/************************************************************************* ALGLIB 3.16.0 (source code generated 2019-12-19) Copyright (c) Sergey Bochkanov (ALGLIB project). >>> SOURCE LICENSE >>> This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation (www.fsf.org); either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. A copy of the GNU General Public License is available at http://www.fsf.org/licensing/licenses >>> END OF LICENSE >>> *************************************************************************/ #ifdef _MSC_VER #define _CRT_SECURE_NO_WARNINGS #endif #include "stdafx.h" #include "statistics.h" // disable some irrelevant warnings #if (AE_COMPILER==AE_MSVC) && !defined(AE_ALL_WARNINGS) #pragma warning(disable:4100) #pragma warning(disable:4127) #pragma warning(disable:4611) #pragma warning(disable:4702) #pragma warning(disable:4996) #endif ///////////////////////////////////////////////////////////////////////// // // THIS SECTION CONTAINS IMPLEMENTATION OF C++ INTERFACE // ///////////////////////////////////////////////////////////////////////// namespace alglib { #if defined(AE_COMPILE_BASESTAT) || !defined(AE_PARTIAL_BUILD) #endif #if defined(AE_COMPILE_WSR) || !defined(AE_PARTIAL_BUILD) #endif #if defined(AE_COMPILE_STEST) || !defined(AE_PARTIAL_BUILD) #endif #if defined(AE_COMPILE_CORRELATIONTESTS) || !defined(AE_PARTIAL_BUILD) #endif #if defined(AE_COMPILE_STUDENTTTESTS) || !defined(AE_PARTIAL_BUILD) #endif #if defined(AE_COMPILE_MANNWHITNEYU) || !defined(AE_PARTIAL_BUILD) #endif #if defined(AE_COMPILE_JARQUEBERA) || !defined(AE_PARTIAL_BUILD) #endif #if defined(AE_COMPILE_VARIANCETESTS) || !defined(AE_PARTIAL_BUILD) #endif #if defined(AE_COMPILE_BASESTAT) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Calculation of the distribution moments: mean, variance, skewness, kurtosis. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X OUTPUT PARAMETERS Mean - mean. Variance- variance. Skewness- skewness (if variance<>0; zero otherwise). Kurtosis- kurtosis (if variance<>0; zero otherwise). NOTE: variance is calculated by dividing sum of squares by N-1, not N. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ void samplemoments(const real_1d_array &x, const ae_int_t n, double &mean, double &variance, double &skewness, double &kurtosis, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::samplemoments(const_cast(x.c_ptr()), n, &mean, &variance, &skewness, &kurtosis, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Calculation of the distribution moments: mean, variance, skewness, kurtosis. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X OUTPUT PARAMETERS Mean - mean. Variance- variance. Skewness- skewness (if variance<>0; zero otherwise). Kurtosis- kurtosis (if variance<>0; zero otherwise). NOTE: variance is calculated by dividing sum of squares by N-1, not N. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void samplemoments(const real_1d_array &x, double &mean, double &variance, double &skewness, double &kurtosis, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; n = x.length(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::samplemoments(const_cast(x.c_ptr()), n, &mean, &variance, &skewness, &kurtosis, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* Calculation of the mean. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Mean' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ double samplemean(const real_1d_array &x, const ae_int_t n, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return 0; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::samplemean(const_cast(x.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } /************************************************************************* Calculation of the mean. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Mean' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) double samplemean(const real_1d_array &x, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; n = x.length(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::samplemean(const_cast(x.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } #endif /************************************************************************* Calculation of the variance. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Variance' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ double samplevariance(const real_1d_array &x, const ae_int_t n, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return 0; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::samplevariance(const_cast(x.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } /************************************************************************* Calculation of the variance. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Variance' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) double samplevariance(const real_1d_array &x, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; n = x.length(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::samplevariance(const_cast(x.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } #endif /************************************************************************* Calculation of the skewness. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Skewness' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ double sampleskewness(const real_1d_array &x, const ae_int_t n, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return 0; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::sampleskewness(const_cast(x.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } /************************************************************************* Calculation of the skewness. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Skewness' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) double sampleskewness(const real_1d_array &x, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; n = x.length(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::sampleskewness(const_cast(x.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } #endif /************************************************************************* Calculation of the kurtosis. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Kurtosis' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ double samplekurtosis(const real_1d_array &x, const ae_int_t n, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return 0; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::samplekurtosis(const_cast(x.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } /************************************************************************* Calculation of the kurtosis. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Kurtosis' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) double samplekurtosis(const real_1d_array &x, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; n = x.length(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::samplekurtosis(const_cast(x.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } #endif /************************************************************************* ADev Input parameters: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X Output parameters: ADev- ADev -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ void sampleadev(const real_1d_array &x, const ae_int_t n, double &adev, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::sampleadev(const_cast(x.c_ptr()), n, &adev, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* ADev Input parameters: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X Output parameters: ADev- ADev -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void sampleadev(const real_1d_array &x, double &adev, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; n = x.length(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::sampleadev(const_cast(x.c_ptr()), n, &adev, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* Median calculation. Input parameters: X - sample (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X Output parameters: Median -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ void samplemedian(const real_1d_array &x, const ae_int_t n, double &median, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::samplemedian(const_cast(x.c_ptr()), n, &median, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Median calculation. Input parameters: X - sample (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X Output parameters: Median -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void samplemedian(const real_1d_array &x, double &median, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; n = x.length(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::samplemedian(const_cast(x.c_ptr()), n, &median, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* Percentile calculation. Input parameters: X - sample (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X P - percentile (0<=P<=1) Output parameters: V - percentile -- ALGLIB -- Copyright 01.03.2008 by Bochkanov Sergey *************************************************************************/ void samplepercentile(const real_1d_array &x, const ae_int_t n, const double p, double &v, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::samplepercentile(const_cast(x.c_ptr()), n, p, &v, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Percentile calculation. Input parameters: X - sample (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X P - percentile (0<=P<=1) Output parameters: V - percentile -- ALGLIB -- Copyright 01.03.2008 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void samplepercentile(const real_1d_array &x, const double p, double &v, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; n = x.length(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::samplepercentile(const_cast(x.c_ptr()), n, p, &v, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* 2-sample covariance Input parameters: X - sample 1 (array indexes: [0..N-1]) Y - sample 2 (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only N leading elements of X/Y are processed * if not given, automatically determined from input sizes Result: covariance (zero for N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ double cov2(const real_1d_array &x, const real_1d_array &y, const ae_int_t n, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return 0; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::cov2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } /************************************************************************* 2-sample covariance Input parameters: X - sample 1 (array indexes: [0..N-1]) Y - sample 2 (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only N leading elements of X/Y are processed * if not given, automatically determined from input sizes Result: covariance (zero for N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) double cov2(const real_1d_array &x, const real_1d_array &y, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; if( (x.length()!=y.length())) _ALGLIB_CPP_EXCEPTION("Error while calling 'cov2': looks like one of arguments has wrong size"); n = x.length(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::cov2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } #endif /************************************************************************* Pearson product-moment correlation coefficient Input parameters: X - sample 1 (array indexes: [0..N-1]) Y - sample 2 (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only N leading elements of X/Y are processed * if not given, automatically determined from input sizes Result: Pearson product-moment correlation coefficient (zero for N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ double pearsoncorr2(const real_1d_array &x, const real_1d_array &y, const ae_int_t n, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return 0; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::pearsoncorr2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } /************************************************************************* Pearson product-moment correlation coefficient Input parameters: X - sample 1 (array indexes: [0..N-1]) Y - sample 2 (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only N leading elements of X/Y are processed * if not given, automatically determined from input sizes Result: Pearson product-moment correlation coefficient (zero for N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) double pearsoncorr2(const real_1d_array &x, const real_1d_array &y, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; if( (x.length()!=y.length())) _ALGLIB_CPP_EXCEPTION("Error while calling 'pearsoncorr2': looks like one of arguments has wrong size"); n = x.length(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::pearsoncorr2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } #endif /************************************************************************* Spearman's rank correlation coefficient Input parameters: X - sample 1 (array indexes: [0..N-1]) Y - sample 2 (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only N leading elements of X/Y are processed * if not given, automatically determined from input sizes Result: Spearman's rank correlation coefficient (zero for N=0 or N=1) -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ double spearmancorr2(const real_1d_array &x, const real_1d_array &y, const ae_int_t n, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return 0; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::spearmancorr2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } /************************************************************************* Spearman's rank correlation coefficient Input parameters: X - sample 1 (array indexes: [0..N-1]) Y - sample 2 (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only N leading elements of X/Y are processed * if not given, automatically determined from input sizes Result: Spearman's rank correlation coefficient (zero for N=0 or N=1) -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) double spearmancorr2(const real_1d_array &x, const real_1d_array &y, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; if( (x.length()!=y.length())) _ALGLIB_CPP_EXCEPTION("Error while calling 'spearmancorr2': looks like one of arguments has wrong size"); n = x.length(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::spearmancorr2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } #endif /************************************************************************* Covariance matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X are used * if not given, automatically determined from input size M - M>0, number of variables: * if given, only leading M columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M,M], covariance matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void covm(const real_2d_array &x, const ae_int_t n, const ae_int_t m, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::covm(const_cast(x.c_ptr()), n, m, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Covariance matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X are used * if not given, automatically determined from input size M - M>0, number of variables: * if given, only leading M columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M,M], covariance matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void covm(const real_2d_array &x, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; ae_int_t m; n = x.rows(); m = x.cols(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::covm(const_cast(x.c_ptr()), n, m, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* Pearson product-moment correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X are used * if not given, automatically determined from input size M - M>0, number of variables: * if given, only leading M columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M,M], correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void pearsoncorrm(const real_2d_array &x, const ae_int_t n, const ae_int_t m, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::pearsoncorrm(const_cast(x.c_ptr()), n, m, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Pearson product-moment correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X are used * if not given, automatically determined from input size M - M>0, number of variables: * if given, only leading M columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M,M], correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void pearsoncorrm(const real_2d_array &x, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; ae_int_t m; n = x.rows(); m = x.cols(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::pearsoncorrm(const_cast(x.c_ptr()), n, m, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* Spearman's rank correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X are used * if not given, automatically determined from input size M - M>0, number of variables: * if given, only leading M columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M,M], correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void spearmancorrm(const real_2d_array &x, const ae_int_t n, const ae_int_t m, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::spearmancorrm(const_cast(x.c_ptr()), n, m, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Spearman's rank correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X are used * if not given, automatically determined from input size M - M>0, number of variables: * if given, only leading M columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M,M], correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void spearmancorrm(const real_2d_array &x, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; ae_int_t m; n = x.rows(); m = x.cols(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::spearmancorrm(const_cast(x.c_ptr()), n, m, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* Cross-covariance matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M1], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation Y - array[N,M2], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X/Y are used * if not given, automatically determined from input sizes M1 - M1>0, number of variables in X: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size M2 - M2>0, number of variables in Y: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M1,M2], cross-covariance matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void covm2(const real_2d_array &x, const real_2d_array &y, const ae_int_t n, const ae_int_t m1, const ae_int_t m2, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::covm2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, m1, m2, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Cross-covariance matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M1], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation Y - array[N,M2], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X/Y are used * if not given, automatically determined from input sizes M1 - M1>0, number of variables in X: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size M2 - M2>0, number of variables in Y: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M1,M2], cross-covariance matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void covm2(const real_2d_array &x, const real_2d_array &y, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; ae_int_t m1; ae_int_t m2; if( (x.rows()!=y.rows())) _ALGLIB_CPP_EXCEPTION("Error while calling 'covm2': looks like one of arguments has wrong size"); n = x.rows(); m1 = x.cols(); m2 = y.cols(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::covm2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, m1, m2, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* Pearson product-moment cross-correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M1], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation Y - array[N,M2], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X/Y are used * if not given, automatically determined from input sizes M1 - M1>0, number of variables in X: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size M2 - M2>0, number of variables in Y: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M1,M2], cross-correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void pearsoncorrm2(const real_2d_array &x, const real_2d_array &y, const ae_int_t n, const ae_int_t m1, const ae_int_t m2, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::pearsoncorrm2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, m1, m2, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Pearson product-moment cross-correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M1], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation Y - array[N,M2], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X/Y are used * if not given, automatically determined from input sizes M1 - M1>0, number of variables in X: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size M2 - M2>0, number of variables in Y: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M1,M2], cross-correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void pearsoncorrm2(const real_2d_array &x, const real_2d_array &y, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; ae_int_t m1; ae_int_t m2; if( (x.rows()!=y.rows())) _ALGLIB_CPP_EXCEPTION("Error while calling 'pearsoncorrm2': looks like one of arguments has wrong size"); n = x.rows(); m1 = x.cols(); m2 = y.cols(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::pearsoncorrm2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, m1, m2, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* Spearman's rank cross-correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M1], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation Y - array[N,M2], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X/Y are used * if not given, automatically determined from input sizes M1 - M1>0, number of variables in X: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size M2 - M2>0, number of variables in Y: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M1,M2], cross-correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void spearmancorrm2(const real_2d_array &x, const real_2d_array &y, const ae_int_t n, const ae_int_t m1, const ae_int_t m2, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::spearmancorrm2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, m1, m2, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Spearman's rank cross-correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M1], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation Y - array[N,M2], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X/Y are used * if not given, automatically determined from input sizes M1 - M1>0, number of variables in X: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size M2 - M2>0, number of variables in Y: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M1,M2], cross-correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void spearmancorrm2(const real_2d_array &x, const real_2d_array &y, real_2d_array &c, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t n; ae_int_t m1; ae_int_t m2; if( (x.rows()!=y.rows())) _ALGLIB_CPP_EXCEPTION("Error while calling 'spearmancorrm2': looks like one of arguments has wrong size"); n = x.rows(); m1 = x.cols(); m2 = y.cols(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::spearmancorrm2(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, m1, m2, const_cast(c.c_ptr()), &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* This function replaces data in XY by their ranks: * XY is processed row-by-row * rows are processed separately * tied data are correctly handled (tied ranks are calculated) * ranking starts from 0, ends at NFeatures-1 * sum of within-row values is equal to (NFeatures-1)*NFeatures/2 ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: XY - array[NPoints,NFeatures], dataset NPoints - number of points NFeatures- number of features OUTPUT PARAMETERS: XY - data are replaced by their within-row ranks; ranking starts from 0, ends at NFeatures-1 -- ALGLIB -- Copyright 18.04.2013 by Bochkanov Sergey *************************************************************************/ void rankdata(const real_2d_array &xy, const ae_int_t npoints, const ae_int_t nfeatures, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::rankdata(const_cast(xy.c_ptr()), npoints, nfeatures, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* This function replaces data in XY by their ranks: * XY is processed row-by-row * rows are processed separately * tied data are correctly handled (tied ranks are calculated) * ranking starts from 0, ends at NFeatures-1 * sum of within-row values is equal to (NFeatures-1)*NFeatures/2 ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: XY - array[NPoints,NFeatures], dataset NPoints - number of points NFeatures- number of features OUTPUT PARAMETERS: XY - data are replaced by their within-row ranks; ranking starts from 0, ends at NFeatures-1 -- ALGLIB -- Copyright 18.04.2013 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void rankdata(real_2d_array &xy, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t npoints; ae_int_t nfeatures; npoints = xy.rows(); nfeatures = xy.cols(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::rankdata(const_cast(xy.c_ptr()), npoints, nfeatures, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* This function replaces data in XY by their CENTERED ranks: * XY is processed row-by-row * rows are processed separately * tied data are correctly handled (tied ranks are calculated) * centered ranks are just usual ranks, but centered in such way that sum of within-row values is equal to 0.0. * centering is performed by subtracting mean from each row, i.e it changes mean value, but does NOT change higher moments ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: XY - array[NPoints,NFeatures], dataset NPoints - number of points NFeatures- number of features OUTPUT PARAMETERS: XY - data are replaced by their within-row ranks; ranking starts from 0, ends at NFeatures-1 -- ALGLIB -- Copyright 18.04.2013 by Bochkanov Sergey *************************************************************************/ void rankdatacentered(const real_2d_array &xy, const ae_int_t npoints, const ae_int_t nfeatures, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::rankdatacentered(const_cast(xy.c_ptr()), npoints, nfeatures, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* This function replaces data in XY by their CENTERED ranks: * XY is processed row-by-row * rows are processed separately * tied data are correctly handled (tied ranks are calculated) * centered ranks are just usual ranks, but centered in such way that sum of within-row values is equal to 0.0. * centering is performed by subtracting mean from each row, i.e it changes mean value, but does NOT change higher moments ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: XY - array[NPoints,NFeatures], dataset NPoints - number of points NFeatures- number of features OUTPUT PARAMETERS: XY - data are replaced by their within-row ranks; ranking starts from 0, ends at NFeatures-1 -- ALGLIB -- Copyright 18.04.2013 by Bochkanov Sergey *************************************************************************/ #if !defined(AE_NO_EXCEPTIONS) void rankdatacentered(real_2d_array &xy, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; ae_int_t npoints; ae_int_t nfeatures; npoints = xy.rows(); nfeatures = xy.cols(); alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::rankdatacentered(const_cast(xy.c_ptr()), npoints, nfeatures, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif /************************************************************************* Obsolete function, we recommend to use PearsonCorr2(). -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ double pearsoncorrelation(const real_1d_array &x, const real_1d_array &y, const ae_int_t n, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return 0; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::pearsoncorrelation(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } /************************************************************************* Obsolete function, we recommend to use SpearmanCorr2(). -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ double spearmanrankcorrelation(const real_1d_array &x, const real_1d_array &y, const ae_int_t n, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return 0; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); double result = alglib_impl::spearmanrankcorrelation(const_cast(x.c_ptr()), const_cast(y.c_ptr()), n, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return *(reinterpret_cast(&result)); } #endif #if defined(AE_COMPILE_WSR) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Wilcoxon signed-rank test This test checks three hypotheses about the median of the given sample. The following tests are performed: * two-tailed test (null hypothesis - the median is equal to the given value) * left-tailed test (null hypothesis - the median is greater than or equal to the given value) * right-tailed test (null hypothesis - the median is less than or equal to the given value) Requirements: * the scale of measurement should be ordinal, interval or ratio (i.e. the test could not be applied to nominal variables). * the distribution should be continuous and symmetric relative to its median. * number of distinct values in the X array should be greater than 4 The test is non-parametric and doesn't require distribution X to be normal Input parameters: X - sample. Array whose index goes from 0 to N-1. N - size of the sample. Median - assumed median value. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. To calculate p-values, special approximation is used. This method lets us calculate p-values with two decimal places in interval [0.0001, 1]. "Two decimal places" does not sound very impressive, but in practice the relative error of less than 1% is enough to make a decision. There is no approximation outside the [0.0001, 1] interval. Therefore, if the significance level outlies this interval, the test returns 0.0001. -- ALGLIB -- Copyright 08.09.2006 by Bochkanov Sergey *************************************************************************/ void wilcoxonsignedranktest(const real_1d_array &x, const ae_int_t n, const double e, double &bothtails, double &lefttail, double &righttail, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::wilcoxonsignedranktest(const_cast(x.c_ptr()), n, e, &bothtails, &lefttail, &righttail, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif #if defined(AE_COMPILE_STEST) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Sign test This test checks three hypotheses about the median of the given sample. The following tests are performed: * two-tailed test (null hypothesis - the median is equal to the given value) * left-tailed test (null hypothesis - the median is greater than or equal to the given value) * right-tailed test (null hypothesis - the median is less than or equal to the given value) Requirements: * the scale of measurement should be ordinal, interval or ratio (i.e. the test could not be applied to nominal variables). The test is non-parametric and doesn't require distribution X to be normal Input parameters: X - sample. Array whose index goes from 0 to N-1. N - size of the sample. Median - assumed median value. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. While calculating p-values high-precision binomial distribution approximation is used, so significance levels have about 15 exact digits. -- ALGLIB -- Copyright 08.09.2006 by Bochkanov Sergey *************************************************************************/ void onesamplesigntest(const real_1d_array &x, const ae_int_t n, const double median, double &bothtails, double &lefttail, double &righttail, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::onesamplesigntest(const_cast(x.c_ptr()), n, median, &bothtails, &lefttail, &righttail, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif #if defined(AE_COMPILE_CORRELATIONTESTS) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Pearson's correlation coefficient significance test This test checks hypotheses about whether X and Y are samples of two continuous distributions having zero correlation or whether their correlation is non-zero. The following tests are performed: * two-tailed test (null hypothesis - X and Y have zero correlation) * left-tailed test (null hypothesis - the correlation coefficient is greater than or equal to 0) * right-tailed test (null hypothesis - the correlation coefficient is less than or equal to 0). Requirements: * the number of elements in each sample is not less than 5 * normality of distributions of X and Y. Input parameters: R - Pearson's correlation coefficient for X and Y N - number of elements in samples, N>=5. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ void pearsoncorrelationsignificance(const double r, const ae_int_t n, double &bothtails, double &lefttail, double &righttail, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::pearsoncorrelationsignificance(r, n, &bothtails, &lefttail, &righttail, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Spearman's rank correlation coefficient significance test This test checks hypotheses about whether X and Y are samples of two continuous distributions having zero correlation or whether their correlation is non-zero. The following tests are performed: * two-tailed test (null hypothesis - X and Y have zero correlation) * left-tailed test (null hypothesis - the correlation coefficient is greater than or equal to 0) * right-tailed test (null hypothesis - the correlation coefficient is less than or equal to 0). Requirements: * the number of elements in each sample is not less than 5. The test is non-parametric and doesn't require distributions X and Y to be normal. Input parameters: R - Spearman's rank correlation coefficient for X and Y N - number of elements in samples, N>=5. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ void spearmanrankcorrelationsignificance(const double r, const ae_int_t n, double &bothtails, double &lefttail, double &righttail, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::spearmanrankcorrelationsignificance(r, n, &bothtails, &lefttail, &righttail, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif #if defined(AE_COMPILE_STUDENTTTESTS) || !defined(AE_PARTIAL_BUILD) /************************************************************************* One-sample t-test This test checks three hypotheses about the mean of the given sample. The following tests are performed: * two-tailed test (null hypothesis - the mean is equal to the given value) * left-tailed test (null hypothesis - the mean is greater than or equal to the given value) * right-tailed test (null hypothesis - the mean is less than or equal to the given value). The test is based on the assumption that a given sample has a normal distribution and an unknown dispersion. If the distribution sharply differs from normal, the test will work incorrectly. INPUT PARAMETERS: X - sample. Array whose index goes from 0 to N-1. N - size of sample, N>=0 Mean - assumed value of the mean. OUTPUT PARAMETERS: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. NOTE: this function correctly handles degenerate cases: * when N=0, all p-values are set to 1.0 * when variance of X[] is exactly zero, p-values are set to 1.0 or 0.0, depending on difference between sample mean and value of mean being tested. -- ALGLIB -- Copyright 08.09.2006 by Bochkanov Sergey *************************************************************************/ void studentttest1(const real_1d_array &x, const ae_int_t n, const double mean, double &bothtails, double &lefttail, double &righttail, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::studentttest1(const_cast(x.c_ptr()), n, mean, &bothtails, &lefttail, &righttail, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Two-sample pooled test This test checks three hypotheses about the mean of the given samples. The following tests are performed: * two-tailed test (null hypothesis - the means are equal) * left-tailed test (null hypothesis - the mean of the first sample is greater than or equal to the mean of the second sample) * right-tailed test (null hypothesis - the mean of the first sample is less than or equal to the mean of the second sample). Test is based on the following assumptions: * given samples have normal distributions * dispersions are equal * samples are independent. Input parameters: X - sample 1. Array whose index goes from 0 to N-1. N - size of sample. Y - sample 2. Array whose index goes from 0 to M-1. M - size of sample. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. NOTE: this function correctly handles degenerate cases: * when N=0 or M=0, all p-values are set to 1.0 * when both samples has exactly zero variance, p-values are set to 1.0 or 0.0, depending on difference between means. -- ALGLIB -- Copyright 18.09.2006 by Bochkanov Sergey *************************************************************************/ void studentttest2(const real_1d_array &x, const ae_int_t n, const real_1d_array &y, const ae_int_t m, double &bothtails, double &lefttail, double &righttail, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::studentttest2(const_cast(x.c_ptr()), n, const_cast(y.c_ptr()), m, &bothtails, &lefttail, &righttail, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* Two-sample unpooled test This test checks three hypotheses about the mean of the given samples. The following tests are performed: * two-tailed test (null hypothesis - the means are equal) * left-tailed test (null hypothesis - the mean of the first sample is greater than or equal to the mean of the second sample) * right-tailed test (null hypothesis - the mean of the first sample is less than or equal to the mean of the second sample). Test is based on the following assumptions: * given samples have normal distributions * samples are independent. Equality of variances is NOT required. Input parameters: X - sample 1. Array whose index goes from 0 to N-1. N - size of the sample. Y - sample 2. Array whose index goes from 0 to M-1. M - size of the sample. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. NOTE: this function correctly handles degenerate cases: * when N=0 or M=0, all p-values are set to 1.0 * when both samples has zero variance, p-values are set to 1.0 or 0.0, depending on difference between means. * when only one sample has zero variance, test reduces to 1-sample version. -- ALGLIB -- Copyright 18.09.2006 by Bochkanov Sergey *************************************************************************/ void unequalvariancettest(const real_1d_array &x, const ae_int_t n, const real_1d_array &y, const ae_int_t m, double &bothtails, double &lefttail, double &righttail, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::unequalvariancettest(const_cast(x.c_ptr()), n, const_cast(y.c_ptr()), m, &bothtails, &lefttail, &righttail, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif #if defined(AE_COMPILE_MANNWHITNEYU) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Mann-Whitney U-test This test checks hypotheses about whether X and Y are samples of two continuous distributions of the same shape and same median or whether their medians are different. The following tests are performed: * two-tailed test (null hypothesis - the medians are equal) * left-tailed test (null hypothesis - the median of the first sample is greater than or equal to the median of the second sample) * right-tailed test (null hypothesis - the median of the first sample is less than or equal to the median of the second sample). Requirements: * the samples are independent * X and Y are continuous distributions (or discrete distributions well- approximating continuous distributions) * distributions of X and Y have the same shape. The only possible difference is their position (i.e. the value of the median) * the number of elements in each sample is not less than 5 * the scale of measurement should be ordinal, interval or ratio (i.e. the test could not be applied to nominal variables). The test is non-parametric and doesn't require distributions to be normal. Input parameters: X - sample 1. Array whose index goes from 0 to N-1. N - size of the sample. N>=5 Y - sample 2. Array whose index goes from 0 to M-1. M - size of the sample. M>=5 Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. To calculate p-values, special approximation is used. This method lets us calculate p-values with satisfactory accuracy in interval [0.0001, 1]. There is no approximation outside the [0.0001, 1] interval. Therefore, if the significance level outlies this interval, the test returns 0.0001. Relative precision of approximation of p-value: N M Max.err. Rms.err. 5..10 N..10 1.4e-02 6.0e-04 5..10 N..100 2.2e-02 5.3e-06 10..15 N..15 1.0e-02 3.2e-04 10..15 N..100 1.0e-02 2.2e-05 15..100 N..100 6.1e-03 2.7e-06 For N,M>100 accuracy checks weren't put into practice, but taking into account characteristics of asymptotic approximation used, precision should not be sharply different from the values for interval [5, 100]. NOTE: P-value approximation was optimized for 0.0001<=p<=0.2500. Thus, P's outside of this interval are enforced to these bounds. Say, you may quite often get P equal to exactly 0.25 or 0.0001. -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ void mannwhitneyutest(const real_1d_array &x, const ae_int_t n, const real_1d_array &y, const ae_int_t m, double &bothtails, double &lefttail, double &righttail, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::mannwhitneyutest(const_cast(x.c_ptr()), n, const_cast(y.c_ptr()), m, &bothtails, &lefttail, &righttail, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif #if defined(AE_COMPILE_JARQUEBERA) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Jarque-Bera test This test checks hypotheses about the fact that a given sample X is a sample of normal random variable. Requirements: * the number of elements in the sample is not less than 5. Input parameters: X - sample. Array whose index goes from 0 to N-1. N - size of the sample. N>=5 Output parameters: P - p-value for the test Accuracy of the approximation used (5<=N<=1951): p-value relative error (5<=N<=1951) [1, 0.1] < 1% [0.1, 0.01] < 2% [0.01, 0.001] < 6% [0.001, 0] wasn't measured For N>1951 accuracy wasn't measured but it shouldn't be sharply different from table values. -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ void jarqueberatest(const real_1d_array &x, const ae_int_t n, double &p, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::jarqueberatest(const_cast(x.c_ptr()), n, &p, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif #if defined(AE_COMPILE_VARIANCETESTS) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Two-sample F-test This test checks three hypotheses about dispersions of the given samples. The following tests are performed: * two-tailed test (null hypothesis - the dispersions are equal) * left-tailed test (null hypothesis - the dispersion of the first sample is greater than or equal to the dispersion of the second sample). * right-tailed test (null hypothesis - the dispersion of the first sample is less than or equal to the dispersion of the second sample) The test is based on the following assumptions: * the given samples have normal distributions * the samples are independent. Input parameters: X - sample 1. Array whose index goes from 0 to N-1. N - sample size. Y - sample 2. Array whose index goes from 0 to M-1. M - sample size. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. -- ALGLIB -- Copyright 19.09.2006 by Bochkanov Sergey *************************************************************************/ void ftest(const real_1d_array &x, const ae_int_t n, const real_1d_array &y, const ae_int_t m, double &bothtails, double &lefttail, double &righttail, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::ftest(const_cast(x.c_ptr()), n, const_cast(y.c_ptr()), m, &bothtails, &lefttail, &righttail, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } /************************************************************************* One-sample chi-square test This test checks three hypotheses about the dispersion of the given sample The following tests are performed: * two-tailed test (null hypothesis - the dispersion equals the given number) * left-tailed test (null hypothesis - the dispersion is greater than or equal to the given number) * right-tailed test (null hypothesis - dispersion is less than or equal to the given number). Test is based on the following assumptions: * the given sample has a normal distribution. Input parameters: X - sample 1. Array whose index goes from 0 to N-1. N - size of the sample. Variance - dispersion value to compare with. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. -- ALGLIB -- Copyright 19.09.2006 by Bochkanov Sergey *************************************************************************/ void onesamplevariancetest(const real_1d_array &x, const ae_int_t n, const double variance, double &bothtails, double &lefttail, double &righttail, const xparams _xparams) { jmp_buf _break_jump; alglib_impl::ae_state _alglib_env_state; alglib_impl::ae_state_init(&_alglib_env_state); if( setjmp(_break_jump) ) { #if !defined(AE_NO_EXCEPTIONS) _ALGLIB_CPP_EXCEPTION(_alglib_env_state.error_msg); #else _ALGLIB_SET_ERROR_FLAG(_alglib_env_state.error_msg); return; #endif } ae_state_set_break_jump(&_alglib_env_state, &_break_jump); if( _xparams.flags!