📄 e_powf.s
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data8 0x3fdd490246defa68, 0x3cabafe9a767a80d // log(1/frcpa(1+148/256))= +4.57581e-001data8 0x3fdd6efa918d25c8, 0x3cb58a2624e1c6fd // log(1/frcpa(1+149/256))= +4.59899e-001data8 0x3fdd9509707ae528, 0x3cbdc3babce578e7 // log(1/frcpa(1+150/256))= +4.62221e-001data8 0x3fddbb2efe92c550, 0x3cb0ac0943c434a4 // log(1/frcpa(1+151/256))= +4.64550e-001data8 0x3fddee2f3445e4a8, 0x3cbba9d07ce820e8 // log(1/frcpa(1+152/256))= +4.67663e-001data8 0x3fde148a1a2726c8, 0x3cb6537e3375b205 // log(1/frcpa(1+153/256))= +4.70004e-001data8 0x3fde3afc0a49ff38, 0x3cbfed5518dbc20e // log(1/frcpa(1+154/256))= +4.72350e-001data8 0x3fde6185206d5168, 0x3cb6572601f73d5c // log(1/frcpa(1+155/256))= +4.74702e-001data8 0x3fde882578823d50, 0x3c9b24abd4584d1a // log(1/frcpa(1+156/256))= +4.77060e-001data8 0x3fdeaedd2eac9908, 0x3cb0ceb5e4d2c8f7 // log(1/frcpa(1+157/256))= +4.79423e-001data8 0x3fded5ac5f436be0, 0x3ca72f21f1f5238e // log(1/frcpa(1+158/256))= +4.81792e-001data8 0x3fdefc9326d16ab8, 0x3c85081a1639a45c // log(1/frcpa(1+159/256))= +4.84166e-001data8 0x3fdf2391a21575f8, 0x3cbf11015bdd297a // log(1/frcpa(1+160/256))= +4.86546e-001data8 0x3fdf4aa7ee031928, 0x3cb3795bc052a2d1 // log(1/frcpa(1+161/256))= +4.88932e-001data8 0x3fdf71d627c30bb0, 0x3c35c61f0f5a88f3 // log(1/frcpa(1+162/256))= +4.91323e-001data8 0x3fdf991c6cb3b378, 0x3c97d99419be6028 // log(1/frcpa(1+163/256))= +4.93720e-001data8 0x3fdfc07ada69a908, 0x3cbfe9341ded70b1 // log(1/frcpa(1+164/256))= +4.96123e-001data8 0x3fdfe7f18eb03d38, 0x3cb85718a640c33f // log(1/frcpa(1+165/256))= +4.98532e-001data8 0x3fe007c053c5002c, 0x3cb3addc9c065f09 // log(1/frcpa(1+166/256))= +5.00946e-001data8 0x3fe01b942198a5a0, 0x3c9d5aa4c77da6ac // log(1/frcpa(1+167/256))= +5.03367e-001data8 0x3fe02f74400c64e8, 0x3cb5a0ee4450ef52 // log(1/frcpa(1+168/256))= +5.05793e-001data8 0x3fe04360be7603ac, 0x3c9dd00c35630fe0 // log(1/frcpa(1+169/256))= +5.08225e-001data8 0x3fe05759ac47fe30, 0x3cbd063e1f0bd82c // log(1/frcpa(1+170/256))= +5.10663e-001data8 0x3fe06b5f1911cf50, 0x3cae8da674af5289 // log(1/frcpa(1+171/256))= +5.13107e-001data8 0x3fe078bf0533c568, 0x3c62241edf5fd1f7 // log(1/frcpa(1+172/256))= +5.14740e-001data8 0x3fe08cd9687e7b0c, 0x3cb3007febcca227 // log(1/frcpa(1+173/256))= +5.17194e-001data8 0x3fe0a10074cf9018, 0x3ca496e84603816b // log(1/frcpa(1+174/256))= +5.19654e-001data8 0x3fe0b5343a234474, 