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 } 369