/* Offsets for data table __svml_dhypot_data_internal
*/
-#define _dHiLoMask 0
-#define _dAbsMask 32
-#define _dOne 64
-#define _POLY_C5 96
-#define _POLY_C4 128
-#define _POLY_C3 160
-#define _POLY_C2 192
-#define _POLY_C1 224
-#define _LowBoundary 256
-#define _HighBoundary 288
+#define _dHiLoMask 0
+#define _dAbsMask 32
+#define _dOne 64
+#define _POLY_C5 96
+#define _POLY_C4 128
+#define _POLY_C3 160
+#define _POLY_C2 192
+#define _POLY_C1 224
+#define _LowBoundary 256
+#define _HighBoundary 288
#include <sysdep.h>
- .text
- .section .text.avx2,"ax",@progbits
+ .section .text.avx2, "ax", @progbits
ENTRY(_ZGVdN4vv_hypot_avx2)
- pushq %rbp
- cfi_def_cfa_offset(16)
- movq %rsp, %rbp
- cfi_def_cfa(6, 16)
- cfi_offset(6, -16)
- andq $-32, %rsp
- subq $128, %rsp
- vmovapd %ymm1, %ymm2
- vmovapd %ymm0, %ymm1
-
-/*
- * Defines
- * Implementation
- * Multiprecision branch for _HA_ only
- * _z = _VARG1 * _VARG1 + _VARG2 * _VARG2
- */
- vmulpd %ymm1, %ymm1, %ymm0
-
-/*
- * calculate fixing part _p
- * _p = (((_POLY_C5*_e + _POLY_C4)*_e +_POLY_C3)*_e +_POLY_C2)*_e + _POLY_C1
- * some parts of polynom are skipped for lower flav
- */
- vmovupd _POLY_C4+__svml_dhypot_data_internal(%rip), %ymm15
- vmovups _LowBoundary+__svml_dhypot_data_internal(%rip), %xmm4
- vfmadd231pd %ymm2, %ymm2, %ymm0
-
-/*
- * _s ~ 1.0/sqrt(_z)
- * _s2 ~ 1.0/(sqrt(_z)*sqrt(_z)) ~ 1.0/_z
- */
- vcvtpd2ps %ymm0, %xmm12
-
-/* Check _z exponent to be withing borders [3BC ; 441] else goto Callout */
- vextractf128 $1, %ymm0, %xmm3
- vrsqrtps %xmm12, %xmm13
- vshufps $221, %xmm3, %xmm0, %xmm5
- vcvtps2pd %xmm13, %ymm3
- vpcmpgtd %xmm5, %xmm4, %xmm6
- vpcmpgtd _HighBoundary+__svml_dhypot_data_internal(%rip), %xmm5, %xmm7
- vpor %xmm7, %xmm6, %xmm9
- vpshufd $80, %xmm9, %xmm8
- vmulpd %ymm3, %ymm3, %ymm14
- vpshufd $250, %xmm9, %xmm10
-
-/* _e[rror] ~ (1.0/_z + O) * _z - 1.0 */
- vfmsub213pd _dOne+__svml_dhypot_data_internal(%rip), %ymm0, %ymm14
- vfmadd213pd _POLY_C3+__svml_dhypot_data_internal(%rip), %ymm14, %ymm15
- vfmadd213pd _POLY_C2+__svml_dhypot_data_internal(%rip), %ymm14, %ymm15
- vfmadd213pd _POLY_C1+__svml_dhypot_data_internal(%rip), %ymm14, %ymm15
-
-/* result = _z * (1.0/sqrt(_z) + O) + _p * _e[rror] * _z */
- vmulpd %ymm15, %ymm14, %ymm14
- vmulpd %ymm14, %ymm3, %ymm15
- vmulpd %ymm15, %ymm0, %ymm4
- vfmadd213pd %ymm4, %ymm3, %ymm0
- vinsertf128 $1, %xmm10, %ymm8, %ymm11
- vmovmskpd %ymm11, %edx
-
-/* The end of implementation */
- testl %edx, %edx
-
-/* Go to special inputs processing branch */
- jne L(SPECIAL_VALUES_BRANCH)
- # LOE rbx r12 r13 r14 r15 edx ymm0 ymm1 ymm2
-
-/* Restore registers
- * and exit the function
- */
+ pushq %rbp
+ cfi_def_cfa_offset(16)
+ movq %rsp, %rbp
+ cfi_def_cfa(6, 16)
+ cfi_offset(6, -16)
+ andq $-32, %rsp
+ subq $128, %rsp
+ vmovapd %ymm1, %ymm2
+ vmovapd %ymm0, %ymm1
+
+ /*
+ * Defines
+ * Implementation
+ * Multiprecision branch for _HA_ only
+ * _z = _VARG1 * _VARG1 + _VARG2 * _VARG2