0x3cb46098d14fc90a // log(1/frcpa(1+175/256))= +5.22120e-001data8 0x3fe0c974c89431cc, 0x3cac0a7cdcbb86c6 // log(1/frcpa(1+176/256))= +5.24592e-001data8 0x3fe0ddc2305b9884, 0x3cb2f753210410ff // log(1/frcpa(1+177/256))= +5.27070e-001data8 0x3fe0eb524bafc918, 0x3c88affd6682229e // log(1/frcpa(1+178/256))= +5.28726e-001data8 0x3fe0ffb54213a474, 0x3cadeefbab9af993 // log(1/frcpa(1+179/256))= +5.31214e-001data8 0x3fe114253da97d9c, 0x3cbaf1c2b8bc160a // log(1/frcpa(1+180/256))= +5.33709e-001data8 0x3fe128a24f1d9afc, 0x3cb9cf4df375e650 // log(1/frcpa(1+181/256))= +5.36210e-001data8 0x3fe1365252bf0864, 0x3c985a621d4be111 // log(1/frcpa(1+182/256))= +5.37881e-001data8 0x3fe14ae558b4a92c, 0x3ca104c4aa8977d1 // log(1/frcpa(1+183/256))= +5.40393e-001data8 0x3fe15f85a19c7658, 0x3cbadf26e540f375 // log(1/frcpa(1+184/256))= +5.42910e-001data8 0x3fe16d4d38c119f8, 0x3cb3aea11caec416 // log(1/frcpa(1+185/256))= +5.44592e-001data8 0x3fe18203c20dd130, 0x3cba82d1211d1d6d // log(1/frcpa(1+186/256))= +5.47121e-001data8 0x3fe196c7bc4b1f38, 0x3cb6267acc4f4f4a // log(1/frcpa(1+187/256))= +5.49656e-001data8 0x3fe1a4a738b7a33c, 0x3c858930213c987d // log(1/frcpa(1+188/256))= +5.51349e-001data8 0x3fe1b981c0c9653c, 0x3c9bc2a4a30f697b // log(1/frcpa(1+189/256))= +5.53895e-001data8 0x3fe1ce69e8bb1068, 0x3cb7ae6199cf2a00 // log(1/frcpa(1+190/256))= +5.56447e-001data8 0x3fe1dc619de06944, 0x3c6b50bb38388177 // log(1/frcpa(1+191/256))= +5.58152e-001data8 0x3fe1f160a2ad0da0, 0x3cbd05b2778a5e1d // log(1/frcpa(1+192/256))= +5.60715e-001data8 0x3fe2066d7740737c, 0x3cb32e828f9c6bd6 // log(1/frcpa(1+193/256))= +5.63285e-001data8 0x3fe2147dba47a390, 0x3cbd579851b8b672 // log(1/frcpa(1+194/256))= +5.65001e-001data8 0x3fe229a1bc5ebac0, 0x3cbb321be5237ce8 // log(1/frcpa(1+195/256))= +5.67582e-001data8 0x3fe237c1841a502c, 0x3cb3b56e0915ea64 // log(1/frcpa(1+196/256))= +5.69306e-001data8 0x3fe24cfce6f80d98, 0x3cb34a4d1a422919 // log(1/frcpa(1+197/256))= +5.71898e-001data8 0x3fe25b2c55cd5760, 0x3cb237401ea5015e // log(1/frcpa(1+198/256))= +5.73630e-001data8 0x3fe2707f4d5f7c40, 0x3c9d30f20acc8341 // log(1/frcpa(1+199/256))= +5.76233e-001data8 0x3fe285e0842ca380, 0x3cbc4d866d5f21c0 // log(1/frcpa(1+200/256))= +5.78842e-001data8 0x3fe294294708b770, 0x3cb85e14d5dc54fa // log(1/frcpa(1+201/256))= +5.80586e-001data8 0x3fe2a9a2670aff0c, 0x3c7e6f8f468bbf91 // log(1/frcpa(1+202/256))= +5.83207e-001data8 0x3fe2b7fb2c8d1cc0, 0x3c930ffcf63c8b65 // log(1/frcpa(1+203/256))= +5.84959e-001data8 0x3fe2c65a6395f5f4, 0x3ca0afe20b53d2d2 // log(1/frcpa(1+204/256))= +5.86713e-001data8 0x3fe2dbf557b0df40, 0x3cb646be1188fbc9 // log(1/frcpa(1+205/256))= +5.89350e-001data8 0x3fe2ea64c3f97654, 0x3c96516fa8df33b2 // log(1/frcpa(1+206/256))= +5.91113e-001data8 0x3fe3001823684d70, 0x3cb96d64e16d1360 // log(1/frcpa(1+207/256))= +5.93762e-001data8 0x3fe30e97e9a8b5cc, 0x3c98ef96bc97cca0 // log(1/frcpa(1+208/256))= +5.95531e-001data8 0x3fe32463ebdd34e8, 0x3caef1dc9a56c1bf // log(1/frcpa(1+209/256))= +5.98192e-001data8 0x3fe332f4314ad794, 0x3caa4f0ac5d5fa11 // log(1/frcpa(1+210/256))= +5.99970e-001data8 0x3fe348d90e7464cc, 0x3cbe7889f0516acd // log(1/frcpa(1+211/256))= +6.02643e-001data8 0x3fe35779f8c43d6c, 0x3ca96bbab7245411 // log(1/frcpa(1+212/256))= +6.04428e-001data8 0x3fe36621961a6a98, 0x3ca31f32262db9fb // log(1/frcpa(1+213/256))= +6.06217e-001data8 0x3fe37c299f3c3668, 0x3cb15c72c107ee29 // log(1/frcpa(1+214/256))= +6.08907e-001data8 0x3fe38ae2171976e4, 0x3cba42a2554b2dd4 // log(1/frcpa(1+215/256))= +6.10704e-001data8 0x3fe399a157a603e4, 0x3cb99c62286d8919 // log(1/frcpa(1+216/256))= +6.12504e-001data8 0x3fe3afccfe77b9d0, 0x3ca11048f96a43bd // log(1/frcpa(1+217/256))= +6.15210e-001data8 0x3fe3be9d503533b4, 0x3ca4022f47588c3e // log(1/frcpa(1+218/256))= +6.17018e-001data8 0x3fe3cd7480b4a8a0, 0x3cb4ba7afc2dc56a // log(1/frcpa(1+219/256))= +6.18830e-001data8 0x3fe3e3c43918f76c, 0x3c859673d064b8ba // log(1/frcpa(1+220/256))= +6.21554e-001data8 0x3fe3f2acb27ed6c4, 0x3cb55c6b452a16a8 // log(1/frcpa(1+221/256))= +6.23373e-001data8 0x3fe4019c2125ca90, 0x3cb8c367879c5a31 // log(1/frcpa(1+222/256))= +6.25197e-001data8 0x3fe4181061389720, 0x3cb2c17a79c5cc6c // log(1/frcpa(1+223/256))= +6.27937e-001data8 0x3fe42711518df544, 0x3ca5f38d47012fc5 // log(1/frcpa(1+224/256))= +6.29769e-001data8 0x3fe436194e12b6bc, 0x3cb9854d65a9b426 // log(1/frcpa(1+225/256))= +6.31604e-001data8 0x3fe445285d68ea68, 0x3ca3ff9b3a81cd81 // log(1/frcpa(1+226/256))= +6.33442e-001data8 0x3fe45bcc464c8938, 0x3cb0a2d8011a6c05 // log(1/frcpa(1+227/256))= +6.36206e-001data8 0x3fe46aed21f117fc, 0x3c8a2be41f8e9f3d // log(1/frcpa(1+228/256))= +6.38053e-001data8 0x3fe47a1527e8a2d0, 0x3cba4a83594fab09 // log(1/frcpa(1+229/256))= +6.39903e-001data8 0x3fe489445efffcc8, 0x3cbf306a23dcbcde // log(1/frcpa(1+230/256))= +6.41756e-001data8 0x3fe4a018bcb69834, 0x3ca46c9285029fd1 // log(1/frcpa(1+231/256))= +6.44543e-001data8 0x3fe4af5a0c9d65d4, 0x3cbbc1db897580e3 // log(1/frcpa(1+232/256))= +6.46405e-001data8 0x3fe4bea2a5bdbe84, 0x3cb84d880d7ef775 // log(1/frcpa(1+233/256))= +6.48271e-001data8 0x3fe4cdf28f10ac44, 0x3cb3ec4b7893ce1f // log(1/frcpa(1+234/256))= +6.50140e-001data8 0x3fe4dd49cf994058, 0x3c897224d59d3408 // log(1/frcpa(1+235/256))= +6.52013e-001data8 0x3fe4eca86e64a680, 0x3cbccf620f24f0cd // log(1/frcpa(1+236/256))= +6.53889e-001data8 0x3fe503c43cd8eb68, 0x3c3f872c65971084 // log(1/frcpa(1+237/256))= +6.56710e-001data8 0x3fe513356667fc54, 0x3cb9ca64cc3d52c8 // log(1/frcpa(1+238/256))= +6.58595e-001data8 0x3fe522ae0738a3d4, 0x3cbe708164c75968 // log(1/frcpa(1+239/256))= +6.60483e-001data8 0x3fe5322e26867854, 0x3cb9988ba4aea615 // log(1/frcpa(1+240/256))= +6.62376e-001data8 0x3fe541b5cb979808, 0x3ca1662e3a6b95f5 // log(1/frcpa(1+241/256))= +6.64271e-001data8 0x3fe55144fdbcbd60, 0x3cb3acd4ca45c1e0 // log(1/frcpa(1+242/256))= +6.66171e-001data8 0x3fe560dbc45153c4, 0x3cb4988947959fed // log(1/frcpa(1+243/256))= +6.68074e-001data8 0x3fe5707a26bb8c64, 0x3cb3017fe6607ba9 // log(1/frcpa(1+244/256))= +6.69980e-001data8 0x3fe587f60ed5b8fc, 0x3cbe7a3266366ed4 // log(1/frcpa(1+245/256))= +6.72847e-001data8 0x3fe597a7977c8f30, 0x3ca1e12b9959a90e // log(1/frcpa(1+246/256))= +6.74763e-001data8 0x3fe5a760d634bb88, 0x3cb7c365e53d9602 // log(1/frcpa(1+247/256))= +6.76682e-001data8 0x3fe5b721d295f10c, 0x3cb716c2551ccbf0 // log(1/frcpa(1+248/256))= +6.78605e-001data8 0x3fe5c6ea94431ef8, 0x3ca02b2ed0e28261 // log(1/frcpa(1+249/256))= +6.80532e-001data8 0x3fe5d6bb22ea86f4, 0x3caf43a8bbb2f974 // log(1/frcpa(1+250/256))= +6.82462e-001data8 0x3fe5e6938645d38c, 0x3cbcedc98821b333 // log(1/frcpa(1+251/256))= +6.84397e-001data8 0x3fe5f673c61a2ed0, 0x3caa385eef5f2789 // log(1/frcpa(1+252/256))= +6.86335e-001data8 0x3fe6065bea385924, 0x3cb11624f165c5b4 // log(1/frcpa(1+253/256))= +6.88276e-001data8 0x3fe6164bfa7cc068, 0x3cbad884f87073fa // log(1/frcpa(1+254/256))= +6.90222e-001data8 0x3fe62643fecf9740, 0x3cb78c51da12f4df // log(1/frcpa(1+255/256))= +6.92171e-001ASM_SIZE_DIRECTIVE(pow_Tt)// Table 1 is 2^(index_1/128) where// index_1 goes from 0 to 15pow_tbl1:ASM_TYPE_DIRECTIVE(pow_tbl1,@object)data8 0x8000000000000000 , 0x00003FFFdata8 0x80B1ED4FD999AB6C , 0x00003FFFdata8 0x8164D1F3BC030773 , 0x00003FFFdata8 0x8218AF4373FC25EC , 0x00003FFFdata8 0x82CD8698AC2BA1D7 , 