=0x0 ) ae_state_set_flags(&_alglib_env_state, _xparams.flags); alglib_impl::onesamplevariancetest(const_cast(x.c_ptr()), n, variance, &bothtails, &lefttail, &righttail, &_alglib_env_state); alglib_impl::ae_state_clear(&_alglib_env_state); return; } #endif } ///////////////////////////////////////////////////////////////////////// // // THIS SECTION CONTAINS IMPLEMENTATION OF COMPUTATIONAL CORE // ///////////////////////////////////////////////////////////////////////// namespace alglib_impl { #if defined(AE_COMPILE_BASESTAT) || !defined(AE_PARTIAL_BUILD) static void basestat_rankdatarec(/* Real */ ae_matrix* xy, ae_int_t i0, ae_int_t i1, ae_int_t nfeatures, ae_bool iscentered, ae_shared_pool* pool, ae_int_t basecasecost, ae_state *_state); ae_bool _trypexec_basestat_rankdatarec(/* Real */ ae_matrix* xy, ae_int_t i0, ae_int_t i1, ae_int_t nfeatures, ae_bool iscentered, ae_shared_pool* pool, ae_int_t basecasecost, ae_state *_state); static void basestat_rankdatabasecase(/* Real */ ae_matrix* xy, ae_int_t i0, ae_int_t i1, ae_int_t nfeatures, ae_bool iscentered, apbuffers* buf0, apbuffers* buf1, ae_state *_state); ae_bool _trypexec_basestat_rankdatabasecase(/* Real */ ae_matrix* xy, ae_int_t i0, ae_int_t i1, ae_int_t nfeatures, ae_bool iscentered, apbuffers* buf0, apbuffers* buf1, ae_state *_state); #endif #if defined(AE_COMPILE_WSR) || !defined(AE_PARTIAL_BUILD) static void wsr_wcheb(double x, double c, double* tj, double* tj1, double* r, ae_state *_state); static double wsr_w5(double s, ae_state *_state); static double wsr_w6(double s, ae_state *_state); static double wsr_w7(double s, ae_state *_state); static double wsr_w8(double s, ae_state *_state); static double wsr_w9(double s, ae_state *_state); static double wsr_w10(double s, ae_state *_state); static double wsr_w11(double s, ae_state *_state); static double wsr_w12(double s, ae_state *_state); static double wsr_w13(double s, ae_state *_state); static double wsr_w14(double s, ae_state *_state); static double wsr_w15(double s, ae_state *_state); static double wsr_w16(double s, ae_state *_state); static double wsr_w17(double s, ae_state *_state); static double wsr_w18(double s, ae_state *_state); static double wsr_w19(double s, ae_state *_state); static double wsr_w20(double s, ae_state *_state); static double wsr_w21(double s, ae_state *_state); static double wsr_w22(double s, ae_state *_state); static double wsr_w23(double s, ae_state *_state); static double wsr_w24(double s, ae_state *_state); static double wsr_w25(double s, ae_state *_state); static double wsr_w26(double s, ae_state *_state); static double wsr_w27(double s, ae_state *_state); static double wsr_w28(double s, ae_state *_state); static double wsr_w29(double s, ae_state *_state); static double wsr_w30(double s, ae_state *_state); static double wsr_w40(double s, ae_state *_state); static double wsr_w60(double s, ae_state *_state); static double wsr_w120(double s, ae_state *_state); static double wsr_w200(double s, ae_state *_state); static double wsr_wsigma(double s, ae_int_t n, ae_state *_state); #endif #if defined(AE_COMPILE_STEST) || !defined(AE_PARTIAL_BUILD) #endif #if defined(AE_COMPILE_CORRELATIONTESTS) || !defined(AE_PARTIAL_BUILD) static double correlationtests_spearmantail5(double s, ae_state *_state); static double correlationtests_spearmantail6(double s, ae_state *_state); static double correlationtests_spearmantail7(double s, ae_state *_state); static double correlationtests_spearmantail8(double s, ae_state *_state); static double correlationtests_spearmantail9(double s, ae_state *_state); static double correlationtests_spearmantail(double t, ae_int_t n, ae_state *_state); #endif #if defined(AE_COMPILE_STUDENTTTESTS) || !defined(AE_PARTIAL_BUILD) #endif #if defined(AE_COMPILE_MANNWHITNEYU) || !defined(AE_PARTIAL_BUILD) static void mannwhitneyu_ucheb(double x, double c, double* tj, double* tj1, double* r, ae_state *_state); static double mannwhitneyu_uninterpolate(double p1, double p2, double p3, ae_int_t n, ae_state *_state); static double mannwhitneyu_usigma000(ae_int_t n1, ae_int_t n2, ae_state *_state); static double mannwhitneyu_usigma075(ae_int_t n1, ae_int_t n2, ae_state *_state); static double mannwhitneyu_usigma150(ae_int_t n1, ae_int_t n2, ae_state *_state); static double mannwhitneyu_usigma225(ae_int_t n1, ae_int_t n2, ae_state *_state); static double mannwhitneyu_usigma300(ae_int_t n1, ae_int_t n2, ae_state *_state); static double mannwhitneyu_usigma333(ae_int_t n1, ae_int_t n2, ae_state *_state); static double mannwhitneyu_usigma367(ae_int_t n1, ae_int_t n2, ae_state *_state); static double mannwhitneyu_usigma400(ae_int_t n1, ae_int_t n2, ae_state *_state); static double mannwhitneyu_utbln5n5(double s, ae_state *_state); static double mannwhitneyu_utbln5n6(double s, ae_state *_state); static double mannwhitneyu_utbln5n7(double s, ae_state *_state); static double mannwhitneyu_utbln5n8(double s, ae_state *_state); static double mannwhitneyu_utbln5n9(double s, ae_state *_state); static double mannwhitneyu_utbln5n10(double s, ae_state *_state); static double mannwhitneyu_utbln5n11(double s, ae_state *_state); static double mannwhitneyu_utbln5n12(double s, ae_state *_state); static double mannwhitneyu_utbln5n13(double s, ae_state *_state); static double mannwhitneyu_utbln5n14(double s, ae_state *_state); static double mannwhitneyu_utbln5n15(double s, ae_state *_state); static double mannwhitneyu_utbln5n16(double s, ae_state *_state); static double mannwhitneyu_utbln5n17(double s, ae_state *_state); static double mannwhitneyu_utbln5n18(double s, ae_state *_state); static double mannwhitneyu_utbln5n19(double s, ae_state *_state); static double mannwhitneyu_utbln5n20(double s, ae_state *_state); static double mannwhitneyu_utbln5n21(double s, ae_state *_state); static double mannwhitneyu_utbln5n22(double s, ae_state *_state); static double mannwhitneyu_utbln5n23(double s, ae_state *_state); static double mannwhitneyu_utbln5n24(double s, ae_state *_state); static double mannwhitneyu_utbln5n25(double s, ae_state *_state); static double mannwhitneyu_utbln5n26(double s, ae_state *_state); static double mannwhitneyu_utbln5n27(double s, ae_state *_state); static double mannwhitneyu_utbln5n28(double s, ae_state *_state); static double mannwhitneyu_utbln5n29(double s, ae_state *_state); static double mannwhitneyu_utbln5n30(double s, ae_state *_state); static double mannwhitneyu_utbln5n100(double s, ae_state *_state); static double mannwhitneyu_utbln6n6(double s, ae_state *_state); static double mannwhitneyu_utbln6n7(double s, ae_state *_state); static double mannwhitneyu_utbln6n8(double s, ae_state *_state); static double mannwhitneyu_utbln6n9(double s, ae_state *_state); static double mannwhitneyu_utbln6n10(double s, ae_state *_state); static double mannwhitneyu_utbln6n11(double s, ae_state *_state); static double mannwhitneyu_utbln6n12(double s, ae_state *_state); static double mannwhitneyu_utbln6n13(double s, ae_state *_state); static double mannwhitneyu_utbln6n14(double s, ae_state *_state); static double mannwhitneyu_utbln6n15(double s, ae_state *_state); static double mannwhitneyu_utbln6n30(double s, ae_state *_state); static double mannwhitneyu_utbln6n100(double s, ae_state *_state); static double mannwhitneyu_utbln7n7(double s, ae_state *_state); static double mannwhitneyu_utbln7n8(double s, ae_state *_state); static double mannwhitneyu_utbln7n9(double s, ae_state *_state); static double mannwhitneyu_utbln7n10(double s, ae_state *_state); static double mannwhitneyu_utbln7n11(double s, ae_state *_state); static double mannwhitneyu_utbln7n12(double s, ae_state *_state); static double mannwhitneyu_utbln7n13(double s, ae_state *_state); static double mannwhitneyu_utbln7n14(double s, ae_state *_state); static double mannwhitneyu_utbln7n15(double s, ae_state *_state); static double mannwhitneyu_utbln7n30(double s, ae_state *_state); static double mannwhitneyu_utbln7n100(double s, ae_state *_state); static double mannwhitneyu_utbln8n8(double s, ae_state *_state); static double mannwhitneyu_utbln8n9(double s, ae_state *_state); static double mannwhitneyu_utbln8n10(double s, ae_state *_state); static double mannwhitneyu_utbln8n11(double s, ae_state *_state); static double mannwhitneyu_utbln8n12(double s, ae_state *_state); static double mannwhitneyu_utbln8n13(double s, ae_state *_state); static double mannwhitneyu_utbln8n14(double s, ae_state *_state); static double mannwhitneyu_utbln8n15(double s, ae_state *_state); static double mannwhitneyu_utbln8n30(double s, ae_state *_state); static double mannwhitneyu_utbln8n100(double s, ae_state *_state); static double mannwhitneyu_utbln9n9(double s, ae_state *_state); static double mannwhitneyu_utbln9n10(double s, ae_state *_state); static double mannwhitneyu_utbln9n11(double s, ae_state *_state); static double mannwhitneyu_utbln9n12(double s, ae_state *_state); static double mannwhitneyu_utbln9n13(double s, ae_state *_state); static double mannwhitneyu_utbln9n14(double s, ae_state *_state); static double mannwhitneyu_utbln9n15(double s, ae_state *_state); static double mannwhitneyu_utbln9n30(double s, ae_state *_state); static double mannwhitneyu_utbln9n100(double s, ae_state *_state); static double mannwhitneyu_utbln10n10(double s, ae_state *_state); static double mannwhitneyu_utbln10n11(double s, ae_state *_state); static double mannwhitneyu_utbln10n12(double s, ae_state *_state); static double mannwhitneyu_utbln10n13(double s, ae_state *_state); static double mannwhitneyu_utbln10n14(double s, ae_state *_state); static double mannwhitneyu_utbln10n15(double s, ae_state *_state); static double mannwhitneyu_utbln10n30(double s, ae_state *_state); static double mannwhitneyu_utbln10n100(double s, ae_state *_state); static double mannwhitneyu_utbln11n11(double s, ae_state *_state); static double mannwhitneyu_utbln11n12(double s, ae_state *_state); static double mannwhitneyu_utbln11n13(double s, ae_state *_state); static double mannwhitneyu_utbln11n14(double s, ae_state *_state); static double mannwhitneyu_utbln11n15(double s, ae_state *_state); static double mannwhitneyu_utbln11n30(double s, ae_state *_state); static double mannwhitneyu_utbln11n100(double s, ae_state *_state); static double mannwhitneyu_utbln12n12(double s, ae_state *_state); static double mannwhitneyu_utbln12n13(double s, ae_state *_state); static double mannwhitneyu_utbln12n14(double s, ae_state *_state); static double mannwhitneyu_utbln12n15(double s, ae_state *_state); static double mannwhitneyu_utbln12n30(double s, ae_state *_state); static double mannwhitneyu_utbln12n100(double s, ae_state *_state); static double mannwhitneyu_utbln13n13(double s, ae_state *_state); static double mannwhitneyu_utbln13n14(double s, ae_state *_state); static double mannwhitneyu_utbln13n15(double s, ae_state *_state); static double mannwhitneyu_utbln13n30(double s, ae_state *_state); static double mannwhitneyu_utbln13n100(double s, ae_state *_state); static double mannwhitneyu_utbln14n14(double s, ae_state *_state); static double mannwhitneyu_utbln14n15(double s, ae_state *_state); static double mannwhitneyu_utbln14n30(double s, ae_state *_state); static double mannwhitneyu_utbln14n100(double s, ae_state *_state); static double mannwhitneyu_usigma(double s, ae_int_t n1, ae_int_t n2, ae_state *_state); #endif #if defined(AE_COMPILE_JARQUEBERA) || !defined(AE_PARTIAL_BUILD) static void jarquebera_jarqueberastatistic(/* Real */ ae_vector* x, ae_int_t n, double* s, ae_state *_state); static double jarquebera_jarqueberaapprox(ae_int_t n, double s, ae_state *_state); static double jarquebera_jbtbl5(double s, ae_state *_state); static double jarquebera_jbtbl6(double s, ae_state *_state); static double jarquebera_jbtbl7(double s, ae_state *_state); static double jarquebera_jbtbl8(double s, ae_state *_state); static double jarquebera_jbtbl9(double s, ae_state *_state); static double jarquebera_jbtbl10(double s, ae_state *_state); static double jarquebera_jbtbl11(double s, ae_state *_state); static double jarquebera_jbtbl12(double s, ae_state *_state); static double jarquebera_jbtbl13(double s, ae_state *_state); static double jarquebera_jbtbl14(double s, ae_state *_state); static double jarquebera_jbtbl15(double s, ae_state *_state); static double jarquebera_jbtbl16(double s, ae_state *_state); static double jarquebera_jbtbl17(double s, ae_state *_state); static double jarquebera_jbtbl18(double s, ae_state *_state); static double jarquebera_jbtbl19(double s, ae_state *_state); static double jarquebera_jbtbl20(double s, ae_state *_state); static double jarquebera_jbtbl30(double s, ae_state *_state); static double jarquebera_jbtbl50(double s, ae_state *_state); static double jarquebera_jbtbl65(double s, ae_state *_state); static double jarquebera_jbtbl100(double s, ae_state *_state); static double jarquebera_jbtbl130(double s, ae_state *_state); static double jarquebera_jbtbl200(double s, ae_state *_state); static double jarquebera_jbtbl301(double s, ae_state *_state); static double jarquebera_jbtbl501(double s, ae_state *_state); static double jarquebera_jbtbl701(double s, ae_state *_state); static double jarquebera_jbtbl1401(double s, ae_state *_state); static void jarquebera_jbcheb(double x, double c, double* tj, double* tj1, double* r, ae_state *_state); #endif #if defined(AE_COMPILE_VARIANCETESTS) || !defined(AE_PARTIAL_BUILD) #endif #if defined(AE_COMPILE_BASESTAT) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Calculation of the distribution moments: mean, variance, skewness, kurtosis. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X OUTPUT PARAMETERS Mean - mean. Variance- variance. Skewness- skewness (if variance<>0; zero otherwise). Kurtosis- kurtosis (if variance<>0; zero otherwise). NOTE: variance is calculated by dividing sum of squares by N-1, not N. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ void samplemoments(/* Real */ ae_vector* x, ae_int_t n, double* mean, double* variance, double* skewness, double* kurtosis, ae_state *_state) { ae_int_t i; double v; double v1; double v2; double stddev; *mean = 0; *variance = 0; *skewness = 0; *kurtosis = 0; ae_assert(n>=0, "SampleMoments: N<0", _state); ae_assert(x->cnt>=n, "SampleMoments: Length(X)ptr.p_double[i]; } *mean = *mean/n; /* * Variance (using corrected two-pass algorithm) */ if( n!=1 ) { v1 = (double)(0); for(i=0; i<=n-1; i++) { v1 = v1+ae_sqr(x->ptr.p_double[i]-(*mean), _state); } v2 = (double)(0); for(i=0; i<=n-1; i++) { v2 = v2+(x->ptr.p_double[i]-(*mean)); } v2 = ae_sqr(v2, _state)/n; *variance = (v1-v2)/(n-1); if( ae_fp_less(*variance,(double)(0)) ) { *variance = (double)(0); } stddev = ae_sqrt(*variance, _state); } /* * Skewness and kurtosis */ if( ae_fp_neq(stddev,(double)(0)) ) { for(i=0; i<=n-1; i++) { v = (x->ptr.p_double[i]-(*mean))/stddev; v2 = ae_sqr(v, _state); *skewness = *skewness+v2*v; *kurtosis = *kurtosis+ae_sqr(v2, _state); } *skewness = *skewness/n; *kurtosis = *kurtosis/n-3; } } /************************************************************************* Calculation of the mean. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Mean' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ double samplemean(/* Real */ ae_vector* x, ae_int_t n, ae_state *_state) { double mean; double tmp0; double tmp1; double tmp2; double result; samplemoments(x, n, &mean, &tmp0, &tmp1, &tmp2, _state); result = mean; return result; } /************************************************************************* Calculation of the variance. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Variance' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ double samplevariance(/* Real */ ae_vector* x, ae_int_t n, ae_state *_state) { double variance; double tmp0; double tmp1; double tmp2; double result; samplemoments(x, n, &tmp0, &variance, &tmp1, &tmp2, _state); result = variance; return result; } /************************************************************************* Calculation of the skewness. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Skewness' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ double sampleskewness(/* Real */ ae_vector* x, ae_int_t n, ae_state *_state) { double skewness; double tmp0; double tmp1; double tmp2; double result; samplemoments(x, n, &tmp0, &tmp1, &skewness, &tmp2, _state); result = skewness; return result; } /************************************************************************* Calculation of the kurtosis. INPUT PARAMETERS: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X NOTE: This function return result which calculated by 'SampleMoments' function and stored at 'Kurtosis' variable. -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ double samplekurtosis(/* Real */ ae_vector* x, ae_int_t n, ae_state *_state) { double kurtosis; double tmp0; double tmp1; double tmp2; double result; samplemoments(x, n, &tmp0, &tmp1, &tmp2, &kurtosis, _state); result = kurtosis; return result; } /************************************************************************* ADev Input parameters: X - sample N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X Output parameters: ADev- ADev -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ void sampleadev(/* Real */ ae_vector* x, ae_int_t n, double* adev, ae_state *_state) { ae_int_t i; double mean; *adev = 0; ae_assert(n>=0, "SampleADev: N<0", _state); ae_assert(x->cnt>=n, "SampleADev: Length(X)ptr.p_double[i]; } mean = mean/n; /* * ADev */ for(i=0; i<=n-1; i++) { *adev = *adev+ae_fabs(x->ptr.p_double[i]-mean, _state); } *adev = *adev/n; } /************************************************************************* Median calculation. Input parameters: X - sample (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X Output parameters: Median -- ALGLIB -- Copyright 06.09.2006 by Bochkanov Sergey *************************************************************************/ void samplemedian(/* Real */ ae_vector* x, ae_int_t n, double* median, ae_state *_state) { ae_frame _frame_block; ae_vector _x; ae_int_t i; ae_int_t ir; ae_int_t j; ae_int_t l; ae_int_t midp; ae_int_t k; double a; double tval; ae_frame_make(_state, &_frame_block); memset(&_x, 0, sizeof(_x)); ae_vector_init_copy(&_x, x, _state, ae_true); x = &_x; *median = 0; ae_assert(n>=0, "SampleMedian: N<0", _state); ae_assert(x->cnt>=n, "SampleMedian: Length(X)ptr.p_double[0]; ae_frame_leave(_state); return; } if( n==2 ) { *median = 0.5*(x->ptr.p_double[0]+x->ptr.p_double[1]); ae_frame_leave(_state); return; } /* * Common case, N>=3. * Choose X[(N-1)/2] */ l = 0; ir = n-1; k = (n-1)/2; for(;;) { if( ir<=l+1 ) { /* * 1 or 2 elements in partition */ if( ir==l+1&&ae_fp_less(x->ptr.p_double[ir],x->ptr.p_double[l]) ) { tval = x->ptr.p_double[l]; x->ptr.p_double[l] = x->ptr.p_double[ir]; x->ptr.p_double[ir] = tval; } break; } else { midp = (l+ir)/2; tval = x->ptr.p_double[midp]; x->ptr.p_double[midp] = x->ptr.p_double[l+1]; x->ptr.p_double[l+1] = tval; if( ae_fp_greater(x->ptr.p_double[l],x->ptr.p_double[ir]) ) { tval = x->ptr.p_double[l]; x->ptr.p_double[l] = x->ptr.p_double[ir]; x->ptr.p_double[ir] = tval; } if( ae_fp_greater(x->ptr.p_double[l+1],x->ptr.p_double[ir]) ) { tval = x->ptr.p_double[l+1]; x->ptr.p_double[l+1] = x->ptr.p_double[ir]; x->ptr.p_double[ir] = tval; } if( ae_fp_greater(x->ptr.p_double[l],x->ptr.p_double[l+1]) ) { tval = x->ptr.p_double[l]; x->ptr.p_double[l] = x->ptr.p_double[l+1]; x->ptr.p_double[l+1] = tval; } i = l+1; j = ir; a = x->ptr.p_double[l+1]; for(;;) { do { i = i+1; } while(ae_fp_less(x->ptr.p_double[i],a)); do { j = j-1; } while(ae_fp_greater(x->ptr.p_double[j],a)); if( jptr.p_double[i]; x->ptr.p_double[i] = x->ptr.p_double[j]; x->ptr.p_double[j] = tval; } x->ptr.p_double[l+1] = x->ptr.p_double[j]; x->ptr.p_double[j] = a; if( j>=k ) { ir = j-1; } if( j<=k ) { l = i; } } } /* * If N is odd, return result */ if( n%2==1 ) { *median = x->ptr.p_double[k]; ae_frame_leave(_state); return; } a = x->ptr.p_double[n-1]; for(i=k+1; i<=n-1; i++) { if( ae_fp_less(x->ptr.p_double[i],a) ) { a = x->ptr.p_double[i]; } } *median = 0.5*(x->ptr.p_double[k]+a); ae_frame_leave(_state); } /************************************************************************* Percentile calculation. Input parameters: X - sample (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only leading N elements of X are processed * if not given, automatically determined from size of X P - percentile (0<=P<=1) Output parameters: V - percentile -- ALGLIB -- Copyright 01.03.2008 by Bochkanov Sergey *************************************************************************/ void samplepercentile(/* Real */ ae_vector* x, ae_int_t n, double p, double* v, ae_state *_state) { ae_frame _frame_block; ae_vector _x; ae_int_t i1; double t; ae_vector rbuf; ae_frame_make(_state, &_frame_block); memset(&_x, 0, sizeof(_x)); memset(&rbuf, 0, sizeof(rbuf)); ae_vector_init_copy(&_x, x, _state, ae_true); x = &_x; *v = 0; ae_vector_init(&rbuf, 0, DT_REAL, _state, ae_true); ae_assert(n>=0, "SamplePercentile: N<0", _state); ae_assert(x->cnt>=n, "SamplePercentile: Length(X)ptr.p_double[0]; ae_frame_leave(_state); return; } if( ae_fp_eq(p,(double)(1)) ) { *v = x->ptr.p_double[n-1]; ae_frame_leave(_state); return; } t = p*(n-1); i1 = ae_ifloor(t, _state); t = t-ae_ifloor(t, _state); *v = x->ptr.p_double[i1]*(1-t)+x->ptr.p_double[i1+1]*t; ae_frame_leave(_state); } /************************************************************************* 2-sample covariance Input parameters: X - sample 1 (array indexes: [0..N-1]) Y - sample 2 (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only N leading elements of X/Y are processed * if not given, automatically determined from input sizes Result: covariance (zero for N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ double cov2(/* Real */ ae_vector* x, /* Real */ ae_vector* y, ae_int_t n, ae_state *_state) { ae_int_t i; double xmean; double ymean; double v; double x0; double y0; double s; ae_bool samex; ae_bool samey; double result; ae_assert(n>=0, "Cov2: N<0", _state); ae_assert(x->cnt>=n, "Cov2: Length(X)cnt>=n, "Cov2: Length(Y)ptr.p_double[0]; y0 = y->ptr.p_double[0]; v = (double)1/(double)n; for(i=0; i<=n-1; i++) { s = x->ptr.p_double[i]; samex = samex&&ae_fp_eq(s,x0); xmean = xmean+s*v; s = y->ptr.p_double[i]; samey = samey&&ae_fp_eq(s,y0); ymean = ymean+s*v; } if( samex||samey ) { result = (double)(0); return result; } /* * covariance */ v = (double)1/(double)(n-1); result = (double)(0); for(i=0; i<=n-1; i++) { result = result+v*(x->ptr.p_double[i]-xmean)*(y->ptr.p_double[i]-ymean); } return result; } /************************************************************************* Pearson product-moment correlation coefficient Input parameters: X - sample 1 (array indexes: [0..N-1]) Y - sample 2 (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only N leading elements of X/Y are processed * if not given, automatically determined from input sizes Result: Pearson product-moment correlation coefficient (zero for N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ double pearsoncorr2(/* Real */ ae_vector* x, /* Real */ ae_vector* y, ae_int_t n, ae_state *_state) { ae_int_t i; double xmean; double ymean; double v; double x0; double y0; double s; ae_bool samex; ae_bool samey; double xv; double yv; double t1; double t2; double result; ae_assert(n>=0, "PearsonCorr2: N<0", _state); ae_assert(x->cnt>=n, "PearsonCorr2: Length(X)cnt>=n, "PearsonCorr2: Length(Y)ptr.p_double[0]; y0 = y->ptr.p_double[0]; v = (double)1/(double)n; for(i=0; i<=n-1; i++) { s = x->ptr.p_double[i]; samex = samex&&ae_fp_eq(s,x0); xmean = xmean+s*v; s = y->ptr.p_double[i]; samey = samey&&ae_fp_eq(s,y0); ymean = ymean+s*v; } if( samex||samey ) { result = (double)(0); return result; } /* * numerator and denominator */ s = (double)(0); xv = (double)(0); yv = (double)(0); for(i=0; i<=n-1; i++) { t1 = x->ptr.p_double[i]-xmean; t2 = y->ptr.p_double[i]-ymean; xv = xv+ae_sqr(t1, _state); yv = yv+ae_sqr(t2, _state); s = s+t1*t2; } if( ae_fp_eq(xv,(double)(0))||ae_fp_eq(yv,(double)(0)) ) { result = (double)(0); } else { result = s/(ae_sqrt(xv, _state)*ae_sqrt(yv, _state)); } return result; } /************************************************************************* Spearman's rank correlation coefficient Input parameters: X - sample 1 (array indexes: [0..N-1]) Y - sample 2 (array indexes: [0..N-1]) N - N>=0, sample size: * if given, only N leading elements of X/Y are processed * if not given, automatically determined from input sizes Result: Spearman's rank correlation coefficient (zero for N=0 or N=1) -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ double spearmancorr2(/* Real */ ae_vector* x, /* Real */ ae_vector* y, ae_int_t n, ae_state *_state) { ae_frame _frame_block; ae_vector _x; ae_vector _y; apbuffers buf; double result; ae_frame_make(_state, &_frame_block); memset(&_x, 0, sizeof(_x)); memset(&_y, 0, sizeof(_y)); memset(&buf, 0, sizeof(buf)); ae_vector_init_copy(&_x, x, _state, ae_true); x = &_x; ae_vector_init_copy(&_y, y, _state, ae_true); y = &_y; _apbuffers_init(&buf, _state, ae_true); ae_assert(n>=0, "SpearmanCorr2: N<0", _state); ae_assert(x->cnt>=n, "SpearmanCorr2: Length(X)cnt>=n, "SpearmanCorr2: Length(Y)=0, number of observations: * if given, only leading N rows of X are used * if not given, automatically determined from input size M - M>0, number of variables: * if given, only leading M columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M,M], covariance matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void covm(/* Real */ ae_matrix* x, ae_int_t n, ae_int_t m, /* Real */ ae_matrix* c, ae_state *_state) { ae_frame _frame_block; ae_matrix _x; ae_int_t i; ae_int_t j; double v; ae_vector t; ae_vector x0; ae_vector same; ae_frame_make(_state, &_frame_block); memset(&_x, 0, sizeof(_x)); memset(&t, 0, sizeof(t)); memset(&x0, 0, sizeof(x0)); memset(&same, 0, sizeof(same)); ae_matrix_init_copy(&_x, x, _state, ae_true); x = &_x; ae_matrix_clear(c); ae_vector_init(&t, 0, DT_REAL, _state, ae_true); ae_vector_init(&x0, 0, DT_REAL, _state, ae_true); ae_vector_init(&same, 0, DT_BOOL, _state, ae_true); ae_assert(n>=0, "CovM: N<0", _state); ae_assert(m>=1, "CovM: M<1", _state); ae_assert(x->rows>=n, "CovM: Rows(X)cols>=m||n==0, "CovM: Cols(X)ptr.pp_double[i][j] = (double)(0); } } ae_frame_leave(_state); return; } /* * Calculate means, * check for constant columns */ ae_vector_set_length(&t, m, _state); ae_vector_set_length(&x0, m, _state); ae_vector_set_length(&same, m, _state); ae_matrix_set_length(c, m, m, _state); for(i=0; i<=m-1; i++) { t.ptr.p_double[i] = (double)(0); same.ptr.p_bool[i] = ae_true; } ae_v_move(&x0.ptr.p_double[0], 1, &x->ptr.pp_double[0][0], 1, ae_v_len(0,m-1)); v = (double)1/(double)n; for(i=0; i<=n-1; i++) { ae_v_addd(&t.ptr.p_double[0], 1, &x->ptr.pp_double[i][0], 1, ae_v_len(0,m-1), v); for(j=0; j<=m-1; j++) { same.ptr.p_bool[j] = same.ptr.p_bool[j]&&ae_fp_eq(x->ptr.pp_double[i][j],x0.ptr.p_double[j]); } } /* * * center variables; * * if we have constant columns, these columns are * artificially zeroed (they must be zero in exact arithmetics, * but unfortunately floating point ops are not exact). * * calculate upper half of symmetric covariance matrix */ for(i=0; i<=n-1; i++) { ae_v_sub(&x->ptr.pp_double[i][0], 1, &t.ptr.p_double[0], 1, ae_v_len(0,m-1)); for(j=0; j<=m-1; j++) { if( same.ptr.p_bool[j] ) { x->ptr.pp_double[i][j] = (double)(0); } } } rmatrixsyrk(m, n, (double)1/(double)(n-1), x, 0, 0, 1, 0.0, c, 0, 0, ae_true, _state); rmatrixenforcesymmetricity(c, m, ae_true, _state); ae_frame_leave(_state); } /************************************************************************* Pearson product-moment correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X are used * if not given, automatically determined from input size M - M>0, number of variables: * if given, only leading M columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M,M], correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void pearsoncorrm(/* Real */ ae_matrix* x, ae_int_t n, ae_int_t m, /* Real */ ae_matrix* c, ae_state *_state) { ae_frame _frame_block; ae_vector t; ae_int_t i; ae_int_t j; double v; ae_frame_make(_state, &_frame_block); memset(&t, 0, sizeof(t)); ae_matrix_clear(c); ae_vector_init(&t, 0, DT_REAL, _state, ae_true); ae_assert(n>=0, "PearsonCorrM: N<0", _state); ae_assert(m>=1, "PearsonCorrM: M<1", _state); ae_assert(x->rows>=n, "PearsonCorrM: Rows(X)cols>=m||n==0, "PearsonCorrM: Cols(X)ptr.pp_double[i][i],(double)(0)) ) { t.ptr.p_double[i] = 1/ae_sqrt(c->ptr.pp_double[i][i], _state); } else { t.ptr.p_double[i] = 0.0; } } for(i=0; i<=m-1; i++) { v = t.ptr.p_double[i]; for(j=0; j<=m-1; j++) { c->ptr.pp_double[i][j] = c->ptr.pp_double[i][j]*v*t.ptr.p_double[j]; } } ae_frame_leave(_state); } /************************************************************************* Spearman's rank correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X are used * if not given, automatically determined from input size M - M>0, number of variables: * if given, only leading M columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M,M], correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void spearmancorrm(/* Real */ ae_matrix* x, ae_int_t n, ae_int_t m, /* Real */ ae_matrix* c, ae_state *_state) { ae_frame _frame_block; ae_int_t i; ae_int_t j; apbuffers buf; ae_matrix xc; ae_vector t; double v; double vv; double x0; ae_bool b; ae_frame_make(_state, &_frame_block); memset(&buf, 0, sizeof(buf)); memset(&xc, 0, sizeof(xc)); memset(&t, 0, sizeof(t)); ae_matrix_clear(c); _apbuffers_init(&buf, _state, ae_true); ae_matrix_init(&xc, 0, 0, DT_REAL, _state, ae_true); ae_vector_init(&t, 0, DT_REAL, _state, ae_true); ae_assert(n>=0, "SpearmanCorrM: N<0", _state); ae_assert(m>=1, "SpearmanCorrM: M<1", _state); ae_assert(x->rows>=n, "SpearmanCorrM: Rows(X)cols>=m||n==0, "SpearmanCorrM: Cols(X)ptr.pp_double[i][j] = (double)(0); } } ae_frame_leave(_state); return; } /* * Allocate */ ae_vector_set_length(&t, ae_maxint(n, m, _state), _state); ae_matrix_set_length(c, m, m, _state); /* * Replace data with ranks */ ae_matrix_set_length(&xc, m, n, _state); rmatrixtranspose(n, m, x, 0, 0, &xc, 0, 0, _state); rankdata(&xc, m, n, _state); /* * 1. Calculate means, check for constant columns * 2. Center variables, constant columns are * artificialy zeroed (they must be zero in exact arithmetics, * but unfortunately floating point is not exact). */ for(i=0; i<=m-1; i++) { /* * Calculate: * * V - mean value of I-th variable * * B - True in case all variable values are same */ v = (double)(0); b = ae_true; x0 = xc.ptr.pp_double[i][0]; for(j=0; j<=n-1; j++) { vv = xc.ptr.pp_double[i][j]; v = v+vv; b = b&&ae_fp_eq(vv,x0); } v = v/n; /* * Center/zero I-th variable */ if( b ) { /* * Zero */ for(j=0; j<=n-1; j++) { xc.ptr.pp_double[i][j] = 0.0; } } else { /* * Center */ for(j=0; j<=n-1; j++) { xc.ptr.pp_double[i][j] = xc.ptr.pp_double[i][j]-v; } } } /* * Calculate upper half of symmetric covariance matrix */ rmatrixsyrk(m, n, (double)1/(double)(n-1), &xc, 0, 0, 0, 0.0, c, 0, 0, ae_true, _state); /* * Calculate Pearson coefficients (upper triangle) */ for(i=0; i<=m-1; i++) { if( ae_fp_greater(c->ptr.pp_double[i][i],(double)(0)) ) { t.ptr.p_double[i] = 1/ae_sqrt(c->ptr.pp_double[i][i], _state); } else { t.ptr.p_double[i] = 0.0; } } for(i=0; i<=m-1; i++) { v = t.ptr.p_double[i]; for(j=i; j<=m-1; j++) { c->ptr.pp_double[i][j] = c->ptr.pp_double[i][j]*v*t.ptr.p_double[j]; } } /* * force symmetricity */ rmatrixenforcesymmetricity(c, m, ae_true, _state); ae_frame_leave(_state); } /************************************************************************* Cross-covariance matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M1], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation Y - array[N,M2], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X/Y are used * if not given, automatically determined from input sizes M1 - M1>0, number of variables in X: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size M2 - M2>0, number of variables in Y: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M1,M2], cross-covariance matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void covm2(/* Real */ ae_matrix* x, /* Real */ ae_matrix* y, ae_int_t n, ae_int_t m1, ae_int_t m2, /* Real */ ae_matrix* c, ae_state *_state) { ae_frame _frame_block; ae_matrix _x; ae_matrix _y; ae_int_t i; ae_int_t j; double v; ae_vector t; ae_vector x0; ae_vector y0; ae_vector samex; ae_vector samey; ae_frame_make(_state, &_frame_block); memset(&_x, 0, sizeof(_x)); memset(&_y, 0, sizeof(_y)); memset(&t, 0, sizeof(t)); memset(&x0, 0, sizeof(x0)); memset(&y0, 0, sizeof(y0)); memset(&samex, 0, sizeof(samex)); memset(&samey, 0, sizeof(samey)); ae_matrix_init_copy(&_x, x, _state, ae_true); x = &_x; ae_matrix_init_copy(&_y, y, _state, ae_true); y = &_y; ae_matrix_clear(c); ae_vector_init(&t, 0, DT_REAL, _state, ae_true); ae_vector_init(&x0, 0, DT_REAL, _state, ae_true); ae_vector_init(&y0, 0, DT_REAL, _state, ae_true); ae_vector_init(&samex, 0, DT_BOOL, _state, ae_true); ae_vector_init(&samey, 0, DT_BOOL, _state, ae_true); ae_assert(n>=0, "CovM2: N<0", _state); ae_assert(m1>=1, "CovM2: M1<1", _state); ae_assert(m2>=1, "CovM2: M2<1", _state); ae_assert(x->rows>=n, "CovM2: Rows(X)cols>=m1||n==0, "CovM2: Cols(X)rows>=n, "CovM2: Rows(Y)cols>=m2||n==0, "CovM2: Cols(Y)ptr.pp_double[i][j] = (double)(0); } } ae_frame_leave(_state); return; } /* * Allocate */ ae_vector_set_length(&t, ae_maxint(m1, m2, _state), _state); ae_vector_set_length(&x0, m1, _state); ae_vector_set_length(&y0, m2, _state); ae_vector_set_length(&samex, m1, _state); ae_vector_set_length(&samey, m2, _state); ae_matrix_set_length(c, m1, m2, _state); /* * * calculate means of X * * center X * * if we have constant columns, these columns are * artificially zeroed (they must be zero in exact arithmetics, * but unfortunately floating point ops are not exact). */ for(i=0; i<=m1-1; i++) { t.ptr.p_double[i] = (double)(0); samex.ptr.p_bool[i] = ae_true; } ae_v_move(&x0.ptr.p_double[0], 1, &x->ptr.pp_double[0][0], 1, ae_v_len(0,m1-1)); v = (double)1/(double)n; for(i=0; i<=n-1; i++) { ae_v_addd(&t.ptr.p_double[0], 1, &x->ptr.pp_double[i][0], 1, ae_v_len(0,m1-1), v); for(j=0; j<=m1-1; j++) { samex.ptr.p_bool[j] = samex.ptr.p_bool[j]&&ae_fp_eq(x->ptr.pp_double[i][j],x0.ptr.p_double[j]); } } for(i=0; i<=n-1; i++) { ae_v_sub(&x->ptr.pp_double[i][0], 1, &t.ptr.p_double[0], 1, ae_v_len(0,m1-1)); for(j=0; j<=m1-1; j++) { if( samex.ptr.p_bool[j] ) { x->ptr.pp_double[i][j] = (double)(0); } } } /* * Repeat same steps for Y */ for(i=0; i<=m2-1; i++) { t.ptr.p_double[i] = (double)(0); samey.ptr.p_bool[i] = ae_true; } ae_v_move(&y0.ptr.p_double[0], 1, &y->ptr.pp_double[0][0], 1, ae_v_len(0,m2-1)); v = (double)1/(double)n; for(i=0; i<=n-1; i++) { ae_v_addd(&t.ptr.p_double[0], 1, &y->ptr.pp_double[i][0], 1, ae_v_len(0,m2-1), v); for(j=0; j<=m2-1; j++) { samey.ptr.p_bool[j] = samey.ptr.p_bool[j]&&ae_fp_eq(y->ptr.pp_double[i][j],y0.ptr.p_double[j]); } } for(i=0; i<=n-1; i++) { ae_v_sub(&y->ptr.pp_double[i][0], 1, &t.ptr.p_double[0], 1, ae_v_len(0,m2-1)); for(j=0; j<=m2-1; j++) { if( samey.ptr.p_bool[j] ) { y->ptr.pp_double[i][j] = (double)(0); } } } /* * calculate cross-covariance matrix */ rmatrixgemm(m1, m2, n, (double)1/(double)(n-1), x, 0, 0, 1, y, 0, 0, 0, 0.0, c, 0, 0, _state); ae_frame_leave(_state); } /************************************************************************* Pearson product-moment cross-correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M1], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation Y - array[N,M2], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X/Y are used * if not given, automatically determined from input sizes M1 - M1>0, number of variables in X: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size M2 - M2>0, number of variables in Y: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M1,M2], cross-correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void pearsoncorrm2(/* Real */ ae_matrix* x, /* Real */ ae_matrix* y, ae_int_t n, ae_int_t m1, ae_int_t m2, /* Real */ ae_matrix* c, ae_state *_state) { ae_frame _frame_block; ae_matrix _x; ae_matrix _y; ae_int_t i; ae_int_t j; double v; ae_vector t; ae_vector x0; ae_vector y0; ae_vector sx; ae_vector sy; ae_vector samex; ae_vector samey; ae_frame_make(_state, &_frame_block); memset(&_x, 0, sizeof(_x)); memset(&_y, 0, sizeof(_y)); memset(&t, 0, sizeof(t)); memset(&x0, 0, sizeof(x0)); memset(&y0, 0, sizeof(y0)); memset(&sx, 0, sizeof(sx)); memset(&sy, 0, sizeof(sy)); memset(&samex, 0, sizeof(samex)); memset(&samey, 0, sizeof(samey)); ae_matrix_init_copy(&_x, x, _state, ae_true); x = &_x; ae_matrix_init_copy(&_y, y, _state, ae_true); y = &_y; ae_matrix_clear(c); ae_vector_init(&t, 0, DT_REAL, _state, ae_true); ae_vector_init(&x0, 0, DT_REAL, _state, ae_true); ae_vector_init(&y0, 0, DT_REAL, _state, ae_true); ae_vector_init(&sx, 0, DT_REAL, _state, ae_true); ae_vector_init(&sy, 0, DT_REAL, _state, ae_true); ae_vector_init(&samex, 0, DT_BOOL, _state, ae_true); ae_vector_init(&samey, 0, DT_BOOL, _state, ae_true); ae_assert(n>=0, "PearsonCorrM2: N<0", _state); ae_assert(m1>=1, "PearsonCorrM2: M1<1", _state); ae_assert(m2>=1, "PearsonCorrM2: M2<1", _state); ae_assert(x->rows>=n, "PearsonCorrM2: Rows(X)cols>=m1||n==0, "PearsonCorrM2: Cols(X)rows>=n, "PearsonCorrM2: Rows(Y)cols>=m2||n==0, "PearsonCorrM2: Cols(Y)ptr.pp_double[i][j] = (double)(0); } } ae_frame_leave(_state); return; } /* * Allocate */ ae_vector_set_length(&t, ae_maxint(m1, m2, _state), _state); ae_vector_set_length(&x0, m1, _state); ae_vector_set_length(&y0, m2, _state); ae_vector_set_length(&sx, m1, _state); ae_vector_set_length(&sy, m2, _state); ae_vector_set_length(&samex, m1, _state); ae_vector_set_length(&samey, m2, _state); ae_matrix_set_length(c, m1, m2, _state); /* * * calculate means of X * * center X * * if we have constant columns, these columns are * artificially zeroed (they must be zero in exact arithmetics, * but unfortunately floating point ops are not exact). * * calculate column variances */ for(i=0; i<=m1-1; i++) { t.ptr.p_double[i] = (double)(0); samex.ptr.p_bool[i] = ae_true; sx.ptr.p_double[i] = (double)(0); } ae_v_move(&x0.ptr.p_double[0], 1, &x->ptr.pp_double[0][0], 1, ae_v_len(0,m1-1)); v = (double)1/(double)n; for(i=0; i<=n-1; i++) { ae_v_addd(&t.ptr.p_double[0], 1, &x->ptr.pp_double[i][0], 1, ae_v_len(0,m1-1), v); for(j=0; j<=m1-1; j++) { samex.ptr.p_bool[j] = samex.ptr.p_bool[j]&&ae_fp_eq(x->ptr.pp_double[i][j],x0.ptr.p_double[j]); } } for(i=0; i<=n-1; i++) { ae_v_sub(&x->ptr.pp_double[i][0], 1, &t.ptr.p_double[0], 1, ae_v_len(0,m1-1)); for(j=0; j<=m1-1; j++) { if( samex.ptr.p_bool[j] ) { x->ptr.pp_double[i][j] = (double)(0); } sx.ptr.p_double[j] = sx.ptr.p_double[j]+x->ptr.pp_double[i][j]*x->ptr.pp_double[i][j]; } } for(j=0; j<=m1-1; j++) { sx.ptr.p_double[j] = ae_sqrt(sx.ptr.p_double[j]/(n-1), _state); } /* * Repeat same steps for Y */ for(i=0; i<=m2-1; i++) { t.ptr.p_double[i] = (double)(0); samey.ptr.p_bool[i] = ae_true; sy.ptr.p_double[i] = (double)(0); } ae_v_move(&y0.ptr.p_double[0], 1, &y->ptr.pp_double[0][0], 1, ae_v_len(0,m2-1)); v = (double)1/(double)n; for(i=0; i<=n-1; i++) { ae_v_addd(&t.ptr.p_double[0], 1, &y->ptr.pp_double[i][0], 1, ae_v_len(0,m2-1), v); for(j=0; j<=m2-1; j++) { samey.ptr.p_bool[j] = samey.ptr.p_bool[j]&&ae_fp_eq(y->ptr.pp_double[i][j],y0.ptr.p_double[j]); } } for(i=0; i<=n-1; i++) { ae_v_sub(&y->ptr.pp_double[i][0], 1, &t.ptr.p_double[0], 1, ae_v_len(0,m2-1)); for(j=0; j<=m2-1; j++) { if( samey.ptr.p_bool[j] ) { y->ptr.pp_double[i][j] = (double)(0); } sy.ptr.p_double[j] = sy.ptr.p_double[j]+y->ptr.pp_double[i][j]*y->ptr.pp_double[i][j]; } } for(j=0; j<=m2-1; j++) { sy.ptr.p_double[j] = ae_sqrt(sy.ptr.p_double[j]/(n-1), _state); } /* * calculate cross-covariance matrix */ rmatrixgemm(m1, m2, n, (double)1/(double)(n-1), x, 0, 0, 1, y, 0, 0, 0, 0.0, c, 0, 0, _state); /* * Divide by standard deviations */ for(i=0; i<=m1-1; i++) { if( ae_fp_neq(sx.ptr.p_double[i],(double)(0)) ) { sx.ptr.p_double[i] = 1/sx.ptr.p_double[i]; } else { sx.ptr.p_double[i] = 0.0; } } for(i=0; i<=m2-1; i++) { if( ae_fp_neq(sy.ptr.p_double[i],(double)(0)) ) { sy.ptr.p_double[i] = 1/sy.ptr.p_double[i]; } else { sy.ptr.p_double[i] = 0.0; } } for(i=0; i<=m1-1; i++) { v = sx.ptr.p_double[i]; for(j=0; j<=m2-1; j++) { c->ptr.pp_double[i][j] = c->ptr.pp_double[i][j]*v*sy.ptr.p_double[j]; } } ae_frame_leave(_state); } /************************************************************************* Spearman's rank cross-correlation matrix ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! * hardware vendor (Intel) implementations of linear algebra primitives ! (C++ and C# versions, x86/x64 platform) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: X - array[N,M1], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation Y - array[N,M2], sample matrix: * J-th column corresponds to J-th variable * I-th row corresponds to I-th observation N - N>=0, number of observations: * if given, only leading N rows of X/Y are used * if not given, automatically determined from input sizes M1 - M1>0, number of variables in X: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size M2 - M2>0, number of variables in Y: * if given, only leading M1 columns of X are used * if not given, automatically determined from input size OUTPUT PARAMETERS: C - array[M1,M2], cross-correlation matrix (zero if N=0 or N=1) -- ALGLIB -- Copyright 28.10.2010 by Bochkanov Sergey *************************************************************************/ void spearmancorrm2(/* Real */ ae_matrix* x, /* Real */ ae_matrix* y, ae_int_t n, ae_int_t m1, ae_int_t m2, /* Real */ ae_matrix* c, ae_state *_state) { ae_frame _frame_block; ae_int_t i; ae_int_t j; double v; double v2; double vv; ae_bool b; ae_vector t; double x0; double y0; ae_vector sx; ae_vector sy; ae_matrix xc; ae_matrix yc; apbuffers buf; ae_frame_make(_state, &_frame_block); memset(&t, 0, sizeof(t)); memset(&sx, 0, sizeof(sx)); memset(&sy, 0, sizeof(sy)); memset(&xc, 0, sizeof(xc)); memset(&yc, 0, sizeof(yc)); memset(&buf, 0, sizeof(buf)); ae_matrix_clear(c); ae_vector_init(&t, 0, DT_REAL, _state, ae_true); ae_vector_init(&sx, 0, DT_REAL, _state, ae_true); ae_vector_init(&sy, 0, DT_REAL, _state, ae_true); ae_matrix_init(&xc, 0, 0, DT_REAL, _state, ae_true); ae_matrix_init(&yc, 0, 0, DT_REAL, _state, ae_true); _apbuffers_init(&buf, _state, ae_true); ae_assert(n>=0, "SpearmanCorrM2: N<0", _state); ae_assert(m1>=1, "SpearmanCorrM2: M1<1", _state); ae_assert(m2>=1, "SpearmanCorrM2: M2<1", _state); ae_assert(x->rows>=n, "SpearmanCorrM2: Rows(X)cols>=m1||n==0, "SpearmanCorrM2: Cols(X)rows>=n, "SpearmanCorrM2: Rows(Y)cols>=m2||n==0, "SpearmanCorrM2: Cols(Y)ptr.pp_double[i][j] = (double)(0); } } ae_frame_leave(_state); return; } /* * Allocate */ ae_vector_set_length(&t, ae_maxint(ae_maxint(m1, m2, _state), n, _state), _state); ae_vector_set_length(&sx, m1, _state); ae_vector_set_length(&sy, m2, _state); ae_matrix_set_length(c, m1, m2, _state); /* * Replace data with ranks */ ae_matrix_set_length(&xc, m1, n, _state); ae_matrix_set_length(&yc, m2, n, _state); rmatrixtranspose(n, m1, x, 0, 0, &xc, 0, 0, _state); rmatrixtranspose(n, m2, y, 0, 0, &yc, 0, 0, _state); rankdata(&xc, m1, n, _state); rankdata(&yc, m2, n, _state); /* * 1. Calculate means, variances, check for constant columns * 2. Center variables, constant columns are * artificialy zeroed (they must be zero in exact arithmetics, * but unfortunately floating point is not exact). * * Description of variables: * * V - mean value of I-th variable * * V2- variance * * VV-temporary * * B - True in case all variable values are same */ for(i=0; i<=m1-1; i++) { v = (double)(0); v2 = 0.0; b = ae_true; x0 = xc.ptr.pp_double[i][0]; for(j=0; j<=n-1; j++) { vv = xc.ptr.pp_double[i][j]; v = v+vv; b = b&&ae_fp_eq(vv,x0); } v = v/n; if( b ) { for(j=0; j<=n-1; j++) { xc.ptr.pp_double[i][j] = 0.0; } } else { for(j=0; j<=n-1; j++) { vv = xc.ptr.pp_double[i][j]; xc.ptr.pp_double[i][j] = vv-v; v2 = v2+(vv-v)*(vv-v); } } sx.ptr.p_double[i] = ae_sqrt(v2/(n-1), _state); } for(i=0; i<=m2-1; i++) { v = (double)(0); v2 = 0.0; b = ae_true; y0 = yc.ptr.pp_double[i][0]; for(j=0; j<=n-1; j++) { vv = yc.ptr.pp_double[i][j]; v = v+vv; b = b&&ae_fp_eq(vv,y0); } v = v/n; if( b ) { for(j=0; j<=n-1; j++) { yc.ptr.pp_double[i][j] = 0.0; } } else { for(j=0; j<=n-1; j++) { vv = yc.ptr.pp_double[i][j]; yc.ptr.pp_double[i][j] = vv-v; v2 = v2+(vv-v)*(vv-v); } } sy.ptr.p_double[i] = ae_sqrt(v2/(n-1), _state); } /* * calculate cross-covariance matrix */ rmatrixgemm(m1, m2, n, (double)1/(double)(n-1), &xc, 0, 0, 0, &yc, 0, 0, 1, 0.0, c, 0, 0, _state); /* * Divide by standard deviations */ for(i=0; i<=m1-1; i++) { if( ae_fp_neq(sx.ptr.p_double[i],(double)(0)) ) { sx.ptr.p_double[i] = 1/sx.ptr.p_double[i]; } else { sx.ptr.p_double[i] = 0.0; } } for(i=0; i<=m2-1; i++) { if( ae_fp_neq(sy.ptr.p_double[i],(double)(0)) ) { sy.ptr.p_double[i] = 1/sy.ptr.p_double[i]; } else { sy.ptr.p_double[i] = 0.0; } } for(i=0; i<=m1-1; i++) { v = sx.ptr.p_double[i]; for(j=0; j<=m2-1; j++) { c->ptr.pp_double[i][j] = c->ptr.pp_double[i][j]*v*sy.ptr.p_double[j]; } } ae_frame_leave(_state); } /************************************************************************* This function replaces data in XY by their ranks: * XY is processed row-by-row * rows are processed separately * tied data are correctly handled (tied ranks are calculated) * ranking starts from 0, ends at NFeatures-1 * sum of within-row values is equal to (NFeatures-1)*NFeatures/2 ! COMMERCIAL EDITION OF ALGLIB: ! ! Commercial Edition of ALGLIB includes following important improvements ! of this function: ! * high-performance native backend with same C# interface (C# version) ! * multithreading support (C++ and C# versions) ! ! We recommend you to read 'Working with commercial version' section of ! ALGLIB Reference Manual in order to find out how to use performance- ! related features provided by commercial edition of ALGLIB. INPUT PARAMETERS: XY - array[NPoints,NFeatures], dataset NPoints - number of points NFeatures- number of features OUTPUT PARAMETERS: XY - data are replaced by their within-row ranks; ranking starts from 0, ends at NFeatures-1 -- ALGLIB -- Copyright 18.04.2013 by Bochkanov Sergey *************************************************************************/ void rankdata(/* Real */ ae_matrix* xy, ae_int_t npoints, ae_int_t nfeatures, ae_state *_state) { ae_frame _frame_block; apbuffers buf0; apbuffers buf1; ae_int_t basecasecost; ae_shared_pool pool; ae_frame_make(_state, &_frame_block); memset(&buf0, 0, sizeof(buf0)); memset(&buf1, 0, sizeof(buf1)); memset(&pool, 0, sizeof(pool)); _apbuffers_init(&buf0, _state, ae_true); _apbuffers_init(&buf1, _state, ae_true); ae_shared_pool_init(&pool, _state, ae_true); ae_assert(npoints>=0, "RankData: NPoints<0", _state); ae_assert(nfeatures>=1, "RankData: NFeatures<1", _state); ae_assert(xy->rows>=npoints, "RankData: Rows(XY)cols>=nfeatures||npoints==0, "RankData: Cols(XY)=0, "RankData: NPoints<0", _state); ae_assert(nfeatures>=1, "RankData: NFeatures<1", _state); ae_assert(xy->rows>=npoints, "RankData: Rows(XY)cols>=nfeatures||npoints==0, "RankData: Cols(XY)=i0, "RankDataRec: internal error", _state); /* * Try to activate parallelism */ if( i1-i0>=4&&ae_fp_greater_eq(rmul3((double)(i1-i0), (double)(nfeatures), logbase2((double)(nfeatures), _state), _state),smpactivationlevel(_state)) ) { if( _trypexec_basestat_rankdatarec(xy,i0,i1,nfeatures,iscentered,pool,basecasecost, _state) ) { ae_frame_leave(_state); return; } } /* * Recursively split problem, if it is too large */ problemcost = rmul3((double)(i1-i0), (double)(nfeatures), logbase2((double)(nfeatures), _state), _state); if( i1-i0>=2&&ae_fp_greater(problemcost,spawnlevel(_state)) ) { im = (i1+i0)/2; basestat_rankdatarec(xy, i0, im, nfeatures, iscentered, pool, basecasecost, _state); basestat_rankdatarec(xy, im, i1, nfeatures, iscentered, pool, basecasecost, _state); ae_frame_leave(_state); return; } /* * Retrieve buffers from pool, call serial code, return buffers to pool */ ae_shared_pool_retrieve(pool, &_buf0, _state); ae_shared_pool_retrieve(pool, &_buf1, _state); basestat_rankdatabasecase(xy, i0, i1, nfeatures, iscentered, buf0, buf1, _state); ae_shared_pool_recycle(pool, &_buf0, _state); ae_shared_pool_recycle(pool, &_buf1, _state); ae_frame_leave(_state); } /************************************************************************* Serial stub for GPL edition. *************************************************************************/ ae_bool _trypexec_basestat_rankdatarec(/* Real */ ae_matrix* xy, ae_int_t i0, ae_int_t i1, ae_int_t nfeatures, ae_bool iscentered, ae_shared_pool* pool, ae_int_t basecasecost, ae_state *_state) { return ae_false; } /************************************************************************* Basecase code for RankData(), performs actual work on subset of data using temporary buffer passed as parameter. INPUT PARAMETERS: XY - array[NPoints,NFeatures], dataset I0 - index of first row to process I1 - index of past-the-last row to process; this function processes half-interval [I0,I1). NFeatures- number of features IsCentered- whether ranks are centered or not: * True - ranks are centered in such way that their within-row sum is zero * False - ranks are not centered Buf0 - temporary buffers, may be empty (this function automatically allocates/reuses buffers). Buf1 - temporary buffers, may be empty (this function automatically allocates/reuses buffers). OUTPUT PARAMETERS: XY - data in [I0,I1) are replaced by their within-row ranks; ranking starts from 0, ends at NFeatures-1 -- ALGLIB -- Copyright 18.04.2013 by Bochkanov Sergey *************************************************************************/ static void basestat_rankdatabasecase(/* Real */ ae_matrix* xy, ae_int_t i0, ae_int_t i1, ae_int_t nfeatures, ae_bool iscentered, apbuffers* buf0, apbuffers* buf1, ae_state *_state) { ae_int_t i; ae_assert(i1>=i0, "RankDataBasecase: internal error", _state); if( buf1->ra0.cntra0, nfeatures, _state); } for(i=i0; i<=i1-1; i++) { ae_v_move(&buf1->ra0.ptr.p_double[0], 1, &xy->ptr.pp_double[i][0], 1, ae_v_len(0,nfeatures-1)); rankx(&buf1->ra0, nfeatures, iscentered, buf0, _state); ae_v_move(&xy->ptr.pp_double[i][0], 1, &buf1->ra0.ptr.p_double[0], 1, ae_v_len(0,nfeatures-1)); } } /************************************************************************* Serial stub for GPL edition. *************************************************************************/ ae_bool _trypexec_basestat_rankdatabasecase(/* Real */ ae_matrix* xy, ae_int_t i0, ae_int_t i1, ae_int_t nfeatures, ae_bool iscentered, apbuffers* buf0, apbuffers* buf1, ae_state *_state) { return ae_false; } #endif #if defined(AE_COMPILE_WSR) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Wilcoxon signed-rank test This test checks three hypotheses about the median of the given sample. The following tests are performed: * two-tailed test (null hypothesis - the median is equal to the given value) * left-tailed test (null hypothesis - the median is greater than or equal to the given value) * right-tailed test (null hypothesis - the median is less than or equal to the given value) Requirements: * the scale of measurement should be ordinal, interval or ratio (i.e. the test could not be applied to nominal variables). * the distribution should be continuous and symmetric relative to its median. * number of distinct values in the X array should be greater than 4 The test is non-parametric and doesn't require distribution X to be normal Input parameters: X - sample. Array whose index goes from 0 to N-1. N - size of the sample. Median - assumed median value. