Difference between revisions of "SEGGER Floating-Point Library"
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Revision as of 00:30, 31 January 2020
The SEGGER Floating-Point Library is an essential part of the SEGGER Runtime Library. It is available stand-alone or as part of the SEGGER Runtime Library package, and already included in the use of SEGGER Embedded Studio.
The floating-point library contains complete, fully optimized and verified floating point functionality, which is required for devices without an FPU. The floating-point emulator, a crucial part of the floating-point library, of the Arm and RISC-V variants are written in assembly language, optimized either for small code size or increased execution speed. For other processor architectures the library has a portable C implementation.
For more information, refer to https://www.segger.com/products/development-tools/runtime-library/technology/floating-point-library
Explicit Function Performance on Arm
These are the detailed results of the IEEE-754 Floating-point Benchmark run on an Arm Cortex-M4 microcontroller (NXP K66FN2M0):
IEEE-754 Floating-point Library Benchmarks Copyright (c) 2018-2020 SEGGER Microcontroller GmbH.
Target: Cortex-M
sinf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 38D1B717 +1.00e-04 38D1B717 +1.00e-04 38D1B717 +1.00e-04 24.00 0.00 21 sin(1e-4) 3A83126F +1.00e-03 3A83126E +1.00e-03 3A83126E +1.00e-03 24.00 0.00 55 sin(1e-3) 3C23D70A +1.00e-02 3C23D657 +1.00e-02 3C23D657 +1.00e-02 24.00 0.00 55 sin(1e-2) 3DCCCCCD +1.00e-01 3DCC7577 +9.98e-02 3DCC7577 +9.98e-02 24.00 0.00 54 sin(1e-1) 3F800000 +1.00e+00 3F576AA4 +8.41e-01 3F576AA4 +8.41e-01 24.00 0.00 139 sin(1) 3FBC7F84 +1.47e+00 3F7EC48E +9.95e-01 3F7EC48E +9.95e-01 24.00 0.00 138 sin(1.47264147) 3FC90FAD +1.57e+00 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 138 sin(1.57079089) 40490FAC +3.14e+00 373A8886 +1.11e-05 373A8886 +1.11e-05 24.00 0.00 106 sinf(3.14158154) 421C4B56 +3.91e+01 3F7B14E5 +9.81e-01 3F7B14E5 +9.81e-01 24.00 0.00 148 sin(39.0735703) 43B18000 +3.55e+02 B7FCDE82 -3.01e-05 B7FCDE82 -3.01e-05 24.00 0.00 152 sin(355) 49800036 +1.05e+06 3F384A92 +7.20e-01 3F384A92 +7.20e-01 24.00 0.00 176 sin(1048582.75) 489965E8 +3.14e+05 BC7BA1B2 -1.54e-02 BC7BA1B2 -1.54e-02 24.00 0.00 151 sin(100000*Pi) 501502F9 +1.00e+10 BEF99A64 -4.88e-01 BEF99A64 -4.88e-01 24.00 0.00 187 sin(1e10) 7E967699 +1.00e+38 3F7D39E2 +9.89e-01 3F7D39E2 +9.89e-01 24.00 0.00 186 sin(1e38) ------ ------ ------ ----------------- 336.00 0.00 1706 Total
