?? e_asinl.s
字號:
// use 15-term polynomial approximation{.mmi // r3 = pointer to polynomial coefficients addl r3 = @ltoff(poly_coeffs), gp;; // load start address for coefficients ld8 r3 = [r3] mov R_TMP = 0x3fbf;;}{.mmi add r2 = 64, r3 ldfe F_C3 = [r3], 16 // p7 = 1 if |s|<2^{-64} (exponent of s<bias-64) cmp.lt p7, p0 = R_EXP0, R_TMP;;}{.mmf ldfe F_C5 = [r3], 16 ldfpd F_C11, F_C13 = [r2], 16 // 2^{-128} fma.s1 F_2M128 = F_2M64, F_2M64, f0;;}{.mmf ldfpd F_C7, F_C9 = [r3] ldfpd F_C15, F_C17 = [r2] // if |s|<2^{-64}, return s+2^{-128}*s (p7) fma.s0 f8 = f8, F_2M128, f8;;}{.mfb nop.m 0 // s^2 fma.s1 F_R2 = f8, f8, f0 // if |s|<2^{-64}, return s (p7) br.ret.spnt b0;;}{.mfi nop.m 0 // s^3 fma.s1 F_R3 = f8, F_R2, f0 nop.i 0}{.mfi nop.m 0 // s^4 fma.s1 F_R4 = F_R2, F_R2, f0 nop.i 0;;}{.mfi nop.m 0 // c3+c5*s^2 fma.s1 F_P35 = F_C5, F_R2, F_C3 nop.i 0}{.mfi nop.m 0 // c11+c13*s^2 fma.s1 F_P1113 = F_C13, F_R2, F_C11 nop.i 0;;}{.mfi nop.m 0 // c7+c9*s^2 fma.s1 F_P79 = F_C9, F_R2, F_C7 nop.i 0}{.mfi nop.m 0 // c15+c17*s^2 fma.s1 F_P1517 = F_C17, F_R2, F_C15 nop.i 0;;}{.mfi nop.m 0 // s^8 fma.s1 F_R8 = F_R4, F_R4, f0 nop.i 0;;}{.mfi nop.m 0 // c3+c5*s^2+c7*s^4+c9*s^6 fma.s1 F_P39 = F_P79, F_R4, F_P35 nop.i 0}{.mfi nop.m 0 // c11+c13*s^2+c15*s^4+c17*s^6 fma.s1 F_P1117 = F_P1517, F_R4, F_P1113 nop.i 0;;}{.mfi nop.m 0 // c3+..+c17*s^14 fma.s1 F_P317 = F_R8, F_P1117, F_P39 nop.i 0;;}{.mfb nop.m 0 // result fma.s0 f8 = F_P317, F_R3, f8 br.ret.sptk b0;;}{.mfb nop.m 0 fma.s0 f8 = F_P317, F_R3, f0//F_P317, F_R3, F_S29 // nop.f 0//fma.s0 f8 = f13, f6, f0 br.ret.sptk b0;;} VERY_LARGE_INPUT:{.mfi nop.m 0 // s rounded to 24 significant bits fma.s.s1 F_S = f8, f1, f0 nop.i 0}{.mfi // load C5 ldfe F_C5 = [r3], 16 // x = ((1-(s^2)_s)*y^2-1)/2-(s^2-(s^2)_s)*y^2/2 fnma.s1 F_X = F_S_DS2, F_Y2_2, F_XL nop.i 0;;}{.mmf nop.m 0 // C7, C9 ldfpd F_C7, F_C9 = [r3], 16 nop.f 0;;}{.mfi // pi/2 (low, high) ldfpd F_PI2_LO, F_PI2_HI = [r3], 16 // c9*x+c8 fma.s1 F_S89 = F_X, F_CS9, F_CS8 nop.i 0}{.mfi nop.m 0 // x^2 fma.s1 F_X2 = F_X, F_X, f0 nop.i 0;;}{.mfi nop.m 0 // y*(1-s^2)*x fma.s1 F_Y1S2X = F_Y1S2, F_X, f0 nop.i 0}{.mfi // C11, C13 ldfpd F_C11, F_C13 = [r3], 16 // c7*x+c6 fma.s1 F_S67 = F_X, F_CS7, F_CS6 nop.i 0;;}{.mfi // C15, C17 ldfpd F_C15, F_C17 = [r3], 16 // c3*x+c2 fma.s1 F_S23 = F_X, F_CS3, F_CS2 nop.i 0;;}{.mfi nop.m 0 // c5*x+c4 fma.s1 F_S45 = F_X, F_CS5, F_CS4 nop.i 0;;}{.mfi nop.m 0 // (s_s)^2 fma.s1 F_DS = F_S, F_S, f0 nop.i 0}{.mfi nop.m 0 // 1-(s_s)^2 fnma.s1 F_1S2_S = F_S, F_S, f1 nop.i 0;;}{.mfi nop.m 0 // y*(1-s^2)*x^2 fma.s1 F_Y1S2X2 = F_Y1S2, F_X2, f0 nop.i 0}{.mfi nop.m 0 // x^4 fma.s1 F_X4 = F_X2, F_X2, f0 nop.i 0;;}{.mfi nop.m 0 // c9*x^3+..