?? e_asinl.s
字號(hào):
LOCAL_OBJECT_END(T_table).align 16LOCAL_OBJECT_START(poly_coeffs) // C_3data8 0xaaaaaaaaaaaaaaab, 0x0000000000003ffc // C_5data8 0x999999999999999a, 0x0000000000003ffb // C_7, C_9data8 0x3fa6db6db6db6db7, 0x3f9f1c71c71c71c8 // pi/2 (low, high)data8 0x3C91A62633145C07, 0x3FF921FB54442D18 // C_11, C_13data8 0x3f96e8ba2e8ba2e9, 0x3f91c4ec4ec4ec4e // C_15, C_17data8 0x3f8c99999999999a, 0x3f87a87878787223LOCAL_OBJECT_END(poly_coeffs)R_DBL_S = r21R_EXP0 = r22R_EXP = r15R_SGNMASK = r23R_TMP = r24R_TMP2 = r25R_INDEX = r26R_TMP3 = r27R_TMP03 = r27R_TMP4 = r28R_TMP5 = r23R_TMP6 = r22R_TMP7 = r21R_T = r29R_BIAS = r20F_T = f6F_1S2 = f7F_1S2_S = f9F_INV_1T2 = f10F_SQRT_1T2 = f11F_S2T2 = f12F_X = f13F_D = f14F_2M64 = f15F_CS2 = f32F_CS3 = f33F_CS4 = f34F_CS5 = f35F_CS6 = f36F_CS7 = f37F_CS8 = f38F_CS9 = f39F_S23 = f40 F_S45 = f41 F_S67 = f42 F_S89 = f43 F_S25 = f44 F_S69 = f45 F_S29 = f46 F_X2 = f47 F_X4 = f48 F_TSQRT = f49 F_DTX = f50 F_R = f51 F_R2 = f52 F_R3 = f53 F_R4 = f54 F_C3 = f55 F_C5 = f56 F_C7 = f57 F_C9 = f58 F_P79 = f59 F_P35 = f60 F_P39 = f61 F_ATHI = f62 F_ATLO = f63 F_T1 = f64 F_Y = f65 F_Y2 = f66 F_ANDMASK = f67 F_ORMASK = f68 F_S = f69 F_05 = f70 F_SQRT_1S2 = f71 F_DS = f72 F_Z = f73 F_1T2 = f74 F_DZ = f75 F_ZE = f76 F_YZ = f77 F_Y1S2 = f78 F_Y1S2X = f79 F_1X = f80 F_ST = f81 F_1T2_ST = f82 F_TSS = f83 F_Y1S2X2 = f84 F_DZ_TERM = f85 F_DTS = f86 F_DS2X = f87 F_T2 = f88 F_ZY1S2S = f89 F_Y1S2_1X = f90 F_TS = f91F_PI2_LO = f92 F_PI2_HI = f93 F_S19 = f94 F_INV1T2_2 = f95 F_CORR = f96 F_DZ0 = f97 F_C11 = f98 F_C13 = f99 F_C15 = f100F_C17 = f101F_P1113 = f102F_P1517 = f103F_P1117 = f104F_P317 = f105F_R8 = f106F_HI = f107F_1S2_HI = f108F_DS2 = f109F_Y2_2 = f110F_S2 = f111F_S_DS2 = f112F_S_1S2S = f113F_XL = f114F_2M128 = f115.section .textGLOBAL_LIBM_ENTRY(asinl){.mfi // get exponent, mantissa (rounded to double precision) of s getf.d R_DBL_S = f8 // 1-s^2 fnma.s1 F_1S2 = f8, f8, f1 // r2 = pointer to T_table addl r2 = @ltoff(T_table), gp}{.mfi // sign mask mov R_SGNMASK = 0x20000 nop.f 0 // bias-63-1 mov R_TMP03 = 0xffff-64;;}{.mfi // get exponent of s getf.exp R_EXP = f8 nop.f 0 // R_TMP4 = 2^45 shl R_TMP4 = R_SGNMASK, 45-17}{.mlx // load bias-4 mov R_TMP = 0xffff-4 // load RU(sqrt(2)/2) to integer register (in double format, shifted left by 1) movl R_TMP2 = 0x7fcd413cccfe779a;;}{.mfi // load 2^{-64} in FP register setf.exp F_2M64 = R_TMP03 nop.f 0 // index = (0x7-exponent)|b1 b2.. b6 extr.u R_INDEX = R_DBL_S, 46, 9}{.mfi // get t = sign|exponent|b1 b2.. b6 1 x.. x or R_T = R_DBL_S, R_TMP4 nop.f 0 // R_TMP4 = 2^45-1 sub R_TMP4 = R_TMP4, r0, 1;;}{.mfi // get t = sign|exponent|b1 b2.. b6 1 0.. 