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_reduce_pi04l.S b/libm/x86/libm_reduce_pi04l.S
new file mode 100644
index 0000000..af6a7d0
--- /dev/null
+++ b/libm/x86/libm_reduce_pi04l.S
@@ -0,0 +1,3718 @@
+/*
+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_reduce_pi04l
+ .text
+ .align 16,0x90
+ .hidden __libm_reduce_pi04l
+ .globl __libm_reduce_pi04l
+__libm_reduce_pi04l:
+# parameter 1: 8 + %ebp
+# parameter 2: 20 + %ebp
+# parameter 3: 24 + %ebp
+..B1.1:
+ pushl %ebp
+ movl %esp, %ebp
+ andl $-16, %esp
+ pushl %esi
+ pushl %edi
+ pushl %ebx
+ subl $20, %esp
+ movzwl 16(%ebp), %ebx
+ andl $32767, %ebx
+ movl 20(%ebp), %eax
+ cmpl $16413, %ebx
+ movl 24(%ebp), %esi
+ call ..L2
+..L2:
+ popl %edi
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%edi), %edi
+ movl %eax, 4(%esp)
+ jge ..B1.8
+..B1.2:
+ fldt 8(%ebp)
+ fldl __4onpi_d@GOTOFF(%edi)
+ fmul %st(1), %st
+ fstpt 8(%esp)
+ movzwl 16(%esp), %ecx
+ negl %ecx
+ addl $30, %ecx
+ movl 12(%esp), %eax
+ shrl %cl, %eax
+ cmpl $0, 4(%esp)
+ jne ..B1.4
+..B1.3:
+ lea 1(%eax), %ecx
+ andl $-2, %ecx
+ jmp ..B1.5
+..B1.4:
+ movl %eax, %ecx
+ addl 4(%esp), %eax
+ movl %eax, %edx
+ andl $1, %edx
+ addl %edx, %ecx
+..B1.5:
+ fldl _TWO_32H@GOTOFF(%edi)
+ cmpl $16400, %ebx
+ movl %ecx, (%esp)
+ fildl (%esp)
+ jge ..B1.7
+..B1.6:
+ fldl _pi04_3d@GOTOFF(%edi)
+ fmul %st(1), %st
+ fsubrp %st, %st(3)
+ fxch %st(1)
+ fmul %st(2), %st
+ fld %st(2)
+ fadd %st(1), %st
+ fsubp %st, %st(1)
+ fld %st(0)
+ fxch %st(1)
+ fsubr %st, %st(3)
+ fldl 8+_pi04_3d@GOTOFF(%edi)
+ fmul %st(3), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ fsub %st(2), %st
+ fsubp %st, %st(1)
+ faddp %st, %st(3)
+ fldl 16+_pi04_3d@GOTOFF(%edi)
+ fmulp %st, %st(2)
+ fld %st(1)
+ fsubr %st(1), %st
+ fsubr %st, %st(1)
+ fxch %st(2)
+ fsubrp %st, %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ jmp ..B1.15
+..B1.7:
+ fldl _pi04_5d@GOTOFF(%edi)
+ fmul %st(1), %st
+ fsubrp %st, %st(3)
+ fxch %st(1)
+ fmul %st(2), %st
+ fld %st(2)
+ fadd %st(1), %st
+ fsubp %st, %st(1)
+ fld %st(0)
+ fxch %st(1)
+ fsubr %st, %st(3)
+ fldl 8+_pi04_5d@GOTOFF(%edi)
+ fmul %st(3), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ fsub %st(2), %st
+ fsubp %st, %st(1)
+ faddp %st, %st(3)
+ fldl 16+_pi04_5d@GOTOFF(%edi)
+ fmul %st(2), %st
+ fld %st(0)
+ fsubr %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ fsubrp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(3)
+ fldl 24+_pi04_5d@GOTOFF(%edi)
+ fmul %st(2), %st
+ fld %st(0)
+ fsubr %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ fsubrp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(3)
+ fldl 32+_pi04_5d@GOTOFF(%edi)
+ fmulp %st, %st(2)
+ fld %st(1)
+ fsubr %st(1), %st
+ fsubr %st, %st(1)
+ fxch %st(2)
+ fsubrp %st, %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ jmp ..B1.15
+..B1.8:
+ fldt 8(%ebp)
+ addl $-16417, %ebx
+ fmull _SCALE@GOTOFF(%edi)
+ movl $-2078209981, %eax
+ imull %ebx
+ addl %ebx, %edx
+ movl %ebx, %ecx
+ sarl $4, %edx
+ sarl $31, %ecx
+ subl %ecx, %edx
+ movl %edx, %eax
+ shll $5, %eax
+ fstpt 8(%ebp)
+ fldt 8(%ebp)
+ subl %edx, %eax
+ movl $0, 8(%ebp)
+ subl %eax, %ebx
+ fldt 8(%ebp)
+ cmpl $17, %ebx
+ fsubr %st, %st(1)
+ jl ..B1.10
+..B1.9:
+ lea (,%edx,8), %eax
+ lea (%eax,%edx,4), %ecx
+ incl %edx
