1 /* $NetBSD: t_asin.c,v 1.4 2018/11/07 03:59:36 riastradh 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 32 #include <atf-c.h> 33 #include <float.h> 34 #include <math.h> 35 36 static const struct { 37 double x; 38 double y; 39 } values[] = { 40 { -1.0, -M_PI / 2, }, 41 { -0.9, -1.119769514998634, }, 42 { -0.5, -M_PI / 6, }, 43 { -0.1, -0.1001674211615598, }, 44 { 0.1, 0.1001674211615598, }, 45 { 0.5, M_PI / 6, }, 46 { 0.9, 1.119769514998634, }, 47 { 1.0, M_PI / 2, }, 48 }; 49 50 /* 51 * asin(3) 52 */ 53 ATF_TC(asin_nan); 54 ATF_TC_HEAD(asin_nan, tc) 55 { 56 atf_tc_set_md_var(tc, "descr", "Test asin(NaN) == NaN"); 57 } 58 59 ATF_TC_BODY(asin_nan, tc) 60 { 61 const double x = 0.0L / 0.0L; 62 63 if (isnan(asin(x)) == 0) 64 atf_tc_fail_nonfatal("asin(NaN) != NaN"); 65 } 66 67 ATF_TC(asin_inf_neg); 68 ATF_TC_HEAD(asin_inf_neg, tc) 69 { 70 atf_tc_set_md_var(tc, "descr", "Test asin(-Inf) == NaN"); 71 } 72 73 ATF_TC_BODY(asin_inf_neg, tc) 74 { 75 const double x = -1.0L / 0.0L; 76 77 if (isnan(asin(x)) == 0) 78 atf_tc_fail_nonfatal("asin(-Inf) != NaN"); 79 } 80 81 ATF_TC(asin_inf_pos); 82 ATF_TC_HEAD(asin_inf_pos, tc) 83 { 84 atf_tc_set_md_var(tc, "descr", "Test asin(+Inf) == NaN"); 85 } 86 87 ATF_TC_BODY(asin_inf_pos, tc) 88 { 89 const double x = 1.0L / 0.0L; 90 91 if (isnan(asin(x)) == 0) 92 atf_tc_fail_nonfatal("asin(+Inf) != NaN"); 93 } 94 95 ATF_TC(asin_range); 96 ATF_TC_HEAD(asin_range, tc) 97 { 98 atf_tc_set_md_var(tc, "descr", "Test asin(x) == NaN, x < -1, x > 1"); 99 } 100 101 ATF_TC_BODY(asin_range, tc) 102 { 103 const double x[] = { -1.1, -1.000000001, 1.1, 1.000000001 }; 104 size_t i; 105 106 for (i = 0; i < __arraycount(x); i++) { 107 108 if (isnan(asin(x[i])) == 0) 109 atf_tc_fail_nonfatal("asin(%f) != NaN", x[i]); 110 } 111 } 112 113 ATF_TC(asin_inrange); 114 ATF_TC_HEAD(asin_inrange, tc) 115 { 116 atf_tc_set_md_var(tc, "descr", "Test asin(x) for some values"); 117 } 118 119 ATF_TC_BODY(asin_inrange, tc) 120 { 121 const double eps = DBL_EPSILON; 122 size_t i; 123 124 for (i = 0; i < __arraycount(values); i++) { 125 double x = values[i].x; 126 double y = values[i].y; 127 128 if (!(fabs((asin(x) - y)/y) <= eps)) 129 atf_tc_fail_nonfatal("asin(%g) != %g", 130 values[i].x, values[i].y); 131 } 132 } 133 134 ATF_TC(asin_zero_neg); 135 ATF_TC_HEAD(asin_zero_neg, tc) 136 { 137 atf_tc_set_md_var(tc, "descr", "Test asin(-0.0) == -0.0"); 138 } 139 140 ATF_TC_BODY(asin_zero_neg, tc) 141 { 142 const double x = -0.0L; 143 double y = asin(x); 144 145 if (fabs(y) > 0.0 || signbit(y) == 0) 146 atf_tc_fail_nonfatal("asin(-0.0) != -0.0"); 147 } 148 149 ATF_TC(asin_zero_pos); 150 ATF_TC_HEAD(asin_zero_pos, tc) 151 { 152 atf_tc_set_md_var(tc, "descr", "Test asin(+0.0) == +0.0"); 153 } 154 155 ATF_TC_BODY(asin_zero_pos, tc) 156 { 157 const double x = 0.0L; 158 double y = asin(x); 159 160 if (fabs(y) > 0.0 || signbit(y) != 0) 161 atf_tc_fail_nonfatal("asin(+0.0) != +0.0"); 162 } 163 164 /* 165 * asinf(3) 166 */ 167 ATF_TC(asinf_nan); 168 ATF_TC_HEAD(asinf_nan, tc) 169 { 170 atf_tc_set_md_var(tc, "descr", "Test asinf(NaN) == NaN"); 171 } 172 173 ATF_TC_BODY(asinf_nan, tc) 174 { 175 const float x = 0.0L / 0.0L; 176 177 if (isnan(asinf(x)) == 0) 178 atf_tc_fail_nonfatal("asinf(NaN) != NaN"); 179 } 180 181 ATF_TC(asinf_inf_neg); 182 ATF_TC_HEAD(asinf_inf_neg, tc) 183 { 184 atf_tc_set_md_var(tc, "descr", "Test asinf(-Inf) == NaN"); 185 } 186 187 ATF_TC_BODY(asinf_inf_neg, tc) 188 { 189 const float x = -1.0L / 0.0L; 190 191 if (isnan(asinf(x)) == 0) 192 atf_tc_fail_nonfatal("asinf(-Inf) != NaN"); 193 } 194 195 ATF_TC(asinf_inf_pos); 196 ATF_TC_HEAD(asinf_inf_pos, tc) 197 { 198 atf_tc_set_md_var(tc, "descr", "Test asinf(+Inf) == NaN"); 199 } 200 201 ATF_TC_BODY(asinf_inf_pos, tc) 202 { 203 const float x = 1.0L / 0.0L; 204 205 if (isnan(asinf(x)) == 0) 206 atf_tc_fail_nonfatal("asinf(+Inf) != NaN"); 207 } 208 209 ATF_TC(asinf_range); 210 ATF_TC_HEAD(asinf_range, tc) 211 { 212 atf_tc_set_md_var(tc, "descr", "Test asinf(x) == NaN, x < -1, x > 1"); 213 } 214 215 ATF_TC_BODY(asinf_range, tc) 216 { 217 const float x[] = { -1.1, -1.0000001, 1.1, 1.0000001 }; 218 size_t i; 219 220 for (i = 0; i < __arraycount(x); i++) { 221 222 if (isnan(asinf(x[i])) == 0) 223 atf_tc_fail_nonfatal("asinf(%f) != NaN", x[i]); 224 } 225 } 226 227 ATF_TC(asinf_inrange); 228 ATF_TC_HEAD(asinf_inrange, tc) 229 { 230 atf_tc_set_md_var(tc, "descr", "Test asinf(x) for some values"); 231 } 232 233 ATF_TC_BODY(asinf_inrange, tc) 234 { 235 const float eps = FLT_EPSILON; 236 size_t i; 237 238 for (i = 0; i < __arraycount(values); i++) { 239 float x = values[i].x; 240 float y = values[i].y; 241 242 if (fabs(x) == 0.5) 243 atf_tc_expect_fail("asinf is busted," 244 " gives ~2ulp error"); 245 if (!(fabsf((asinf(x) - y)/y) <= eps)) { 246 atf_tc_fail_nonfatal("asinf(%.8g) = %.8g != %.8g," 247 " error=~%.1fulp", 248 x, asinf(x), y, fabsf(((asinf(x) - y)/y)/eps)); 249 } 250 if (fabs(x) == 0.5) 251 atf_tc_expect_pass(); 252 } 253 } 254 255 ATF_TC(asinf_zero_neg); 256 ATF_TC_HEAD(asinf_zero_neg, tc) 257 { 258 atf_tc_set_md_var(tc, "descr", "Test asinf(-0.0) == -0.0"); 259 } 260 261 ATF_TC_BODY(asinf_zero_neg, tc) 262 { 263 const float x = -0.0L; 264 float y = asinf(x); 265 266 if (fabsf(y) > 0.0 || signbit(y) == 0) 267 atf_tc_fail_nonfatal("asinf(-0.0) != -0.0"); 268 } 269 270 ATF_TC(asinf_zero_pos); 271 ATF_TC_HEAD(asinf_zero_pos, tc) 272 { 273 atf_tc_set_md_var(tc, "descr", "Test asinf(+0.0) == +0.0"); 274 } 275 276 ATF_TC_BODY(asinf_zero_pos, tc) 277 { 278 const float x = 0.0L; 279 float y = asinf(x); 280 281 if (fabsf(y) > 0.0 || signbit(y) != 0) 282 atf_tc_fail_nonfatal("asinf(+0.0) != +0.0"); 283 } 284 285 ATF_TP_ADD_TCS(tp) 286 { 287 288 ATF_TP_ADD_TC(tp, asin_nan); 289 ATF_TP_ADD_TC(tp, asin_inf_neg); 290 ATF_TP_ADD_TC(tp, asin_inf_pos); 291 ATF_TP_ADD_TC(tp, asin_range); 292 ATF_TP_ADD_TC(tp, asin_inrange); 293 ATF_TP_ADD_TC(tp, asin_zero_neg); 294 ATF_TP_ADD_TC(tp, asin_zero_pos); 295 296 ATF_TP_ADD_TC(tp, asinf_nan); 297 ATF_TP_ADD_TC(tp, asinf_inf_neg); 298 ATF_TP_ADD_TC(tp, asinf_inf_pos); 299 ATF_TP_ADD_TC(tp, asinf_range); 300 ATF_TP_ADD_TC(tp, asinf_inrange); 301 ATF_TP_ADD_TC(tp, asinf_zero_neg); 302 ATF_TP_ADD_TC(tp, asinf_zero_pos); 303 304 return atf_no_error(); 305 } 306