tests/lib/libm/t_sqrt.c

   1 /* $NetBSD: t_sqrt.c,v 1.7 2014/03/12 21:40:07 martin 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 1.7 2014/03/12 21:40:07 martin 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 }