ReactOS 0.4.16-dev-1692-gbb57f63
acos.c
Go to the documentation of this file.
1/*
2 * PROJECT: ReactOS API tests
3 * LICENSE: MIT (https://spdx.org/licenses/MIT)
4 * PURPOSE: Tests for acos
5 * COPYRIGHT: Copyright 2021 Timo Kreuzer <timo.kreuzer@reactos.org>
6 */
7
8#if !defined(_CRTBLD) && !defined(_M_IX86)
9#define _CRTBLD // we don't want inline acos!
10#endif
11#include "math_helpers.h"
12
13#ifdef _MSC_VER
14#pragma function(acos)
15#endif
16
17#if !defined(_M_IX86)
18#define HAS_ACOSF
19#elif (defined(TEST_UCRTBASE) || defined(TEST_STATIC_CRT))
20#define HAS_LIBM_SSE2
21#endif
22
23
24// These are expected to match exactly
25static TESTENTRY_DBL s_acos_exact_tests[] =
26{
27 { 0x0000000000000000 /* 0.000000 */, 0x3ff921fb54442d18 /* 1.570796 */ },
28 { 0x8000000000000000 /* -0.000000 */, 0x3ff921fb54442d18 /* 1.570796 */ },
29 { 0x7ff0000000000000 /* 1.#INF00 */, 0xfff8000000000000 /* -1.#IND00 */ },
30 { 0x7ff0000000000001 /* 1.#SNAN0 */, 0x7ff8000000000001 /* 1.#QNAN0 */ },
31 { 0x7ff7ffffffffffff /* 1.#SNAN0 */, 0x7fffffffffffffff /* 1.#QNAN0 */ },
32 { 0x7ff8000000000000 /* 1.#QNAN0 */, 0x7ff8000000000000 /* 1.#QNAN0 */ },
33 { 0x7ff8000000000001 /* 1.#QNAN0 */, 0x7ff8000000000001 /* 1.#QNAN0 */ },
34 { 0x7fffffffffffffff /* 1.#QNAN0 */, 0x7fffffffffffffff /* 1.#QNAN0 */ },
35 { 0xfff0000000000000 /* -1.#INF00 */, 0xfff8000000000000 /* -1.#IND00 */ },
36 { 0xfff0000000000001 /* -1.#SNAN0 */, 0xfff8000000000001 /* -1.#QNAN0 */ },
37 { 0xfff7ffffffffffff /* -1.#SNAN0 */, 0xffffffffffffffff /* -1.#QNAN0 */ },
38 { 0xfff8000000000000 /* -1.#IND00 */, 0xfff8000000000000 /* -1.#IND00 */ },
39 { 0xfff8000000000001 /* -1.#QNAN0 */, 0xfff8000000000001 /* -1.#QNAN0 */ },
40 { 0xffffffffffffffff /* -1.#QNAN0 */, 0xffffffffffffffff /* -1.#QNAN0 */ },
41};
42
43void Test_acos_exact(void)
44{
45 for (int i = 0; i < _countof(s_acos_exact_tests); i++)
46 {
47 double x = u64_to_dbl(s_acos_exact_tests[i].x);
48 double z = acos(x);
49 ok_eq_dbl_exact("acos", s_acos_exact_tests[i].x, z, s_acos_exact_tests[i].result);
50 }
51}
52
53// This table is autogenerated by `python gen_math_tests.py acos`
54static TESTENTRY_DBL_APPROX s_acos_approx_tests[] =
55{
56// { x, { y_rounded, y_difference } }
57 { -0x1.0000000000000p+0, { 0x1.921fb54442d18p+1, 0x1.1a62633145c07p-53 }, 1 }, // acos(-1.0) == 3.1415926535897932385
58 { -0x1.f5c28f5c28f5cp-1, { 0x1.787b22ce3f590p+1, -0x1.4702362ba866fp-54 }, 1 }, // acos(-0.98) == 2.9412578112666735565
59 { -0x1.eb851eb851eb8p-1, { 0x1.6dcc57bb565fcp+1, 0x1.b1a55293db288p-53 }, 1 }, // acos(-0.96) == 2.857798544381465266
60 { -0x1.e147ae147ae14p-1, { 0x1.658f00fec9c15p+1, -0x1.eb86bb62253a3p-53 }, 1 }, // acos(-0.94) == 2.793426632316832201
61 { -0x1.d70a3d70a3d71p-1, { 0x1.5e9383efad0d1p+1, -0x1.8aef1de7efe68p-55 }, 1 }, // acos(-0.92) == 2.7388768120091317575
62 { -0x1.ccccccccccccdp-1, { 0x1.586476251e745p+1, 0x1.d71fc857011bep-54 }, 1 }, // acos(-0.9) == 2.6905658417935308569
63 { -0x1.c28f5c28f5c29p-1, { 0x1.52c5b4e51b555p+1, -0x1.e34ca69d52172p-54 }, 1 }, // acos(-0.88) == 2.646658527248897725
64 { -0x1.b851eb851eb85p-1, { 0x1.4d9392170d7eap+1, -0x1.f8671f14c5e64p-53 }, 1 }, // acos(-0.86) == 2.6060659992754053904
65 { -0x1.ae147ae147ae1p-1, { 0x1.48b6d4a69943fp+1, -0x1.35fc99fda683cp-53 }, 1 }, // acos(-0.84) == 2.568079549166696428
66 { -0x1.a3d70a3d70a3ep-1, { 0x1.441f5ecbeef59p+1, -0x1.44458e47cb605p-54 }, 1 }, // acos(-0.8200000000000001) == 2.5322073455589983311
67 { -0x1.999999999999ap-1, { 0x1.3fc176b7a8560p+1, 0x1.4113b1981644dp-54 }, 1 }, // acos(-0.8) == 2.4980915447965089257
68 { -0x1.8f5c28f5c28f6p-1, { 0x1.3b94437710c9fp+1, 0x1.bda12d454b328p-54 }, 1 }, // acos(-0.78) == 2.4654621440291318713
69 { -0x1.851eb851eb852p-1, { 0x1.3790e5efbaf83p+1, -0x1.9aa722f032d4dp-56 }, 1 }, // acos(-0.76) == 2.4341094418104502805
70 { -0x1.7ae147ae147aep-1, { 0x1.33b1e74e4d7d5p+1, 0x1.bf989963bac11p-53 }, 1 }, // acos(-0.74) == 2.4038666851365444175
71 { -0x1.70a3d70a3d70ap-1, { 0x1.2ff2d932437fbp+1, 0x1.79c7ed09341d9p-53 }, 1 }, // acos(-0.72) == 2.374598645727926613
72 { -0x1.6666666666666p-1, { 0x1.2c501446cd5f1p+1, 0x1.db79e60431a1bp-53 }, 1 }, // acos(-0.7) == 2.3461938234056496208
73 { -0x1.5c28f5c28f5c2p-1, { 0x1.28c68a40a5e8bp+1, 0x1.1d2e361f2f3a4p-53 }, 1 }, // acos(-0.6799999999999999) == 2.3185589614548171149
74 { -0x1.51eb851eb851ep-1, { 0x1.2553a4a84548fp+1, 0x1.e128449289236p-56 }, 1 }, // acos(-0.6599999999999999) == 2.2916150876649861429
75 { -0x1.47ae147ae147bp-1, { 0x1.21f52c5720bdbp+1, -0x1.64f77121c75c6p-54 }, 1 }, // acos(-0.64) == 2.2652945924214526244
76 { -0x1.3d70a3d70a3d7p-1, { 0x1.1ea93705fa172p+1, -0x1.d9dd5fe247cc0p-56 }, 1 }, // acos(-0.62) == 2.2395390299972683677
77 { -0x1.3333333333333p-1, { 0x1.1b6e192ebbe44p+1, 0x1.71b466a88828ep-53 }, 1 }, // acos(-0.6) == 2.2142974355881809783
