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Diffstat (limited to 'tools/regression/lib/msun/test-fma.c')
-rw-r--r-- | tools/regression/lib/msun/test-fma.c | 538 |
1 files changed, 0 insertions, 538 deletions
diff --git a/tools/regression/lib/msun/test-fma.c b/tools/regression/lib/msun/test-fma.c deleted file mode 100644 index 7adbd81..0000000 --- a/tools/regression/lib/msun/test-fma.c +++ /dev/null @@ -1,538 +0,0 @@ -/*- - * Copyright (c) 2008 David Schultz <das@FreeBSD.org> - * All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in the - * documentation and/or other materials provided with the distribution. - * - * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND - * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE - * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE - * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL - * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS - * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY - * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF - * SUCH DAMAGE. - */ - -/* - * Tests for fma{,f,l}(). - */ - -#include <sys/cdefs.h> -__FBSDID("$FreeBSD$"); - -#include <sys/param.h> -#include <assert.h> -#include <fenv.h> -#include <float.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> - -#include "test-utils.h" - -#pragma STDC FENV_ACCESS ON - -/* - * Test that a function returns the correct value and sets the - * exception flags correctly. The exceptmask specifies which - * exceptions we should check. We need to be lenient for several - * reasons, but mainly because on some architectures it's impossible - * to raise FE_OVERFLOW without raising FE_INEXACT. - * - * These are macros instead of functions so that assert provides more - * meaningful error messages. - */ -#define test(func, x, y, z, result, exceptmask, excepts) do { \ - volatile long double _vx = (x), _vy = (y), _vz = (z); \ - assert(feclearexcept(FE_ALL_EXCEPT) == 0); \ - assert(fpequal((func)(_vx, _vy, _vz), (result))); \ - assert(((void)(func), fetestexcept(exceptmask) == (excepts))); \ -} while (0) - -#define testall(x, y, z, result, exceptmask, excepts) do { \ - test(fma, (double)(x), (double)(y), (double)(z), \ - (double)(result), (exceptmask), (excepts)); \ - test(fmaf, (float)(x), (float)(y), (float)(z), \ - (float)(result), (exceptmask), (excepts)); \ - test(fmal, (x), (y), (z), (result), (exceptmask), (excepts)); \ -} while (0) - -/* Test in all rounding modes. */ -#define testrnd(func, x, y, z, rn, ru, rd, rz, exceptmask, excepts) do { \ - fesetround(FE_TONEAREST); \ - test((func), (x), (y), (z), (rn), (exceptmask), (excepts)); \ - fesetround(FE_UPWARD); \ - test((func), (x), (y), (z), (ru), (exceptmask), (excepts)); \ - fesetround(FE_DOWNWARD); \ - test((func), (x), (y), (z), (rd), (exceptmask), (excepts)); \ - fesetround(FE_TOWARDZERO); \ - test((func), (x), (y), (z), (rz), (exceptmask), (excepts)); \ -} while (0) - -/* - * This is needed because clang constant-folds fma in ways that are incorrect - * in rounding modes other than FE_TONEAREST. - */ -volatile double one = 1.0; - -static void -test_zeroes(void) -{ - const int rd = (fegetround() == FE_DOWNWARD); - - testall(0.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); - testall(1.