diff options
Diffstat (limited to 'sysdeps/x86_64/fpu')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_atanhf8_core_avx2.S | 405 |
1 files changed, 202 insertions, 203 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_atanhf8_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_atanhf8_core_avx2.S index c1ea1c3353..43eb423831 100644 --- a/sysdeps/x86_64/fpu/multiarch/svml_s_atanhf8_core_avx2.S +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_atanhf8_core_avx2.S @@ -30,305 +30,304 @@ * */ -/* Offsets for data table __svml_satanh_data_internal - */ +/* Offsets for data table __svml_satanh_data_internal_avx512. Ordered + by use in the function. On cold-starts this might hhelp the + prefetcher. Possibly a better idea is to interleave start/end so + that the prefetcher is less likely to detect a stream and pull + irrelivant lines into cache. */ #define SgnMask 0 #define sOne 32 -#define sPoly 64 -#define iBrkValue 320 -#define iOffExpoMask 352 -#define sHalf 384 -#define sSign 416 -#define sTopMask12 448 -#define TinyRange 480 -#define sLn2 512 +#define sTopMask12 64 +#define TinyRange 96 +#define iBrkValue 128 +#define iOffExpoMask 160 +#define sPoly 192 +#define sLn2 448 +#define sHalf 480 #include <sysdep.h> +#define ATANHF_DATA(x) ((x)+__svml_satanh_data_internal) .section .text.avx2, "ax", @progbits ENTRY(_ZGVdN8v_atanhf_avx2) - pushq %rbp - cfi_def_cfa_offset(16) - movq %rsp, %rbp - cfi_def_cfa(6, 16) - cfi_offset(6, -16) - andq $-32, %rsp - subq $96, %rsp - + /* Strip off the sign, so treat X as positive until right at the end */ + vmovaps ATANHF_DATA(SgnMask)(%rip), %ymm2 + vandps %ymm2, %ymm0, %ymm3 /* Load constants including One = 1 */ - vmovups sOne+__svml_satanh_data_internal(%rip), %ymm5 - vmovups sTopMask12+__svml_satanh_data_internal(%rip), %ymm13 - vmovaps %ymm0, %ymm6 + vmovups ATANHF_DATA(sOne)(%rip), %ymm5 + vsubps %ymm3, %ymm5, %ymm1 + vmovups ATANHF_DATA(sTopMask12)(%rip), %ymm4 - /* Strip off the sign, so treat X as positive until right at the end */ - vandps SgnMask+__svml_satanh_data_internal(%rip), %ymm6, %ymm10 - vsubps %ymm10, %ymm5, %ymm1 + vrcpps %ymm1, %ymm7 + vsubps %ymm1, %ymm5, %ymm9 + vandps %ymm4, %ymm7, %ymm6 + vsubps %ymm3, %ymm9, %ymm7 - /* - * Compute V = 2 * X trivially, and UHi + U_lo = 1 - X in two pieces, - * the upper part UHi being <= 12 bits long. Then we have - * atanh(X) = 1/2 * log((1 + X) / (1 - X)) = 1/2 * log1p(V / (UHi + ULo)). - */ - vaddps %ymm10, %ymm10, %ymm14 + /* No need to split sU when FMA is available */ + vfnmadd213ps %ymm5, %ymm6, %ymm1 + vmovaps %ymm0, %ymm8 + vfmadd213ps %ymm0, %ymm0, %ymm0 + vfnmadd231ps %ymm6, %ymm7, %ymm1 /* * Check whether |X| < 1, in which case we use the main function. * Otherwise set the rangemask so that the callout will get used. * Note that this will also use the callout for NaNs since not(NaN < 1). */ - vcmpnlt_uqps %ymm5, %ymm10, %ymm7 - vsubps %ymm1, %ymm5, %ymm9 - vcmplt_oqps TinyRange+__svml_satanh_data_internal(%rip), %ymm10, %ymm4 - vrcpps %ymm1, %ymm11 - vsubps %ymm10, %ymm9, %ymm12 - vandps %ymm13, %ymm11, %ymm0 + vcmpnlt_uqps %ymm5, %ymm3, %ymm14 + vcmplt_oqps ATANHF_DATA(TinyRange)(%rip), %ymm3, %ymm15 - /* No need to split sU when FMA is available */ - vfnmadd213ps %ymm5, %ymm0, %ymm1 - vmovaps %ymm6, %ymm8 - vfmadd213ps %ymm6, %ymm6, %ymm8 - vfnmadd231ps %ymm0, %ymm12, %ymm1 + /* + * Compute V = 2 * X trivially, and UHi + U_lo = 1 - X in two pieces, + * the upper part UHi being <= 12 bits long. Then we have + * atanh(X) = 1/2 * log((1 + X) / (1 - X)) = 1/2 * log1p(V / (UHi + ULo)). + */ + vaddps %ymm3, %ymm3, %ymm3 /* * Split V as well into upper 12 bits and lower part, so that we can get * a preliminary quotient estimate without rounding error. */ - vandps %ymm13, %ymm14, %ymm15 - vmovmskps %ymm7, %edx - vsubps %ymm15, %ymm14, %ymm7 + vandps %ymm4, %ymm3, %ymm4 + vsubps %ymm4, %ymm3, %ymm7 /* Hence get initial quotient estimate QHi + QLo = R * VHi + R * VLo */ - vmulps %ymm15, %ymm0, %ymm10 + vmulps %ymm4, %ymm6, %ymm4 /* Compute D = E + E^2 */ vfmadd213ps %ymm1, %ymm1, %ymm1 - /* Record the sign for eventual reincorporation. */ - vandps sSign+__svml_satanh_data_internal(%rip), %ymm6, %ymm3 + /* Record the sign for eventual reincorporation. */ + vandnps %ymm8, %ymm2, %ymm3 /* Or the sign bit in with the tiny result to handle atanh(-0) correctly */ - vorps %ymm3, %ymm8, %ymm2 - vmulps %ymm7, %ymm0, %ymm8 + vorps %ymm3, %ymm0, %ymm13 + vmulps %ymm7, %ymm6, %ymm2 /* * Compute R * (VHi + VLo) * (1 + E + E^2) * = R * (VHi + VLo) * (1 + D) * = QHi + (QHi * D + QLo + QLo * D) */ - vmulps %ymm1, %ymm10, %ymm9 - vfmadd213ps %ymm8, %ymm8, %ymm1 - vaddps %ymm1, %ymm9, %ymm1 - /* reduction: compute r, n */ - vmovups iBrkValue+__svml_satanh_data_internal(%rip), %ymm9 + /* + * If less precision is acceptable the `vmulps %ymm1, %ymm4, %ymm9; + * vaddps %ymm1, %ymm9, %ymm1` can be replaced with + * `vfmadd231ps %ymm1, %ymm4, %ymm4`. + */ + vmulps %ymm1, %ymm4, %ymm6 + vfmadd213ps %ymm2, %ymm2, %ymm1 + vaddps %ymm1, %ymm6, %ymm1 /* * Now finally accumulate the high and low parts of the * argument to log1p, H + L, with a final compensated summation. */ - vaddps %ymm1, %ymm10, %ymm12 - vsubps %ymm12, %ymm10, %ymm11 + vaddps %ymm1, %ymm4, %ymm2 + + /* reduction: compute r, n */ + vmovups ATANHF_DATA(iBrkValue)(%rip), %ymm9 /* * Now we feed into the log1p code, using H in place of _VARG1 and * later incorporating L into the reduced argument. * compute 1+x as high, low parts */ - vmaxps %ymm12, %ymm5, %ymm13 - vminps %ymm12, %ymm5, %ymm14 - vaddps %ymm11, %ymm1, %ymm0 - vaddps %ymm14, %ymm13, %ymm1 - vpsubd %ymm9, %ymm1, %ymm7 - vsubps %ymm1, %ymm13, %ymm15 - vpsrad $23, %ymm7, %ymm10 - vpand iOffExpoMask+__svml_satanh_data_internal(%rip), %ymm7, %ymm8 - vaddps %ymm15, %ymm14, %ymm13 - vpslld $23, %ymm10, %ymm11 - vpaddd %ymm9, %ymm8, %ymm15 - vaddps %ymm13, %ymm0, %ymm14 - vcvtdq2ps %ymm10, %ymm0 - vpsubd %ymm11, %ymm5, %ymm12 + vmaxps %ymm2, %ymm5, %ymm0 + vminps %ymm2, %ymm5, %ymm6 + + /* This is needed for rounding (see `vaddps %ymm1, %ymm4, %ymm2`). */ + vsubps %ymm2, %ymm4, %ymm2 + vaddps %ymm6, %ymm0, %ymm4 + vpsubd %ymm9, %ymm4, %ymm7 + vsubps %ymm4, %ymm0, %ymm4 + vaddps %ymm2, %ymm1, %ymm2 + vmovaps ATANHF_DATA(iOffExpoMask)(%rip), %ymm1 + + vandps %ymm1, %ymm7, %ymm0 + vaddps %ymm4, %ymm6, %ymm4 + vandnps %ymm7, %ymm1, %ymm6 + vmovups ATANHF_DATA(sPoly+0)(%rip), %ymm1 + vpaddd %ymm9, %ymm0, %ymm0 + vaddps %ymm4, %ymm2, %ymm4 + vpsubd %ymm6, %ymm5, %ymm6 /* polynomial evaluation */ - vsubps %ymm5, %ymm15, %ymm5 - vmulps %ymm14, %ymm12, %ymm1 - vaddps %ymm5, %ymm1, %ymm5 - vmovups sPoly+224+__svml_satanh_data_internal(%rip), %ymm1 - vfmadd213ps sPoly+192+__svml_satanh_data_internal(%rip), %ymm5, %ymm1 - vfmadd213ps sPoly+160+__svml_satanh_data_internal(%rip), %ymm5, %ymm1 - vfmadd213ps sPoly+128+__svml_satanh_data_internal(%rip), %ymm5, %ymm1 - vfmadd213ps sPoly+96+__svml_satanh_data_internal(%rip), %ymm5, %ymm1 - vfmadd213ps sPoly+64+__svml_satanh_data_internal(%rip), %ymm5, %ymm1 - vfmadd213ps sPoly+32+__svml_satanh_data_internal(%rip), %ymm5, %ymm1 - vfmadd213ps sPoly+__svml_satanh_data_internal(%rip), %ymm5, %ymm1 - vmulps %ymm1, %ymm5, %ymm7 - vfmadd213ps %ymm5, %ymm5, %ymm7 + vsubps %ymm5, %ymm0, %ymm2 + vfmadd231ps %ymm4, %ymm6, %ymm2 + vfmadd213ps ATANHF_DATA(sPoly+32)(%rip), %ymm2, %ymm1 + vfmadd213ps ATANHF_DATA(sPoly+64)(%rip), %ymm2, %ymm1 + vfmadd213ps ATANHF_DATA(sPoly+96)(%rip), %ymm2, %ymm1 + vfmadd213ps ATANHF_DATA(sPoly+128)(%rip), %ymm2, %ymm1 + vfmadd213ps ATANHF_DATA(sPoly+160)(%rip), %ymm2, %ymm1 + vfmadd213ps ATANHF_DATA(sPoly+192)(%rip), %ymm2, %ymm1 + vfmadd213ps ATANHF_DATA(sPoly+224)(%rip), %ymm2, %ymm1 + + vmulps %ymm1, %ymm2, %ymm1 + vfmadd213ps %ymm2, %ymm2, %ymm1 /* final reconstruction */ - vfmadd132ps sLn2+__svml_satanh_data_internal(%rip), %ymm7, %ymm0 + vpsrad $23, %ymm7, %ymm6 + vcvtdq2ps %ymm6, %ymm2 + vfmadd132ps ATANHF_DATA(sLn2)(%rip), %ymm1, %ymm2 /* Finally, halve the result and reincorporate the sign */ - vxorps sHalf+__svml_satanh_data_internal(%rip), %ymm3, %ymm3 - vmulps %ymm0, %ymm3, %ymm0 - vblendvps %ymm4, %ymm2, %ymm0, %ymm0 + vxorps ATANHF_DATA(sHalf)(%rip), %ymm3, %ymm3 + vmulps %ymm2, %ymm3, %ymm2 + vmovmskps %ymm14, %edx testl %edx, %edx + vblendvps %ymm15, %ymm13, %ymm2, %ymm0 /* Go to special inputs processing branch */ jne L(SPECIAL_VALUES_BRANCH) - # LOE rbx r12 r13 r14 r15 edx ymm0 ymm6 - - /* Restore registers - * and exit the function - */ - -L(EXIT): - movq %rbp, %rsp - popq %rbp - cfi_def_cfa(7, 8) - cfi_restore(6) + # LOE rbx rdx r12 r13 r14 r15 ymm0 + /* No registers to restore on fast path. */ ret - cfi_def_cfa(6, 16) - cfi_offset(6, -16) - /* Branch to process - * special inputs - */ + /* Cold case. edx has 1s where there was a special value that + needs to be handled by a atanhf call. Optimize for code size + more so than speed here. */ L(SPECIAL_VALUES_BRANCH): - vmovups %ymm6, 32(%rsp) - vmovups %ymm0, 64(%rsp) - # LOE rbx r12 r13 r14 r15 edx ymm0 - - xorl %eax, %eax - # LOE rbx r12 r13 r14 r15 eax edx - - vzeroupper - movq %r12, 16(%rsp) - /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ - .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 - movl %eax, %r12d - movq %r13, 8(%rsp) - /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ - .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 - movl %edx, %r13d - movq %r14, (%rsp) - /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ - .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 - # LOE rbx r15 r12d r13d - - /* Range mask - * bits check + # LOE rbx rdx r12 r13 r14 r15 ymm0 ymm8 + /* Use r13 to save/restore the stack. This allows us to use rbp as + callee save register saving code size. */ + pushq %r13 + cfi_adjust_cfa_offset(8) + cfi_offset(r13, -16) + /* Need to callee save registers to preserve state across tanhf calls. */ + pushq %rbx + cfi_adjust_cfa_offset(8) + cfi_offset(rbx, -24) + pushq %rbp + cfi_adjust_cfa_offset(8) + cfi_offset(rbp, -32) + movq %rsp, %r13 + cfi_def_cfa_register(r13) -L(RANGEMASK_CHECK): - btl %r12d, %r13d + /* Align stack and make room for 2x ymm vectors. */ + andq $-32, %rsp + addq $-64, %rsp - /* Call scalar math function */ - jc L(SCALAR_MATH_CALL) - # LOE rbx r15 r12d r13d + /* Save all already computed inputs. */ + vmovups %ymm0, (%rsp) + /* Save original input (ymm8 unchanged up to this point). */ + vmovups %ymm8, 32(%rsp) - /* Special inputs - * processing loop - */ + vzeroupper + /* edx has 1s where there was a special value that needs to be handled + by a atanhf call. */ + movl %edx, %ebx L(SPECIAL_VALUES_LOOP): - incl %r12d - cmpl $8, %r12d - - /* Check bits in range mask */ - jl L(RANGEMASK_CHECK) - # LOE rbx r15 r12d r13d - - movq 16(%rsp), %r12 - cfi_restore(12) - movq 8(%rsp), %r13 - cfi_restore(13) - movq (%rsp), %r14 - cfi_restore(14) - vmovups 64(%rsp), %ymm0 - - /* Go to exit */ - jmp L(EXIT) - /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ - .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 - /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ - .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 - /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ - .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 - # LOE rbx r12 r13 r14 r15 ymm0 - - /* Scalar math fucntion call - * to process special input - */ - -L(SCALAR_MATH_CALL): - movl %r12d, %r14d - movss 32(%rsp, %r14, 4), %xmm0 + # LOE rbx rbp r12 r13 r14 r15 + /* use rbp as index for special value that is saved across calls to + atanhf. We technically don't need a callee save register here as offset + to rsp is always [0, 28] so we can restore rsp by realigning to 64. + Essentially the tradeoff is 1 extra save/restore vs 2 extra instructions + in the loop. Realigning also costs more code size. */ + xorl %ebp, %ebp + tzcntl %ebx, %ebp + + /* Scalar math fucntion call to process special input. */ + movss 32(%rsp, %rbp, 4), %xmm0 call atanhf@PLT - # LOE rbx r14 r15 r12d r13d xmm0 - movss %xmm0, 64(%rsp, %r14, 4) + /* No good way to avoid the store-forwarding fault this will cause on + return. `lfence` avoids the SF fault but at greater cost as it + serialized stack/callee save restoration. */ + movss %xmm0, (%rsp, %rbp, 4) + + blsrl %ebx, %ebx + jnz L(SPECIAL_VALUES_LOOP) + # LOE r12 r13 r14 r15 + - /* Process special inputs in loop */ - jmp L(SPECIAL_VALUES_LOOP) - # LOE rbx r15 r12d r13d + /* All results have been written to (%rsp). */ + vmovups (%rsp), %ymm0 + /* Restore rsp. */ + movq %r13, %rsp + cfi_def_cfa_register(rsp) + /* Restore callee save registers. */ + popq %rbp + cfi_adjust_cfa_offset(-8) + cfi_restore(rbp) + popq %rbx + cfi_adjust_cfa_offset(-8) + cfi_restore(rbp) + popq %r13 + cfi_adjust_cfa_offset(-8) + cfi_restore(r13) + ret END(_ZGVdN8v_atanhf_avx2) .section .rodata, "a" .align 32 - #ifdef __svml_satanh_data_internal_typedef typedef unsigned int VUINT32; -typedef struct { +typedef struct{ __declspec(align(32)) VUINT32 SgnMask[8][1]; __declspec(align(32)) VUINT32 sOne[8][1]; - __declspec(align(32)) VUINT32 sPoly[8][8][1]; - __declspec(align(32)) VUINT32 iBrkValue[8][1]; - __declspec(align(32)) VUINT32 iOffExpoMask[8][1]; - __declspec(align(32)) VUINT32 sHalf[8][1]; - __declspec(align(32)) VUINT32 sSign[8][1]; __declspec(align(32)) VUINT32 sTopMask12[8][1]; __declspec(align(32)) VUINT32 TinyRange[8][1]; + __declspec(align(32)) VUINT32 iBrkValue[8][1]; + __declspec(align(32)) VUINT32 iOffExpoMask[8][1]; + __declspec(align(32)) VUINT32 sPoly[8][8][1]; __declspec(align(32)) VUINT32 sLn2[8][1]; + __declspec(align(32)) VUINT32 sHalf[8][1]; } __svml_satanh_data_internal; #endif __svml_satanh_data_internal: /* SgnMask */ - .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* sOne = SP 1.0 */ .align 32 - .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 - /* sPoly[] = SP polynomial */ + .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 + .