cosf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 38D1B717 +1.00e-04 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 3 cos(1e-4) 3A83126F +1.00e-03 3F7FFFF8 +1.00e+00 3F7FFFF8 +1.00e+00 24.00 0.00 48 cos(1e-3) 3C23D70A +1.00e-02 3F7FFCB9 +1.00e+00 3F7FFCB9 +1.00e+00 24.00 0.00 48 cos(1e-2) 3DCCCCCD +1.00e-01 3F7EB898 +9.95e-01 3F7EB898 +9.95e-01 24.00 0.00 48 cos(1e-1) 3F800000 +1.00e+00 3F0A5140 +5.40e-01 3F0A5140 +5.40e-01 24.00 0.00 136 cos(1) 3FBC7F84 +1.47e+00 3DC8B2D2 +9.80e-02 3DC8B2D2 +9.80e-02 24.00 0.00 103 cos(1.47264147) 3FC90FE7 +1.57e+00 B5C5DDE9 -1.47e-06 B5C5DDE9 -1.47e-06 24.00 0.00 103 cos(1.57079780) 40C90FE6 +6.28e+00 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 136 cos(6.28319073) 43B18000 +3.55e+02 BF800000 -1.00e+00 BF800000 -1.00e+00 24.00 0.00 180 cos(355) 489965E8 +3.14e+05 3F7FF845 +1.00e+00 3F7FF845 +1.00e+00 24.00 0.00 180 cos(100000*Pi) 501502F9 +1.00e+10 3F5F84C5 +8.73e-01 3F5F84C5 +8.73e-01 24.00 0.00 183 cos(1e10) 7E967699 +1.00e+38 3E1655CD +1.47e-01 3E1655CD +1.47e-01 24.00 0.00 182 cos(1e38) ------ ------ ------ ----------------- 288.00 0.00 1350 Total
tanf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 38D1B717 +1.00e-04 38D1B717 +1.00e-04 38D1B717 +1.00e-04 24.00 0.00 25 tan(1e-4) 3A83126F +1.00e-03 3A831272 +1.00e-03 3A831272 +1.00e-03 24.00 0.00 74 tan(1e-3) 3C23D70A +1.00e-02 3C23D870 +1.00e-02 3C23D870 +1.00e-02 24.00 0.00 74 tan(1e-2) 3DCCCCCD +1.00e-01 3DCD7C44 +1.00e-01 3DCD7C44 +1.00e-01 24.00 0.00 73 tan(1e-1) 3F800000 +1.00e+00 3FC75923 +1.56e+00 3FC75923 +1.56e+00 24.00 0.00 258 tan(1) 40CEAB45 +6.46e+00 3E35493C +1.77e-01 3E35493C +1.77e-01 24.00 0.00 258 tan(6.45840693) 43B18000 +3.55e+02 37FCDE82 +3.01e-05 37FCDE82 +3.01e-05 24.00 0.00 282 tan(355) 489965E8 +3.14e+05 BC7BA94B -1.54e-02 BC7BA94B -1.54e-02 24.00 0.00 273 tan(100000*Pi) 501502F9 +1.00e+10 BF0EF000 -5.58e-01 BF0EF000 -5.58e-01 24.00 0.00 304 tan(1e10) 7E967699 +1.00e+38 40D79AC2 +6.74e+00 40D79AC2 +6.74e+00 24.00 0.00 321 tan(1e38) ------ ------ ------ ----------------- 240.00 0.00 1942 Total
expf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 00000000 +0.00e+00 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 3 expf(0) 3727C5AC +1.00e-05 3F800054 +1.00e+00 3F800054 +1.00e+00 24.00 0.00 44 expf(1e-5) 38D1B717 +1.00e-04 3F800347 +1.00e+00 3F800347 +1.00e+00 24.00 0.00 44 expf(1e-4) 3951B717 +2.00e-04 3F80068E +1.00e+00 3F80068E +1.00e+00 24.00 0.00 44 expf(2e-4) 39D1B717 +4.00e-04 3F800D1C +1.00e+00 3F800D1C +1.00e+00 24.00 0.00 43 expf(4e-4) 39EBEDFA +4.50e-04 3F800EC0 +1.00e+00 3F800EC0 +1.00e+00 24.00 0.00 44 expf(4.5e-4) 3A83126F +1.00e-03 3F8020C9 +1.00e+00 3F8020C9 +1.00e+00 24.00 0.00 44 expf(1e-3) 3E80A138 +2.51e-01 3FA48EBB +1.29e+00 3FA48EBB +1.29e+00 24.00 0.00 81 expf(0.25123) 3F0D1D69 +5.51e-01 3FDE2123 +1.74e+00 3FDE2123 +1.74e+00 24.00 0.00 80 expf(0.55123) 4101999A +8.10e+00 454DE782 +3.29e+03 454DE782 +3.29e+03 24.00 0.00 81 expf(8.1) 4180CCCD +1.61e+01 4B15DA03 +9.82e+06 4B15DA03 +9.82e+06 24.00 0.00 81 expf(16.1) ------ ------ ------ ----------------- 264.00 0.00 589 Total
