From 7ce331c01ce6eb7b3f5c715a38a24359da9c6ee2 Mon Sep 17 00:00:00 2001 From: Eric Andersen Date: Thu, 22 Nov 2001 14:04:29 +0000 Subject: Totally rework the math library, this time based on the MacOs X math library (which is itself based on the math lib from FreeBSD). -Erik --- libm/float/ndtrif.c | 186 ---------------------------------------------------- 1 file changed, 186 deletions(-) delete mode 100644 libm/float/ndtrif.c (limited to 'libm/float/ndtrif.c') diff --git a/libm/float/ndtrif.c b/libm/float/ndtrif.c deleted file mode 100644 index 3e33bc2c5..000000000 --- a/libm/float/ndtrif.c +++ /dev/null @@ -1,186 +0,0 @@ -/* ndtrif.c - * - * Inverse of Normal distribution function - * - * - * - * SYNOPSIS: - * - * float x, y, ndtrif(); - * - * x = ndtrif( y ); - * - * - * - * DESCRIPTION: - * - * Returns the argument, x, for which the area under the - * Gaussian probability density function (integrated from - * minus infinity to x) is equal to y. - * - * - * For small arguments 0 < y < exp(-2), the program computes - * z = sqrt( -2.0 * log(y) ); then the approximation is - * x = z - log(z)/z - (1/z) P(1/z) / Q(1/z). - * There are two rational functions P/Q, one for 0 < y < exp(-32) - * and the other for y up to exp(-2). For larger arguments, - * w = y - 0.5, and x/sqrt(2pi) = w + w**3 R(w**2)/S(w**2)). - * - * - * ACCURACY: - * - * Relative error: - * arithmetic domain # trials peak rms - * IEEE 1e-38, 1 30000 3.6e-7 5.0e-8 - * - * - * ERROR MESSAGES: - * - * message condition value returned - * ndtrif domain x <= 0 -MAXNUM - * ndtrif domain x >= 1 MAXNUM - * - */ - - -/* -Cephes Math Library Release 2.2: July, 1992 -Copyright 1984, 1987, 1989, 1992 by Stephen L. Moshier -Direct inquiries to 30 Frost Street, Cambridge, MA 02140 -*/ - -#include -extern float MAXNUMF; - -/* sqrt(2pi) */ -static float s2pi = 2.50662827463100050242; - -/* approximation for 0 <= |y - 0.5| <= 3/8 */ -static float P0[5] = { --5.99633501014107895267E1, - 9.80010754185999661536E1, --5.66762857469070293439E1, - 1.39312609387279679503E1, --1.23916583867381258016E0, -}; -static float Q0[8] = { -/* 1.00000000000000000000E0,*/ - 1.95448858338141759834E0, - 4.67627912898881538453E0, - 8.63602421390890590575E1, --2.25462687854119370527E2, - 2.00260212380060660359E2, --8.20372256168333339912E1, - 1.59056225126211695515E1, --1.18331621121330003142E0, -}; - -/* Approximation for interval z = sqrt(-2 log y ) between 2 and 8 - * i.e., y between exp(-2) = .135 and exp(-32) = 1.27e-14. - */ -static float P1[9] = { - 4.05544892305962419923E0, - 3.15251094599893866154E1, - 5.71628192246421288162E1, - 4.40805073893200834700E1, - 1.46849561928858024014E1, - 2.18663306850790267539E0, --1.40256079171354495875E-1, --3.50424626827848203418E-2, --8.57456785154685413611E-4, -}; -static float Q1[8] = { -/* 1.00000000000000000000E0,*/ - 1.57799883256466749731E1, - 4.53907635128879210584E1, - 4.13172038254672030440E1, - 1.50425385692907503408E1, - 2.50464946208309415979E0, --1.42182922854787788574E-1, --3.80806407691578277194E-2, --9.33259480895457427372E-4, -}; - - -/* Approximation for interval z = sqrt(-2 log y ) between 8 and 64 - * i.e., y between exp(-32) = 1.27e-14 and exp(-2048) = 3.67e-890. - */ - -static float P2[9] = { - 3.23774891776946035970E0, - 6.91522889068984211695E0, - 3.93881025292474443415E0, - 1.33303460815807542389E0, - 2.01485389549179081538E-1, - 1.23716634817820021358E-2, - 3.01581553508235416007E-4, - 2.65806974686737550832E-6, - 6.23974539184983293730E-9, -}; -static float Q2[8] = { -/* 1.00000000000000000000E0,*/ - 6.02427039364742014255E0, - 3.67983563856160859403E0, - 1.37702099489081330271E0, - 2.16236993594496635890E-1, - 1.34204006088543189037E-2, - 3.28014464682127739104E-4, - 2.89247864745380683936E-6, - 6.79019408009981274425E-9, -}; - -#ifdef ANSIC -float polevlf(float, float *, int); -float p1evlf(float, float *, int); -float logf(float), sqrtf(float); -#else -float polevlf(), p1evlf(), logf(), sqrtf(); -#endif - - -float ndtrif(float yy0) -{ -float y0, x, y, z, y2, x0, x1; -int code; - -y0 = yy0; -if( y0 <= 0.0 ) - { - mtherr( "ndtrif", DOMAIN ); - return( -MAXNUMF ); - } -if( y0 >= 1.0 ) - { - mtherr( "ndtrif", DOMAIN ); - return( MAXNUMF ); - } -code = 1; -y = y0; -if( y > (1.0 - 0.13533528323661269189) ) /* 0.135... = exp(-2) */ - { - y = 1.0 - y; - code = 0; - } - -if( y > 0.13533528323661269189 ) - { - y = y - 0.5; - y2 = y * y; - x = y + y * (y2 * polevlf( y2, P0, 4)/p1evlf( y2, Q0, 8 )); - x = x * s2pi; - return(x); - } - -x = sqrtf( -2.0 * logf(y) ); -x0 = x - logf(x)/x; - -z = 1.0/x; -if( x < 8.0 ) /* y > exp(-32) = 1.2664165549e-14 */ - x1 = z * polevlf( z, P1, 8 )/p1evlf( z, Q1, 8 ); -else - x1 = z * polevlf( z, P2, 8 )/p1evlf( z, Q2, 8 ); -x = x0 - x1; -if( code != 0 ) - x = -x; -return( x ); -} -- cgit v1.2.3