Add the optimized implementation of 18 math functions for x86 and x86_64 respectively
Change-Id: I31bf601448a9427f825517f3a0ff24de47f49bfa
Signed-off-by: Jingwei Zhang <jingwei.zhang@intel.com>
Signed-off-by: Mingwei Shi <mingwei.shi@intel.com>
diff --git a/libm/x86/libm_tancot_huge.S b/libm/x86/libm_tancot_huge.S
new file mode 100644
index 0000000..80f16d5
--- /dev/null
+++ b/libm/x86/libm_tancot_huge.S
@@ -0,0 +1,750 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+# -- Begin __libm_tancot_huge
+ .text
+ .align 16,0x90
+ .hidden __libm_tancot_huge
+ .globl __libm_tancot_huge
+__libm_tancot_huge:
+# parameter 1: 8 + %ebp
+# parameter 2: 16 + %ebp
+# parameter 3: 20 + %ebp
+..B1.1:
+ pushl %ebp
+ movl %esp, %ebp
+ andl $-64, %esp
+ pushl %esi
+ pushl %edi
+ pushl %ebx
+ subl $52, %esp
+ movl 16(%ebp), %eax
+ movl 20(%ebp), %ebx
+ movl %eax, 40(%esp)
+..B1.2:
+ fnstcw 38(%esp)
+..B1.3:
+ movl 12(%ebp), %edx
+ movl %edx, %eax
+ andl $2147483647, %eax
+ shrl $31, %edx
+ movl %edx, 44(%esp)
+ cmpl $1104150528, %eax
+ call ..L2
+..L2:
+ popl %esi
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%esi), %esi
+ jae ..B1.11
+..B1.4:
+ movsd 8(%ebp), %xmm1
+ movzwl 38(%esp), %ecx
+ movl %ecx, %edx
+ andl $768, %edx
+ andps .L_2il0floatpacket.0@GOTOFF(%esi), %xmm1
+ cmpl $768, %edx
+ movsd _Pi4Inv@GOTOFF(%esi), %xmm0
+ mulsd %xmm1, %xmm0
+ movsd %xmm1, 8(%ebp)
+ movsd %xmm0, (%esp)
+ je ..B1.39
+..B1.5:
+ orl $-64768, %ecx
+ movw %cx, 36(%esp)
+..B1.6:
+ fldcw 36(%esp)
+..B1.7:
+ movsd 8(%ebp), %xmm1
+ movl $1, %edi
+..B1.8:
+ movl %esi, 12(%esp)
+ movl 4(%esp), %esi
+ movl %esi, %edx
+ movl %edi, 24(%esp)
+ movl %esi, %edi
+ shrl $20, %edi
+ andl $1048575, %edx
+ movl %edi, %ecx
+ orl $1048576, %edx
+ negl %ecx
+ addl $13, %edi
+ movl %ebx, 8(%esp)
+ addl $19, %ecx
+ movl %edx, %ebx
+ movl %ecx, 28(%esp)
+ shrl %cl, %ebx
+ movl %edi, %ecx
+ shll %cl, %edx
+ movl 28(%esp), %ecx
+ movl (%esp), %edi
+ shrl %cl, %edi
+ orl %edi, %edx
+ cmpl $1094713344, %esi
+ movsd %xmm1, 16(%esp)
+ fldl 16(%esp)
+ cmovb %ebx, %edx
+ movl 24(%esp), %edi
+ movl 12(%esp), %esi
+ lea 1(%edx), %ebx
+ andl $-2, %ebx
+ movl %ebx, 16(%esp)
+ cmpl $1094713344, %eax
+ fildl 16(%esp)
+ movl 8(%esp), %ebx
+ jae ..B1.10
+..B1.9:
+ fldl _Pi4x3@GOTOFF(%esi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 8+_Pi4x3@GOTOFF(%esi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 16+_Pi4x3@GOTOFF(%esi)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ jmp ..B1.17
+..B1.10:
+ fldl _Pi4x4@GOTOFF(%esi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 8+_Pi4x4@GOTOFF(%esi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 16+_Pi4x4@GOTOFF(%esi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 24+_Pi4x4@GOTOFF(%esi)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ jmp ..B1.17
+..B1.11:
+ movzwl 38(%esp), %edx
+ movl %edx, %eax
+ andl $768, %eax
+ cmpl $768, %eax
+ je ..B1.40
+..B1.12:
+ orl $-64768, %edx
+ movw %dx, 36(%esp)
+..B1.13:
+ fldcw 36(%esp)
+..B1.14:
+ movl $1, %edi
+..B1.15:
+ movsd 8(%ebp), %xmm0
+ addl $-32, %esp
+ andps .L_2il0floatpacket.0@GOTOFF(%esi), %xmm0
+ lea 32(%esp), %eax
+ movsd %xmm0, 16(%eax)
+ fldl 16(%eax)
+ fstpt (%esp)
+ movl $0, 12(%esp)
+ movl %eax, 16(%esp)
+ call __libm_reduce_pi04l
+..B1.43:
+ movl %eax, %edx
+ addl $32, %esp
+..B1.16:
+ fldl (%esp)
+ fldl 8(%esp)
+ faddp %st, %st(1)
+..B1.17:
+ movl %ebx, %eax
+ andl $3, %eax
+ cmpl $3, %eax
+ jne ..B1.24
+..B1.18:
+ fldl _ones@GOTOFF(%esi)
+ incl %edx
+ fdiv %st(1), %st
+ testb $2, %dl
+ fstpt 24(%esp)
+ fld %st(0)
+ fmul %st(1), %st
+ fld %st(0)
+ fmul %st(1), %st
+ fldt 36+_TP@GOTOFF(%esi)
+ fmul %st(2), %st
+ fldt 24+_TP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt 12+_TP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt 36+_TQ@GOTOFF(%esi)
+ fmul %st(3), %st
+ fldt 24+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(3), %st
+ fldt 12+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(3), %st
+ fldt _TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fldt _TP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fldt 132+_GP@GOTOFF(%esi)