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. To calculate p-values, special approximation is used. This method lets us calculate p-values with two decimal places in interval [0.0001, 1]. "Two decimal places" does not sound very impressive, but in practice the relative error of less than 1% is enough to make a decision. There is no approximation outside the [0.0001, 1] interval. Therefore, if the significance level outlies this interval, the test returns 0.0001. -- ALGLIB -- Copyright 08.09.2006 by Bochkanov Sergey *************************************************************************/ void wilcoxonsignedranktest(/* Real */ ae_vector* x, ae_int_t n, double e, double* bothtails, double* lefttail, double* righttail, ae_state *_state) { ae_frame _frame_block; ae_vector _x; ae_int_t i; ae_int_t j; ae_int_t k; ae_int_t t; double tmp; ae_int_t tmpi; ae_int_t ns; ae_vector r; ae_vector c; double w; double p; double mp; double s; double sigma; double mu; ae_frame_make(_state, &_frame_block); memset(&_x, 0, sizeof(_x)); memset(&r, 0, sizeof(r)); memset(&c, 0, sizeof(c)); ae_vector_init_copy(&_x, x, _state, ae_true); x = &_x; *bothtails = 0; *lefttail = 0; *righttail = 0; ae_vector_init(&r, 0, DT_REAL, _state, ae_true); ae_vector_init(&c, 0, DT_INT, _state, ae_true); /* * Prepare */ if( n<5 ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; ae_frame_leave(_state); return; } ns = 0; for(i=0; i<=n-1; i++) { if( ae_fp_eq(x->ptr.p_double[i],e) ) { continue; } x->ptr.p_double[ns] = x->ptr.p_double[i]; ns = ns+1; } if( ns<5 ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; ae_frame_leave(_state); return; } ae_vector_set_length(&r, ns-1+1, _state); ae_vector_set_length(&c, ns-1+1, _state); for(i=0; i<=ns-1; i++) { r.ptr.p_double[i] = ae_fabs(x->ptr.p_double[i]-e, _state); c.ptr.p_int[i] = i; } /* * sort {R, C} */ if( ns!=1 ) { i = 2; do { t = i; while(t!=1) { k = t/2; if( ae_fp_greater_eq(r.ptr.p_double[k-1],r.ptr.p_double[t-1]) ) { t = 1; } else { tmp = r.ptr.p_double[k-1]; r.ptr.p_double[k-1] = r.ptr.p_double[t-1]; r.ptr.p_double[t-1] = tmp; tmpi = c.ptr.p_int[k-1]; c.ptr.p_int[k-1] = c.ptr.p_int[t-1]; c.ptr.p_int[t-1] = tmpi; t = k; } } i = i+1; } while(i<=ns); i = ns-1; do { tmp = r.ptr.p_double[i]; r.ptr.p_double[i] = r.ptr.p_double[0]; r.ptr.p_double[0] = tmp; tmpi = c.ptr.p_int[i]; c.ptr.p_int[i] = c.ptr.p_int[0]; c.ptr.p_int[0] = tmpi; t = 1; while(t!=0) { k = 2*t; if( k>i ) { t = 0; } else { if( k=1); } /* * compute tied ranks */ i = 0; while(i<=ns-1) { j = i+1; while(j<=ns-1) { if( ae_fp_neq(r.ptr.p_double[j],r.ptr.p_double[i]) ) { break; } j = j+1; } for(k=i; k<=j-1; k++) { r.ptr.p_double[k] = 1+(double)(i+j-1)/(double)2; } i = j; } /* * Compute W+ */ w = (double)(0); for(i=0; i<=ns-1; i++) { if( ae_fp_greater(x->ptr.p_double[c.ptr.p_int[i]],e) ) { w = w+r.ptr.p_double[i]; } } /* * Result */ mu = rmul2((double)(ns), (double)(ns+1), _state)/4; sigma = ae_sqrt(mu*(2*ns+1)/6, _state); s = (w-mu)/sigma; if( ae_fp_less_eq(s,(double)(0)) ) { p = ae_exp(wsr_wsigma(-(w-mu)/sigma, ns, _state), _state); mp = 1-ae_exp(wsr_wsigma(-(w-1-mu)/sigma, ns, _state), _state); } else { mp = ae_exp(wsr_wsigma((w-mu)/sigma, ns, _state), _state); p = 1-ae_exp(wsr_wsigma((w+1-mu)/sigma, ns, _state), _state); } *lefttail = ae_maxreal(p, 1.0E-4, _state); *righttail = ae_maxreal(mp, 1.0E-4, _state); *bothtails = 2*ae_minreal(*lefttail, *righttail, _state); ae_frame_leave(_state); } /************************************************************************* Sequential Chebyshev interpolation. *************************************************************************/ static void wsr_wcheb(double x, double c, double* tj, double* tj1, double* r, ae_state *_state) { double t; *r = *r+c*(*tj); t = 2*x*(*tj1)-(*tj); *tj = *tj1; *tj1 = t; } /************************************************************************* Tail(S, 5) *************************************************************************/ static double wsr_w5(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-3.708099e+00*s+7.500000e+00, _state); if( w>=7 ) { r = -6.931e-01; } if( w==6 ) { r = -9.008e-01; } if( w==5 ) { r = -1.163e+00; } if( w==4 ) { r = -1.520e+00; } if( w==3 ) { r = -1.856e+00; } if( w==2 ) { r = -2.367e+00; } if( w==1 ) { r = -2.773e+00; } if( w<=0 ) { r = -3.466e+00; } result = r; return result; } /************************************************************************* Tail(S, 6) *************************************************************************/ static double wsr_w6(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-4.769696e+00*s+1.050000e+01, _state); if( w>=10 ) { r = -6.931e-01; } if( w==9 ) { r = -8.630e-01; } if( w==8 ) { r = -1.068e+00; } if( w==7 ) { r = -1.269e+00; } if( w==6 ) { r = -1.520e+00; } if( w==5 ) { r = -1.856e+00; } if( w==4 ) { r = -2.213e+00; } if( w==3 ) { r = -2.549e+00; } if( w==2 ) { r = -3.060e+00; } if( w==1 ) { r = -3.466e+00; } if( w<=0 ) { r = -4.159e+00; } result = r; return result; } /************************************************************************* Tail(S, 7) *************************************************************************/ static double wsr_w7(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-5.916080e+00*s+1.400000e+01, _state); if( w>=14 ) { r = -6.325e-01; } if( w==13 ) { r = -7.577e-01; } if( w==12 ) { r = -9.008e-01; } if( w==11 ) { r = -1.068e+00; } if( w==10 ) { r = -1.241e+00; } if( w==9 ) { r = -1.451e+00; } if( w==8 ) { r = -1.674e+00; } if( w==7 ) { r = -1.908e+00; } if( w==6 ) { r = -2.213e+00; } if( w==5 ) { r = -2.549e+00; } if( w==4 ) { r = -2.906e+00; } if( w==3 ) { r = -3.243e+00; } if( w==2 ) { r = -3.753e+00; } if( w==1 ) { r = -4.159e+00; } if( w<=0 ) { r = -4.852e+00; } result = r; return result; } /************************************************************************* Tail(S, 8) *************************************************************************/ static double wsr_w8(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-7.141428e+00*s+1.800000e+01, _state); if( w>=18 ) { r = -6.399e-01; } if( w==17 ) { r = -7.494e-01; } if( w==16 ) { r = -8.630e-01; } if( w==15 ) { r = -9.913e-01; } if( w==14 ) { r = -1.138e+00; } if( w==13 ) { r = -1.297e+00; } if( w==12 ) { r = -1.468e+00; } if( w==11 ) { r = -1.653e+00; } if( w==10 ) { r = -1.856e+00; } if( w==9 ) { r = -2.079e+00; } if( w==8 ) { r = -2.326e+00; } if( w==7 ) { r = -2.601e+00; } if( w==6 ) { r = -2.906e+00; } if( w==5 ) { r = -3.243e+00; } if( w==4 ) { r = -3.599e+00; } if( w==3 ) { r = -3.936e+00; } if( w==2 ) { r = -4.447e+00; } if( w==1 ) { r = -4.852e+00; } if( w<=0 ) { r = -5.545e+00; } result = r; return result; } /************************************************************************* Tail(S, 9) *************************************************************************/ static double wsr_w9(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-8.440972e+00*s+2.250000e+01, _state); if( w>=22 ) { r = -6.931e-01; } if( w==21 ) { r = -7.873e-01; } if( w==20 ) { r = -8.912e-01; } if( w==19 ) { r = -1.002e+00; } if( w==18 ) { r = -1.120e+00; } if( w==17 ) { r = -1.255e+00; } if( w==16 ) { r = -1.394e+00; } if( w==15 ) { r = -1.547e+00; } if( w==14 ) { r = -1.717e+00; } if( w==13 ) { r = -1.895e+00; } if( w==12 ) { r = -2.079e+00; } if( w==11 ) { r = -2.287e+00; } if( w==10 ) { r = -2.501e+00; } if( w==9 ) { r = -2.742e+00; } if( w==8 ) { r = -3.019e+00; } if( w==7 ) { r = -3.294e+00; } if( w==6 ) { r = -3.599e+00; } if( w==5 ) { r = -3.936e+00; } if( w==4 ) { r = -4.292e+00; } if( w==3 ) { r = -4.629e+00; } if( w==2 ) { r = -5.140e+00; } if( w==1 ) { r = -5.545e+00; } if( w<=0 ) { r = -6.238e+00; } result = r; return result; } /************************************************************************* Tail(S, 10) *************************************************************************/ static double wsr_w10(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-9.810708e+00*s+2.750000e+01, _state); if( w>=27 ) { r = -6.931e-01; } if( w==26 ) { r = -7.745e-01; } if( w==25 ) { r = -8.607e-01; } if( w==24 ) { r = -9.551e-01; } if( w==23 ) { r = -1.057e+00; } if( w==22 ) { r = -1.163e+00; } if( w==21 ) { r = -1.279e+00; } if( w==20 ) { r = -1.402e+00; } if( w==19 ) { r = -1.533e+00; } if( w==18 ) { r = -1.674e+00; } if( w==17 ) { r = -1.826e+00; } if( w==16 ) { r = -1.983e+00; } if( w==15 ) { r = -2.152e+00; } if( w==14 ) { r = -2.336e+00; } if( w==13 ) { r = -2.525e+00; } if( w==12 ) { r = -2.727e+00; } if( w==11 ) { r = -2.942e+00; } if( w==10 ) { r = -3.170e+00; } if( w==9 ) { r = -3.435e+00; } if( w==8 ) { r = -3.713e+00; } if( w==7 ) { r = -3.987e+00; } if( w==6 ) { r = -4.292e+00; } if( w==5 ) { r = -4.629e+00; } if( w==4 ) { r = -4.986e+00; } if( w==3 ) { r = -5.322e+00; } if( w==2 ) { r = -5.833e+00; } if( w==1 ) { r = -6.238e+00; } if( w<=0 ) { r = -6.931e+00; } result = r; return result; } /************************************************************************* Tail(S, 11) *************************************************************************/ static double wsr_w11(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-1.124722e+01*s+3.300000e+01, _state); if( w>=33 ) { r = -6.595e-01; } if( w==32 ) { r = -7.279e-01; } if( w==31 ) { r = -8.002e-01; } if( w==30 ) { r = -8.782e-01; } if( w==29 ) { r = -9.615e-01; } if( w==28 ) { r = -1.050e+00; } if( w==27 ) { r = -1.143e+00; } if( w==26 ) { r = -1.243e+00; } if( w==25 ) { r = -1.348e+00; } if( w==24 ) { r = -1.459e+00; } if( w==23 ) { r = -1.577e+00; } if( w==22 ) { r = -1.700e+00; } if( w==21 ) { r = -1.832e+00; } if( w==20 ) { r = -1.972e+00; } if( w==19 ) { r = -2.119e+00; } if( w==18 ) { r = -2.273e+00; } if( w==17 ) { r = -2.437e+00; } if( w==16 ) { r = -2.607e+00; } if( w==15 ) { r = -2.788e+00; } if( w==14 ) { r = -2.980e+00; } if( w==13 ) { r = -3.182e+00; } if( w==12 ) { r = -3.391e+00; } if( w==11 ) { r = -3.617e+00; } if( w==10 ) { r = -3.863e+00; } if( w==9 ) { r = -4.128e+00; } if( w==8 ) { r = -4.406e+00; } if( w==7 ) { r = -4.680e+00; } if( w==6 ) { r = -4.986e+00; } if( w==5 ) { r = -5.322e+00; } if( w==4 ) { r = -5.679e+00; } if( w==3 ) { r = -6.015e+00; } if( w==2 ) { r = -6.526e+00; } if( w==1 ) { r = -6.931e+00; } if( w<=0 ) { r = -7.625e+00; } result = r; return result; } /************************************************************************* Tail(S, 12) *************************************************************************/ static double wsr_w12(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-1.274755e+01*s+3.900000e+01, _state); if( w>=39 ) { r = -6.633e-01; } if( w==38 ) { r = -7.239e-01; } if( w==37 ) { r = -7.878e-01; } if( w==36 ) { r = -8.556e-01; } if( w==35 ) { r = -9.276e-01; } if( w==34 ) { r = -1.003e+00; } if( w==33 ) { r = -1.083e+00; } if( w==32 ) { r = -1.168e+00; } if( w==31 ) { r = -1.256e+00; } if( w==30 ) { r = -1.350e+00; } if( w==29 ) { r = -1.449e+00; } if( w==28 ) { r = -1.552e+00; } if( w==27 ) { r = -1.660e+00; } if( w==26 ) { r = -1.774e+00; } if( w==25 ) { r = -1.893e+00; } if( w==24 ) { r = -2.017e+00; } if( w==23 ) { r = -2.148e+00; } if( w==22 ) { r = -2.285e+00; } if( w==21 ) { r = -2.429e+00; } if( w==20 ) { r = -2.581e+00; } if( w==19 ) { r = -2.738e+00; } if( w==18 ) { r = -2.902e+00; } if( w==17 ) { r = -3.076e+00; } if( w==16 ) { r = -3.255e+00; } if( w==15 ) { r = -3.443e+00; } if( w==14 ) { r = -3.645e+00; } if( w==13 ) { r = -3.852e+00; } if( w==12 ) { r = -4.069e+00; } if( w==11 ) { r = -4.310e+00; } if( w==10 ) { r = -4.557e+00; } if( w==9 ) { r = -4.821e+00; } if( w==8 ) { r = -5.099e+00; } if( w==7 ) { r = -5.373e+00; } if( w==6 ) { r = -5.679e+00; } if( w==5 ) { r = -6.015e+00; } if( w==4 ) { r = -6.372e+00; } if( w==3 ) { r = -6.708e+00; } if( w==2 ) { r = -7.219e+00; } if( w==1 ) { r = -7.625e+00; } if( w<=0 ) { r = -8.318e+00; } result = r; return result; } /************************************************************************* Tail(S, 13) *************************************************************************/ static double wsr_w13(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-1.430909e+01*s+4.550000e+01, _state); if( w>=45 ) { r = -6.931e-01; } if( w==44 ) { r = -7.486e-01; } if( w==43 ) { r = -8.068e-01; } if( w==42 ) { r = -8.683e-01; } if( w==41 ) { r = -9.328e-01; } if( w==40 ) { r = -1.001e+00; } if( w==39 ) { r = -1.072e+00; } if( w==38 ) { r = -1.146e+00; } if( w==37 ) { r = -1.224e+00; } if( w==36 ) { r = -1.306e+00; } if( w==35 ) { r = -1.392e+00; } if( w==34 ) { r = -1.481e+00; } if( w==33 ) { r = -1.574e+00; } if( w==32 ) { r = -1.672e+00; } if( w==31 ) { r = -1.773e+00; } if( w==30 ) { r = -1.879e+00; } if( w==29 ) { r = -1.990e+00; } if( w==28 ) { r = -2.104e+00; } if( w==27 ) { r = -2.224e+00; } if( w==26 ) { r = -2.349e+00; } if( w==25 ) { r = -2.479e+00; } if( w==24 ) { r = -2.614e+00; } if( w==23 ) { r = -2.755e+00; } if( w==22 ) { r = -2.902e+00; } if( w==21 ) { r = -3.055e+00; } if( w==20 ) { r = -3.215e+00; } if( w==19 ) { r = -3.380e+00; } if( w==18 ) { r = -3.551e+00; } if( w==17 ) { r = -3.733e+00; } if( w==16 ) { r = -3.917e+00; } if( w==15 ) { r = -4.113e+00; } if( w==14 ) { r = -4.320e+00; } if( w==13 ) { r = -4.534e+00; } if( w==12 ) { r = -4.762e+00; } if( w==11 ) { r = -5.004e+00; } if( w==10 ) { r = -5.250e+00; } if( w==9 ) { r = -5.514e+00; } if( w==8 ) { r = -5.792e+00; } if( w==7 ) { r = -6.066e+00; } if( w==6 ) { r = -6.372e+00; } if( w==5 ) { r = -6.708e+00; } if( w==4 ) { r = -7.065e+00; } if( w==3 ) { r = -7.401e+00; } if( w==2 ) { r = -7.912e+00; } if( w==1 ) { r = -8.318e+00; } if( w<=0 ) { r = -9.011e+00; } result = r; return result; } /************************************************************************* Tail(S, 14) *************************************************************************/ static double wsr_w14(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-1.592953e+01*s+5.250000e+01, _state); if( w>=52 ) { r = -6.931e-01; } if( w==51 ) { r = -7.428e-01; } if( w==50 ) { r = -7.950e-01; } if( w==49 ) { r = -8.495e-01; } if( w==48 ) { r = -9.067e-01; } if( w==47 ) { r = -9.664e-01; } if( w==46 ) { r = -1.029e+00; } if( w==45 ) { r = -1.094e+00; } if( w==44 ) { r = -1.162e+00; } if( w==43 ) { r = -1.233e+00; } if( w==42 ) { r = -1.306e+00; } if( w==41 ) { r = -1.383e+00; } if( w==40 ) { r = -1.463e+00; } if( w==39 ) { r = -1.546e+00; } if( w==38 ) { r = -1.632e+00; } if( w==37 ) { r = -1.722e+00; } if( w==36 ) { r = -1.815e+00; } if( w==35 ) { r = -1.911e+00; } if( w==34 ) { r = -2.011e+00; } if( w==33 ) { r = -2.115e+00; } if( w==32 ) { r = -2.223e+00; } if( w==31 ) { r = -2.334e+00; } if( w==30 ) { r = -2.450e+00; } if( w==29 ) { r = -2.570e+00; } if( w==28 ) { r = -2.694e+00; } if( w==27 ) { r = -2.823e+00; } if( w==26 ) { r = -2.956e+00; } if( w==25 ) { r = -3.095e+00; } if( w==24 ) { r = -3.238e+00; } if( w==23 ) { r = -3.387e+00; } if( w==22 ) { r = -3.541e+00; } if( w==21 ) { r = -3.700e+00; } if( w==20 ) { r = -3.866e+00; } if( w==19 ) { r = -4.038e+00; } if( w==18 ) { r = -4.215e+00; } if( w==17 ) { r = -4.401e+00; } if( w==16 ) { r = -4.592e+00; } if( w==15 ) { r = -4.791e+00; } if( w==14 ) { r = -5.004e+00; } if( w==13 ) { r = -5.227e+00; } if( w==12 ) { r = -5.456e+00; } if( w==11 ) { r = -5.697e+00; } if( w==10 ) { r = -5.943e+00; } if( w==9 ) { r = -6.208e+00; } if( w==8 ) { r = -6.485e+00; } if( w==7 ) { r = -6.760e+00; } if( w==6 ) { r = -7.065e+00; } if( w==5 ) { r = -7.401e+00; } if( w==4 ) { r = -7.758e+00; } if( w==3 ) { r = -8.095e+00; } if( w==2 ) { r = -8.605e+00; } if( w==1 ) { r = -9.011e+00; } if( w<=0 ) { r = -9.704e+00; } result = r; return result; } /************************************************************************* Tail(S, 15) *************************************************************************/ static double wsr_w15(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-1.760682e+01*s+6.000000e+01, _state); if( w>=60 ) { r = -6.714e-01; } if( w==59 ) { r = -7.154e-01; } if( w==58 ) { r = -7.613e-01; } if( w==57 ) { r = -8.093e-01; } if( w==56 ) { r = -8.593e-01; } if( w==55 ) { r = -9.114e-01; } if( w==54 ) { r = -9.656e-01; } if( w==53 ) { r = -1.022e+00; } if( w==52 ) { r = -1.081e+00; } if( w==51 ) { r = -1.142e+00; } if( w==50 ) { r = -1.205e+00; } if( w==49 ) { r = -1.270e+00; } if( w==48 ) { r = -1.339e+00; } if( w==47 ) { r = -1.409e+00; } if( w==46 ) { r = -1.482e+00; } if( w==45 ) { r = -1.558e+00; } if( w==44 ) { r = -1.636e+00; } if( w==43 ) { r = -1.717e+00; } if( w==42 ) { r = -1.801e+00; } if( w==41 ) { r = -1.888e+00; } if( w==40 ) { r = -1.977e+00; } if( w==39 ) { r = -2.070e+00; } if( w==38 ) { r = -2.166e+00; } if( w==37 ) { r = -2.265e+00; } if( w==36 ) { r = -2.366e+00; } if( w==35 ) { r = -2.472e+00; } if( w==34 ) { r = -2.581e+00; } if( w==33 ) { r = -2.693e+00; } if( w==32 ) { r = -2.809e+00; } if( w==31 ) { r = -2.928e+00; } if( w==30 ) { r = -3.051e+00; } if( w==29 ) { r = -3.179e+00; } if( w==28 ) { r = -3.310e+00; } if( w==27 ) { r = -3.446e+00; } if( w==26 ) { r = -3.587e+00; } if( w==25 ) { r = -3.732e+00; } if( w==24 ) { r = -3.881e+00; } if( w==23 ) { r = -4.036e+00; } if( w==22 ) { r = -4.195e+00; } if( w==21 ) { r = -4.359e+00; } if( w==20 ) { r = -4.531e+00; } if( w==19 ) { r = -4.707e+00; } if( w==18 ) { r = -4.888e+00; } if( w==17 ) { r = -5.079e+00; } if( w==16 ) { r = -5.273e+00; } if( w==15 ) { r = -5.477e+00; } if( w==14 ) { r = -5.697e+00; } if( w==13 ) { r = -5.920e+00; } if( w==12 ) { r = -6.149e+00; } if( w==11 ) { r = -6.390e+00; } if( w==10 ) { r = -6.636e+00; } if( w==9 ) { r = -6.901e+00; } if( w==8 ) { r = -7.178e+00; } if( w==7 ) { r = -7.453e+00; } if( w==6 ) { r = -7.758e+00; } if( w==5 ) { r = -8.095e+00; } if( w==4 ) { r = -8.451e+00; } if( w==3 ) { r = -8.788e+00; } if( w==2 ) { r = -9.299e+00; } if( w==1 ) { r = -9.704e+00; } if( w<=0 ) { r = -1.040e+01; } result = r; return result; } /************************************************************************* Tail(S, 16) *************************************************************************/ static double wsr_w16(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-1.933908e+01*s+6.800000e+01, _state); if( w>=68 ) { r = -6.733e-01; } if( w==67 ) { r = -7.134e-01; } if( w==66 ) { r = -7.551e-01; } if( w==65 ) { r = -7.986e-01; } if( w==64 ) { r = -8.437e-01; } if( w==63 ) { r = -8.905e-01; } if( w==62 ) { r = -9.391e-01; } if( w==61 ) { r = -9.895e-01; } if( w==60 ) { r = -1.042e+00; } if( w==59 ) { r = -1.096e+00; } if( w==58 ) { r = -1.152e+00; } if( w==57 ) { r = -1.210e+00; } if( w==56 ) { r = -1.270e+00; } if( w==55 ) { r = -1.331e+00; } if( w==54 ) { r = -1.395e+00; } if( w==53 ) { r = -1.462e+00; } if( w==52 ) { r = -1.530e+00; } if( w==51 ) { r = -1.600e+00; } if( w==50 ) { r = -1.673e+00; } if( w==49 ) { r = -1.748e+00; } if( w==48 ) { r = -1.825e+00; } if( w==47 ) { r = -1.904e+00; } if( w==46 ) { r = -1.986e+00; } if( w==45 ) { r = -2.071e+00; } if( w==44 ) { r = -2.158e+00; } if( w==43 ) { r = -2.247e+00; } if( w==42 ) { r = -2.339e+00; } if( w==41 ) { r = -2.434e+00; } if( w==40 ) { r = -2.532e+00; } if( w==39 ) { r = -2.632e+00; } if( w==38 ) { r = -2.735e+00; } if( w==37 ) { r = -2.842e+00; } if( w==36 ) { r = -2.951e+00; } if( w==35 ) { r = -3.064e+00; } if( w==34 ) { r = -3.179e+00; } if( w==33 ) { r = -3.298e+00; } if( w==32 ) { r = -3.420e+00; } if( w==31 ) { r = -3.546e+00; } if( w==30 ) { r = -3.676e+00; } if( w==29 ) { r = -3.810e+00; } if( w==28 ) { r = -3.947e+00; } if( w==27 ) { r = -4.088e+00; } if( w==26 ) { r = -4.234e+00; } if( w==25 ) { r = -4.383e+00; } if( w==24 ) { r = -4.538e+00; } if( w==23 ) { r = -4.697e+00; } if( w==22 ) { r = -4.860e+00; } if( w==21 ) { r = -5.029e+00; } if( w==20 ) { r = -5.204e+00; } if( w==19 ) { r = -5.383e+00; } if( w==18 ) { r = -5.569e+00; } if( w==17 ) { r = -5.762e+00; } if( w==16 ) { r = -5.960e+00; } if( w==15 ) { r = -6.170e+00; } if( w==14 ) { r = -6.390e+00; } if( w==13 ) { r = -6.613e+00; } if( w==12 ) { r = -6.842e+00; } if( w==11 ) { r = -7.083e+00; } if( w==10 ) { r = -7.329e+00; } if( w==9 ) { r = -7.594e+00; } if( w==8 ) { r = -7.871e+00; } if( w==7 ) { r = -8.146e+00; } if( w==6 ) { r = -8.451e+00; } if( w==5 ) { r = -8.788e+00; } if( w==4 ) { r = -9.144e+00; } if( w==3 ) { r = -9.481e+00; } if( w==2 ) { r = -9.992e+00; } if( w==1 ) { r = -1.040e+01; } if( w<=0 ) { r = -1.109e+01; } result = r; return result; } /************************************************************************* Tail(S, 17) *************************************************************************/ static double wsr_w17(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-2.112463e+01*s+7.650000e+01, _state); if( w>=76 ) { r = -6.931e-01; } if( w==75 ) { r = -7.306e-01; } if( w==74 ) { r = -7.695e-01; } if( w==73 ) { r = -8.097e-01; } if( w==72 ) { r = -8.514e-01; } if( w==71 ) { r = -8.946e-01; } if( w==70 ) { r = -9.392e-01; } if( w==69 ) { r = -9.853e-01; } if( w==68 ) { r = -1.033e+00; } if( w==67 ) { r = -1.082e+00; } if( w==66 ) { r = -1.133e+00; } if( w==65 ) { r = -1.185e+00; } if( w==64 ) { r = -1.240e+00; } if( w==63 ) { r = -1.295e+00; } if( w==62 ) { r = -1.353e+00; } if( w==61 ) { r = -1.412e+00; } if( w==60 ) { r = -1.473e+00; } if( w==59 ) { r = -1.536e+00; } if( w==58 ) { r = -1.600e+00; } if( w==57 ) { r = -1.666e+00; } if( w==56 ) { r = -1.735e+00; } if( w==55 ) { r = -1.805e+00; } if( w==54 ) { r = -1.877e+00; } if( w==53 ) { r = -1.951e+00; } if( w==52 ) { r = -2.028e+00; } if( w==51 ) { r = -2.106e+00; } if( w==50 ) { r = -2.186e+00; } if( w==49 ) { r = -2.269e+00; } if( w==48 ) { r = -2.353e+00; } if( w==47 ) { r = -2.440e+00; } if( w==46 ) { r = -2.530e+00; } if( w==45 ) { r = -2.621e+00; } if( w==44 ) { r = -2.715e+00; } if( w==43 ) { r = -2.812e+00; } if( w==42 ) { r = -2.911e+00; } if( w==41 ) { r = -3.012e+00; } if( w==40 ) { r = -3.116e+00; } if( w==39 ) { r = -3.223e+00; } if( w==38 ) { r = -3.332e+00; } if( w==37 ) { r = -3.445e+00; } if( w==36 ) { r = -3.560e+00; } if( w==35 ) { r = -3.678e+00; } if( w==34 ) { r = -3.799e+00; } if( w==33 ) { r = -3.924e+00; } if( w==32 ) { r = -4.052e+00; } if( w==31 ) { r = -4.183e+00; } if( w==30 ) { r = -4.317e+00; } if( w==29 ) { r = -4.456e+00; } if( w==28 ) { r = -4.597e+00; } if( w==27 ) { r = -4.743e+00; } if( w==26 ) { r = -4.893e+00; } if( w==25 ) { r = -5.047e+00; } if( w==24 ) { r = -5.204e+00; } if( w==23 ) { r = -5.367e+00; } if( w==22 ) { r = -5.534e+00; } if( w==21 ) { r = -5.706e+00; } if( w==20 ) { r = -5.884e+00; } if( w==19 ) { r = -6.066e+00; } if( w==18 ) { r = -6.254e+00; } if( w==17 ) { r = -6.451e+00; } if( w==16 ) { r = -6.654e+00; } if( w==15 ) { r = -6.864e+00; } if( w==14 ) { r = -7.083e+00; } if( w==13 ) { r = -7.306e+00; } if( w==12 ) { r = -7.535e+00; } if( w==11 ) { r = -7.776e+00; } if( w==10 ) { r = -8.022e+00; } if( w==9 ) { r = -8.287e+00; } if( w==8 ) { r = -8.565e+00; } if( w==7 ) { r = -8.839e+00; } if( w==6 ) { r = -9.144e+00; } if( w==5 ) { r = -9.481e+00; } if( w==4 ) { r = -9.838e+00; } if( w==3 ) { r = -1.017e+01; } if( w==2 ) { r = -1.068e+01; } if( w==1 ) { r = -1.109e+01; } if( w<=0 ) { r = -1.178e+01; } result = r; return result; } /************************************************************************* Tail(S, 18) *************************************************************************/ static double wsr_w18(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-2.296193e+01*s+8.550000e+01, _state); if( w>=85 ) { r = -6.931e-01; } if( w==84 ) { r = -7.276e-01; } if( w==83 ) { r = -7.633e-01; } if( w==82 ) { r = -8.001e-01; } if( w==81 ) { r = -8.381e-01; } if( w==80 ) { r = -8.774e-01; } if( w==79 ) { r = -9.179e-01; } if( w==78 ) { r = -9.597e-01; } if( w==77 ) { r = -1.003e+00; } if( w==76 ) { r = -1.047e+00; } if( w==75 ) { r = -1.093e+00; } if( w==74 ) { r = -1.140e+00; } if( w==73 ) { r = -1.188e+00; } if( w==72 ) { r = -1.238e+00; } if( w==71 ) { r = -1.289e+00; } if( w==70 ) { r = -1.342e+00; } if( w==69 ) { r = -1.396e+00; } if( w==68 ) { r = -1.452e+00; } if( w==67 ) { r = -1.509e+00; } if( w==66 ) { r = -1.568e+00; } if( w==65 ) { r = -1.628e+00; } if( w==64 ) { r = -1.690e+00; } if( w==63 ) { r = -1.753e+00; } if( w==62 ) { r = -1.818e+00; } if( w==61 ) { r = -1.885e+00; } if( w==60 ) { r = -1.953e+00; } if( w==59 ) { r = -2.023e+00; } if( w==58 ) { r = -2.095e+00; } if( w==57 ) { r = -2.168e+00; } if( w==56 ) { r = -2.244e+00; } if( w==55 ) { r = -2.321e+00; } if( w==54 ) { r = -2.400e+00; } if( w==53 ) { r = -2.481e+00; } if( w==52 ) { r = -2.564e+00; } if( w==51 ) { r = -2.648e+00; } if( w==50 ) { r = -2.735e+00; } if( w==49 ) { r = -2.824e+00; } if( w==48 ) { r = -2.915e+00; } if( w==47 ) { r = -3.008e+00; } if( w==46 ) { r = -3.104e+00; } if( w==45 ) { r = -3.201e+00; } if( w==44 ) { r = -3.301e+00; } if( w==43 ) { r = -3.403e+00; } if( w==42 ) { r = -3.508e+00; } if( w==41 ) { r = -3.615e+00; } if( w==40 ) { r = -3.724e+00; } if( w==39 ) { r = -3.836e+00; } if( w==38 ) { r = -3.950e+00; } if( w==37 ) { r = -4.068e+00; } if( w==36 ) { r = -4.188e+00; } if( w==35 ) { r = -4.311e+00; } if( w==34 ) { r = -4.437e+00; } if( w==33 ) { r = -4.565e+00; } if( w==32 ) { r = -4.698e+00; } if( w==31 ) { r = -4.833e+00; } if( w==30 ) { r = -4.971e+00; } if( w==29 ) { r = -5.113e+00; } if( w==28 ) { r = -5.258e+00; } if( w==27 ) { r = -5.408e+00; } if( w==26 ) { r = -5.561e+00; } if( w==25 ) { r = -5.717e+00; } if( w==24 ) { r = -5.878e+00; } if( w==23 ) { r = -6.044e+00; } if( w==22 ) { r = -6.213e+00; } if( w==21 ) { r = -6.388e+00; } if( w==20 ) { r = -6.569e+00; } if( w==19 ) { r = -6.753e+00; } if( w==18 ) { r = -6.943e+00; } if( w==17 ) { r = -7.144e+00; } if( w==16 ) { r = -7.347e+00; } if( w==15 ) { r = -7.557e+00; } if( w==14 ) { r = -7.776e+00; } if( w==13 ) { r = -7.999e+00; } if( w==12 ) { r = -8.228e+00; } if( w==11 ) { r = -8.469e+00; } if( w==10 ) { r = -8.715e+00; } if( w==9 ) { r = -8.980e+00; } if( w==8 ) { r = -9.258e+00; } if( w==7 ) { r = -9.532e+00; } if( w==6 ) { r = -9.838e+00; } if( w==5 ) { r = -1.017e+01; } if( w==4 ) { r = -1.053e+01; } if( w==3 ) { r = -1.087e+01; } if( w==2 ) { r = -1.138e+01; } if( w==1 ) { r = -1.178e+01; } if( w<=0 ) { r = -1.248e+01; } result = r; return result; } /************************************************************************* Tail(S, 19) *************************************************************************/ static double wsr_w19(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-2.484955e+01*s+9.500000e+01, _state); if( w>=95 ) { r = -6.776e-01; } if( w==94 ) { r = -7.089e-01; } if( w==93 ) { r = -7.413e-01; } if( w==92 ) { r = -7.747e-01; } if( w==91 ) { r = -8.090e-01; } if( w==90 ) { r = -8.445e-01; } if( w==89 ) { r = -8.809e-01; } if( w==88 ) { r = -9.185e-01; } if( w==87 ) { r = -9.571e-01; } if( w==86 ) { r = -9.968e-01; } if( w==85 ) { r = -1.038e+00; } if( w==84 ) { r = -1.080e+00; } if( w==83 ) { r = -1.123e+00; } if( w==82 ) { r = -1.167e+00; } if( w==81 ) { r = -1.213e+00; } if( w==80 ) { r = -1.259e+00; } if( w==79 ) { r = -1.307e+00; } if( w==78 ) { r = -1.356e+00; } if( w==77 ) { r = -1.407e+00; } if( w==76 ) { r = -1.458e+00; } if( w==75 ) { r = -1.511e+00; } if( w==74 ) { r = -1.565e+00; } if( w==73 ) { r = -1.621e+00; } if( w==72 ) { r = -1.678e+00; } if( w==71 ) { r = -1.736e+00; } if( w==70 ) { r = -1.796e+00; } if( w==69 ) { r = -1.857e+00; } if( w==68 ) { r = -1.919e+00; } if( w==67 ) { r = -1.983e+00; } if( w==66 ) { r = -2.048e+00; } if( w==65 ) { r = -2.115e+00; } if( w==64 ) { r = -2.183e+00; } if( w==63 ) { r = -2.253e+00; } if( w==62 ) { r = -2.325e+00; } if( w==61 ) { r = -2.398e+00; } if( w==60 ) { r = -2.472e+00; } if( w==59 ) { r = -2.548e+00; } if( w==58 ) { r = -2.626e+00; } if( w==57 ) { r = -2.706e+00; } if( w==56 ) { r = -2.787e+00; } if( w==55 ) { r = -2.870e+00; } if( w==54 ) { r = -2.955e+00; } if( w==53 ) { r = -3.042e+00; } if( w==52 ) { r = -3.130e+00; } if( w==51 ) { r = -3.220e+00; } if( w==50 ) { r = -3.313e+00; } if( w==49 ) { r = -3.407e+00; } if( w==48 ) { r = -3.503e+00; } if( w==47 ) { r = -3.601e+00; } if( w==46 ) { r = -3.702e+00; } if( w==45 ) { r = -3.804e+00; } if( w==44 ) { r = -3.909e+00; } if( w==43 ) { r = -4.015e+00; } if( w==42 ) { r = -4.125e+00; } if( w==41 ) { r = -4.236e+00; } if( w==40 ) { r = -4.350e+00; } if( w==39 ) { r = -4.466e+00; } if( w==38 ) { r = -4.585e+00; } if( w==37 ) { r = -4.706e+00; } if( w==36 ) { r = -4.830e+00; } if( w==35 ) { r = -4.957e+00; } if( w==34 ) { r = -5.086e+00; } if( w==33 ) { r = -5.219e+00; } if( w==32 ) { r = -5.355e+00; } if( w==31 ) { r = -5.493e+00; } if( w==30 ) { r = -5.634e+00; } if( w==29 ) { r = -5.780e+00; } if( w==28 ) { r = -5.928e+00; } if( w==27 ) { r = -6.080e+00; } if( w==26 ) { r = -6.235e+00; } if( w==25 ) { r = -6.394e+00; } if( w==24 ) { r = -6.558e+00; } if( w==23 ) { r = -6.726e+00; } if( w==22 ) { r = -6.897e+00; } if( w==21 ) { r = -7.074e+00; } if( w==20 ) { r = -7.256e+00; } if( w==19 ) { r = -7.443e+00; } if( w==18 ) { r = -7.636e+00; } if( w==17 ) { r = -7.837e+00; } if( w==16 ) { r = -8.040e+00; } if( w==15 ) { r = -8.250e+00; } if( w==14 ) { r = -8.469e+00; } if( w==13 ) { r = -8.692e+00; } if( w==12 ) { r = -8.921e+00; } if( w==11 ) { r = -9.162e+00; } if( w==10 ) { r = -9.409e+00; } if( w==9 ) { r = -9.673e+00; } if( w==8 ) { r = -9.951e+00; } if( w==7 ) { r = -1.023e+01; } if( w==6 ) { r = -1.053e+01; } if( w==5 ) { r = -1.087e+01; } if( w==4 ) { r = -1.122e+01; } if( w==3 ) { r = -1.156e+01; } if( w==2 ) { r = -1.207e+01; } if( w==1 ) { r = -1.248e+01; } if( w<=0 ) { r = -1.317e+01; } result = r; return result; } /************************************************************************* Tail(S, 20) *************************************************************************/ static double wsr_w20(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-2.678619e+01*s+1.050000e+02, _state); if( w>=105 ) { r = -6.787e-01; } if( w==104 ) { r = -7.078e-01; } if( w==103 ) { r = -7.378e-01; } if( w==102 ) { r = -7.686e-01; } if( w==101 ) { r = -8.004e-01; } if( w==100 ) { r = -8.330e-01; } if( w==99 ) { r = -8.665e-01; } if( w==98 ) { r = -9.010e-01; } if( w==97 ) { r = -9.363e-01; } if( w==96 ) { r = -9.726e-01; } if( w==95 ) { r = -1.010e+00; } if( w==94 ) { r = -1.048e+00; } if( w==93 ) { r = -1.087e+00; } if( w==92 ) { r = -1.128e+00; } if( w==91 ) { r = -1.169e+00; } if( w==90 ) { r = -1.211e+00; } if( w==89 ) { r = -1.254e+00; } if( w==88 ) { r = -1.299e+00; } if( w==87 ) { r = -1.344e+00; } if( w==86 ) { r = -1.390e+00; } if( w==85 ) { r = -1.438e+00; } if( w==84 ) { r = -1.486e+00; } if( w==83 ) { r = -1.536e+00; } if( w==82 ) { r = -1.587e+00; } if( w==81 ) { r = -1.639e+00; } if( w==80 ) { r = -1.692e+00; } if( w==79 ) { r = -1.746e+00; } if( w==78 ) { r = -1.802e+00; } if( w==77 ) { r = -1.859e+00; } if( w==76 ) { r = -1.916e+00; } if( w==75 ) { r = -1.976e+00; } if( w==74 ) { r = -2.036e+00; } if( w==73 ) { r = -2.098e+00; } if( w==72 ) { r = -2.161e+00; } if( w==71 ) { r = -2.225e+00; } if( w==70 ) { r = -2.290e+00; } if( w==69 ) { r = -2.357e+00; } if( w==68 ) { r = -2.426e+00; } if( w==67 ) { r = -2.495e+00; } if( w==66 ) { r = -2.566e+00; } if( w==65 ) { r = -2.639e+00; } if( w==64 ) { r = -2.713e+00; } if( w==63 ) { r = -2.788e+00; } if( w==62 ) { r = -2.865e+00; } if( w==61 ) { r = -2.943e+00; } if( w==60 ) { r = -3.023e+00; } if( w==59 ) { r = -3.104e+00; } if( w==58 ) { r = -3.187e+00; } if( w==57 ) { r = -3.272e+00; } if( w==56 ) { r = -3.358e+00; } if( w==55 ) { r = -3.446e+00; } if( w==54 ) { r = -3.536e+00; } if( w==53 ) { r = -3.627e+00; } if( w==52 ) { r = -3.721e+00; } if( w==51 ) { r = -3.815e+00; } if( w==50 ) { r = -3.912e+00; } if( w==49 ) { r = -4.011e+00; } if( w==48 ) { r = -4.111e+00; } if( w==47 ) { r = -4.214e+00; } if( w==46 ) { r = -4.318e+00; } if( w==45 ) { r = -4.425e+00; } if( w==44 ) { r = -4.534e+00; } if( w==43 ) { r = -4.644e+00; } if( w==42 ) { r = -4.757e+00; } if( w==41 ) { r = -4.872e+00; } if( w==40 ) { r = -4.990e+00; } if( w==39 ) { r = -5.109e+00; } if( w==38 ) { r = -5.232e+00; } if( w==37 ) { r = -5.356e+00; } if( w==36 ) { r = -5.484e+00; } if( w==35 ) { r = -5.614e+00; } if( w==34 ) { r = -5.746e+00; } if( w==33 ) { r = -5.882e+00; } if( w==32 ) { r = -6.020e+00; } if( w==31 ) { r = -6.161e+00; } if( w==30 ) { r = -6.305e+00; } if( w==29 ) { r = -6.453e+00; } if( w==28 ) { r = -6.603e+00; } if( w==27 ) { r = -6.757e+00; } if( w==26 ) { r = -6.915e+00; } if( w==25 ) { r = -7.076e+00; } if( w==24 ) { r = -7.242e+00; } if( w==23 ) { r = -7.411e+00; } if( w==22 ) { r = -7.584e+00; } if( w==21 ) { r = -7.763e+00; } if( w==20 ) { r = -7.947e+00; } if( w==19 ) { r = -8.136e+00; } if( w==18 ) { r = -8.330e+00; } if( w==17 ) { r = -8.530e+00; } if( w==16 ) { r = -8.733e+00; } if( w==15 ) { r = -8.943e+00; } if( w==14 ) { r = -9.162e+00; } if( w==13 ) { r = -9.386e+00; } if( w==12 ) { r = -9.614e+00; } if( w==11 ) { r = -9.856e+00; } if( w==10 ) { r = -1.010e+01; } if( w==9 ) { r = -1.037e+01; } if( w==8 ) { r = -1.064e+01; } if( w==7 ) { r = -1.092e+01; } if( w==6 ) { r = -1.122e+01; } if( w==5 ) { r = -1.156e+01; } if( w==4 ) { r = -1.192e+01; } if( w==3 ) { r = -1.225e+01; } if( w==2 ) { r = -1.276e+01; } if( w==1 ) { r = -1.317e+01; } if( w<=0 ) { r = -1.386e+01; } result = r; return result; } /************************************************************************* Tail(S, 21) *************************************************************************/ static double wsr_w21(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-2.877064e+01*s+1.155000e+02, _state); if( w>=115 ) { r = -6.931e-01; } if( w==114 ) { r = -7.207e-01; } if( w==113 ) { r = -7.489e-01; } if( w==112 ) { r = -7.779e-01; } if( w==111 ) { r = -8.077e-01; } if( w==110 ) { r = -8.383e-01; } if( w==109 ) { r = -8.697e-01; } if( w==108 ) { r = -9.018e-01; } if( w==107 ) { r = -9.348e-01; } if( w==106 ) { r = -9.685e-01; } if( w==105 ) { r = -1.003e+00; } if( w==104 ) { r = -1.039e+00; } if( w==103 ) { r = -1.075e+00; } if( w==102 ) { r = -1.112e+00; } if( w==101 ) { r = -1.150e+00; } if( w==100 ) { r = -1.189e+00; } if( w==99 ) { r = -1.229e+00; } if( w==98 ) { r = -1.269e+00; } if( w==97 ) { r = -1.311e+00; } if( w==96 ) { r = -1.353e+00; } if( w==95 ) { r = -1.397e+00; } if( w==94 ) { r = -1.441e+00; } if( w==93 ) { r = -1.486e+00; } if( w==92 ) { r = -1.533e+00; } if( w==91 ) { r = -1.580e+00; } if( w==90 ) { r = -1.628e+00; } if( w==89 ) { r = -1.677e+00; } if( w==88 ) { r = -1.728e+00; } if( w==87 ) { r = -1.779e+00; } if( w==86 ) { r = -1.831e+00; } if( w==85 ) { r = -1.884e+00; } if( w==84 ) { r = -1.939e+00; } if( w==83 ) { r = -1.994e+00; } if( w==82 ) { r = -2.051e+00; } if( w==81 ) { r = -2.108e+00; } if( w==80 ) { r = -2.167e+00; } if( w==79 ) { r = -2.227e+00; } if( w==78 ) { r = -2.288e+00; } if( w==77 ) { r = -2.350e+00; } if( w==76 ) { r = -2.414e+00; } if( w==75 ) { r = -2.478e+00; } if( w==74 ) { r = -2.544e+00; } if( w==73 ) { r = -2.611e+00; } if( w==72 ) { r = -2.679e+00; } if( w==71 ) { r = -2.748e+00; } if( w==70 ) { r = -2.819e+00; } if( w==69 ) { r = -2.891e+00; } if( w==68 ) { r = -2.964e+00; } if( w==67 ) { r = -3.039e+00; } if( w==66 ) { r = -3.115e+00; } if( w==65 ) { r = -3.192e+00; } if( w==64 ) { r = -3.270e+00; } if( w==63 ) { r = -3.350e+00; } if( w==62 ) { r = -3.432e+00; } if( w==61 ) { r = -3.515e+00; } if( w==60 ) { r = -3.599e+00; } if( w==59 ) { r = -3.685e+00; } if( w==58 ) { r = -3.772e+00; } if( w==57 ) { r = -3.861e+00; } if( w==56 ) { r = -3.952e+00; } if( w==55 ) { r = -4.044e+00; } if( w==54 ) { r = -4.138e+00; } if( w==53 ) { r = -4.233e+00; } if( w==52 ) { r = -4.330e+00; } if( w==51 ) { r = -4.429e+00; } if( w==50 ) { r = -4.530e+00; } if( w==49 ) { r = -4.632e+00; } if( w==48 ) { r = -4.736e+00; } if( w==47 ) { r = -4.842e+00; } if( w==46 ) { r = -4.950e+00; } if( w==45 ) { r = -5.060e+00; } if( w==44 ) { r = -5.172e+00; } if( w==43 ) { r = -5.286e+00; } if( w==42 ) { r = -5.402e+00; } if( w==41 ) { r = -5.520e+00; } if( w==40 ) { r = -5.641e+00; } if( w==39 ) { r = -5.763e+00; } if( w==38 ) { r = -5.889e+00; } if( w==37 ) { r = -6.016e+00; } if( w==36 ) { r = -6.146e+00; } if( w==35 ) { r = -6.278e+00; } if( w==34 ) { r = -6.413e+00; } if( w==33 ) { r = -6.551e+00; } if( w==32 ) { r = -6.692e+00; } if( w==31 ) { r = -6.835e+00; } if( w==30 ) { r = -6.981e+00; } if( w==29 ) { r = -7.131e+00; } if( w==28 ) { r = -7.283e+00; } if( w==27 ) { r = -7.439e+00; } if( w==26 ) { r = -7.599e+00; } if( w==25 ) { r = -7.762e+00; } if( w==24 ) { r = -7.928e+00; } if( w==23 ) { r = -8.099e+00; } if( w==22 ) { r = -8.274e+00; } if( w==21 ) { r = -8.454e+00; } if( w==20 ) { r = -8.640e+00; } if( w==19 ) { r = -8.829e+00; } if( w==18 ) { r = -9.023e+00; } if( w==17 ) { r = -9.223e+00; } if( w==16 ) { r = -9.426e+00; } if( w==15 ) { r = -9.636e+00; } if( w==14 ) { r = -9.856e+00; } if( w==13 ) { r = -1.008e+01; } if( w==12 ) { r = -1.031e+01; } if( w==11 ) { r = -1.055e+01; } if( w==10 ) { r = -1.079e+01; } if( w==9 ) { r = -1.106e+01; } if( w==8 ) { r = -1.134e+01; } if( w==7 ) { r = -1.161e+01; } if( w==6 ) { r = -1.192e+01; } if( w==5 ) { r = -1.225e+01; } if( w==4 ) { r = -1.261e+01; } if( w==3 ) { r = -1.295e+01; } if( w==2 ) { r = -1.346e+01; } if( w==1 ) { r = -1.386e+01; } if( w<=0 ) { r = -1.456e+01; } result = r; return result; } /************************************************************************* Tail(S, 22) *************************************************************************/ static double wsr_w22(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-3.080179e+01*s+1.265000e+02, _state); if( w>=126 ) { r = -6.931e-01; } if( w==125 ) { r = -7.189e-01; } if( w==124 ) { r = -7.452e-01; } if( w==123 ) { r = -7.722e-01; } if( w==122 ) { r = -7.999e-01; } if( w==121 ) { r = -8.283e-01; } if( w==120 ) { r = -8.573e-01; } if( w==119 ) { r = -8.871e-01; } if( w==118 ) { r = -9.175e-01; } if( w==117 ) { r = -9.486e-01; } if( w==116 ) { r = -9.805e-01; } if( w==115 ) { r = -1.013e+00; } if( w==114 ) { r = -1.046e+00; } if( w==113 ) { r = -1.080e+00; } if( w==112 ) { r = -1.115e+00; } if( w==111 ) { r = -1.151e+00; } if( w==110 ) { r = -1.187e+00; } if( w==109 ) { r = -1.224e+00; } if( w==108 ) { r = -1.262e+00; } if( w==107 ) { r = -1.301e+00; } if( w==106 ) { r = -1.340e+00; } if( w==105 ) { r = -1.381e+00; } if( w==104 ) { r = -1.422e+00; } if( w==103 ) { r = -1.464e+00; } if( w==102 ) { r = -1.506e+00; } if( w==101 ) { r = -1.550e+00; } if( w==100 ) { r = -1.594e+00; } if( w==99 ) { r = -1.640e+00; } if( w==98 ) { r = -1.686e+00; } if( w==97 ) { r = -1.733e+00; } if( w==96 ) { r = -1.781e+00; } if( w==95 ) { r = -1.830e+00; } if( w==94 ) { r = -1.880e+00; } if( w==93 ) { r = -1.930e+00; } if( w==92 ) { r = -1.982e+00; } if( w==91 ) { r = -2.034e+00; } if( w==90 ) { r = -2.088e+00; } if( w==89 ) { r = -2.142e+00; } if( w==88 ) { r = -2.198e+00; } if( w==87 ) { r = -2.254e+00; } if( w==86 ) { r = -2.312e+00; } if( w==85 ) { r = -2.370e+00; } if( w==84 ) { r = -2.429e+00; } if( w==83 ) { r = -2.490e+00; } if( w==82 ) { r = -2.551e+00; } if( w==81 ) { r = -2.614e+00; } if( w==80 ) { r = -2.677e+00; } if( w==79 ) { r = -2.742e+00; } if( w==78 ) { r = -2.808e+00; } if( w==77 ) { r = -2.875e+00; } if( w==76 ) { r = -2.943e+00; } if( w==75 ) { r = -3.012e+00; } if( w==74 ) { r = -3.082e+00; } if( w==73 ) { r = -3.153e+00; } if( w==72 ) { r = -3.226e+00; } if( w==71 ) { r = -3.300e+00; } if( w==70 ) { r = -3.375e+00; } if( w==69 ) { r = -3.451e+00; } if( w==68 ) { r = -3.529e+00; } if( w==67 ) { r = -3.607e+00; } if( w==66 ) { r = -3.687e+00; } if( w==65 ) { r = -3.769e+00; } if( w==64 ) { r = -3.851e+00; } if( w==63 ) { r = -3.935e+00; } if( w==62 ) { r = -4.021e+00; } if( w==61 ) { r = -4.108e+00; } if( w==60 ) { r = -4.196e+00; } if( w==59 ) { r = -4.285e+00; } if( w==58 ) { r = -4.376e+00; } if( w==57 ) { r = -4.469e+00; } if( w==56 ) { r = -4.563e+00; } if( w==55 ) { r = -4.659e+00; } if( w==54 ) { r = -4.756e+00; } if( w==53 ) { r = -4.855e+00; } if( w==52 ) { r = -4.955e+00; } if( w==51 ) { r = -5.057e+00; } if( w==50 ) { r = -5.161e+00; } if( w==49 ) { r = -5.266e+00; } if( w==48 ) { r = -5.374e+00; } if( w==47 ) { r = -5.483e+00; } if( w==46 ) { r = -5.594e+00; } if( w==45 ) { r = -5.706e+00; } if( w==44 ) { r = -5.821e+00; } if( w==43 ) { r = -5.938e+00; } if( w==42 ) { r = -6.057e+00; } if( w==41 ) { r = -6.177e+00; } if( w==40 ) { r = -6.300e+00; } if( w==39 ) { r = -6.426e+00; } if( w==38 ) { r = -6.553e+00; } if( w==37 ) { r = -6.683e+00; } if( w==36 ) { r = -6.815e+00; } if( w==35 ) { r = -6.949e+00; } if( w==34 ) { r = -7.086e+00; } if( w==33 ) { r = -7.226e+00; } if( w==32 ) { r = -7.368e+00; } if( w==31 ) { r = -7.513e+00; } if( w==30 ) { r = -7.661e+00; } if( w==29 ) { r = -7.813e+00; } if( w==28 ) { r = -7.966e+00; } if( w==27 ) { r = -8.124e+00; } if( w==26 ) { r = -8.285e+00; } if( w==25 ) { r = -8.449e+00; } if( w==24 ) { r = -8.617e+00; } if( w==23 ) { r = -8.789e+00; } if( w==22 ) { r = -8.965e+00; } if( w==21 ) { r = -9.147e+00; } if( w==20 ) { r = -9.333e+00; } if( w==19 ) { r = -9.522e+00; } if( w==18 ) { r = -9.716e+00; } if( w==17 ) { r = -9.917e+00; } if( w==16 ) { r = -1.012e+01; } if( w==15 ) { r = -1.033e+01; } if( w==14 ) { r = -1.055e+01; } if( w==13 ) { r = -1.077e+01; } if( w==12 ) { r = -1.100e+01; } if( w==11 ) { r = -1.124e+01; } if( w==10 ) { r = -1.149e+01; } if( w==9 ) { r = -1.175e+01; } if( w==8 ) { r = -1.203e+01; } if( w==7 ) { r = -1.230e+01; } if( w==6 ) { r = -1.261e+01; } if( w==5 ) { r = -1.295e+01; } if( w==4 ) { r = -1.330e+01; } if( w==3 ) { r = -1.364e+01; } if( w==2 ) { r = -1.415e+01; } if( w==1 ) { r = -1.456e+01; } if( w<=0 ) { r = -1.525e+01; } result = r; return result; } /************************************************************************* Tail(S, 23) *************************************************************************/ static double wsr_w23(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-3.287856e+01*s+1.380000e+02, _state); if( w>=138 ) { r = -6.813e-01; } if( w==137 ) { r = -7.051e-01; } if( w==136 ) { r = -7.295e-01; } if( w==135 ) { r = -7.544e-01; } if( w==134 ) { r = -7.800e-01; } if( w==133 ) { r = -8.061e-01; } if( w==132 ) { r = -8.328e-01; } if( w==131 ) { r = -8.601e-01; } if( w==130 ) { r = -8.880e-01; } if( w==129 ) { r = -9.166e-01; } if( w==128 ) { r = -9.457e-01; } if( w==127 ) { r = -9.755e-01; } if( w==126 ) { r = -1.006e+00; } if( w==125 ) { r = -1.037e+00; } if( w==124 ) { r = -1.069e+00; } if( w==123 ) { r = -1.101e+00; } if( w==122 ) { r = -1.134e+00; } if( w==121 ) { r = -1.168e+00; } if( w==120 ) { r = -1.202e+00; } if( w==119 ) { r = -1.237e+00; } if( w==118 ) { r = -1.273e+00; } if( w==117 ) { r = -1.309e+00; } if( w==116 ) { r = -1.347e+00; } if( w==115 ) { r = -1.384e+00; } if( w==114 ) { r = -1.423e+00; } if( w==113 ) { r = -1.462e+00; } if( w==112 ) { r = -1.502e+00; } if( w==111 ) { r = -1.543e+00; } if( w==110 ) { r = -1.585e+00; } if( w==109 ) { r = -1.627e+00; } if( w==108 ) { r = -1.670e+00; } if( w==107 ) { r = -1.714e+00; } if( w==106 ) { r = -1.758e+00; } if( w==105 ) { r = -1.804e+00; } if( w==104 ) { r = -1.850e+00; } if( w==103 ) { r = -1.897e+00; } if( w==102 ) { r = -1.944e+00; } if( w==101 ) { r = -1.993e+00; } if( w==100 ) { r = -2.042e+00; } if( w==99 ) { r = -2.093e+00; } if( w==98 ) { r = -2.144e+00; } if( w==97 ) { r = -2.195e+00; } if( w==96 ) { r = -2.248e+00; } if( w==95 ) { r = -2.302e+00; } if( w==94 ) { r = -2.356e+00; } if( w==93 ) { r = -2.412e+00; } if( w==92 ) { r = -2.468e+00; } if( w==91 ) { r = -2.525e+00; } if( w==90 ) { r = -2.583e+00; } if( w==89 ) { r = -2.642e+00; } if( w==88 ) { r = -2.702e+00; } if( w==87 ) { r = -2.763e+00; } if( w==86 ) { r = -2.825e+00; } if( w==85 ) { r = -2.888e+00; } if( w==84 ) { r = -2.951e+00; } if( w==83 ) { r = -3.016e+00; } if( w==82 ) { r = -3.082e+00; } if( w==81 ) { r = -3.149e+00; } if( w==80 ) { r = -3.216e+00; } if( w==79 ) { r = -3.285e+00; } if( w==78 ) { r = -3.355e+00; } if( w==77 ) { r = -3.426e+00; } if( w==76 ) { r = -3.498e+00; } if( w==75 ) { r = -3.571e+00; } if( w==74 ) { r = -3.645e+00; } if( w==73 ) { r = -3.721e+00; } if( w==72 ) { r = -3.797e+00; } if( w==71 ) { r = -3.875e+00; } if( w==70 ) { r = -3.953e+00; } if( w==69 ) { r = -4.033e+00; } if( w==68 ) { r = -4.114e+00; } if( w==67 ) { r = -4.197e+00; } if( w==66 ) { r = -4.280e+00; } if( w==65 ) { r = -4.365e+00; } if( w==64 ) { r = -4.451e+00; } if( w==63 ) { r = -4.539e+00; } if( w==62 ) { r = -4.628e+00; } if( w==61 ) { r = -4.718e+00; } if( w==60 ) { r = -4.809e+00; } if( w==59 ) { r = -4.902e+00; } if( w==58 ) { r = -4.996e+00; } if( w==57 ) { r = -5.092e+00; } if( w==56 ) { r = -5.189e+00; } if( w==55 ) { r = -5.287e+00; } if( w==54 ) { r = -5.388e+00; } if( w==53 ) { r = -5.489e+00; } if( w==52 ) { r = -5.592e+00; } if( w==51 ) { r = -5.697e+00; } if( w==50 ) { r = -5.804e+00; } if( w==49 ) { r = -5.912e+00; } if( w==48 ) { r = -6.022e+00; } if( w==47 ) { r = -6.133e+00; } if( w==46 ) { r = -6.247e+00; } if( w==45 ) { r = -6.362e+00; } if( w==44 ) { r = -6.479e+00; } if( w==43 ) { r = -6.598e+00; } if( w==42 ) { r = -6.719e+00; } if( w==41 ) { r = -6.842e+00; } if( w==40 ) { r = -6.967e+00; } if( w==39 ) { r = -7.094e+00; } if( w==38 ) { r = -7.224e+00; } if( w==37 ) { r = -7.355e+00; } if( w==36 ) { r = -7.489e+00; } if( w==35 ) { r = -7.625e+00; } if( w==34 ) { r = -7.764e+00; } if( w==33 ) { r = -7.905e+00; } if( w==32 ) { r = -8.049e+00; } if( w==31 ) { r = -8.196e+00; } if( w==30 ) { r = -8.345e+00; } if( w==29 ) { r = -8.498e+00; } if( w==28 ) { r = -8.653e+00; } if( w==27 ) { r = -8.811e+00; } if( w==26 ) { r = -8.974e+00; } if( w==25 ) { r = -9.139e+00; } if( w==24 ) { r = -9.308e+00; } if( w==23 ) { r = -9.481e+00; } if( w==22 ) { r = -9.658e+00; } if( w==21 ) { r = -9.840e+00; } if( w==20 ) { r = -1.003e+01; } if( w==19 ) { r = -1.022e+01; } if( w==18 ) { r = -1.041e+01; } if( w==17 ) { r = -1.061e+01; } if( w==16 ) { r = -1.081e+01; } if( w==15 ) { r = -1.102e+01; } if( w==14 ) { r = -1.124e+01; } if( w==13 ) { r = -1.147e+01; } if( w==12 ) { r = -1.169e+01; } if( w==11 ) { r = -1.194e+01; } if( w==10 ) { r = -1.218e+01; } if( w==9 ) { r = -1.245e+01; } if( w==8 ) { r = -1.272e+01; } if( w==7 ) { r = -1.300e+01; } if( w==6 ) { r = -1.330e+01; } if( w==5 ) { r = -1.364e+01; } if( w==4 ) { r = -1.400e+01; } if( w==3 ) { r = -1.433e+01; } if( w==2 ) { r = -1.484e+01; } if( w==1 ) { r = -1.525e+01; } if( w<=0 ) { r = -1.594e+01; } result = r; return result; } /************************************************************************* Tail(S, 24) *************************************************************************/ static double wsr_w24(double s, ae_state *_state) { ae_int_t w; double r; double result; r = (double)(0); w = ae_round(-3.500000e+01*s+1.500000e+02, _state); if( w>=150 ) { r = -6.820e-01; } if( w==149 ) { r = -7.044e-01; } if( w==148 ) { r = -7.273e-01; } if( w==147 ) { r = -7.507e-01; } if( w==146 ) { r = -7.746e-01; } if( w==145 ) { r = -7.990e-01; } if( w==144 ) { r = -8.239e-01; } if( w==143 ) { r = -8.494e-01; } if( w==142 ) { r = -8.754e-01; } if( w==141 ) { r = -9.020e-01; } if( w==140 ) { r = -9.291e-01; } if( w==139 ) { r = -9.567e-01; } if( w==138 ) { r = -9.849e-01; } if( w==137 ) { r = -1.014e+00; } if( w==136 ) { r = -1.043e+00; } if( w==135 ) { r = -1.073e+00; } if( w==134 ) { r = -1.103e+00; } if( w==133 ) { r = -1.135e+00; } if( w==132 ) { r = -1.166e+00; } if( w==131 ) { r = -1.198e+00; } if( w==130 ) { r = -1.231e+00; } if( w==129 ) { r = -1.265e+00; } if( w==128 ) { r = -1.299e+00; } if( w==127 ) { r = -1.334e+00; } if( w==126 ) { r = -1.369e+00; } if( w==125 ) { r = -1.405e+00; } if( w==124 ) { r = -1.441e+00; } if( w==123 ) { r = -1.479e+00; } if( w==122 ) { r = -1.517e+00; } if( w==121 ) { r = -1.555e+00; } if( w==120 ) { r = -1.594e+00; } if( w==119 ) { r = -1.634e+00; } if( w==118 ) { r = -1.675e+00; } if( w==117 ) { r = -1.716e+00; } if( w==116 ) { r = -1.758e+00; } if( w==115 ) { r = -1.800e+00; } if( w==114 ) { r = -1.844e+00; } if( w==113 ) { r = -1.888e+00; } if( w==112 ) { r = -1.932e+00; } if( w==111 ) { r = -1.978e+00; } if( w==110 ) { r = -2.024e+00; } if( w==109 ) { r = -2.070e+00; } if( w==108 ) { r = -2.118e+00; } if( w==107 ) { r = -2.166e+00; } if( w==106 ) { r = -2.215e+00; } if( w==105 ) { r = -2.265e+00; } if( w==104 ) { r = -2.316e+00; } if( w==103 ) { r = -2.367e+00; } if( w==102 ) { r = -2.419e+00; } if( w==101 ) { r = -2.472e+00; } if( w==100 ) { r = -2.526e+00; } if( w==99 ) { r = -2.580e+00; } if( w==98 ) { r = -2.636e+00; } if( w==97 ) { r = -2.692e+00; } if( w==96 ) { r = -2.749e+00; } if( w==95 ) { r = -2.806e+00; } if( w==94 ) { r = -2.865e+00; } if( w==93 ) { r = -2.925e+00; } if( w==92 ) { r = -2.985e+00; } if( w==91 ) { r = -3.046e+00; } if( w==90 ) { r = -3.108e+00; } if( w==89 ) { r = -3.171e+00; } if( w==88 ) { r = -3.235e+00; } if( w==87 ) { r = -3.300e+00; } if( w==86 ) { r = -3.365e+00; } if( w==85 ) { r = -3.432e+00; } if( w==84 ) { r = -3.499e+00; } if( w==83 ) { r = -3.568e+00; } if( w==82 ) { r = -3.637e+00; } if( w==81 ) { r = -3.708e+00; } if( w==80 ) { r = -3.779e+00; } if( w==79 ) { r = -3.852e+00; } if( w==78 ) { r = -3.925e+00; } if( w==77 ) { r = -4.000e+00; } if( w==76 ) { r = -4.075e+00; } if( w==75 ) { r = -4.151e+00; } if( w==74 ) { r = -4.229e+00; } if( w==73 ) { r = -4.308e+00; } if( w==72 ) { r = -4.387e+00; } if( w==71 ) { r = -4.468e+00; } if( w==70 ) { r = -4.550e+00; } if( w==69 ) { r = -4.633e+00; } if( w==68 ) { r = -4.718e+00; } if( w==67 ) { r = -4.803e+00; } if( w==66 ) { r = -4.890e+00; } if( w==65 ) { r = -4.978e+00; } if( w==64 ) { r = -5.067e+00; } if( w==63 ) { r = -5.157e+00; } if( w==62 ) { r = -5.249e+00; } if( w==61 ) { r = -5.342e+00; } if( w==60 ) { r = -5.436e+00; } if( w==59 ) { r = -5.531e+00; } if( w==58 ) { r = -5.628e+00; } if( w==57 ) { r = -5.727e+00; } if( w==56 ) { r = -5.826e+00; } if( w==55 ) { r = -5.927e+00; } if( w==54 ) { r = -6.030e+00; } if( w==53 ) { r = -6.134e+00; } if( w==52 ) { r = -6.240e+00; } if( w==51 ) { r = -6.347e+00; } if( w==50 ) { r = -6.456e+00; } if( w==49 ) { r = -6.566e+00; } if( w==48 ) { r = -6.678e+00; } if( w==47 ) { r = -6.792e+00; } if( w==46 ) { r = -6.907e+00; } if( w==45 ) { r = -7.025e+00; } if( w==44 ) { r = -7.144e+00; } if( w==43 ) { r = -7.265e+00; } if( w==42 ) { r = -7.387e+00; } if( w==41 ) { r = -7.512e+00; } if( w==40 ) { r = -7.639e+00; } if( w==39 ) { r = -7.768e+00; } if( w==38 ) { r = -7.899e+00; } if( w==37 ) { r = -8.032e+00; } if( w==36 ) { r = -8.167e+00; } if( w==35 ) { r = -8.305e+00; } if( w==34 ) { r = -8.445e+00; } if( w==33 ) { r = -8.588e+00; } if( w==32 ) { r = -8.733e+00; } if( w==31 ) { r = -8.881e+00; } if( w==30 ) { r = -9.031e+00; } if( w==29 ) { r = -9.185e+00; } if( w==28 ) { r = -9.341e+00; } if( w==27 ) { r = -9.501e+00; } if( w==26 ) { r = -9.664e+00; } if( w==25 ) { r = -9.830e+00; } if( w==24 ) { r = -1.000e+01; } if( w==23 ) { r = -1.017e+01; } if( w==22 ) { r = -1.035e+01; } if( w==21 ) { r = -1.053e+01; } if( w==20 ) { r = -1.072e+01; } if( w==19 ) { r = -1.091e+01; } if( w==18 ) { r = -1.110e+01; } if( w==17 ) { r = -1.130e+01; } if( w==16 ) { r = -1.151e+01; } if( w==15 ) { r = -1.172e+01; } if( w==14 ) { r = -1.194e+01; } if( w==13 ) { r = -1.216e+01; } if( w==12 ) { r = -1.239e+01; } if( w==11 ) { r = -1.263e+01; } if( w==10 ) { r = -1.287e+01; } if( w==9 ) { r = -1.314e+01; } if( w==8 ) { r = -1.342e+01; } if( w==7 ) { r = -1.369e+01; } if( w==6 ) { r = -1.400e+01; } if( w==5 ) { r = -1.433e+01; } if( w==4 ) { r = -1.469e+01; } if( w==3 ) { r = -1.503e+01; } if( w==2 ) { r = -1.554e+01; } if( w==1 ) { r = -1.594e+01; } if( w<=0 ) { r = -1.664e+01; } result = r; return result; } /************************************************************************* Tail(S, 25) *************************************************************************/ static double wsr_w25(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/4.