bionic/tests/math_data/sqrtf_intel_data.h
Jingwei Zhang 56b2b2916b Accuracy tests for libm
This patch adds more tests for math functions to address coverage
issue of math functions discussed in:
https://android-review.googlesource.com/#/c/49653/
https://android-review.googlesource.com/#/c/94780/

These are data sets used in regression tests for the Intel the math library (libm). They were collected over a long period of testing various libm implementations.
The data sets contain function specific data (special and corner cases such as +/-0, maximum/minimum normalized numbers, +/-infinity, QNaN/SNaN, maximum/minimum denormal numbers, arguments that would produce close to overflow/underflow results, known hard-to-round cases, etc), implementation specific data (arguments close to table look-up values for different polynomial approximations, worst cases for range reduction algorithms) and other data with interesting bit patterns.
The reference values are computed with Maple and were converted into hexadecimal format.

Change-Id: I7177c282937369eae98f25d02134e4fc3beadde8
Signed-off-by: Jingwei Zhang <jingwei.zhang@intel.com>
Signed-off-by: Mingwei Shi <mingwei.shi@intel.com>
2015-02-14 00:56:46 +08:00

711 lines
14 KiB
C

/*
* Copyright (C) 2014 The Android Open Source Project
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
static data_1_1_t<float, float> g_sqrtf_intel_data[] = {
{ // Entry 0
0x1.p-1,
0x1.p-2
},
{ // Entry 1
0x1.p-10,
0x1.p-20
},
{ // Entry 2
0x1.000000ffffff8000007fffff600000dfp-1,
0x1.000002p-2
},
{ // Entry 3
0x1.000000ffffff8000007fffff600000dfp-20,
0x1.000002p-40
},
{ // Entry 4
0x1.000000ffffff8000007fffff600000dfp-63,
0x1.000002p-126
},
{ // Entry 5
0x1.6a09eaa61169a3b76f99ea0d364efd91p-63,
0x1.000006p-125
},
{ // Entry 6
0x1.6a0a0584cc337abc8740253db45a12f6p-3,
0x1.00002cp-5
},
{ // Entry 7
0x1.6a0a1ef97b51a8def43dbb5dc7f37ff0p-11,
0x1.000050p-21
},
{ // Entry 8
0x1.6a0a1ef97b51a8def43dbb5dc7f37ff0p-18,
0x1.000050p-35
},
{ // Entry 9
0x1.6a0a359a157a0b9bd4ff286a2eab2edfp-21,
0x1.000070p-41
},
{ // Entry 10
0x1.6a0a9898a74a019a7cc18157814e39d9p-6,
0x1.0000fcp-11
},
{ // Entry 11
0x1.6a0a9898a74a019a7cc18157814e39d9p-59,
0x1.0000fcp-117
},
{ // Entry 12
0x1.6a0a9898a74a019a7cc18157814e39d9p-61,
0x1.0000fcp-121
},
{ // Entry 13
0x1.6a0a9898a74a019a7cc18157814e39d9p1,
0x1.0000fcp3
},
{ // Entry 14
0x1.6a0ab377552adf71413bdc5fdf2d3e0dp63,
0x1.000122p127
},
{ // Entry 15
0x1.6a0b1d87f00e99851a9dcb6fb9c2d56ep-3,
0x1.0001b8p-5
},
{ // Entry 16
0x1.6a0ba98930c5cb58722f06e15c330f95p-1,
0x1.00027ep-1
},
{ // Entry 17