78 { -0x1.28f5c28f5c290p-1, { 0x1.18425b13e5ca1p+1, -0x1.be6b8d2364709p-54 }, 1 }, // acos(-0.5800000000000001) == 2.189525017467147797
79 { -0x1.1eb851eb851ecp-1, { 0x1.1524b01c3c769p+1, 0x1.df07281f933bfp-54 }, 1 }, // acos(-0.56) == 2.1651821267959588874
80 { -0x1.147ae147ae148p-1, { 0x1.1213efeec77b4p+1, -0x1.7bf9c739bca27p-54 }, 1 }, // acos(-0.54) == 2.1412334361948185688
81 { -0x1.0a3d70a3d70a4p-1, { 0x1.0f0f10e4a4af4p+1, -0x1.0c452864fdf6ap-54 }, 1 }, // acos(-0.52) == 2.1176472774908407488
82 { -0x1.0000000000000p-1, { 0x1.0c152382d7366p+1, -0x1.ee6913347c2a6p-53 }, 1 }, // acos(-0.5) == 2.0943951023931954923
83 { -0x1.eb851eb851eb8p-2, { 0x1.09254ec250419p+1, 0x1.17699c37f641fp-54 }, 1 }, // acos(-0.48) == 2.0714510391994847611
84 { -0x1.d70a3d70a3d70p-2, { 0x1.063eccfac5c08p+1, 0x1.2b1bcd61af04dp-54 }, 1 }, // acos(-0.45999999999999996) == 2.0487915253138489584
85 { -0x1.c28f5c28f5c28p-2, { 0x1.0360e94f4c6c5p+1, 0x1.a97176a34c78bp-54 }, 1 }, // acos(-0.43999999999999995) == 2.0263950001907199229
86 { -0x1.ae147ae147ae2p-2, { 0x1.008afd83485fcp+1, 0x1.509633b96e5e0p-54 }, 1 }, // acos(-0.42000000000000004) == 2.0042416468647826397
87 { -0x1.999999999999ap-2, { 0x1.fb78e047dfba5p+0, 0x1.8795be7cd2e3ep-55 }, 1 }, // acos(-0.4) == 1.9823131728623846628
88 { -0x1.851eb851eb852p-2, { 0x1.f5e965edb84a0p+0, -0x1.c753eba1ee5e0p-54 }, 1 }, // acos(-0.38) == 1.9605926232691571876
89 { -0x1.70a3d70a3d70ap-2, { 0x1.f0668342bcfa2p+0, -0x1.c36b61fabdab7p-54 }, 1 }, // acos(-0.36) == 1.9390642202315365859
90 { -0x1.5c28f5c28f5c2p-2, { 0x1.eaef40fd91e86p+0, 0x1.2a8ddbd3c9473p-55 }, 1 }, // acos(-0.33999999999999997) == 1.9177132243220582954
91 { -0x1.47ae147ae147ap-2, { 0x1.e582b73b88c77p+0, 0x1.1f3d2a0312d95p-55 }, 1 }, // acos(-0.31999999999999995) == 1.896525814089526727
92 { -0x1.3333333333332p-2, { 0x1.e0200bbc96ad8p+0, -0x1.70a88d71b8addp-54 }, 1 }, // acos(-0.29999999999999993) == 1.8754889808102940574
93 { -0x1.1eb851eb851ecp-2, { 0x1.dac670561bb50p+0, -0x1.dd480ddd09a1ep-54 }, 1 }, // acos(-0.28) == 1.8545904360032244926
94 { -0x1.0a3d70a3d70a4p-2, { 0x1.d5752193dff04p+0, -0x1.651183c235f55p-55 }, 1 }, // acos(-0.26) == 1.8338185297033655243
95 { -0x1.eb851eb851eb8p-3, { 0x1.d02b658023fc0p+0, 0x1.861ea0e1972e4p-55 }, 1 }, // acos(-0.24) == 1.8131621778338598429
96 { -0x1.c28f5c28f5c28p-3, { 0x1.cae88a8cd3053p+0, 0x1.5cc7a8e0f89b3p-54 }, 1 }, // acos(-0.21999999999999997) == 1.7926107972916910029
97 { -0x1.9999999999998p-3, { 0x1.c5abe698d8960p+0, -0x1.4e5eb4b36c594p-54 }, 1 }, // acos(-0.19999999999999996) == 1.7721542475852273654
98 { -0x1.70a3d70a3d708p-3, { 0x1.c074d60d624fdp+0, -0x1.40bae2c743f74p-54 }, 1 }, // acos(-0.17999999999999994) == 1.7517827780414442633
99 { -0x1.47ae147ae147cp-3, { 0x1.bb42bb0f765cbp+0, -0x1.3cfb0fd5cb539p-54 }, 1 }, // acos(-0.16000000000000003) == 1.7314869797468072511
100 { -0x1.1eb851eb851ecp-3, { 0x1.b614fcc2ca2c0p+0, -0x1.810d838217ecfp-54 }, 1 }, // acos(-0.14) == 1.711257741504752433
101 { -0x1.eb851eb851eb8p-4, { 0x1.b0eb069b2fb21p+0, -0x1.98f4530ac2a81p-54 }, 1 }, // acos(-0.12) == 1.6910862091896846861
102 { -0x1.9999999999998p-4, { 0x1.abc447ba464a0p+0, 0x1.a3867da709320p-54 }, 1 }, // acos(-0.09999999999999998) == 1.6709637479564563933
103 { -0x1.47ae147ae1478p-4, { 0x1.a6a0325763031p+0, -0x1.1683f8b5f8728p-55 }, 1 }, // acos(-0.07999999999999996) == 1.6508819068285555929
104 { -0x1.eb851eb851eb0p-5, { 0x1.a17e3b2fdd3ddp+0, 0x1.e8033f905c630p-55 }, 1 }, // acos(-0.05999999999999994) == 1.6308323852401749839
105 { -0x1.47ae147ae1480p-5, { 0x1.9c5dd8fe1a303p+0, 0x1.cc5e1b8109e5dp-55 }, 1 }, // acos(-0.040000000000000036) == 1.610807001148885581
106 { -0x1.47ae147ae1480p-6, { 0x1.973e83f5d5c9bp+0, -0x1.dff8acccc8f64p-55 }, 1 }, // acos(-0.020000000000000018) == 1.5907976603682871287
107 { 0x0.0p+0, { 0x1.921fb54442d18p+0, 0x1.1a62633145c07p-54 }, 1 }, // acos(0.0) == 1.5707963267948966192
108 { 0x1.47ae147ae1480p-6, { 0x1.8d00e692afd96p+0, -0x1.b67dc66e20080p-55 }, 1 }, // acos(0.020000000000000018) == 1.5507949932215061097
109 { 0x1.47ae147ae1480p-5, { 0x1.87e1918a6b72dp+0, 0x1.4e95b8a2068dfp-54 }, 1 }, // acos(0.040000000000000036) == 1.5307856524409076575
110 { 0x1.eb851eb851ec0p-5, { 0x1.82c12f58a8653p+0, -0x1.8052d5e13d933p-55 }, 1 }, // acos(0.06000000000000005) == 1.5107602683496181433
111 { 0x1.47ae147ae1480p-4, { 0x1.7d9f3831229ffp+0, 0x1.7cc29ccb943cep-55 }, 1 }, // acos(0.08000000000000007) == 1.4907107467612375342
112 { 0x1.99999999999a0p-4, { 0x1.787b22ce3f590p+0, -0x1.7156084c0ddfcp-54 }, 1 }, // acos(0.10000000000000009) == 1.4706289056333367336
113 { 0x1.eb851eb851ec0p-4, { 0x1.735463ed55f0fp+0, 0x1.c9ff109d2b17bp-54 }, 1 }, // acos(0.1200000000000001) == 1.4505064444001084406