+ */
+ vmulpd %ymm1, %ymm1, %ymm0
+
+ /*
+ * calculate fixing part _p
+ * _p = (((_POLY_C5*_e + _POLY_C4)*_e +_POLY_C3)*_e +_POLY_C2)*_e + _POLY_C1
+ * some parts of polynom are skipped for lower flav
+ */
+ vmovupd _POLY_C4+__svml_dhypot_data_internal(%rip), %ymm15
+ vmovups _LowBoundary+__svml_dhypot_data_internal(%rip), %xmm4
+ vfmadd231pd %ymm2, %ymm2, %ymm0
+
+ /*
+ * _s ~ 1.0/sqrt(_z)
+ * _s2 ~ 1.0/(sqrt(_z)*sqrt(_z)) ~ 1.0/_z
+ */
+ vcvtpd2ps %ymm0, %xmm12
+
+ /* Check _z exponent to be withing borders [3BC ; 441] else goto Callout */
+ vextractf128 $1, %ymm0, %xmm3
+ vrsqrtps %xmm12, %xmm13
+ vshufps $221, %xmm3, %xmm0, %xmm5
+ vcvtps2pd %xmm13, %ymm3
+ vpcmpgtd %xmm5, %xmm4, %xmm6
+ vpcmpgtd _HighBoundary+__svml_dhypot_data_internal(%rip), %xmm5, %xmm7
+ vpor %xmm7, %xmm6, %xmm9
+ vpshufd $80, %xmm9, %xmm8
+ vmulpd %ymm3, %ymm3, %ymm14
+ vpshufd $250, %xmm9, %xmm10
+
+ /* _e[rror] ~ (1.0/_z + O) * _z - 1.0 */
+ vfmsub213pd _dOne+__svml_dhypot_data_internal(%rip), %ymm0, %ymm14
+ vfmadd213pd _POLY_C3+__svml_dhypot_data_internal(%rip), %ymm14, %ymm15
+ vfmadd213pd _POLY_C2+__svml_dhypot_data_internal(%rip), %ymm14, %ymm15
+ vfmadd213pd _POLY_C1+__svml_dhypot_data_internal(%rip), %ymm14, %ymm15
+
+ /* result = _z * (1.0/sqrt(_z) + O) + _p * _e[rror] * _z */
+ vmulpd %ymm15, %ymm14, %ymm14
+ vmulpd %ymm14, %ymm3, %ymm15
+ vmulpd %ymm15, %ymm0, %ymm4
+ vfmadd213pd %ymm4, %ymm3, %ymm0
+ vinsertf128 $1, %xmm10, %ymm8, %ymm11
+ vmovmskpd %ymm11, %edx
+
+ /* The end of implementation */
+ testl %edx, %edx
+
+ /* Go to special inputs processing branch */
+ jne L(SPECIAL_VALUES_BRANCH)
+ # LOE rbx r12 r13 r14 r15 edx ymm0 ymm1 ymm2
+
+ /* Restore registers
+ * and exit the function
+ */
L(EXIT):
- movq %rbp, %rsp
- popq %rbp
- cfi_def_cfa(7, 8)
- cfi_restore(6)
- ret
- cfi_def_cfa(6, 16)
- cfi_offset(6, -16)
-
-/* Branch to process
- * special inputs
- */
+ movq %rbp, %rsp
+ popq %rbp
+ cfi_def_cfa(7, 8)
+ cfi_restore(6)
+ ret
+ cfi_def_cfa(6, 16)
+ cfi_offset(6, -16)
+
+ /* Branch to process
+ * special inputs
+ */
L(SPECIAL_VALUES_BRANCH):
- vmovupd %ymm1, 32(%rsp)
- vmovupd %ymm2, 64(%rsp)
- vmovupd %ymm0, 96(%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: -112; DW_OP_plus) */
- .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 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: -120; DW_OP_plus) */
- .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 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: -128; DW_OP_plus) */
- .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22
- # LOE rbx r15 r12d r13d
-
-/* Range mask
- * bits check
- */
+ vmovupd %ymm1, 32(%rsp)
+ vmovupd %ymm2, 64(%rsp)
+ vmovupd %ymm0, 96(%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: -112; DW_OP_plus) */
+ .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 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: -120; DW_OP_plus) */
