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      1 /* $NetBSD: t_cbrt.c,v 1.6 2024/04/03 01:52:28 christos Exp $ */
      2 
      3 /*-
      4  * Copyright (c) 2011 The NetBSD Foundation, Inc.
      5  * All rights reserved.
      6  *
      7  * This code is derived from software contributed to The NetBSD Foundation
      8  * by Jukka Ruohonen.
      9  *
     10  * Redistribution and use in source and binary forms, with or without
     11  * modification, are permitted provided that the following conditions
     12  * are met:
     13  * 1. Redistributions of source code must retain the above copyright
     14  *    notice, this list of conditions and the following disclaimer.
     15  * 2. Redistributions in binary form must reproduce the above copyright
     16  *    notice, this list of conditions and the following disclaimer in the
     17  *    documentation and/or other materials provided with the distribution.
     18  *
     19  * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
     20  * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
     21  * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
     22  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
     23  * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
     24  * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
     25  * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
     26  * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
     27  * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
     28  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
     29  * POSSIBILITY OF SUCH DAMAGE.
     30  */
     31 #include <sys/cdefs.h>
     32 __RCSID("$NetBSD: t_cbrt.c,v 1.6 2024/04/03 01:52:28 christos Exp $");
     33 
     34 #include <atf-c.h>
     35 #include <float.h>
     36 #include <math.h>
     37 #include <stdio.h>
     38 
     39 /*
     40  * cbrt(3)
     41  */
     42 ATF_TC(cbrt_nan);
     43 ATF_TC_HEAD(cbrt_nan, tc)
     44 {
     45 	atf_tc_set_md_var(tc, "descr", "Test cbrt(NaN) == NaN");
     46 }
     47 
     48 ATF_TC_BODY(cbrt_nan, tc)
     49 {
     50 	const double x = 0.0L / 0.0L;
     51 
     52 	ATF_CHECK(isnan(x) != 0);
     53 	ATF_CHECK(isnan(cbrt(x)) != 0);
     54 }
     55 
     56 ATF_TC(cbrt_pow);
     57 ATF_TC_HEAD(cbrt_pow, tc)
     58 {
     59 	atf_tc_set_md_var(tc, "descr", "Test cbrt(3) vs. pow(3)");
     60 }
     61 
     62 ATF_TC_BODY(cbrt_pow, tc)
     63 {
     64 	const double x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.0 };
     65 	/* Neither cbrt nor pow is required to be correctly rounded.  */
     66 	const double eps = 2*DBL_EPSILON;
     67 	size_t i;
     68 
     69 	for (i = 0; i < __arraycount(x); i++) {
     70 		double x_cbrt = cbrt(x[i]);
     71 		double x_pow13 = pow(x[i], 1.0 / 3.0);
     72 		bool ok;
     73 
     74 		if (x[i] == 0) {
     75 			ok = (x_cbrt == x_pow13);
     76 		} else {
