diff options
Diffstat (limited to 'sysdeps/libm-ieee754/t_exp2f.h')
| -rw-r--r-- | sysdeps/libm-ieee754/t_exp2f.h | 301 |
1 files changed, 301 insertions, 0 deletions
diff --git a/sysdeps/libm-ieee754/t_exp2f.h b/sysdeps/libm-ieee754/t_exp2f.h new file mode 100644 index 0000000000..0f7674cefb --- /dev/null +++ b/sysdeps/libm-ieee754/t_exp2f.h @@ -0,0 +1,301 @@ +/* These values are accurate to 23+9 bits when represented as + a float. */ +static const float exp2_accuratetable[256] = { +0.70711034541 /* 0x0.b5052f003 */, +0.70903021104 /* 0x0.b58301004 */, +0.71092861900 /* 0x0.b5ff6b006 */, +0.71286851176 /* 0x0.b67e8d006 */, +0.71481245762 /* 0x0.b6fdf3004 */, +0.71673321725 /* 0x0.b77bd4001 */, +0.71868461379 /* 0x0.b7fbb7006 */, +0.72064983853 /* 0x0.b87c82006 */, +0.72258073096 /* 0x0.b8fb0d003 */, +0.72456008199 /* 0x0.b97cc5002 */, +0.72652846578 /* 0x0.b9fdc5002 */, +0.72848570353 /* 0x0.ba7e0a004 */, +0.73046034578 /* 0x0.baff73003 */, +0.73244112730 /* 0x0.bb8143000 */, +0.73443359139 /* 0x0.bc03d7002 */, +0.73646944762 /* 0x0.bc8943000 */, +0.73839598903 /* 0x0.bd0785006 */, +0.74041211608 /* 0x0.bd8ba6002 */, +0.74243509775 /* 0x0.be103a004 */, +0.74444299943 /* 0x0.be93d1004 */, +0.74646854405 /* 0x0.bf1890003 */, +0.74849390993 /* 0x0.bf9d4c006 */, +0.75051373248 /* 0x0.c021ab003 */, +0.75252974037 /* 0x0.c0a5ca002 */, +0.75460278996 /* 0x0.c12da6006 */, +0.75663453342 /* 0x0.c1b2cd001 */, +0.75867807874 /* 0x0.c238ba006 */, +0.76072299481 /* 0x0.c2bebe000 */, +0.76271909478 /* 0x0.c3418f002 */, +0.76482868204 /* 0x0.c3cbd0006 */, +0.76694220311 /* 0x0.c45653004 */, +0.76902121311 /* 0x0.c4de93003 */, +0.77110719688 /* 0x0.c56748005 */, +0.77314376835 /* 0x0.c5ecc0003 */, +0.77531152970 /* 0x0.c67ad1004 */, +0.77739948042 /* 0x0.c703a7005 */, +0.77948719274 /* 0x0.c78c79007 */, +0.78161448246 /* 0x0.c817e3004 */, +0.78381162885 /* 0x0.c8a7e1002 */, +0.78587090971 /* 0x0.c92ed6001 */, +0.78799921275 /* 0x0.c9ba51001 */, +0.79011362800 /* 0x0.ca44e3006 */, +0.79225623615 /* 0x0.cad14e005 */, +0.79441082487 /* 0x0.cb5e82006 */, +0.79654645924 /* 0x0.cbea78003 */, +0.79873132707 /* 0x0.cc79a8001 */, +0.80093026168 /* 0x0.cd09c4005 */, +0.80304825308 /* 0x0.cd9492001 */, +0.80526113516 /* 0x0.ce2598004 */, +0.80742740634 /* 0x0.ceb390002 */, +0.80963188410 /* 0x0.cf4409000 */, +0.81180763254 /* 0x0.cfd2a0006 */, +0.81401169308 /* 0x0.d06312005 */, +0.81622666121 /* 0x0.d0f43b000 */, +0.81843453653 /* 0x0.d184ed005 */, +0.82070738078 /* 0x0.d219e1001 */, +0.82289630179 /* 0x0.d2a955003 */, +0.82509487868 /* 0x0.d3396b000 */, +0.82737630616 /* 0x0.d3ceef007 */, +0.82961845408 /* 0x0.d461e0007 */, +0.83179849386 /* 0x0.d4f0bf000 */, +0.83408612023 /* 0x0.d586ab007 */, +0.83636939536 /* 0x0.d61c4e007 */, +0.83862531186 /* 0x0.d6b026000 */, +0.84094470740 /* 0x0.d74827000 */, +0.84316509971 /* 0x0.d7d9ab006 */, +0.84546715027 /* 0x0.d87089004 */, +0.84781247378 /* 0x0.d90a3d000 */, +0.85004067431 /* 