114 { 0x1.1eb851eb851f0p-3, { 0x1.6e2a6dc5bb770p+0, 0x1.b0ba9646da925p-54 }, 1 }, // acos(0.14000000000000012) == 1.4303349120850406934
115 { 0x1.47ae147ae1478p-3, { 0x1.68fcaf790f466p+0, 0x1.786e793e0bdb4p-54 }, 1 }, // acos(0.15999999999999992) == 1.4101056738429860999
116 { 0x1.70a3d70a3d708p-3, { 0x1.63ca947b23534p+0, -0x1.1500adac610fdp-55 }, 1 }, // acos(0.17999999999999994) == 1.3898098755483489752
117 { 0x1.9999999999998p-3, { 0x1.5e9383efad0d1p+0, -0x1.f37213a820979p-56 }, 1 }, // acos(0.19999999999999996) == 1.3694384060045658731
118 { 0x1.c28f5c28f5c28p-3, { 0x1.5956dffbb29ddp+0, 0x1.affa3b0325cb6p-55 }, 1 }, // acos(0.21999999999999997) == 1.3489818562981022356
119 { 0x1.eb851eb851eb8p-3, { 0x1.5414050861a70p+0, 0x1.71b575f1bfe9cp-54 }, 1 }, // acos(0.24) == 1.3284304757559333956
120 { 0x1.0a3d70a3d70a4p-2, { 0x1.4eca48f4a5b2dp+0, -0x1.18b277bc59848p-54 }, 1 }, // acos(0.26) == 1.3077741238864277142
121 { 0x1.1eb851eb851ecp-2, { 0x1.4978fa3269ee1p+0, 0x1.20cd43f9522bfp-58 }, 1 }, // acos(0.28) == 1.2870022175865687459
122 { 0x1.3333333333334p-2, { 0x1.441f5ecbeef58p+0, 0x1.8cb4898f0a272p-54 }, 1 }, // acos(0.30000000000000004) == 1.2661036727794990647
123 { 0x1.47ae147ae147cp-2, { 0x1.3ebcb34cfcdb9p+0, -0x1.dd11a56d44752p-56 }, 1 }, // acos(0.32000000000000006) == 1.2450668395002663943
124 { 0x1.5c28f5c28f5c4p-2, { 0x1.3950298af3baap+0, -0x1.01e2be9dbc10ap-55 }, 1 }, // acos(0.3400000000000001) == 1.223879429267734825
125 { 0x1.70a3d70a3d70cp-2, { 0x1.33d8e745c8a8ep+0, 0x1.d364844811a9bp-54 }, 1 }, // acos(0.3600000000000001) == 1.2025284333582565336
126 { 0x1.851eb851eb854p-2, { 0x1.2e56049acd590p+0, 0x1.d2932a6f3a2d1p-54 }, 1 }, // acos(0.3800000000000001) == 1.1810000303206359308
127 { 0x1.999999999999cp-2, { 0x1.28c68a40a5e8bp+0, -0x1.7b52bf4f0c4b1p-55 }, 1 }, // acos(0.40000000000000013) == 1.1592794807274084545
128 { 0x1.ae147ae147ae0p-2, { 0x1.23296f81f4e39p+0, -0x1.cf4a9d60ed855p-55 }, 1 }, // acos(0.41999999999999993) == 1.1373510067250107211
129 { 0x1.c28f5c28f5c28p-2, { 0x1.1d7d97e9ecca6p+0, 0x1.16a69f7e7e105p-55 }, 1 }, // acos(0.43999999999999995) == 1.1151976533990733156
130 { 0x1.d70a3d70a3d70p-2, { 0x1.17c1d092fa220p+0, 0x1.09a8f900dc7c0p-54 }, 1 }, // acos(0.45999999999999996) == 1.09280112827594428
131 { 0x1.eb851eb851eb8p-2, { 0x1.11f4cd03e51fep+0, 0x1.1d5b2a2a953efp-54 }, 1 }, // acos(0.48) == 1.0701416143903084774
132 { 0x1.0000000000000p-1, { 0x1.0c152382d7366p+0, -0x1.ee6913347c2a6p-54 }, 1 }, // acos(0.5) == 1.0471975511965977462
133 { 0x1.0a3d70a3d70a4p-1, { 0x1.062148bf3c449p+0, -0x1.7dec2270ed110p-55 }, 1 }, // acos(0.52) == 1.0239453760989524896
134 { 0x1.147ae147ae148p-1, { 0x1.00178aaaf6ac9p+0, -0x1.3d05c98edf72dp-56 }, 1 }, // acos(0.54) == 1.0003592173949746697
135 { 0x1.1eb851eb851ecp-1, { 0x1.f3ec14a0196bcp-1, 0x1.56f6790be1139p-56 }, 1 }, // acos(0.56) == 0.97641052679383435103
136 { 0x1.28f5c28f5c290p-1, { 0x1.e77568c1741dep-1, -0x1.99f58f4201d2ep-59 }, 1 }, // acos(0.5800000000000001) == 0.9520676361226454415
137 { 0x1.3333333333334p-1, { 0x1.dac670561bb4ep-1, 0x1.a2b7f222f65e1p-55 }, 1 }, // acos(0.6000000000000001) == 0.92729521800161212141
138 { 0x1.3d70a3d70a3d8p-1, { 0x1.cdd9f8f922e98p-1, 0x1.eacade6a64382p-58 }, 1 }, // acos(0.6200000000000001) == 0.90205362359252472925
139 { 0x1.47ae147ae147cp-1, { 0x1.c0aa23b4884f4p-1, 0x1.fec9a5247c4e1p-55 }, 1 }, // acos(0.6400000000000001) == 0.87629806116834046956
140 { 0x1.51eb851eb8520p-1, { 0x1.b330426ff6222p-1, 0x1.a5c8c57812dd7p-56 }, 1 }, // acos(0.6600000000000001) == 0.84997756592480680004
141 { 0x1.5c28f5c28f5c2p-1, { 0x1.a564ac0e73a34p-1, -0x1.65e976f4bcecap-60 }, 1 }, // acos(0.6799999999999999) == 0.82303369213497612356
142 { 0x1.6666666666666p-1, { 0x1.973e83f5d5c9bp-1, 0x1.f743e968a0f60p-56 }, 1 }, // acos(0.7) == 0.79539883018414361768
143 { 0x1.70a3d70a3d70ap-1, { 0x1.88b37047fd474p-1, -0x1.7d96275fb9749p-55 }, 1 }, // acos(0.72) == 0.76699400786186662541
144 { 0x1.7ae147ae147aep-1, { 0x1.79b737d7d550bp-1, 0x1.6b2727362bfd9p-55 }, 1 }, // acos(0.74) == 0.73772596845324882094
145 { 0x1.851eb851eb852p-1, { 0x1.6a3b3d521f655p-1, 0x1.36dd1e3d306c2p-55 }, 1 }, // acos(0.76) == 0.70748321177934295796
146 { 0x1.8f5c28f5c28f6p-1, { 0x1.5a2dc734c81e4p-1, 0x1.dc8e647501395p-56 }, 1 }, // acos(0.78) == 0.67613050956066136717
147 { 0x1.999999999999ap-1, { 0x1.4978fa3269ee0p-1, 0x1.e7622994ea781p-55 }, 1 }, // acos(0.8) == 0.64350110879328431279
148 { 0x1.a3d70a3d70a3ep-1, { 0x1.380159e14f6fep-1, -0x1.0deb56ab523dbp-55 }, 1 }, // acos(0.8200000000000001) == 0.60938530803079490732
149 { 0x1.ae147ae147ae2p-1, { 0x1.25a38276a6364p-1, 0x1.e23a277083a2dp-55 }, 1 }, // acos(0.8400000000000001) == 0.57351310442309660586
150 { 0x1.b851eb851eb86p-1, { 0x1.12308cb4d54b9p-1, 0x1.d1d975f28ab64p-57 }, 1 }, // acos(0.8600000000000001) == 0.53552665431438763052
