@@ -16,179 +16,164 @@
License along with the GNU C Library; if not, see
<https://www.gnu.org/licenses/>. */
+
+
+#define LOCAL_DATA_NAME __svml_slog_data_internal
+#include "svml_s_common_sse4_rodata_offsets.h"
+
+#define _sPoly_7 0
+#define _sPoly_6 16
+#define _sPoly_5 32
+#define _sPoly_4 48
+#define _sPoly_3 64
+#define _sPoly_2 80
+
#include <sysdep.h>
-#include "svml_s_logf_data.h"
.section .text.sse4, "ax", @progbits
ENTRY (_ZGVbN4v_logf_sse4)
-/*
- ALGORITHM DESCRIPTION:
-
- log(x) = exponent_x*log(2) + log(mantissa_x), if mantissa_x<4/3
- log(x) = (exponent_x+1)*log(2) + log(0.5*mantissa_x), if mantissa_x>4/3
-
- R = mantissa_x - 1, if mantissa_x<4/3
- R = 0.5*mantissa_x - 1, if mantissa_x>4/3
- |R|< 1/3
-
- log(1+R) is approximated as a polynomial: degree 9 for 1-ulp,
- degree 7 for 4-ulp, degree 3 for half-precision. */
-
- pushq %rbp
- cfi_adjust_cfa_offset (8)
- cfi_rel_offset (%rbp, 0)
- movq %rsp, %rbp
- cfi_def_cfa_register (%rbp)
- andq $-64, %rsp
- subq $320, %rsp
-
-/* reduction: compute r,n */
- movaps %xmm0, %xmm2
-
-/* check for working range,
- set special argument mask (denormals/zero/Inf/NaN) */
- movq __svml_slog_data@GOTPCREL(%rip), %rax
- movdqu _iHiDelta(%rax), %xmm1
- movdqu _iLoRange(%rax), %xmm4
- paddd %xmm0, %xmm1
- movdqu _iBrkValue(%rax), %xmm3
- pcmpgtd %xmm1, %xmm4
- movdqu _iOffExpoMask(%rax), %xmm1
- psubd %xmm3, %xmm2
- pand %xmm2, %xmm1
-
-/* exponent_x (mantissa_x<4/3) or exponent_x+1 (mantissa_x>4/3) */
- psrad $23, %xmm2
- paddd %xmm3, %xmm1
- movups _sPoly_7(%rax), %xmm5
-
-/* mantissa_x (mantissa_x<4/3), or 0.5*mantissa_x (mantissa_x>4/3) */
- cvtdq2ps %xmm2, %xmm6
-
-/* reduced argument R */
- subps _sOne(%rax), %xmm1
- movmskps %xmm4, %ecx
-
-/* final reconstruction:
- add exponent_value*log2 to polynomial result */
- mulps _sLn2(%rax), %xmm6
-
-/* polynomial evaluation starts here */
- mulps %xmm1, %xmm5
- addps _sPoly_6(%rax), %xmm5
- mulps %xmm1, %xmm5
- addps _sPoly_5(%rax), %xmm5
- mulps %xmm1, %xmm5
- addps _sPoly_4(%rax), %xmm5
- mulps %xmm1, %xmm5
- addps _sPoly_3(%rax), %xmm5
- mulps %xmm1, %xmm5
- addps _sPoly_2(%rax), %xmm5
- mulps %xmm1, %xmm5
- addps _sPoly_1(%rax), %xmm5
- mulps %xmm1, %xmm5
-
-/* polynomial evaluation end */
- mulps %xmm1, %xmm5
- addps %xmm5, %xmm1
- addps %xmm6, %xmm1
- testl %ecx, %ecx
- jne .LBL_1_3
-
-.LBL_1_2:
- cfi_remember_state
- movdqa %xmm1, %xmm0
- movq %rbp, %rsp
- cfi_def_cfa_register (%rsp)
- popq %rbp
- cfi_adjust_cfa_offset (-8)
- cfi_restore (%rbp)
- ret
-
-.LBL_1_3:
- cfi_restore_state
- movups %xmm0, 192(%rsp)
- movups %xmm1, 256(%rsp)
- je .LBL_1_2
-
- xorb %dl, %dl
- xorl %eax, %eax
- movups %xmm8, 112(%rsp)
- movups %xmm9, 96(%rsp)
- movups %xmm10, 80(%rsp)
- movups %xmm11, 64(%rsp)
- movups %xmm12, 48(%rsp)
- movups %xmm13, 32(%rsp)
- movups %xmm14, 16(%rsp)