0x1.6a0bea96a144bf2a9c899380f11039d1p0,
0x1.0002dap1
},
{ // Entry 18
0x1.6a0d3c935fb77764b4cc3f34e117a891p-49,
0x1.0004b8p-97
},
{ // Entry 19
0x1.6a0d6700222327f1053e4a429adb015ep-3,
0x1.0004f4p-5
},
{ // Entry 20
0x1.6a0dc893ce705ac35b85bb49e3aa1badp0,
0x1.00057ep1
},
{ // Entry 21
0x1.001ffe003ff601bfac107ca6b29a0c31p-20,
0x1.0040p-40
},
{ // Entry 22
0x1.6a3724d10762c86a71fe557d13336111p-21,
0x1.0040p-41
},
{ // Entry 23
0x1.6a38a9884557da551f3ec21f785779d7p6,
0x1.004226p13
},
{ // Entry 24
0x1.6abbeb82dbfd8f20f5923ab389eef7f3p-11,
0x1.00fcp-21
},
{ // Entry 25
0x1.0085dd004f71f5362dd6a5e09a9cee74p-10,
0x1.010cp-20
},
{ // Entry 26
0x1.0085dd004f71f5362dd6a5e09a9cee74p-20,
0x1.010cp-40
},
{ // Entry 27
0x1.6cdb707e0273cc8e2a1d99aa3ad67b66p0,
0x1.040062p1
},
{ // Entry 28
0x1.6e14fb33af5d199451a44c592d18f9e1p-11,
0x1.05c0p-21
},
{ // Entry 29
0x1.6e3eedfff2f9d88cc837d36b17bce548p-11,
0x1.05fcp-21
},
{ // Entry 30
0x1.708713bb31c17627489983a6397ff529p-1,
0x1.094250p-1
},
{ // Entry 31
0x1.7214c125cb8b2284459daa230a47b9dfp-11,
0x1.0b80p-21
},
{ // Entry 32
0x1.7528ce694c692ce6ecf340f96e7ac410p-9,
0x1.0ff7f8p-17
},
{ // Entry 33
0x1.752b9263582a2e3ab2a36ee98ed34a19p-11,
0x1.0ffcp-21
},
{ // Entry 34
0x1.752b9263582a2e3ab2a36ee98ed34a19p-49,
0x1.0ffcp-97
},
{ // Entry 35
0x1.752b9263582a2e3ab2a36ee98ed34a19p-63,
0x1.0ffcp-125
},
{ // Entry 36
0x1.752b9263582a2e3ab2a36ee98ed34a19p-68,
0x1.0ffcp-135
},
{ // Entry 37
0x1.752bcd629c83e4378e77e8fb09e0dfb8p0,
0x1.0ffc56p1
},
{ // Entry 38
0x1.752cdbac2ec6fddb69cc2e00bdf1fd02p4,
0x1.0ffde0p9
},
{ // Entry 39
0x1.752cf45e665c37b7d77c8c9fb50cd678p-4,
0x1.0ffe04p-7
},
{ // Entry 40
0x1.752cf45e665c37b7d77c8c9fb50cd678p-63,
0x1.0ffe04p-125
},
{ // Entry 41
0x1.752cf45e665c37b7d77c8c9fb50cd678p1,
0x1.0ffe04p3
},
{ // Entry 42
0x1.752d6a5c75cf3b16e5de9a228f3ef4dap1,
0x1.0ffeb0p3
},
{ // Entry 43
0x1.752d6a5c75cf3b16e5de9a228f3ef4dap28,
0x1.0ffeb0p57
},
{ // Entry 44
0x1.752e105f70189628b0d2d6e17ca2b9c5p1,
0x1.0fffa2p3
},
{ // Entry 45
0x1.752e4b5e4f95f6a45bcfd8721ccbf950p-4,
0x1.0ffff8p-7
},
{ // Entry 46
0x1.752e4b5e4f95f6a45bcfd8721ccbf950p-53,
0x1.0ffff8p-105
},
{ // Entry 47
0x1.752e4b5e4f95f6a45bcfd8721ccbf950p-61,
0x1.0ffff8p-121
},
{ // Entry 48
0x1.752e4b5e4f95f6a45bcfd8721ccbf950p-62,
0x1.0ffff8p-123
},
{ // Entry 49
0x1.752e4b5e4f95f6a45bcfd8721ccbf950p1,
0x1.0ffff8p3
},
{ // Entry 50
0x1.784220501c1fc95d7e2043339d354588p-1,
0x1.148128p-1
},
{ // Entry 51
0x1.78cc0a00054d7683165ea2815b6b8d14p-11,
0x1.154cp-21
},
{ // Entry 52
0x1.7ea8336e0f268f6d05f0934a67b4840ap-32,
0x1.1dfd34p-63
},
{ // Entry 53