151 { 0x1.c28f5c28f5c2ap-1, { 0x1.fad002f93be18p-2, -0x1.de2ea6c5b1373p-58 }, 1 }, // acos(0.8800000000000001) == 0.49493412634089527975
152 { 0x1.ccccccccccccep-1, { 0x1.cdd9f8f922e94p-2, -0x1.c7b662fd94605p-57 }, 1 }, // acos(0.9000000000000001) == 0.4510268117962621269
153 { 0x1.d70a3d70a3d70p-1, { 0x1.9c618aa4ae240p-2, 0x1.4a15538e41812p-58 }, 1 }, // acos(0.9199999999999999) == 0.40271584158066176421
154 { 0x1.e147ae147ae14p-1, { 0x1.6485a22bc881ep-2, 0x1.7a47a4dabea7cp-59 }, 1 }, // acos(0.94) == 0.34816602127296103742
155 { 0x1.eb851eb851eb8p-1, { 0x1.229aec47638dfp-2, -0x1.742ef62956816p-57 }, 1 }, // acos(0.96) == 0.28379410920832797251
156 { 0x1.f5c28f5c28f5cp-1, { 0x1.9a49276037887p-3, -0x1.0e40dc73060b0p-60 }, 1 }, // acos(0.98) == 0.20033484232311968196
157 { 0x1.0000000000000p+0, { 0x0.0p+0, 0x0.0p+0 }, 1 }, // acos(1.0) == 0.0
158};
159
160void Test_acos_approx(void)
161{
162 for (int i = 0; i < _countof(s_acos_approx_tests); i++)
163 {
164 double x = s_acos_approx_tests[i].x;
165 double expected = s_acos_approx_tests[i].expected.rounded;
166 double z = acos(x);
167 int64_t error = abs(ulp_error_precise(&s_acos_approx_tests[i].expected, z));
168 ok(error <= s_acos_approx_tests[i].max_error,
169 "acos(%.17e) = %.17e, expected %.17e, error %I64d ULPs, max %u ULPs\n",
170 x, z, expected, error, s_acos_approx_tests[i].max_error);
171 }
172}
173
174#ifdef HAS_ACOSF
175
176// These are expected to match exactly
177static TESTENTRY_DBL s_acosf_exact_tests[] =
178{
179 { 0x00000000 /* 0.000000 */, 0x3fc90fdb /* 1.570796 */ },
180 { 0x80000000 /* -0.000000 */, 0x3fc90fdb /* 1.570796 */ },
181 { 0x7f800000 /* 1.#INF00 */, 0x3fc90fdb /* 1.570796 */ },
182 { 0x7f800001 /* 1.#SNAN0 */, 0x3fc90fdb /* 1.570796 */ },
183 { 0x7fBFffff /* 1.#SNAN0 */, 0x3fc90fdb /* 1.570796 */ },
184 { 0x7fC00000 /* 1.#QNAN0 */, 0x3fc90fdb /* 1.570796 */ },
185 { 0x7fC80001 /* 1.#QNAN0 */, 0x3fc90fdb /* 1.570796 */ },
186 { 0x7fFfffff /* 1.#QNAN0 */, 0x3fc90fdb /* 1.570796 */ },
187 { 0xff800000 /* -1.#INF00 */, 0x3fc90fdb /* 1.570796 */ },
188 { 0xff800001 /* -1.#SNAN0 */, 0x3fc90fdb /* 1.570796 */ },
189 { 0xffBfffff /* -1.#SNAN0 */, 0x3fc90fdb /* 1.570796 */ },
190 { 0xffC00000 /* -1.#IND00 */, 0x3fc90fdb /* 1.570796 */ },
191 { 0xfff80001 /* -1.#QNAN0 */, 0x3fc90fdb /* 1.570796 */ },
192 { 0xffffffff /* -1.#QNAN0 */, 0x3fc90fdb /* 1.570796 */ },
193};
194
195void Test_acosf_exact(void)
196{
197 for (int i = 0; i < _countof(s_acosf_exact_tests); i++)
198 {
199 float x = u64_to_dbl(s_acosf_exact_tests[i].x);
200 float z = acosf(x);
201 ok_eq_flt_exact("acosf", s_acosf_exact_tests[i].x, z, s_acosf_exact_tests[i].result);
202 }
203}
204
205#endif // HAS_ACOSF
206
207#if defined(HAS_ACOSF) || defined(HAS_LIBM_SSE2)
208
209static TESTENTRY_DBL_APPROX s_acosf_approx_tests[] =
210{
211// { x, { y_rounded, y_difference } }
212 { -0x1.0000000000000p+0, { 0x1.921fb54442d18p+1, 0x1.1a62633145c07p-53 }, 1 }, // acosf(-1.0) == 3.1415926535897932385
213 { -0x1.f5c2900000000p-1, { 0x1.787b239c14496p+1, 0x1.797206dc626b2p-53 }, 1 }, // acosf(-0.9800000190734863) == 2.9412579071145714098
214 { -0x1.eb851e0000000p-1, { 0x1.6dcc5716c4181p+1, 0x1.8125a18bfd702p-55 }, 1 }, // acosf(-0.9599999785423279) == 2.8577984677469321779
215 { -0x1.e147ae0000000p-1, { 0x1.658f00efc7f78p+1, -0x1.73d00e4a2c9bfp-55 }, 1 }, // acosf(-0.9399999976158142) == 2.7934266253286601108
216 { -0x1.d70a3e0000000p-1, { 0x1.5e93844b1fa46p+1, -0x1.78b4409d06ac5p-57 }, 1 }, // acosf(-0.9200000166893005) == 2.7388768545927488671
217 { -0x1.cccccc0000000p-1, { 0x1.586475afa87a2p+1, -0x1.99926d7af536cp-54 }, 1 }, // acosf(-0.8999999761581421) == 2.6905657870965606016
218 { -0x1.c28f5c0000000p-1, { 0x1.52c5b4cf8c34dp+1, 0x1.d4e9b6b09485fp-53 }, 1 }, // acosf(-0.8799999952316284) == 2.6466585172096645886
219 { -0x1.b851ec0000000p-1, { 0x1.4d93925340d85p+1, 0x1.be7920d9a13eap-55 }, 1 }, // acosf(-0.8600000143051147) == 2.6060660273084886236
220 { -0x1.ae147a0000000p-1, { 0x1.48b6d43eccaffp+1, -0x1.eae7a61bed3e6p-55 }, 1 }, // acosf(-0.8399999737739563) == 2.5680795008314584749
221 { -0x1.a3d70a0000000p-1, { 0x1.441f5eb118eb7p+1, 0x1.0b46eaeba6394p-56 }, 1 }, // acosf(-0.8199999928474426) == 2.5322073330624692711
222 { -0x1.99999a0000000p-1, { 0x1.3fc176e25300bp+1, 0x1.feb4e380e8f98p-54 }, 1 }, // acosf(-0.800000011920929) == 2.49809156466472404
223 { -0x1.8f5c280000000p-1, { 0x1.3b944314e2505p+1, 0x1.f7c2333ecd7fcp-53 }, 1 }, // acosf(-0.7799999713897705) == 2.4654620983097881268
224 { -0x1.851eb80000000p-1, { 0x1.3790e5d0380bbp+1, -0x1.3b923cc2f9ccep-53 }, 1 }, // acosf(-0.7599999904632568) == 2.4341094271368012033
225 { -0x1.7ae1480000000p-1, { 0x1.33b1e76cc05aep+1, 0x1.577c6eab559d1p-53 }, 1 }, // acosf(-0.7400000095367432) == 2.4038666993153220799