+ .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 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: -128; DW_OP_plus) */
+ .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22
+ # LOE rbx 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 r15 r12d r13d
+ /* Call scalar math function */
+ jc L(SCALAR_MATH_CALL)
+ # LOE rbx 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 r15 r12d r13d
-
- movq 16(%rsp), %r12
- cfi_restore(12)
- movq 8(%rsp), %r13
- cfi_restore(13)
- movq (%rsp), %r14
- cfi_restore(14)
- vmovupd 96(%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: -112; DW_OP_plus) */
- .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 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: -120; DW_OP_plus) */
- .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 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: -128; DW_OP_plus) */
- .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22
- # LOE rbx r12 r13 r14 r15 ymm0
-
-/* Scalar math fucntion call
- * to process special input
- */
+ incl %r12d
+ cmpl $4, %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)
+ vmovupd 96(%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: -112; DW_OP_plus) */
+ .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 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: -120; DW_OP_plus) */
+ .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 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: -128; DW_OP_plus) */
+ .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 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
- movsd 32(%rsp,%r14,8), %xmm0
- movsd 64(%rsp,%r14,8), %xmm1
- call hypot@PLT
- # LOE rbx r14 r15 r12d r13d xmm0
+ movl %r12d, %r14d
+ movsd 32(%rsp, %r14, 8), %xmm0
+ movsd 64(%rsp, %r14, 8), %xmm1
+ call hypot@PLT
+ # LOE rbx r14 r15 r12d r13d xmm0
- movsd %xmm0, 96(%rsp,%r14,8)
+ movsd %xmm0, 96(%rsp, %r14, 8)
-/* Process special inputs in loop */
- jmp L(SPECIAL_VALUES_LOOP)
- # LOE rbx r15 r12d r13d
+ /* Process special inputs in loop */
+ jmp L(SPECIAL_VALUES_LOOP)
+ # LOE rbx r15 r12d r13d
END(_ZGVdN4vv_hypot_avx2)
- .section .rodata, "a"
- .align 32
+ .section .rodata, "a"
+ .align 32
#ifdef __svml_dhypot_data_internal_typedef
typedef unsigned int VUINT32;
-typedef struct
-{
- __declspec(align(32)) VUINT32 _dHiLoMask[4][2];
- __declspec(align(32)) VUINT32 _dAbsMask[4][2];
- __declspec(align(32)) VUINT32 _dOne[4][2];
- __declspec(align(32)) VUINT32 _POLY_C5[4][2];
- __declspec(align(32)) VUINT32 _POLY_C4[4][2];
- __declspec(align(32)) VUINT32 _POLY_C3[4][2];
- __declspec(align(32)) VUINT32 _POLY_C2[4][2];
- __declspec(align(32)) VUINT32 _POLY_C1[4][2];
- __declspec(align(32)) VUINT32 _LowBoundary[8][1];
- __declspec(align(32)) VUINT32 _HighBoundary[8][1];
+typedef struct {
+ __declspec(align(32)) VUINT32 _dHiLoMask[4][2];
+ __declspec(align(32)) VUINT32 _dAbsMask[4][2];
+ __declspec(align(32)) VUINT32 _dOne[4][2];
+ __declspec(align(32)) VUINT32 _POLY_C5[4][2];