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; wsr_wcheb(x, -5.150509e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.695528e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.437637e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -2.611906e-01, &tj, &tj1, &result, _state); wsr_wcheb(x, -7.625722e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -2.579892e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.086876e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -2.906543e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -2.354881e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, 1.007195e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -8.437327e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 26) *************************************************************************/ static double wsr_w26(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/4.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; wsr_wcheb(x, -5.117622e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.635159e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.395167e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -2.382823e-01, &tj, &tj1, &result, _state); wsr_wcheb(x, -6.531987e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -2.060112e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -8.203697e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.516523e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.431364e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, 6.384553e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -3.238369e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 27) *************************************************************************/ static double wsr_w27(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/4.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; wsr_wcheb(x, -5.089731e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.584248e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.359966e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -2.203696e-01, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.753344e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.761891e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -7.096897e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.419108e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.581214e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, 3.033766e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.901441e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 28) *************************************************************************/ static double wsr_w28(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/4.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; wsr_wcheb(x, -5.065046e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.539163e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.328939e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -2.046376e-01, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.061515e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.469271e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.711578e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -8.389153e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.250575e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, 4.047245e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.128555e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 29) *************************************************************************/ static double wsr_w29(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/4.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; wsr_wcheb(x, -5.043413e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.499756e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.302137e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.915129e-01, &tj, &tj1, &result, _state); wsr_wcheb(x, -4.516329e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.260064e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -4.817269e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.478130e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.111668e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, 4.093451e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.135860e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 30) *************************************************************************/ static double wsr_w30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/4.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; wsr_wcheb(x, -5.024071e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.464515e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.278342e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.800030e-01, &tj, &tj1, &result, _state); wsr_wcheb(x, -4.046294e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.076162e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -3.968677e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.911679e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -8.619185e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, 5.125362e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -3.984370e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 40) *************************************************************************/ static double wsr_w40(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/4.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; wsr_wcheb(x, -4.904809e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.248327e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.136698e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.170982e-01, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.824427e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -3.888648e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.344929e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, 2.790407e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -4.619858e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, 3.359121e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -2.883026e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 60) *************************************************************************/ static double wsr_w60(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/4.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; wsr_wcheb(x, -4.809656e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.077191e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.029402e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -7.507931e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, -6.506226e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.391278e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -4.263635e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, 2.302271e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -2.384348e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, 1.865587e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.622355e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 120) *************************************************************************/ static double wsr_w120(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/4.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; wsr_wcheb(x, -4.729426e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -4.934426e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -9.433231e-01, &tj, &tj1, &result, _state); wsr_wcheb(x, -4.492504e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, 1.673948e-05, &tj, &tj1, &result, _state); wsr_wcheb(x, -6.077014e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -7.215768e-05, &tj, &tj1, &result, _state); wsr_wcheb(x, 9.086734e-05, &tj, &tj1, &result, _state); wsr_wcheb(x, -8.447980e-05, &tj, &tj1, &result, _state); wsr_wcheb(x, 6.705028e-05, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.828507e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 200) *************************************************************************/ static double wsr_w200(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/4.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; wsr_wcheb(x, -4.700240e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -4.883080e+00, &tj, &tj1, &result, _state); wsr_wcheb(x, -9.132168e-01, &tj, &tj1, &result, _state); wsr_wcheb(x, -3.512684e-02, &tj, &tj1, &result, _state); wsr_wcheb(x, 1.726342e-03, &tj, &tj1, &result, _state); wsr_wcheb(x, -5.189796e-04, &tj, &tj1, &result, _state); wsr_wcheb(x, -1.628659e-06, &tj, &tj1, &result, _state); wsr_wcheb(x, 4.261786e-05, &tj, &tj1, &result, _state); wsr_wcheb(x, -4.002498e-05, &tj, &tj1, &result, _state); wsr_wcheb(x, 3.146287e-05, &tj, &tj1, &result, _state); wsr_wcheb(x, -2.727576e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S,N), S>=0 *************************************************************************/ static double wsr_wsigma(double s, ae_int_t n, ae_state *_state) { double f0; double f1; double f2; double f3; double f4; double x0; double x1; double x2; double x3; double x4; double x; double result; result = (double)(0); if( n==5 ) { result = wsr_w5(s, _state); } if( n==6 ) { result = wsr_w6(s, _state); } if( n==7 ) { result = wsr_w7(s, _state); } if( n==8 ) { result = wsr_w8(s, _state); } if( n==9 ) { result = wsr_w9(s, _state); } if( n==10 ) { result = wsr_w10(s, _state); } if( n==11 ) { result = wsr_w11(s, _state); } if( n==12 ) { result = wsr_w12(s, _state); } if( n==13 ) { result = wsr_w13(s, _state); } if( n==14 ) { result = wsr_w14(s, _state); } if( n==15 ) { result = wsr_w15(s, _state); } if( n==16 ) { result = wsr_w16(s, _state); } if( n==17 ) { result = wsr_w17(s, _state); } if( n==18 ) { result = wsr_w18(s, _state); } if( n==19 ) { result = wsr_w19(s, _state); } if( n==20 ) { result = wsr_w20(s, _state); } if( n==21 ) { result = wsr_w21(s, _state); } if( n==22 ) { result = wsr_w22(s, _state); } if( n==23 ) { result = wsr_w23(s, _state); } if( n==24 ) { result = wsr_w24(s, _state); } if( n==25 ) { result = wsr_w25(s, _state); } if( n==26 ) { result = wsr_w26(s, _state); } if( n==27 ) { result = wsr_w27(s, _state); } if( n==28 ) { result = wsr_w28(s, _state); } if( n==29 ) { result = wsr_w29(s, _state); } if( n==30 ) { result = wsr_w30(s, _state); } if( n>30 ) { x = 1.0/n; x0 = 1.0/30; f0 = wsr_w30(s, _state); x1 = 1.0/40; f1 = wsr_w40(s, _state); x2 = 1.0/60; f2 = wsr_w60(s, _state); x3 = 1.0/120; f3 = wsr_w120(s, _state); x4 = 1.0/200; f4 = wsr_w200(s, _state); f1 = ((x-x0)*f1-(x-x1)*f0)/(x1-x0); f2 = ((x-x0)*f2-(x-x2)*f0)/(x2-x0); f3 = ((x-x0)*f3-(x-x3)*f0)/(x3-x0); f4 = ((x-x0)*f4-(x-x4)*f0)/(x4-x0); f2 = ((x-x1)*f2-(x-x2)*f1)/(x2-x1); f3 = ((x-x1)*f3-(x-x3)*f1)/(x3-x1); f4 = ((x-x1)*f4-(x-x4)*f1)/(x4-x1); f3 = ((x-x2)*f3-(x-x3)*f2)/(x3-x2); f4 = ((x-x2)*f4-(x-x4)*f2)/(x4-x2); f4 = ((x-x3)*f4-(x-x4)*f3)/(x4-x3); result = f4; } return result; } #endif #if defined(AE_COMPILE_STEST) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Sign test This test checks three hypotheses about the median of the given sample. The following tests are performed: * two-tailed test (null hypothesis - the median is equal to the given value) * left-tailed test (null hypothesis - the median is greater than or equal to the given value) * right-tailed test (null hypothesis - the median is less than or equal to the given value) Requirements: * the scale of measurement should be ordinal, interval or ratio (i.e. the test could not be applied to nominal variables). The test is non-parametric and doesn't require distribution X to be normal Input parameters: X - sample. Array whose index goes from 0 to N-1. N - size of the sample. Median - assumed median value. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. While calculating p-values high-precision binomial distribution approximation is used, so significance levels have about 15 exact digits. -- ALGLIB -- Copyright 08.09.2006 by Bochkanov Sergey *************************************************************************/ void onesamplesigntest(/* Real */ ae_vector* x, ae_int_t n, double median, double* bothtails, double* lefttail, double* righttail, ae_state *_state) { ae_int_t i; ae_int_t gtcnt; ae_int_t necnt; *bothtails = 0; *lefttail = 0; *righttail = 0; if( n<=1 ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; return; } /* * Calculate: * GTCnt - count of x[i]>Median * NECnt - count of x[i]<>Median */ gtcnt = 0; necnt = 0; for(i=0; i<=n-1; i++) { if( ae_fp_greater(x->ptr.p_double[i],median) ) { gtcnt = gtcnt+1; } if( ae_fp_neq(x->ptr.p_double[i],median) ) { necnt = necnt+1; } } if( necnt==0 ) { /* * all x[i] are equal to Median. * So we can conclude that Median is a true median :) */ *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; return; } *bothtails = ae_minreal(2*binomialdistribution(ae_minint(gtcnt, necnt-gtcnt, _state), necnt, 0.5, _state), 1.0, _state); *lefttail = binomialdistribution(gtcnt, necnt, 0.5, _state); *righttail = binomialcdistribution(gtcnt-1, necnt, 0.5, _state); } #endif #if defined(AE_COMPILE_CORRELATIONTESTS) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Pearson's correlation coefficient significance test This test checks hypotheses about whether X and Y are samples of two continuous distributions having zero correlation or whether their correlation is non-zero. The following tests are performed: * two-tailed test (null hypothesis - X and Y have zero correlation) * left-tailed test (null hypothesis - the correlation coefficient is greater than or equal to 0) * right-tailed test (null hypothesis - the correlation coefficient is less than or equal to 0). Requirements: * the number of elements in each sample is not less than 5 * normality of distributions of X and Y. Input parameters: R - Pearson's correlation coefficient for X and Y N - number of elements in samples, N>=5. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ void pearsoncorrelationsignificance(double r, ae_int_t n, double* bothtails, double* lefttail, double* righttail, ae_state *_state) { double t; double p; *bothtails = 0; *lefttail = 0; *righttail = 0; /* * Some special cases */ if( ae_fp_greater_eq(r,(double)(1)) ) { *bothtails = 0.0; *lefttail = 1.0; *righttail = 0.0; return; } if( ae_fp_less_eq(r,(double)(-1)) ) { *bothtails = 0.0; *lefttail = 0.0; *righttail = 1.0; return; } if( n<5 ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; return; } /* * General case */ t = r*ae_sqrt((n-2)/(1-ae_sqr(r, _state)), _state); p = studenttdistribution(n-2, t, _state); *bothtails = 2*ae_minreal(p, 1-p, _state); *lefttail = p; *righttail = 1-p; } /************************************************************************* Spearman's rank correlation coefficient significance test This test checks hypotheses about whether X and Y are samples of two continuous distributions having zero correlation or whether their correlation is non-zero. The following tests are performed: * two-tailed test (null hypothesis - X and Y have zero correlation) * left-tailed test (null hypothesis - the correlation coefficient is greater than or equal to 0) * right-tailed test (null hypothesis - the correlation coefficient is less than or equal to 0). Requirements: * the number of elements in each sample is not less than 5. The test is non-parametric and doesn't require distributions X and Y to be normal. Input parameters: R - Spearman's rank correlation coefficient for X and Y N - number of elements in samples, N>=5. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ void spearmanrankcorrelationsignificance(double r, ae_int_t n, double* bothtails, double* lefttail, double* righttail, ae_state *_state) { double t; double p; *bothtails = 0; *lefttail = 0; *righttail = 0; /* * Special case */ if( n<5 ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; return; } /* * General case */ if( ae_fp_greater_eq(r,(double)(1)) ) { t = 1.0E10; } else { if( ae_fp_less_eq(r,(double)(-1)) ) { t = -1.0E10; } else { t = r*ae_sqrt((n-2)/(1-ae_sqr(r, _state)), _state); } } if( ae_fp_less(t,(double)(0)) ) { p = correlationtests_spearmantail(t, n, _state); *bothtails = 2*p; *lefttail = p; *righttail = 1-p; } else { p = correlationtests_spearmantail(-t, n, _state); *bothtails = 2*p; *lefttail = 1-p; *righttail = p; } } /************************************************************************* Tail(S, 5) *************************************************************************/ static double correlationtests_spearmantail5(double s, ae_state *_state) { double result; if( ae_fp_less(s,0.000e+00) ) { result = studenttdistribution(3, -s, _state); return result; } if( ae_fp_greater_eq(s,3.580e+00) ) { result = 8.304e-03; return result; } if( ae_fp_greater_eq(s,2.322e+00) ) { result = 4.163e-02; return result; } if( ae_fp_greater_eq(s,1.704e+00) ) { result = 6.641e-02; return result; } if( ae_fp_greater_eq(s,1.303e+00) ) { result = 1.164e-01; return result; } if( ae_fp_greater_eq(s,1.003e+00) ) { result = 1.748e-01; return result; } if( ae_fp_greater_eq(s,7.584e-01) ) { result = 2.249e-01; return result; } if( ae_fp_greater_eq(s,5.468e-01) ) { result = 2.581e-01; return result; } if( ae_fp_greater_eq(s,3.555e-01) ) { result = 3.413e-01; return result; } if( ae_fp_greater_eq(s,1.759e-01) ) { result = 3.911e-01; return result; } if( ae_fp_greater_eq(s,1.741e-03) ) { result = 4.747e-01; return result; } if( ae_fp_greater_eq(s,0.000e+00) ) { result = 5.248e-01; return result; } result = (double)(0); return result; } /************************************************************************* Tail(S, 6) *************************************************************************/ static double correlationtests_spearmantail6(double s, ae_state *_state) { double result; if( ae_fp_less(s,1.001e+00) ) { result = studenttdistribution(4, -s, _state); return result; } if( ae_fp_greater_eq(s,5.663e+00) ) { result = 1.366e-03; return result; } if( ae_fp_greater_eq(s,3.834e+00) ) { result = 8.350e-03; return result; } if( ae_fp_greater_eq(s,2.968e+00) ) { result = 1.668e-02; return result; } if( ae_fp_greater_eq(s,2.430e+00) ) { result = 2.921e-02; return result; } if( ae_fp_greater_eq(s,2.045e+00) ) { result = 5.144e-02; return result; } if( ae_fp_greater_eq(s,1.747e+00) ) { result = 6.797e-02; return result; } if( ae_fp_greater_eq(s,1.502e+00) ) { result = 8.752e-02; return result; } if( ae_fp_greater_eq(s,1.295e+00) ) { result = 1.210e-01; return result; } if( ae_fp_greater_eq(s,1.113e+00) ) { result = 1.487e-01; return result; } if( ae_fp_greater_eq(s,1.001e+00) ) { result = 1.780e-01; return result; } result = (double)(0); return result; } /************************************************************************* Tail(S, 7) *************************************************************************/ static double correlationtests_spearmantail7(double s, ae_state *_state) { double result; if( ae_fp_less(s,1.001e+00) ) { result = studenttdistribution(5, -s, _state); return result; } if( ae_fp_greater_eq(s,8.159e+00) ) { result = 2.081e-04; return result; } if( ae_fp_greater_eq(s,5.620e+00) ) { result = 1.393e-03; return result; } if( ae_fp_greater_eq(s,4.445e+00) ) { result = 3.398e-03; return result; } if( ae_fp_greater_eq(s,3.728e+00) ) { result = 6.187e-03; return result; } if( ae_fp_greater_eq(s,3.226e+00) ) { result = 1.200e-02; return result; } if( ae_fp_greater_eq(s,2.844e+00) ) { result = 1.712e-02; return result; } if( ae_fp_greater_eq(s,2.539e+00) ) { result = 2.408e-02; return result; } if( ae_fp_greater_eq(s,2.285e+00) ) { result = 3.320e-02; return result; } if( ae_fp_greater_eq(s,2.068e+00) ) { result = 4.406e-02; return result; } if( ae_fp_greater_eq(s,1.879e+00) ) { result = 5.478e-02; return result; } if( ae_fp_greater_eq(s,1.710e+00) ) { result = 6.946e-02; return result; } if( ae_fp_greater_eq(s,1.559e+00) ) { result = 8.331e-02; return result; } if( ae_fp_greater_eq(s,1.420e+00) ) { result = 1.001e-01; return result; } if( ae_fp_greater_eq(s,1.292e+00) ) { result = 1.180e-01; return result; } if( ae_fp_greater_eq(s,1.173e+00) ) { result = 1.335e-01; return result; } if( ae_fp_greater_eq(s,1.062e+00) ) { result = 1.513e-01; return result; } if( ae_fp_greater_eq(s,1.001e+00) ) { result = 1.770e-01; return result; } result = (double)(0); return result; } /************************************************************************* Tail(S, 8) *************************************************************************/ static double correlationtests_spearmantail8(double s, ae_state *_state) { double result; if( ae_fp_less(s,2.001e+00) ) { result = studenttdistribution(6, -s, _state); return result; } if( ae_fp_greater_eq(s,1.103e+01) ) { result = 2.194e-05; return result; } if( ae_fp_greater_eq(s,7.685e+00) ) { result = 2.008e-04; return result; } if( ae_fp_greater_eq(s,6.143e+00) ) { result = 5.686e-04; return result; } if( ae_fp_greater_eq(s,5.213e+00) ) { result = 1.138e-03; return result; } if( ae_fp_greater_eq(s,4.567e+00) ) { result = 2.310e-03; return result; } if( ae_fp_greater_eq(s,4.081e+00) ) { result = 3.634e-03; return result; } if( ae_fp_greater_eq(s,3.697e+00) ) { result = 5.369e-03; return result; } if( ae_fp_greater_eq(s,3.381e+00) ) { result = 7.708e-03; return result; } if( ae_fp_greater_eq(s,3.114e+00) ) { result = 1.087e-02; return result; } if( ae_fp_greater_eq(s,2.884e+00) ) { result = 1.397e-02; return result; } if( ae_fp_greater_eq(s,2.682e+00) ) { result = 1.838e-02; return result; } if( ae_fp_greater_eq(s,2.502e+00) ) { result = 2.288e-02; return result; } if( ae_fp_greater_eq(s,2.340e+00) ) { result = 2.883e-02; return result; } if( ae_fp_greater_eq(s,2.192e+00) ) { result = 3.469e-02; return result; } if( ae_fp_greater_eq(s,2.057e+00) ) { result = 4.144e-02; return result; } if( ae_fp_greater_eq(s,2.001e+00) ) { result = 4.804e-02; return result; } result = (double)(0); return result; } /************************************************************************* Tail(S, 9) *************************************************************************/ static double correlationtests_spearmantail9(double s, ae_state *_state) { double result; if( ae_fp_less(s,2.001e+00) ) { result = studenttdistribution(7, -s, _state); return result; } if( ae_fp_greater_eq(s,9.989e+00) ) { result = 2.306e-05; return result; } if( ae_fp_greater_eq(s,8.069e+00) ) { result = 8.167e-05; return result; } if( ae_fp_greater_eq(s,6.890e+00) ) { result = 1.744e-04; return result; } if( ae_fp_greater_eq(s,6.077e+00) ) { result = 3.625e-04; return result; } if( ae_fp_greater_eq(s,5.469e+00) ) { result = 6.450e-04; return result; } if( ae_fp_greater_eq(s,4.991e+00) ) { result = 1.001e-03; return result; } if( ae_fp_greater_eq(s,4.600e+00) ) { result = 1.514e-03; return result; } if( ae_fp_greater_eq(s,4.272e+00) ) { result = 2.213e-03; return result; } if( ae_fp_greater_eq(s,3.991e+00) ) { result = 2.990e-03; return result; } if( ae_fp_greater_eq(s,3.746e+00) ) { result = 4.101e-03; return result; } if( ae_fp_greater_eq(s,3.530e+00) ) { result = 5.355e-03; return result; } if( ae_fp_greater_eq(s,3.336e+00) ) { result = 6.887e-03; return result; } if( ae_fp_greater_eq(s,3.161e+00) ) { result = 8.598e-03; return result; } if( ae_fp_greater_eq(s,3.002e+00) ) { result = 1.065e-02; return result; } if( ae_fp_greater_eq(s,2.855e+00) ) { result = 1.268e-02; return result; } if( ae_fp_greater_eq(s,2.720e+00) ) { result = 1.552e-02; return result; } if( ae_fp_greater_eq(s,2.595e+00) ) { result = 1.836e-02; return result; } if( ae_fp_greater_eq(s,2.477e+00) ) { result = 2.158e-02; return result; } if( ae_fp_greater_eq(s,2.368e+00) ) { result = 2.512e-02; return result; } if( ae_fp_greater_eq(s,2.264e+00) ) { result = 2.942e-02; return result; } if( ae_fp_greater_eq(s,2.166e+00) ) { result = 3.325e-02; return result; } if( ae_fp_greater_eq(s,2.073e+00) ) { result = 3.800e-02; return result; } if( ae_fp_greater_eq(s,2.001e+00) ) { result = 4.285e-02; return result; } result = (double)(0); return result; } /************************************************************************* Tail(T,N), accepts T<0 *************************************************************************/ static double correlationtests_spearmantail(double t, ae_int_t n, ae_state *_state) { double result; if( n==5 ) { result = correlationtests_spearmantail5(-t, _state); return result; } if( n==6 ) { result = correlationtests_spearmantail6(-t, _state); return result; } if( n==7 ) { result = correlationtests_spearmantail7(-t, _state); return result; } if( n==8 ) { result = correlationtests_spearmantail8(-t, _state); return result; } if( n==9 ) { result = correlationtests_spearmantail9(-t, _state); return result; } result = studenttdistribution(n-2, t, _state); return result; } #endif #if defined(AE_COMPILE_STUDENTTTESTS) || !defined(AE_PARTIAL_BUILD) /************************************************************************* One-sample t-test This test checks three hypotheses about the mean of the given sample. The following tests are performed: * two-tailed test (null hypothesis - the mean is equal to the given value) * left-tailed test (null hypothesis - the mean is greater than or equal to the given value) * right-tailed test (null hypothesis - the mean is less than or equal to the given value). The test is based on the assumption that a given sample has a normal distribution and an unknown dispersion. If the distribution sharply differs from normal, the test will work incorrectly. INPUT PARAMETERS: X - sample. Array whose index goes from 0 to N-1. N - size of sample, N>=0 Mean - assumed value of the mean. OUTPUT PARAMETERS: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. NOTE: this function correctly handles degenerate cases: * when N=0, all p-values are set to 1.0 * when variance of X[] is exactly zero, p-values are set to 1.0 or 0.0, depending on difference between sample mean and value of mean being tested. -- ALGLIB -- Copyright 08.09.2006 by Bochkanov Sergey *************************************************************************/ void studentttest1(/* Real */ ae_vector* x, ae_int_t n, double mean, double* bothtails, double* lefttail, double* righttail, ae_state *_state) { ae_int_t i; double xmean; double x0; double v; ae_bool samex; double xvariance; double xstddev; double v1; double v2; double stat; double s; *bothtails = 0; *lefttail = 0; *righttail = 0; if( n<=0 ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; return; } /* * Mean */ xmean = (double)(0); x0 = x->ptr.p_double[0]; samex = ae_true; for(i=0; i<=n-1; i++) { v = x->ptr.p_double[i]; xmean = xmean+v; samex = samex&&ae_fp_eq(v,x0); } if( samex ) { xmean = x0; } else { xmean = xmean/n; } /* * Variance (using corrected two-pass algorithm) */ xvariance = (double)(0); xstddev = (double)(0); if( n!=1&&!samex ) { v1 = (double)(0); for(i=0; i<=n-1; i++) { v1 = v1+ae_sqr(x->ptr.p_double[i]-xmean, _state); } v2 = (double)(0); for(i=0; i<=n-1; i++) { v2 = v2+(x->ptr.p_double[i]-xmean); } v2 = ae_sqr(v2, _state)/n; xvariance = (v1-v2)/(n-1); if( ae_fp_less(xvariance,(double)(0)) ) { xvariance = (double)(0); } xstddev = ae_sqrt(xvariance, _state); } if( ae_fp_eq(xstddev,(double)(0)) ) { if( ae_fp_eq(xmean,mean) ) { *bothtails = 1.0; } else { *bothtails = 0.0; } if( ae_fp_greater_eq(xmean,mean) ) { *lefttail = 1.0; } else { *lefttail = 0.0; } if( ae_fp_less_eq(xmean,mean) ) { *righttail = 1.0; } else { *righttail = 0.0; } return; } /* * Statistic */ stat = (xmean-mean)/(xstddev/ae_sqrt((double)(n), _state)); s = studenttdistribution(n-1, stat, _state); *bothtails = 2*ae_minreal(s, 1-s, _state); *lefttail = s; *righttail = 1-s; } /************************************************************************* Two-sample pooled test This test checks three hypotheses about the mean of the given samples. The following tests are performed: * two-tailed test (null hypothesis - the means are equal) * left-tailed test (null hypothesis - the mean of the first sample is greater than or equal to the mean of the second sample) * right-tailed test (null hypothesis - the mean of the first sample is less than or equal to the mean of the second sample). Test is based on the following assumptions: * given samples have normal distributions * dispersions are equal * samples are independent. Input parameters: X - sample 1. Array whose index goes from 0 to N-1. N - size of sample. Y - sample 2. Array whose index goes from 0 to M-1. M - size of sample. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. NOTE: this function correctly handles degenerate cases: * when N=0 or M=0, all p-values are set to 1.0 * when both samples has exactly zero variance, p-values are set to 1.0 or 0.0, depending on difference between means. -- ALGLIB -- Copyright 18.09.2006 by Bochkanov Sergey *************************************************************************/ void studentttest2(/* Real */ ae_vector* x, ae_int_t n, /* Real */ ae_vector* y, ae_int_t m, double* bothtails, double* lefttail, double* righttail, ae_state *_state) { ae_int_t i; ae_bool samex; ae_bool samey; double x0; double y0; double xmean; double ymean; double v; double stat; double s; double p; *bothtails = 0; *lefttail = 0; *righttail = 0; if( n<=0||m<=0 ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; return; } /* * Mean */ xmean = (double)(0); x0 = x->ptr.p_double[0]; samex = ae_true; for(i=0; i<=n-1; i++) { v = x->ptr.p_double[i]; xmean = xmean+v; samex = samex&&ae_fp_eq(v,x0); } if( samex ) { xmean = x0; } else { xmean = xmean/n; } ymean = (double)(0); y0 = y->ptr.p_double[0]; samey = ae_true; for(i=0; i<=m-1; i++) { v = y->ptr.p_double[i]; ymean = ymean+v; samey = samey&&ae_fp_eq(v,y0); } if( samey ) { ymean = y0; } else { ymean = ymean/m; } /* * S */ s = (double)(0); if( n+m>2 ) { for(i=0; i<=n-1; i++) { s = s+ae_sqr(x->ptr.p_double[i]-xmean, _state); } for(i=0; i<=m-1; i++) { s = s+ae_sqr(y->ptr.p_double[i]-ymean, _state); } s = ae_sqrt(s*((double)1/(double)n+(double)1/(double)m)/(n+m-2), _state); } if( ae_fp_eq(s,(double)(0)) ) { if( ae_fp_eq(xmean,ymean) ) { *bothtails = 1.0; } else { *bothtails = 0.0; } if( ae_fp_greater_eq(xmean,ymean) ) { *lefttail = 1.0; } else { *lefttail = 0.0; } if( ae_fp_less_eq(xmean,ymean) ) { *righttail = 1.0; } else { *righttail = 0.0; } return; } /* * Statistic */ stat = (xmean-ymean)/s; p = studenttdistribution(n+m-2, stat, _state); *bothtails = 2*ae_minreal(p, 1-p, _state); *lefttail = p; *righttail = 1-p; } /************************************************************************* Two-sample unpooled test This test checks three hypotheses about the mean of the given samples. The following tests are performed: * two-tailed test (null hypothesis - the means are equal) * left-tailed test (null hypothesis - the mean of the first sample is greater than or equal to the mean of the second sample) * right-tailed test (null hypothesis - the mean of the first sample is less than or equal to the mean of the second sample). Test is based on the following assumptions: * given samples have normal distributions * samples are independent. Equality of variances is NOT required. Input parameters: X - sample 1. Array whose index goes from 0 to N-1. N - size of the sample. Y - sample 2. Array whose index goes from 0 to M-1. M - size of the sample. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. NOTE: this function correctly handles degenerate cases: * when N=0 or M=0, all p-values are set to 1.0 * when both samples has zero variance, p-values are set to 1.0 or 0.0, depending on difference between means. * when only one sample has zero variance, test reduces to 1-sample version. -- ALGLIB -- Copyright 18.09.2006 by Bochkanov Sergey *************************************************************************/ void unequalvariancettest(/* Real */ ae_vector* x, ae_int_t n, /* Real */ ae_vector* y, ae_int_t m, double* bothtails, double* lefttail, double* righttail, ae_state *_state) { ae_int_t i; ae_bool samex; ae_bool samey; double x0; double y0; double xmean; double ymean; double xvar; double yvar; double v; double df; double p; double stat; double c; *bothtails = 0; *lefttail = 0; *righttail = 0; if( n<=0||m<=0 ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; return; } /* * Mean */ xmean = (double)(0); x0 = x->ptr.p_double[0]; samex = ae_true; for(i=0; i<=n-1; i++) { v = x->ptr.p_double[i]; xmean = xmean+v; samex = samex&&ae_fp_eq(v,x0); } if( samex ) { xmean = x0; } else { xmean = xmean/n; } ymean = (double)(0); y0 = y->ptr.p_double[0]; samey = ae_true; for(i=0; i<=m-1; i++) { v = y->ptr.p_double[i]; ymean = ymean+v; samey = samey&&ae_fp_eq(v,y0); } if( samey ) { ymean = y0; } else { ymean = ymean/m; } /* * Variance (using corrected two-pass algorithm) */ xvar = (double)(0); if( n>=2&&!samex ) { for(i=0; i<=n-1; i++) { xvar = xvar+ae_sqr(x->ptr.p_double[i]-xmean, _state); } xvar = xvar/(n-1); } yvar = (double)(0); if( m>=2&&!samey ) { for(i=0; i<=m-1; i++) { yvar = yvar+ae_sqr(y->ptr.p_double[i]-ymean, _state); } yvar = yvar/(m-1); } /* * Handle different special cases * (one or both variances are zero). */ if( ae_fp_eq(xvar,(double)(0))&&ae_fp_eq(yvar,(double)(0)) ) { if( ae_fp_eq(xmean,ymean) ) { *bothtails = 1.0; } else { *bothtails = 0.0; } if( ae_fp_greater_eq(xmean,ymean) ) { *lefttail = 1.0; } else { *lefttail = 0.0; } if( ae_fp_less_eq(xmean,ymean) ) { *righttail = 1.0; } else { *righttail = 0.0; } return; } if( ae_fp_eq(xvar,(double)(0)) ) { /* * X is constant, unpooled 2-sample test reduces to 1-sample test. * * NOTE: right-tail and left-tail must be passed to 1-sample * t-test in reverse order because we reverse order of * of samples. */ studentttest1(y, m, xmean, bothtails, righttail, lefttail, _state); return; } if( ae_fp_eq(yvar,(double)(0)) ) { /* * Y is constant, unpooled 2-sample test reduces to 1-sample test. */ studentttest1(x, n, ymean, bothtails, lefttail, righttail, _state); return; } /* * Statistic */ stat = (xmean-ymean)/ae_sqrt(xvar/n+yvar/m, _state); c = xvar/n/(xvar/n+yvar/m); df = rmul2((double)(n-1), (double)(m-1), _state)/((m-1)*ae_sqr(c, _state)+(n-1)*ae_sqr(1-c, _state)); if( ae_fp_greater(stat,(double)(0)) ) { p = 1-0.5*incompletebeta(df/2, 0.5, df/(df+ae_sqr(stat, _state)), _state); } else { p = 0.5*incompletebeta(df/2, 0.5, df/(df+ae_sqr(stat, _state)), _state); } *bothtails = 2*ae_minreal(p, 1-p, _state); *lefttail = p; *righttail = 1-p; } #endif #if defined(AE_COMPILE_MANNWHITNEYU) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Mann-Whitney U-test This test checks hypotheses about whether X and Y are samples of two continuous distributions of the same shape and same median or whether their medians are different. The following tests are performed: * two-tailed test (null hypothesis - the medians are equal) * left-tailed test (null hypothesis - the median of the first sample is greater than or equal to the median of the second sample) * right-tailed test (null hypothesis - the median of the first sample is less than or equal to the median of the second sample). Requirements: * the samples are independent * X and Y are continuous distributions (or discrete distributions well- approximating continuous distributions) * distributions of X and Y have the same shape. The only possible difference is their position (i.e. the value of the median) * the number of elements in each sample is not less than 5 * the scale of measurement should be ordinal, interval or ratio (i.e. the test could not be applied to nominal variables). The test is non-parametric and doesn't require distributions to be normal. Input parameters: X - sample 1. Array whose index goes from 0 to N-1. N - size of the sample. N>=5 Y - sample 2. Array whose index goes from 0 to M-1. M - size of the sample. M>=5 Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. To calculate p-values, special approximation is used. This method lets us calculate p-values with satisfactory accuracy in interval [0.0001, 1]. There is no approximation outside the [0.0001, 1] interval. Therefore, if the significance level outlies this interval, the test returns 0.0001. Relative precision of approximation of p-value: N M Max.err. Rms.err. 5..10 N..10 1.4e-02 6.0e-04 5..10 N..100 2.2e-02 5.3e-06 10..15 N..15 1.0e-02 3.2e-04 10..15 N..100 1.0e-02 2.2e-05 15..100 N..100 6.1e-03 2.7e-06 For N,M>100 accuracy checks weren't put into practice, but taking into account characteristics of asymptotic approximation used, precision should not be sharply different from the values for interval [5, 100]. NOTE: P-value approximation was optimized for 0.0001<=p<=0.2500. Thus, P's outside of this interval are enforced to these bounds. Say, you may quite often get P equal to exactly 0.25 or 0.0001. -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ void mannwhitneyutest(/* Real */ ae_vector* x, ae_int_t n, /* Real */ ae_vector* y, ae_int_t m, double* bothtails, double* lefttail, double* righttail, ae_state *_state) { ae_frame _frame_block; ae_int_t i; ae_int_t j; ae_int_t k; ae_int_t t; double tmp; ae_int_t tmpi; ae_int_t ns; ae_vector r; ae_vector c; double u; double p; double mp; double s; double sigma; double mu; ae_int_t tiecount; ae_vector tiesize; ae_frame_make(_state, &_frame_block); memset(&r, 0, sizeof(r)); memset(&c, 0, sizeof(c)); memset(&tiesize, 0, sizeof(tiesize)); *bothtails = 0; *lefttail = 0; *righttail = 0; ae_vector_init(&r, 0, DT_REAL, _state, ae_true); ae_vector_init(&c, 0, DT_INT, _state, ae_true); ae_vector_init(&tiesize, 0, DT_INT, _state, ae_true); /* * Prepare */ if( n<=4||m<=4 ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; ae_frame_leave(_state); return; } ns = n+m; ae_vector_set_length(&r, ns-1+1, _state); ae_vector_set_length(&c, ns-1+1, _state); for(i=0; i<=n-1; i++) { r.ptr.p_double[i] = x->ptr.p_double[i]; c.ptr.p_int[i] = 0; } for(i=0; i<=m-1; i++) { r.ptr.p_double[n+i] = y->ptr.p_double[i]; c.ptr.p_int[n+i] = 1; } /* * sort {R, C} */ if( ns!=1 ) { i = 2; do { t = i; while(t!=1) { k = t/2; if( ae_fp_greater_eq(r.ptr.p_double[k-1],r.ptr.p_double[t-1]) ) { t = 1; } else { tmp = r.ptr.p_double[k-1]; r.ptr.p_double[k-1] = r.ptr.p_double[t-1]; r.ptr.p_double[t-1] = tmp; tmpi = c.ptr.p_int[k-1]; c.ptr.p_int[k-1] = c.ptr.p_int[t-1]; c.ptr.p_int[t-1] = tmpi; t = k; } } i = i+1; } while(i<=ns); i = ns-1; do { tmp = r.ptr.p_double[i]; r.ptr.p_double[i] = r.ptr.p_double[0]; r.ptr.p_double[0] = tmp; tmpi = c.ptr.p_int[i]; c.ptr.p_int[i] = c.ptr.p_int[0]; c.ptr.p_int[0] = tmpi; t = 1; while(t!