0x1.0ec1270014d42e5424a7780b67b4974cp-10,
0x1.1e5cp-20
},
{ // Entry 54
0x1.0f7a3974c0a036ead45a0017d4782e1ap-10,
0x1.1fe4p-20
},
{ // Entry 55
0x1.10207f000077f1ab909fb7b5314f837fp-1,
0x1.214512p-2
},
{ // Entry 56
0x1.8c4487000042dd2813dd730d1a7f3cabp1,
0x1.32b20ap3
},
{ // Entry 57
0x1.8dc41537f0b639cb37aedfa8d531d4cfp-51,
0x1.3504e0p-101
},
{ // Entry 58
0x1.8fae0c15ad389e24852497e80935e4b5p-63,
0x1.38p-125
},
{ // Entry 59
0x1.95b8c0ffff868994f9ce14b11aa1cfd5p-2,
0x1.41810cp-3
},
{ // Entry 60
0x1.a644fe00060ec83a5393c3c3cd39fc95p-1,
0x1.5c43c4p-1
},
{ // Entry 61
0x1.b7070406a4527543e7e1a93c34a2d6f7p-1,
0x1.787488p-1
},
{ // Entry 62
0x1.3836b2ffff863cbb58a0fb2bcad85474p-1,
0x1.7cc560p-2
},
{ // Entry 63
0x1.bb67ad5dea55ebaf21faa9bb10eabdf1p-21,
0x1.7ffffep-41
},
{ // Entry 64
0x1.ce7e96000007bfd0ed97130360c298ddp-1,
0x1.a1c692p-1
},
{ // Entry 65
0x1.d10d73f80594d3d73fae1f2d6a130247p0,
0x1.a668f0p1
},
{ // Entry 66
0x1.d94c090afeb02b92e741bb236186bc86p-1,
0x1.b58508p-1
},
{ // Entry 67
0x1.de4315000013008bf12e454d672ffbdfp-2,
0x1.bebf4ap-3
},
{ // Entry 68
0x1.e768d28cf1e3981570e875af113546c7p-21,
0x1.cffffep-41
},
{ // Entry 69
0x1.e7f0cc5a77a783be336f9b5127709acep-1,
0x1.d10306p-1
},
{ // Entry 70
0x1.f3169029c9867f10142750dc51d5843dp-1,
0x1.e6807cp-1
},
{ // Entry 71
0x1.f6eb62d27730caff89a8d78c7314934ap-60,
0x1.eep-119
},
{ // Entry 72
0x1.f8f3935d2ecc7256a14d7c8816275c60p-21,
0x1.f1fffep-41
},
{ // Entry 73
0x1.f94a8e8524ece8623432ace75571785ep-1,
0x1.f2ab9ep-1
},
{ // Entry 74
0x1.faa0p-1,
0x1.f54e72p-1
},
{ // Entry 75
0x1.feefb698fc02e71c2377deb225837a87p-63,
0x1.fddffep-125
},
{ // Entry 76
0x1.fffffcfffffdbffffc9ffff9abfff2b5p-1,
0x1.fffffap-1
},
{ // Entry 77
0x1.fffffdfffffefffffefffffebffffe3fp-4,
0x1.fffffcp-7
},
{ // Entry 78
0x1.fffffdfffffefffffefffffebffffe3fp-21,
0x1.fffffcp-41
},
{ // Entry 79
0x1.fffffdfffffefffffefffffebffffe3fp-63,
0x1.fffffcp-125
},
{ // Entry 80
0x1.fffffeffffffbfffffdfffffebfffff1p-4,
0x1.fffffep-7
},
{ // Entry 81
0x1.fffffeffffffbfffffdfffffebfffff1p0,
0x1.fffffep1
},
{ // Entry 82
0x1.306fdec8dc9ad32b551e92585b7094f3p-1,
0x1.6a09e2p-2
},
{ // Entry 83
0x1.306fdfa02198a13d946ad818ec615547p-1,
0x1.6a09e4p-2
},
{ // Entry 84
0x1.306fe0776695d717e1e11958d56541cfp-1,
0x1.6a09e6p-2
},
{ // Entry 85
0x1.306fe14eab9274ba3ec43d966959f47cp-1,
0x1.6a09e8p-2
},
{ // Entry 86
0x1.306fe225f08e7a24ac572c4b8579785fp-1,
0x1.6a09eap-2
},
{ // Entry 87
0x1.ae89f6f6fe087ac302131f3840da7a90p-1,
0x1.6a09e2p-1
},
{ // Entry 88
0x1.ae89f8276dea8c7accb82339973f2af9p-1,
0x1.6a09e4p-1
},
{ // Entry 89
0x1.ae89f957ddcbc6ed986cf1a0e754d170p-1,