+c6 fma.s1 F_S69 = F_X2, F_S89, F_S67 nop.i 0;;}{.mfi nop.m 0 // c5*x^3+..+c2 fma.s1 F_S25 = F_X2, F_S45, F_S23 nop.i 0;;}{.mfi nop.m 0 // ((s_s)^2-s^2) fnma.s1 F_DS = f8, f8, F_DS nop.i 0}{.mfi nop.m 0 // (pi/2)_high-y*(1-(s_s)^2) fnma.s1 F_HI = F_Y, F_1S2_S, F_PI2_HI nop.i 0;;}{.mfi nop.m 0 // c9*x^7+..+c2 fma.s1 F_S29 = F_X4, F_S69, F_S25 nop.i 0;;}{.mfi nop.m 0 // -(y*(1-(s_s)^2))_high fms.s1 F_1S2_HI = F_HI, f1, F_PI2_HI nop.i 0;;}{.mfi nop.m 0 // (PS29*x^2+x)*y*(1-s^2) fma.s1 F_S19 = F_Y1S2X2, F_S29, F_Y1S2X nop.i 0;;}{.mfi nop.m 0 // y*(1-(s_s)^2)-(y*(1-s^2))_high fma.s1 F_DS2 = F_Y, F_1S2_S, F_1S2_HI nop.i 0;;}{.mfi nop.m 0 // R ~ sqrt(1-s^2) // (used for polynomial evaluation) fnma.s1 F_R = F_S19, f1, F_Y1S2 nop.i 0;;{.mfi nop.m 0 // y*(1-s^2)-(y*(1-s^2))_high fma.s1 F_DS2 = F_Y, F_DS, F_DS2 nop.i 0}{.mfi nop.m 0 // (pi/2)_low+(PS29*x^2)*y*(1-s^2) fma.s1 F_S29 = F_Y1S2X2, F_S29, F_PI2_LO nop.i 0;;}{.mfi nop.m 0 // R^2 fma.s1 F_R2 = F_R, F_R, f0 nop.i 0;;}{.mfi nop.m 0 // (pi/2)_low+(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-(y*(1-s^2))_high) fms.s1 F_S29 = F_S29, f1, F_DS2 nop.i 0;;}{.mfi nop.m 0 // c7+c9*R^2 fma.s1 F_P79 = F_C9, F_R2, F_C7 nop.i 0}{.mfi nop.m 0 // c3+c5*R^2 fma.s1 F_P35 = F_C5, F_R2, F_C3 nop.i 0;;}{.mfi nop.m 0 // R^4 fma.s1 F_R4 = F_R2, F_R2, f0 nop.i 0}{.mfi nop.m 0 // R^3 fma.s1 F_R3 = F_R2, F_R, f0 nop.i 0;;}{.mfi nop.m 0 // c11+c13*R^2 fma.s1 F_P1113 = F_C13, F_R2, F_C11 nop.i 0}{.mfi nop.m 0 // c15+c17*R^2 fma.s1 F_P1517 = F_C17, F_R2, F_C15 nop.i 0;;}{.mfi nop.m 0 // (pi/2)_low+(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-(y*(1-s^2))_high)+y*(1-s^2)*x fma.s1 F_S29 = F_Y1S2, F_X, F_S29 nop.i 0;;}{.mfi nop.m 0 // c11+c13*R^2+c15*R^4+c17*R^6 fma.s1 F_P1117 = F_P1517, F_R4, F_P1113 nop.i 0}{.mfi nop.m 0 // c3+c5*R^2+c7*R^4+c9*R^6 fma.s1 F_P39 = F_P79, F_R4, F_P35 nop.i 0;;}{.mfi nop.m 0 // R^8 fma.s1 F_R8 = F_R4, F_R4, f0 nop.i 0;;}{.mfi nop.m 0 // c3+c5*R^2+c7*R^4+c9*R^6+..+c17*R^14 fma.s1 F_P317 = F_P1117, F_R8, F_P39 nop.i 0;;}{.mfi nop.m 0 // (pi/2)_low-(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)- // -(y*(1-s^2))_high)+y*(1-s^2)*x - P3, 17 fnma.s1 F_S29 = F_P317, F_R3, F_S29 nop.i 0;;}{.mfi nop.m 0 // set sign (p6) fnma.s1 F_S29 = F_S29, f1, f0 nop.i 0}{.mfi nop.m 0 (p6) fnma.s1 F_HI = F_HI, f1, f0 nop.i 0;;}{.mfb nop.m 0 // Result: // (pi/2)_low-(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)- // -(y*(1-s^2))_high)+y*(1-s^2)*x - P3, 17 // +(pi/2)_high-(y*(1-s^2))_high fma.s0 f8 = F_S29, f1, F_HI br.ret.sptk b0;;} ASINL_SPECIAL_CASES:{.mfi alloc r32 = ar.pfs, 1, 4, 4, 0 // check if the input is a NaN, or unsupported format // (i.e. not infinity or normal/denormal) fclass.nm p7, p8 = f8, 0x3f // pointer to pi/2 add r3 = 48, r3;;}{.mfi // load pi/2 ldfpd F_PI2_HI, F_PI2_LO = [r3] // get |s| fmerge.s F_S = f0, f8 nop.i 0}{.mfb nop.m 0 // if NaN, quietize it, and return (p7) fma.s0 f8 = f8, f1, f0 (p7) br.ret.spnt b0;;}{.mfi nop.m 0 // |s| = 1 ? fcmp.eq.s0 p9, p0 = F_S, f1 nop.i 0}{.mfi nop.m 0 // load FR_X fma.s1 FR_X = f8, f1, f0 // load error tag mov GR_Parameter_TAG = 60;;}{.mfb nop.m 0 // change sign if s = -1 (p6) fnma.s1 F_PI2_HI = F_PI2_HI, f1, f0 nop.b 0}{.mfb nop.m 0 // change sign if s = -1 (p6) fnma.s1 F_PI2_LO = F_PI2_LO, f1, f0 nop.b 0;;}{.mfb nop.m 0 // if s = 1, result is pi/2 (p9) fma.s0 f8 = F_PI2_HI, f1, F_PI2_LO // return if |s| = 1 (p9) br.ret.sptk b0;;}{.mfi nop.m 0 // get Infinity frcpa.s1 FR_RESULT, p0 = f1, f0 nop.i 0;;}{.mfi nop.m 0 // return QNaN indefinite (0*Infinity) fma.s0 FR_RESULT = f0, FR_RESULT, f0 nop.i 0;;}GLOBAL_LIBM_END(asinl)LOCAL_LIBM_ENTRY(__libm_error_region).prologue// (1){ .mfi add GR_Parameter_Y=-32,sp // Parameter 2 value nop.f 0.save ar.pfs,GR_SAVE_PFS mov GR_SAVE_PFS=ar.pfs // Save ar.pfs}{ .mfi.fframe 64 add sp=-64,sp // Create new stack nop.f 0 mov GR_SAVE_GP=gp // Save gp};;// (2){ .mmi stfe [GR_Parameter_Y] = f1,16 // Store Parameter 2 on stack add GR_Parameter_X = 16,sp // Parameter 1 address.save b0, GR_SAVE_B0 mov GR_SAVE_B0=b0 // Save b0};;.body// (3){ .mib stfe [GR_Parameter_X] = FR_X // Store Parameter 1 on stack add GR_Parameter_RESULT = 0,GR_Parameter_Y nop.b 0 // Parameter 3 address}{ .mib stfe [GR_Parameter_Y] = FR_RESULT // Store Parameter 3 on stack add GR_Parameter_Y = -16,GR_Parameter_Y br.call.sptk b0=__libm_error_support# // Call error handling function};;{ .mmi nop.m 0 nop.m 0 add GR_Parameter_RESULT = 48,sp};;// (4){ .mmi ldfe f8 = [GR_Parameter_RESULT] // Get return result off stack.restore sp add sp = 64,sp // Restore stack pointer mov b0 = GR_SAVE_B0 // Restore return address};;{ .mib mov gp = GR_SAVE_GP // Restore gp mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs br.ret.sptk b0 // Return};;LOCAL_LIBM_END(__libm_error_region).type __libm_error_support#,@function.global __libm_error_support#
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