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t_sqrt.c revision 1.3.6.1
      1 /* $NetBSD: t_sqrt.c,v 1.3.6.1 2014/08/20 00:04:50 tls 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_sqrt.c,v 1.3.6.1 2014/08/20 00:04:50 tls Exp $");
     33 
     34 #include <atf-c.h>
     35 #include <math.h>
     36 #include <float.h>
     37 #include <stdio.h>
     38 
     39 /*
     40  * sqrt(3)
     41  */
     42 ATF_TC(sqrt_nan);
     43 ATF_TC_HEAD(sqrt_nan, tc)
     44 {
     45 	atf_tc_set_md_var(tc, "descr", "Test sqrt(NaN) == NaN");
     46 }
     47 
     48 ATF_TC_BODY(sqrt_nan, tc)
     49 {
     50 	const double x = 0.0L / 0.0L;
     51 
     52 	ATF_CHECK(isnan(x) != 0);
     53 	ATF_CHECK(isnan(sqrt(x)) != 0);
     54 }
     55 
     56 ATF_TC(sqrt_pow);
     57 ATF_TC_HEAD(sqrt_pow, tc)
     58 {
     59 	atf_tc_set_md_var(tc, "descr", "Test sqrt(3) vs. pow(3)");
     60 }
     61 
     62 ATF_TC_BODY(sqrt_pow, tc)
     63 {
     64 	const double x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.9999 };
     65 #if __DBL_MIN_10_EXP__ <= -40
     66 	const double eps = 1.0e-40;
     67 #else
     68 	const double eps = __DBL_MIN__*4.0;
     69 #endif
     70 	double y, z;
     71 	size_t i;
     72 
     73 	for (i = 0; i < __arraycount(x); i++) {
     74 
     75 		y = sqrt(x[i]);
     76 		z = pow(x[i], 1.0 / 2.0);
     77 
     78 		if (fabs(y - z) > eps)
     79 			atf_tc_fail_nonfatal("sqrt(%0.03f) != "
     80 			    "pow(%0.03f, 1/2)\n", x[i], x[i]);
     81 	}
     82 }
     83 
     84 ATF_TC(sqrt_inf_neg);
     85 ATF_TC_HEAD(sqrt_inf_neg, tc)
     86 {
     87 	atf_tc_set_md_var(tc, "descr", "Test sqrt(-Inf) == NaN");
     88 }
     89 
     90 ATF_TC_BODY(sqrt_inf_neg, tc)
     91 {
     92 	const double x = -1.0L / 0.0L;
     93 	double y = sqrt(x);
     94 
     95 	ATF_CHECK(isnan(y) != 0);
     96 }
     97 
     98 ATF_TC(sqrt_inf_pos);
     99 ATF_TC_HEAD(sqrt_inf_pos, tc)
    100 {
    101 	atf_tc_set_md_var(tc, "descr", "Test sqrt(+Inf) == +Inf");
    102 }
    103 
    104 ATF_TC_BODY(sqrt_inf_pos, tc)
    105 {
    106 	const double x = 1.0L / 0.0L;
    107 	double y = sqrt(x);
    108 
    109 	ATF_CHECK(isinf(y) != 0);
    110 	ATF_CHECK(signbit(y) == 0);
    111 }
    112 
    113 ATF_TC(sqrt_zero_neg);
    114 ATF_TC_HEAD(sqrt_zero_neg, tc)
    115 {
    116 	atf_tc_set_md_var(tc, "descr", "Test sqrt(-0.0) == -0.0");
    117 }
    118 
    119 ATF_TC_BODY(sqrt_zero_neg, tc)
    120 {
    121 	const double x = -0.0L;
    122 	double y = sqrt(x);
    123 
    124 	if (fabs(y) > 0.0 || signbit(y) == 0)
    125 		atf_tc_fail_nonfatal("sqrt(-0.0) != -0.0");
    126 }
    127 
    128 ATF_TC(sqrt_zero_pos);
    129 ATF_TC_HEAD(sqrt_zero_pos, tc)
    130 {
    131 	atf_tc_set_md_var(tc, "descr", "Test sqrt(+0.0) == +0.0");
    132 }
    133 
    134 ATF_TC_BODY(sqrt_zero_pos, tc)
    135 {
    136 	const double x = 0.0L;
    137 	double y = sqrt(x);
    138 
    139 	if (fabs(y) > 0.0 || signbit(y) != 0)
    140 		atf_tc_fail_nonfatal("sqrt(+0.0) != +0.0");
    141 }
    142 
    143 /*
    144  * sqrtf(3)
    145  */
    146 ATF_TC(sqrtf_nan);