+ __declspec(align(32)) VUINT32 _POLY_C4[4][2];
+ __declspec(align(32)) VUINT32 _POLY_C3[4][2];
+ __declspec(align(32)) VUINT32 _POLY_C2[4][2];
+ __declspec(align(32)) VUINT32 _POLY_C1[4][2];
+ __declspec(align(32)) VUINT32 _LowBoundary[8][1];
+ __declspec(align(32)) VUINT32 _HighBoundary[8][1];
} __svml_dhypot_data_internal;
#endif
__svml_dhypot_data_internal:
- /* legacy algorithm */
- .quad 0xffffc00000000000, 0xffffc00000000000, 0xffffc00000000000, 0xffffc00000000000 /* _dHiLoMask */
- .align 32
- .quad 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff /* _dAbsMask */
- .align 32
- .quad 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000 /* _dOne */
- .align 32
- .quad 0xBFCF800000000000, 0xBFCF800000000000, 0xBFCF800000000000, 0xBFCF800000000000 /* _POLY_C5 */
- .align 32
- .quad 0x3FD1800000000000, 0x3FD1800000000000, 0x3FD1800000000000, 0x3FD1800000000000 /* _POLY_C4 */
- .align 32
- .quad 0xBFD4000000000000, 0xBFD4000000000000, 0xBFD4000000000000, 0xBFD4000000000000 /* _POLY_C3 */
- .align 32
- .quad 0x3FD8000000000000, 0x3FD8000000000000, 0x3FD8000000000000, 0x3FD8000000000000 /* _POLY_C2 */
- .align 32
- .quad 0xBFE0000000000000, 0xBFE0000000000000, 0xBFE0000000000000, 0xBFE0000000000000 /* _POLY_C1 */
- .align 32
- .long 0x3BC00000, 0x3BC00000, 0x3BC00000, 0x3BC00000, 0x3BC00000, 0x3BC00000, 0x3BC00000, 0x3BC00000 /* _LowBoundary */
- .align 32
- .long 0x44100000, 0x44100000, 0x44100000, 0x44100000, 0x44100000, 0x44100000, 0x44100000, 0x44100000 /* _HighBoundary */
- .align 32
- .type __svml_dhypot_data_internal,@object
- .size __svml_dhypot_data_internal,.-__svml_dhypot_data_internal
+ /* legacy algorithm */
+ .quad 0xffffc00000000000, 0xffffc00000000000, 0xffffc00000000000, 0xffffc00000000000 /* _dHiLoMask */
+ .align 32
+ .quad 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff /* _dAbsMask */
+ .align 32
+ .quad 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000 /* _dOne */
+ .align 32
+ .quad 0xBFCF800000000000, 0xBFCF800000000000, 0xBFCF800000000000, 0xBFCF800000000000 /* _POLY_C5 */
+ .align 32
+ .quad 0x3FD1800000000000, 0x3FD1800000000000, 0x3FD1800000000000, 0x3FD1800000000000 /* _POLY_C4 */
+ .align 32
+ .quad 0xBFD4000000000000, 0xBFD4000000000000, 0xBFD4000000000000, 0xBFD4000000000000 /* _POLY_C3 */
+ .align 32
+ .quad 0x3FD8000000000000, 0x3FD8000000000000, 0x3FD8000000000000, 0x3FD8000000000000 /* _POLY_C2 */
+ .align 32
+ .quad 0xBFE0000000000000, 0xBFE0000000000000, 0xBFE0000000000000, 0xBFE0000000000000 /* _POLY_C1 */
+ .align 32
+ .long 0x3BC00000, 0x3BC00000, 0x3BC00000, 0x3BC00000, 0x3BC00000, 0x3BC00000, 0x3BC00000, 0x3BC00000 /* _LowBoundary */
+ .align 32
+ .long 0x44100000, 0x44100000, 0x44100000, 0x44100000, 0x44100000, 0x44100000, 0x44100000, 0x44100000 /* _HighBoundary */
+ .align 32
+ .type __svml_dhypot_data_internal, @object
+ .size __svml_dhypot_data_internal, .-__svml_dhypot_data_internal
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