diff options
Diffstat (limited to 'lib/libm/t_ldexp.c')
-rw-r--r-- | lib/libm/t_ldexp.c | 481 |
1 files changed, 481 insertions, 0 deletions
diff --git a/lib/libm/t_ldexp.c b/lib/libm/t_ldexp.c new file mode 100644 index 000000000000..9dd001d413fe --- /dev/null +++ b/lib/libm/t_ldexp.c @@ -0,0 +1,481 @@ +/* $NetBSD: t_ldexp.c,v 1.13 2014/03/12 21:40:07 martin Exp $ */ + +/*- + * Copyright (c) 2011 The NetBSD Foundation, Inc. + * All rights reserved. + * + * This code is derived from software contributed to The NetBSD Foundation + * by Jukka Ruohonen. + * + * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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. + */ +#include <sys/cdefs.h> +__RCSID("$NetBSD: t_ldexp.c,v 1.13 2014/03/12 21:40:07 martin Exp $"); + +#include <sys/param.h> + +#include <atf-c.h> +#include <atf-c/config.h> + +#include <math.h> +#include <limits.h> +#include <stdio.h> +#include <string.h> + +#define SKIP 9999 +#define FORMAT "%23.23lg" + +static const int exps[] = { 0, 1, -1, 100, -100 }; + +struct ldexp_test { + double x; + int exp1; + int exp2; + const char *result; +}; + +struct ldexp_test ldexp_basic[] = { + { 1.0, 5, SKIP, " 32" }, + { 1.0, 1022, SKIP, "4.4942328371557897693233e+307" }, + { 1.0, 1023, -1, "4.4942328371557897693233e+307" }, + { 1.0, 1023, SKIP, "8.9884656743115795386465e+307" }, + { 1.0, 1022, 1, "8.9884656743115795386465e+307" }, + { 1.0, -1022, 2045, "8.9884656743115795386465e+307" }, + { 1.0, -5, SKIP, " 0.03125" }, + { 1.0, -1021, SKIP, "4.4501477170144027661805e-308" }, + { 1.0, -1022, 1, "4.4501477170144027661805e-308" }, + { 1.0, -1022, SKIP, "2.2250738585072013830902e-308" }, + { 1.0, -1021, -1, "2.2250738585072013830902e-308" }, + { 1.0, 1023, -2045, "2.2250738585072013830902e-308" }, + { 1.0, 1023, -1023, " 1" }, + { 1.0, -1022, 1022, " 1" }, + { 0, 0, 0, NULL } +}; + +struct ldexp_test ldexp_zero[] = { + { 0.0, -1, SKIP, " 0" }, + { 0.0, 0, SKIP, " 0" }, + { 0.0, 1, SKIP, " 0" }, + { 0.0, 1024, SKIP, " 0" }, + { 0.0, 1025, SKIP, " 0" }, + { 0.0, -1023, SKIP, " 0" }, + { 0.0, -1024, SKIP, " 0" }, + { 0, 0, 0, NULL } +}; + +struct ldexp_test ldexp_infinity[] = { + { 1.0, 1024, -1, " inf" }, + { 1.0, 1024, 0, " inf" }, + { 1.0, 1024, 1, " inf" }, + { -1.0, 1024, -1, " -inf" }, + { -1.0, 1024, 0, " -inf" }, + { -1.0, 1024, 1, " -inf" }, + { 0, 0, 0, NULL } +}; + +struct ldexp_test ldexp_overflow[] = { + { 1.0, 1024, SKIP, " inf" }, + { 1.0, 1023, 1, " inf" }, + { 1.0, -1022, 2046, " inf" }, + { 1.0, 1025, SKIP, " inf" }, + { -1.0, 1024, SKIP, " -inf" }, + { -1.0, 1023, 1, " -inf" }, + { -1.0, -1022, 2046, " -inf" }, + { -1.0, 1025, SKIP, " -inf" }, + { 0, 0, 0, NULL } +}; + +struct ldexp_test ldexp_denormal[] = { + { 1.0, -1023, SKIP, "1.1125369292536006915451e-308" }, + { 1.0, -1022, -1, "1.1125369292536006915451e-308" }, + { 