=0) { k = 2*t; if( k>i ) { t = 0; } else { if( k=1); } /* * compute tied ranks */ i = 0; tiecount = 0; ae_vector_set_length(&tiesize, ns-1+1, _state); while(i<=ns-1) { j = i+1; while(j<=ns-1) { if( ae_fp_neq(r.ptr.p_double[j],r.ptr.p_double[i]) ) { break; } j = j+1; } for(k=i; k<=j-1; k++) { r.ptr.p_double[k] = 1+(double)(i+j-1)/(double)2; } tiesize.ptr.p_int[tiecount] = j-i; tiecount = tiecount+1; i = j; } /* * Compute U */ u = (double)(0); for(i=0; i<=ns-1; i++) { if( c.ptr.p_int[i]==0 ) { u = u+r.ptr.p_double[i]; } } u = rmul2((double)(n), (double)(m), _state)+rmul2((double)(n), (double)(n+1), _state)*0.5-u; /* * Result */ mu = rmul2((double)(n), (double)(m), _state)/2; tmp = ns*(ae_sqr((double)(ns), _state)-1)/12; for(i=0; i<=tiecount-1; i++) { tmp = tmp-tiesize.ptr.p_int[i]*(ae_sqr((double)(tiesize.ptr.p_int[i]), _state)-1)/12; } sigma = ae_sqrt(rmul2((double)(n), (double)(m), _state)/ns/(ns-1)*tmp, _state); s = (u-mu)/sigma; if( ae_fp_less_eq(s,(double)(0)) ) { p = ae_exp(mannwhitneyu_usigma(-(u-mu)/sigma, n, m, _state), _state); mp = 1-ae_exp(mannwhitneyu_usigma(-(u-1-mu)/sigma, n, m, _state), _state); } else { mp = ae_exp(mannwhitneyu_usigma((u-mu)/sigma, n, m, _state), _state); p = 1-ae_exp(mannwhitneyu_usigma((u+1-mu)/sigma, n, m, _state), _state); } *lefttail = boundval(ae_maxreal(mp, 1.0E-4, _state), 0.0001, 0.2500, _state); *righttail = boundval(ae_maxreal(p, 1.0E-4, _state), 0.0001, 0.2500, _state); *bothtails = 2*ae_minreal(*lefttail, *righttail, _state); ae_frame_leave(_state); } /************************************************************************* Sequential Chebyshev interpolation. *************************************************************************/ static void mannwhitneyu_ucheb(double x, double c, double* tj, double* tj1, double* r, ae_state *_state) { double t; *r = *r+c*(*tj); t = 2*x*(*tj1)-(*tj); *tj = *tj1; *tj1 = t; } /************************************************************************* Three-point polynomial interpolation. *************************************************************************/ static double mannwhitneyu_uninterpolate(double p1, double p2, double p3, ae_int_t n, ae_state *_state) { double t1; double t2; double t3; double t; double p12; double p23; double result; t1 = 1.0/15.0; t2 = 1.0/30.0; t3 = 1.0/100.0; t = 1.0/n; p12 = ((t-t2)*p1+(t1-t)*p2)/(t1-t2); p23 = ((t-t3)*p2+(t2-t)*p3)/(t2-t3); result = ((t-t3)*p12+(t1-t)*p23)/(t1-t3); return result; } /************************************************************************* Tail(0, N1, N2) *************************************************************************/ static double mannwhitneyu_usigma000(ae_int_t n1, ae_int_t n2, ae_state *_state) { double p1; double p2; double p3; double result; p1 = mannwhitneyu_uninterpolate(-6.76984e-01, -6.83700e-01, -6.89873e-01, n2, _state); p2 = mannwhitneyu_uninterpolate(-6.83700e-01, -6.87311e-01, -6.90957e-01, n2, _state); p3 = mannwhitneyu_uninterpolate(-6.89873e-01, -6.90957e-01, -6.92175e-01, n2, _state); result = mannwhitneyu_uninterpolate(p1, p2, p3, n1, _state); return result; } /************************************************************************* Tail(0.75, N1, N2) *************************************************************************/ static double mannwhitneyu_usigma075(ae_int_t n1, ae_int_t n2, ae_state *_state) { double p1; double p2; double p3; double result; p1 = mannwhitneyu_uninterpolate(-1.44500e+00, -1.45906e+00, -1.47063e+00, n2, _state); p2 = mannwhitneyu_uninterpolate(-1.45906e+00, -1.46856e+00, -1.47644e+00, n2, _state); p3 = mannwhitneyu_uninterpolate(-1.47063e+00, -1.47644e+00, -1.48100e+00, n2, _state); result = mannwhitneyu_uninterpolate(p1, p2, p3, n1, _state); return result; } /************************************************************************* Tail(1.5, N1, N2) *************************************************************************/ static double mannwhitneyu_usigma150(ae_int_t n1, ae_int_t n2, ae_state *_state) { double p1; double p2; double p3; double result; p1 = mannwhitneyu_uninterpolate(-2.65380e+00, -2.67352e+00, -2.69011e+00, n2, _state); p2 = mannwhitneyu_uninterpolate(-2.67352e+00, -2.68591e+00, -2.69659e+00, n2, _state); p3 = mannwhitneyu_uninterpolate(-2.69011e+00, -2.69659e+00, -2.70192e+00, n2, _state); result = mannwhitneyu_uninterpolate(p1, p2, p3, n1, _state); return result; } /************************************************************************* Tail(2.25, N1, N2) *************************************************************************/ static double mannwhitneyu_usigma225(ae_int_t n1, ae_int_t n2, ae_state *_state) { double p1; double p2; double p3; double result; p1 = mannwhitneyu_uninterpolate(-4.41465e+00, -4.42260e+00, -4.43702e+00, n2, _state); p2 = mannwhitneyu_uninterpolate(-4.42260e+00, -4.41639e+00, -4.41928e+00, n2, _state); p3 = mannwhitneyu_uninterpolate(-4.43702e+00, -4.41928e+00, -4.41030e+00, n2, _state); result = mannwhitneyu_uninterpolate(p1, p2, p3, n1, _state); return result; } /************************************************************************* Tail(3.0, N1, N2) *************************************************************************/ static double mannwhitneyu_usigma300(ae_int_t n1, ae_int_t n2, ae_state *_state) { double p1; double p2; double p3; double result; p1 = mannwhitneyu_uninterpolate(-6.89839e+00, -6.83477e+00, -6.82340e+00, n2, _state); p2 = mannwhitneyu_uninterpolate(-6.83477e+00, -6.74559e+00, -6.71117e+00, n2, _state); p3 = mannwhitneyu_uninterpolate(-6.82340e+00, -6.71117e+00, -6.64929e+00, n2, _state); result = mannwhitneyu_uninterpolate(p1, p2, p3, n1, _state); return result; } /************************************************************************* Tail(3.33, N1, N2) *************************************************************************/ static double mannwhitneyu_usigma333(ae_int_t n1, ae_int_t n2, ae_state *_state) { double p1; double p2; double p3; double result; p1 = mannwhitneyu_uninterpolate(-8.31272e+00, -8.17096e+00, -8.13125e+00, n2, _state); p2 = mannwhitneyu_uninterpolate(-8.17096e+00, -8.00156e+00, -7.93245e+00, n2, _state); p3 = mannwhitneyu_uninterpolate(-8.13125e+00, -7.93245e+00, -7.82502e+00, n2, _state); result = mannwhitneyu_uninterpolate(p1, p2, p3, n1, _state); return result; } /************************************************************************* Tail(3.66, N1, N2) *************************************************************************/ static double mannwhitneyu_usigma367(ae_int_t n1, ae_int_t n2, ae_state *_state) { double p1; double p2; double p3; double result; p1 = mannwhitneyu_uninterpolate(-9.98837e+00, -9.70844e+00, -9.62087e+00, n2, _state); p2 = mannwhitneyu_uninterpolate(-9.70844e+00, -9.41156e+00, -9.28998e+00, n2, _state); p3 = mannwhitneyu_uninterpolate(-9.62087e+00, -9.28998e+00, -9.11686e+00, n2, _state); result = mannwhitneyu_uninterpolate(p1, p2, p3, n1, _state); return result; } /************************************************************************* Tail(4.0, N1, N2) *************************************************************************/ static double mannwhitneyu_usigma400(ae_int_t n1, ae_int_t n2, ae_state *_state) { double p1; double p2; double p3; double result; p1 = mannwhitneyu_uninterpolate(-1.20250e+01, -1.14911e+01, -1.13231e+01, n2, _state); p2 = mannwhitneyu_uninterpolate(-1.14911e+01, -1.09927e+01, -1.07937e+01, n2, _state); p3 = mannwhitneyu_uninterpolate(-1.13231e+01, -1.07937e+01, -1.05285e+01, n2, _state); result = mannwhitneyu_uninterpolate(p1, p2, p3, n1, _state); return result; } /************************************************************************* Tail(S, 5, 5) *************************************************************************/ static double mannwhitneyu_utbln5n5(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/2.611165e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -2.596264e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.412086e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.858542e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.614282e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.372686e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.524731e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.435331e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.284665e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.184141e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.298360e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 7.447272e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.938769e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.276205e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.138481e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.684625e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.558104e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 6) *************************************************************************/ static double mannwhitneyu_utbln5n6(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/2.738613e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -2.810459e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.684429e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.712858e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.009324e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.644391e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.034173e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.953498e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.279293e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.563485e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.971952e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.506309e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.541406e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.283205e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.016347e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.221626e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.286752e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 7) *************************************************************************/ static double mannwhitneyu_utbln5n7(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/2.841993e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -2.994677e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.923264e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.506190e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.054280e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.794587e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.726290e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.534180e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.517845e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.904428e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.882443e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.482988e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.114875e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.515082e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.996056e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.293581e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.349444e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 8) *************************************************************************/ static double mannwhitneyu_utbln5n8(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/2.927700e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.155727e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.135078e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.247203e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.309697e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.993725e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.567219e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.383704e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.002188e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.487322e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.443899e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.688270e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.600339e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.874948e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.811593e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.072353e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.659457e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 9) *************************************************************************/ static double mannwhitneyu_utbln5n9(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.298162e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.325016e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.939852e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.563029e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.222652e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.195200e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.445665e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.204792e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.775217e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.527781e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.221948e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.242968e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.607959e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.771285e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.694026e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.481190e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 10) *************************************************************************/ static double mannwhitneyu_utbln5n10(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.061862e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.425360e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.496710e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.587658e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.812005e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.427637e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.515702e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.406867e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.796295e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.237591e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.654249e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.181165e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.011665e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.417927e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.534880e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.791255e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.871512e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 11) *************************************************************************/ static double mannwhitneyu_utbln5n11(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.115427e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.539959e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.652998e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.196503e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.054363e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.618848e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.109411e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.786668e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.215648e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.484220e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.935991e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.396191e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.894177e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.206979e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.519055e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.210326e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.189679e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 12) *************************************************************************/ static double mannwhitneyu_utbln5n12(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.162278e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.644007e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.796173e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.771177e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.290043e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.794686e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.702110e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.185959e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.416259e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.592056e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.201530e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.754365e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.978945e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.012032e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.304579e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.100378e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.728269e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 13) *************************************************************************/ static double mannwhitneyu_utbln5n13(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.203616e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.739120e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.928117e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.031605e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.519403e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.962648e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.292183e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.809293e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.465156e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.456278e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.446055e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.109490e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.218256e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.941479e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.058603e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.824402e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.830947e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 14) *************************************************************************/ static double mannwhitneyu_utbln5n14(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.240370e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.826559e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.050370e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.083408e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.743164e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.012030e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.884686e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.059656e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.327521e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.134026e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.584201e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.440618e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.524133e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.990007e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.887334e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.534977e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.705395e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 15) *************************************************************************/ static double mannwhitneyu_utbln5n15(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.851572e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.082033e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.095983e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.814595e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.073148e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.420213e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.517175e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.344180e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.371393e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.711443e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.228569e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.683483e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.267112e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.156044e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 9.131316e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.301023e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 16) *************************************************************************/ static double mannwhitneyu_utbln5n16(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.852210e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.077482e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.091186e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.797282e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.084994e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.667054e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.843909e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.456732e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.039830e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.723508e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.940608e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.478285e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.649144e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.237703e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.707410e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.874293e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 17) *************************************************************************/ static double mannwhitneyu_utbln5n17(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.851752e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.071259e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.084700e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.758898e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.073846e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.684838e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.964936e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.782442e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.956362e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.984727e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.196936e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.558262e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.690746e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.364855e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.401006e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.546748e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 18) *************************************************************************/ static double mannwhitneyu_utbln5n18(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.850840e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.064799e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.077651e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.712659e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.049217e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.571333e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.929809e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.752044e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.949464e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.896101e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.614460e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.384357e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.489113e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.445725e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.945636e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.424653e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 19) *************************************************************************/ static double mannwhitneyu_utbln5n19(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.850027e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.059159e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.071106e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.669960e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.022780e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.442555e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.851335e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.433865e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.514465e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.332989e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.606099e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.341945e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.402164e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.039761e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.512831e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.284427e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 20) *************************************************************************/ static double mannwhitneyu_utbln5n20(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.849651e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.054729e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.065747e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.636243e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.003234e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.372789e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.831551e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.763090e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.830626e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.122384e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.108328e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.557983e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.945666e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.965696e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.493236e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.162591e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 21) *************************************************************************/ static double mannwhitneyu_utbln5n21(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.849649e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.051155e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.061430e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.608869e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.902788e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.346562e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.874709e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.682887e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.026206e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.534551e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.990575e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.713334e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 9.737011e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.304571e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.133110e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.123457e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 22) *************************************************************************/ static double mannwhitneyu_utbln5n22(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.849598e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.047605e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.057264e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.579513e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.749602e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.275137e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.881768e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.177374e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.981056e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.696290e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.886803e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.085378e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.675242e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.426367e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.039613e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.662378e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 23) *************************************************************************/ static double mannwhitneyu_utbln5n23(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.849269e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.043761e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.052735e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.544683e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.517503e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.112082e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.782070e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.549483e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.747329e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.694263e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.147141e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.526209e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.039173e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.235615e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.656546e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.014423e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 24) *************************************************************************/ static double mannwhitneyu_utbln5n24(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.848925e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.040178e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.048355e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.510198e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.261134e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.915864e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.627423e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.307345e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.732992e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.869652e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.494176e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.047533e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.178439e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.424171e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.829195e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.840810e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 25) *************************************************************************/ static double mannwhitneyu_utbln5n25(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.848937e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.037512e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.044866e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.483269e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.063682e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.767778e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.508540e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.332756e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.881511e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.124041e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.368456e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.930499e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.779630e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.029528e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.658678e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.289695e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 26) *************************************************************************/ static double mannwhitneyu_utbln5n26(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.849416e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.035915e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.042493e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.466021e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.956432e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.698914e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.465689e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.035254e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.674614e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.492734e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.014021e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.944953e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.255750e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.075841e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.989330e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.134862e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 27) *************************************************************************/ static double mannwhitneyu_utbln5n27(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.850070e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.034815e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.040650e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.453117e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.886426e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.661702e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.452346e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.002476e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.720126e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.001400e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.729826e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.740640e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.206333e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.366093e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.193471e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.804091e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 28) *************************************************************************/ static double mannwhitneyu_utbln5n28(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.850668e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.033786e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.038853e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.440281e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.806020e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.612883e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.420436e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.787982e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.535230e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.263121e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.849609e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.863967e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.391610e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.720294e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.952273e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.901413e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 29) *************************************************************************/ static double mannwhitneyu_utbln5n29(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.851217e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.032834e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.037113e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.427762e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.719146e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.557172e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.375498e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.452033e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.187516e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.916936e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.065533e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.067301e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.615824e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.432244e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.417795e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.710038e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 30) *************************************************************************/ static double mannwhitneyu_utbln5n30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.851845e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.032148e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.035679e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.417758e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.655330e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.522132e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.352106e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.326911e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.064969e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.813321e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.683881e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.813346e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.627085e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.832107e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.519336e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.888530e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 5, 100) *************************************************************************/ static double mannwhitneyu_utbln5n100(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.250000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.877940e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.039324e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.022243e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.305825e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.960119e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.112000e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.138868e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.418164e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.174520e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.489617e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.878301e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.302233e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.054113e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.458862e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.186591e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.623412e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 6) *************************************************************************/ static double mannwhitneyu_utbln6n6(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/2.882307e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.054075e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.998804e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.681518e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.067578e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.709435e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 9.952661e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.641700e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.304572e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.336275e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.770385e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.401891e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.246148e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.442663e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.502866e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.105855e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.739371e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 7) *************************************************************************/ static double mannwhitneyu_utbln6n7(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.000000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.265287e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.274613e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.582352e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.334293e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.915502e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.108091e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.546701e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.298827e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.891501e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.313717e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.989501e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.914594e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.062372e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.158841e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.596443e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.185662e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 8) *************************************************************************/ static double mannwhitneyu_utbln6n8(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.098387e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.450954e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.520462e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.420299e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.604853e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.165840e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.008756e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.723402e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.843521e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.883405e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.720980e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.301709e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.948034e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.776243e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.623736e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.742068e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.796927e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 9) *************************************************************************/ static double mannwhitneyu_utbln6n9(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.181981e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.616113e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.741650e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.204487e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.873068e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.446794e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.632286e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.266481e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.280067e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.780687e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.480242e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.592200e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.581019e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.264231e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.347174e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.167535e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.092185e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 10) *************************************************************************/ static double mannwhitneyu_utbln6n10(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.253957e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.764382e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.942366e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.939896e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.137812e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.720270e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.281070e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.901060e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.824937e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.802812e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.258132e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.233536e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.085530e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.212151e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.001329e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.226048e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.035298e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 11) *************************************************************************/ static double mannwhitneyu_utbln6n11(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.316625e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.898597e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.125710e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.063297e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.396852e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.990126e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.927977e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.726500e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.858745e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.654590e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.217736e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.989770e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.768493e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.924364e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.140215e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.647914e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.924802e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 12) *************************************************************************/ static double mannwhitneyu_utbln6n12(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.371709e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.020941e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.294250e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.128842e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.650389e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.248611e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.578510e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.162852e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.746982e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.454209e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.128042e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.936650e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.530794e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.665192e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.994144e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.662249e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.368541e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 13) *************************************************************************/ static double mannwhitneyu_utbln6n13(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.420526e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.133167e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.450016e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.191088e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.898220e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.050249e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.226901e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.471113e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.007470e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.049420e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.059074e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.881249e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.452780e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.441805e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.787493e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.483957e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.481590e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 14) *************************************************************************/ static double mannwhitneyu_utbln6n14(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.450000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.201268e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.542568e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.226965e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.046029e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.136657e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.786757e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.843748e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.588022e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.253029e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.667188e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.788330e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.474545e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.540494e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.951188e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.863323e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.220904e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 15) *************************************************************************/ static double mannwhitneyu_utbln6n15(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.450000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.195689e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.526567e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.213617e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.975035e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.118480e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.859142e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.083312e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.298720e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.766708e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.026356e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.093113e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.135168e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.136376e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.190870e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.435972e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.413129e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 30) *************************************************************************/ static double mannwhitneyu_utbln6n30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.450000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.166269e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.427399e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.118239e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.360847e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.745885e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.025041e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.187179e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.432089e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.408451e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.388774e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.795560e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.304136e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.258516e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.180236e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.388679e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.836027e-06, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 6, 100) *************************************************************************/ static double mannwhitneyu_utbln6n100(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.450000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.181350e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.417919e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.094201e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.195883e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.818937e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.514202e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.125047e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.022148e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.284181e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.157766e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.023752e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.127985e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.221690e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.516179e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 