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); - testall(0.0, 1.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); - testall(0.0, 0.0, 1.0, 1.0, ALL_STD_EXCEPT, 0); - - testall(-0.0, 0.0, 0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); - testall(0.0, -0.0, 0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); - testall(-0.0, -0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); - testall(0.0, 0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); - testall(-0.0, -0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); - - testall(-0.0, 0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0); - testall(0.0, -0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0); - - testall(-one, one, one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); - testall(one, -one, one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); - testall(-one, -one, -one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); - - switch (fegetround()) { - case FE_TONEAREST: - case FE_TOWARDZERO: - test(fmaf, -FLT_MIN, FLT_MIN, 0.0, -0.0, - ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); - test(fma, -DBL_MIN, DBL_MIN, 0.0, -0.0, - ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); - test(fmal, -LDBL_MIN, LDBL_MIN, 0.0, -0.0, - ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); - } -} - -static void -test_infinities(void) -{ - - testall(INFINITY, 1.0, -1.0, INFINITY, ALL_STD_EXCEPT, 0); - testall(-1.0, INFINITY, 0.0, -INFINITY, ALL_STD_EXCEPT, 0); - testall(0.0, 0.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); - testall(1.0, 1.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); - testall(1.0, 1.0, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); - - testall(INFINITY, -INFINITY, 1.0, -INFINITY, ALL_STD_EXCEPT, 0); - testall(INFINITY, INFINITY, 1.0, INFINITY, ALL_STD_EXCEPT, 0); - testall(-INFINITY, -INFINITY, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); - - testall(0.0, INFINITY, 1.0, NAN, ALL_STD_EXCEPT, FE_INVALID); - testall(INFINITY, 0.0, -0.0, NAN, ALL_STD_EXCEPT, FE_INVALID); - - /* The invalid exception is optional in this case. */ - testall(INFINITY, 0.0, NAN, NAN, ALL_STD_EXCEPT & ~FE_INVALID, 0); - - testall(INFINITY, INFINITY, -INFINITY, NAN, - ALL_STD_EXCEPT, FE_INVALID); - testall(-INFINITY, INFINITY, INFINITY, NAN, - ALL_STD_EXCEPT, FE_INVALID); - testall(INFINITY, -1.0, INFINITY, NAN, - ALL_STD_EXCEPT, FE_INVALID); - - test(fmaf, FLT_MAX, FLT_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); - test(fma, DBL_MAX, DBL_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); - test(fmal, LDBL_MAX, LDBL_MAX, -INFINITY, -INFINITY, - ALL_STD_EXCEPT, 0); - test(fmaf, FLT_MAX, -FLT_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); - test(fma, DBL_MAX, -DBL_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); - test(fmal, LDBL_MAX, -LDBL_MAX, INFINITY, INFINITY, - ALL_STD_EXCEPT, 0); -} - -static void -test_nans(void) -{ - - testall(NAN, 0.0, 0.0, NAN, ALL_STD_EXCEPT, 0); - testall(1.0, NAN, 1.0, NAN, ALL_STD_EXCEPT, 0); - testall(1.0, -1.0, NAN, NAN, ALL_STD_EXCEPT, 0); - testall(0.0, 0.0, NAN, NAN, ALL_STD_EXCEPT, 0); - testall(NAN, NAN, NAN, NAN, ALL_STD_EXCEPT, 0); - - /* x*y should not raise an