📄 s_cbrt.s
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0xffeaae3832b63956ASM_SIZE_DIRECTIVE(T_table).align 32.global cbrt#.section .text.proc cbrt#.align 32cbrt: { .mfi // get significand getf.sig r23=f8 // will continue only for normal/denormal numbers (p0) fclass.nm.unc p12,p0 = f8, 0x1b // r2 = pointer to C_1,...,C_5 followed by T_table addl r2 = @ltoff(poly_coeffs), gp}{.mfi // get exponent getf.exp r24=f8 // normalize a fma.s1 f14=f8,f1,f0 // r29=bias-((2^{12}-1)/3) -63=0xffff-0x555-0x3f=0xfa6b mov r29=0xfa6b;; }{.mlx mov r25=0x20000 // r28=2^52 movl r28=0x8000000000000000;;}{.mfb // load start address for C_1,...,C_5 followed by T_table ld8 r3=[r2] (p12) fma.d.s0 f8=f8,f1,f0 (p12) br.ret.spnt b0}{.mfi nop.m 0 // y=frcpa(a) frcpa.s0 f8,p6=f1,f8 // p7=1 if denormal input cmp.gtu p7,p0=r28,r23;;}{.mmi // get exponent (p7) getf.exp r24=f14 // get normalized significand (p7) getf.sig r23=f14 // r28=bias-(2^{12}-1) mov r28=0xf000;;}{.mii // get r26=sign and r26=r24,r25 // eliminate leading 1 from r23=1st table index shl r23=r23,1 // eliminate sign from exponent (r25) andcm r25=r24,r25;;}{.mib add r2=32,r3 // r23=1st table index (y_index,8 bits) shr.u r23=r23,56 nop.b 0}{.mib // load C_1 ldfe f7=[r3],16 // subtract bias from r25=exponent sub r25=r25,r28 nop.b 0;;}{.mib // load C_2, C_3 ldfpd f9,f10=[r3] // 1: exponent*=5; // (2^{16}-1)/3=0x5555 shladd r24=r25,2,r25 nop.b 0}{.mib // load C_4, C_5 ldfpd f11,f12=[r2],16 // r23=3*y_index shladd r23=r23,1,r23 nop.b 0;;}{.mfi // r30=(5*expon)*16+5*expon=(0x55)*expon shladd r30=r24,4,r24 // r=1-a*y (p6) fnma.s1 f6=f8,f14,f1 // adjust T_table pointer by 1st index shladd r2=r23,3,r2;;}{.mii nop.m 0 // r24=(0x5500)*expon shl r24=r30,8;; // r24=(0x5555)*expon add r24=r24,r30;;}{.mii // r24=(0x5556)*expon // 0x5556=(2^{16}+2)/3 add r24=r24,r25 nop.i 0;; // r24=floor(expon/3) shr r24=r24,16;;}{.mfi // r28=3*exponent shladd r28=r24,1,r24 // r2=r*r (p6) fma.s1 f13=f6,f6,f0 // bias exponent add r24=r29,r24;;}{.mfi // get remainder of exponent/3 : r25-r28 sub r25=r25,r28 // c2+c3*r (p6) fma.s1 f9=f10,f6,f9 // add sign to exponent or r24=r24,r26}{.mfi nop.m 0 // c4+c5*r (p6) fma.s1 f11=f12,f6,f11 nop.i 0;;}{.mmi // f14=sign*2^{exponent/3} (p6) setf.exp f14=r24 // adjust T_table pointer by 2nd index shladd r2=r25,3,r2 nop.i 0;;}{.mmi // load T (p6) ldf8 f8=[r2] nop.m 0 nop.i 0;;}{.mfi nop.m 0 // (c2+c3*r)+r^2*(c4+c5*r) (p6) fma.s1 f9=f11,f13,f9 nop.i 0}{.mfi nop.m 0 // c1*r (p6) fma.s1 f7=f7,f6,f0 nop.i 0;;}{.mfi nop.m 0 // P=c1*r+r^2*[(c2+c3*r)+r^2*(c4+c5*r)] (p6) fma.s1 f9=f9,f13,f7 nop.i 0}{.mfi nop.m 0 // T'=T*(2^exp) (p6) fma.s1 f8=f8,f14,f0 nop.i 0;;}{.mfb nop.m 0 // result = T'-T'*P (p6) fnma.d.s0 f8=f8,f9,f8 br.ret.sptk b0;;}.endp cbrtASM_SIZE_DIRECTIVE(cbrt)⌨️ 快捷键说明
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