Some basic regression tests for {sin,cos,tan}{,f,l}().
This commit is contained in:
David Schultz
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a84bcdcea5
Notes:
svn2git
2020-12-20 02:59:44 +00:00
svn path=/head/; revision=176379
@ -1,7 +1,7 @@
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# $FreeBSD$
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TESTS= test-csqrt test-exponential test-fenv test-ilogb test-lrint \
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test-lround test-nan test-next test-rem
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test-lround test-nan test-next test-rem test-trig
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CFLAGS+= -O0 -lm
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.PHONY: tests
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282
tools/regression/lib/msun/test-trig.c
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282
tools/regression/lib/msun/test-trig.c
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/*-
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* Copyright (c) 2008 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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* Tests for corner cases in trigonometric functions. Some accuracy tests
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* are included as well, but these are very basic sanity checks, not
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* intended to be comprehensive.
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*
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* The program for generating representable numbers near multiples of pi is
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* available at http://www.cs.berkeley.edu/~wkahan/testpi/ .
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*/
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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#include <assert.h>
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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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#define ALL_STD_EXCEPT (FE_DIVBYZERO | FE_INEXACT | FE_INVALID | \
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FE_OVERFLOW | FE_UNDERFLOW)
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#define LEN(a) (sizeof(a) / sizeof((a)[0]))
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#pragma STDC FENV_ACCESS ON
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/*
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* Test that a function returns the correct value and sets the
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* exception flags correctly. The exceptmask specifies which
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* exceptions we should check. We need to be lenient for several
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* reasons, but mainly because on some architectures it's impossible
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* to raise FE_OVERFLOW without raising FE_INEXACT.
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*
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* These are macros instead of functions so that assert provides more
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* meaningful error messages.
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*
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* XXX The volatile here is to avoid gcc's bogus constant folding and work
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* around the lack of support for the FENV_ACCESS pragma.
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*/
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#define test(func, x, result, exceptmask, excepts) do { \
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volatile long double _d = x; \
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assert(feclearexcept(FE_ALL_EXCEPT) == 0); \
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assert(fpequal((func)(_d), (result))); \
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assert(((func), fetestexcept(exceptmask) == (excepts))); \
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} while (0)
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#define testall(prefix, x, result, exceptmask, excepts) do { \
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test(prefix, x, (double)result, exceptmask, excepts); \
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test(prefix##f, x, (float)result, exceptmask, excepts); \
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test(prefix##l, x, result, exceptmask, excepts); \
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} while (0)
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/*
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* Determine whether x and y are equal, with two special rules:
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* +0.0 != -0.0
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* NaN == NaN
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*/
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int
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fpequal(long double x, long double y)
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{
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return ((x == y && signbit(x) == signbit(y)) || isnan(x) && isnan(y));
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}
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/*
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* Test special cases in sin(), cos(), and tan().
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*/
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static void
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run_special_tests(void)
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{
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/* Values at 0 should be exact. */
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testall(tan, 0.0, 0.0, ALL_STD_EXCEPT, 0);
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testall(tan, -0.0, -0.0, ALL_STD_EXCEPT, 0);
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testall(cos, 0.0, 1.0, ALL_STD_EXCEPT, 0);
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testall(cos, -0.0, 1.0, ALL_STD_EXCEPT, 0);
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testall(sin, 0.0, 0.0, ALL_STD_EXCEPT, 0);
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testall(sin, -0.0, -0.0, ALL_STD_EXCEPT, 0);
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/* func(+-Inf) == NaN */
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testall(tan, INFINITY, NAN, ALL_STD_EXCEPT, FE_INVALID);
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testall(sin, INFINITY, NAN, ALL_STD_EXCEPT, FE_INVALID);
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testall(cos, INFINITY, NAN, ALL_STD_EXCEPT, FE_INVALID);
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testall(tan, -INFINITY, NAN, ALL_STD_EXCEPT, FE_INVALID);
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testall(sin, -INFINITY, NAN, ALL_STD_EXCEPT, FE_INVALID);
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testall(cos, -INFINITY, NAN, ALL_STD_EXCEPT, FE_INVALID);
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/* func(NaN) == NaN */
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testall(tan, NAN, NAN, ALL_STD_EXCEPT, 0);
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testall(sin, NAN, NAN, ALL_STD_EXCEPT, 0);
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testall(cos, NAN, NAN, ALL_STD_EXCEPT, 0);
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}
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/*
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* Tests to ensure argument reduction for large arguments is accurate.