logf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 3727C5AC +1.00e-05 C13834F1 -1.15e+01 C13834F1 -1.15e+01 24.00 0.00 158 logf(1e-5) 44800000 +1.02e+03 40DDCE9E +6.93e+00 40DDCE9E +6.93e+00 24.00 0.00 100 logf(1024) 45828A00 +4.18e+03 41056606 +8.34e+00 41056606 +8.34e+00 24.00 0.00 140 logf(4177.25) ------ ------ ------ ----------------- 72.00 0.00 398 Total
sinhf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 3727C5AC +1.00e-05 3727C5AC +1.00e-05 3727C5AC +1.00e-05 24.00 0.00 22 sinhf(1e-5) 38D1B717 +1.00e-04 38D1B717 +1.00e-04 38D1B717 +1.00e-04 24.00 0.00 23 sinhf(1e-4) 3951B717 +2.00e-04 3951B717 +2.00e-04 3951B717 +2.00e-04 24.00 0.00 23 sinhf(2e-4) 39D1B717 +4.00e-04 39D1B717 +4.00e-04 39D1B717 +4.00e-04 24.00 0.00 60 sinhf(4e-4) 39EBEDFA +4.50e-04 39EBEDFB +4.50e-04 39EBEDFB +4.50e-04 24.00 0.00 59 sinhf(4.5e-4) 3A83126F +1.00e-03 3A831270 +1.00e-03 3A831270 +1.00e-03 24.00 0.00 60 sinhf(1e-3) 3E80A138 +2.51e-01 3E81FCB6 +2.54e-01 3E81FCB6 +2.54e-01 24.00 0.00 60 sinhf(0.25123) 3F0D1D69 +5.51e-01 3F145EE3 +5.80e-01 3F145EE3 +5.80e-01 24.00 0.00 119 sinhf(0.55123) 4101999A +8.10e+00 44CDE781 +1.65e+03 44CDE781 +1.65e+03 24.00 0.00 121 sinhf(8.1) 4180CCCD +1.61e+01 4A95DA03 +4.91e+06 4A95DA03 +4.91e+06 24.00 0.00 108 sinhf(16.1) ------ ------ ------ ----------------- 240.00 0.00 655 Total
coshf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 3727C5AC +1.00e-05 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 28 coshf(1e-5) 38D1B717 +1.00e-04 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 28 coshf(1e-4) 3951B717 +2.00e-04 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 29 coshf(2e-4) 39D1B717 +4.00e-04 3F800001 +1.00e+00 3F800001 +1.00e+00 24.00 0.00 48 coshf(4e-4) 39EBEDFA +4.50e-04 3F800001 +1.00e+00 3F800001 +1.00e+00 24.00 0.00 48 coshf(4.5e-4) 3A83126F +1.00e-03 3F800004 +1.00e+00 3F800004 +1.00e+00 24.00 0.00 47 coshf(1e-3) 3E80A138 +2.51e-01 3F840F8D +1.03e+00 3F840F8D +1.03e+00 24.00 0.00 48 coshf(0.25123) 3F0D1D69 +5.51e-01 3F93F1B2 +1.16e+00 3F93F1B2 +1.16e+00 24.00 0.00 111 coshf(0.55123) 4101999A +8.10e+00 44CDE784 +1.65e+03 44CDE784 +1.65e+03 24.00 0.00 114 coshf(8.1) 4180CCCD +1.61e+01 4A95DA03 +4.91e+06 4A95DA03 +4.91e+06 24.00 0.00 100 coshf(16.1) ------ ------ ------ ----------------- 240.00 0.00 601 Total
tanhf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 3E800000 +2.50e-01 3E7ACBF5 +2.45e-01 3E7ACBF5 +2.45e-01 24.00 0.00 66 tanhf(0.25) 3F800000 +1.00e+00 3F42F7D6 +7.62e-01 3F42F7D6 +7.62e-01 24.00 0.00 108 tanhf(1) 41200000 +1.00e+01 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 18 tanhf(10) ------ ------ ------ ----------------- 72.00 0.00 192 Total ======= ====== ====== ================= 1752.00 0.00 7433 Grand Total ======= ====== ====== =================
Explicit Function Performance on RISC-V
These are the detailed results of the IEEE-754 Floating-point Benchmark run on a RISC-V RV32IMAC microcontroller (GigaDevice GD32VF103):
IEEE-754 Floating-point Library Benchmarks Copyright (c) 2018-2020 SEGGER Microcontroller GmbH.