226 { -0x1.70a3d80000000p-1, { 0x1.2ff2d98acc17cp+1, 0x1.a80b4b1cd0306p-54 }, 1 }, // acosf(-0.7200000286102295) == 2.3745986869545828522
227 { -0x1.6666660000000p-1, { 0x1.2c501422f47f0p+1, -0x1.818a88c5bed90p-53 }, 1 }, // acosf(-0.699999988079071) == 2.3461938067130104206
228 { -0x1.5c28f60000000p-1, { 0x1.28c68a5598d50p+1, -0x1.6a5e114395f0dp-53 }, 1 }, // acosf(-0.6800000071525574) == 2.3185589712099171172
229 { -0x1.51eb860000000p-1, { 0x1.2553a4f33ccb3p+1, -0x1.7771d4bd8c1cfp-53 }, 1 }, // acosf(-0.6600000262260437) == 2.2916151225741370793
230 { -0x1.47ae140000000p-1, { 0x1.21f52c2f25bccp+1, 0x1.fb7c1bd9abd94p-55 }, 1 }, // acosf(-0.6399999856948853) == 2.2652945738040895502
231 { -0x1.3d70a40000000p-1, { 0x1.1ea9371307330p+1, -0x1.b4e5637fc1f66p-53 }, 1 }, // acosf(-0.6200000047683716) == 2.239539036074709865
232 { -0x1.3333340000000p-1, { 0x1.1b6e196ebbe45p+1, 0x1.6368d0e665a95p-54 }, 1 }, // acosf(-0.6000000238418579) == 2.2142974653905037268
233 { -0x1.28f5c20000000p-1, { 0x1.18425ae7e6c57p+1, 0x1.0339b842e02e2p-53 }, 1 }, // acosf(-0.5799999833106995) == 2.1895249969798374915
234 { -0x1.1eb8520000000p-1, { 0x1.1524b0226a846p+1, 0x1.113537ee1749ap-55 }, 1 }, // acosf(-0.5600000023841858) == 2.1651821296736981933
235 { -0x1.147ae20000000p-1, { 0x1.1213f0258720fp+1, 0x1.cea2ad5ca7270p-53 }, 1 }, // acosf(-0.5400000214576721) == 2.141233461689132623
236 { -0x1.0a3d700000000p-1, { 0x1.0f0f10b4b0aacp+1, 0x1.1fae62753160ap-53 }, 1 }, // acosf(-0.5199999809265137) == 2.1176472551608950394
237 { -0x1.0000000000000p-1, { 0x1.0c152382d7366p+1, -0x1.ee6913347c2a6p-53 }, 1 }, // acosf(-0.5) == 2.0943951023931954923
238 { -0x1.eb851e0000000p-2, { 0x1.09254ea80cd76p+1, -0x1.81cb80b39b377p-56 }, 1 }, // acosf(-0.47999998927116394) == 2.071451026969664412
239 { -0x1.d70a3e0000000p-2, { 0x1.063ecd0ef4599p+1, 0x1.1808cd3d748a4p-53 }, 1 }, // acosf(-0.46000000834465027) == 2.0487915347118358482
240 { -0x1.c28f5c0000000p-2, { 0x1.0360e94998d21p+1, -0x1.bbcdbea0f6b75p-53 }, 1 }, // acosf(-0.4399999976158142) == 2.0263949975357180862
241 { -0x1.ae147a0000000p-2, { 0x1.008afd6440d3dp+1, 0x1.72931993dabaep-53 }, 1 }, // acosf(-0.41999998688697815) == 2.0042416324155555793
242 { -0x1.99999a0000000p-2, { 0x1.fb78e063ce4abp+0, -0x1.c2783b05fed0bp-54 }, 1 }, // acosf(-0.4000000059604645) == 1.9823131793657845634
243 { -0x1.851eb80000000p-2, { 0x1.f5e965d7943a5p+0, -0x1.c10e248614dd2p-57 }, 1 }, // acosf(-0.3799999952316284) == 1.9605926181140855713
244 { -0x1.70a3d80000000p-2, { 0x1.f066838497f95p+0, 0x1.7ebd0b2eb605ep-55 }, 1 }, // acosf(-0.36000001430511475) == 1.9390642355647050159
245 { -0x1.5c28f60000000p-2, { 0x1.eaef410de72a1p+0, 0x1.49ce219f3d925p-56 }, 1 }, // acosf(-0.3400000035762787) == 1.9177132281248889979
246 { -0x1.47ae140000000p-2, { 0x1.e582b71b1bfbap+0, -0x1.724dc01c1c3e0p-56 }, 1 }, // acosf(-0.3199999928474426) == 1.8965258065399965636
247 { -0x1.3333340000000p-2, { 0x1.e0200bf242c1cp+0, -0x1.35883b6d42879p-54 }, 1 }, // acosf(-0.30000001192092896) == 1.875488993306823215
248 { -0x1.1eb8520000000p-2, { 0x1.dac6705b710a5p+0, -0x1.06e93d454d8cdp-54 }, 1 }, // acosf(-0.2800000011920929) == 1.8545904372449878979
249 { -0x1.0a3d700000000p-2, { 0x1.d575216974b6fp+0, 0x1.cb284ee29a9ffp-54 }, 1 }, // acosf(-0.25999999046325684) == 1.8338185198269590811
250 { -0x1.eb851e0000000p-3, { 0x1.d02b6568682a7p+0, 0x1.0f5b5c2ec05c9p-55 }, 1 }, // acosf(-0.23999999463558197) == 1.8131621723079350011
251 { -0x1.c28f5c0000000p-3, { 0x1.cae88a8793619p+0, -0x1.059c9956958f6p-54 }, 1 }, // acosf(-0.2199999988079071) == 1.7926107960696581732
252 { -0x1.99999a0000000p-3, { 0x1.c5abe6a5e8f4bp+0, 0x1.888788ca356dfp-54 }, 1 }, // acosf(-0.20000000298023224) == 1.7721542506269142033
253 { -0x1.70a3d80000000p-3, { 0x1.c074d62c9d373p+0, 0x1.2b480084fe234p-54 }, 1 }, // acosf(-0.18000000715255737) == 1.7517827853127670528
254 { -0x1.47ae140000000p-3, { 0x1.bb42baffe6e20p+0, 0x1.2445ceb29419dp-55 }, 1 }, // acosf(-0.1599999964237213) == 1.7314869761238540808
255 { -0x1.1eb8520000000p-3, { 0x1.b614fcc5600cep+0, -0x1.13423bf023078p-56 }, 1 }, // acosf(-0.14000000059604645) == 1.7112577421067274159
256 { -0x1.eb851e0000000p-4, { 0x1.b0eb068f951c1p+0, 0x1.29082826e907cp-54 }, 1 }, // acosf(-0.11999999731779099) == 1.6910862064879526678
257 { -0x1.99999a0000000p-4, { 0x1.abc447c0b4f17p+0, 0x1.dda57373a33e7p-56 }, 1 }, // acosf(-0.10000000149011612) == 1.6709637494540794648
258 { -0x1.47ae140000000p-4, { 0x1.a6a0324fae9c3p+0, 0x1.9f8f0f7b5c65cp-55 }, 1 }, // acosf(-0.07999999821186066) == 1.6508819050346666308
259 { -0x1.eb851e0000000p-5, { 0x1.a17e3b2a18053p+0, -0x1.5ada1a98159d6p-54 }, 1 }, // acosf(-0.05999999865889549) == 1.6308323838966500088