0x0.d99c44007 */, +0.85237431530 /* 0x0.da3534003 */, +0.85468208790 /* 0x0.dacc72000 */, +0.85696077349 /* 0x0.db61c8002 */, +0.85931611062 /* 0x0.dbfc24000 */, +0.86171466122 /* 0x0.dc9955007 */, +0.86397939929 /* 0x0.dd2dc1006 */, +0.86633706098 /* 0x0.ddc844004 */, +0.86868536481 /* 0x0.de622a006 */, +0.87101131681 /* 0x0.defa99002 */, +0.87337517739 /* 0x0.df9584000 */, +0.87576484682 /* 0x0.e03220001 */, +0.87814646969 /* 0x0.e0ce35007 */, +0.88050335648 /* 0x0.e168ab002 */, +0.88291734457 /* 0x0.e206df000 */, +0.88522624975 /* 0x0.e29e30004 */, +0.88768237833 /* 0x0.e33f27003 */, +0.89007008077 /* 0x0.e3dba2001 */, +0.89250904327 /* 0x0.e47b79004 */, +0.89490824949 /* 0x0.e518b5007 */, +0.89735335113 /* 0x0.e5b8f3001 */, +0.89977204799 /* 0x0.e65776000 */, +0.90221023561 /* 0x0.e6f740001 */, +0.90468037137 /* 0x0.e79922006 */, +0.90711551909 /* 0x0.e838b9003 */, +0.90958660844 /* 0x0.e8daab002 */, +0.91205561170 /* 0x0.e97c7a006 */, +0.91451990614 /* 0x0.ea1dfa006 */, +0.91699457179 /* 0x0.eac028007 */, +0.91948717833 /* 0x0.eb6383000 */, +0.92201787240 /* 0x0.ec095d004 */, +0.92446959027 /* 0x0.ecaa0a006 */, +0.92700457577 /* 0x0.ed502c003 */, +0.92946064473 /* 0x0.edf122000 */, +0.93202102187 /* 0x0.ee98ee001 */, +0.93454003345 /* 0x0.ef3e04007 */, +0.93707615143 /* 0x0.efe439004 */, +0.93964391957 /* 0x0.f08c81007 */, +0.94217014323 /* 0x0.f13210007 */, +0.94470518835 /* 0x0.f1d833005 */, +0.94727593667 /* 0x0.f280ad004 */, +0.94985383753 /* 0x0.f3299f002 */, +0.95245110992 /* 0x0.f3d3d6002 */, +0.95500063903 /* 0x0.f47aec004 */, +0.95758175857 /* 0x0.f52414004 */, +0.96018302447 /* 0x0.f5ce8e004 */, +0.96279788024 /* 0x0.f679ec005 */, +0.96541762355 /* 0x0.f7259c002 */, +0.96803289660 /* 0x0.f7d101005 */, +0.97066921004 /* 0x0.f87dc7006 */, +0.97328519823 /* 0x0.f92938001 */, +0.97589331867 /* 0x0.f9d425001 */, +0.97858297827 /* 0x0.fa846a001 */, +0.98121380814 /* 0x0.fb30d4005 */, +0.98389244083 /* 0x0.fbe060002 */, +0.98657202723 /* 0x0.fc8ffc001 */, +0.98919564488 /* 0x0.fd3bed001 */, +0.99194401506 /* 0x0.fdf00b002 */, +0.99460238224 /* 0x0.fe9e43004 */, +0.99728542574 /* 0x0.ff4e19005 */, +1.00000000000 /* 0x1.000000000 */, +1.00271666054 /* 0x1.00b20a003 */, +1.00544095058 /* 0x1.01649400c */, +1.00819313547 /* 0x1.0218f200e */, +1.01089513312 /* 0x1.02ca06007 */, +1.01363527782 /* 0x1.037d9a005 */, +1.01635849497 /* 0x1.04301200e */, +1.01918780808 /* 0x1.04e97e003 */, +1.02182090297 /* 0x1.05960e00a */, +1.02468311789 /* 0x1.0651a2002 */, +1.02744102491 /* 0x1.070660009 */, +1.03019988541 /* 0x1.07bb2e002 */, +1.03300857552 /* 0x1.087340005 */, +1.03580951708 /* 0x1.092ad000b */, +1.03865504271 /* 0x1.09e54c004 */, +1.04145348082 /* 0x1.0a9cb2007 */, +1.04426109801 /* 0x1.0b54b2007 */, +1.04706287389 /* 0x1.0c0c50003 */, +1.04996109020 /* 0x1.0cca40007 */, +1.05282557024 /* 0x1.0d85fa009 */, +1.05564439314 /* 0x1.0e3eb600c */, +1.05850863475 /* 0x1.0efa6c00c */, +1.06137108805 /* 0x1.0fb604001 */, +1.06423723713 /* 0x1.1071da00a */, +1.06716394429 /* 0x1.1131a8003 */, +1.07004547127 /* 0x1.11ee80005 */, +1.07294559497 /* 0x1.12ac9000c */, +1.07586789139 /* 0x1.136c14005 */, +1.07873940478 /* 0x1.142844007 */, +1.08172726651 /* 0x1.14ec1400e */, +1.08459246171 /* 0x1.15a7da008 */, +1.08752059939 /* 0x1.1667c0001 */, +1.09050178536 /* 0x1.172b20005 */, +1.09349620361 /* 0x1.17ef5e00d */, +1.09634935875 /* 0x1.18aa5a00d */, +1.09940552720 /* 0x1.1972a4006 */, +1.10237383858 /* 0x1.1a352c00a */, +1.10530221471 /* 0x1.1af516006 */, +1.10838031771 /* 0x1.1bbed0001 */, +1.11137616648 /* 0x1.1c8326009 */, +1.11441528816 /* 0x1.1d4a5200d */, +1.11741960066 /* 0x1.1e0f3600c */, +1.12044525152 /* 0x1.1ed580003 */, +1.12346303485 /* 0x1.1f9b4600f */, +1.12655401230 /* 0x1.2065d8000 */, +1.12955987463 /* 0x1.212ad6007 */, +1.13263440148 /* 0x1.21f45400b */, +1.13567769541 /* 0x1.22bbc6009 */, +1.13877141483 /* 0x1.238686005 */, +1.14189016826 /* 0x1.2452ea004 */, +1.14495265504 /* 0x1.251b9e00e */, +1.14807951452 /* 0x1.25e88a001 */, +1.15118837366 /* 0x1.26b448006 */, +1.15428590795 /* 0x1.277f4800e */, +1.15744590761 /* 0x1.284e60001 */, +1.16055941596 /* 0x1.291a6c00a */, +1.16371822369 /* 0x1.29e970008 */, +1.16683173193 /* 0x1.2ab57c009 */, +1.17002511035 /* 0x1.2b86c4007 */, +1.17321026344 /* 0x1.2c578200d */, +1.17639815811 /* 0x1.2d286e002 */, +1.17961537856 /* 0x1.2dfb4600c */, +1.18278920671 /* 0x1.2ecb4600e */, +1.18602204342 /* 0x1.2f9f2400d */, +1.18924140952 /* 0x1.30722000f */, +1.19246912021 /* 0x1.3145a800c */, +1.19566547881 /* 0x1.321722007 */, +1.19890022298 /* 0x1.32eb2000e */, +1.20205938816 /* 0x1.33ba2a000 */, +1.20533752458 /* 0x1.34910000b */, +1.20865476136 /* 0x1.356a66003 */, +1.21195018302 /* 0x1.36425e007 */, +1.21525228034 /* 0x1.371ac6007 */, +1.21851313125 /* 0x1.37f07a007 */, +1.22183310988 /* 0x1.38ca0e001 */, +1.22516608253 /* 0x1.39a47c00a */, +1.22848713419 /* 0x1.3a7e2200f */, +1.23174583912 /* 0x1.3b53b2000 */, +1.23522067082 /* 0x1.3c376c008 */, +1.23849928397 /* 0x1.3d0e4a00c */, +1.24181902431 /* 0x1.3de7da00f */, +1.24523758889 /* 0x1.3ec7e4001 */, +1.24859035038 /* 0x1.3fa39e00f */, +1.25193393249 /* 0x1.407ebe00d */, +1.25539278994 /* 0x1.41616c007 */, +1.25880420214 /* 0x1.4240fe004 */, +1.26223969480 /* 0x1.43222400e */, +1.26558542253 /* 0x1.43fd68001 */, +1.26904225354 /* 0x1.44dff4003 */, +1.27251851576 /* 0x1.45c3c600c */, +1.27593302748 /* 0x1.46a38c00f */, +1.27941727649 /* 0x1.4787e4007 */, +1.28286683578 /* 0x1.4869f600d */, +1.28636789342 /* 0x1.494f6800e */, +1.28982734693 /* 0x1.4a3220009 */, +1.29335498813 /* 0x1.4b1950002 */, +1.29684555547 /* 0x1.4bfe1200b */, +1.30039131655 /* 0x1.4ce672009 */, +1.30388665216 /* 0x1.4dcb8400b */, +1.30738770972 /* 0x1.4eb0f6007 */, +1.31095492852 /* 0x1.4f9abe008 */, +1.31452167056 /* 0x1.50847e00f */, +1.31807971017 /* 0x1.516dac00b */, +1.32168746004 /* 0x1.525a1c006 */, +1.32518649117 /* 0x1.533f6c00b */, +1.32884454737 /* 0x1.542f28007 */, +1.33244597914 /* 0x1.551b2e002 */, +1.33601069461 /* 0x1.5604cc007 */, +1.33969032765 /* 0x1.56f5f2000 */, +1.34328985233 /* 0x1.57e1d800d */, +1.34692609319 /* 0x1.58d026006 */, +1.35055744648 /* 0x1.59be22000 */, +1.35424625891 /* 0x1.5aafe200c */, +1.35795569436 /* 0x1.5ba2fc00b */, +1.36158764384 /* 0x1.5c910200e */, +1.36525344864 /* 0x1.5d814000a */, +1.36908590815 /* 0x1.5e7c6a00e */, +1.37272357954 /* 0x1.5f6ad0009 */, +1.37639832498 /* 0x1.605ba4001 */, +1.38020527377 /* 0x1.615522009 */, +1.38388323800 /* 0x1.62462c00b */, +1.38770687583 /* 0x1.6340c2002 */, +1.39144265656 /* 0x1.643596003 */, +1.39518976211 /* 0x1.652b28000 */, +1.39905631551 /* 0x1.66288e006 */, +1.40280294419 /* 0x1.671e18000 */, +1.40661609194 /* 0x1.6817fe00e */, +1.41035604489 /* 0x1.690d18008 */ +}; +#define S (1.0/8388608.0) /* 2^-23 */ +static const float exp2_deltatable[256] = { + 61*S, 107*S, -301*S, -91*S, 98*S, -194*S, -57*S, 223*S, + -162*S, 176*S, 241*S, 32*S, 24*S, 29*S, 138*S, 871*S, + -280*S, -49*S, 204*S, 122*S, 238*S, 262*S, 108*S, -195*S, + 330*S, 103*S, -23*S, -215*S, -1269*S, -610*S, 19*S, 13*S, + 28*S, -819*S, 298*S, 78*S, -233*S, -18*S, 1186*S, 172*S, + 135*S, -203*S, -197*S, -97*S, -374*S, 8*S, 512*S, -295*S, + 240*S, -15*S, 214*S, -75*S, -30*S, 88*S, 12*S, 806*S, + 273*S, -204*S, 445*S, 429*S, -579*S, -109*S, 207*S, 38*S, + 695*S, -161*S, 68*S, 825*S, -178*S, 233*S, 187*S, -358*S, + 91*S, 1056*S, 53*S, 265*S, 257*S, -150*S, -118*S, 182*S, + 281*S, -49*S, 317*S, -844*S, -80*S, -339*S, 10*S, -269*S, + -16*S, -208*S, -226*S, 95*S, -141*S, 14*S, 52*S, -61*S, + -125*S, -41*S, 454*S, -176*S, 196*S, -550*S, -26*S, -129*S, + -99*S, 250*S, -25*S, -274*S, -154*S, -32*S, 247*S, -169*S, + -272*S, -209*S, -64*S, 53*S, 25*S, 171*S, -25*S, -406*S, + 135*S, -141*S, 84*S, 231*S, -396*S, 414*S, 36*S, -129*S, + 0*S, 65*S, 133*S, 447*S, 70*S, 62*S, -236*S, 639*S, + -903*S, 181*S, -58*S, -373*S, -191*S, -189*S, 244*S, 39*S, + -147*S, -488*S, 196*S, 400*S, -9*S, 15*S, -70*S, -201*S, + 267*S, 133*S, 121*S, 270*S, -240*S, 466*S, -289*S, -428*S, + -66*S, 352*S, -880*S, 41*S, -96*S, -758*S, 130*S, 29*S, + 310*S, 124*S, 81*S, -135*S, 348*S, -172*S, -44*S, -338*S, + -183*S, 148*S, -206*S, 32*S, -9*S, -257*S, 61*S, -196*S, + -69*S, -501*S, -193*S, -60*S, 12*S, 296*S, 46*S, 311*S, + 349*S, 383*S, 11*S, -60*S, -980*S, -789*S, -296*S, -112*S, + 49*S, -289*S, -128*S, 72*S, 65*S, -643*S, 682*S, -6*S, + -378*S, 124*S, -103*S, -506*S, 116*S, 190*S, 406*S, -326*S, + -83*S, 255*S, -83*S, 152*S, -30*S, 185*S, -80*S, 206*S, + 56*S, 332*S, 50*S, -266*S, -58*S, 56*S, 1*S, 313*S, + -458*S, 135*S, 122*S, -312*S, 206*S, -89*S, -141*S, -325*S, + -83*S, 253*S, -190*S, -419*S, 738*S, 83*S, -331*S, 328*S, + -233*S, 391*S, 159*S, -62*S, 663*S, 261*S, 345*S, -288*S +}; +/* Maximum magnitude in above table: 1269 */ +#undef S +#define EXP2_TSIZE 8 +#define EXP2_TTOL 9 +#define EXP2_FSIZE 23 +#define EXP2_FNAME float |