* exp10(x) = 2^x/log10(2) = 2^n * (1 + T[j]) * (1 + P(y))
* where
* x = m*log10(2)/K + y, y in [-log10(2)/K..log10(2)/K]
- * m = n*K + j, m,n,j - signed integer, j in [-K/2..K/2]
+ * m = n*K + j, m, n,j - signed integer, j in [-K/2..K/2]
*
* values of 2^j/K are tabulated
*
/* Offsets for data table __svml_sexp10_data_internal
*/
-#define _sT 0
-#define _sLg2_10 128
-#define _sShifter 144
-#define _sInvLg2_10hi 160
-#define _sInvLg2_10lo 176
-#define _sPC0 192
-#define _sPC1 208
-#define _sPC2 224
-#define _iIndexMask 240
-#define _iAbsMask 256
-#define _iDomainRange 272
+#define _sT 0
+#define _sLg2_10 128
+#define _sShifter 144
+#define _sInvLg2_10hi 160
+#define _sInvLg2_10lo 176
+#define _sPC0 192
+#define _sPC1 208
+#define _sPC2 224
+#define _iIndexMask 240
+#define _iAbsMask 256
+#define _iDomainRange 272
#include <sysdep.h>
- .text
- .section .text.sse4,"ax",@progbits
+ .section .text.sse4, "ax", @progbits
ENTRY(_ZGVbN4v_exp10f_sse4)
- subq $72, %rsp
- cfi_def_cfa_offset(80)
- movaps %xmm0, %xmm4
-
-/* Load arument */
- movups _sLg2_10+__svml_sexp10_data_internal(%rip), %xmm2
- lea __svml_sexp10_data_internal(%rip), %r8
- mulps %xmm4, %xmm2
- movups _sShifter+__svml_sexp10_data_internal(%rip), %xmm5
-
-/* R */
- movups _sInvLg2_10hi+__svml_sexp10_data_internal(%rip), %xmm14
- addps %xmm5, %xmm2
- movaps %xmm2, %xmm1
- movups _sInvLg2_10lo+__svml_sexp10_data_internal(%rip), %xmm15
- subps %xmm5, %xmm1
- mulps %xmm1, %xmm14
- movaps %xmm4, %xmm5
- mulps %xmm1, %xmm15
- subps %xmm14, %xmm5
-
-/*
- * Polynomial
- * exp10 = 2^N*(Tj+Tj*poly)
- * poly(sN) = {1+later} a0+a1*sR
- */
- movups _sPC2+__svml_sexp10_data_internal(%rip), %xmm1
- subps %xmm15, %xmm5
- mulps %xmm5, %xmm1
- movdqu _iIndexMask+__svml_sexp10_data_internal(%rip), %xmm3
-
-/* Index and lookup */
- movdqa %xmm3, %xmm10
-
-/* remove index bits */
- pandn %xmm2, %xmm3
- pand %xmm2, %xmm10
-
-/* 2^N */
- pslld $18, %xmm3
-
-/* iIndex *= sizeof(S); */
- pslld $2, %xmm10
- addps _sPC1+__svml_sexp10_data_internal(%rip), %xmm1
- movd %xmm10, %edx
- pshufd $1, %xmm10, %xmm7
- pshufd $2, %xmm10, %xmm9
- pshufd $3, %xmm10, %xmm11
- movd %xmm7, %ecx
- movd %xmm9, %esi
- movd %xmm11, %edi
-
-/* Check for overflow\underflow */
- movdqu _iAbsMask+__svml_sexp10_data_internal(%rip), %xmm6
- pand %xmm4, %xmm6
- mulps %xmm1, %xmm5
- movslq %edx, %rdx
- addps _sPC0+__svml_sexp10_data_internal(%rip), %xmm5
- movslq %ecx, %rcx
- movslq %esi, %rsi
- movslq %edi, %rdi
- movd (%r8,%rdx), %xmm0
- movd (%r8,%rcx), %xmm8
- movd (%r8,%rsi), %xmm13
- movd (%r8,%rdi), %xmm12
- punpckldq %xmm8, %xmm0
- punpckldq %xmm12, %xmm13
- punpcklqdq %xmm13, %xmm0
-
-/* Tj_l+Tj_h*poly */
- mulps %xmm0, %xmm5
- pcmpgtd _iDomainRange+__svml_sexp10_data_internal(%rip), %xmm6
