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272 lines
7.9 KiB
C
272 lines
7.9 KiB
C
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/*-
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* Copyright (c) 2012 David Schultz <das@FreeBSD.org>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*/
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/*
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* Test that floating-point arithmetic works as specified by the C standard.
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*/
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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#include <fenv.h>
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#include <float.h>
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#include <math.h>
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#include <stdio.h>
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#ifdef __i386__
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#include <ieeefp.h>
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#endif
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#define ALL_STD_EXCEPT (FE_DIVBYZERO | FE_INEXACT | FE_INVALID | \
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FE_OVERFLOW | FE_UNDERFLOW)
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#define TWICE(x) ((x) + (x))
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#define test(desc, pass) test1((desc), (pass), 0)
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#define skiptest(desc, pass) test1((desc), (pass), 1)
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#pragma STDC FENV_ACCESS ON
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static const float one_f = 1.0 + FLT_EPSILON / 2;
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static const double one_d = 1.0 + DBL_EPSILON / 2;
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static const long double one_ld = 1.0L + LDBL_EPSILON / 2;
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static int testnum, failures;
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static void
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test1(const char *testdesc, int pass, int skip)
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{
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testnum++;
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printf("%sok %d - %s%s\n", pass || skip ? "" : "not ", testnum,
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skip ? "(SKIPPED) " : "", testdesc);
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if (!pass && !skip)
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failures++;
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}
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/*
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* Compare d1 and d2 using special rules: NaN == NaN and +0 != -0.
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*/
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static int
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fpequal(long double d1, long double d2)
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{
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if (d1 != d2)
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return (isnan(d1) && isnan(d2));
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return (copysignl(1.0, d1) == copysignl(1.0, d2));
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}
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void
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run_zero_opt_test(double d1, double d2)
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{
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test("optimizations don't break the sign of 0",
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fpequal(d1 - d2, 0.0)
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&& fpequal(-d1 + 0.0, 0.0)
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&& fpequal(-d1 - d2, -0.0)
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&& fpequal(-(d1 - d2), -0.0)
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&& fpequal(-d1 - (-d2), 0.0));
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}
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void
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run_inf_opt_test(double d)
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{
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test("optimizations don't break infinities",
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fpequal(d / d, NAN) && fpequal(0.0 * d, NAN));
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}
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static inline double
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todouble(long double ld)
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{
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return (ld);
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}
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static inline float
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tofloat(double d)
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{
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return (d);
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}
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void
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run_tests(void)
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{
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volatile long double vld;
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long double ld;
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volatile double vd;
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double d;
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volatile float vf;
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float f;
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int x;
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test("sign bits", fpequal(-0.0, -0.0) && !fpequal(0.0, -0.0));
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vd = NAN;
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test("NaN equality", fpequal(NAN, NAN) && NAN != NAN && vd != vd);
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feclearexcept(ALL_STD_EXCEPT);
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test("NaN comparison returns false", !(vd <= vd));
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/*
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* XXX disabled; gcc/amd64 botches this IEEE 754 requirement by
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* emitting ucomisd instead of comisd.
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*/
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skiptest("FENV_ACCESS: NaN comparison raises invalid exception",
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fetestexcept(ALL_STD_EXCEPT) == FE_INVALID);
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vd = 0.0;
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run_zero_opt_test(vd, vd);
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vd = INFINITY;
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run_inf_opt_test(vd);
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feclearexcept(ALL_STD_EXCEPT);
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vd = INFINITY;
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x = (int)vd;
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/* XXX disabled (works with -O0); gcc doesn't support FENV_ACCESS */
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skiptest("FENV_ACCESS: Inf->int conversion raises invalid exception",
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fetestexcept(ALL_STD_EXCEPT) == FE_INVALID);
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/* Raising an inexact exception here is an IEEE-854 requirement. */
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feclearexcept(ALL_STD_EXCEPT);
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vd = 0.75;
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x = (int)vd;
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test("0.75->int conversion rounds toward 0, raises inexact exception",
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x == 0 && fetestexcept(ALL_STD_EXCEPT) == FE_INEXACT);
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feclearexcept(ALL_STD_EXCEPT);