     77 			ok = (fabs((x_cbrt - x_pow13)/x_cbrt) <= eps);
     78 		}
     79 
     80 		if (!ok) {
     81 			atf_tc_fail_nonfatal("cbrt(%.17g) = %.17g != "
     82 			    "pow(%.17g, 1/3) = %.17g\n",
     83 			    x[i], x_cbrt, x[i], x_pow13);
     84 		}
     85 	}
     86 }
     87 
     88 ATF_TC(cbrt_inf_neg);
     89 ATF_TC_HEAD(cbrt_inf_neg, tc)
     90 {
     91 	atf_tc_set_md_var(tc, "descr", "Test cbrt(-Inf) == -Inf");
     92 }
     93 
     94 ATF_TC_BODY(cbrt_inf_neg, tc)
     95 {
     96 	const double x = -1.0L / 0.0L;
     97 	double y = cbrt(x);
     98 
     99 	ATF_CHECK(isinf(y) != 0);
    100 	ATF_CHECK(signbit(y) != 0);
    101 }
    102 
    103 ATF_TC(cbrt_inf_pos);
    104 ATF_TC_HEAD(cbrt_inf_pos, tc)
    105 {
    106 	atf_tc_set_md_var(tc, "descr", "Test cbrt(+Inf) == +Inf");
    107 }
    108 
    109 ATF_TC_BODY(cbrt_inf_pos, tc)
    110 {
    111 	const double x = 1.0L / 0.0L;
    112 	double y = cbrt(x);
    113 
    114 	ATF_CHECK(isinf(y) != 0);
    115 	ATF_CHECK(signbit(y) == 0);
    116 }
    117 
    118 ATF_TC(cbrt_zero_neg);
    119 ATF_TC_HEAD(cbrt_zero_neg, tc)
    120 {
    121 	atf_tc_set_md_var(tc, "descr", "Test cbrt(-0.0) == -0.0");
    122 }
    123 
    124 ATF_TC_BODY(cbrt_zero_neg, tc)
    125 {
    126 	const double x = -0.0L;
    127 	double y = cbrt(x);
    128 
    129 	if (fabs(y) > 0.0 || signbit(y) == 0)
    130 		atf_tc_fail_nonfatal("cbrt(-0.0) != -0.0");
    131 }
    132 
    133 ATF_TC(cbrt_zero_pos);
    134 ATF_TC_HEAD(cbrt_zero_pos, tc)
    135 {
    136 	atf_tc_set_md_var(tc, "descr", "Test cbrt(+0.0) == +0.0");
    137 }
    138 
    139 ATF_TC_BODY(cbrt_zero_pos, tc)
    140 {
    141 	const double x = 0.0L;
    142 	double y = cbrt(x);
    143 
    144 	if (fabs(y) > 0.0 || signbit(y) != 0)
    145 		atf_tc_fail_nonfatal("cbrt(+0.0) != +0.0");
    146 }
    147 
    148 /*
    149  * cbrtf(3)
    150  */
    151 ATF_TC(cbrtf_nan);
    152 ATF_TC_HEAD(cbrtf_nan, tc)
    153 {
    154 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(NaN) == NaN");
    155 }
    156 
    157 ATF_TC_BODY(cbrtf_nan, tc)
    158 {
    159 	const float x = 0.0L / 0.0L;
    160 
    161 	ATF_CHECK(isnan(x) != 0);
    162 	ATF_CHECK(isnan(cbrtf(x)) != 0);
    163 }
    164 
    165 ATF_TC(cbrtf_powf);
    166 ATF_TC_HEAD(cbrtf_powf, tc)
    167 {
    168 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(3) vs. powf(3)");
    169 }
    170 
    171 ATF_TC_BODY(cbrtf_powf, tc)
    172 {
    173 	const float x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.0 };
    174 	/* Neither cbrt nor pow is required to be correctly rounded.  */
    175 	const float eps = 2*FLT_EPSILON;
    176 	size_t i;
    177 
    178 	for (i = 0; i < __arraycount(x); i++) {
    179 		float x_cbrt = cbrtf(x[i]);
    180 		float x_pow13 = powf(x[i], 1.0 / 3.0);
    181 		bool ok;
    182 
    183 		if (x[i] == 0) {
    184 			ok = (x_cbrt == x_pow13);
    185 		} else {
