📄 e_powl.s
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nop.i 999 ;;}{ .mfi(p0) and GR_Expo_X = GR_Expo_X, GR_Mask //// Calculate unBIASed exponent of X// Point to Table of W1s// Point to Table of W2s//(p0) fcvt.fx.s1 FR_N = FR_float_N nop.i 999 ;;}{ .mfi nop.m 999(p0) fadd.s1 FR_P_lo = FR_P_lo, FR_X_lo //// Float_N = X * L_Inv// Create exponent BIAS// Get BIASed exponent of X//(p0) sub GR_Expo_X = GR_Expo_X, GR_BIAS ;; }{ .mib(p0) cmp.gt.unc p9, p0 = -6, GR_Expo_X nop.i 999//// N = fcvt.fx(float_N)// If -6 > Expo_X, set P9//(p9) br.cond.spnt L(EXPL_SMALL) };;//// If expo_X < -6 goto exp_small//{ .mmi nop.m 999(p0) addl GR_T1_ptr = @ltoff(Constants_exp_64_T1#), gp(p0) cmp.lt.unc p10, p0 = 14, GR_Expo_X };;{ .mmi ld8 GR_T1_ptr = [GR_T1_ptr] nop.m 999 nop.i 999};;{ .mib nop.m 999 nop.i 999//// If 14 < Expo_X, set P10// Create pointer to T1 table// (p10) br.cond.spnt L(EXPL_HUGE) ;;}{ .mmi(p0) addl GR_Table_Ptr = @ltoff(Constants_exp_64_Exponents#), gp(p0) addl GR_T2_ptr = @ltoff(Constants_exp_64_T2#), gp nop.i 999};;{ .mmi ld8 GR_Table_Ptr = [GR_Table_Ptr] ld8 GR_T2_ptr = [GR_T2_ptr] nop.i 999};;{ .mmi(p0) shladd GR_Table_Ptr = GR_Expo_Range,4,GR_Table_Ptr ;; //// Adjust T1_ptr by x 4 for single-precision values// Adjust T2_ptr by x 4 for single-precision values//(p0) ld8 GR_Big_Pos_Exp = [GR_Table_Ptr],8 nop.i 999 ;;}//// Load double W1// Load +max exponent//{ .mfi(p0) ld8 GR_Big_Neg_Exp = [GR_Table_Ptr],0//// If 14 < Expo_X, goto exp_huge//(p0) fcvt.xf FR_float_N = FR_N nop.i 999 };;//// Load double W2// Load -max exponent// Load ptr to A's//{ .mmi(p0) getf.sig GR_N_fix = FR_N (p0) addl GR_Table_Ptr = @ltoff(Constants_exp_64_A#), gp nop.i 999};;{ .mmi ld8 GR_Table_Ptr = [GR_Table_Ptr] nop.m 999 nop.i 999};;//// Load single T1// Load single T2// W_1_p1 = W_1 + 1//{ .mmi(p0) ldfe FR_A_3 = [GR_Table_Ptr],16 ;; //// Load A_3// if k > big_pos_exp, set p14 and Safe=False//(p0) ldfe FR_A_2 = [GR_Table_Ptr],16 (p0) extr.u GR_M1 = GR_N_fix, 6, 6 }{ .mmi nop.m 999 ;;(p0) shladd GR_W1_ptr = GR_M1,3,GR_W1_ptr //// float_N = fcvt.xf(N) // N_fix = significand of N// Create pointer to T2 table//(p0) extr.u GR_M2 = GR_N_fix, 0, 6 }//// r = r + X_cor// Adjust W1_ptr by x 8 for double-precision values// Adjust