📄 e_powl.s
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data4 0x00007D12,0x3F7A2328,0x3CBDC97A,0x00000000data4 0x3A9E81E0,0xFABC8B95,0x00003FDF,0x00000000data4 0x00007C98,0x3F792FB0,0x3CDCFE47,0x00000000data4 0x7C4B5443,0xF5F3653F,0x00003FDF,0x00000000data4 0x00007C20,0x3F783E08,0x3CFC15D0,0x00000000data4 0xF65A1773,0xE78AB204,0x00003FE0,0x00000000data4 0x00007BA8,0x3F774E38,0x3D0D874D,0x00000000data4 0x7B8EF695,0xDB7CBFFF,0x0000BFE0,0x00000000data4 0x00007B31,0x3F766038,0x3D1CF49B,0x00000000data4 0xCF773FB3,0xC0241AEA,0x0000BFE0,0x00000000data4 0x00007ABB,0x3F757400,0x3D2C531D,0x00000000data4 0xC9539FDF,0xFC8F4D48,0x00003FE1,0x00000000data4 0x00007A45,0x3F748988,0x3D3BA322,0x00000000data4 0x954665C2,0x9CD035FB,0x0000BFE1,0x00000000data4 0x000079D1,0x3F73A0D0,0x3D4AE46F,0x00000000data4 0xDD367A30,0xEC9017C7,0x00003FE1,0x00000000data4 0x0000795D,0x3F72B9D0,0x3D5A1756,0x00000000data4 0xCB11189C,0xEE6625D3,0x0000BFE1,0x00000000data4 0x000078EB,0x3F71D488,0x3D693B9D,0x00000000data4 0xBE11C424,0xA49C8DB5,0x0000BFE0,0x00000000LOCAL_OBJECT_END(Constants_log_80_Z_G_H_h2)LOCAL_OBJECT_START(Constants_log_80_h3_G_H)// h3 IEEE double extended, H3 and G3 IEEE singledata4 0x112666B0,0xAAACAAB1,0x00003FD3,0x3F7FFC00data4 0x9B7FAD21,0x90051030,0x00003FD8,0x3F7FF400data4 0xF4D783C4,0xA6B46F46,0x00003FDA,0x3F7FEC00data4 0x11C6DDCA,0xDA148D88,0x0000BFD8,0x3F7FE400data4 0xCA964D95,0xCE65C1D8,0x0000BFD8,0x3F7FDC00data4 0x23412D13,0x883838EE,0x0000BFDB,0x3F7FD400data4 0x983ED687,0xB7E5CFA1,0x00003FDB,0x3F7FCC08data4 0xE3C3930B,0xDBE23B16,0x0000BFD9,0x3F7FC408data4 0x48AA4DFC,0x9B92F1FC,0x0000BFDC,0x3F7FBC10data4 0xCE9C8F7E,0x9A8CEB15,0x0000BFD9,0x3F7FB410data4 0x0DECE74A,0x8C220879,0x00003FDC,0x3F7FAC18data4 0x2F053150,0xB25CA912,0x0000BFDA,0x3F7FA420data4 0xD9A5BE20,0xA5876555,0x00003FDB,0x3F7F9C20data4 0x2053F087,0xC919BB6E,0x00003FD9,0x3F7F9428data4 0x041E9A77,0xB70BDA79,0x00003FDC,0x3F7F8C30data4 0xEA1C9C30,0xF18A5C08,0x00003FDA,0x3F7F8438data4 0x796D89E5,0xA3790D84,0x0000BFDD,0x3F7F7C40data4 0xA2915A3A,0xE1852369,0x0000BFDD,0x3F7F7448data4 0xA39ED868,0xD803858F,0x00003FDC,0x3F7F6C50data4 0x9417EBB7,0xB2EEE356,0x0000BFDD,0x3F7F6458data4 0x9BB0D07F,0xED5C1F8A,0x0000BFDC,0x3F7F5C68data4 0xE87C740A,0xD6D201A0,0x0000BFDD,0x3F7F5470data4 0x1CA74025,0xE8DEBF5E,0x00003FDC,0x3F7F4C78data4 0x1F34A7EB,0x9A995A97,0x0000BFDC,0x3F7F4488data4 0x359EED97,0x9CB0F742,0x0000BFDA,0x3F7F3C90data4 0xBBC6A1C8,0xD6F833C2,0x0000BFDD,0x3F7F34A0data4 0xE71090EC,0xE1F68F2A,0x00003FDC,0x3F7F2CA8data4 0xC160A74F,0xD1881CF1,0x0000BFDB,0x3F7F24B8data4 0xD78CB5A4,0x9AD05AE2,0x00003FD6,0x3F7F1CC8data4 0x9A77DC4B,0xE658CB8E,0x0000BFDD,0x3F7F14D8data4 