inexact/overflow/underflow if z is NaN. */ - testall(M_PI, M_PI, NAN, NAN, ALL_STD_EXCEPT, 0); - test(fmaf, FLT_MIN, FLT_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); - test(fma, DBL_MIN, DBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); - test(fmal, LDBL_MIN, LDBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); - test(fmaf, FLT_MAX, FLT_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); - test(fma, DBL_MAX, DBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); - test(fmal, LDBL_MAX, LDBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); -} - -/* - * Tests for cases where z is very small compared to x*y. - */ -static void -test_small_z(void) -{ - - /* x*y positive, z positive */ - if (fegetround() == FE_UPWARD) { - test(fmaf, one, one, 0x1.0p-100, 1.0 + FLT_EPSILON, - ALL_STD_EXCEPT, FE_INEXACT); - test(fma, one, one, 0x1.0p-200, 1.0 + DBL_EPSILON, - ALL_STD_EXCEPT, FE_INEXACT); - test(fmal, one, one, 0x1.0p-200, 1.0 + LDBL_EPSILON, - ALL_STD_EXCEPT, FE_INEXACT); - } else { - testall(0x1.0p100, one, 0x1.0p-100, 0x1.0p100, - ALL_STD_EXCEPT, FE_INEXACT); - } - - /* x*y negative, z negative */ - if (fegetround() == FE_DOWNWARD) { - test(fmaf, -one, one, -0x1.0p-100, -(1.0 + FLT_EPSILON), - ALL_STD_EXCEPT, FE_INEXACT); - test(fma, -one, one, -0x1.0p-200, -(1.0 + DBL_EPSILON), - ALL_STD_EXCEPT, FE_INEXACT); - test(fmal, -one, one, -0x1.0p-200, -(1.0 + LDBL_EPSILON), - ALL_STD_EXCEPT, FE_INEXACT); - } else { - testall(0x1.0p100, -one, -0x1.0p-100, -0x1.0p100, - ALL_STD_EXCEPT, FE_INEXACT); - } - - /* x*y positive, z negative */ - if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) { - test(fmaf, one, one, -0x1.0p-100, 1.0 - FLT_EPSILON / 2, - ALL_STD_EXCEPT, FE_INEXACT); - test(fma, one, one, -0x1.0p-200, 1.0 - DBL_EPSILON / 2, - ALL_STD_EXCEPT, FE_INEXACT); - test(fmal, one, one, -0x1.0p-200, 1.0 - LDBL_EPSILON / 2, - ALL_STD_EXCEPT, FE_INEXACT); - } else { - testall(0x1.0p100, one, -0x1.0p-100, 0x1.0p100, - ALL_STD_EXCEPT, FE_INEXACT); - } - - /* x*y negative, z positive */ - if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) { - test(fmaf, -one, one, 0x1.0p-100, -1.0 + FLT_EPSILON / 2, - ALL_STD_EXCEPT, FE_INEXACT); - test(fma, -one, one, 0x1.0p-200, -1.0 + DBL_EPSILON / 2, - ALL_STD_EXCEPT, FE_INEXACT); - test(fmal, -one, one, 0x1.0p-200, -1.0 + LDBL_EPSILON / 2, - ALL_STD_EXCEPT, FE_INEXACT); - } else { - testall(-0x1.0p100, one, 0x1.0p-100, -0x1.0p100, - ALL_STD_EXCEPT, FE_INEXACT); - } -} - -/* - * Tests for cases where z is very large compared to x*y. - */ -static void -test_big_z(void) -{ - - /* z positive, x*y positive */ - if (fegetround() == FE_UPWARD) { - test(fmaf, 0x1.0p-50, 0x1.0p-50, 1.0, 1.0 + FLT_EPSILON, - ALL_STD_EXCEPT, FE_INEXACT); - test(fma, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + DBL_EPSILON, - ALL_STD_EXCEPT, FE_INEXACT); - test(fmal, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + LDBL_EPSILON, - ALL_STD_EXCEPT, FE_INEXACT); - } else { - testall(-0x1.0p-50, -0x1.0p-50, 0x1.0p100, 0x1.0p100, - ALL_STD_EXCEPT, FE_INEXACT); - } - - /* z negative, x*y negative */ - if (fegetround() == FE_DOWNWARD) { - test(fmaf, -0x1.0p-50, 0x1.0p-50, -1.0, -(1.0 + FLT_EPSILON), - ALL_STD_EXCEPT, FE_INEXACT); - test(fma, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + DBL_EPSILON), - ALL_STD_EXCEPT, FE_INEXACT); - test(fmal, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + LDBL_EPSILON), - ALL_STD_EXCEPT, FE_INEXACT); - } else { - testall(0x1.0p-50, -0x1.0p-50, -0x1.0p100, -0x1.0p100, - ALL_STD_EXCEPT, FE_INEXACT); - } - - /* z negative, x*y positive */ - if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) { - test(fmaf, -0x1.0p-50, -0x1.0p-50, -1.0, - -1.0 + FLT_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); - test(fma, -0x1.0p-100, -0x1.0p-100, -1.0, - -1.0 + DBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); - test(fmal, -0x1.0p-100, -0x1.0p-100, -1.0, - -1.0 + LDBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); - } else { - testall(0x1.0p-50, 0x1.0p-50, -0x1.0p100, -0x1.0p100, - ALL_STD_EXCEPT, FE_INEXACT); - } - - /* z positive, x*y negative */ - if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) { - test(fmaf, 0x1.0p-50, -0x1.0p-50, 1.0, 1.0 - FLT_EPSILON / 2, - ALL_STD_EXCEPT, FE_INEXACT); - test(fma, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - DBL_EPSILON / 2, - ALL_STD_EXCEPT, FE_INEXACT); - test(fmal, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - LDBL_EPSILON / 2, - ALL_STD_EXCEPT, FE_INEXACT); - } else { - testall(-0x1.0p-50, 0x1.0p-50, 0x1.0p100, 0x1.0p100, - ALL_STD_EXCEPT, FE_INEXACT); - } -} - -static void -test_accuracy(void) -{ - - /* ilogb(x*y) - ilogb(z) = 20 */ - testrnd(fmaf, -0x1.c139d8p-51, -0x1.600e7ap32, 0x1.26558cp-38, - 0x1.34e48ap-18, 0x1.34e48cp-18, 0x1.34e48ap-18, 0x1.34e48ap-18, - ALL_STD_EXCEPT, FE_INEXACT); - testrnd(fma, -0x1.c139d7b84f1a3p-51, -0x1.600e7a2a16484p32, - 0x1.26558cac31580p-38, 0x1.34e48a78aae97p-18, - 0x1.34e48a78aae97p-18, 0x1.34e48a78aae96p-18, - 0x1.34e48a78aae96p-18, ALL_STD_EXCEPT, FE_INEXACT); -#if LDBL_MANT_DIG == 113 - testrnd(fmal, -0x1.c139d7b84f1a3079263afcc5bae3p-51L, - -0x1.600e7a2a164840edbe2e7d301a72p32L, - 0x1.26558cac315807eb07e448042101p-38L, - 0x1.34e48a78aae96c76ed36077dd387p-18L, - 0x1.34e48a78aae96c76ed36077dd388p-18L, - 0x1.34e48a78aae96c76ed36077dd387p-18L, - 0x1.34e48a78aae96c76ed36077dd387p-18L, - ALL_STD_EXCEPT, FE_INEXACT); -#elif LDBL_MANT_DIG == 64 - testrnd(fmal, -0x1.c139d7b84f1a307ap-51L, -0x1.600e7a2a164840eep32L, - 0x1.26558cac315807ecp-38L, 0x1.34e48a78aae96c78p-18L, - 0x1.34e48a78aae96c78p-18L, 0x1.34e48a78aae96c76p-18L, - 0x1.34e48a78aae96c76p-18L, ALL_STD_EXCEPT, FE_INEXACT); -#elif LDBL_MANT_DIG == 53 - testrnd(fmal, -0x1.c139d7b84f1a3p-51L, -0x1.600e7a2a16484p32L, - 0x1.26558cac31580p-38L, 0x1.34e48a78aae97p-18L, - 0x1.34e48a78aae97p-18L, 0x1.34e48a78aae96p-18L, - 0x1.34e48a78aae96p-18L, ALL_STD_EXCEPT, FE_INEXACT); -#endif - - /* ilogb(x*y) - ilogb(z) = -40 */ - testrnd(fmaf, 0x1.98210ap53, 0x1.9556acp-24, 0x1.d87da4p70, - 0x1.d87da4p70, 0x1.d87da6p70, 0x1.d87da4p70, 0x1.d87da4p70, - ALL_STD_EXCEPT, FE_INEXACT); - testrnd(fma, 0x1.98210ac83fe2bp53, 0x1.9556ac1475f0fp-24, - 0x1.d87da3aafc60ep70, 0x1.d87da3aafda40p70, - 0x1.d87da3aafda40p70, 0x1.d87da3aafda3fp70, - 0x1.d87da3aafda3fp70, ALL_STD_EXCEPT, FE_INEXACT); -#if LDBL_MANT_DIG == 113 - testrnd(fmal, 0x1.98210ac83fe2a8f65b6278b74cebp53L, - 0x1.9556ac1475f0f28968b61d0de65ap-24L, - 0x1.d87da3aafc60d830aa4c6d73b749p70L, - 