- movups %xmm15, (%rsp)
- movq %rsi, 136(%rsp)
- movq %rdi, 128(%rsp)
- movq %r12, 168(%rsp)
- cfi_offset_rel_rsp (12, 168)
- movb %dl, %r12b
- movq %r13, 160(%rsp)
- cfi_offset_rel_rsp (13, 160)
- movl %ecx, %r13d
- movq %r14, 152(%rsp)
- cfi_offset_rel_rsp (14, 152)
- movl %eax, %r14d
- movq %r15, 144(%rsp)
- cfi_offset_rel_rsp (15, 144)
- cfi_remember_state
-
-.LBL_1_6:
- btl %r14d, %r13d
- jc .LBL_1_12
-
-.LBL_1_7:
- lea 1(%r14), %esi
- btl %esi, %r13d
- jc .LBL_1_10
-
-.LBL_1_8:
- incb %r12b
- addl $2, %r14d
- cmpb $16, %r12b
- jb .LBL_1_6
-
- movups 112(%rsp), %xmm8
- movups 96(%rsp), %xmm9
- movups 80(%rsp), %xmm10
- movups 64(%rsp), %xmm11
- movups 48(%rsp), %xmm12
- movups 32(%rsp), %xmm13
- movups 16(%rsp), %xmm14
- movups (%rsp), %xmm15
- movq 136(%rsp), %rsi
- movq 128(%rsp), %rdi
- movq 168(%rsp), %r12
- cfi_restore (%r12)
- movq 160(%rsp), %r13
- cfi_restore (%r13)
- movq 152(%rsp), %r14
- cfi_restore (%r14)
- movq 144(%rsp), %r15
- cfi_restore (%r15)
- movups 256(%rsp), %xmm1
- jmp .LBL_1_2
-
-.LBL_1_10:
- cfi_restore_state
- movzbl %r12b, %r15d
- movss 196(%rsp,%r15,8), %xmm0
-
- call JUMPTARGET(logf)
-
- movss %xmm0, 260(%rsp,%r15,8)
- jmp .LBL_1_8
-
-.LBL_1_12:
- movzbl %r12b, %r15d
- movss 192(%rsp,%r15,8), %xmm0
-
- call JUMPTARGET(logf)
-
- movss %xmm0, 256(%rsp,%r15,8)
- jmp .LBL_1_7
-
+ movdqu COMMON_DATA(_ILoRange)(%rip), %xmm1
+ /* ALGORITHM DESCRIPTION:
+ if mantissa_x<4/3
+ log(x) = exponent_x*log(2) + log(mantissa_x)
+ if mantissa_x>4/3
+ log(x) = (exponent_x+1)*log(2) + log(0.5*mantissa_x)
+
+ R = mantissa_x - 1, if mantissa_x<4/3
+ R = 0.5*mantissa_x - 1, if mantissa_x>4/3
+ |R|< 1/3
+
+ log(1+R) is approximated as a polynomial: degree 9 for
+ 1-ulp, degree 7 for 4-ulp, degree 3 for half-precision. */
+
+ /* check for working range, set special argument mask
+ (denormals/zero/Inf/NaN). */
+ movdqu COMMON_DATA(_NotiOffExpoMask)(%rip), %xmm2
+ movaps %xmm0, %xmm3
+ psubd %xmm2, %xmm3
+ pcmpgtd %xmm3, %xmm1
+ movmskps %xmm1, %eax
+
+ movdqu COMMON_DATA(_IBrkValue)(%rip), %xmm1
+ movaps %xmm0, %xmm3
+ psubd %xmm1, %xmm0
+ pandn %xmm0, %xmm2
+ paddd %xmm1, %xmm2
+ /* reduced argument R. */
+ subps COMMON_DATA(_OneF)(%rip), %xmm2
+ /* exponent_x (mantissa_x<4/3),
+ or exponent_x+1 (mantissa_x>4/3). */
+ psrad $0x17, %xmm0
+ /* mantissa_x (mantissa_x<4/3),
+ or 0.5 mantissa_x (mantissa_x>4/3). */
+ cvtdq2ps %xmm0, %xmm0
+ /* final reconstruction: add exponent_value * log2 to polynomial
+ result. */
+ mulps COMMON_DATA(_Ln2)(%rip), %xmm0
+ movups LOCAL_DATA(_sPoly_7)(%rip), %xmm1
+ /* polynomial evaluation starts here. */
+ mulps %xmm2, %xmm1
+ addps LOCAL_DATA(_sPoly_6)(%rip), %xmm1
+ mulps %xmm2, %xmm1
+ addps LOCAL_DATA(_sPoly_5)(%rip), %xmm1
+ mulps %xmm2, %xmm1
+ addps LOCAL_DATA(_sPoly_4)(%rip), %xmm1
+ mulps %xmm2, %xmm1