0x6BD6D312,0xBA281296,0x00003FDC,0x3F7F0CE0data4 0xF95210D0,0xB478BBEB,0x0000BFDB,0x3F7F04F0data4 0x38800100,0x39400480,0x39A00640,0x39E00C41 // H's start heredata4 0x3A100A21,0x3A300F22,0x3A4FF51C,0x3A6FFC1Ddata4 0x3A87F20B,0x3A97F68B,0x3AA7EB86,0x3AB7E101data4 0x3AC7E701,0x3AD7DD7B,0x3AE7D474,0x3AF7CBEDdata4 0x3B03E1F3,0x3B0BDE2F,0x3B13DAAA,0x3B1BD766data4 0x3B23CC5C,0x3B2BC997,0x3B33C711,0x3B3BBCC6data4 0x3B43BAC0,0x3B4BB0F4,0x3B53AF6D,0x3B5BA620data4 0x3B639D12,0x3B6B9444,0x3B7393BC,0x3B7B8B6DLOCAL_OBJECT_END(Constants_log_80_h3_G_H)GR_sig_inv_ln2 = r14GR_rshf_2to51 = r15GR_exp_2tom51 = r16GR_rshf = r17GR_exp_half = r18GR_sign_mask = r19GR_exp_square_oflow = r20GR_exp_square_uflow = r21GR_exp_ynear1_oflow = r22GR_exp_ynear1_uflow = r23GR_signif_Z = r24GR_signexp_x = r32GR_exp_x = r33GR_Table_Ptr = r34GR_Table_Ptr1 = r35GR_Index1 = r36GR_Index2 = r37GR_Expo_X = r37GR_M = r38GR_X_0 = r39GR_Mask = r39GR_X_1 = r40GR_W1_ptr = r40GR_W2_ptr = r41GR_X_2 = r41GR_Z_1 = r42GR_M2 = r42GR_M1 = r43GR_Z_2 = r43GR_N = r44GR_k = r44GR_Big_Pos_Exp = r45GR_exp_pos_max = r46GR_exp_bias_p_k = r47GR_Index3 = r48GR_temp = r48GR_vsm_expo = r49GR_T1_ptr = r50GR_P_ptr1 = r50GR_T2_ptr = r51GR_P_ptr2 = r51GR_N_fix = r52GR_exp_y = r53GR_signif_y = r54GR_signexp_y = r55GR_fraction_y = r55GR_low_order_bit = r56GR_exp_mask = r57GR_exp_bias = r58GR_y_sign = r59GR_table_base = r60GR_ptr_exp_Arg = r61GR_Delta_Exp = r62GR_Special_Exp = r63GR_exp_neg_max = r64GR_Big_Neg_Exp = r65//** Registers for unwind supportGR_SAVE_PFS = r59GR_SAVE_B0 = r60GR_SAVE_GP = r61GR_Parameter_X = r62GR_Parameter_Y = r63GR_Parameter_RESULT = r64GR_Parameter_TAG = r65//**FR_Input_X = f8FR_Result = f8FR_Input_Y = f9FR_Neg = f10FR_P_hi = f10FR_X = f10FR_Half = f11FR_h_3 = f11FR_poly_hi = f11FR_Sgn = f12FR_half_W = f13FR_X_cor = f14FR_P_lo = f14FR_W = f15FR_X_lo = f32FR_S = f33FR_W3 = f33FR_Y_hi = f34FR_logx_hi = f34FR_Z = f35FR_logx_lo = f35FR_GS_hi = f35FR_Y_lo = f35FR_r_cor = f36FR_Scale = f36FR_G_1 = f37FR_G = f37FR_Wsq = f37FR_temp = f37FR_H_1 = f38FR_H = f38FR_W4 = f38FR_h = f39FR_h_1 = f39FR_N = f39FR_P_7 = f39FR_G_2 = f40FR_P_8 = f40FR_L_hi = f40FR_H_2 = f41FR_L_lo = f41FR_A_1 = f41FR_h_2 = f42FR_W1 = f43FR_G_3 = f44FR_P_8 = f44FR_T1 = f44FR_log2_hi = f45FR_W2 = f45FR_GS_lo = f46FR_T2 = f46FR_W_1_p1 = f47FR_H_3 = f47FR_float_N = f48FR_A_2 = f49FR_Q_4 = f50FR_r4 = f50FR_Q_3 = f51FR_A_3 = f51FR_Q_2 = f52FR_P_2 = f52FR_Q_1 = f53FR_P_1 = f53FR_T = f53FR_Wp1 = f54FR_Q_5 = f54FR_P_3 = f54FR_Q_6 = f55FR_log2_lo = f56FR_Two = f56FR_Big = f57FR_neg_2_mK = f58FR_r = f59FR_poly_lo = f60FR_poly = f61FR_P_5 = f62FR_Result_small = f62FR_rsq = f63FR_Delta = f64FR_save_Input_X = f65FR_norm_X = f66FR_norm_Y = f67FR_Y_lo_2 = f68FR_P_6 = f69FR_Result_big = f69FR_RSHF_2TO51 = f70FR_INV_LN2_2TO63 = f71FR_2TOM51 = f72FR_RSHF = f73FR_TMP1 = f74FR_TMP2 = f75FR_TMP3 = f76FR_Tscale = f77FR_P_4 = f78FR_NBig = f79.section .textGLOBAL_LIBM_ENTRY(powl)//// Get significand of x. It is the critical path.