- addps %xmm5, %xmm0
- movmskps %xmm6, %eax
-
-/* quick mul 2^N */
- paddd %xmm3, %xmm0
-
-/* Finish */
- testl %eax, %eax
-
-/* Go to special inputs processing branch */
- jne L(SPECIAL_VALUES_BRANCH)
- # LOE rbx rbp r12 r13 r14 r15 eax xmm0 xmm4
-
-/* Restore registers
- * and exit the function
- */
+ subq $72, %rsp
+ cfi_def_cfa_offset(80)
+ movaps %xmm0, %xmm4
+
+ /* Load arument */
+ movups _sLg2_10+__svml_sexp10_data_internal(%rip), %xmm2
+ lea __svml_sexp10_data_internal(%rip), %r8
+ mulps %xmm4, %xmm2
+ movups _sShifter+__svml_sexp10_data_internal(%rip), %xmm5
+
+ /* R */
+ movups _sInvLg2_10hi+__svml_sexp10_data_internal(%rip), %xmm14
+ addps %xmm5, %xmm2
+ movaps %xmm2, %xmm1
+ movups _sInvLg2_10lo+__svml_sexp10_data_internal(%rip), %xmm15
+ subps %xmm5, %xmm1
+ mulps %xmm1, %xmm14
+ movaps %xmm4, %xmm5
+ mulps %xmm1, %xmm15
+ subps %xmm14, %xmm5
+
+ /*
+ * Polynomial
+ * exp10 = 2^N*(Tj+Tj*poly)
+ * poly(sN) = {1+later} a0+a1*sR
+ */
+ movups _sPC2+__svml_sexp10_data_internal(%rip), %xmm1
+ subps %xmm15, %xmm5
+ mulps %xmm5, %xmm1
+ movdqu _iIndexMask+__svml_sexp10_data_internal(%rip), %xmm3
+
+ /* Index and lookup */
+ movdqa %xmm3, %xmm10
+
+ /* remove index bits */
+ pandn %xmm2, %xmm3
+ pand %xmm2, %xmm10
+
+ /* 2^N */
+ pslld $18, %xmm3
+
+ /* iIndex *= sizeof(S); */
+ pslld $2, %xmm10
+ addps _sPC1+__svml_sexp10_data_internal(%rip), %xmm1
+ movd %xmm10, %edx
+ pshufd $1, %xmm10, %xmm7
+ pshufd $2, %xmm10, %xmm9
+ pshufd $3, %xmm10, %xmm11
+ movd %xmm7, %ecx
+ movd %xmm9, %esi
+ movd %xmm11, %edi
+
+ /* Check for overflow\underflow */
+ movdqu _iAbsMask+__svml_sexp10_data_internal(%rip), %xmm6
+ pand %xmm4, %xmm6
+ mulps %xmm1, %xmm5
+ movslq %edx, %rdx
+ addps _sPC0+__svml_sexp10_data_internal(%rip), %xmm5
+ movslq %ecx, %rcx
+ movslq %esi, %rsi
+ movslq %edi, %rdi
+ movd (%r8, %rdx), %xmm0
+ movd (%r8, %rcx), %xmm8
+ movd (%r8, %rsi), %xmm13
+ movd (%r8, %rdi), %xmm12
+ punpckldq %xmm8, %xmm0
+ punpckldq %xmm12, %xmm13
+ punpcklqdq %xmm13, %xmm0
+
+ /* Tj_l+Tj_h*poly */
+ mulps %xmm0, %xmm5
+ pcmpgtd _iDomainRange+__svml_sexp10_data_internal(%rip), %xmm6
+ addps %xmm5, %xmm0
+ movmskps %xmm6, %eax
+
+ /* quick mul 2^N */
+ paddd %xmm3, %xmm0
+
+ /* Finish */
+ testl %eax, %eax
+
+ /* Go to special inputs processing branch */
+ jne L(SPECIAL_VALUES_BRANCH)
+ # LOE rbx rbp r12 r13 r14 r15 eax xmm0 xmm4
+
+ /* Restore registers
+ * and exit the function
+ */
L(EXIT):
- addq $72, %rsp
- cfi_def_cfa_offset(8)
- ret
- cfi_def_cfa_offset(80)
+ addq $72, %rsp
+ cfi_def_cfa_offset(8)
+ ret
+ cfi_def_cfa_offset(80)
-/* Branch to process
- * special inputs
- */
+ /* Branch to process
+ * special inputs
+ */
L(SPECIAL_VALUES_BRANCH):
- movups %xmm4, 32(%rsp)
- movups %xmm0, 48(%rsp)