0x1.6a09e6p-1
},
{ // Entry 90
0x1.ae89fa884dac2a1b66fa324394d3c590p-1,
0x1.6a09e8p-1
},
{ // Entry 91
0x1.ae89fbb8bd8bb6043a288cf0b4eef0aep-1,
0x1.6a09eap-1
},
{ // Entry 92
0x1.306fdec8dc9ad32b551e92585b7094f3p0,
0x1.6a09e2p0
},
{ // Entry 93
0x1.306fdfa02198a13d946ad818ec615547p0,
0x1.6a09e4p0
},
{ // Entry 94
0x1.306fe0776695d717e1e11958d56541cfp0,
0x1.6a09e6p0
},
{ // Entry 95
0x1.306fe14eab9274ba3ec43d966959f47cp0,
0x1.6a09e8p0
},
{ // Entry 96
0x1.306fe225f08e7a24ac572c4b8579785fp0,
0x1.6a09eap0
},
{ // Entry 97
0x1.ae89f6f6fe087ac302131f3840da7a90p0,
0x1.6a09e2p1
},
{ // Entry 98
0x1.ae89f8276dea8c7accb82339973f2af9p0,
0x1.6a09e4p1
},
{ // Entry 99
0x1.ae89f957ddcbc6ed986cf1a0e754d170p0,
0x1.6a09e6p1
},
{ // Entry 100
0x1.ae89fa884dac2a1b66fa324394d3c590p0,
0x1.6a09e8p1
},
{ // Entry 101
0x1.ae89fbb8bd8bb6043a288cf0b4eef0aep0,
0x1.6a09eap1
},
{ // Entry 102
0x1.fffffeffffffbfffffdfffffebfffff1p-4,
0x1.fffffep-7
},
{ // Entry 103
0x1.p-3,
0x1.p-6
},
{ // Entry 104
0x1.000000ffffff8000007fffff600000dfp-3,
0x1.000002p-6
},
{ // Entry 105
0x1.6a09e5b2eec967cd97b2eff75f471493p-3,
0x1.fffffep-6
},
{ // Entry 106
0x1.6a09e667f3bcc908b2fb1366ea957d3ep-3,
0x1.p-5
},
{ // Entry 107
0x1.6a09e7d1fda27bf77d45272dd2d83a4bp-3,
0x1.000002p-5
},
{ // Entry 108
0x1.fffffeffffffbfffffdfffffebfffff1p-3,
0x1.fffffep-5
},
{ // Entry 109
0x1.p-2,
0x1.p-4
},
{ // Entry 110
0x1.000000ffffff8000007fffff600000dfp-2,
0x1.000002p-4
},
{ // Entry 111
0x1.6a09e5b2eec967cd97b2eff75f471493p-2,
0x1.fffffep-4
},
{ // Entry 112
0x1.6a09e667f3bcc908b2fb1366ea957d3ep-2,
0x1.p-3
},
{ // Entry 113
0x1.6a09e7d1fda27bf77d45272dd2d83a4bp-2,
0x1.000002p-3
},
{ // Entry 114
0x1.fffffeffffffbfffffdfffffebfffff1p-2,
0x1.fffffep-3
},
{ // Entry 115
0x1.p-1,
0x1.p-2
},
{ // Entry 116
0x1.000000ffffff8000007fffff600000dfp-1,
0x1.000002p-2
},
{ // Entry 117
0x1.6a09e5b2eec967cd97b2eff75f471493p-1,
0x1.fffffep-2
},
{ // Entry 118
0x1.6a09e667f3bcc908b2fb1366ea957d3ep-1,
0x1.p-1
},
{ // Entry 119
0x1.6a09e7d1fda27bf77d45272dd2d83a4bp-1,
0x1.000002p-1
},
{ // Entry 120
0x1.fffffeffffffbfffffdfffffebfffff1p-1,
0x1.fffffep-1
},
{ // Entry 121
0x1.p0,
0x1.p0
},
{ // Entry 122
0x1.000000ffffff8000007fffff600000dfp0,
0x1.000002p0
},
{ // Entry 123
0x1.6a09e5b2eec967cd97b2eff75f471493p0,
0x1.fffffep0
},
{ // Entry 124
0x1.6a09e667f3bcc908b2fb1366ea957d3ep0,
0x1.p1
},
{ // Entry 125
0x1.6a09e7d1fda27bf77d45272dd2d83a4bp0,
0x1.000002p1
},
{ // Entry 126
0x1.fffffeffffffbfffffdfffffebfffff1p0,
0x1.fffffep1
},
{ // Entry 127
0x1.p1,
0x1.p2
},
{ // Entry 128
0x1.000000ffffff8000007fffff600000dfp1,