1.0, 1023, -2046, "1.1125369292536006915451e-308" }, + { 1.0, -1024, SKIP, "5.5626846462680034577256e-309" }, + { 1.0, -1074, SKIP, "4.9406564584124654417657e-324" }, + { -1.0, -1023, SKIP, "-1.1125369292536006915451e-308" }, + { -1.0, -1022, -1, "-1.1125369292536006915451e-308" }, + { -1.0, 1023, -2046, "-1.1125369292536006915451e-308" }, + { -1.0, -1024, SKIP, "-5.5626846462680034577256e-309" }, + { -1.0, -1074, SKIP, "-4.9406564584124654417657e-324" }, + { 0, 0, 0, NULL } +}; + +struct ldexp_test ldexp_underflow[] = { + { 1.0, -1075, SKIP, " 0" }, + { 1.0, -1074, -1, " 0" }, + { 1.0, 1023, -2098, " 0" }, + { 1.0, -1076, SKIP, " 0" }, + { -1.0, -1075, SKIP, " -0" }, + { -1.0, -1074, -1, " -0" }, + { -1.0, 1023, -2098, " -0" }, + { -1.0, -1076, SKIP, " -0" }, + { 0, 0, 0, NULL } +}; + +struct ldexp_test ldexp_denormal_large[] = { + { 1.0, -1028, 1024, " 0.0625" }, + { 1.0, -1028, 1025, " 0.125" }, + { 1.0, -1028, 1026, " 0.25" }, + { 1.0, -1028, 1027, " 0.5" }, + { 1.0, -1028, 1028, " 1" }, + { 1.0, -1028, 1029, " 2" }, + { 1.0, -1028, 1030, " 4" }, + { 1.0, -1028, 1040, " 4096" }, + { 1.0, -1028, 1050, " 4194304" }, + { 1.0, -1028, 1060, " 4294967296" }, + { 1.0, -1028, 1100, " 4722366482869645213696" }, + { 1.0, -1028, 1200, "5.9863107065073783529623e+51" }, + { 1.0, -1028, 1300, "7.5885503602567541832791e+81" }, + { 1.0, -1028, 1400, "9.6196304190416209014353e+111" }, + { 1.0, -1028, 1500, "1.2194330274671844653834e+142" }, + { 1.0, -1028, 1600, "1.5458150092069033378781e+172" }, + { 1.0, -1028, 1700, "1.9595533242629369747791e+202" }, + { 1.0, -1028, 1800, "2.4840289476811342962384e+232" }, + { 1.0, -1028, 1900, "3.1488807865122869393369e+262" }, + { 1.0, -1028, 2000, "3.9916806190694396233127e+292" }, + { 1.0, -1028, 2046, "2.808895523222368605827e+306" }, + { 1.0, -1028, 2047, "5.6177910464447372116541e+306" }, + { 1.0, -1028, 2048, "1.1235582092889474423308e+307" }, + { 1.0, -1028, 2049, "2.2471164185778948846616e+307" }, + { 1.0, -1028, 2050, "4.4942328371557897693233e+307" }, + { 1.0, -1028, 2051, "8.9884656743115795386465e+307" }, + { 0, 0, 0, NULL } +}; + +static void +run_test(struct ldexp_test *table) +{ + char outbuf[64]; + size_t i; + double v; + + for (i = 0; table->result != NULL; table++, i++) { + + v = ldexp(table->x, table->exp1); + + if (table->exp2 == SKIP) + continue; + + v = ldexp(v, table->exp2); + + (void)snprintf(outbuf, sizeof(outbuf), FORMAT, v); + + ATF_CHECK_STREQ_MSG(table->result, outbuf, + "Entry %zu:\n\tExp: \"%s\"\n\tAct: \"%s\"", + i, table->result, outbuf); + } +} + +/* + * ldexp(3) + */ +ATF_TC(ldexp_exp2); +ATF_TC_HEAD(ldexp_exp2, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexp(x, n) == x * exp2(n)"); +} + +ATF_TC_BODY(ldexp_exp2, tc) +{ + const double n[] = { 1, 2, 3, 10, 50, 100 }; +#if __DBL_MIN_10_EXP__ <= -40 + const double eps = 1.0e-40; +#else + const double eps = __DBL_MIN__*4.0; +#endif + const double x = 12.0; + double y; + size_t i; + + for (i = 0; i < __arraycount(n); i++) { + + y = ldexp(x, n[i]); + + if (fabs(y - (x * exp2(n[i]))) > eps) { + atf_tc_fail_nonfatal("ldexp(%0.01f, %0.01f) " + "!