0x1.d87da3aafda3f36a69eb86488224p70L, - 0x1.d87da3aafda3f36a69eb86488225p70L, - 0x1.d87da3aafda3f36a69eb86488224p70L, - 0x1.d87da3aafda3f36a69eb86488224p70L, - ALL_STD_EXCEPT, FE_INEXACT); -#elif LDBL_MANT_DIG == 64 - testrnd(fmal, 0x1.98210ac83fe2a8f6p53L, 0x1.9556ac1475f0f28ap-24L, - 0x1.d87da3aafc60d83p70L, 0x1.d87da3aafda3f36ap70L, - 0x1.d87da3aafda3f36ap70L, 0x1.d87da3aafda3f368p70L, - 0x1.d87da3aafda3f368p70L, ALL_STD_EXCEPT, FE_INEXACT); -#elif LDBL_MANT_DIG == 53 - testrnd(fmal, 0x1.98210ac83fe2bp53L, 0x1.9556ac1475f0fp-24L, - 0x1.d87da3aafc60ep70L, 0x1.d87da3aafda40p70L, - 0x1.d87da3aafda40p70L, 0x1.d87da3aafda3fp70L, - 0x1.d87da3aafda3fp70L, ALL_STD_EXCEPT, FE_INEXACT); -#endif - - /* ilogb(x*y) - ilogb(z) = 0 */ - testrnd(fmaf, 0x1.31ad02p+100, 0x1.2fbf7ap-42, -0x1.c3e106p+58, - -0x1.64c27cp+56, -0x1.64c27ap+56, -0x1.64c27cp+56, - -0x1.64c27ap+56, ALL_STD_EXCEPT, FE_INEXACT); - testrnd(fma, 0x1.31ad012ede8aap+100, 0x1.2fbf79c839067p-42, - -0x1.c3e106929056ep+58, -0x1.64c282b970a5fp+56, - -0x1.64c282b970a5ep+56, -0x1.64c282b970a5fp+56, - -0x1.64c282b970a5ep+56, ALL_STD_EXCEPT, FE_INEXACT); -#if LDBL_MANT_DIG == 113 - testrnd(fmal, 0x1.31ad012ede8aa282fa1c19376d16p+100L, - 0x1.2fbf79c839066f0f5c68f6d2e814p-42L, - -0x1.c3e106929056ec19de72bfe64215p+58L, - -0x1.64c282b970a612598fc025ca8cddp+56L, - -0x1.64c282b970a612598fc025ca8cddp+56L, - -0x1.64c282b970a612598fc025ca8cdep+56L, - -0x1.64c282b970a612598fc025ca8cddp+56L, - ALL_STD_EXCEPT, FE_INEXACT); -#elif LDBL_MANT_DIG == 64 - testrnd(fmal, 0x1.31ad012ede8aa4eap+100L, 0x1.2fbf79c839066aeap-42L, - -0x1.c3e106929056e61p+58L, -0x1.64c282b970a60298p+56L, - -0x1.64c282b970a60298p+56L, -0x1.64c282b970a6029ap+56L, - -0x1.64c282b970a60298p+56L, ALL_STD_EXCEPT, FE_INEXACT); -#elif LDBL_MANT_DIG == 53 - testrnd(fmal, 0x1.31ad012ede8aap+100L, 0x1.2fbf79c839067p-42L, - -0x1.c3e106929056ep+58L, -0x1.64c282b970a5fp+56L, - -0x1.64c282b970a5ep+56L, -0x1.64c282b970a5fp+56L, - -0x1.64c282b970a5ep+56L, ALL_STD_EXCEPT, FE_INEXACT); -#endif - - /* x*y (rounded) ~= -z */ - /* XXX spurious inexact exceptions */ - testrnd(fmaf, 0x1.bbffeep-30, -0x1.1d164cp-74, 0x1.ee7296p-104, - -0x1.c46ea8p-128, -0x1.c46ea8p-128, -0x1.c46ea8p-128, - -0x1.c46ea8p-128, ALL_STD_EXCEPT & ~FE_INEXACT, 0); - testrnd(fma, 0x1.bbffeea6fc7d6p-30, 0x1.1d164c6cbf078p-74, - -0x1.ee72993aff948p-104, -0x1.71f72ac7d9d8p-159, - -0x1.71f72ac7d9d8p-159, -0x1.71f72ac7d9d8p-159, - -0x1.71f72ac7d9d8p-159, ALL_STD_EXCEPT & ~FE_INEXACT, 0); -#if LDBL_MANT_DIG == 113 - testrnd(fmal, 0x1.bbffeea6fc7d65927d147f437675p-30L, - 0x1.1d164c6cbf078b7a22607d1cd6a2p-74L, - -0x1.ee72993aff94973876031bec0944p-104L, - 0x1.64e086175b3a2adc36e607058814p-217L, - 0x1.64e086175b3a2adc36e607058814p-217L, - 0x1.64e086175b3a2adc36e607058814p-217L, - 0x1.64e086175b3a2adc36e607058814p-217L, - ALL_STD_EXCEPT & ~FE_INEXACT, 0); -#elif LDBL_MANT_DIG == 64 - testrnd(fmal, 0x1.bbffeea6fc7d6592p-30L, 0x1.1d164c6cbf078b7ap-74L, - -0x1.ee72993aff949736p-104L, 0x1.af190e7a1ee6ad94p-168L, - 0x1.af190e7a1ee6ad94p-168L, 0x1.af190e7a1ee6ad94p-168L, - 0x1.af190e7a1ee6ad94p-168L, ALL_STD_EXCEPT & ~FE_INEXACT, 0); -#elif LDBL_MANT_DIG == 53 - testrnd(fmal, 0x1.bbffeea6fc7d6p-30L, 