W2_ptr by x 8 for double-precision values// Adjust Table_ptr by Expo_Rangex16 //{ .mmi(p0) shladd GR_T1_ptr = GR_M1,2,GR_T1_ptr ;; (p0) ldfd FR_W1 = [GR_W1_ptr],0 (p0) shladd GR_W2_ptr = GR_M2,3,GR_W2_ptr }//// Load ptr to A's//{ .mfi(p0) ldfs FR_T1 = [GR_T1_ptr],0 (p0) fnma.s1 FR_r = FR_L_hi, FR_float_N, FR_X (p0) shladd GR_T2_ptr = GR_M2,2,GR_T2_ptr ;; }{ .mmi(p0) ldfd FR_W2 = [GR_W2_ptr],0 (p0) ldfs FR_T2 = [GR_T2_ptr],0 //// r = x - L_hi * float_N// M2 = extr.u(N_fix,0,6)// M1 = extr.u(N_fix,6,6)//(p0) extr GR_k = GR_N_fix, 12, 52 ;; }//// Load A_1// poly = A_3 * r + A_2// rsq = r*r//{ .mii(p0) add GR_BIAS_p_k = GR_BIAS, GR_k (p0) cmp.gt.unc p14,p15 = GR_k,GR_Big_Pos_Exp ;; (p15) cmp.lt p14,p15 = GR_k,GR_Big_Neg_Exp}//// BIAS_p_K = BIAS + k// T = T1 * T2//{ .mfi(p0) setf.exp FR_Scale = GR_BIAS_p_k nop.f 999 nop.i 999 ;;}{ .mfi nop.m 999(p0) fnma.s1 FR_r = FR_L_lo, FR_float_N, FR_r nop.i 999}//// W = W_1_p1 * W2 + W1//{ .mfi(p0) ldfe FR_A_1 = [GR_Table_Ptr],16 nop.f 999 nop.i 999 ;;}{ .mfi nop.m 999(p0) fadd.s1 FR_W_1_p1 = FR_W1, f1 nop.i 999 ;;}{ .mfi nop.m 999//// k = extr.u(N_fix,0,6)// r = r - N * L_lo// Load ptr to Table of exponent thresholds.//(p0) fadd.s1 FR_r = FR_r, FR_X_cor nop.i 999}{ .mfi nop.m 999(p0) fmpy.s1 FR_T = FR_T1, FR_T2 nop.i 999 ;;}{ .mfi nop.m 999//// if k < big_neg_exp, set p14 and Safe=False// Load A_2//(p0) fma.s1 FR_W = FR_W2, FR_W_1_p1, FR_W1 nop.i 999 ;;}{ .mfi nop.m 999(p0) fma.s1 FR_poly = FR_r, FR_A_3, FR_A_2 nop.i 999}{ .mfi nop.m 999(p0) fmpy.s1 FR_rsq = FR_r, FR_r nop.i 999 ;;}{ .mfi nop.m 999(p0) mov FR_Y_hi = FR_T nop.i 999 ;;}{ .mfi nop.m 999//// Scale = set_exp(BIAS_p_k)// poly = r * poly + A_1//(p0) fadd.s1 FR_Wp1 = FR_W, f1 nop.i 999 ;;}{ .mfi nop.m 999(p0) fma.s1 FR_poly = FR_r, FR_poly, FR_A_1 nop.i 999 ;;}{ .mfi nop.m 999(p0) fma.s1 FR_poly = FR_rsq, FR_poly,FR_r nop.i 999 ;;}{ .mfi nop.m 999//// Wp1 = W + 1// poly = rsq * poly + rk//(p0) fma.s1 FR_Y_lo = FR_Wp1, FR_poly, FR_W nop.i 999 ;;}{ .mfb nop.m 999//// Y_lo = poly * Wp1 + W // Y_hi = T//(p0) fmpy.s1 FR_Y_lo = FR_Y_lo, FR_T //// Y_lo = T * Y_lo//(p0) br.cond.sptk L(EXPL_RETURN) ;; }L(EXPL_SMALL): //// r4 = rsq * rsq//{ .mmi nop.m 999(p0) addl GR_Table_Ptr1 = @ltoff(Constants_exp_64_P), gp