= %0.01f * exp2(%0.01f)", x, n[i], x, n[i]); + } + } +} + +ATF_TC(ldexp_nan); +ATF_TC_HEAD(ldexp_nan, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexp(NaN) == NaN"); +} + +ATF_TC_BODY(ldexp_nan, tc) +{ + const double x = 0.0L / 0.0L; + double y; + size_t i; + + ATF_REQUIRE(isnan(x) != 0); + + for (i = 0; i < __arraycount(exps); i++) { + y = ldexp(x, exps[i]); + ATF_CHECK(isnan(y) != 0); + } +} + +ATF_TC(ldexp_inf_neg); +ATF_TC_HEAD(ldexp_inf_neg, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexp(-Inf) == -Inf"); +} + +ATF_TC_BODY(ldexp_inf_neg, tc) +{ + const double x = -1.0L / 0.0L; + size_t i; + + for (i = 0; i < __arraycount(exps); i++) + ATF_CHECK(ldexp(x, exps[i]) == x); +} + +ATF_TC(ldexp_inf_pos); +ATF_TC_HEAD(ldexp_inf_pos, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexp(+Inf) == +Inf"); +} + +ATF_TC_BODY(ldexp_inf_pos, tc) +{ + const double x = 1.0L / 0.0L; + size_t i; + + for (i = 0; i < __arraycount(exps); i++) + ATF_CHECK(ldexp(x, exps[i]) == x); +} + +ATF_TC(ldexp_zero_neg); +ATF_TC_HEAD(ldexp_zero_neg, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexp(-0.0) == -0.0"); +} + +ATF_TC_BODY(ldexp_zero_neg, tc) +{ + const double x = -0.0L; + double y; + size_t i; + + ATF_REQUIRE(signbit(x) != 0); + + for (i = 0; i < __arraycount(exps); i++) { + y = ldexp(x, exps[i]); + ATF_CHECK(x == y); + ATF_CHECK(signbit(y) != 0); + } +} + +ATF_TC(ldexp_zero_pos); +ATF_TC_HEAD(ldexp_zero_pos, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexp(+0.0) == +0.0"); +} + +ATF_TC_BODY(ldexp_zero_pos, tc) +{ + const double x = 0.0L; + double y; + size_t i; + + ATF_REQUIRE(signbit(x) == 0); + + for (i = 0; i < __arraycount(exps); i++) { + y = ldexp(x, exps[i]); + ATF_CHECK(x == y); + ATF_CHECK(signbit(y) == 0); + } +} + +/* + * ldexpf(3) + */ + +ATF_TC(ldexpf_exp2f); +ATF_TC_HEAD(ldexpf_exp2f, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexpf(x, n) == x * exp2f(n)"); +} + +ATF_TC_BODY(ldexpf_exp2f, tc) +{ + const float n[] = { 1, 2, 3, 10, 50, 100 }; + const float eps = 1.0e-9; + const float x = 12.0; + float y; + size_t i; + + for (i = 0; i < __arraycount(n); i++) { + + y = ldexpf(x, n[i]); + + if (fabsf(y - (x * exp2f(n[i]))) > eps) { + atf_tc_fail_nonfatal("ldexpf(%0.01f, %0.01f) " + "!