1 /* $NetBSD: t_tan.c,v 1.8 2024/06/09 16:53:12 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 <assert.h> 33 #include <atf-c.h> 34 #include <float.h> 35 #include <math.h> 36 37 static const struct { 38 int angle; 39 double x; 40 double y; 41 float fy; 42 } angles[] = { 43 { -180, -3.141592653589793, 1.2246467991473532e-16, -8.7422777e-08 }, 44 { -135, -2.356194490192345, 1.0000000000000002, 999 }, 45 { -45, -0.785398163397448, -0.9999999999999992, 999 }, 46 { 0, 0.000000000000000, 0.0000000000000000, 999 }, 47 { 30, 0.5235987755982988, 0.57735026918962573, 999 }, 48 { 45, 0.785398163397448, 0.9999999999999992, 999 }, 49 { 60, 1.047197551196598, 1.7320508075688785, 1.7320509 }, 50 { 120, 2.094395102393195, -1.7320508075688801, -1.7320505 }, 51 { 135, 2.356194490192345, -1.0000000000000002, 999 }, 52 { 150, 2.617993877991494, -0.57735026918962629, -0.57735032 }, 53 { 180, 3.141592653589793, -1.2246467991473532e-16, 8.7422777e-08 }, 54 { 360, 6.283185307179586, -2.4492935982947064e-16, 1.7484555e-07 }, 55 }; 56 57 /* 58 * tan(3) 59 */ 60 ATF_TC(tan_angles); 61 ATF_TC_HEAD(tan_angles, tc) 62 { 63 atf_tc_set_md_var(tc, "descr", "Test some selected angles"); 64 } 65 66 ATF_TC_BODY(tan_angles, tc) 67 { 68 const double eps = DBL_EPSILON; 69 size_t i; 70 71 for (i = 0; i < __arraycount(angles); i++) { 72 int deg = angles[i].angle; 73 double theta = angles[i].x; 74 double tan_theta = angles[i].y; 75 bool ok; 76 77 if (theta == 0) { 78 /* Should be computed exactly. */ 79 assert(tan_theta == 0); 80 ok = (tan(theta) == 0); 81 } else { 82 assert(tan_theta != 0); 83 ok = (fabs((tan(theta) - tan_theta)/tan_theta) <= eps); 84 } 85 86 if (!ok) { 87 atf_tc_fail_nonfatal("tan(%d deg = %.17g) = %.17g" 88 " != %.17g", 89 deg, theta, tan(theta), tan_theta); 90 } 91 } 92 } 93 94 ATF_TC(tan_nan); 95 ATF_TC_HEAD(tan_nan, tc) 96 { 97 atf_tc_set_md_var(tc, "descr", "Test tan(NaN) == NaN"); 98 } 99 100 ATF_TC_BODY(tan_nan, tc) 101 { 102 const double x = 0.0L / 0.0L; 103 104 ATF_CHECK(isnan(x) != 0); 105 ATF_CHECK(isnan(tan(x)) != 0); 106 } 107 108 ATF_TC(tan_inf_neg); 109 ATF_TC_HEAD(tan_inf_neg, tc) 110 { 111 atf_tc_set_md_var(tc, "descr", "Test tan(-Inf) == NaN"); 112 } 113 114 ATF_TC_BODY(tan_inf_neg, tc) 115 { 116 const volatile double x = -1.0 / 0.0; 117 const double y = tan(x); 118 119 ATF_CHECK_MSG(isnan(y), "y=%a", y); 120 } 121 122 ATF_TC(tan_inf_pos); 123 ATF_TC_HEAD(tan_inf_pos, tc) 124 { 125 atf_tc_set_md_var(tc, "descr", "Test tan(+Inf) == NaN"); 126 } 127 128 ATF_TC_BODY(tan_inf_pos, tc) 129 { 130 const volatile double x = 1.0 / 0.0; 131 const double y = tan(x); 132 133 ATF_CHECK_MSG(isnan(y), "y=%a", y); 134 } 135 136 137 ATF_TC(tan_zero_neg); 138 ATF_TC_HEAD(tan_zero_neg, tc) 139 { 140 atf_tc_set_md_var(tc, "descr", "Test tan(-0.0) == -0.0"); 141 } 142 143 ATF_TC_BODY(tan_zero_neg, tc) 144 { 145 const double x = -0.0L; 146 147 ATF_CHECK(tan(x) == x); 148 } 149 150 ATF_TC(tan_zero_pos); 151 