- # LOE rbx rbp r12 r13 r14 r15 eax
-
- xorl %edx, %edx
- movq %r12, 16(%rsp)
- cfi_offset(12, -64)
- movl %edx, %r12d
- movq %r13, 8(%rsp)
- cfi_offset(13, -72)
- movl %eax, %r13d
- movq %r14, (%rsp)
- cfi_offset(14, -80)
- # LOE rbx rbp r15 r12d r13d
-
-/* Range mask
- * bits check
- */
+ movups %xmm4, 32(%rsp)
+ movups %xmm0, 48(%rsp)
+ # LOE rbx rbp r12 r13 r14 r15 eax
+
+ xorl %edx, %edx
+ movq %r12, 16(%rsp)
+ cfi_offset(12, -64)
+ movl %edx, %r12d
+ movq %r13, 8(%rsp)
+ cfi_offset(13, -72)
+ movl %eax, %r13d
+ movq %r14, (%rsp)
+ cfi_offset(14, -80)
+ # LOE rbx rbp r15 r12d r13d
+
+ /* Range mask
+ * bits check
+ */
L(RANGEMASK_CHECK):
- btl %r12d, %r13d
+ btl %r12d, %r13d
-/* Call scalar math function */
- jc L(SCALAR_MATH_CALL)
- # LOE rbx rbp r15 r12d r13d
+ /* Call scalar math function */
+ jc L(SCALAR_MATH_CALL)
+ # LOE rbx rbp r15 r12d r13d
-/* Special inputs
- * processing loop
- */
+ /* Special inputs
+ * processing loop
+ */
L(SPECIAL_VALUES_LOOP):
- incl %r12d
- cmpl $4, %r12d
-
-/* Check bits in range mask */
- jl L(RANGEMASK_CHECK)
- # LOE rbx rbp r15 r12d r13d
-
- movq 16(%rsp), %r12
- cfi_restore(12)
- movq 8(%rsp), %r13
- cfi_restore(13)
- movq (%rsp), %r14
- cfi_restore(14)
- movups 48(%rsp), %xmm0
-
-/* Go to exit */
- jmp L(EXIT)
- cfi_offset(12, -64)
- cfi_offset(13, -72)
- cfi_offset(14, -80)
- # LOE rbx rbp r12 r13 r14 r15 xmm0
-
-/* Scalar math fucntion call
- * to process special input
- */
+ incl %r12d
+ cmpl $4, %r12d
+
+ /* Check bits in range mask */
+ jl L(RANGEMASK_CHECK)
+ # LOE rbx rbp r15 r12d r13d
+
+ movq 16(%rsp), %r12
+ cfi_restore(12)
+ movq 8(%rsp), %r13
+ cfi_restore(13)
+ movq (%rsp), %r14
+ cfi_restore(14)
+ movups 48(%rsp), %xmm0
+
+ /* Go to exit */
+ jmp L(EXIT)
+ cfi_offset(12, -64)
+ cfi_offset(13, -72)
+ cfi_offset(14, -80)
+ # LOE rbx rbp r12 r13 r14 r15 xmm0
+
+ /* Scalar math fucntion call
+ * to process special input
+ */
L(SCALAR_MATH_CALL):
- movl %r12d, %r14d
- movss 32(%rsp,%r14,4), %xmm0
- call exp10f@PLT
- # LOE rbx rbp r14 r15 r12d r13d xmm0
+ movl %r12d, %r14d
+ movss 32(%rsp, %r14, 4), %xmm0
+ call exp10f@PLT
+ # LOE rbx rbp r14 r15 r12d r13d xmm0
- movss %xmm0, 48(%rsp,%r14,4)
+ movss %xmm0, 48(%rsp, %r14, 4)
-/* Process special inputs in loop */
- jmp L(SPECIAL_VALUES_LOOP)
- # LOE rbx rbp r15 r12d r13d
+ /* Process special inputs in loop */
+ jmp L(SPECIAL_VALUES_LOOP)
+ # LOE rbx rbp r15 r12d r13d
END(_ZGVbN4v_exp10f_sse4)
- .section .rodata, "a"
- .align 16
+ .section .rodata, "a"
+ .align 16
#ifdef __svml_sexp10_data_internal_typedef
typedef unsigned int VUINT32;
-typedef struct
-{
- __declspec(align(16)) VUINT32 _sT[(1<<5)][1];
- __declspec(align(16)) VUINT32 _sLg2_10[4][1];
- __declspec(align(16)) VUINT32 _sShifter[4][1];