0x00003FFFdata8 0x8383594EEFB6EE37 , 0x00003FFFdata8 0x843A28C3ACDE4046 , 0x00003FFFdata8 0x84F1F656379C1A29 , 0x00003FFFdata8 0x85AAC367CC487B15 , 0x00003FFFdata8 0x8664915B923FBA04 , 0x00003FFFdata8 0x871F61969E8D1010 , 0x00003FFFdata8 0x87DB357FF698D792 , 0x00003FFFdata8 0x88980E8092DA8527 , 0x00003FFFdata8 0x8955EE03618E5FDD , 0x00003FFFdata8 0x8A14D575496EFD9A , 0x00003FFFdata8 0x8AD4C6452C728924 , 0x00003FFFASM_SIZE_DIRECTIVE(pow_tbl1)// Table 2 is 2^(index_1/8) where// index_2 goes from 0 to 7pow_tbl2:ASM_TYPE_DIRECTIVE(pow_tbl2,@object)data8 0x8000000000000000 , 0x00003FFFdata8 0x8B95C1E3EA8BD6E7 , 0x00003FFFdata8 0x9837F0518DB8A96F , 0x00003FFFdata8 0xA5FED6A9B15138EA , 0x00003FFFdata8 0xB504F333F9DE6484 , 0x00003FFFdata8 0xC5672A115506DADD , 0x00003FFFdata8 0xD744FCCAD69D6AF4 , 0x00003FFFdata8 0xEAC0C6E7DD24392F , 0x00003FFFASM_SIZE_DIRECTIVE(pow_tbl2).global powf.section .text.proc powf.align 32powf:{ .mfi alloc r32=ar.pfs,1,35,4,0 fms.s1 POW_Xm1 = f8,f1,f1 // Will be used for r1 if x>0 mov pow_GR_17ones = 0x1FFFF}{ .mfi(p0) addl pow_AD_P = @ltoff(pow_table_P), gp fma.s1 POW_Xp1 = f8,f1,f1 // Will be used for r1 if x<0 nop.i 999;;}// Get exponent of x. Will be used to calculate K.{ .mfi getf.exp pow_GR_signexp_X = f8 frcpa.s1 POW_B, p6 = f1,f8 nop.i 999}{ .mfi ld8 pow_AD_P = [pow_AD_P] fma.s1 POW_NORM_X = f8,f1,f0 mov pow_GR_FFF7 = 0xFFF7};;// Get significand of x. Will be used to get index to fetch T, Tt.// p13 = TRUE ==> X is unorm// DOUBLE 0x10033 exponent limit at which y is an integer// SINGLE 0x10016{ .mfi getf.sig pow_GR_sig_X = f8 fclass.m p13,p0 = f8, 0x0b // Test for x unorm addl pow_GR_10033 = 0x10033, r0}{ .mfi mov pow_GR_16ones = 0xFFFF fma.s1 POW_NORM_Y = f9,f1,f0 nop.i 999};;// p14 = TRUE ==> X is ZERO{ .mfi adds pow_AD_Tt = pow_Tt - pow_table_P, pow_AD_P fclass.m p14,p15 = f8, 0x07 and pow_GR_exp_X = pow_GR_signexp_X, pow_GR_17ones}{ .mfi adds pow_AD_Q = pow_table_Q - pow_table_P, pow_AD_P nop.f 999 nop.i 999};;{ .mfi ldfe POW_P5 = [pow_AD_P], 16 fcmp.lt.s1 p8,p9 = f8, f0 // Test for x<0 shl pow_GR_offset = pow_GR_sig_X, 1}{ .mib ldfe POW_P4 = [pow_AD_Q], 16 sub pow_GR_true_exp_X = pow_GR_exp_X, pow_GR_16ones(p13) br.cond.spnt L(POW_X_DENORM)};;// Continue normal and denormal paths hereL(POW_COMMON):// p11 = TRUE ==> Y is a NAN{ .mfi ldfe POW_P3 = [pow_AD_P], 16 fclass.m.unc p11,p0 = f9, 0xc3 shr.u pow_GR_offset = pow_GR_offset,56}{ .mfi ldfe POW_P2 = [pow_AD_Q], 16 nop.f 999 nop.i 999};;// Compute xsq to decide later if |x|=1// p11 = TRUE ==> Y is a NaN{ .mfi setf.sig POW_int_K = pow_GR_true_exp_X(p15) fms.s1 POW_r = POW_B, POW_NORM_X,f1 shladd pow_AD_Tt = pow_GR_offset, 4, pow_AD_Tt}{ .mfi nop.m 999(p8) fnma.s1 POW_Xm1 = POW_Xp1,f1,f0 nop.i 999};;// p12 = TRUE ==> X is ZERO and Y is ZERO{ .mfi ldfe POW_P1 = [pow_AD_P], 16(p14) fclass.m.unc p12,p0 = f9, 0x07 nop.i 999}{ .mfb ldfe POW_P0 = [pow_AD_Q], 16 fma.s1 POW_xsq = POW_NORM_X, POW_NORM_X, f0(p11) br.cond.spnt L(POW_Y_NAN)};;.pred.rel "mutex",p8,p9// Get exponent of |x|-1 to use in comparison to 2^-8{ .mmf(p8) getf.exp pow_GR_signexp_Xm1 = POW_Xp1(p9) getf.exp pow_GR_signexp_Xm1 = POW_Xm1 fcvt.fx.s1 POW_int_Y = POW_NORM_Y};;// p11 = TRUE ==> X is a NAN{ .mfi ldfpd POW_log2_hi, POW_log2_lo = [pow_AD_Q], 16 fclass.m.unc p11,p0 = f8, 0xc3 nop.i 999}{ .mib ldfpd POW_T, POW_Tt = [pow_AD_Tt], 16 nop.i 999(p12) br.cond.spnt L(POW_X_0_Y_0)};;// p14 = TRUE ==> X is zero// p15 = TRUE ==> X is zero AND Y is negative// p10 = TRUE ==> X is zero AND Y is >= zero { .mfi ldfe POW_inv_log2_by_128 = [pow_AD_P], 16(p14) fcmp.lt.unc.s1 p15, p10 = f9,f0 nop.i 999}{ .mfi nop.m 999 nop.f 999 and pow_GR_exp_Xm1 = pow_GR_signexp_Xm1, pow_GR_17ones} ;;// Determine if we will use the |x| near 1 path (p6) or normal path (p7)// p12 = TRUE ==> X is a NAN and Y is a zero// p13 = TRUE ==> X is a NAN and Y is anything else{ .mfi getf.exp pow_GR_signexp_Y = POW_NORM_Y (p11) fclass.m.unc p12,p13 = f9, 0x07 cmp.lt.unc p6,p7 = pow_GR_exp_Xm1, pow_GR_FFF7}{ .mfi ldfpd POW_Q2, POW_Q3 = [pow_AD_P], 16 fma.s1 POW_rsq = POW_r, POW_r,f0 nop.i 999;;}// If on the x near 1 path, assign r1 to r and r1*r1 to rsq{ .mfi ldfpd POW_Q0_half, POW_Q1 = [pow_AD_P], 16(p6) fma.s1 POW_r = POW_r1, f1, f0 nop.i 999}{ .mfi nop.m 999(p6) fma.s1 POW_rsq = POW_r1, POW_r1, f0 nop.i 999;;}{ .mfi ldfpd POW_Q4, POW_RSHF = [pow_AD_P], 16(p7) fma.s1 POW_v6 = POW_r, POW_P5, POW_P4 and pow_GR_exp_Y = pow_GR_signexp_Y, pow_GR_17ones}{ .mfb nop.m 999(p6) fma.s1 POW_v6 = POW_r1, POW_P5, POW_P4(p12) br.cond.spnt L(POW_X_NAN_Y_0)};;{ .mfi nop.m 999(p7) fma.s1 POW_v4 = POW_P3, POW_r, POW_P2 andcm pow_GR_sign_Y = pow_GR_signexp_Y, pow_GR_17ones}{ .mfb nop.m 999(p6) fma.s1 POW_v4 = POW_P3, POW_r1, POW_P2 (p12) br.cond.spnt L(POW_X_NAN_Y_0)};;{ .mfi nop.m 999 fcvt.xf POW_K = POW_int_K nop.i 999
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