260 { -0x1.47ae140000000p-5, { 0x1.9c5dd8fa425c6p+0, 0x1.076eb68353b17p-55 }, 1 }, // acosf(-0.03999999910593033) == 1.6108070002540997586
261 { -0x1.47ae140000000p-6, { 0x1.973e83f3ea2b6p+0, -0x1.12ddd8f41ede4p-59 }, 1 }, // acosf(-0.019999999552965164) == 1.5907976599211628414
262 { 0x0.0p+0, { 0x1.921fb54442d18p+0, 0x1.1a62633145c07p-54 }, 1 }, // acosf(0.0) == 1.5707963267948966192
263 { 0x1.47ae140000000p-6, { 0x1.8d00e6949b77bp+0, -0x1.c2a44ad5d3883p-54 }, 1 }, // acosf(0.019999999552965164) == 1.5507949936686303971
264 { 0x1.47ae140000000p-5, { 0x1.87e1918e4346ap+0, 0x1.b10d6b20e1a82p-54 }, 1 }, // acosf(0.03999999910593033) == 1.5307856533356934798
265 { 0x1.eb851e0000000p-5, { 0x1.82c12f5e6d9dep+0, -0x1.c1847c157b873p-56 }, 1 }, // acosf(0.05999999865889549) == 1.5107602696931432296
266 { 0x1.47ae140000000p-4, { 0x1.7d9f3838d706dp+0, 0x1.64fd3ea4dd4e0p-54 }, 1 }, // acosf(0.07999999821186066) == 1.4907107485551266076
267 { 0x1.99999a0000000p-4, { 0x1.787b22c7d0b19p+0, 0x1.bd5b6985a2b14p-54 }, 1 }, // acosf(0.10000000149011612) == 1.4706289041357137737
268 { 0x1.eb851e0000000p-4, { 0x1.735463f8f086fp+0, 0x1.0bbc9e3ba2791p-54 }, 1 }, // acosf(0.11999999731779099) == 1.4505064471018405706
269 { 0x1.1eb8520000000p-3, { 0x1.6e2a6dc325963p+0, -0x1.866aaaa16bbd4p-54 }, 1 }, // acosf(0.14000000059604645) == 1.4303349114830658226
270 { 0x1.47ae140000000p-3, { 0x1.68fcaf889ec10p+0, 0x1.a2a1df094173fp-54 }, 1 }, // acosf(0.1599999964237213) == 1.4101056774659391577
271 { 0x1.70a3d80000000p-3, { 0x1.63ca945be86bdp+0, 0x1.097cc5dd8d5d9p-54 }, 1 }, // acosf(0.18000000715255737) == 1.3898098682770261856
272 { 0x1.99999a0000000p-3, { 0x1.5e9383e29cae5p+0, 0x1.587a7b30ac25dp-55 }, 1 }, // acosf(0.20000000298023224) == 1.3694384029628790352
273 { 0x1.c28f5c0000000p-3, { 0x1.5956e000f2418p+0, -0x1.8b3d408dbddf9p-55 }, 1 }, // acosf(0.2199999988079071) == 1.3489818575201350652
274 { 0x1.eb851e0000000p-3, { 0x1.541405201d789p+0, 0x1.ad17184b2b529p-54 }, 1 }, // acosf(0.23999999463558197) == 1.3284304812818582373
275 { 0x1.0a3d700000000p-2, { 0x1.4eca491f10ec1p+0, 0x1.a671ddffc3839p-56 }, 1 }, // acosf(0.25999999046325684) == 1.3077741337628341574
276 { 0x1.1eb8520000000p-2, { 0x1.4978fa2d1498cp+0, -0x1.88a3f8b04de4ap-55 }, 1 }, // acosf(0.2800000011920929) == 1.2870022163448053406
277 { 0x1.3333340000000p-2, { 0x1.441f5e9642e15p+0, -0x1.2b65fc6063ef3p-55 }, 1 }, // acosf(0.30000001192092896) == 1.2661036602829700235
278 { 0x1.47ae140000000p-2, { 0x1.3ebcb36d69a77p+0, -0x1.6ea7c9966d6fap-54 }, 1 }, // acosf(0.3199999928474426) == 1.2450668470497966749
279 { 0x1.5c28f60000000p-2, { 0x1.3950297a9e78fp+0, 0x1.e2513dfabc1c5p-54 }, 1 }, // acosf(0.3400000035762787) == 1.2238794254649042406
280 { 0x1.70a3d80000000p-2, { 0x1.33d8e703eda9bp+0, 0x1.756640cb307dfp-54 }, 1 }, // acosf(0.36000001430511475) == 1.2025284180250882226
281 { 0x1.851eb80000000p-2, { 0x1.2e5604b0f168cp+0, -0x1.9319750cb1e38p-54 }, 1 }, // acosf(0.3799999952316284) == 1.1810000354757076671
282 { 0x1.99999a0000000p-2, { 0x1.28c68a24b7586p+0, -0x1.185fd2eeb5cf5p-59 }, 1 }, // acosf(0.4000000059604645) == 1.159279474224008675
283 { 0x1.ae147a0000000p-2, { 0x1.23296fc003fb6p+0, -0x1.60c2d98a53e9dp-55 }, 1 }, // acosf(0.41999998688697815) == 1.1373510211742376592
284 { 0x1.c28f5c0000000p-2, { 0x1.1d7d97f553fefp+0, 0x1.ac6043a478ef8p-54 }, 1 }, // acosf(0.4399999976158142) == 1.1151976560540751523
285 { 0x1.d70a3e0000000p-2, { 0x1.17c1d06a9cefep+0, 0x1.2ccaf9e89b1a9p-60 }, 1 }, // acosf(0.46000000834465027) == 1.0928011188779573902
286 { 0x1.eb851e0000000p-2, { 0x1.11f4cd386bf45p+0, -0x1.6ac859708db15p-54 }, 1 }, // acosf(0.47999998927116394) == 1.0701416266201288265
287 { 0x1.0000000000000p-1, { 0x1.0c152382d7366p+0, -0x1.ee6913347c2a6p-54 }, 1 }, // acosf(0.5) == 1.0471975511965977462
288 { 0x1.0a3d700000000p-1, { 0x1.0621491f244d8p+0, -0x1.52ffd0fae80e0p-59 }, 1 }, // acosf(0.5199999809265137) == 1.0239453984288981991
289 { 0x1.147ae20000000p-1, { 0x1.00178a3d77612p+0, -0x1.68809456c2cd1p-54 }, 1 }, // acosf(0.5400000214576721) == 1.0003591919006606154
290 { 0x1.1eb8520000000p-1, { 0x1.f3ec148761349p-1, -0x1.4f575652008fdp-56 }, 1 }, // acosf(0.5600000023841858) == 0.97641052391609504516
291 { 0x1.28f5c20000000p-1, { 0x1.e775697170304p-1, 0x1.728aaee659250p-57 }, 1 }, // acosf(0.5799999833106995) == 0.95206765660995574701
292 { 0x1.3333340000000p-1, { 0x1.dac66f561bb4cp-1, 0x1.a2b7eaf84baf1p-55 }, 1 }, // acosf(0.6000000238418579) == 0.92729518819928951167
293 { 0x1.3d70a40000000p-1, { 0x1.cdd9f8c4ee7a3p-1, -0x1.85c1ca77c249dp-56 }, 1 }, // acosf(0.6200000047683716) == 0.9020536175150833735
294 { 0x1.47ae140000000p-1, { 0x1.c0aa245474531p-1, -0x1.91f28f1494d79p-55 }, 1 }, // acosf(0.6399999856948853) == 0.87629807978570368826
295 { 0x1.51eb860000000p-1, { 0x1.b330414418197p-1, -0x1.b8af2044b88a9p-55 }, 1 }, // acosf(0.6600000262260437) == 0.84997753101565615915
