📄 w_tgamma.s
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data8 0xF597B038BC957582,0x00003FFE // C41data8 0xBFC6F0884A415694,0x00003FFD // C51data8 0xBA075A1392BDB5E5,0x0000BFFD // C61data8 0xA4B79E01B44C7DB4,0x0000BFFF // C71data8 0x9D12FA7711BFAB0F,0x0000C000 // C81data8 0xFF24C47C8E108AB4,0x0000C000 // C91data8 0xC7325EC86562606A,0x0000C001 // CA1data8 0x8B47DCD9E1610938,0x00003FFF // C00data8 0x9518B111B70F88B8,0x00003FFF // C10data8 0xA9CC197206F68682,0x00003FFF // C20data8 0xCB98294CC0D7A6A6,0x00003FFF // C30data8 0xFE09493EA9165181,0x00003FFF // C40//[128; 129]data8 0xFE53D03442270D90,0x00003FFF // C01data8 0xF0F857BAEC1993E4,0x00003FFF // C11data8 0xD5FF6D70DBBC2FD3,0x00003FFF // C21data8 0xACDAA5F4988B1074,0x00003FFF // C31data8 0xE92E069F8AD75B54,0x00003FFE // C41data8 0xAEBB64645BD94234,0x00003FFD // C51data8 0xC13746249F39B43C,0x0000BFFD // C61data8 0xA36B74F5B6297A1F,0x0000BFFF // C71data8 0x9A77860DF180F6E5,0x0000C000 // C81data8 0xF9F8457D84410A0C,0x0000C000 // C91data8 0xC2BF44C649EB8597,0x0000C001 // CA1data8 0x81225E7489BCDC0E,0x00003FFF // C00data8 0x8A788A09CE0EED11,0x00003FFF // C10data8 0x9E2E6F86D1B1D89C,0x00003FFF // C20data8 0xBE6866B21CF6CCB5,0x00003FFF // C30data8 0xEE94426EC1486AAE,0x00003FFF // C40//[144; 145]data8 0xF6113E09732A6497,0x00003FFF // C01data8 0xE900D45931B04FC8,0x00003FFF // C11data8 0xCE9FD58F745EBA5D,0x00003FFF // C21data8 0xA663A9636C864C86,0x00003FFF // C31data8 0xDEBF5315896CE629,0x00003FFE // C41data8 0xA05FEA415EBD7737,0x00003FFD // C51data8 0xC750F112BD9C4031,0x0000BFFD // C61data8 0xA2593A35C51C6F6C,0x0000BFFF // C71data8 0x9848E1DA7FB40C8C,0x0000C000 // C81data8 0xF59FEE87A5759A4B,0x0000C000 // C91data8 0xBF00203909E45A1D,0x0000C001 // CA1data8 0xF1D8E157200127E5,0x00003FFE // C00data8 0x81DD5397CB08D487,0x00003FFF // C10data8 0x94C1DC271A8B766F,0x00003FFF // C20data8 0xB3AFAF9B5D6EDDCF,0x00003FFF // C30data8 0xE1FB4C57CA81BE1E,0x00003FFF // C40//[160; 161]data8 0xEEFFE5122AC72FFD,0x00003FFF // C01data8 0xE22F70BB52AD54B3,0x00003FFF // C11data8 0xC84FF021FE993EEA,0x00003FFF // C21data8 0xA0DA2208EB5B2752,0x00003FFF // C31data8 0xD5CDD2FCF8AD2DF5,0x00003FFE // C41data8 0x940BEC6DCD811A59,0x00003FFD // C51data8 0xCC954EF4FD4EBB81,0x0000BFFD // C61data8 0xA1712E29A8C04554,0x0000BFFF // C71data8 0x966B55DFB243521A,0x0000C000 // C81data8 0xF1E6A2B9CEDD0C4C,0x0000C000 // C91data8 0xBBC87BCC031012DB,0x0000C001 // CA1data8 0xE43974E6D2818583,0x00003FFE // C00data8 0xF5702A516B64C5B7,0x00003FFE // C10data8 0x8CEBCB1B32E19471,0x00003FFF // C20data8 0xAAC10F05BB77E0AF,0x00003FFF // C30data8 0xD776EFCAB205CC58,0x00003FFF // C40//[176; 177]data8 0xE8DA614119811E5D,0x00003FFF // C01data8 0xDC415E0288B223D8,0x00003FFF // C11data8 0xC2D2243E44EC970E,0x00003FFF // C21data8 0x9C086664B5307BEA,0x00003FFF // C31data8 0xCE03D7A08B461156,0x00003FFE // C41data8 0x894BE3BAAAB66ADC,0x00003FFD // C51data8 0xD131EDD71A702D4D,0x0000BFFD // C61data8 0xA0A907CDDBE10898,0x0000BFFF // C71data8 0x94CC3CD9C765C808,0x0000C000 // C81data8 0xEEA85F237815FC0D,0x0000C000 // C91data8 0xB8FA04B023E43F91,0x0000C001 // CA1data8 0xD8B2C7D9FCBD7EF9,0x00003FFE // C00data8 0xE9566E93AAE7E38F,0x00003FFE // C10data8 0x8646E78AABEF0255,0x00003FFF // C20data8 0xA32AEDB62E304345,0x00003FFF // C30data8 0xCE83E40280EE7DF0,0x00003FFF // C40////[2; 3]data8 0xC44FB47E90584083,0x00004001 // C50data8 0xE863EE77E1C45981,0x00004001 // C60data8 0x8AC15BE238B9D70E,0x00004002 // C70data8 0xA5D94B6592350EF4,0x00004002 // C80data8 0xC379DB3E20A148B3,0x00004002 // C90data8 0xDACA49B73974F6C9,0x00004002 // CA0data8 0x810E496A1AFEC895,0x00003FE1 // An//[16; 17]data8 0xE17C0357AAF3F817,0x00004001 // C50data8 0x8BA8804750FBFBFE,0x00004002 // C60data8 0xB18EAB3CB64BEBEE,0x00004002 // C70data8 0xE90AB7015AF1C28F,0x00004002 // C80data8 0xA0AB97CE9E259196,0x00004003 // C90data8 0xF5E0E0A000C2D720,0x00004003 // CA0data8 0xD97F0F87EC791954,0x00004005 // An//[32; 33]data8 0x980C293F3696040D,0x00004001 // C50data8 0xC0DBFFBB948A9A4E,0x00004001 // C60data8 0xFAB54625E9A588A2,0x00004001 // C70data8 0xA7E08176D6050FBF,0x00004002 // C80data8 0xEBAAEC4952270A9F,0x00004002 // C90data8 0xB7479CDAD20550FE,0x00004003 // CA0data8 0xAACD45931C3FF634,0x00004054 // An//[48; 49]data8 0xF5180F0000419AD5,0x00004000 // C50data8 0x9D507D07BFBB2273,0x00004001 // C60data8 0xCEB53F7A13A383E3,0x00004001 // C70data8 0x8BAFEF9E0A49128F,0x00004002 // C80data8 0xC58EF912D39E228C,0x00004002 // C90data8 0x9A88118422BA208E,0x00004003 // CA0data8 0xBD6C0E2477EC12CB,0x000040AC // An//[64; 65]data8 0xD410AC48BF7748DA,0x00004000 // C50data8 0x89399B90AFEBD931,0x00004001 // C60data8 0xB596DF8F77EB8560,0x00004001 // C70data8 0xF6D9445A047FB4A6,0x00004001 // C80data8 0xAF52F0DD65221357,0x00004002 // C90data8 0x8989B45BFC881989,0x00004003 // CA0data8 