+ fmul %st(3), %st
+ fldt 120+_GP@GOTOFF(%esi)
+ fmul %st(4), %st
+ fldt 108+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 96+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 84+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 72+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 60+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 48+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 36+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 24+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(4)
+ fldt 12+_GP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(4), %st
+ fmul %st(5), %st
+ fldt _GP@GOTOFF(%esi)
+ faddp %st, %st(4)
+ fxch %st(3)
+ fmul %st(5), %st
+ faddp %st, %st(3)
+ je ..B1.20
+..B1.19:
+ fldt 24(%esp)
+ fxch %st(1)
+ fdivrp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(3)
+ movl 44(%esp), %eax
+ xorl $1, %eax
+ fxch %st(2)
+ fmul %st(3), %st
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(2)
+ fmul %st, %st(3)
+ fxch %st(3)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fstpl 16(%esp)
+ fmul %st(1), %st
+ fxch %st(1)
+ fmulp %st, %st(2)
+ movsd 16(%esp), %xmm0
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm1
+ jmp ..B1.21
+..B1.20:
+ fdivrp %st, %st(1)
+ fmulp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ movl 44(%esp), %eax
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(1)
+ fmul %st, %st(3)
+ fxch %st(3)
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ fmul %st(1), %st
+ fldt 24(%esp)
+ fmulp %st, %st(2)
+ movsd 16(%esp), %xmm0
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm1
+..B1.21:
+ testl %edi, %edi
+ je ..B1.23
+..B1.22:
+ fldcw 38(%esp)
+..B1.23:
+ movl 40(%esp), %eax
+ movsd %xmm0, (%eax)
+ movsd %xmm1, 8(%eax)
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.24:
+ testb $2, %bl
+ je ..B1.31
+..B1.25:
+ incl %edx
+ fld %st(0)
+ fmul %st(1), %st
+ testb $2, %dl
+ je ..B1.27
+..B1.26:
+ fldl _ones@GOTOFF(%esi)
+ fdiv %st(2), %st
+ fld %st(1)
+ fmul %st(2), %st
+ fldt 132+_GP@GOTOFF(%esi)
+ fmul %st(1), %st
+ fldt 120+_GP@GOTOFF(%esi)
+ fmul %st(2), %st
+ fldt 108+_GP@GOTOFF(%esi)
+ movl 44(%esp), %eax
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ xorl $1, %eax
+ fldt 96+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 84+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 72+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 60+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 48+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 36+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 24+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(2)
+ fldt 12+_GP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmulp %st, %st(3)
+ fldt _GP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(3), %st
+ fxch %st(2)
+ fmulp %st, %st(3)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(2)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm0
+ jmp ..B1.28
+..B1.27:
+ fldt 36+_TP@GOTOFF(%esi)
+ fmul %st(1), %st
+ fldt 24+_TP@GOTOFF(%esi)
+ movl 44(%esp), %eax
+ faddp %st, %st(1)
+ fmul %st(1), %st
+ fldt 36+_TQ@GOTOFF(%esi)
+ fmul %st(2), %st
+ fldt 24+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt 12+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt _TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fldt 12+_TP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt _TP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fdivp %st, %st(1)
+ fmulp %st, %st(1)
+ fmul %st(1), %st
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(1)
+ fmulp %st, %st(2)
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm0
+..B1.28:
+ testl %edi, %edi
+ je ..B1.30
+..B1.29:
+ fldcw 38(%esp)
+..B1.30:
+ movl 40(%esp), %eax
+ movsd %xmm0, (%eax)
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.31:
+ testb $1, %bl
+ je ..B1.38
+..B1.32:
+ incl %edx
+ fld %st(0)
+ fmul %st(1), %st
+ testb $2, %dl
+ je ..B1.34
+..B1.33:
+ fldt 36+_TP@GOTOFF(%esi)
+ fmul %st(1), %st
+ fldt 24+_TP@GOTOFF(%esi)
+ movl 44(%esp), %eax
+ faddp %st, %st(1)