//{ .mfi getf.sig GR_signif_Z = FR_Input_X // Get significand of x fclass.m p11, p12 = FR_Input_X, 0x0b // Test x unorm nop.i 999}{ .mfi nop.m 999 fnorm.s1 FR_norm_X = FR_Input_X // Normalize x mov GR_exp_half = 0xffff - 1 // Exponent for 0.5};;{ .mfi alloc r32 = ar.pfs,0,30,4,0 fclass.m p7, p0 = FR_Input_Y, 0x1E7 // Test y natval, nan, inf, zero mov GR_exp_pos_max = 0x13fff // Max exponent for pos oflow test}{ .mfi addl GR_table_base = @ltoff(Constants_exp_64_Arg#), gp // Ptr to tables fnorm.s1 FR_norm_Y = FR_Input_Y // Normalize y mov GR_exp_neg_max = 0x33fff // Max exponent for neg oflow test};;{ .mfi getf.exp GR_signexp_y = FR_Input_Y // Get sign and exp of y(p12) fclass.m p11, p0 = FR_Input_Y, 0x0b // Test y unorm mov GR_sign_mask = 0x20000 // Sign mask}{ .mfi ld8 GR_table_base = [GR_table_base] // Get base address for tables fadd.s1 FR_Two = f1, f1 // Form 2.0 for square test mov GR_exp_mask = 0x1FFFF // Exponent mask};;{ .mfi getf.sig GR_signif_y = FR_Input_Y // Get significand of y fclass.m p6, p0 = FR_Input_X, 0x1E7 // Test x natval, nan, inf, zero nop.i 999};;{ .mfi getf.exp GR_signexp_x = FR_Input_X // Get signexp of x fmerge.s FR_save_Input_X = FR_Input_X, FR_Input_X extr.u GR_Index1 = GR_signif_Z, 59, 4 // Extract upper 4 signif bits of x}{ .mfb setf.exp FR_Half = GR_exp_half // Load half nop.f 999(p11) br.cond.spnt POWL_DENORM // Branch if x or y denorm/unorm};;// Return here from POWL_DENORMPOWL_COMMON:{ .mfi setf.exp FR_Big = GR_exp_pos_max // Form big pos value for oflow test fclass.nm p11, p0 = FR_Input_Y, 0x1FF // Test Y unsupported shl GR_Index1 = GR_Index1,5 // Adjust index1 pointer x 32}{ .mfi add GR_Table_Ptr = 0x7c0, GR_table_base // Constants_log_80_Z_G_H_h1 fma.s1 FR_Sgn = f1,f1,f0 // Assume result positive mov GR_exp_bias = 0xFFFF // Form exponent bias};;//// Identify NatVals, NaNs, Infs, and Zeros.////// Remove sign bit from exponent of y.// Check for x = 1// Branch on Infs, Nans, Zeros, and Natvals// Check to see that exponent < 0//{ .mfi setf.exp FR_NBig = GR_exp_neg_max // Form big neg value for oflow test fclass.nm p8, p0 = FR_Input_X, 0x1FF // Test X unsupported and GR_exp_y = GR_exp_mask,GR_signexp_y // Get biased exponent of y}{ .mfb add GR_Index1 = GR_Index1,GR_Table_Ptr nop.f 999(p6) br.cond.spnt POWL_64_SPECIAL // Branch if x natval, nan, inf, zero};;// load Z_1 from Index1// There is logic starting here to determine if y is an integer when x < 0.