    186 			ok = (fabsf((x_cbrt - x_pow13)/x_cbrt) <= eps);
    187 		}
    188 
    189 		if (!ok) {
    190 			atf_tc_fail_nonfatal("cbrtf(%.9g) = %.9g. != "
    191 			    "powf(%.9g, 1/3) = %.9g\n",
    192 			    (double)x[i], (double)x_cbrt,
    193 			    (double)x[i], (double)x_pow13);
    194 		}
    195 	}
    196 }
    197 
    198 ATF_TC(cbrtf_inf_neg);
    199 ATF_TC_HEAD(cbrtf_inf_neg, tc)
    200 {
    201 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(-Inf) == -Inf");
    202 }
    203 
    204 ATF_TC_BODY(cbrtf_inf_neg, tc)
    205 {
    206 	const float x = -1.0L / 0.0L;
    207 	float y = cbrtf(x);
    208 
    209 	ATF_CHECK(isinf(y) != 0);
    210 	ATF_CHECK(signbit(y) != 0);
    211 }
    212 
    213 ATF_TC(cbrtf_inf_pos);
    214 ATF_TC_HEAD(cbrtf_inf_pos, tc)
    215 {
    216 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(+Inf) == +Inf");
    217 }
    218 
    219 ATF_TC_BODY(cbrtf_inf_pos, tc)
    220 {
    221 	const float x = 1.0L / 0.0L;
    222 	float y = cbrtf(x);
    223 
    224 	ATF_CHECK(isinf(y) != 0);
    225 	ATF_CHECK(signbit(y) == 0);
    226 }
    227 
    228 ATF_TC(cbrtf_zero_neg);
    229 ATF_TC_HEAD(cbrtf_zero_neg, tc)
    230 {
    231 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(-0.0) == -0.0");
    232 }
    233 
    234 ATF_TC_BODY(cbrtf_zero_neg, tc)
    235 {
    236 	const float x = -0.0L;
    237 	float y = cbrtf(x);
    238 
    239 	if (fabsf(y) > 0.0 || signbit(y) == 0)
    240 		atf_tc_fail_nonfatal("cbrtf(-0.0) != -0.0");
    241 }
    242 
    243 ATF_TC(cbrtf_zero_pos);
    244 ATF_TC_HEAD(cbrtf_zero_pos, tc)
    245 {
    246 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(+0.0) == +0.0");
    247 }
    248 
    249 ATF_TC_BODY(cbrtf_zero_pos, tc)
    250 {
    251 	const float x = 0.0L;
    252 	float y = cbrtf(x);
    253 
    254 	if (fabsf(y) > 0.0 || signbit(y) != 0)
    255 		atf_tc_fail_nonfatal("cbrtf(+0.0) != +0.0");
    256 }
    257 
    258 /*
    259  * cbrtl(3)
    260  */
    261 ATF_TC(cbrtl_nan);
    262 ATF_TC_HEAD(cbrtl_nan, tc)
    263 {
    264 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(NaN) == NaN");
    265 }
    266 
    267 ATF_TC_BODY(cbrtl_nan, tc)
    268 {
    269 	const long double x = 0.0L / 0.0L;
    270 
    271 	ATF_CHECK(isnan(x) != 0);
    272 	ATF_CHECK(isnan(cbrtl(x)) != 0);
    273 }
    274 
    275 ATF_TC(cbrtl_powl);
    276 ATF_TC_HEAD(cbrtl_powl, tc)
    277 {
    278 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(3) vs. powl(3)");
    279 }
    280 
    281 ATF_TC_BODY(cbrtl_powl, tc)
    282 {
    283 	const long double x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.0 };
    284 	/* Neither cbrt nor pow is required to be correctly rounded.  */
    285 	const long double eps = 2*LDBL_EPSILON;
    286 	size_t i;
    287 
    288 	for (i = 0; i < __arraycount(x); i++) {
    289 		long double x_cbrt = cbrtl(x[i]);
    290 		long double x_pow13 = powl(x[i], 1.0L / 3.0L);