    147 ATF_TC_HEAD(sqrtf_nan, tc)
    148 {
    149 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(NaN) == NaN");
    150 }
    151 
    152 ATF_TC_BODY(sqrtf_nan, tc)
    153 {
    154 	const float x = 0.0L / 0.0L;
    155 
    156 	ATF_CHECK(isnan(x) != 0);
    157 	ATF_CHECK(isnan(sqrtf(x)) != 0);
    158 }
    159 
    160 ATF_TC(sqrtf_powf);
    161 ATF_TC_HEAD(sqrtf_powf, tc)
    162 {
    163 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(3) vs. powf(3)");
    164 }
    165 
    166 ATF_TC_BODY(sqrtf_powf, tc)
    167 {
    168 	const float x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.9999 };
    169 	const float eps = 1.0e-30;
    170 	volatile float y, z;
    171 	size_t i;
    172 
    173 	for (i = 0; i < __arraycount(x); i++) {
    174 
    175 		y = sqrtf(x[i]);
    176 		z = powf(x[i], 1.0 / 2.0);
    177 
    178 		if (fabsf(y - z) > eps)
    179 			atf_tc_fail_nonfatal("sqrtf(%0.03f) != "
    180 			    "powf(%0.03f, 1/2)\n", x[i], x[i]);
    181 	}
    182 }
    183 
    184 ATF_TC(sqrtf_inf_neg);
    185 ATF_TC_HEAD(sqrtf_inf_neg, tc)
    186 {
    187 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(-Inf) == NaN");
    188 }
    189 
    190 ATF_TC_BODY(sqrtf_inf_neg, tc)
    191 {
    192 	const float x = -1.0L / 0.0L;
    193 	float y = sqrtf(x);
    194 
    195 	ATF_CHECK(isnan(y) != 0);
    196 }
    197 
    198 ATF_TC(sqrtf_inf_pos);
    199 ATF_TC_HEAD(sqrtf_inf_pos, tc)
    200 {
    201 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(+Inf) == +Inf");
    202 }
    203 
    204 ATF_TC_BODY(sqrtf_inf_pos, tc)
    205 {
    206 	const float x = 1.0L / 0.0L;
    207 	float y = sqrtf(x);
    208 
    209 	ATF_CHECK(isinf(y) != 0);
    210 	ATF_CHECK(signbit(y) == 0);
    211 }
    212 
    213 ATF_TC(sqrtf_zero_neg);
    214 ATF_TC_HEAD(sqrtf_zero_neg, tc)
    215 {
    216 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(-0.0) == -0.0");
    217 }
    218 
    219 ATF_TC_BODY(sqrtf_zero_neg, tc)
    220 {
    221 	const float x = -0.0L;
    222 	float y = sqrtf(x);
    223 
    224 	if (fabsf(y) > 0.0 || signbit(y) == 0)
    225 		atf_tc_fail_nonfatal("sqrtf(-0.0) != -0.0");
    226 }
    227 
    228 ATF_TC(sqrtf_zero_pos);
    229 ATF_TC_HEAD(sqrtf_zero_pos, tc)
    230 {
    231 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(+0.0) == +0.0");
    232 }
    233 
    234 ATF_TC_BODY(sqrtf_zero_pos, tc)
    235 {
    236 	const float x = 0.0L;
    237 	float y = sqrtf(x);
    238 
    239 	if (fabsf(y) > 0.0 || signbit(y) != 0)
    240 		atf_tc_fail_nonfatal("sqrtf(+0.0) != +0.0");
    241 }
    242 
    243 /*
    244  * sqrtl(3)
    245  */
    246 ATF_TC(sqrtl_nan);
    247 ATF_TC_HEAD(sqrtl_nan, tc)
    248 {
    249 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(NaN) == NaN");
    250 }
    251 
    252 ATF_TC_BODY(sqrtl_nan, tc)
    253 {
    254 	const long double x = 0.0L / 0.0L;
    255 
    256 	ATF_CHECK(isnan(x) != 0);
    257 	ATF_CHECK(isnan(sqrtl(x)) != 0);
    258 }
    259 
    260 ATF_TC(sqrtl_powl);
    261 ATF_TC_HEAD(sqrtl_powl, tc)
    262 {
    263 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(3) vs. powl(3)");