ATF_TC_HEAD(tan_zero_pos, tc) 152 { 153 atf_tc_set_md_var(tc, "descr", "Test tan(+0.0) == +0.0"); 154 } 155 156 ATF_TC_BODY(tan_zero_pos, tc) 157 { 158 const double x = 0.0L; 159 160 ATF_CHECK(tan(x) == x); 161 } 162 163 /* 164 * tanf(3) 165 */ 166 ATF_TC(tanf_angles); 167 ATF_TC_HEAD(tanf_angles, tc) 168 { 169 atf_tc_set_md_var(tc, "descr", "Test some selected angles"); 170 } 171 172 ATF_TC_BODY(tanf_angles, tc) 173 { 174 const float eps = FLT_EPSILON; 175 size_t i; 176 177 for (i = 0; i < __arraycount(angles); i++) { 178 int deg = angles[i].angle; 179 float theta = angles[i].x; 180 float tan_theta = angles[i].fy; 181 bool ok; 182 183 if (tan_theta == 999) 184 tan_theta = angles[i].y; 185 186 if (theta == 0) { 187 /* Should be computed exactly. */ 188 assert(tan_theta == 0); 189 ok = (tan(theta) == 0); 190 } else { 191 assert(tan_theta != 0); 192 ok = (fabsf((tanf(theta) - tan_theta)/tan_theta) 193 <= eps); 194 } 195 196 if (!ok) { 197 atf_tc_fail_nonfatal("tanf(%d deg) = %.8g != %.8g", 198 deg, tanf(theta), tan_theta); 199 } 200 } 201 } 202 203 ATF_TC(tanf_nan); 204 ATF_TC_HEAD(tanf_nan, tc) 205 { 206 atf_tc_set_md_var(tc, "descr", "Test tanf(NaN) == NaN"); 207 } 208 209 ATF_TC_BODY(tanf_nan, tc) 210 { 211 const float x = 0.0L / 0.0L; 212 213 ATF_CHECK(isnan(x) != 0); 214 ATF_CHECK(isnan(tanf(x)) != 0); 215 } 216 217 ATF_TC(tanf_inf_neg); 218 ATF_TC_HEAD(tanf_inf_neg, tc) 219 { 220 atf_tc_set_md_var(tc, "descr", "Test tanf(-Inf) == NaN"); 221 } 222 223 ATF_TC_BODY(tanf_inf_neg, tc) 224 { 225 const volatile float x = -1.0f / 0.0f; 226 const float y = tanf(x); 227 228 ATF_CHECK_MSG(isnan(y), "y=%a", y); 229 } 230 231 ATF_TC(tanf_inf_pos); 232 ATF_TC_HEAD(tanf_inf_pos, tc) 233 { 234 atf_tc_set_md_var(tc, "descr", "Test tanf(+Inf) == NaN"); 235 } 236 237 ATF_TC_BODY(tanf_inf_pos, tc) 238 { 239 const volatile float x = 1.0f / 0.0f; 240 const float y = tanf(x); 241 242 ATF_CHECK_MSG(isnan(y), "y=%a", y); 243 } 244 245 246 ATF_TC(tanf_zero_neg); 247 ATF_TC_HEAD(tanf_zero_neg, tc) 248 { 249 atf_tc_set_md_var(tc, "descr", "Test tanf(-0.0) == -0.0"); 250 } 251 252 ATF_TC_BODY(tanf_zero_neg, tc) 253 { 254 const float x = -0.0L; 255 256 ATF_CHECK(tanf(x) == x); 257 } 258 259 ATF_TC(tanf_zero_pos); 260 ATF_TC_HEAD(tanf_zero_pos, tc) 261 { 262 atf_tc_set_md_var(tc, "descr", "Test tanf(+0.0) == +0.0"); 263 } 264 265 ATF_TC_BODY(tanf_zero_pos, tc) 266 { 267 const float x = 0.0L; 268 269 ATF_CHECK(tanf(x) == x); 270 } 271 272 ATF_TP_ADD_TCS(tp) 273 { 274 275 ATF_TP_ADD_TC(tp, tan_angles); 276 ATF_TP_ADD_TC(tp, tan_nan); 277 ATF_TP_ADD_TC(tp, tan_inf_neg); 278 ATF_TP_ADD_TC(tp, tan_inf_pos); 279 ATF_TP_ADD_TC(tp, tan_zero_neg); 280 ATF_TP_ADD_TC(tp, tan_zero_pos); 281 282 ATF_TP_ADD_TC(tp, tanf_angles); 283 ATF_TP_ADD_TC(tp, tanf_nan); 284 ATF_TP_ADD_TC(tp, tanf_inf_neg); 285 ATF_TP_ADD_TC(tp, tanf_inf_pos); 286 ATF_TP_ADD_TC(tp, tanf_zero_neg); 287 ATF_TP_ADD_TC(tp, tanf_zero_pos); 288 289 return atf_no_error(); 290 } 291