Target: RV32IMAC
sinf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 38D1B717 +1.00e-04 38D1B717 +1.00e-04 38D1B717 +1.00e-04 24.00 0.00 8 sin(1e-4) 3A83126F +1.00e-03 3A83126E +1.00e-03 3A83126E +1.00e-03 24.00 0.00 70 sin(1e-3) 3C23D70A +1.00e-02 3C23D657 +1.00e-02 3C23D657 +1.00e-02 24.00 0.00 67 sin(1e-2) 3DCCCCCD +1.00e-01 3DCC7577 +9.98e-02 3DCC7577 +9.98e-02 24.00 0.00 67 sin(1e-1) 3F800000 +1.00e+00 3F576AA4 +8.41e-01 3F576AA4 +8.41e-01 24.00 0.00 182 sin(1) 3FBC7F84 +1.47e+00 3F7EC48E +9.95e-01 3F7EC48E +9.95e-01 24.00 0.00 193 sin(1.47264147) 3FC90FAD +1.57e+00 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 196 sin(1.57079089) 40490FAC +3.14e+00 373A8886 +1.11e-05 373A8886 +1.11e-05 24.00 0.00 153 sin(3.14158154) 421C4B56 +3.91e+01 3F7B14E5 +9.81e-01 3F7B14E5 +9.81e-01 24.00 0.00 193 sin(39.0735703) 43B18000 +3.55e+02 B7FCDE82 -3.01e-05 B7FCDE82 -3.01e-05 24.00 0.00 219 sin(355) 49800036 +1.05e+06 3F384A92 +7.20e-01 3F384A92 +7.20e-01 24.00 0.00 236 sin(1048582.75) 489965E8 +3.14e+05 BC7BA1B2 -1.54e-02 BC7BA1B2 -1.54e-02 24.00 0.00 214 sin(100000*Pi) 501502F9 +1.00e+10 BEF99A64 -4.88e-01 BEF99A64 -4.88e-01 24.00 0.00 255 sin(1e10) 7E967699 +1.00e+38 3F7D39E2 +9.89e-01 3F7D39E2 +9.89e-01 24.00 0.00 248 sin(1e38) ------ ------ ------ ----------------- 336.00 0.00 2301 Total
cosf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 38D1B717 +1.00e-04 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 10 cos(1e-4) 3A83126F +1.00e-03 3F7FFFF8 +1.00e+00 3F7FFFF8 +1.00e+00 24.00 0.00 50 cos(1e-3) 3C23D70A +1.00e-02 3F7FFCB9 +1.00e+00 3F7FFCB9 +1.00e+00 24.00 0.00 43 cos(1e-2) 3DCCCCCD +1.00e-01 3F7EB898 +9.95e-01 3F7EB898 +9.95e-01 24.00 0.00 43 cos(1e-1) 3F800000 +1.00e+00 3F0A5140 +5.40e-01 3F0A5140 +5.40e-01 24.00 0.00 186 cos(1) 3FBC7F84 +1.47e+00 3DC8B2D2 +9.80e-02 3DC8B2D2 +9.80e-02 24.00 0.00 158 cos(1.47264147) 3FC90FE7 +1.57e+00 B5C5DDE9 -1.47e-06 B5C5DDE9 -1.47e-06 24.00 0.00 161 cos(1.57079780) 40C90FE6 +6.28e+00 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 190 cos(6.28319073) 43B18000 +3.55e+02 BF800000 -1.00e+00 BF800000 -1.00e+00 24.00 0.00 252 cos(355) 489965E8 +3.14e+05 3F7FF845 +1.00e+00 3F7FF845 +1.00e+00 24.00 0.00 251 cos(100000*Pi) 501502F9 +1.00e+10 3F5F84C5 +8.73e-01 3F5F84C5 +8.73e-01 24.00 0.00 245 cos(1e10) 7E967699 +1.00e+38 3E1655CD +1.47e-01 3E1655CD +1.47e-01 24.00 0.00 257 cos(1e38) ------ ------ ------ ----------------- 288.00 0.00 1846 Total