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vd = -42.0;
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x = (int)vd;
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test("-42.0->int conversion is exact, raises no exception",
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x == -42 && fetestexcept(ALL_STD_EXCEPT) == 0);
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feclearexcept(ALL_STD_EXCEPT);
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x = (int)INFINITY;
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/* XXX disabled; gcc doesn't support FENV_ACCESS */
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skiptest("FENV_ACCESS: const Inf->int conversion raises invalid",
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fetestexcept(ALL_STD_EXCEPT) == FE_INVALID);
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feclearexcept(ALL_STD_EXCEPT);
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x = (int)0.5;
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/* XXX disabled; gcc doesn't support FENV_ACCESS */
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skiptest("FENV_ACCESS: const double->int conversion raises inexact",
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x == 0 && fetestexcept(ALL_STD_EXCEPT) == FE_INEXACT);
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test("compile-time constants don't have too much precision",
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one_f == 1.0L && one_d == 1.0L && one_ld == 1.0L);
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test("const minimum rounding precision",
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1.0F + FLT_EPSILON != 1.0F &&
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1.0 + DBL_EPSILON != 1.0 &&
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1.0L + LDBL_EPSILON != 1.0L);
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/* It isn't the compiler's fault if this fails on FreeBSD/i386. */
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vf = FLT_EPSILON;
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vd = DBL_EPSILON;
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vld = LDBL_EPSILON;
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test("runtime minimum rounding precision",
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1.0F + vf != 1.0F && 1.0 + vd != 1.0 && 1.0L + vld != 1.0L);
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test("explicit float to float conversion discards extra precision",
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(float)(1.0F + FLT_EPSILON * 0.5F) == 1.0F &&
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(float)(1.0F + vf * 0.5F) == 1.0F);
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test("explicit double to float conversion discards extra precision",
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(float)(1.0 + FLT_EPSILON * 0.5) == 1.0F &&
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(float)(1.0 + vf * 0.5) == 1.0F);
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test("explicit ldouble to float conversion discards extra precision",
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(float)(1.0L + FLT_EPSILON * 0.5L) == 1.0F &&
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(float)(1.0L + vf * 0.5L) == 1.0F);
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test("explicit double to double conversion discards extra precision",
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(double)(1.0 + DBL_EPSILON * 0.5) == 1.0 &&
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(double)(1.0 + vd * 0.5) == 1.0);
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test("explicit ldouble to double conversion discards extra precision",
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(double)(1.0L + DBL_EPSILON * 0.5L) == 1.0 &&
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(double)(1.0L + vd * 0.5L) == 1.0);
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/*
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* FLT_EVAL_METHOD > 1 implies that float expressions are always
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* evaluated in double precision or higher, but some compilers get
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* this wrong when registers spill to memory. The following expression
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* forces a spill when there are at most 8 FP registers.
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*/
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test("implicit promption to double or higher precision is consistent",
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#if FLT_EVAL_METHOD == 1 || FLT_EVAL_METHOD == 2 || defined(__i386__)
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TWICE(TWICE(TWICE(TWICE(TWICE(
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TWICE(TWICE(TWICE(TWICE(1.0F + vf * 0.5F)))))))))
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== (1.0 + FLT_EPSILON * 0.5) * 512.0
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#else
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1
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#endif
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);
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f = 1.0 + FLT_EPSILON * 0.5;
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d = 1.0L + DBL_EPSILON * 0.5L;
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test("const assignment discards extra precision", f == 1.0F && d == 1.0);
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f = 1.0 + vf * 0.5;
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d = 1.0L + vd * 0.5L;
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test("variable assignment discards explicit extra precision",
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f == 1.0F && d == 1.0);
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f = 1.0F + vf * 0.5F;
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d = 1.0 + vd * 0.5;
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test("variable assignment discards implicit extra precision",
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f == 1.0F && d == 1.0);
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test("return discards extra precision",
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tofloat(1.0 + vf * 0.5) == 1.0F &&
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todouble(1.0L + vd * 0.5L) == 1.0);
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fesetround(FE_UPWARD);
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/* XXX disabled (works with -frounding-math) */
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skiptest("FENV_ACCESS: constant arithmetic respects rounding mode",
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1.0F + FLT_MIN == 1.0F + FLT_EPSILON &&
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1.0 + DBL_MIN == 1.0 + DBL_EPSILON &&
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1.0L + LDBL_MIN == 1.0L + LDBL_EPSILON);
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fesetround(FE_TONEAREST);
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ld = vld * 0.5;
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test("associativity is respected",
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1.0L + ld + (LDBL_EPSILON * 0.5) == 1.0L &&
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1.0L + (LDBL_EPSILON * 0.5) + ld == 1.0L &&
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ld + 1.0 + (LDBL_EPSILON * 0.5) == 1.0L &&
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ld + (LDBL_EPSILON * 0.5) + 1.0 == 1.0L + LDBL_EPSILON);
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}
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int
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main(int argc, char *argv[])
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{
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printf("1..26\n");
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#ifdef __i386__
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fpsetprec(FP_PE);
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#endif
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run_tests();
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return (failures);
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}
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