+ addps LOCAL_DATA(_sPoly_3)(%rip), %xmm1
+ mulps %xmm2, %xmm1
+ addps LOCAL_DATA(_sPoly_2)(%rip), %xmm1
+ mulps %xmm2, %xmm1
+ addps COMMON_DATA(_Neg5F)(%rip), %xmm1
+ mulps %xmm2, %xmm1
+ /* polynomial evaluation end. */
+ mulps %xmm2, %xmm1
+ addps %xmm1, %xmm2
+ addps %xmm2, %xmm0
+ testl %eax, %eax
+ jne L(SPECIAL_VALUES_BRANCH)
+ ret
+
+ /* Cold case. edx has 1s where there was a special value that
+ more so than speed here. */
+L(SPECIAL_VALUES_BRANCH):
+ /* Stack coming in 16-byte aligned. Set 8-byte misaligned so on
+ call entry will be 16-byte aligned. */
+ subq $0x38, %rsp
+ movups %xmm0, 24(%rsp)
+ movups %xmm3, 40(%rsp)
+
+ /* Use rbx/rbp for callee save registers as they get short
+ encoding for many instructions (as compared with r12/r13). */
+ movq %rbx, (%rsp)
+ cfi_offset (rbx, -64)
+ movq %rbp, 8(%rsp)
+ cfi_offset (rbp, -56)
+ /* edx has 1s where there was a special value that needs to be
+ handled by a tanhf call. */
+ movl %eax, %ebx
+L(SPECIAL_VALUES_LOOP):
+
+ /* use rbp as index for special value that is saved across calls
+ to tanhf. We technically don't need a callee save register
+ here as offset to rsp is always [0, 12] so we can restore
+ rsp by realigning to 64. Essentially the tradeoff is 1 extra
+ save/restore vs 2 extra instructions in the loop. */
+ xorl %ebp, %ebp
+ bsfl %ebx, %ebp
+
+ /* Scalar math fucntion call to process special input. */
+ movss 40(%rsp, %rbp, 4), %xmm0
+ call logf@PLT
+
+ /* 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, 24(%rsp, %rbp, 4)
+
+ leal -1(%rbx), %eax
+ andl %eax, %ebx
+ jnz L(SPECIAL_VALUES_LOOP)
+
+ /* All results have been written to 24(%rsp). */
+ movups 24(%rsp), %xmm0
+ movq (%rsp), %rbx
+ cfi_restore (rbx)
+ movq 8(%rsp), %rbp
+ cfi_restore (rbp)
+ addq $56, %rsp
+ cfi_def_cfa_offset (8)
+ ret
END (_ZGVbN4v_logf_sse4)
+
+ .section .rodata.sse4, "a"
+ .align 16
+
+ /* Data table for vector implementations of function logf. The
+ table may contain polynomial, reduction, lookup coefficients
+ and other coefficients obtained through different methods of
+ research and experimental work. */
+
+ .globl LOCAL_DATA_NAME
+LOCAL_DATA_NAME:
+ /* Polynomial sPoly[] coefficients:. */
+ /* -1.5177205204963684082031250e-01. */
+ DATA_VEC (LOCAL_DATA_NAME, _sPoly_7, 0xbe1b6a22)
+
+ /* 1.6964881122112274169921875e-01. */
+ DATA_VEC (LOCAL_DATA_NAME, _sPoly_6, 0x3e2db86b)
+
+ /* -1.6462457180023193359375000e-01. */
+ DATA_VEC (LOCAL_DATA_NAME, _sPoly_5, 0xbe289358)
+
+ /* 1.9822503626346588134765625e-01. */
+ DATA_VEC (LOCAL_DATA_NAME, _sPoly_4, 0x3e4afb81)
+
+ /* -2.5004664063453674316406250e-01. */
+ DATA_VEC (LOCAL_DATA_NAME, _sPoly_3, 0xbe80061d)
+
+ /* 3.3336564898490905761718750e-01. */
+ DATA_VEC (LOCAL_DATA_NAME, _sPoly_2, 0x3eaaaee7)
+
+
+ .type LOCAL_DATA_NAME, @object
+ .size LOCAL_DATA_NAME, .-LOCAL_DATA_NAME