0 andcm R_T = R_T, R_TMP4 nop.f 0 // eliminate sign from R_DBL_S (shift left by 1) shl R_TMP3 = R_DBL_S, 1}{.mfi // R_BIAS = 3*2^6 mov R_BIAS = 0xc0 nop.f 0 // eliminate sign from R_EXP andcm R_EXP0 = R_EXP, R_SGNMASK;;}{.mfi // load start address for T_table ld8 r2 = [r2] nop.f 0 // p8 = 1 if |s|> = sqrt(2)/2 cmp.geu p8, p0 = R_TMP3, R_TMP2}{.mlx // p7 = 1 if |s|<2^{-4} (exponent of s<bias-4) cmp.lt p7, p0 = R_EXP0, R_TMP // sqrt coefficient cs8 = -33*13/128 movl R_TMP2 = 0xc0568000;;}{.mbb // load t in FP register setf.d F_T = R_T // if |s|<2^{-4}, take alternate path (p7) br.cond.spnt SMALL_S // if |s|> = sqrt(2)/2, take alternate path (p8) br.cond.sptk LARGE_S}{.mlx // index = (4-exponent)|b1 b2.. b6 sub R_INDEX = R_INDEX, R_BIAS // sqrt coefficient cs9 = 55*13/128 movl R_TMP = 0x40b2c000;;}{.mfi // sqrt coefficient cs8 = -33*13/128 setf.s F_CS8 = R_TMP2 nop.f 0 // shift R_INDEX by 5 shl R_INDEX = R_INDEX, 5}{.mfi // sqrt coefficient cs3 = 0.5 (set exponent = bias-1) mov R_TMP4 = 0xffff - 1 nop.f 0 // sqrt coefficient cs6 = -21/16 mov R_TMP6 = 0xbfa8;;}{.mlx // table index add r2 = r2, R_INDEX // sqrt coefficient cs7 = 33/16 movl R_TMP2 = 0x40040000;;}{.mmi // load cs9 = 55*13/128 setf.s F_CS9 = R_TMP // sqrt coefficient cs5 = 7/8 mov R_TMP3 = 0x3f60 // sqrt coefficient cs6 = 21/16 shl R_TMP6 = R_TMP6, 16;;}{.mmi // load significand of 1/(1-t^2) ldf8 F_INV_1T2 = [r2], 8 // sqrt coefficient cs7 = 33/16 setf.s F_CS7 = R_TMP2 // sqrt coefficient cs4 = -5/8 mov R_TMP5 = 0xbf20;;}{.mmi // load significand of sqrt(1-t^2) ldf8 F_SQRT_1T2 = [r2], 8 // sqrt coefficient cs6 = 21/16 setf.s F_CS6 = R_TMP6 // sqrt coefficient cs5 = 7/8 shl R_TMP3 = R_TMP3, 16;;}{.mmi // sqrt coefficient cs3 = 0.5 (set exponent = bias-1) setf.exp F_CS3 = R_TMP4 // r3 = pointer to polynomial coefficients addl r3 = @ltoff(poly_coeffs), gp // sqrt coefficient cs4 = -5/8 shl R_TMP5 = R_TMP5, 16;;}{.mfi // sqrt coefficient cs5 = 7/8 setf.s F_CS5 = R_TMP3 // d = s-t fms.s1 F_D = f8, f1, F_T // set p6 = 1 if s<0, p11 = 1 if s> = 0 cmp.ge p6, p11 = R_EXP, R_DBL_S}{.mfi // r3 = load start address to polynomial coefficients ld8 r3 = [r3] // s+t fma.s1 F_S2T2 = f8, f1, F_T nop.i 0;;}{.mfi // sqrt coefficient cs4 = -5/8 setf.s F_CS4 = R_TMP5 // s^2-t^2 fma.s1 F_S2T2 = F_S2T2, F_D, f0 nop.i 0;;}{.mfi // load C3 ldfe F_C3 = [r3], 16 // 0.5/(1-t^2) = 2^{-64}*(2^63/(1-t^2)) fma.s1 F_INV_1T2 = F_INV_1T2, F_2M64, f0 nop.i 0;;}{.mfi // load C_5 ldfe F_C5 = [r3], 16 // set correct exponent for sqrt(1-t^2) fma.s1 F_SQRT_1T2 = F_SQRT_1T2, F_2M64, f0 nop.i 0;;}{.mfi // load C_7, C_9 ldfpd F_C7, F_C9 = [r3] // x = -(s^2-t^2)/(1-t^2)/2 fnma.s1 F_X = F_INV_1T2, F_S2T2, f0 nop.i 0;;}{.mfi // load asin(t)_high, asin(t)_low ldfpd F_ATHI, F_ATLO = [r2] // t*sqrt(1-t^2) fma.s1 F_TSQRT = F_T, F_SQRT_1T2, f0 nop.i 0;;}{.mfi nop.m 0 // cs9*x+cs8 fma.s1 F_S89 = F_CS9, F_X, F_CS8 nop.i 0}{.mfi nop.m 0 // cs7*x+cs6 fma.s1 F_S67 = F_CS7, F_X, F_CS6 nop.i 0;;}{.mfi nop.m 0 // cs5*x+cs4 fma.s1 F_S45 = F_CS5, F_X, F_CS4 nop.i 0}{.mfi nop.m 0 // x*x fma.s1 F_X2 = F_X, F_X, f0 nop.i 0;;}{.mfi nop.m 0 // (s-t)-t*x fnma.s1 F_DTX = F_T, F_X, F_D nop.i 0}{.mfi nop.m 0 // cs3*x+cs2 (cs2 = -0.5 = -cs3) fms.s1 F_S23 = F_CS3, F_X, F_CS3 nop.i 0;;}{.mfi nop.m 0 // cs9*x^3+cs8*x^2+cs7*x+cs6 fma.s1 F_S69 = F_S89, F_X2, F_S67 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 // t*sqrt(1-t^2)*x^2 fma.s1 F_TSQRT = F_TSQRT, F_X2, f0 nop.i 0}{.mfi nop.m 0 // cs5*x^3+cs4*x^2+cs3*x+cs2 fma.s1 F_S25 = F_S45, F_X2, F_S23 nop.i 0;;}{.mfi nop.m 0 // ((s-t)-t*x)*sqrt(1-t^2) fma.s1 F_DTX = F_DTX, F_SQRT_1T2, f0 nop.i 0;;}{.mfi nop.m 0 // if sign is negative, negate table values: asin(t)_low (p6) fnma.s1 F_ATLO = F_ATLO, f1, f0 nop.i 0}{.mfi nop.m 0 // PS29 = cs9*x^7+..+cs5*x^3+cs4*x^2+cs3*x+cs2 fma.s1 F_S29 = F_S69, F_X4, F_S25 nop.i 0;;}{.mfi nop.m 0 // if sign is negative, negate table values: asin(t)_high (p6) fnma.s1 F_ATHI = F_ATHI, f1, f0 nop.i 0}{.mfi nop.m 0 // R = ((s-t)-t*x)*sqrt(1-t^2)-t*sqrt(1-t^2)*x^2*PS29 fnma.s1 F_R = F_S29, F_TSQRT, F_DTX 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 // 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^3 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 // 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 // asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6) fma.s1 F_P39 = F_P39, F_R3, F_ATLO nop.i 0;;}{.mfi nop.m 0 // R+asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6) fma.s1 F_P39 = F_P39, f1, F_R nop.i 0;;}{.mfb nop.m 0 // result = asin(t)_high+R+asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6) fma.s0 f8 = F_ATHI, f1, F_P39 // return br.ret.sptk b0;;}LARGE_S:{.mfi // bias-1 mov R_TMP3 = 0xffff - 1 // y ~ 1/sqrt(1-s^2) frsqrta.s1 F_Y, p7 = F_1S2 // c9 = 55*13*17/128 mov R_TMP4 = 0x10af7b}{.mlx // c8 = -33*13*15/128 mov R_TMP5 = 0x184923 movl R_TMP2 = 0xff00000000000000;;}{.mfi // set p6 = 1 if s<0, p11 = 1 if s>0 cmp.ge p6, p11 = R_EXP, R_DBL_S // 1-s^2 fnma.s1 F_1S2 = f8, f8, f1 // set p9 = 1 cmp.eq p9, p0 = r0, r0;;}{.mfi // load 0.5 setf.exp F_05 = R_TMP3 // (1-s^2) rounded to single precision fnma.s.s1 F_1S2_S = f8, f8, f1 // c9 = 55*13*17/128 shl R_TMP4 = R_TMP4, 10}{.mlx // AND mask for getting t ~ sqrt(1-s^2) setf.sig F_ANDMASK = R_TMP2 // OR mask movl R_TMP2 = 0x0100000000000000;;}{.mfi nop.m 0 // (s^2)_s fma.s.s1 F_S2 = f8, f8, f0 nop.i 0;;}{.mmi // c9 = 55*13*17/128 setf.s F_CS9 = R_TMP4 // c7 = 33*13/16 mov R_TMP4 = 0x41d68 // c8 = -33*13*15/128 shl R_TMP5 = R_TMP5, 11;;}{.mfi setf.sig F_ORMASK = R_TMP2 // y^2 fma.s1 F_Y2 = F_Y, F_Y, f0 // c7 = 33*13/16 shl R_TMP4 = R_TMP4, 12}{.mfi // c6 = -33*7/16 mov R_TMP6 = 0xc1670 // y' ~ sqrt(1-s^2) fma.s1 F_T1 = F_Y, F_1S2, f0 // c5 = 63/8 mov R_TMP7 = 0x40fc;;
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