+ fmul %st(1), %st
+ xorl $1, %eax
+ fldt 36+_TQ@GOTOFF(%esi)
+ fmul %st(2), %st
+ fldt 24+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt 12+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt _TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fldt 12+_TP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt _TP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fdivp %st, %st(1)
+ fmulp %st, %st(1)
+ fmul %st(1), %st
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(1)
+ fmulp %st, %st(2)
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm0
+ jmp ..B1.35
+..B1.34:
+ fldl _ones@GOTOFF(%esi)
+ fdiv %st(2), %st
+ fld %st(1)
+ fmul %st(2), %st
+ fldt 132+_GP@GOTOFF(%esi)
+ fmul %st(1), %st
+ fldt 120+_GP@GOTOFF(%esi)
+ fmul %st(2), %st
+ fldt 108+_GP@GOTOFF(%esi)
+ movl 44(%esp), %eax
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 96+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 84+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 72+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 60+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 48+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 36+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 24+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(2)
+ fldt 12+_GP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmulp %st, %st(3)
+ fldt _GP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(3), %st
+ fxch %st(2)
+ fmulp %st, %st(3)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(2)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm0
+..B1.35:
+ testl %edi, %edi
+ je ..B1.37
+..B1.36:
+ fldcw 38(%esp)
+..B1.37:
+ movl 40(%esp), %eax
+ movsd %xmm0, 8(%eax)
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.38:
+ fstp %st(0)
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.39:
+ xorl %edi, %edi
+ jmp ..B1.8
+..B1.40:
+ xorl %edi, %edi
+ jmp ..B1.15
+ .align 16,0x90
+ .type __libm_tancot_huge,@function
+ .size __libm_tancot_huge,.-__libm_tancot_huge
+ .data
+# -- End __libm_tancot_huge
+ .section .rodata, "a"
+ .align 16
+ .align 16
+.L_2il0floatpacket.0:
+ .long 0xffffffff,0x7fffffff,0x00000000,0x00000000
+ .type .L_2il0floatpacket.0,@object
+ .size .L_2il0floatpacket.0,16
+ .align 16
+_Pi4Inv:
+ .long 1841940611
+ .long 1072979760
+ .type _Pi4Inv,@object
+ .size _Pi4Inv,8
+ .space 8, 0x00 # pad
+ .align 16
+_Pi4x3:
+ .long 1413754880
+ .long 3219726843
+ .long 993632256
+ .long 1027030475
+ .long 3773204808
+ .long 3129236486
+ .type _Pi4x3,@object
+ .size _Pi4x3,24
+ .space 8, 0x00 # pad
+ .align 16
+_Pi4x4:
+ .long 1413480448
+ .long 3219726843
+ .long 442499072
+ .long 3183522913
+ .long 771751936
+ .long 3146979722
+ .long 622873025
+ .long 3110831002
+ .type _Pi4x4,@object
+ .size _Pi4x4,32
+ .align 16
+_ones:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 3220176896
+ .type _ones,@object
+ .size _ones,16
+ .align 16
+_TP:
+ .word 19670
+ .word 44908
+ .word 50960
+ .word 50786
+ .word 49149
+ .word 0
+ .word 19206
+ .word 45228
+ .word 54194
+ .word 52268
+ .word 16377
+ .word 0
+ .word 227
+ .word 51280
+ .word 43560
+ .word 38195
+ .word 49139
+ .word 0
+ .word 12272
+ .word 18029
+ .word 6715
+ .word 45670
+ .word 16357
+ .word 0
+ .type _TP,@object
+ .size _TP,48
+ .align 16
+_TQ:
+ .word 14748
+ .word 33681
+ .word 5452
+ .word 38090
+ .word 49151
+ .word 0
+ .word 46755
+ .word 50026
+ .word 17634
+ .word 35372
+ .word 16382
+ .word 0
+ .word 46863
+ .word 53352
+ .word 42702
+ .word 59869
+ .word 49145
+ .word 0
+ .word 33295
+ .word 20942
+ .word 32118
+ .word 39935
+ .word 16371
+ .word 0
+ .type _TQ,@object
+ .size _TQ,48
+ .align 16
+_GP:
+ .word 43691
+ .word 43690
+ .word 43690
+ .word 43690
+ .word 49149
+ .word 0
+ .word 46639
+ .word 2912
+ .word 24758
+ .word 46603
+ .word 49145
+ .word 0
+ .word 57255
+ .word 2218
+ .word 21984
+ .word 35507
+ .word 49142
+ .word 0
+ .word 34208
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+ .type _GP,@object
+ .size _GP,144
+ .data
+ .hidden __libm_reduce_pi04l
+ .section .note.GNU-stack, ""
+# End