9.501398e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 9.380220e-06, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 7, 7) *************************************************************************/ static double mannwhitneyu_utbln7n7(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.130495e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.501264e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.584790e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.577311e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.617002e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.145186e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.023462e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.408251e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.626515e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.072492e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.722926e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.095445e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.842602e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.751427e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.008927e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.892431e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.772386e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 7, 8) *************************************************************************/ static double mannwhitneyu_utbln7n8(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.240370e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.709965e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.862154e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.504541e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.900195e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.439995e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.678028e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.485540e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.437047e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.440092e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.114227e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.516569e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.829457e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.787550e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.761866e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.991911e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.533481e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 7, 9) *************************************************************************/ static double mannwhitneyu_utbln7n9(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.334314e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.896550e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.112671e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.037277e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.181695e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.765190e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.360116e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.695960e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.780578e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.963843e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.616148e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.852104e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.390744e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.014041e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.888101e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.467474e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.004611e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 7, 10) *************************************************************************/ static double mannwhitneyu_utbln7n10(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.415650e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.064844e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.340749e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.118888e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.459730e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.097781e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.057688e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.097406e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.209262e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.065641e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.196677e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.313994e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.827157e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.822284e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.389090e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.340850e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.395172e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 7, 11) *************************************************************************/ static double mannwhitneyu_utbln7n11(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.486817e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.217795e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.549783e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.195905e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.733093e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.428447e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.760093e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.431676e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.717152e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.032199e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.832423e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.905979e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.302799e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.464371e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.456211e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.736244e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.140712e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 7, 12) *************************************************************************/ static double mannwhitneyu_utbln7n12(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.500000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.235822e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.564100e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.190813e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.686546e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.395083e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.967359e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.747096e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.304144e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.903198e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.134906e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.175035e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.266224e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.892931e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.604706e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 9.070459e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.427010e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 7, 13) *************************************************************************/ static double mannwhitneyu_utbln7n13(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.500000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.222204e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.532300e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.164642e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.523768e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.531984e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.467857e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.483804e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.524136e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.077740e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.745218e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.602085e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.828831e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.994070e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.873879e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.341937e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.706444e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 7, 14) *************************************************************************/ static double mannwhitneyu_utbln7n14(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.500000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.211763e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.507542e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.143640e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.395755e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.808020e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.044259e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.182308e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.057325e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.724255e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.303900e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.113148e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.102514e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.559442e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.634986e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.776476e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.054489e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 7, 15) *************************************************************************/ static double mannwhitneyu_utbln7n15(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.500000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.204898e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.489960e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.129172e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.316741e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.506107e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.983676e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.258013e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.262515e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.984156e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.912108e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.974023e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.056195e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.090842e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.232620e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.816339e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.020421e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 7, 30) *************************************************************************/ static double mannwhitneyu_utbln7n30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.500000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.176536e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.398705e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.045481e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.821982e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.962304e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.698132e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.062667e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.282353e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.014836e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.035683e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.004137e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.801453e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.920705e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.518735e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.821501e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.801008e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 7, 100) *************************************************************************/ static double mannwhitneyu_utbln7n100(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.500000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.188337e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.386949e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.022834e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.686517e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.323516e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.399392e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.644333e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.617044e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.031396e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.792066e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.675457e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.673416e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.258552e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.174214e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.073644e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.349958e-06, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 8, 8) *************************************************************************/ static double mannwhitneyu_utbln8n8(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.360672e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -3.940217e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.168913e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.051485e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.195325e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.775196e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.385506e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.244902e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.525632e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.771275e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.332874e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.079599e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.882551e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.407944e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.769844e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.062433e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.872535e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 8, 9) *************************************************************************/ static double mannwhitneyu_utbln8n9(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.464102e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.147004e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.446939e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.146155e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.488561e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.144561e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.116917e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.205667e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.515661e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.618616e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.599011e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.457324e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.482917e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.488267e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.469823e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.957591e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.058326e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 8, 10) *************************************************************************/ static double mannwhitneyu_utbln8n10(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.554093e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.334282e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.700860e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.235253e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.778489e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.527324e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.862885e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.589781e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.507355e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.717526e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 9.215726e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.848696e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.918854e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.219614e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.753761e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.573688e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.602177e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 8, 11) *************************************************************************/ static double mannwhitneyu_utbln8n11(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.600000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.421882e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.812457e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.266153e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.849344e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.971527e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.258944e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.944820e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.894685e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.031836e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.514330e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.351660e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.206748e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.492600e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.005338e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.780099e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.673599e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 8, 12) *************************************************************************/ static double mannwhitneyu_utbln8n12(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.600000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.398211e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.762214e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.226296e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.603837e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.643223e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.502438e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.544574e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.647734e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.442259e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.011484e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.384758e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.998259e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.659985e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.331046e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.638478e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.056785e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 8, 13) *************************************************************************/ static double mannwhitneyu_utbln8n13(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.600000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.380670e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.724511e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.195851e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.420511e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.609928e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.893999e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.115919e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.291410e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.339664e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.801548e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.534710e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.793250e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.806718e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.384624e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.120582e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.936453e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 8, 14) *************************************************************************/ static double mannwhitneyu_utbln8n14(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.600000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.368494e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.697171e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.174440e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.300621e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.087393e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.685826e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.085254e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.525658e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.966647e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.453388e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.826066e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.501958e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.336297e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.251972e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.118456e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.415959e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 8, 15) *************************************************************************/ static double mannwhitneyu_utbln8n15(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.600000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.358397e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.674485e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.155941e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.195780e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.544830e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.426183e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.309902e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.650956e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.068874e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.538544e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.192525e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.073905e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.079673e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 9.423572e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.579647e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.765904e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 8, 30) *************************************************************************/ static double mannwhitneyu_utbln8n30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.600000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.318823e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.567159e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.064864e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.688413e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.153712e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.309389e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.226861e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.523815e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.780987e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.166866e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.922431e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.466397e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.690036e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.008185e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.271903e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.534751e-06, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 8, 100) *************************************************************************/ static double mannwhitneyu_utbln8n100(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.600000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.324531e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.547071e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.038129e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.541549e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.525605e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.044992e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.085713e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.017871e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.459226e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.092064e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.024349e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 7.366347e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.385637e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.321722e-08, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.439286e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.058079e-07, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 9, 9) *************************************************************************/ static double mannwhitneyu_utbln9n9(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.576237e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.372857e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.750859e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.248233e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.792868e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.559372e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.894941e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.643256e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.091370e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.285034e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.112997e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.806229e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.150741e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.509825e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.891051e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.485013e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.343653e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 9, 10) *************************************************************************/ static double mannwhitneyu_utbln9n10(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.516726e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.939333e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.305046e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.935326e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.029141e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.420592e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.053140e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.065930e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.523581e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.544888e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.813741e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.510631e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.536057e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.833815e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.189692e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.615050e-03, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 9, 11) *************************************************************************/ static double mannwhitneyu_utbln9n11(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.481308e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.867483e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.249072e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.591790e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.400128e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.341992e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.463680e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.487211e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.671196e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.343472e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.544146e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.802335e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.117084e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.217443e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.858766e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.193687e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 9, 12) *************************************************************************/ static double mannwhitneyu_utbln9n12(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.456776e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.817037e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.209788e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.362108e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.171356e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.661557e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.026141e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.361908e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.093885e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.298389e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.663603e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.768522e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.579015e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.868677e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.440652e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.523037e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 9, 13) *************************************************************************/ static double mannwhitneyu_utbln9n13(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.438840e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.779308e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.180614e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.196489e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.346621e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.234857e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.796211e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.575715e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.525647e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.964651e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.275235e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.299124e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.397416e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.295781e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.237619e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 7.269692e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 9, 14) *************************************************************************/ static double mannwhitneyu_utbln9n14(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.425981e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.751545e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.159543e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.086570e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.917446e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.120112e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.175519e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.515473e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.727772e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.070629e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.677569e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.876953e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.233502e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.508182e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.120389e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.847212e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 9, 15) *************************************************************************/ static double mannwhitneyu_utbln9n15(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.414952e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.727612e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.140634e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.981231e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.382635e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.853575e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.571051e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.567625e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.214197e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.448700e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.712669e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.015050e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.438610e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.301363e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.309386e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.164772e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 9, 30) *************************************************************************/ static double mannwhitneyu_utbln9n30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.370720e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.615712e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.050023e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.504775e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.318265e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.646826e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.741492e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.735360e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.966911e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.100738e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.348991e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.527687e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.917286e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.397466e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.360175e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.892252e-07, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 9, 100) *************************************************************************/ static double mannwhitneyu_utbln9n100(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.372506e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.590966e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.021758e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.359849e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.755519e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.533166e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.936659e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.634913e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.730053e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.791845e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.030682e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.228663e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.631175e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.636749e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.404599e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.789872e-07, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 10, 10) *************************************************************************/ static double mannwhitneyu_utbln10n10(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.468831e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.844398e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.231728e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.486073e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.781321e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.971425e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.215371e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.828451e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.419872e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.430165e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.740363e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.049211e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.269371e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.211393e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.232314e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.016081e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 10, 11) *************************************************************************/ static double mannwhitneyu_utbln10n11(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.437998e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.782296e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.184732e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.219585e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.457012e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.296008e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.481501e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.527940e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.953426e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.563840e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.574403e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.535775e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.338037e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.002654e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.852676e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.318132e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 10, 12) *************************************************************************/ static double mannwhitneyu_utbln10n12(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.416082e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.737458e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.150952e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.036884e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.609030e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.908684e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.439666e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.162647e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.451601e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.148757e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.803981e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.731621e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.346903e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.013151e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.956148e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.438381e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 10, 13) *************************************************************************/ static double mannwhitneyu_utbln10n13(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.399480e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.702863e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.124829e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.897428e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.979802e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.634368e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.180461e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.484926e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.864376e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.186576e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.886925e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.836828e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.074756e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.209547e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.883266e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.380143e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 10, 14) *************************************************************************/ static double mannwhitneyu_utbln10n14(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.386924e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.676124e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.104740e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.793826e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.558886e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.492462e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.052903e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.917782e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.878696e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.576046e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.764551e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.288778e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.757658e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.299101e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.265197e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.384503e-07, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 10, 15) *************************************************************************/ static double mannwhitneyu_utbln10n15(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.376846e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.654247e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.088083e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.705945e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.169677e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.317213e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.264836e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.548024e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.633910e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.505621e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.658588e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.320254e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.175277e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.122317e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.675688e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.661363e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 10, 30) *************************************************************************/ static double mannwhitneyu_utbln10n30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.333977e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.548099e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.004444e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.291014e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.523674e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.828211e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.716917e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.894256e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.433371e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.522675e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.764192e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.140235e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.629230e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.541895e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.944946e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.726360e-06, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 10, 100) *************************************************************************/ static double mannwhitneyu_utbln10n100(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.650000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.334008e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.522316e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.769627e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.158110e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.053650e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.242235e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.173571e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.033661e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.824732e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.084420e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.610036e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.728155e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.217130e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.340966e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.001235e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.694052e-07, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 11, 11) *************************************************************************/ static double mannwhitneyu_utbln11n11(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.519760e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.880694e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.200698e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.174092e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.072304e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.054773e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.506613e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.813942e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.223644e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.417416e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.499166e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.194332e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 7.369096e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.968590e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.630532e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.061000e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 11, 12) *************************************************************************/ static double mannwhitneyu_utbln11n12(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.495790e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.832622e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.165420e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.987306e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.265621e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.723537e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.347406e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.353464e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.613369e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.102522e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.237709e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.665652e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.626903e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.167518e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.564455e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.047320e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 11, 13) *************************************************************************/ static double