// If 0 < |y| < 1 then clearly y is not an integer.// If |y| > 1, then the significand of y is shifted left by the size of// the exponent of y. This preserves the lsb of the integer part + the// fractional bits. The lsb of the integer can be tested to determine if// the integer is even or odd. The fractional bits can be tested. If zero,// then y is an integer.//{ .mfi ld2 GR_Z_1 =[GR_Index1],4 // Load Z_1 fmerge.s FR_Z = f0, FR_norm_X // Z = |x| extr.u GR_X_0 = GR_signif_Z, 49, 15 // Extract X_0 from significand}{ .mfb cmp.lt p9, p0 = GR_exp_y,GR_exp_bias // Test 0 < |y| < 1 nop.f 999(p7) br.cond.spnt POWL_64_SPECIAL // Branch if y natval, nan, inf, zero};;{ .mfb ldfs FR_G_1 = [GR_Index1],4 // Load G_1 fcmp.eq.s1 p10, p0 = FR_Input_Y, f1 // Test Y = +1.0(p8) br.cond.spnt POWL_64_UNSUPPORT // Branch if x unsupported};;//// X_0 = High order 15 bit of Z//{ .mfb ldfs FR_H_1 = [GR_Index1],8 // Load H_1(p9) fcmp.lt.unc.s1 p9, p0 = FR_Input_X, f0 // Test x<0, 0 <|y|<1(p11) br.cond.spnt POWL_64_UNSUPPORT // Branch if y unsupported};;{ .mfi ldfe FR_h_1 = [GR_Index1] // Load h_1 fcmp.eq.s1 p7, p0 = FR_Input_Y, FR_Two // Test y = 2.0 pmpyshr2.u GR_X_1 = GR_X_0,GR_Z_1,15 // X_1 = X_0 * Z_1 (bits 15-30) // Wait 4 cycles to use result}{ .mfi add GR_Table_Ptr = 0x9c0, GR_table_base // Constants_log_80_Z_G_H_h2 nop.f 999 sub GR_exp_y = GR_exp_y,GR_exp_bias // Get true exponent of y};;//// Branch for (x < 0) and Y not an integer.//{ .mfb nop.m 999 fcmp.lt.s1 p6, p0 = FR_Input_X, f0 // Test x < 0(p9) br.cond.spnt POWL_64_XNEG // Branch if x < 0, 0 < |y| < 1};;{ .mfi nop.m 999 fcmp.eq.s1 p12, p0 = FR_Input_X, f1 // Test x=+1.0 nop.i 999}{ .mfb nop.m 999 fsub.s1 FR_W = FR_Z, f1 // W = Z - 1(p7) br.cond.spnt POWL_64_SQUARE // Branch if y=2};;{ .mfi nop.m 999(p10) fmpy.s0 FR_Result = FR_Input_X, f1 // If y=+1.0, result=x(p6) shl GR_fraction_y= GR_signif_y,GR_exp_y // Get lsb of int + fraction // Wait 4 cycles to use result};;{ .mfi nop.m 999(p12) fma.s0 FR_Result = FR_Input_Y, f0, f1 // If x=1.0, result=1, chk denorm extr.u GR_Index2 = GR_X_1, 6, 4 // Extract index2};;//// N = exponent of Z//{ .mib getf.exp GR_N = FR_Z // Get exponent of Z (also x) shl GR_Index2=GR_Index2,5 // Index2 x 32 bytes(p10) br.ret.spnt b0 // Exit if y=+1.0};;{ .mib add GR_Index2 = GR_Index2, GR_Table_Ptr // Pointer to table 2 nop.i 999(p12) br.ret.spnt b0 // Exit if x=+1.0};;{ .mmi ld2 GR_Z_2 =[GR_Index2],4 // Load Z_2;; ldfs FR_G_2 = [GR_Index2],4 // Load G_2 nop.i 999};;{ .mii⌨️ 快捷键说明
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