    264 }
    265 
    266 ATF_TC_BODY(sqrtl_powl, tc)
    267 {
    268 	const long double x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.9999 };
    269 	const long double eps = 5.0*DBL_EPSILON; /* XXX powl == pow for now */
    270 	volatile long double y, z;
    271 	size_t i;
    272 
    273 	for (i = 0; i < __arraycount(x); i++) {
    274 
    275 		y = sqrtl(x[i]);
    276 		z = powl(x[i], 1.0 / 2.0);
    277 
    278 		if (fabsl(y - z) > eps)
    279 			atf_tc_fail_nonfatal("sqrtl(%0.03Lf) != "
    280 			    "powl(%0.03Lf, 1/2)\n", x[i], x[i]);
    281 	}
    282 }
    283 
    284 ATF_TC(sqrtl_inf_neg);
    285 ATF_TC_HEAD(sqrtl_inf_neg, tc)
    286 {
    287 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(-Inf) == NaN");
    288 }
    289 
    290 ATF_TC_BODY(sqrtl_inf_neg, tc)
    291 {
    292 	const long double x = -1.0L / 0.0L;
    293 	long double y = sqrtl(x);
    294 
    295 	ATF_CHECK(isnan(y) != 0);
    296 }
    297 
    298 ATF_TC(sqrtl_inf_pos);
    299 ATF_TC_HEAD(sqrtl_inf_pos, tc)
    300 {
    301 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(+Inf) == +Inf");
    302 }
    303 
    304 ATF_TC_BODY(sqrtl_inf_pos, tc)
    305 {
    306 	const long double x = 1.0L / 0.0L;
    307 	long double y = sqrtl(x);
    308 
    309 	ATF_CHECK(isinf(y) != 0);
    310 	ATF_CHECK(signbit(y) == 0);
    311 }
    312 
    313 ATF_TC(sqrtl_zero_neg);
    314 ATF_TC_HEAD(sqrtl_zero_neg, tc)
    315 {
    316 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(-0.0) == -0.0");
    317 }
    318 
    319 ATF_TC_BODY(sqrtl_zero_neg, tc)
    320 {
    321 	const long double x = -0.0L;
    322 	long double y = sqrtl(x);
    323 
    324 	if (fabsl(y) > 0.0 || signbit(y) == 0)
    325 		atf_tc_fail_nonfatal("sqrtl(-0.0) != -0.0");
    326 }
    327 
    328 ATF_TC(sqrtl_zero_pos);
    329 ATF_TC_HEAD(sqrtl_zero_pos, tc)
    330 {
    331 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(+0.0) == +0.0");
    332 }
    333 
    334 ATF_TC_BODY(sqrtl_zero_pos, tc)
    335 {
    336 	const long double x = 0.0L;
    337 	long double y = sqrtl(x);
    338 
    339 	if (fabsl(y) > 0.0 || signbit(y) != 0)
    340 		atf_tc_fail_nonfatal("sqrtl(+0.0) != +0.0");
    341 }
    342 
    343 ATF_TP_ADD_TCS(tp)
    344 {
    345 
    346 	ATF_TP_ADD_TC(tp, sqrt_nan);
    347 	ATF_TP_ADD_TC(tp, sqrt_pow);
    348 	ATF_TP_ADD_TC(tp, sqrt_inf_neg);
    349 	ATF_TP_ADD_TC(tp, sqrt_inf_pos);
    350 	ATF_TP_ADD_TC(tp, sqrt_zero_neg);
    351 	ATF_TP_ADD_TC(tp, sqrt_zero_pos);
    352 
    353 	ATF_TP_ADD_TC(tp, sqrtf_nan);
    354 	ATF_TP_ADD_TC(tp, sqrtf_powf);
    355 	ATF_TP_ADD_TC(tp, sqrtf_inf_neg);
    356 	ATF_TP_ADD_TC(tp, sqrtf_inf_pos);
    357 	ATF_TP_ADD_TC(tp, sqrtf_zero_neg);
    358 	ATF_TP_ADD_TC(tp, sqrtf_zero_pos);
    359 
    360 	ATF_TP_ADD_TC(tp, sqrtl_nan);
    361 	ATF_TP_ADD_TC(tp, sqrtl_powl);
    362 	ATF_TP_ADD_TC(tp, sqrtl_inf_neg);
    363 	ATF_TP_ADD_TC(tp, sqrtl_inf_pos);
    364 	ATF_TP_ADD_TC(tp, sqrtl_zero_neg);
    365 	ATF_TP_ADD_TC(tp, sqrtl_zero_pos);
    366 
    367 	return atf_no_error();
    368 }
    369