nop.i 999};;{ .mmi ld8 GR_Table_Ptr1 = [GR_Table_Ptr1] nop.m 999 nop.i 999};;{ .mmf nop.m 999(p0) ldfe FR_P_6 = [GR_Table_Ptr1],16 //// Return //(p0) fadd.s1 FR_r = FR_X,f0 ;; }{ .mmi nop.m 999(p0) addl GR_Table_Ptr = @ltoff(Constants_exp_64_Exponents#), gp nop.i 999};;{ .mmi ld8 GR_Table_Ptr = [GR_Table_Ptr](p0) ldfe FR_P_5 = [GR_Table_Ptr1],16 nop.i 999};;//// Is input very small? // Load P_5//{ .mii(p0) ldfe FR_P_4 = [GR_Table_Ptr1],16 (p0) add GR_Table_Ptr = 0x040,GR_Table_Ptr ;; (p0) shladd GR_Table_Ptr = GR_Expo_Range,3,GR_Table_Ptr ;; }{ .mmb(p0) ldfe FR_P_3 = [GR_Table_Ptr1],16 //// Adjust ptr.//(p0) ld8 GR_vsm_expo = [GR_Table_Ptr],0 nop.b 999 ;;}{ .mfi nop.m 999//// r = X (don't seem to need X_Cor) // Load the threshold exponents//(p0) fmpy.s1 FR_rsq = FR_r, FR_r nop.i 999 ;;}//// Load the negative integer// Load P_5//{ .mfi(p0) cmp.lt.unc p12, p0 = GR_Expo_X, GR_vsm_expo nop.f 999 nop.i 999 ;;}{ .mfb nop.m 999//// rsq = r * r// Offset into exponents//(p0) fmpy.s1 FR_r4 = FR_rsq, FR_rsq (p12) br.cond.spnt L(EXPL_VERY_SMALL) ;; }{ .mfi(p0) ldfe FR_P_2 = [GR_Table_Ptr1],16 //// Load p4,p3,p2,p1//(p0) fma.s1 FR_poly_lo = FR_P_6, FR_r, FR_P_5 //// Y_lo = r4 * poly_lo + poly_hi// Scale = 1.0//(p0) add GR_temp = 0x1,r0 ;; }{ .mmf nop.m 999(p0) ldfe FR_P_1 = [GR_Table_Ptr1],0 (p0) mov FR_Scale = f1 }//// Begin creating lsb to perturb final result//{ .mfi(p0) setf.sig FR_temp = GR_temp (p0) mov FR_Y_hi = f1 nop.i 999 ;;}{ .mfi nop.m 999//// poly_lo = p_5 + p_6 * r// poly_hi = p_1 + p_2 * r//(p0) fma.s1 FR_poly_lo = FR_poly_lo, FR_r, FR_P_4 nop.i 999 ;;}{ .mfi nop.m 999//// poly_lo = p_4 + poly_lo * r// poly_hi = r + poly_hi * rsq//(p0) fma.s1 FR_poly_lo = FR_poly_lo, FR_r, FR_P_3 nop.i 999}{ .mfi nop.m 999(p0) fma.s1 FR_poly_hi = FR_P_2, FR_r, FR_P_1 nop.i 999 ;;}{ .mfi nop.m 999(p0) fma.s1 FR_poly_hi = FR_poly_hi, FR_rsq, FR_r nop.i 999 ;;}{ .mfi nop.m 999// // poly_lo = p_3 + poly_lo * r// Y_hi = 1, always// (p0) fma.s1 FR_Y_lo = FR_poly_lo, FR_r4, FR_poly_hi nop.i 999 ;;}{ .mfi nop.m 999//// Set lsb in fp register// (p0) for FR_temp = FR_Y_lo,FR_temp nop.i 999 ;;}{ .mfb nop.m 999//// Toggle on last bit of Y_lo//(p0) fmerge.se FR_Y_lo = FR_Y_lo,FR_temp //// Set lsb of Y_lo to 1//(p0) br.cond.sptk