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*/
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static void
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run_reduction_tests(void)
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{
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/* floats very close to odd multiples of pi */
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static const float f_pi_odd[] = {
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85563208.0f,
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43998769152.0f,
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9.2763667655669323e+25f,
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1.5458357838905804e+29f,
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};
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/* doubles very close to odd multiples of pi */
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static const double d_pi_odd[] = {
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3.1415926535897931,
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91.106186954104004,
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642615.9188844458,
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3397346.5699258847,
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6134899525417045.0,
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3.0213551960457761e+43,
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1.2646209897993783e+295,
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6.2083625380677099e+307,
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};
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/* long doubles very close to odd multiples of pi */
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#if LDBL_MANT_DIG == 64
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static const long double ld_pi_odd[] = {
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1.1891886960373841596e+101L,
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1.07999475322710967206e+2087L,
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6.522151627890431836e+2147L,
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8.9368974898260328229e+2484L,
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9.2961044110572205863e+2555L,
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4.90208421886578286e+3189L,
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1.5275546401232615884e+3317L,
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1.7227465626338900093e+3565L,
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2.4160090594000745334e+3808L,
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9.8477555741888350649e+4314L,
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1.6061597222105160737e+4326L,
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};
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#elif LDBL_MANT_DIG == 113
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static const long double ld_pi_odd[] = {
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/* XXX */
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};
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#endif
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int i;
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for (i = 0; i < LEN(f_pi_odd); i++) {
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assert(fabs(sinf(f_pi_odd[i])) < FLT_EPSILON);
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assert(cosf(f_pi_odd[i]) == -1.0);
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assert(fabs(tan(f_pi_odd[i])) < FLT_EPSILON);
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assert(fabs(sinf(-f_pi_odd[i])) < FLT_EPSILON);
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assert(cosf(-f_pi_odd[i]) == -1.0);
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assert(fabs(tanf(-f_pi_odd[i])) < FLT_EPSILON);
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assert(fabs(sinf(f_pi_odd[i] * 2)) < FLT_EPSILON);
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assert(cosf(f_pi_odd[i] * 2) == 1.0);
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assert(fabs(tanf(f_pi_odd[i] * 2)) < FLT_EPSILON);
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assert(fabs(sinf(-f_pi_odd[i] * 2)) < FLT_EPSILON);
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assert(cosf(-f_pi_odd[i] * 2) == 1.0);
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assert(fabs(tanf(-f_pi_odd[i] * 2)) < FLT_EPSILON);
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}
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for (i = 0; i < LEN(d_pi_odd); i++) {
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assert(fabs(sin(d_pi_odd[i])) < 2 * DBL_EPSILON);
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assert(cos(d_pi_odd[i]) == -1.0);
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assert(fabs(tan(d_pi_odd[i])) < 2 * DBL_EPSILON);
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assert(fabs(sin(-d_pi_odd[i])) < 2 * DBL_EPSILON);
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assert(cos(-d_pi_odd[i]) == -1.0);
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assert(fabs(tan(-d_pi_odd[i])) < 2 * DBL_EPSILON);
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assert(fabs(sin(d_pi_odd[i] * 2)) < 2 * DBL_EPSILON);
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assert(cos(d_pi_odd[i] * 2) == 1.0);
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assert(fabs(tan(d_pi_odd[i] * 2)) < 2 * DBL_EPSILON);
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assert(fabs(sin(-d_pi_odd[i] * 2)) < 2 * DBL_EPSILON);
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assert(cos(-d_pi_odd[i] * 2) == 1.0);
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assert(fabs(tan(-d_pi_odd[i] * 2)) < 2 * DBL_EPSILON);
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}
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#if LDBL_MANT_DIG > 53
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for (i = 0; i < LEN(ld_pi_odd); i++) {