    291 		bool ok;
    292 
    293 		if (x[i] == 0) {
    294 			ok = (x_cbrt == x_pow13);
    295 		} else {
    296 			ok = (fabsl((x_cbrt - x_pow13)/x_cbrt) <= eps);
    297 		}
    298 
    299 		if (!ok) {
    300 			atf_tc_fail_nonfatal("cbrtl(%.35Lg) = %.35Lg != "
    301 			    "powl(%.35Lg, 1/3) = %.35Lg\n",
    302 			    x[i], x_cbrt, x[i], x_pow13);
    303 		}
    304 	}
    305 }
    306 
    307 ATF_TC(cbrtl_inf_neg);
    308 ATF_TC_HEAD(cbrtl_inf_neg, tc)
    309 {
    310 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(-Inf) == -Inf");
    311 }
    312 
    313 ATF_TC_BODY(cbrtl_inf_neg, tc)
    314 {
    315 	const long double x = -1.0L / 0.0L;
    316 	long double y = cbrtl(x);
    317 
    318 	ATF_CHECK(isinf(y) != 0);
    319 	ATF_CHECK(signbit(y) != 0);
    320 }
    321 
    322 ATF_TC(cbrtl_inf_pos);
    323 ATF_TC_HEAD(cbrtl_inf_pos, tc)
    324 {
    325 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(+Inf) == +Inf");
    326 }
    327 
    328 ATF_TC_BODY(cbrtl_inf_pos, tc)
    329 {
    330 	const long double x = 1.0L / 0.0L;
    331 	long double y = cbrtl(x);
    332 
    333 	ATF_CHECK(isinf(y) != 0);
    334 	ATF_CHECK(signbit(y) == 0);
    335 }
    336 
    337 ATF_TC(cbrtl_zero_neg);
    338 ATF_TC_HEAD(cbrtl_zero_neg, tc)
    339 {
    340 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(-0.0) == -0.0");
    341 }
    342 
    343 ATF_TC_BODY(cbrtl_zero_neg, tc)
    344 {
    345 	const long double x = -0.0L;
    346 	long double y = cbrtl(x);
    347 
    348 	if (fabsl(y) > 0.0 || signbit(y) == 0)
    349 		atf_tc_fail_nonfatal("cbrtl(-0.0) != -0.0");
    350 }
    351 
    352 ATF_TC(cbrtl_zero_pos);
    353 ATF_TC_HEAD(cbrtl_zero_pos, tc)
    354 {
    355 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(+0.0) == +0.0");
    356 }
    357 
    358 ATF_TC_BODY(cbrtl_zero_pos, tc)
    359 {
    360 	const long double x = 0.0L;
    361 	long double y = cbrtl(x);
    362 
    363 	if (fabsl(y) > 0.0 || signbit(y) != 0)
    364 		atf_tc_fail_nonfatal("cbrtl(+0.0) != +0.0");
    365 }
    366 
    367 ATF_TP_ADD_TCS(tp)
    368 {
    369 
    370 	ATF_TP_ADD_TC(tp, cbrt_nan);
    371 	ATF_TP_ADD_TC(tp, cbrt_pow);
    372 	ATF_TP_ADD_TC(tp, cbrt_inf_neg);
    373 	ATF_TP_ADD_TC(tp, cbrt_inf_pos);
    374 	ATF_TP_ADD_TC(tp, cbrt_zero_neg);
    375 	ATF_TP_ADD_TC(tp, cbrt_zero_pos);
    376 
    377 	ATF_TP_ADD_TC(tp, cbrtf_nan);
    378 	ATF_TP_ADD_TC(tp, cbrtf_powf);
    379 	ATF_TP_ADD_TC(tp, cbrtf_inf_neg);
    380 	ATF_TP_ADD_TC(tp, cbrtf_inf_pos);
    381 	ATF_TP_ADD_TC(tp, cbrtf_zero_neg);
    382 	ATF_TP_ADD_TC(tp, cbrtf_zero_pos);
    383 
    384 	ATF_TP_ADD_TC(tp, cbrtl_nan);
    385 	ATF_TP_ADD_TC(tp, cbrtl_powl);
    386 	ATF_TP_ADD_TC(tp, cbrtl_inf_neg);
    387 	ATF_TP_ADD_TC(tp, cbrtl_inf_pos);
    388 	ATF_TP_ADD_TC(tp, cbrtl_zero_neg);
    389 	ATF_TP_ADD_TC(tp, cbrtl_zero_pos);
    390 
    391 	return atf_no_error();
    392 }
    393