L(EXPL_RETURN) ;; }L(EXPL_VERY_SMALL): { .mfi nop.m 999(p0) mov FR_Y_lo = FR_r (p0) cmp.eq.unc p15, p0 = r0, r0 }{ .mfi nop.m 999(p0) mov FR_Scale = f1 nop.i 999};;{ .mfb nop.m 999(p0) mov FR_Y_hi = f1 //// If flag_not_1, // Y_hi = 1.0 // Y_lo = X + X_cor// PR_Safe = true//(p0) br.cond.sptk L(EXPL_RETURN) ;; }L(EXPL_HUGE): { .mfi nop.m 999//// Return for flag=2 //(p0) fcmp.gt.unc.s1 p12, p13 = FR_X, f0 (p0) cmp.eq.unc p14, p15 = r0, r0 ;; }{ .mlx nop.m 999//// Set Safe to false// Is x > 0//(p12) movl GR_Mask = 0x15DC0 ;; }{ .mlx(p12) setf.exp FR_Y_hi = GR_Mask (p13) movl GR_Mask = 0xA240 ;; }{ .mlx(p13) setf.exp FR_Y_hi = GR_Mask // // x > 0: Create mask for Y_hi = 2**(24,000) // x <= 0: Create mask for Y_hi = 2**(-24,000) //(p13) movl GR_temp = 0xA1DC ;; }{ .mfi(p13) setf.exp FR_Y_lo = GR_temp //// x < =0: Create mask for 2**(-24,100)// x <= 0: Y_lo = w**(-24,100)//(p12) mov FR_Y_lo = f1 nop.i 999 ;;}{ .mfi nop.m 999(p12) mov FR_Scale = FR_Y_hi nop.i 999 ;;}{ .mfi nop.m 999//// x > 0: Y_lo = 1.0// x > 0: Scale = 2**(24,000) //(p13) mov FR_Scale = FR_Y_hi nop.i 999 ;;}L(EXPL_RETURN): { .mfi nop.m 999//// Scale = 2**(24,000)////// exp(y *ln(x)) almost complete // FR_Scale is Scale// f34 is Z_hi // f35 is Z_lo //(p0) fmpy.s1 FR_Sgn = FR_Scale, FR_Sgn nop.i 999 ;;}{ .mfi nop.m 999//// sgn * scale //(p0) fmpy.s1 FR_Y_lo = FR_Y_lo,FR_Sgn nop.i 999 ;;}{ .mfb nop.m 999//// Z_lo * (sgn * scale) //(p0) fma.s0 FR_Result = FR_Y_hi, FR_Sgn, FR_Y_lo //// Z_hi * (sgn * scale) + Z_lo//(p15) br.cond.sptk L(POWL_64_RETURN) ;;}{ .mfi nop.m 999(p0) fsetc.s3 0x7F,0x01 nop.i 999}{ .mlx nop.m 999//// Z_hi * (sgn * scale) + Z_lo with wre & td// Z_hi * (sgn * scale) + Z_lo with fz & td//(p0) movl GR_T1_ptr = 0x00000000013FFF ;;}{ .mfi nop.m 999(p0) fma.s3 FR_Result_small = FR_Y_hi, FR_Sgn, FR_Y_lo nop.i 999}{ .mfi nop.m 999(p0) fsetc.s3 0x7F,0x40 nop.i 999 ;;}{ .mfi nop.m 999//// Return if no danger of over of underflow.//(p0) fsetc.s2 0x7F,0x42 nop.i 999;;}{ .mfi nop.m 999//// S0 user supplied status// S2 user supplied status + WRE + TD (Overflows)// S3 user supplied status + FZ + TD (Underflows)//(p0) fma.s2 FR_Result_big = FR_Y_hi, FR_Sgn, FR_Y_lo nop.i 999 ;;
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