mannwhitneyu_utbln11n13(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.477880e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.796242e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.138769e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.851739e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.722104e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.548304e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.176683e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.817895e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.842451e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.935870e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.421777e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.238831e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.867026e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.458255e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.306259e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.961487e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 11, 14) *************************************************************************/ static double mannwhitneyu_utbln11n14(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.463683e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.766969e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.117082e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.739574e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.238865e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.350306e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.425871e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.640172e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.660633e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.879883e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.349658e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.271795e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.304544e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.024201e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.816867e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.596787e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 11, 15) *************************************************************************/ static double mannwhitneyu_utbln11n15(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.452526e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.743570e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.099705e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.650612e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.858285e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.187036e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.689241e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.294360e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.072623e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.278008e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.322382e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.131558e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.305669e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.825627e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.332689e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.120973e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 11, 30) *************************************************************************/ static double mannwhitneyu_utbln11n30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.402621e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.627440e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.011333e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.224126e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.232856e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.859347e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.377381e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.756709e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.033230e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.875472e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.608399e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.102943e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.740693e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.343139e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.196878e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.658062e-07, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 11, 100) *************************************************************************/ static double mannwhitneyu_utbln11n100(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.398795e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.596486e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.814761e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.085187e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.766529e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.379425e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.986351e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.214705e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.360075e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.260869e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.033307e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.727087e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.393883e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.242989e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.111928e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.898823e-09, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 12, 12) *************************************************************************/ static double mannwhitneyu_utbln12n12(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.472616e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.786627e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.132099e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.817523e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.570179e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.479511e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.799492e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.565350e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.530139e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.380132e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.242761e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.576269e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.018771e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.933911e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 9.002799e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.022048e-06, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 12, 13) *************************************************************************/ static double mannwhitneyu_utbln12n13(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.454800e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.750794e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.105988e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.684754e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.011826e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.262579e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.044492e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.478741e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.322165e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.621104e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.068753e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.468396e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.056235e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.327375e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.914877e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.784191e-04, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 12, 14) *************************************************************************/ static double mannwhitneyu_utbln12n14(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.440910e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.722404e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.085254e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.579439e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.563738e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.066730e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.129346e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.014531e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.129679e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.000909e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.996174e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.377924e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.936304e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.051098e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 9.025820e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 8.730585e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 12, 15) *************************************************************************/ static double mannwhitneyu_utbln12n15(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.430123e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.700008e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.068971e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.499725e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.250897e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.473145e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.680008e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.483350e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.766992e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.891081e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.015140e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.977756e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.707414e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.114786e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.238865e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.381445e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 12, 30) *************************************************************************/ static double mannwhitneyu_utbln12n30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.380023e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.585782e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.838583e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.103394e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.834015e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.635212e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.948212e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.574169e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.747980e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.833672e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.722433e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.181038e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.206473e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.716003e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.476434e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.217700e-07, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 12, 100) *************************************************************************/ static double mannwhitneyu_utbln12n100(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.700000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.374567e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.553481e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.541334e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.701907e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.414757e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.404103e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.234388e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.453762e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.311060e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.317501e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.713888e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.309583e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.019804e-08, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.224829e-09, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.349019e-08, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.893302e-08, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 13, 13) *************************************************************************/ static double mannwhitneyu_utbln13n13(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.750000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.541046e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.859047e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.130164e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.689719e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.950693e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.231455e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.976550e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.538455e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.245603e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.142647e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.831434e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.032483e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.488405e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.156927e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.949279e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.532700e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 13, 14) *************************************************************************/ static double mannwhitneyu_utbln13n14(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.750000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.525655e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.828341e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.108110e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.579552e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.488307e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.032328e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.988741e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.766394e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.388950e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.338179e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.133440e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.023518e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.110570e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.202332e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.056132e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.536323e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 13, 15) *************************************************************************/ static double mannwhitneyu_utbln13n15(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.750000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.513585e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.803952e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.090686e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.495310e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.160314e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.073124e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.480313e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.478239e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.140914e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.311541e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.677105e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.115464e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.578563e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.044604e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.888939e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 2.395644e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 13, 30) *************************************************************************/ static double mannwhitneyu_utbln13n30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.750000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.455999e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.678434e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.995491e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.078100e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.705220e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.258739e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.671526e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.185458e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.507764e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.411446e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.044355e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.285765e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.345282e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.066940e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.962037e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.723644e-07, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 13, 100) *************************************************************************/ static double mannwhitneyu_utbln13n100(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.750000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.446787e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.640804e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.671552e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.364990e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.274444e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.047440e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.161439e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.171729e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.562171e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.359762e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.275494e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.747635e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.700292e-08, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.565559e-09, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 5.005396e-09, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 3.335794e-09, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 14, 14) *************************************************************************/ static double mannwhitneyu_utbln14n14(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.750000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.510624e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.798584e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.087107e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.478532e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.098050e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.855986e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.409083e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.299536e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.176177e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.479417e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.812761e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -5.225872e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 4.516521e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 6.730551e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 9.237563e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.611820e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 14, 15) *************************************************************************/ static double mannwhitneyu_utbln14n15(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.750000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.498681e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.774668e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.070267e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.399348e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.807239e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.845763e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.071773e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.261698e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.011695e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.305946e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.879295e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.999439e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.904438e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.944986e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.373908e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.140794e-05, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 14, 30) *************************************************************************/ static double mannwhitneyu_utbln14n30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.750000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.440378e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.649587e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.807829e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.989753e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.463646e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.586580e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -6.745917e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.635398e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.923172e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.446699e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.613892e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.214073e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.651683e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.272777e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.464988e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.109803e-07, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, 14, 100) *************************************************************************/ static double mannwhitneyu_utbln14n100(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); x = ae_minreal(2*(s-0.000000e+00)/3.750000e+00-1, 1.0, _state); tj = (double)(1); tj1 = x; mannwhitneyu_ucheb(x, -4.429701e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -4.610577e+00, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -9.482675e-01, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.605550e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.062151e-02, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.525154e-03, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.835983e-04, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -8.411440e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.744901e-05, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.318850e-06, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.692100e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -1.536270e-07, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -3.705888e-08, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -7.999599e-09, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, -2.908395e-09, &tj, &tj1, &result, _state); mannwhitneyu_ucheb(x, 1.546923e-09, &tj, &tj1, &result, _state); return result; } /************************************************************************* Tail(S, N1, N2) *************************************************************************/ static double mannwhitneyu_usigma(double s, ae_int_t n1, ae_int_t n2, ae_state *_state) { double f0; double f1; double f2; double f3; double f4; double s0; double s1; double s2; double s3; double s4; double result; result = (double)(0); /* * N1=5, N2 = 5, 6, 7, ... */ if( ae_minint(n1, n2, _state)==5 ) { if( ae_maxint(n1, n2, _state)==5 ) { result = mannwhitneyu_utbln5n5(s, _state); } if( ae_maxint(n1, n2, _state)==6 ) { result = mannwhitneyu_utbln5n6(s, _state); } if( ae_maxint(n1, n2, _state)==7 ) { result = mannwhitneyu_utbln5n7(s, _state); } if( ae_maxint(n1, n2, _state)==8 ) { result = mannwhitneyu_utbln5n8(s, _state); } if( ae_maxint(n1, n2, _state)==9 ) { result = mannwhitneyu_utbln5n9(s, _state); } if( ae_maxint(n1, n2, _state)==10 ) { result = mannwhitneyu_utbln5n10(s, _state); } if( ae_maxint(n1, n2, _state)==11 ) { result = mannwhitneyu_utbln5n11(s, _state); } if( ae_maxint(n1, n2, _state)==12 ) { result = mannwhitneyu_utbln5n12(s, _state); } if( ae_maxint(n1, n2, _state)==13 ) { result = mannwhitneyu_utbln5n13(s, _state); } if( ae_maxint(n1, n2, _state)==14 ) { result = mannwhitneyu_utbln5n14(s, _state); } if( ae_maxint(n1, n2, _state)==15 ) { result = mannwhitneyu_utbln5n15(s, _state); } if( ae_maxint(n1, n2, _state)==16 ) { result = mannwhitneyu_utbln5n16(s, _state); } if( ae_maxint(n1, n2, _state)==17 ) { result = mannwhitneyu_utbln5n17(s, _state); } if( ae_maxint(n1, n2, _state)==18 ) { result = mannwhitneyu_utbln5n18(s, _state); } if( ae_maxint(n1, n2, _state)==19 ) { result = mannwhitneyu_utbln5n19(s, _state); } if( ae_maxint(n1, n2, _state)==20 ) { result = mannwhitneyu_utbln5n20(s, _state); } if( ae_maxint(n1, n2, _state)==21 ) { result = mannwhitneyu_utbln5n21(s, _state); } if( ae_maxint(n1, n2, _state)==22 ) { result = mannwhitneyu_utbln5n22(s, _state); } if( ae_maxint(n1, n2, _state)==23 ) { result = mannwhitneyu_utbln5n23(s, _state); } if( ae_maxint(n1, n2, _state)==24 ) { result = mannwhitneyu_utbln5n24(s, _state); } if( ae_maxint(n1, n2, _state)==25 ) { result = mannwhitneyu_utbln5n25(s, _state); } if( ae_maxint(n1, n2, _state)==26 ) { result = mannwhitneyu_utbln5n26(s, _state); } if( ae_maxint(n1, n2, _state)==27 ) { result = mannwhitneyu_utbln5n27(s, _state); } if( ae_maxint(n1, n2, _state)==28 ) { result = mannwhitneyu_utbln5n28(s, _state); } if( ae_maxint(n1, n2, _state)==29 ) { result = mannwhitneyu_utbln5n29(s, _state); } if( ae_maxint(n1, n2, _state)>29 ) { f0 = mannwhitneyu_utbln5n15(s, _state); f1 = mannwhitneyu_utbln5n30(s, _state); f2 = mannwhitneyu_utbln5n100(s, _state); result = mannwhitneyu_uninterpolate(f0, f1, f2, ae_maxint(n1, n2, _state), _state); } return result; } /* * N1=6, N2 = 6, 7, 8, ... */ if( ae_minint(n1, n2, _state)==6 ) { if( ae_maxint(n1, n2, _state)==6 ) { result = mannwhitneyu_utbln6n6(s, _state); } if( ae_maxint(n1, n2, _state)==7 ) { result = mannwhitneyu_utbln6n7(s, _state); } if( ae_maxint(n1, n2, _state)==8 ) { result = mannwhitneyu_utbln6n8(s, _state); } if( ae_maxint(n1, n2, _state)==9 ) { result = mannwhitneyu_utbln6n9(s, _state); } if( ae_maxint(n1, n2, _state)==10 ) { result = mannwhitneyu_utbln6n10(s, _state); } if( ae_maxint(n1, n2, _state)==11 ) { result = mannwhitneyu_utbln6n11(s, _state); } if( ae_maxint(n1, n2, _state)==12 ) { result = mannwhitneyu_utbln6n12(s, _state); } if( ae_maxint(n1, n2, _state)==13 ) { result = mannwhitneyu_utbln6n13(s, _state); } if( ae_maxint(n1, n2, _state)==14 ) { result = mannwhitneyu_utbln6n14(s, _state); } if( ae_maxint(n1, n2, _state)==15 ) { result = mannwhitneyu_utbln6n15(s, _state); } if( ae_maxint(n1, n2, _state)>15 ) { f0 = mannwhitneyu_utbln6n15(s, _state); f1 = mannwhitneyu_utbln6n30(s, _state); f2 = mannwhitneyu_utbln6n100(s, _state); result = mannwhitneyu_uninterpolate(f0, f1, f2, ae_maxint(n1, n2, _state), _state); } return result; } /* * N1=7, N2 = 7, 8, ... */ if( ae_minint(n1, n2, _state)==7 ) { if( ae_maxint(n1, n2, _state)==7 ) { result = mannwhitneyu_utbln7n7(s, _state); } if( ae_maxint(n1, n2, _state)==8 ) { result = mannwhitneyu_utbln7n8(s, _state); } if( ae_maxint(n1, n2, _state)==9 ) { result = mannwhitneyu_utbln7n9(s, _state); } if( ae_maxint(n1, n2, _state)==10 ) { result = mannwhitneyu_utbln7n10(s, _state); } if( ae_maxint(n1, n2, _state)==11 ) { result = mannwhitneyu_utbln7n11(s, _state); } if( ae_maxint(n1, n2, _state)==12 ) { result = mannwhitneyu_utbln7n12(s, _state); } if( ae_maxint(n1, n2, _state)==13 ) { result = mannwhitneyu_utbln7n13(s, _state); } if( ae_maxint(n1, n2, _state)==14 ) { result = mannwhitneyu_utbln7n14(s, _state); } if( ae_maxint(n1, n2, _state)==15 ) { result = mannwhitneyu_utbln7n15(s, _state); } if( ae_maxint(n1, n2, _state)>15 ) { f0 = mannwhitneyu_utbln7n15(s, _state); f1 = mannwhitneyu_utbln7n30(s, _state); f2 = mannwhitneyu_utbln7n100(s, _state); result = mannwhitneyu_uninterpolate(f0, f1, f2, ae_maxint(n1, n2, _state), _state); } return result; } /* * N1=8, N2 = 8, 9, 10, ... */ if( ae_minint(n1, n2, _state)==8 ) { if( ae_maxint(n1, n2, _state)==8 ) { result = mannwhitneyu_utbln8n8(s, _state); } if( ae_maxint(n1, n2, _state)==9 ) { result = mannwhitneyu_utbln8n9(s, _state); } if( ae_maxint(n1, n2, _state)==10 ) { result = mannwhitneyu_utbln8n10(s, _state); } if( ae_maxint(n1, n2, _state)==11 ) { result = mannwhitneyu_utbln8n11(s, _state); } if( ae_maxint(n1, n2, _state)==12 ) { result = mannwhitneyu_utbln8n12(s, _state); } if( ae_maxint(n1, n2, _state)==13 ) { result = mannwhitneyu_utbln8n13(s, _state); } if( ae_maxint(n1, n2, _state)==14 ) { result = mannwhitneyu_utbln8n14(s, _state); } if( ae_maxint(n1, n2, _state)==15 ) { result = mannwhitneyu_utbln8n15(s, _state); } if( ae_maxint(n1, n2, _state)>15 ) { f0 = mannwhitneyu_utbln8n15(s, _state); f1 = mannwhitneyu_utbln8n30(s, _state); f2 = mannwhitneyu_utbln8n100(s, _state); result = mannwhitneyu_uninterpolate(f0, f1, f2, ae_maxint(n1, n2, _state), _state); } return result; } /* * N1=9, N2 = 9, 10, ... */ if( ae_minint(n1, n2, _state)==9 ) { if( ae_maxint(n1, n2, _state)==9 ) { result = mannwhitneyu_utbln9n9(s, _state); } if( ae_maxint(n1, n2, _state)==10 ) { result = mannwhitneyu_utbln9n10(s, _state); } if( ae_maxint(n1, n2, _state)==11 ) { result = mannwhitneyu_utbln9n11(s, _state); } if( ae_maxint(n1, n2, _state)==12 ) { result = mannwhitneyu_utbln9n12(s, _state); } if( ae_maxint(n1, n2, _state)==13 ) { result = mannwhitneyu_utbln9n13(s, _state); } if( ae_maxint(n1, n2, _state)==14 ) { result = mannwhitneyu_utbln9n14(s, _state); } if( ae_maxint(n1, n2, _state)==15 ) { result = mannwhitneyu_utbln9n15(s, _state); } if( ae_maxint(n1, n2, _state)>15 ) { f0 = mannwhitneyu_utbln9n15(s, _state); f1 = mannwhitneyu_utbln9n30(s, _state); f2 = mannwhitneyu_utbln9n100(s, _state); result = mannwhitneyu_uninterpolate(f0, f1, f2, ae_maxint(n1, n2, _state), _state); } return result; } /* * N1=10, N2 = 10, 11, ... */ if( ae_minint(n1, n2, _state)==10 ) { if( ae_maxint(n1, n2, _state)==10 ) { result = mannwhitneyu_utbln10n10(s, _state); } if( ae_maxint(n1, n2, _state)==11 ) { result = mannwhitneyu_utbln10n11(s, _state); } if( ae_maxint(n1, n2, _state)==12 ) { result = mannwhitneyu_utbln10n12(s, _state); } if( ae_maxint(n1, n2, _state)==13 ) { result = mannwhitneyu_utbln10n13(s, _state); } if( ae_maxint(n1, n2, _state)==14 ) { result = mannwhitneyu_utbln10n14(s, _state); } if( ae_maxint(n1, n2, _state)==15 ) { result = mannwhitneyu_utbln10n15(s, _state); } if( ae_maxint(n1, n2, _state)>15 ) { f0 = mannwhitneyu_utbln10n15(s, _state); f1 = mannwhitneyu_utbln10n30(s, _state); f2 = mannwhitneyu_utbln10n100(s, _state); result = mannwhitneyu_uninterpolate(f0, f1, f2, ae_maxint(n1, n2, _state), _state); } return result; } /* * N1=11, N2 = 11, 12, ... */ if( ae_minint(n1, n2, _state)==11 ) { if( ae_maxint(n1, n2, _state)==11 ) { result = mannwhitneyu_utbln11n11(s, _state); } if( ae_maxint(n1, n2, _state)==12 ) { result = mannwhitneyu_utbln11n12(s, _state); } if( ae_maxint(n1, n2, _state)==13 ) { result = mannwhitneyu_utbln11n13(s, _state); } if( ae_maxint(n1, n2, _state)==14 ) { result = mannwhitneyu_utbln11n14(s, _state); } if( ae_maxint(n1, n2, _state)==15 ) { result = mannwhitneyu_utbln11n15(s, _state); } if( ae_maxint(n1, n2, _state)>15 ) { f0 = mannwhitneyu_utbln11n15(s, _state); f1 = mannwhitneyu_utbln11n30(s, _state); f2 = mannwhitneyu_utbln11n100(s, _state); result = mannwhitneyu_uninterpolate(f0, f1, f2, ae_maxint(n1, n2, _state), _state); } return result; } /* * N1=12, N2 = 12, 13, ... */ if( ae_minint(n1, n2, _state)==12 ) { if( ae_maxint(n1, n2, _state)==12 ) { result = mannwhitneyu_utbln12n12(s, _state); } if( ae_maxint(n1, n2, _state)==13 ) { result = mannwhitneyu_utbln12n13(s, _state); } if( ae_maxint(n1, n2, _state)==14 ) { result = mannwhitneyu_utbln12n14(s, _state); } if( ae_maxint(n1, n2, _state)==15 ) { result = mannwhitneyu_utbln12n15(s, _state); } if( ae_maxint(n1, n2, _state)>15 ) { f0 = mannwhitneyu_utbln12n15(s, _state); f1 = mannwhitneyu_utbln12n30(s, _state); f2 = mannwhitneyu_utbln12n100(s, _state); result = mannwhitneyu_uninterpolate(f0, f1, f2, ae_maxint(n1, n2, _state), _state); } return result; } /* * N1=13, N2 = 13, 14, ... */ if( ae_minint(n1, n2, _state)==13 ) { if( ae_maxint(n1, n2, _state)==13 ) { result = mannwhitneyu_utbln13n13(s, _state); } if( ae_maxint(n1, n2, _state)==14 ) { result = mannwhitneyu_utbln13n14(s, _state); } if( ae_maxint(n1, n2, _state)==15 ) { result = mannwhitneyu_utbln13n15(s, _state); } if( ae_maxint(n1, n2, _state)>15 ) { f0 = mannwhitneyu_utbln13n15(s, _state); f1 = mannwhitneyu_utbln13n30(s, _state); f2 = mannwhitneyu_utbln13n100(s, _state); result = mannwhitneyu_uninterpolate(f0, f1, f2, ae_maxint(n1, n2, _state), _state); } return result; } /* * N1=14, N2 = 14, 15, ... */ if( ae_minint(n1, n2, _state)==14 ) { if( ae_maxint(n1, n2, _state)==14 ) { result = mannwhitneyu_utbln14n14(s, _state); } if( ae_maxint(n1, n2, _state)==15 ) { result = mannwhitneyu_utbln14n15(s, _state); } if( ae_maxint(n1, n2, _state)>15 ) { f0 = mannwhitneyu_utbln14n15(s, _state); f1 = mannwhitneyu_utbln14n30(s, _state); f2 = mannwhitneyu_utbln14n100(s, _state); result = mannwhitneyu_uninterpolate(f0, f1, f2, ae_maxint(n1, n2, _state), _state); } return result; } /* * N1 >= 15, N2 >= 15 */ if( ae_fp_greater(s,(double)(4)) ) { s = (double)(4); } if( ae_fp_less(s,(double)(3)) ) { s0 = 0.000000e+00; f0 = mannwhitneyu_usigma000(n1, n2, _state); s1 = 7.500000e-01; f1 = mannwhitneyu_usigma075(n1, n2, _state); s2 = 1.500000e+00; f2 = mannwhitneyu_usigma150(n1, n2, _state); s3 = 2.250000e+00; f3 = mannwhitneyu_usigma225(n1, n2, _state); s4 = 3.000000e+00; f4 = mannwhitneyu_usigma300(n1, n2, _state); f1 = ((s-s0)*f1-(s-s1)*f0)/(s1-s0); f2 = ((s-s0)*f2-(s-s2)*f0)/(s2-s0); f3 = ((s-s0)*f3-(s-s3)*f0)/(s3-s0); f4 = ((s-s0)*f4-(s-s4)*f0)/(s4-s0); f2 = ((s-s1)*f2-(s-s2)*f1)/(s2-s1); f3 = ((s-s1)*f3-(s-s3)*f1)/(s3-s1); f4 = ((s-s1)*f4-(s-s4)*f1)/(s4-s1); f3 = ((s-s2)*f3-(s-s3)*f2)/(s3-s2); f4 = ((s-s2)*f4-(s-s4)*f2)/(s4-s2); f4 = ((s-s3)*f4-(s-s4)*f3)/(s4-s3); result = f4; } else { s0 = 3.000000e+00; f0 = mannwhitneyu_usigma300(n1, n2, _state); s1 = 3.333333e+00; f1 = mannwhitneyu_usigma333(n1, n2, _state); s2 = 3.666667e+00; f2 = mannwhitneyu_usigma367(n1, n2, _state); s3 = 4.000000e+00; f3 = mannwhitneyu_usigma400(n1, n2, _state); f1 = ((s-s0)*f1-(s-s1)*f0)/(s1-s0); f2 = ((s-s0)*f2-(s-s2)*f0)/(s2-s0); f3 = ((s-s0)*f3-(s-s3)*f0)/(s3-s0); f2 = ((s-s1)*f2-(s-s2)*f1)/(s2-s1); f3 = ((s-s1)*f3-(s-s3)*f1)/(s3-s1); f3 = ((s-s2)*f3-(s-s3)*f2)/(s3-s2); result = f3; } return result; } #endif #if defined(AE_COMPILE_JARQUEBERA) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Jarque-Bera test This test checks hypotheses about the fact that a given sample X is a sample of normal random variable. Requirements: * the number of elements in the sample is not less than 5. Input parameters: X - sample. Array whose index goes from 0 to N-1. N - size of the sample. N>=5 Output parameters: P - p-value for the test Accuracy of the approximation used (5<=N<=1951): p-value relative error (5<=N<=1951) [1, 0.1] < 1% [0.1, 0.01] < 2% [0.01, 0.001] < 6% [0.001, 0] wasn't measured For N>1951 accuracy wasn't measured but it shouldn't be sharply different from table values. -- ALGLIB -- Copyright 09.04.2007 by Bochkanov Sergey *************************************************************************/ void jarqueberatest(/* Real */ ae_vector* x, ae_int_t n, double* p, ae_state *_state) { double s; *p = 0; /* * N is too small */ if( n<5 ) { *p = 1.0; return; } /* * N is large enough */ jarquebera_jarqueberastatistic(x, n, &s, _state); *p = jarquebera_jarqueberaapprox(n, s, _state); } static void jarquebera_jarqueberastatistic(/* Real */ ae_vector* x, ae_int_t n, double* s, ae_state *_state) { ae_int_t i; double v; double v1; double v2; double stddev; double mean; double variance; double skewness; double kurtosis; *s = 0; mean = (double)(0); variance = (double)(0); skewness = (double)(0); kurtosis = (double)(0); stddev = (double)(0); ae_assert(n>1, "Assertion failed", _state); /* * Mean */ for(i=0; i<=n-1; i++) { mean = mean+x->ptr.p_double[i]; } mean = mean/n; /* * Variance (using corrected two-pass algorithm) */ if( n!=1 ) { v1 = (double)(0); for(i=0; i<=n-1; i++) { v1 = v1+ae_sqr(x->ptr.p_double[i]-mean, _state); } v2 = (double)(0); for(i=0; i<=n-1; i++) { v2 = v2+(x->ptr.p_double[i]-mean); } v2 = ae_sqr(v2, _state)/n; variance = (v1-v2)/(n-1); if( ae_fp_less(variance,(double)(0)) ) { variance = (double)(0); } stddev = ae_sqrt(variance, _state); } /* * Skewness and kurtosis */ if( ae_fp_neq(stddev,(double)(0)) ) { for(i=0; i<=n-1; i++) { v = (x->ptr.p_double[i]-mean)/stddev; v2 = ae_sqr(v, _state); skewness = skewness+v2*v; kurtosis = kurtosis+ae_sqr(v2, _state); } skewness = skewness/n; kurtosis = kurtosis/n-3; } /* * Statistic */ *s = (double)n/(double)6*(ae_sqr(skewness, _state)+ae_sqr(kurtosis, _state)/4); } static double jarquebera_jarqueberaapprox(ae_int_t n, double s, ae_state *_state) { ae_frame _frame_block; ae_vector vx; ae_vector vy; ae_matrix ctbl; double t1; double t2; double t3; double t; double f1; double f2; double f3; double f12; double f23; double x; double result; ae_frame_make(_state, &_frame_block); memset(&vx, 0, sizeof(vx)); memset(&vy, 0, sizeof(vy)); memset(&ctbl, 0, sizeof(ctbl)); ae_vector_init(&vx, 0, DT_REAL, _state, ae_true); ae_vector_init(&vy, 0, DT_REAL, _state, ae_true); ae_matrix_init(&ctbl, 0, 0, DT_REAL, _state, ae_true); result = (double)(1); x = s; if( n<5 ) { ae_frame_leave(_state); return result; } /* * N = 5..20 are tabulated */ if( n>=5&&n<=20 ) { if( n==5 ) { result = ae_exp(jarquebera_jbtbl5(x, _state), _state); } if( n==6 ) { result = ae_exp(jarquebera_jbtbl6(x, _state), _state); } if( n==7 ) { result = ae_exp(jarquebera_jbtbl7(x, _state), _state); } if( n==8 ) { result = ae_exp(jarquebera_jbtbl8(x, _state), _state); } if( n==9 ) { result = ae_exp(jarquebera_jbtbl9(x, _state), _state); } if( n==10 ) { result = ae_exp(jarquebera_jbtbl10(x, _state), _state); } if( n==11 ) { result = ae_exp(jarquebera_jbtbl11(x, _state), _state); } if( n==12 ) { result = ae_exp(jarquebera_jbtbl12(x, _state), _state); } if( n==13 ) { result = ae_exp(jarquebera_jbtbl13(x, _state), _state); } if( n==14 ) { result = ae_exp(jarquebera_jbtbl14(x, _state), _state); } if( n==15 ) { result = ae_exp(jarquebera_jbtbl15(x, _state), _state); } if( n==16 ) { result = ae_exp(jarquebera_jbtbl16(x, _state), _state); } if( n==17 ) { result = ae_exp(jarquebera_jbtbl17(x, _state), _state); } if( n==18 ) { result = ae_exp(jarquebera_jbtbl18(x, _state), _state); } if( n==19 ) { result = ae_exp(jarquebera_jbtbl19(x, _state), _state); } if( n==20 ) { result = ae_exp(jarquebera_jbtbl20(x, _state), _state); } ae_frame_leave(_state); return result; } /* * N = 20, 30, 50 are tabulated. * In-between values are interpolated * using interpolating polynomial of the second degree. */ if( n>20&&n<=50 ) { t1 = -1.0/20.0; t2 = -1.0/30.0; t3 = -1.0/50.0; t = -1.0/n; f1 = jarquebera_jbtbl20(x, _state); f2 = jarquebera_jbtbl30(x, _state); f3 = jarquebera_jbtbl50(x, _state); f12 = ((t-t2)*f1+(t1-t)*f2)/(t1-t2); f23 = ((t-t3)*f2+(t2-t)*f3)/(t2-t3); result = ((t-t3)*f12+(t1-t)*f23)/(t1-t3); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } result = ae_exp(result, _state); ae_frame_leave(_state); return result; } /* * N = 50, 65, 100 are tabulated. * In-between values are interpolated * using interpolating polynomial of the second degree. */ if( n>50&&n<=100 ) { t1 = -1.0/50.0; t2 = -1.0/65.0; t3 = -1.0/100.0; t = -1.0/n; f1 = jarquebera_jbtbl50(x, _state); f2 = jarquebera_jbtbl65(x, _state); f3 = jarquebera_jbtbl100(x, _state); f12 = ((t-t2)*f1+(t1-t)*f2)/(t1-t2); f23 = ((t-t3)*f2+(t2-t)*f3)/(t2-t3); result = ((t-t3)*f12+(t1-t)*f23)/(t1-t3); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } result = ae_exp(result, _state); ae_frame_leave(_state); return result; } /* * N = 100, 130, 200 are tabulated. * In-between values are interpolated * using interpolating polynomial of the second degree. */ if( n>100&&n<=200 ) { t1 = -1.0/100.0; t2 = -1.0/130.0; t3 = -1.0/200.0; t = -1.0/n; f1 = jarquebera_jbtbl100(x, _state); f2 = jarquebera_jbtbl130(x, _state); f3 = jarquebera_jbtbl200(x, _state); f12 = ((t-t2)*f1+(t1-t)*f2)/(t1-t2); f23 = ((t-t3)*f2+(t2-t)*f3)/(t2-t3); result = ((t-t3)*f12+(t1-t)*f23)/(t1-t3); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } result = ae_exp(result, _state); ae_frame_leave(_state); return result; } /* * N = 200, 301, 501 are tabulated. * In-between values are interpolated * using interpolating polynomial of the second degree. */ if( n>200&&n<=501 ) { t1 = -1.0/200.0; t2 = -1.0/301.0; t3 = -1.0/501.0; t = -1.0/n; f1 = jarquebera_jbtbl200(x, _state); f2 = jarquebera_jbtbl301(x, _state); f3 = jarquebera_jbtbl501(x, _state); f12 = ((t-t2)*f1+(t1-t)*f2)/(t1-t2); f23 = ((t-t3)*f2+(t2-t)*f3)/(t2-t3); result = ((t-t3)*f12+(t1-t)*f23)/(t1-t3); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } result = ae_exp(result, _state); ae_frame_leave(_state); return result; } /* * N = 501, 701, 1401 are tabulated. * In-between values are interpolated * using interpolating polynomial of the second degree. */ if( n>501&&n<=1401 ) { t1 = -1.0/501.0; t2 = -1.0/701.0; t3 = -1.0/1401.0; t = -1.0/n; f1 = jarquebera_jbtbl501(x, _state); f2 = jarquebera_jbtbl701(x, _state); f3 = jarquebera_jbtbl1401(x, _state); f12 = ((t-t2)*f1+(t1-t)*f2)/(t1-t2); f23 = ((t-t3)*f2+(t2-t)*f3)/(t2-t3); result = ((t-t3)*f12+(t1-t)*f23)/(t1-t3); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } result = ae_exp(result, _state); ae_frame_leave(_state); return result; } /* * Asymptotic expansion */ if( n>1401 ) { result = -0.5*x+(jarquebera_jbtbl1401(x, _state)+0.5*x)*ae_sqrt((double)1401/(double)n, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } result = ae_exp(result, _state); ae_frame_leave(_state); return result; } ae_frame_leave(_state); return result; } static double jarquebera_jbtbl5(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,0.4000) ) { x = 2*(s-0.000000)/0.400000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.097885e-20, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.854501e-20, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.756616e-20, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,1.1000) ) { x = 2*(s-0.400000)/0.700000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.324545e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.075941e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.772272e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.175686e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.576162e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.126861e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.434425e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.790359e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.809178e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.479704e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.717040e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.294170e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.880632e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.023344e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.601531e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.920403e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -5.188419e+02*(s-1.100000e+00)-4.767297e+00; return result; } static double jarquebera_jbtbl6(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,0.2500) ) { x = 2*(s-0.000000)/0.250000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -2.274707e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.700471e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.425764e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,1.3000) ) { x = 2*(s-0.250000)/1.050000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.339000e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.011104e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.168177e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.085666e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.738606e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.022876e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.462402e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.908270e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.230772e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.006996e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.410222e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.893768e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 8.114564e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,1.8500) ) { x = 2*(s-1.300000)/0.550000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.794311e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.578700e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.394664e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.928290e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.813273e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.076063e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.835380e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.013013e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.058903e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.856915e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.710887e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.770029e+02*(s-1.850000e+00)-1.371015e+01; return result; } static double jarquebera_jbtbl7(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,1.4000) ) { x = 2*(s-0.000000)/1.400000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.093681e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.695911e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.473192e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.203236e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.590379e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.291876e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.132007e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 9.411147e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.180067e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.487610e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.436561e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,3.0000) ) { x = 2*(s-1.400000)/1.600000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.947854e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.772675e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.707912e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.691171e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.132795e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.481310e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.867536e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 8.772327e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.033387e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.378277e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.497964e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.636814e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.581640e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,3.2000) ) { x = 2*(s-3.000000)/0.200000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -7.511008e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.140472e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.682053e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.568561e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.933930e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.140472e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.895025e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.140472e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.933930e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.568561e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.682053e+00, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.824116e+03*(s-3.200000e+00)-1.440330e+01; return result; } static double jarquebera_jbtbl8(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,1.3000) ) { x = 2*(s-0.000000)/1.300000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -7.199015e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.095921e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.736828e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.047438e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.484320e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.937923e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.810470e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.139780e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.708443e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,2.0000) ) { x = 2*(s-1.300000)/0.700000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -3.378966e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.802461e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.547593e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.241042e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.203274e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.201990e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.125597e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.584426e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.546069e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,5.0000) ) { x = 2*(s-2.000000)/3.