0x1.000002p2
},
{ // Entry 129
0.0,
0.0
},
{ // Entry 130
0x1.6a09e667f3bcc908b2fb1366ea957d3ep-75,
0x1.p-149
},
{ // Entry 131
0x1.fffffdfffffefffffefffffebffffe3fp-64,
0x1.fffffcp-127
},
{ // Entry 132
0x1.p-63,
0x1.p-126
},
{ // Entry 133
0x1.000000ffffff8000007fffff600000dfp-63,
0x1.000002p-126
},
{ // Entry 134
0x1.6a09e667f3bcc908b2fb1366ea957d3ep-75,
0x1.p-149
},
{ // Entry 135
0x1.279a75809da58a0811243c04849bccb2p-64,
0x1.555558p-128
},
{ // Entry 136
0x1.a20bd62fbcd82b1d65e201b6160bb97fp-64,
0x1.555554p-127
},
{ // Entry 137
0x1.fffffdfffffefffffefffffebffffe3fp-64,
0x1.fffffcp-127
},
{ // Entry 138
0x1.fffffcfffffdbffffc9ffff9abfff2b5p-1,
0x1.fffffap-1
},
{ // Entry 139
0x1.fffffdfffffefffffefffffebffffe3fp-1,
0x1.fffffcp-1
},
{ // Entry 140
0x1.fffffeffffffbfffffdfffffebfffff1p-1,
0x1.fffffep-1
},
{ // Entry 141
0x1.p0,
0x1.p0
},
{ // Entry 142
0x1.000000ffffff8000007fffff600000dfp0,
0x1.000002p0
},
{ // Entry 143
0x1.fffffcfffffdbffffc9ffff9abfff2b5p-1,
0x1.fffffap-1
},
{ // Entry 144
0x1.fffffdfffffefffffefffffebffffe3fp-1,
0x1.fffffcp-1
},
{ // Entry 145
0x1.fffffeffffffbfffffdfffffebfffff1p-1,
0x1.fffffep-1
},
{ // Entry 146
0x1.p0,
0x1.p0
},
{ // Entry 147
0x1.000000ffffff8000007fffff600000dfp0,
0x1.000002p0
},
{ // Entry 148
0x1.fffffeffffffbfffffdfffffebfffff1p63,
0x1.fffffep127
},
{ // Entry 149
HUGE_VALF,
HUGE_VALF
},
{ // Entry 150
0x1.fffffeffffffbfffffdfffffebfffff1p63,
0x1.fffffep127
},
{ // Entry 151
0x1.fffffdfffffefffffefffffebffffe3fp63,
0x1.fffffcp127
},
{ // Entry 152
0x1.c5bf89853a94d473c88f0dc85f187a6ep0,
0x1.921fb6p1
},
{ // Entry 153
0x1.40d9324a48137bb45e891e1bdffe64c2p0,
0x1.921fb6p0
},
{ // Entry 154
0x1.000000ffffff8000007fffff600000dfp0,
0x1.000002p0
},
{ // Entry 155
0x1.p0,
0x1.p0
},
{ // Entry 156
0x1.fffffeffffffbfffffdfffffebfffff1p-1,
0x1.fffffep-1
},
{ // Entry 157
0x1.c5bf89853a94d473c88f0dc85f187a6ep-1,
0x1.921fb6p-1
},
{ // Entry 158
0x1.000000ffffff8000007fffff600000dfp-63,
0x1.000002p-126
},
{ // Entry 159
0x1.p-63,
0x1.p-126
},
{ // Entry 160
0x1.fffffdfffffefffffefffffebffffe3fp-64,
0x1.fffffcp-127
},
{ // Entry 161
0x1.fffffbfffffbfffff7ffffebffffc7ffp-64,
0x1.fffff8p-127
},
{ // Entry 162
0x1.p-74,
0x1.p-148
},
{ // Entry 163
0x1.6a09e667f3bcc908b2fb1366ea957d3ep-75,
0x1.p-149
},
{ // Entry 164
0.0,
0.0f
},
{ // Entry 165
-0.0,
-0.0f
},
{ // Entry 166
0x1.p1,
0x1.p2
},
{ // Entry 167
0x1.p2,
0x1.p4
},
{ // Entry 168
0x1.80p1,
0x1.20p3
},
{ // Entry 169
0x1.40p2,
0x1.90p4
},
{ // Entry 170
0x1.p-1,
0x1.p-2
},
{ // Entry 171
0x1.c0p2,
0x1.88p5
},
{ // Entry 172
0x1.40p3,
0x1.90p6
}
};