0xB7FCAE86E6E10D5A,0x0000410B // An//[80; 81]data8 0xBE759740E3B5AA84,0x00004000 // C50data8 0xF8037B1B07D27609,0x00004000 // C60data8 0xA4F6F6C7F0977D4F,0x00004001 // C70data8 0xE131960233BF02C4,0x00004001 // C80data8 0xA06DF43D3922BBE2,0x00004002 // C90data8 0xFC266AB27255A360,0x00004002 // CA0data8 0xD9F4B012EDAFEF2F,0x0000416F // An//[96; 97]data8 0xAEFC84CDA8E1EAA6,0x00004000 // C50data8 0xE5009110DB5F3C8A,0x00004000 // C60data8 0x98F5F48738E7B232,0x00004001 // C70data8 0xD17EE64E21FFDC6B,0x00004001 // C80data8 0x9596F7A7E36145CC,0x00004002 // C90data8 0xEB64DBE50E125CAF,0x00004002 // CA0data8 0xA090530D79E32D2E,0x000041D8 // An//[112; 113]data8 0xA33AEA22A16B2655,0x00004000 // C50data8 0xD682B93BD7D7945C,0x00004000 // C60data8 0x8FC854C6E6E30CC3,0x00004001 // C70data8 0xC5754D828AFFDC7A,0x00004001 // C80data8 0x8D41216B397139C2,0x00004002 // C90data8 0xDE78D746848116E5,0x00004002 // CA0data8 0xB8A297A2DC0630DB,0x00004244 // An//[128; 129]data8 0x99EB00F11D95E292,0x00004000 // C50data8 0xCB005CB911EB779A,0x00004000 // C60data8 0x8879AA2FDFF3A37A,0x00004001 // C70data8 0xBBDA538AD40CAC2C,0x00004001 // C80data8 0x8696D849D311B9DE,0x00004002 // C90data8 0xD41E1C041481199F,0x00004002 // CA0data8 0xEBA1A43D34EE61EE,0x000042B3 // An//[144; 145]data8 0x924F822578AA9F3D,0x00004000 // C50data8 0xC193FAF9D3B36960,0x00004000 // C60data8 0x827AE3A6B68ED0CA,0x00004001 // C70data8 0xB3F52A27EED23F0B,0x00004001 // C80data8 0x811A079FB3C94D79,0x00004002 // C90data8 0xCB94415470B6F8D2,0x00004002 // CA0data8 0x80A0260DCB3EC9AC,0x00004326 // An//[160; 161]data8 0x8BF24091E88B331D,0x00004000 // C50data8 0xB9ADE01187E65201,0x00004000 // C60data8 0xFAE4508F6E7625FE,0x00004000 // C70data8 0xAD516668AD6D7367,0x00004001 // C80data8 0xF8F5FF171154F637,0x00004001 // C90data8 0xC461321268990C82,0x00004002 // CA0data8 0xC3B693F344B0E6FE,0x0000439A // An////[176; 177]data8 0x868545EB42A258ED,0x00004000 // C50data8 0xB2EF04ACE8BA0E6E,0x00004000 // C60data8 0xF247D22C22E69230,0x00004000 // C70data8 0xA7A1AB93E3981A90,0x00004001 // C80data8 0xF10951733E2C697F,0x00004001 // C90data8 0xBE3359BFAD128322,0x00004002 // CA0data8 0x8000000000000000,0x00003fff////[160; 161] for negativesdata8 0xA76DBD55B2E32D71,0x00003C63 // 1/An//// sin(pi*x)/pidata8 0xBCBC4342112F52A2,0x00003FDE // S21data8 0xFAFCECB86536F655,0x0000BFE3 // S19data8 0x87E4C97F9CF09B92,0x00003FE9 // S17data8 0xEA124C68E704C5CB,0x0000BFED // S15data8 0x9BA38CFD59C8AA1D,0x00003FF2 // S13data8 0x99C0B552303D5B21,0x0000BFF6 // S11////[176; 177] for negativesdata8 0xBA5D5869211696FF,0x00003BEC // 1/An//// sin(pi*x)/pidata8 0xD63402E79A853175,0x00003FF9 // S9data8 0xC354723906DB36BA,0x0000BFFC // S7data8 0xCFCE5A015E236291,0x00003FFE // S5data8 0xD28D3312983E9918,0x0000BFFF // S3////// [1.0;1.25]data8 0xA405530B067ECD3C,0x0000BFFC // A15data8 0xF5B5413F95E1C282,0x00003FFD // A14data8 0xC4DED71C782F76C8,0x0000BFFE // A13data8 0xECF7DDDFD27C9223,0x00003FFE // A12data8 0xFB73D31793068463,0x0000BFFE // A11data8 0xFF173B7E66FD1D61,0x00003FFE // A10data8 0xFFA5EF3959089E94,0x0000BFFE // A9data8 0xFF8153BD42E71A4F,0x00003FFE // A8data8 0xFEF9CAEE2CB5B533,0x0000BFFE // A7data8 0xFE3F02E5EDB6811E,0x00003FFE // A6data8 0xFB64074CED2658FB,0x0000BFFE // A5data8 0xFB52882A095B18A4,0x00003FFE // A4data8 0xE8508C7990A0DAC0,0x0000BFFE // A3data8 0xFD32C611D8A881D0,0x00003FFE // A2data8 0x93C467E37DB0C536,0x0000BFFE // A1data8 0x8000000000000000,0x00003FFF // A0//// [1.25;1.5]data8 0xD038092400619677,0x0000BFF7 // A15data8 0xEA6DE925E6EB8C8F,0x00003FF3 // A14data8 0xC53F83645D4597FC,0x0000BFF7 // A13data8 0xE366DB2FB27B7ECD,0x00003FF7 // A12data8 0xAC8FD5E11F6EEAD8,0x0000BFF8 // A11data8 0xFB14010FB3697785,0x00003FF8 // A10data8 0xB6F91CB5C371177B,0x0000BFF9 // A9data8 0x85A262C6F8FEEF71,0x00003FFA // A8data8 0xC038E6E3261568F9,0x0000BFFA // A7data8 0x8F4BDE8883232364,0x00003FFB // A6data8 0xBCFBBD5786537E9A,0x0000BFFB // A5data8 0xA4C08BAF0A559479,0x00003FFC // A4data8 0x85D74FA063E81476,0x0000BFFC // A3data8 0xDB629FB9BBDC1C4E,0x00003FFD // A2data8 0xF4F8FBC7C0C9D317,0x00003FC6 // A1data8 0xE2B6E4153A57746C,0x00003FFE // A0//// [1.25;1.5]data8 0x9533F9D3723B448C,0x0000BFF2 // A15data8 0xF1F75D3C561CBBAF,0x00003FF5 // A14data8 0xBA55A9A1FC883523,0x0000BFF8 // A13data8 0xB5D5E9E5104FA995,0x00003FFA // A12data8 0xFD84F35B70CD9AE2,0x0000BFFB // A11data8 0x87445235F4688CC5,0x00003FFD // A10data8 0xE7F236EBFB9F774E,0x0000BFFD // A9data8 0xA6605F2721F787CE,0x00003FFE // A8data8 0xCF579312AD7EAD72,0x0000BFFE // A7data8 0xE96254A2407A5EAC,0x00003FFE // A6data8 0xF41312A8572ED346,0x0000BFFE // A5data8 0xF9535027C1B1F795,0x00003FFE // A4data8 0xE7E82D0C613A8DE4,0x0000BFFE // A3data8 0xFD23CD9741B460B8,0x00003FFE // A2data8 0x93C30FD9781DBA88,0x0000BFFE // A1data8 0xFFFFF1781FDBEE84,0x00003FFE // A0LOCAL_OBJECT_END(tgamma_data)//==============================================================// Code//==============================================================.section .textGLOBAL_LIBM_ENTRY(tgamma){ .mfi getf.exp GR_Sign_Exp = f8 fma.s1 FR_1m2X = f8,f1,f8 // 2x addl GR_ad_Data = @ltoff(tgamma_data), gp}{ .mfi mov GR_ExpOf8 = 0x10002 // 8 fcvt.fx.trunc.s1 FR_iXt = f8 // [x] mov GR_ExpOf05 = 0xFFFE // 0.5};;{ .mfi getf.sig GR_Sig = f8 fma.s1 FR_2 = f1,f1,f1 // 2 mov GR_Addr_Mask1 = 0x780}{ .mlx setf.exp FR_8 = GR_ExpOf8 movl GR_10 = 0x4024000000000000};;{ .mfi ld8 GR_ad_Data = [GR_ad_Data] fcmp.lt.s1 p14,p15 = f8,f0 tbit.z p12,p13 = GR_Sign_Exp,0x10 // p13 if x >= 2}{ .mlx and GR_Bit2 = 4,GR_Sign_Exp movl GR_12 = 0x4028000000000000};;{ .mfi setf.d FR_10 = GR_10 fma.s1 FR_r02 = f8,f1,f0 extr.u GR_Tbl_Offs = GR_Sig,58,6}{ .mfi(p12) mov GR_Addr_Mask1 = r0 fma.s1 FR_NormX = f8,f1,f0 cmp.ne p8,p0 = GR_Bit2,r0};;{ .mfi(p8) shladd GR_Tbl_Offs = GR_Tbl_Offs,4,r0 fclass.m p10,p0 = f8,0x1E7 // Test x for NaTVal, NaN, +/-0, +/-INF tbit.nz p11,p0 = GR_Sign_Exp,1}{ .mlx add GR_Addr_Mask2 = GR_Addr_Mask1,GR_Addr_Mask1 movl GR_14 = 0x402C000000000000};;.pred.rel "mutex",p14,p15{ .mfi setf.d FR_12 = GR_12(p14) fma.s1 FR_1m2X = f1,f1,FR_1m2X // RB=1-2|x| tbit.nz p8,p9 = GR_Sign_Exp,0}{ .mfi ldfpd FR_OvfBound,FR_Xmin = [GR_ad_Data],16(p15) fms.s1 FR_1m2X = f1,f1,FR_1m2X // RB=1-2|x|(p11) shladd GR_Tbl_Offs = GR_Tbl_Offs,2,r0};;.pred.rel "mutex",p9,p8{ .mfi setf.d FR_14 = GR_14 fma.s1 FR_4 = FR_2,FR_2,f0(p8) and GR_Tbl_Offs = GR_Tbl_Offs, GR_Addr_Mask1}{ .mfi setf.exp FR_05 = GR_ExpOf05 fma.s1 FR_6 = FR_2,FR_2,FR_2(p9) and GR_Tbl_Offs = GR_Tbl_Offs, GR_Addr_Mask2};;.pred.rel "mutex",p9,p8{ .mfi(p8) shladd GR_ad_Co = GR_Tbl_Offs,1,GR_ad_Data fcvt.xf FR_Xt = FR_iXt // [x](p15) tbit.z.unc p11,p0 = GR_Sign_Exp,0x10 // p11 if 0 < x < 2}{ .mfi(p9) add GR_ad_Co = GR_ad_Data,GR_Tbl_Offs fma.s1 FR_5 = FR_2,FR_2,f1(p15) cmp.lt.unc p7,p6 = GR_ExpOf05,GR_Sign_Exp // p7 if 0 < x < 1};;{ .mfi add GR_ad_Ce = 16,GR_ad_Co(p11) frcpa.s1 FR_Rcp0,p0 = f1,f8 sub GR_Tbl_Offs = GR_ad_Co,GR_ad_Data}{ .mfb ldfe FR_C01 = [GR_ad_Co],32(p7) fms.s1 FR_r02 = FR_r02,f1,f1 // jump if x is NaTVal, NaN, +/-0, +/-INF(p10) br.cond.spnt tgamma_spec};;.pred.rel "mutex",p14,p15{ .mfi ldfe FR_C11 = [GR_ad_Ce],32(p14) fms.s1 FR_X2pX = f8,f8,f8 // RA=x^2+|x| shr GR_Tbl_Ind = GR_Tbl_Offs,8}{ .mfb ldfe FR_C21 = [GR_ad_Co],32(p15) fma.s1 FR_X2pX = f8,f8,f8 // RA=x^2+x // jump if 0 < x < 2(p11) br.cond.spnt tgamma_from_0_to_2};;{ .mfi ldfe FR_C31 = [GR_ad_Ce],32 fma.s1 FR_Rq2 = FR_2,f1,FR_1m2X // 2 + B cmp.ltu p7,p0=0xB,GR_Tbl_Ind}{ .mfb ldfe FR_C41 = [GR_ad_Co],32 fma.s1 FR_Rq3 = FR_2,FR_2,FR_1m2X // 4 + B // jump if GR_Tbl_Ind > 11, i.e |x| is more than 192(p7) br.cond.spnt tgamma_spec_res};;{ .mfi ldfe FR_C51 = [GR_ad_Ce],32 fma.s1 FR_Rq4 = FR_6,f1,FR_1m2X // 6 + B shr GR_Tbl_Offs = GR_Tbl_Offs,1}{ .mfi ldfe FR_C61 = [GR_ad_Co],32 fma.s1 FR_Rq5 = FR_4,FR_2,FR_1m2X // 8 + B nop.i 0};;{ .mfi ldfe FR_C71 = [GR_ad_Ce],32(p14) fms.s1 FR_r = FR_Xt,f1,f8 // r = |x| - [|x|] shr GR_Tbl_16xInd = GR_Tbl_Offs,3}{ .mfi ldfe FR_C81 = [GR_ad_Co],32(p15) fms.s1 FR_r = f8,f1,FR_Xt // r = x - [x] add GR_ad_Data = 0xC00,GR_ad_Data};;{ .mfi ldfe FR_C91 = [GR_ad_Ce],32 fma.s1 FR_Rq6 = FR_5,FR_2,FR_1m2X // 10 + B(p14) mov GR_0x30033 = 0x30033}{ .mfi ldfe FR_CA1 = [GR_ad_Co],32 fma.s1 FR_Rq7 = FR_6,FR_2,FR_1m2X // 12 + B sub GR_Tbl_Offs = GR_Tbl_Offs,GR_Tbl_16xInd};;{ .mfi ldfe FR_C00 = [GR_ad_Ce],32 fma.s1 FR_Rq1 = FR_Rq1,FR_2,FR_X2pX // (x-1)*(x-2)(p13) cmp.eq.unc p8,p0 = r0,GR_Tbl_16xInd // index is 0 i.e. arg from [2;16)}{ .mfi ldfe FR_C10 = [GR_ad_Co],32(p14) fms.s1 FR_AbsX = f0,f0,FR_NormX // absolute value of argument add GR_ad_Co7 = GR_ad_Data,GR_Tbl_Offs};;{ .mfi ldfe FR_C20 = [GR_ad_Ce],32 fma.s1 FR_Rq2 = FR_Rq2,FR_4,FR_X2pX // (x-3)*(x-4) add GR_ad_Ce7 = 16,GR_ad_Co7}{ .mfi ldfe FR_C30 = [GR_ad_Co],32 fma.s1 FR_Rq3 = FR_Rq3,FR_6,FR_X2pX // (x-5)*(x-6) nop.i 0 };;{ .mfi ldfe FR_C40 = [GR_ad_Ce],32 fma.s1 FR_Rq4 = FR_Rq4,FR_8,FR_X2pX // (x-7)*(x-8)(p14) cmp.leu.unc p7,p0 = GR_0x30033,GR_Sign_Exp}{ .mfb ldfe FR_C50 = [GR_ad_Co7],32 fma.s1 FR_Rq5 = FR_Rq5,FR_10,FR_X2pX // (x-9)*(x-10) // jump if x is less or equal to -2^52, i.e. x is big negative integer(p7) br.cond.spnt tgamma_singularity};;{ .mfi ldfe FR_C60 = [GR_ad_Ce7],32 fma.s1 FR_C01 = FR_C01,f1,FR_r add GR_ad_Ce = 0x560,GR_ad_Data}{ .mfi ldfe FR_C70 = [GR_ad_Co7],32 fma.s1 FR_rs = f0,f0,FR_r // reduced arg for sin(pi*x) add GR_ad_Co = 0x550,GR_ad_Data};;{ .mfi ldfe FR_C80 = [GR_ad_Ce7],32 fma.s1 FR_C11 = FR_C11,f1,FR_r nop.i 0}{ .mfi ldfe FR_C90 = [GR_ad_Co7],32 fma.s1 FR_C21 = FR_C21,f1,FR_r nop.i 0};;.pred.rel "mutex",p12,p13{ .mfi(p13) getf.sig GR_iSig = FR_iXt⌨️ 快捷键说明
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