tanf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 38D1B717 +1.00e-04 38D1B717 +1.00e-04 38D1B717 +1.00e-04 24.00 0.00 7 tan(1e-4) 3A83126F +1.00e-03 3A831272 +1.00e-03 3A831272 +1.00e-03 24.00 0.00 92 tan(1e-3) 3C23D70A +1.00e-02 3C23D870 +1.00e-02 3C23D870 +1.00e-02 24.00 0.00 87 tan(1e-2) 3DCCCCCD +1.00e-01 3DCD7C44 +1.00e-01 3DCD7C44 +1.00e-01 24.00 0.00 86 tan(1e-1) 3F800000 +1.00e+00 3FC75923 +1.56e+00 3FC75923 +1.56e+00 24.00 0.00 403 tan(1) 40CEAB45 +6.46e+00 3E35493C +1.77e-01 3E35493C +1.77e-01 24.00 0.00 397 tan(6.45840693) 43B18000 +3.55e+02 37FCDE82 +3.01e-05 37FCDE82 +3.01e-05 24.00 0.00 444 tan(355) 489965E8 +3.14e+05 BC7BA94B -1.54e-02 BC7BA94B -1.54e-02 24.00 0.00 430 tan(100000*Pi) 501502F9 +1.00e+10 BF0EF000 -5.58e-01 BF0EF000 -5.58e-01 24.00 0.00 458 tan(1e10) 7E967699 +1.00e+38 40D79AC2 +6.74e+00 40D79AC2 +6.74e+00 24.00 0.00 483 tan(1e38) ------ ------ ------ ----------------- 240.00 0.00 2887 Total
expf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 00000000 +0.00e+00 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 10 expf(0) 3727C5AC +1.00e-05 3F800054 +1.00e+00 3F800054 +1.00e+00 24.00 0.00 45 expf(1e-5) 38D1B717 +1.00e-04 3F800347 +1.00e+00 3F800347 +1.00e+00 24.00 0.00 41 expf(1e-4) 3951B717 +2.00e-04 3F80068E +1.00e+00 3F80068E +1.00e+00 24.00 0.00 38 expf(2e-4) 39D1B717 +4.00e-04 3F800D1C +1.00e+00 3F800D1C +1.00e+00 24.00 0.00 38 expf(4e-4) 39EBEDFA +4.50e-04 3F800EC0 +1.00e+00 3F800EC0 +1.00e+00 24.00 0.00 38 expf(4.5e-4) 3A83126F +1.00e-03 3F8020C9 +1.00e+00 3F8020C9 +1.00e+00 24.00 0.00 38 expf(1e-3) 3E80A138 +2.51e-01 3FA48EBB +1.29e+00 3FA48EBB +1.29e+00 24.00 0.00 86 expf(0.25123) 3F0D1D69 +5.51e-01 3FDE2123 +1.74e+00 3FDE2123 +1.74e+00 24.00 0.00 89 expf(0.55123) 4101999A +8.10e+00 454DE782 +3.29e+03 454DE782 +3.29e+03 24.00 0.00 88 expf(8.1) 4180CCCD +1.61e+01 4B15DA03 +9.82e+06 4B15DA03 +9.82e+06 24.00 0.00 86 expf(16.1) ------ ------ ------ ----------------- 264.00 0.00 597 Total
logf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 3727C5AC +1.00e-05 C13834F1 -1.15e+01 C13834F1 -1.15e+01 24.00 0.00 265 logf(1e-5) 44800000 +1.02e+03 40DDCE9E +6.93e+00 40DDCE9E +6.93e+00 24.00 0.00 183 logf(1024) 45828A00 +4.18e+03 41056606 +8.34e+00 41056606 +8.34e+00 24.00 0.00 240 logf(4177.25) ------ ------ ------ ----------------- 72.00 0.00 688 Total