0x1.1d164c6cbf078p-74L, - -0x1.ee72993aff948p-104L, -0x1.71f72ac7d9d8p-159L, - -0x1.71f72ac7d9d8p-159L, -0x1.71f72ac7d9d8p-159L, - -0x1.71f72ac7d9d8p-159L, ALL_STD_EXCEPT & ~FE_INEXACT, 0); -#endif -} - -static void -test_double_rounding(void) -{ - - /* - * a = 0x1.8000000000001p0 - * b = 0x1.8000000000001p0 - * c = -0x0.0000000000000000000000000080...1p+1 - * a * b = 0x1.2000000000001800000000000080p+1 - * - * The correct behavior is to round DOWN to 0x1.2000000000001p+1 in - * round-to-nearest mode. An implementation that computes a*b+c in - * double+double precision, however, will get 0x1.20000000000018p+1, - * and then round UP. - */ - fesetround(FE_TONEAREST); - test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0, - -0x1.0000000000001p-104, 0x1.2000000000001p+1, - ALL_STD_EXCEPT, FE_INEXACT); - fesetround(FE_DOWNWARD); - test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0, - -0x1.0000000000001p-104, 0x1.2000000000001p+1, - ALL_STD_EXCEPT, FE_INEXACT); - fesetround(FE_UPWARD); - test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0, - -0x1.0000000000001p-104, 0x1.2000000000002p+1, - ALL_STD_EXCEPT, FE_INEXACT); - - fesetround(FE_TONEAREST); - test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1, - ALL_STD_EXCEPT, FE_INEXACT); - fesetround(FE_DOWNWARD); - test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1, - ALL_STD_EXCEPT, FE_INEXACT); - fesetround(FE_UPWARD); - test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200004p+1, - ALL_STD_EXCEPT, FE_INEXACT); - - fesetround(FE_TONEAREST); -#if LDBL_MANT_DIG == 64 - test(fmal, 0x1.4p+0L, 0x1.0000000000000004p+0L, 0x1p-128L, - 0x1.4000000000000006p+0L, ALL_STD_EXCEPT, FE_INEXACT); -#elif LDBL_MANT_DIG == 113 - test(fmal, 0x1.8000000000000000000000000001p+0L, - 0x1.8000000000000000000000000001p+0L, - -0x1.0000000000000000000000000001p-224L, - 0x1.2000000000000000000000000001p+1L, ALL_STD_EXCEPT, FE_INEXACT); -#endif - -} - -int -main(int argc, char *argv[]) -{ - int rmodes[] = { FE_TONEAREST, FE_UPWARD, FE_DOWNWARD, FE_TOWARDZERO }; - int i, j; - -#if defined(__i386__) - printf("1..0 # SKIP all testcases fail on i386\n"); - exit(0); -#endif - - j = 1; - - printf("1..19\n"); - - for (i = 0; i < nitems(rmodes); i++, j++) { - printf("rmode = %d\n", rmodes[i]); - fesetround(rmodes[i]); - test_zeroes(); - printf("ok %d - fma zeroes\n", j); - } - - for (i = 0; i < nitems(rmodes); i++, j++) { - printf("rmode = %d\n", rmodes[i]); - fesetround(rmodes[i]); - test_infinities(); - printf("ok %d - fma infinities\n", j); - } - - fesetround(FE_TONEAREST); - test_nans(); - printf("ok %d - fma NaNs\n", j); - j++; - - for (i = 0; i < nitems(rmodes); i++, j++) { - printf("rmode = %d\n", rmodes[i]); - fesetround(rmodes[i]); - test_small_z(); - printf("ok %d - fma small z\n", j); - } - - for (i = 0; i < nitems(rmodes); i++, j++) { - printf("rmode = %d\n", rmodes[i]); - fesetround(rmodes[i]); - test_big_z(); - printf("ok %d - fma big z\n", j); - } - - fesetround(FE_TONEAREST); - test_accuracy(); - printf("ok %d - fma accuracy\n", j); - j++; - - test_double_rounding(); - printf("ok %d - fma double rounding\n", j); - j++; - - /* - * TODO: - * - Tests for subnormals - * - Cancellation tests (e.g., z = (double)x*y, but x*y is inexact) - */ - - return (0); -} |