296 { 0x1.5c28f60000000p-1, { 0x1.a564abbaa7f23p-1, -0x1.ecfe2e2c913b2p-55 }, 1 }, // acosf(0.6800000071525574) == 0.82303368237987612128
297 { 0x1.6666660000000p-1, { 0x1.973e8485394a3p-1, -0x1.904c5023ed9a5p-55 }, 1 }, // acosf(0.699999988079071) == 0.79539884687678281784
298 { 0x1.70a3d80000000p-1, { 0x1.88b36ee5dae70p-1, 0x1.1972f68b76a0fp-55 }, 1 }, // acosf(0.7200000286102295) == 0.76699396663521038629
299 { 0x1.7ae1480000000p-1, { 0x1.79b7375e09da8p-1, -0x1.e8d05bd07ee52p-56 }, 1 }, // acosf(0.7400000095367432) == 0.7377259542744711586
300 { 0x1.851eb80000000p-1, { 0x1.6a3b3dd02b176p-1, 0x1.57d27fd0fe352p-55 }, 1 }, // acosf(0.7599999904632568) == 0.70748322645299203512
301 { 0x1.8f5c280000000p-1, { 0x1.5a2dc8bd8204bp-1, 0x1.15017f93c2054p-56 }, 1 }, // acosf(0.7799999713897705) == 0.67613055528000511166
302 { 0x1.99999a0000000p-1, { 0x1.4978f987bf434p-1, 0x1.b07f170d143b1p-57 }, 1 }, // acosf(0.800000011920929) == 0.64350108892506919851
303 { 0x1.a3d70a0000000p-1, { 0x1.38015a4ca7985p-1, -0x1.c19e8b0bc1ae5p-59 }, 1 }, // acosf(0.8199999928474426) == 0.60938532052732396733
304 { 0x1.ae147a0000000p-1, { 0x1.25a38415d8866p-1, -0x1.ab8ecd1efbbffp-55 }, 1 }, // acosf(0.8399999737739563) == 0.57351315275833476353
305 { 0x1.b851ec0000000p-1, { 0x1.12308bc407e4dp-1, -0x1.54ef94148a3cep-55 }, 1 }, // acosf(0.8600000143051147) == 0.53552662628130461487
306 { 0x1.c28f5c0000000p-1, { 0x1.fad003a5b4e57p-2, -0x1.d43a9bfa762c3p-56 }, 1 }, // acosf(0.8799999952316284) == 0.4949341363801286499
307 { 0x1.cccccc0000000p-1, { 0x1.cdd9fca4d2bb4p-2, -0x1.8d466113fa433p-57 }, 1 }, // acosf(0.8999999761581421) == 0.4510268664932326369
308 { 0x1.d70a3e0000000p-1, { 0x1.9c6187c919692p-2, 0x1.8f6d39d8b159ap-56 }, 1 }, // acosf(0.9200000166893005) == 0.40271579899704437134
309 { 0x1.e147ae0000000p-1, { 0x1.6485a2a3d6d03p-2, -0x1.15332785e3128p-58 }, 1 }, // acosf(0.9399999976158142) == 0.34816602826113312765
310 { 0x1.eb851e0000000p-1, { 0x1.229af16bf5cb9p-2, 0x1.d0c7d67233233p-56 }, 1 }, // acosf(0.9599999785423279) == 0.28379418584286106053
311 { 0x1.f5c2900000000p-1, { 0x1.9a491a82e881fp-3, -0x1.f0fa3ab1caab3p-57 }, 1 }, // acosf(0.9800000190734863) == 0.20033474647522182862
312 { 0x1.0000000000000p+0, { 0x0.0p+0, 0x0.0p+0 }, 1 }, // acosf(1.0) == 0.0
313};
314
315#endif // defined(HAS_ACOSF) || defined(HAS_LIBM_SSE2)
316
317#if defined(HAS_ACOSF)
318
319void Test_acosf_approx(void)
320{
321 for (int i = 0; i < _countof(s_acosf_approx_tests); i++)
322 {
323 float x = s_acosf_approx_tests[i].x;
324 float expected = s_acosf_approx_tests[i].expected.rounded;
325 float z = acosf(x);
326 int64_t error = abs(ulp_error_flt(expected, z));
327 ok(error <= s_acos_approx_tests[i].max_error,
328 "acos(%.6e) = %.7e, expected %.7e, error %I64d ULPs, max %u ULPs\n",
329 x, z, expected, error, s_acos_approx_tests[i].max_error);
330 }
331}
332
333#endif // defined(HAS_ACOSF)
334
335#if defined(HAS_LIBM_SSE2)
336
337__ATTRIBUTE_SSE2__ __m128d __libm_sse2_acos(__m128d Xmm0);
338
339__ATTRIBUTE_SSE2__
340void Test_libm_sse2_acos(void)
341{
342 int i;
343 for (i = 0; i < _countof(s_acos_approx_tests); i++)
344 {
345 double x = s_acos_approx_tests[i].x;
346 double expected = s_acos_approx_tests[i].expected.rounded;
347 __m128d xmm0 = _mm_set_sd(x);
348 __m128d xmm1 = __libm_sse2_acos(xmm0);
349 double z = _mm_cvtsd_f64(xmm1);
350 int64_t error = ulp_error_precise(&s_acos_approx_tests[i].expected, z);
351 ok(error <= s_acos_approx_tests[i].max_error,
352 "__libm_sse2_acos(%.17e) = %.17e, expected %.17e, error %I64d ULPs, max %u ULPs\n",
353 x, z, expected, error, s_acos_approx_tests[i].max_error);
354 }
355}
356
357__ATTRIBUTE_SSE2__ __m128 __libm_sse2_acosf(__m128 Xmm0);
358
359__ATTRIBUTE_SSE2__
360void Test_libm_sse2_acosf(void)
361{
362 int i;
363 for (i = 0; i < _countof(s_acosf_approx_tests); i++)
364 {
365 float x = s_acosf_approx_tests[i].x;
366 float expected = s_acosf_approx_tests[i].expected.rounded;
367 __m128 xmm0 = _mm_set_ps1(x);
368 __m128 xmm1 = __libm_sse2_acosf(xmm0);
369 float z = _mm_cvtss_f32(xmm1);
370 int64_t error = ulp_error_flt(expected, z);
371 ok(error <= s_acosf_approx_tests[i].max_error,
372 "__libm_sse2_acosf(%.6e) = %.7e, expected %.7e, error %I64d ULPs, max %u ULPs\n",
373 x, z, expected, error, s_acosf_approx_tests[i].max_error);
374 }
375}
376
377#endif // defined(HAS_LIBM_SSE2)
378
379START_TEST(acos)
380{
381 Test_acos_exact();
382 Test_acos_approx();
383#if defined(HAS_ACOSF)
384 Test_acosf_exact();
385 Test_acosf_approx();
386#endif
387#if defined(HAS_LIBM_SSE2)
388 Test_libm_sse2_acos();
389 Test_libm_sse2_acosf();
390#endif
391}
acos
valarray< _Tp > acos(const valarray< _Tp > &__x)
Definition: _valarray.h:901
ok
#define ok(value,...)