sinhf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 3727C5AC +1.00e-05 3727C5AC +1.00e-05 3727C5AC +1.00e-05 24.00 0.00 14 sinhf(1e-5) 38D1B717 +1.00e-04 38D1B717 +1.00e-04 38D1B717 +1.00e-04 24.00 0.00 14 sinhf(1e-4) 3951B717 +2.00e-04 3951B717 +2.00e-04 3951B717 +2.00e-04 24.00 0.00 13 sinhf(2e-4) 39D1B717 +4.00e-04 39D1B717 +4.00e-04 39D1B717 +4.00e-04 24.00 0.00 67 sinhf(4e-4) 39EBEDFA +4.50e-04 39EBEDFB +4.50e-04 39EBEDFB +4.50e-04 24.00 0.00 59 sinhf(4.5e-4) 3A83126F +1.00e-03 3A831270 +1.00e-03 3A831270 +1.00e-03 24.00 0.00 59 sinhf(1e-3) 3E80A138 +2.51e-01 3E81FCB6 +2.54e-01 3E81FCB6 +2.54e-01 24.00 0.00 59 sinhf(0.25123) 3F0D1D69 +5.51e-01 3F145EE3 +5.80e-01 3F145EE3 +5.80e-01 24.00 0.00 137 sinhf(0.55123) 4101999A +8.10e+00 44CDE781 +1.65e+03 44CDE781 +1.65e+03 24.00 0.00 133 sinhf(8.1) 4180CCCD +1.61e+01 4A95DA03 +4.91e+06 4A95DA03 +4.91e+06 24.00 0.00 112 sinhf(16.1) ------ ------ ------ ----------------- 240.00 0.00 667 Total
coshf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 3727C5AC +1.00e-05 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 26 coshf(1e-5) 38D1B717 +1.00e-04 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 24 coshf(1e-4) 3951B717 +2.00e-04 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 24 coshf(2e-4) 39D1B717 +4.00e-04 3F800001 +1.00e+00 3F800001 +1.00e+00 24.00 0.00 50 coshf(4e-4) 39EBEDFA +4.50e-04 3F800001 +1.00e+00 3F800001 +1.00e+00 24.00 0.00 50 coshf(4.5e-4) 3A83126F +1.00e-03 3F800004 +1.00e+00 3F800004 +1.00e+00 24.00 0.00 50 coshf(1e-3) 3E80A138 +2.51e-01 3F840F8D +1.03e+00 3F840F8D +1.03e+00 24.00 0.00 50 coshf(0.25123) 3F0D1D69 +5.51e-01 3F93F1B2 +1.16e+00 3F93F1B2 +1.16e+00 24.00 0.00 140 coshf(0.55123) 4101999A +8.10e+00 44CDE784 +1.65e+03 44CDE784 +1.65e+03 24.00 0.00 139 coshf(8.1) 4180CCCD +1.61e+01 4A95DA03 +4.91e+06 4A95DA03 +4.91e+06 24.00 0.00 126 coshf(16.1) ------ ------ ------ ----------------- 240.00 0.00 679 Total
tanhf() Bits Bits Input Expected Calculated Right Wrong Cycles Comment --------:--------- --------:--------- --------:--------- ----- ----- ------ ----------------- 3E800000 +2.50e-01 3E7ACBF5 +2.45e-01 3E7ACBF5 +2.45e-01 24.00 0.00 89 tanhf(0.25) 3F800000 +1.00e+00 3F42F7D6 +7.62e-01 3F42F7D6 +7.62e-01 24.00 0.00 145 tanhf(1) 41200000 +1.00e+01 3F800000 +1.00e+00 3F800000 +1.00e+00 24.00 0.00 14 tanhf(10) ------ ------ ------ ----------------- 72.00 0.00 248 Total ======= ====== ====== ================= 1752.00 0.00 9913 Grand Total ======= ====== ====== =================