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 + /* sTopMask12 */ + .align 32 + .long 0xFFFFF000, 0xFFFFF000, 0xFFFFF000, 0xFFFFF000 + .long 0xFFFFF000, 0xFFFFF000, 0xFFFFF000, 0xFFFFF000 + /* TinyRange */ .align 32 - .long 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000 /* -5.0000000000000000000000000e-01 P0 */ - .long 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94 /* 3.3333265781402587890625000e-01 P1 */ - .long 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e /* -2.5004237890243530273437500e-01 P2 */ - .long 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190 /* 2.0007920265197753906250000e-01 P3 */ - .long 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37 /* -1.6472326219081878662109375e-01 P4 */ - .long 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12 /* 1.4042308926582336425781250e-01 P5 */ - .long 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3 /* -1.5122179687023162841796875e-01 P6 */ - .long 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed /* 1.3820238411426544189453125e-01 P7 */ + .long 0x0C000000, 0x0C000000, 0x0C000000, 0x0C000000 + .long 0x0C000000, 0x0C000000, 0x0C000000, 0x0C000000 /* iBrkValue = SP 2/3 */ .align 32 - .long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab + .long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab + .long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab /* iOffExpoMask = SP significand mask */ .align 32 - .long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff - /* sHalf */ - .align 32 - .long 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000 - /* sSign */ - .align 32 - .long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 - /* sTopMask12 */ - .align 32 - .long 0xFFFFF000, 0xFFFFF000, 0xFFFFF000, 0xFFFFF000, 0xFFFFF000, 0xFFFFF000, 0xFFFFF000, 0xFFFFF000 - /* TinyRange */ + .long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff + .long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff + /* sPoly[] = SP polynomial */ .align 32 - .long 0x0C000000, 0x0C000000, 0x0C000000, 0x0C000000, 0x0C000000, 0x0C000000, 0x0C000000, 0x0C000000 + .long 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed + .long 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed /* 1.3820238411426544189453125e-01 P7 */ + .long 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3 + .long 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3 /* -1.5122179687023162841796875e-01 P6 */ + .long 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12 + .long 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12 /* 1.4042308926582336425781250e-01 P5 */ + .long 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37 + .long 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37 /* -1.6472326219081878662109375e-01 P4 */ + .long 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190 + .long 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190 /* 2.0007920265197753906250000e-01 P3 */ + .long 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e + .long 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e /* -2.5004237890243530273437500e-01 P2 */ + .long 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94 + .long 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94 /* 3.3333265781402587890625000e-01 P1 */ + .long 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000 + .long 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000 /* -5.0000000000000000000000000e-01 P0 */ /* sLn2 = SP ln(2) */ .align 32 - .long 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218 + .long 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218 + .long 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218 + /* sHalf */ + .align 32 + .long 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000 + .long 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000 .align 32 .type __svml_satanh_data_internal, @object .size __svml_satanh_data_internal, .-__svml_satanh_data_internal |