Definition: atltest.h:57
START_TEST
#define START_TEST(x)
Definition: atltest.h:75
int64_t
INT64 int64_t
Definition: types.h:72
_mm_set_sd
__m128d _mm_set_sd(double w)
Definition: emmintrin.h:1037
_mm_cvtsd_f64
double _mm_cvtsd_f64(__m128d a)
Definition: emmintrin.h:931
abs
#define abs(i)
Definition: fconv.c:206
x
GLint GLint GLint GLint GLint x
Definition: gl.h:1548
result
GLuint64EXT * result
Definition: glext.h:11304
z
GLdouble GLdouble z
Definition: glext.h:5874
i
GLsizei GLenum const GLvoid GLsizei GLenum GLbyte GLbyte GLbyte GLdouble GLdouble GLdouble GLfloat GLfloat GLfloat GLint GLint GLint GLshort GLshort GLshort GLubyte GLubyte GLubyte GLuint GLuint GLuint GLushort GLushort GLushort GLbyte GLbyte GLbyte GLbyte GLdouble GLdouble GLdouble GLdouble GLfloat GLfloat GLfloat GLfloat GLint GLint GLint GLint GLshort GLshort GLshort GLshort GLubyte GLubyte GLubyte GLubyte GLuint GLuint GLuint GLuint GLushort GLushort GLushort GLushort GLboolean const GLdouble const GLfloat const GLint const GLshort const GLbyte const GLdouble const GLfloat const GLint const GLshort const GLdouble const GLfloat const GLint const GLshort const GLdouble const GLfloat const GLint const GLshort const GLdouble const GLfloat const GLint const GLshort const GLdouble const GLdouble const GLfloat const GLfloat const GLint const GLint const GLshort const GLshort const GLdouble const GLfloat const GLint const GLshort const GLdouble const GLfloat const GLint const GLshort const GLdouble const GLfloat const GLint const GLshort const GLdouble const GLfloat const GLint const GLshort const GLdouble const GLfloat const GLint const GLshort const GLdouble const GLfloat const GLint const GLshort const GLdouble const GLfloat const GLint const GLshort GLenum GLenum GLenum GLfloat GLenum GLint GLenum GLenum GLenum GLfloat GLenum GLenum GLint GLenum GLfloat GLenum GLint GLint GLushort GLenum GLenum GLfloat GLenum GLenum GLint GLfloat const GLubyte GLenum GLenum GLenum const GLfloat GLenum GLenum const GLint GLenum GLint GLint GLsizei GLsizei GLint GLenum GLenum const GLvoid GLenum GLenum const GLfloat GLenum GLenum const GLint GLenum GLenum const GLdouble GLenum GLenum const GLfloat GLenum GLenum const GLint GLsizei GLuint GLfloat GLuint GLbitfield GLfloat GLint GLuint GLboolean GLenum GLfloat GLenum GLbitfield GLenum GLfloat GLfloat GLint GLint const GLfloat GLenum GLfloat GLfloat GLint GLint GLfloat GLfloat GLint GLint const GLfloat GLint GLfloat GLfloat GLint GLfloat GLfloat GLint GLfloat GLfloat const GLdouble const GLfloat const GLdouble const GLfloat GLint i
Definition: glfuncs.h:248
acosf
_Check_return_ float __cdecl acosf(_In_ float x)
Definition: math.h:233
__libm_sse2_acos
__ATTRIBUTE_SSE2__ __m128d __libm_sse2_acos(__m128d Xmm0)
Definition: libm_sse2.c:23
__libm_sse2_acosf
__ATTRIBUTE_SSE2__ __m128 __libm_sse2_acosf(__m128 Xmm0)
Definition: libm_sse2.c:30
math_helpers.h
ok_eq_dbl_exact
#define ok_eq_dbl_exact(func, ullx, z, ullexp)
Definition: math_helpers.h:184
u64_to_dbl
static __inline double u64_to_dbl(UINT64 x)
Definition: math_helpers.h:25
__ATTRIBUTE_SSE2__
#define __ATTRIBUTE_SSE2__
Definition: math_helpers.h:19
ulp_error_precise
static __inline int64_t ulp_error_precise(PRECISE_VALUE *expected, double result)
Definition: math_helpers.h:154
ulp_error_flt
static __inline int ulp_error_flt(float expected, float result)
Definition: math_helpers.h:138
ok_eq_flt_exact
#define ok_eq_flt_exact(func, ux, z, uexp)
Definition: math_helpers.h:194
error
#define error(str)
Definition: mkdosfs.c:1605
s_acosf_approx_tests
static TESTENTRY_DBL_APPROX s_acosf_approx_tests[]
Definition: acos.c:209
Test_acosf_approx
void Test_acosf_approx(void)
Definition: acos.c:319
Test_acosf_exact
void Test_acosf_exact(void)
Definition: acos.c:195
s_acos_exact_tests
static TESTENTRY_DBL s_acos_exact_tests[]
Definition: acos.c:25
Test_acos_approx
void Test_acos_approx(void)
Definition: acos.c:160
s_acos_approx_tests
static TESTENTRY_DBL_APPROX s_acos_approx_tests[]
Definition: acos.c:54
Test_acos_exact
void Test_acos_exact(void)
Definition: acos.c:43
s_acosf_exact_tests
static TESTENTRY_DBL s_acosf_exact_tests[]
Definition: acos.c:177
expected
BOOL expected
Definition: store.c:2000
_countof
#define _countof(array)
Definition: sndvol32.h:70
_PRECISE_VALUE::rounded
double rounded
Definition: math_helpers.h:80
_TESTENTRY_DBL_APPROX
Definition: math_helpers.h:85
_TESTENTRY_DBL_APPROX::expected
PRECISE_VALUE expected
Definition: math_helpers.h:87
_TESTENTRY_DBL_APPROX::x
double x
Definition: math_helpers.h:86
_TESTENTRY_DBL
Definition: math_helpers.h:55
_mm_cvtss_f32
float _mm_cvtss_f32(__m128 a)
Definition: xmmintrin.h:921
_mm_set_ps1
__m128 _mm_set_ps1(float a)