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.828366e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.137533e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.016671e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.745637e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.189801e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.621610e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.741122e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.516368e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.552085e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.787029e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.359774e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -5.087028e+00*(s-5.000000e+00)-1.071300e+01; return result; } static double jarquebera_jbtbl9(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,1.3000) ) { x = 2*(s-0.000000)/1.300000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.279320e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.277151e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.669339e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.086149e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.333816e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.871249e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.007048e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.482245e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.355615e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,2.0000) ) { x = 2*(s-1.300000)/0.700000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -2.981430e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.972248e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.747737e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.808530e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.888305e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 9.001302e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.378767e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.108510e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.915372e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,7.0000) ) { x = 2*(s-2.000000)/5.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.387463e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.845231e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.809956e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.543461e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.880397e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.160074e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.356527e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.394428e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 9.619892e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.758763e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.790977e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -2.020952e+00*(s-7.000000e+00)-9.516623e+00; return result; } static double jarquebera_jbtbl10(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,1.2000) ) { x = 2*(s-0.000000)/1.200000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.590993e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.562730e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.353934e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.069933e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.849151e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 8.931406e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.636295e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.178340e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.917749e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,2.0000) ) { x = 2*(s-1.200000)/0.800000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -2.537658e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.962401e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.838715e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.055792e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.580316e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.781701e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.770362e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.838983e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.999052e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,7.0000) ) { x = 2*(s-2.000000)/5.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.337524e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.877029e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.734650e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.249254e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.320250e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.432266e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -8.711035e-01*(s-7.000000e+00)-7.212811e+00; return result; } static double jarquebera_jbtbl11(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,1.2000) ) { x = 2*(s-0.000000)/1.200000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.339517e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.051558e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.000992e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.022547e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.808401e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.592870e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.575081e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.086173e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.089011e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,2.2500) ) { x = 2*(s-1.200000)/1.050000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -2.523221e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.068388e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.179661e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.555524e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.238964e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.364320e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.895771e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.762774e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.201340e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,8.0000) ) { x = 2*(s-2.250000)/5.750000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.212179e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.684579e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 8.299519e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.606261e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.310869e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.320115e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -5.715445e-01*(s-8.000000e+00)-6.845834e+00; return result; } static double jarquebera_jbtbl12(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,1.0000) ) { x = 2*(s-0.000000)/1.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -2.736742e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.657836e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.047209e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.319599e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.545631e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 9.280445e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.815679e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.213519e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.256838e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,3.0000) ) { x = 2*(s-1.000000)/2.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -2.573947e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.515287e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.611880e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.271311e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.495815e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.141186e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.180886e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.388211e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.890761e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.233175e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.946156e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,12.0000) ) { x = 2*(s-3.000000)/9.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.947819e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.034157e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.878986e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.078603e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.990977e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.866215e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.897866e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.512252e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.073743e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.022621e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.501343e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -2.877243e-01*(s-1.200000e+01)-7.936839e+00; return result; } static double jarquebera_jbtbl13(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,1.0000) ) { x = 2*(s-0.000000)/1.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -2.713276e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.557541e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.459092e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.044145e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.546132e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.002374e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.349456e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.025669e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.590242e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,3.0000) ) { x = 2*(s-1.000000)/2.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -2.454383e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.467539e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.270774e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.075763e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.611647e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.990785e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 8.109212e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.135031e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.915919e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.522390e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.144701e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,13.0000) ) { x = 2*(s-3.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.736127e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.920809e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.175858e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.002049e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.158966e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.157781e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.762172e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.780347e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.193310e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.442421e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.547756e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -2.799944e-01*(s-1.300000e+01)-7.566269e+00; return result; } static double jarquebera_jbtbl14(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,1.0000) ) { x = 2*(s-0.000000)/1.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -2.698527e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.479081e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.640733e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.466899e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.469485e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.150009e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.965975e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.710210e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.327808e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,3.0000) ) { x = 2*(s-1.000000)/2.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -2.350359e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.421365e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.960468e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.149167e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.361109e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.976022e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.082700e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.563328e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.453123e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.917559e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.151067e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-3.000000)/12.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.746892e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.010441e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.566146e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.129690e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.929724e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.524227e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.192933e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.254730e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.620685e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.289618e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.112350e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -2.590621e-01*(s-1.500000e+01)-7.632238e+00; return result; } static double jarquebera_jbtbl15(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,2.0000) ) { x = 2*(s-0.000000)/2.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.043660e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.361653e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.009497e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.951784e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.377903e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.003253e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.271309e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,5.0000) ) { x = 2*(s-2.000000)/3.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -3.582778e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.349578e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 9.476514e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.717385e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.222591e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.635124e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.815993e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,17.0000) ) { x = 2*(s-5.000000)/12.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.115476e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.655936e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 8.404310e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.663794e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 8.868618e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.381447e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 9.444801e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.581503e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.468696e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.728509e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.206470e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.927937e-01*(s-1.700000e+01)-7.700983e+00; return result; } static double jarquebera_jbtbl16(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,2.0000) ) { x = 2*(s-0.000000)/2.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.002570e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.298141e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.832803e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.877026e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.539436e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 8.439658e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.756911e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,5.0000) ) { x = 2*(s-2.000000)/3.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -3.486198e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.242944e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.020002e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.130531e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.512373e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.054876e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.556839e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,20.0000) ) { x = 2*(s-5.000000)/15.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.241608e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.832655e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.340545e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.361143e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.283219e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.484549e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.805968e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.057243e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.454439e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.177513e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.819209e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -2.391580e-01*(s-2.000000e+01)-7.963205e+00; return result; } static double jarquebera_jbtbl17(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,3.0000) ) { x = 2*(s-0.000000)/3.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.566973e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.810330e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.840039e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.337294e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.383549e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.556515e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.656965e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.404569e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.447867e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,6.0000) ) { x = 2*(s-3.000000)/3.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -3.905684e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.222920e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.146667e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.809176e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.057028e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.211838e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.099683e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.161105e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.225465e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,24.0000) ) { x = 2*(s-6.000000)/18.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.594282e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.917838e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.455980e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.999589e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.604263e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.484445e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.819937e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.930390e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.771761e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.232581e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.029083e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -2.127771e-01*(s-2.400000e+01)-8.400197e+00; return result; } static double jarquebera_jbtbl18(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,3.0000) ) { x = 2*(s-0.000000)/3.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.526802e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.762373e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.598890e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.189437e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.971721e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.823067e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.064501e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.014932e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.953513e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,6.0000) ) { x = 2*(s-3.000000)/3.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -3.818669e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.070918e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.277196e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.879817e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.887357e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.638451e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.502800e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.165796e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.034960e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,20.0000) ) { x = 2*(s-6.000000)/14.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.010656e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.496296e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.002227e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.338250e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.137036e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.586202e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.736384e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.332251e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.877982e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.160963e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.547247e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.684623e-01*(s-2.000000e+01)-7.428883e+00; return result; } static double jarquebera_jbtbl19(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,3.0000) ) { x = 2*(s-0.000000)/3.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.490213e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.719633e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.459123e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.034878e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.113868e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.030922e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.054022e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.525623e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.277360e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,6.0000) ) { x = 2*(s-3.000000)/3.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -3.744750e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.977749e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.223716e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.363889e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.711774e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.557257e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.254794e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 9.034207e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.498107e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,20.0000) ) { x = 2*(s-6.000000)/14.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.872768e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.430689e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.136575e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.726627e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.421110e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.581510e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.559520e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.838208e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 8.428839e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.170682e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.006647e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.539373e-01*(s-2.000000e+01)-7.206941e+00; return result; } static double jarquebera_jbtbl20(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,4.0000) ) { x = 2*(s-0.000000)/4.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.854794e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.948947e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.632184e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.139397e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.006237e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.810031e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.573620e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 9.951242e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.274092e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.464196e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.882139e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.575144e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.822804e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.061348e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.908404e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.978353e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-4.000000)/11.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.030989e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.327151e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.346404e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.840051e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.578551e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.813886e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.905973e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.358489e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.450795e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.941157e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.432418e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.070537e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 9.375654e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.367378e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 9.890859e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.679782e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,25.0000) ) { x = 2*(s-15.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -7.015854e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.487737e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.244254e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.318007e-01*(s-2.500000e+01)-7.742185e+00; return result; } static double jarquebera_jbtbl30(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,4.0000) ) { x = 2*(s-0.000000)/4.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.630822e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.724298e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.872756e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.658268e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.573597e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.994157e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.994825e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.394303e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.785029e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.990264e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.037838e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.755546e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.774473e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.821395e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.392603e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.353313e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-4.000000)/11.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.539322e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.197018e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.396848e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.804293e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.867928e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.768758e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.211792e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.925799e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.046235e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.536469e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.489642e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,25.0000) ) { x = 2*(s-15.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.263462e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.177316e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.590637e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.028212e-01*(s-2.500000e+01)-6.855288e+00; return result; } static double jarquebera_jbtbl50(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,4.0000) ) { x = 2*(s-0.000000)/4.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.436279e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.519711e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.148699e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.001204e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.207620e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.034778e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.220322e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.033260e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.588280e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.851653e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.287733e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-4.000000)/11.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.234645e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.189127e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.429738e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.058822e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 9.086776e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.445783e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.311671e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.261298e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.496987e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.605249e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 8.162282e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,25.0000) ) { x = 2*(s-15.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.921095e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.888603e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.080113e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -9.313116e-02*(s-2.500000e+01)-6.479154e+00; return result; } static double jarquebera_jbtbl65(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,4.0000) ) { x = 2*(s-0.000000)/4.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.360024e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.434631e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.514580e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 7.332038e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.158197e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.121233e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.051056e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-4.000000)/11.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.148601e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.214233e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.487977e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.424720e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.116715e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.043152e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.718149e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.313701e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.097305e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.181031e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.256975e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,25.0000) ) { x = 2*(s-15.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.858951e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.895179e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.933237e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -9.443768e-02*(s-2.500000e+01)-6.419137e+00; return result; } static double jarquebera_jbtbl100(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,4.0000) ) { x = 2*(s-0.000000)/4.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.257021e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.313418e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.628931e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.264287e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.518487e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.499826e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.836044e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-4.000000)/11.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.056508e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.279690e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.665746e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.290012e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.487632e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.704465e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.211669e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,25.0000) ) { x = 2*(s-15.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.866099e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.399767e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.498208e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.080097e-01*(s-2.500000e+01)-6.481094e+00; return result; } static double jarquebera_jbtbl130(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,4.0000) ) { x = 2*(s-0.000000)/4.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.207999e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.253864e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.618032e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.112729e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.210546e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.732602e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.410527e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-4.000000)/11.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.026324e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.331990e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.779129e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.674749e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.669077e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.679136e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 8.833221e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,25.0000) ) { x = 2*(s-15.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -5.893951e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.475304e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.116734e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.045722e-01*(s-2.500000e+01)-6.510314e+00; return result; } static double jarquebera_jbtbl200(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,4.0000) ) { x = 2*(s-0.000000)/4.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.146155e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.177398e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.297970e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.869745e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.717288e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.982108e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.427636e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-4.000000)/11.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.034235e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.455006e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.942996e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.973795e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.418812e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.156778e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.896705e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,25.0000) ) { x = 2*(s-15.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.086071e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.152176e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.725393e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.132404e-01*(s-2.500000e+01)-6.764034e+00; return result; } static double jarquebera_jbtbl301(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,4.0000) ) { x = 2*(s-0.000000)/4.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.104290e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.125800e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.595847e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.219666e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.502210e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.414543e-05, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.754115e-05, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-4.000000)/11.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.065955e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.582060e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.004472e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -4.709092e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.105779e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.197391e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.386780e-04, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,25.0000) ) { x = 2*(s-15.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.311384e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.918763e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.626584e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.293626e-01*(s-2.500000e+01)-7.066995e+00; return result; } static double jarquebera_jbtbl501(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,4.0000) ) { x = 2*(s-0.000000)/4.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.067426e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.079765e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -5.463005e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 6.875659e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-4.000000)/11.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.127574e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.740694e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.044502e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.746714e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 3.810594e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.197111e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,25.0000) ) { x = 2*(s-15.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.628194e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -8.846221e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.386405e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.418332e-01*(s-2.500000e+01)-7.468952e+00; return result; } static double jarquebera_jbtbl701(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,4.0000) ) { x = 2*(s-0.000000)/4.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.050999e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.059769e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -3.922680e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 4.847054e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-4.000000)/11.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.192182e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.860007e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.963942e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.838711e-02, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.893112e-04, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.159788e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,25.0000) ) { x = 2*(s-15.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -6.917851e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -9.817020e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.383727e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -1.532706e-01*(s-2.500000e+01)-7.845715e+00; return result; } static double jarquebera_jbtbl1401(double s, ae_state *_state) { double x; double tj; double tj1; double result; result = (double)(0); if( ae_fp_less_eq(s,4.0000) ) { x = 2*(s-0.000000)/4.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -1.026266e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.030061e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.259222e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 2.536254e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,15.0000) ) { x = 2*(s-4.000000)/11.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -4.329849e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -2.095443e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 1.759363e-01, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -7.751359e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -6.124368e-03, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.793114e-03, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } if( ae_fp_less_eq(s,25.0000) ) { x = 2*(s-15.000000)/10.000000-1; tj = (double)(1); tj1 = x; jarquebera_jbcheb(x, -7.544330e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, -1.225382e+00, &tj, &tj1, &result, _state); jarquebera_jbcheb(x, 5.392349e-02, &tj, &tj1, &result, _state); if( ae_fp_greater(result,(double)(0)) ) { result = (double)(0); } return result; } result = -2.019375e-01*(s-2.500000e+01)-8.715788e+00; return result; } static void jarquebera_jbcheb(double x, double c, double* tj, double* tj1, double* r, ae_state *_state) { double t; *r = *r+c*(*tj); t = 2*x*(*tj1)-(*tj); *tj = *tj1; *tj1 = t; } #endif #if defined(AE_COMPILE_VARIANCETESTS) || !defined(AE_PARTIAL_BUILD) /************************************************************************* Two-sample F-test This test checks three hypotheses about dispersions of the given samples. The following tests are performed: * two-tailed test (null hypothesis - the dispersions are equal) * left-tailed test (null hypothesis - the dispersion of the first sample is greater than or equal to the dispersion of the second sample). * right-tailed test (null hypothesis - the dispersion of the first sample is less than or equal to the dispersion of the second sample) The test is based on the following assumptions: * the given samples have normal distributions * the samples are independent. Input parameters: X - sample 1. Array whose index goes from 0 to N-1. N - sample size. Y - sample 2. Array whose index goes from 0 to M-1. M - sample size. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. -- ALGLIB -- Copyright 19.09.2006 by Bochkanov Sergey *************************************************************************/ void ftest(/* Real */ ae_vector* x, ae_int_t n, /* Real */ ae_vector* y, ae_int_t m, double* bothtails, double* lefttail, double* righttail, ae_state *_state) { ae_int_t i; double xmean; double ymean; double xvar; double yvar; ae_int_t df1; ae_int_t df2; double stat; *bothtails = 0; *lefttail = 0; *righttail = 0; if( n<=2||m<=2 ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; return; } /* * Mean */ xmean = (double)(0); for(i=0; i<=n-1; i++) { xmean = xmean+x->ptr.p_double[i]; } xmean = xmean/n; ymean = (double)(0); for(i=0; i<=m-1; i++) { ymean = ymean+y->ptr.p_double[i]; } ymean = ymean/m; /* * Variance (using corrected two-pass algorithm) */ xvar = (double)(0); for(i=0; i<=n-1; i++) { xvar = xvar+ae_sqr(x->ptr.p_double[i]-xmean, _state); } xvar = xvar/(n-1); yvar = (double)(0); for(i=0; i<=m-1; i++) { yvar = yvar+ae_sqr(y->ptr.p_double[i]-ymean, _state); } yvar = yvar/(m-1); if( ae_fp_eq(xvar,(double)(0))||ae_fp_eq(yvar,(double)(0)) ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; return; } /* * Statistic */ df1 = n-1; df2 = m-1; stat = ae_minreal(xvar/yvar, yvar/xvar, _state); *bothtails = 1-(fdistribution(df1, df2, 1/stat, _state)-fdistribution(df1, df2, stat, _state)); *lefttail = fdistribution(df1, df2, xvar/yvar, _state); *righttail = 1-(*lefttail); } /************************************************************************* One-sample chi-square test This test checks three hypotheses about the dispersion of the given sample The following tests are performed: * two-tailed test (null hypothesis - the dispersion equals the given number) * left-tailed test (null hypothesis - the dispersion is greater than or equal to the given number) * right-tailed test (null hypothesis - dispersion is less than or equal to the given number). Test is based on the following assumptions: * the given sample has a normal distribution. Input parameters: X - sample 1. Array whose index goes from 0 to N-1. N - size of the sample. Variance - dispersion value to compare with. Output parameters: BothTails - p-value for two-tailed test. If BothTails is less than the given significance level the null hypothesis is rejected. LeftTail - p-value for left-tailed test. If LeftTail is less than the given significance level, the null hypothesis is rejected. RightTail - p-value for right-tailed test. If RightTail is less than the given significance level the null hypothesis is rejected. -- ALGLIB -- Copyright 19.09.2006 by Bochkanov Sergey *************************************************************************/ void onesamplevariancetest(/* Real */ ae_vector* x, ae_int_t n, double variance, double* bothtails, double* lefttail, double* righttail, ae_state *_state) { ae_int_t i; double xmean; double xvar; double s; double stat; *bothtails = 0; *lefttail = 0; *righttail = 0; if( n<=1 ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; return; } /* * Mean */ xmean = (double)(0); for(i=0; i<=n-1; i++) { xmean = xmean+x->ptr.p_double[i]; } xmean = xmean/n; /* * Variance */ xvar = (double)(0); for(i=0; i<=n-1; i++) { xvar = xvar+ae_sqr(x->ptr.p_double[i]-xmean, _state); } xvar = xvar/(n-1); if( ae_fp_eq(xvar,(double)(0)) ) { *bothtails = 1.0; *lefttail = 1.0; *righttail = 1.0; return; } /* * Statistic */ stat = (n-1)*xvar/variance; s = chisquaredistribution((double)(n-1), stat, _state); *bothtails = 2*ae_minreal(s, 1-s, _state); *lefttail = s; *righttail = 1-(*lefttail); } #endif }