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assert(fabsl(sinl(ld_pi_odd[i])) < LDBL_EPSILON);
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assert(cosl(ld_pi_odd[i]) == -1.0);
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assert(fabsl(tanl(ld_pi_odd[i])) < LDBL_EPSILON);
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assert(fabsl(sinl(-ld_pi_odd[i])) < LDBL_EPSILON);
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assert(cosl(-ld_pi_odd[i]) == -1.0);
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assert(fabsl(tanl(-ld_pi_odd[i])) < LDBL_EPSILON);
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assert(fabsl(sinl(ld_pi_odd[i] * 2)) < LDBL_EPSILON);
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assert(cosl(ld_pi_odd[i] * 2) == 1.0);
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assert(fabsl(tanl(ld_pi_odd[i] * 2)) < LDBL_EPSILON);
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assert(fabsl(sinl(-ld_pi_odd[i] * 2)) < LDBL_EPSILON);
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assert(cosl(-ld_pi_odd[i] * 2) == 1.0);
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assert(fabsl(tanl(-ld_pi_odd[i] * 2)) < LDBL_EPSILON);
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}
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#endif
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}
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/*
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* Tests the accuracy of these functions over the primary range.
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*/
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static void
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run_accuracy_tests(void)
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{
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/* For small args, sin(x) = tan(x) = x, and cos(x) = 1. */
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testall(sin, 0xd.50ee515fe4aea16p-114L, 0xd.50ee515fe4aea16p-114L,
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ALL_STD_EXCEPT, FE_INEXACT);
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testall(tan, 0xd.50ee515fe4aea16p-114L, 0xd.50ee515fe4aea16p-114L,
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ALL_STD_EXCEPT, FE_INEXACT);
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testall(cos, 0xd.50ee515fe4aea16p-114L, 1.0,
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ALL_STD_EXCEPT, FE_INEXACT);
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/*
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* These tests should pass for f32, d64, and ld80 as long as
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* the error is <= 0.75 ulp (round to nearest)
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*/
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testall(sin, 0.17255452780841205174L, 0.17169949801444412683L,
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ALL_STD_EXCEPT, FE_INEXACT);
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testall(sin, -0.75431944555904520893L, -0.68479288156557286353L,
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ALL_STD_EXCEPT, FE_INEXACT);
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testall(cos, 0.70556358769838947292L, 0.76124620693117771850L,
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ALL_STD_EXCEPT, FE_INEXACT);
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testall(cos, -0.34061437849088045332L, 0.94254960031831729956L,
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ALL_STD_EXCEPT, FE_INEXACT);
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testall(tan, -0.15862817413325692897L, -0.15997221861309522115L,
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ALL_STD_EXCEPT, FE_INEXACT);
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testall(tan, 0.38374784931303813530L, 0.40376500259976759951L,
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ALL_STD_EXCEPT, FE_INEXACT);
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/*
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* XXX missing:
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* - tests for ld128
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* - tests for other rounding modes (probably won't pass for now)
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* - tests for large numbers that get reduced to hi+lo with lo!=0
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*/
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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..3\n");
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run_special_tests();
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printf("ok 1 - trig\n");
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#ifndef __i386__
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run_reduction_tests();
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#endif
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printf("ok 2 - trig\n");
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#ifndef __i386__
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run_accuracy_tests();
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#endif
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printf("ok 3 - trig\n");
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return (0);
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}
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10
tools/regression/lib/msun/test-trig.t
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10
tools/regression/lib/msun/test-trig.t
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#!/bin/sh
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# $FreeBSD$
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cd `dirname $0`
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executable=`basename $0 .t`
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make $executable 2>&1 > /dev/null
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exec ./$executable
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