- __declspec(align(16)) VUINT32 _sInvLg2_10hi[4][1];
- __declspec(align(16)) VUINT32 _sInvLg2_10lo[4][1];
- __declspec(align(16)) VUINT32 _sPC0[4][1];
- __declspec(align(16)) VUINT32 _sPC1[4][1];
- __declspec(align(16)) VUINT32 _sPC2[4][1];
- __declspec(align(16)) VUINT32 _iIndexMask[4][1];
- __declspec(align(16)) VUINT32 _iAbsMask[4][1];
- __declspec(align(16)) VUINT32 _iDomainRange[4][1];
+typedef struct {
+ __declspec(align(16)) VUINT32 _sT[(1<<5)][1];
+ __declspec(align(16)) VUINT32 _sLg2_10[4][1];
+ __declspec(align(16)) VUINT32 _sShifter[4][1];
+ __declspec(align(16)) VUINT32 _sInvLg2_10hi[4][1];
+ __declspec(align(16)) VUINT32 _sInvLg2_10lo[4][1];
+ __declspec(align(16)) VUINT32 _sPC0[4][1];
+ __declspec(align(16)) VUINT32 _sPC1[4][1];
+ __declspec(align(16)) VUINT32 _sPC2[4][1];
+ __declspec(align(16)) VUINT32 _iIndexMask[4][1];
+ __declspec(align(16)) VUINT32 _iAbsMask[4][1];
+ __declspec(align(16)) VUINT32 _iDomainRange[4][1];
} __svml_sexp10_data_internal;
#endif
__svml_sexp10_data_internal:
- /*== _sT ==*/
- .long 0x3f800000 // 2^( 0 /32 )
- .long 0x3f82cd87 // 2^( 1 /32 )
- .long 0x3f85aac3 // 2^( 2 /32 )
- .long 0x3f88980f // 2^( 3 /32 )
- .long 0x3f8b95c2 // 2^( 4 /32 )
- .long 0x3f8ea43a // 2^( 5 /32 )
- .long 0x3f91c3d3 // 2^( 6 /32 )
- .long 0x3f94f4f0 // 2^( 7 /32 )
- .long 0x3f9837f0 // 2^( 8 /32 )
- .long 0x3f9b8d3a // 2^( 9 /32 )
- .long 0x3f9ef532 // 2^( 10/32 )
- .long 0x3fa27043 // 2^( 11/32 )
- .long 0x3fa5fed7 // 2^( 12/32 )
- .long 0x3fa9a15b // 2^( 13/32 )
- .long 0x3fad583f // 2^( 14/32 )
- .long 0x3fb123f6 // 2^( 15/32 )
- .long 0x3fb504f3 // 2^( 16/32 )
- .long 0x3fb8fbaf // 2^( 17/32 )
- .long 0x3fbd08a4 // 2^( 18/32 )
- .long 0x3fc12c4d // 2^( 19/32 )
- .long 0x3fc5672a // 2^( 20/32 )
- .long 0x3fc9b9be // 2^( 21/32 )
- .long 0x3fce248c // 2^( 22/32 )
- .long 0x3fd2a81e // 2^( 23/32 )
- .long 0x3fd744fd // 2^( 24/32 )
- .long 0x3fdbfbb8 // 2^( 25/32 )
- .long 0x3fe0ccdf // 2^( 26/32 )
- .long 0x3fe5b907 // 2^( 27/32 )
- .long 0x3feac0c7 // 2^( 28/32 )
- .long 0x3fefe4ba // 2^( 29/32 )
- .long 0x3ff5257d // 2^( 30/32 )
- .long 0x3ffa83b3 // 2^( 31/32 )
- .align 16
- .long 0x42d49a78, 0x42d49a78, 0x42d49a78, 0x42d49a78 /* _sLg2_10*2^K */
- .align 16
- .long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000 /* _sShifter) */
- .align 16
- .long 0x3c1a2000, 0x3c1a2000, 0x3c1a2000, 0x3c1a2000 /* _sInvLg2_10hi/2^K hi (24-K-7) bits*/
- .align 16
- .long 0x341a84fc, 0x341a84fc, 0x341a84fc, 0x341a84fc /* _sInvLg2_10lo/2^K lo bits */
- // otherwise exp10(0) won't produce exact 1.0
- .align 16
- .long 0x2fecc868, 0x2fecc868, 0x2fecc868, 0x2fecc868 /* _sPC0 */
- .align 16
- .long 0x40135e1b, 0x40135e1b, 0x40135e1b, 0x40135e1b /* _sPC1 */
- .align 16