= %0.01f * exp2f(%0.01f)", x, n[i], x, n[i]); + } + } +} + +ATF_TC(ldexpf_nan); +ATF_TC_HEAD(ldexpf_nan, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexpf(NaN) == NaN"); +} + +ATF_TC_BODY(ldexpf_nan, tc) +{ + const float x = 0.0L / 0.0L; + float y; + size_t i; + + ATF_REQUIRE(isnan(x) != 0); + + for (i = 0; i < __arraycount(exps); i++) { + y = ldexpf(x, exps[i]); + ATF_CHECK(isnan(y) != 0); + } +} + +ATF_TC(ldexpf_inf_neg); +ATF_TC_HEAD(ldexpf_inf_neg, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexpf(-Inf) == -Inf"); +} + +ATF_TC_BODY(ldexpf_inf_neg, tc) +{ + const float x = -1.0L / 0.0L; + size_t i; + + for (i = 0; i < __arraycount(exps); i++) + ATF_CHECK(ldexpf(x, exps[i]) == x); +} + +ATF_TC(ldexpf_inf_pos); +ATF_TC_HEAD(ldexpf_inf_pos, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexpf(+Inf) == +Inf"); +} + +ATF_TC_BODY(ldexpf_inf_pos, tc) +{ + const float x = 1.0L / 0.0L; + size_t i; + + for (i = 0; i < __arraycount(exps); i++) + ATF_CHECK(ldexpf(x, exps[i]) == x); +} + +ATF_TC(ldexpf_zero_neg); +ATF_TC_HEAD(ldexpf_zero_neg, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexpf(-0.0) == -0.0"); +} + +ATF_TC_BODY(ldexpf_zero_neg, tc) +{ + const float x = -0.0L; + float y; + size_t i; + + ATF_REQUIRE(signbit(x) != 0); + + for (i = 0; i < __arraycount(exps); i++) { + y = ldexpf(x, exps[i]); + ATF_CHECK(x == y); + ATF_CHECK(signbit(y) != 0); + } +} + +ATF_TC(ldexpf_zero_pos); +ATF_TC_HEAD(ldexpf_zero_pos, tc) +{ + atf_tc_set_md_var(tc, "descr", "Test ldexpf(+0.0) == +0.0"); +} + +ATF_TC_BODY(ldexpf_zero_pos, tc) +{ + const float x = 0.0L; + float y; + size_t i; + + ATF_REQUIRE(signbit(x) == 0); + + for (i = 0; i < __arraycount(exps); i++) { + y = ldexpf(x, exps[i]); + ATF_CHECK(x == y); + ATF_CHECK(signbit(y) == 0); + } +} + +#define TEST(name, desc) \ + ATF_TC(name); \ + ATF_TC_HEAD(name, tc) \ + { \ + \ + atf_tc_set_md_var(tc, "descr", \ + "Test ldexp(3) for " ___STRING(desc)); \ + } \ + ATF_TC_BODY(name, tc) \ + { \ + if (strcmp("vax", MACHINE_ARCH) == 0) \ + atf_tc_skip("Test not valid for " MACHINE_ARCH); \ + run_test(name); \ + } + +TEST(ldexp_basic, basics) +TEST(ldexp_zero, zero) +TEST(ldexp_infinity, infinity) +TEST(ldexp_overflow, overflow) +TEST(ldexp_denormal, denormal) +TEST(ldexp_denormal_large, large) +TEST(ldexp_underflow, underflow) + +ATF_TP_ADD_TCS(tp) +{ + + ATF_TP_ADD_TC(tp, ldexp_basic); + ATF_TP_ADD_TC(tp, ldexp_zero); + ATF_TP_ADD_TC(tp, ldexp_infinity); + ATF_TP_ADD_TC(tp, ldexp_overflow); + ATF_TP_ADD_TC(tp, ldexp_denormal); + ATF_TP_ADD_TC(tp, ldexp_underflow); + ATF_TP_ADD_TC(tp, ldexp_denormal_large); + + ATF_TP_ADD_TC(tp, ldexp_exp2); + ATF_TP_ADD_TC(tp, ldexp_nan); + ATF_TP_ADD_TC(tp, ldexp_inf_neg); + ATF_TP_ADD_TC(tp, ldexp_inf_pos); + ATF_TP_ADD_TC(tp, ldexp_zero_neg); + ATF_TP_ADD_TC(tp, ldexp_zero_pos); + + ATF_TP_ADD_TC(tp, ldexpf_exp2f); + ATF_TP_ADD_TC(tp, ldexpf_nan); + ATF_TP_ADD_TC(tp, ldexpf_inf_neg); + ATF_TP_ADD_TC(tp, ldexpf_inf_pos); + ATF_TP_ADD_TC(tp, ldexpf_zero_neg); + ATF_TP_ADD_TC(tp, ldexpf_zero_pos); + + return atf_no_error(); +} |