- .long 0x4029a8d2, 0x4029a8d2, 0x4029a8d2, 0x4029a8d2 /* _sPC2 */
- .align 16
- .long 0x0000001f, 0x0000001f, 0x0000001f, 0x0000001f /* _iIndexMask =(2^K-1)*/
- //common
- .align 16
- .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _iAbsMask */
- .align 16
- .long 0x4217b818, 0x4217b818, 0x4217b818, 0x4217b818 /* _iDomainRange=-log10(max_denormal=0x007fffff) RZ */
- .align 16
- .type __svml_sexp10_data_internal,@object
- .size __svml_sexp10_data_internal,.-__svml_sexp10_data_internal
+ /* _sT */
+ .long 0x3f800000 // 2^( 0 /32 )
+ .long 0x3f82cd87 // 2^( 1 /32 )
+ .long 0x3f85aac3 // 2^( 2 /32 )
+ .long 0x3f88980f // 2^( 3 /32 )
+ .long 0x3f8b95c2 // 2^( 4 /32 )
+ .long 0x3f8ea43a // 2^( 5 /32 )
+ .long 0x3f91c3d3 // 2^( 6 /32 )
+ .long 0x3f94f4f0 // 2^( 7 /32 )
+ .long 0x3f9837f0 // 2^( 8 /32 )
+ .long 0x3f9b8d3a // 2^( 9 /32 )
+ .long 0x3f9ef532 // 2^( 10/32 )
+ .long 0x3fa27043 // 2^( 11/32 )
+ .long 0x3fa5fed7 // 2^( 12/32 )
+ .long 0x3fa9a15b // 2^( 13/32 )
+ .long 0x3fad583f // 2^( 14/32 )
+ .long 0x3fb123f6 // 2^( 15/32 )
+ .long 0x3fb504f3 // 2^( 16/32 )
+ .long 0x3fb8fbaf // 2^( 17/32 )
+ .long 0x3fbd08a4 // 2^( 18/32 )
+ .long 0x3fc12c4d // 2^( 19/32 )
+ .long 0x3fc5672a // 2^( 20/32 )
+ .long 0x3fc9b9be // 2^( 21/32 )
+ .long 0x3fce248c // 2^( 22/32 )
+ .long 0x3fd2a81e // 2^( 23/32 )
+ .long 0x3fd744fd // 2^( 24/32 )
+ .long 0x3fdbfbb8 // 2^( 25/32 )
+ .long 0x3fe0ccdf // 2^( 26/32 )
+ .long 0x3fe5b907 // 2^( 27/32 )
+ .long 0x3feac0c7 // 2^( 28/32 )
+ .long 0x3fefe4ba // 2^( 29/32 )
+ .long 0x3ff5257d // 2^( 30/32 )
+ .long 0x3ffa83b3 // 2^( 31/32 )
+ .align 16
+ .long 0x42d49a78, 0x42d49a78, 0x42d49a78, 0x42d49a78 /* _sLg2_10*2^K */
+ .align 16
+ .long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000 /* _sShifter) */
+ .align 16
+ .long 0x3c1a2000, 0x3c1a2000, 0x3c1a2000, 0x3c1a2000 /* _sInvLg2_10hi/2^K hi (24-K-7) bits */
+ .align 16
+ .long 0x341a84fc, 0x341a84fc, 0x341a84fc, 0x341a84fc /* _sInvLg2_10lo/2^K lo bits */
+ // otherwise exp10(0) won't produce exact 1.0
+ .align 16
+ .long 0x2fecc868, 0x2fecc868, 0x2fecc868, 0x2fecc868 /* _sPC0 */
+ .align 16
+ .long 0x40135e1b, 0x40135e1b, 0x40135e1b, 0x40135e1b /* _sPC1 */
+ .align 16
+ .long 0x4029a8d2, 0x4029a8d2, 0x4029a8d2, 0x4029a8d2 /* _sPC2 */
+ .align 16
+ .long 0x0000001f, 0x0000001f, 0x0000001f, 0x0000001f /* _iIndexMask =(2^K-1) */
+ //common
+ .align 16
+ .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _iAbsMask */
+ .align 16
+ .long 0x4217b818, 0x4217b818, 0x4217b818, 0x4217b818 /* _iDomainRange=-log10(max_denormal=0x007fffff) RZ */
+ .align 16
+ .type __svml_sexp10_data_internal, @object
+ .size __svml_sexp10_data_internal, .-__svml_sexp10_data_internal
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