+ fldt __4onpi_31l@GOTOFF(%ecx,%edi)
+ fmul %st(2), %st
+ fldt 12+__4onpi_31l@GOTOFF(%edi,%ecx)
+ fmul %st(2), %st
+ fld %st(0)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fld %st(1)
+ fadd %st(1), %st
+ fstpt 8(%esp)
+ andl $-16777216, 8(%esp)
+ fldt 8(%esp)
+ fsubrp %st, %st(1)
+ jmp ..B1.11
+..B1.10:
+ fldl _zeros@GOTOFF(%edi)
+ fld %st(0)
+..B1.11:
+ fld %st(0)
+ lea (,%edx,8), %eax
+ fld %st(3)
+ lea (%eax,%edx,4), %edx
+ fldt __4onpi_31l@GOTOFF(%edx,%edi)
+ fmul %st(6), %st
+ movl %edx, (%esp)
+ fadd %st, %st(2)
+ fxch %st(2)
+ fsubr %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fldt 12+__4onpi_31l@GOTOFF(%edx,%edi)
+ fmul %st, %st(2)
+ fld %st(2)
+ fadd %st(2), %st
+ fld %st(0)
+ fxch %st(1)
+ fsub %st, %st(3)
+ fxch %st(3)
+ fchs
+ faddp %st, %st(4)
+ fxch %st(3)
+ faddp %st, %st(4)
+ fxch %st(2)
+ fadd %st(3), %st
+ fxch %st(2)
+ fmul %st(5), %st
+ fadd %st, %st(2)
+ fld %st(4)
+ fldt 24+__4onpi_31l@GOTOFF(%edx,%edi)
+ fmul %st, %st(1)
+ fxch %st(1)
+ fadd %st, %st(4)
+ fxch %st(4)
+ fstpt 8(%esp)
+ movzwl 16(%esp), %ebx
+ andl $32767, %ebx
+ cmpl $16415, %ebx
+ jge ..B1.13
+..B1.12:
+ negl %ebx
+ addl $30, %ebx
+ movl %ebx, %ecx
+ movl 12(%esp), %eax
+ shrl %cl, %eax
+ shll %cl, %eax
+ movl %eax, 12(%esp)
+ movl $0, 8(%esp)
+ shrl %cl, %eax
+ jmp ..B1.14
+..B1.13:
+ negl %ebx
+ addl $30, %ebx
+ movl %ebx, %ecx
+ movl 8(%esp), %edx
+ shrl %cl, %edx
+ shll %cl, %edx
+ negl %ecx
+ movl 12(%esp), %eax
+ shll %cl, %eax
+ movl %ebx, %ecx
+ movl %edx, 8(%esp)
+ shrl %cl, %edx
+ orl %edx, %eax
+..B1.14:
+ fldt 8(%esp)
+ addl 4(%esp), %eax
+ fsubrp %st, %st(3)
+ fmul %st(6), %st
+ fld %st(4)
+ movl %eax, %edx
+ andl $1, %edx
+ fadd %st(3), %st
+ movl (%esp), %ecx
+ fsubr %st, %st(3)
+ fxch %st(3)
+ faddp %st, %st(5)
+ fld %st(1)
+ fxch %st(3)
+ faddl zero_none@GOTOFF(%edi,%edx,8)
+ fadd %st, %st(3)
+ fsub %st(3), %st
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(4)
+ fld %st(2)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(3)
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(3)
+ fld %st(0)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fld %st(2)
+ fldt 36+__4onpi_31l@GOTOFF(%ecx,%edi)
+ fmul %st, %st(1)
+ fld %st(1)
+ fadd %st(3), %st
+ fsubr %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fxch %st(1)
+ fmul %st(4), %st
+ fld %st(0)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fld %st(2)
+ fldt 48+__4onpi_31l@GOTOFF(%ecx,%edi)
+ fmul %st, %st(1)
+ fld %st(1)
+ fadd %st(3), %st
+ fsubr %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fld %st(3)
+ fxch %st(2)
+ fmul %st(5), %st
+ fldt 60+__4onpi_31l@GOTOFF(%ecx,%edi)
+ fmul %st, %st(3)
+ fxch %st(3)
+ faddp %st, %st(1)
+ fld %st(0)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(3)
+ fld %st(3)
+ fxch %st(2)
+ fmul %st(5), %st
+ fldt 72+__4onpi_31l@GOTOFF(%ecx,%edi)
+ fmul %st, %st(3)
+ fxch %st(3)
+ faddp %st, %st(1)
+ fld %st(0)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(3)
+ fxch %st(1)
+ fmulp %st, %st(4)
+ fldt 84+__4onpi_31l@GOTOFF(%edi,%ecx)
+ fmulp %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fld %st(2)
+ fadd %st(2), %st
+ fldl _TWO_32H@GOTOFF(%edi)
+ fmul %st(1), %st
+ fadd %st, %st(1)
+ fsubrp %st, %st(1)
+ fsubr %st, %st(2)
+ fxch %st(3)
+ faddp %st, %st(2)
+ faddp %st, %st(1)
+ fldl _pi04_2d@GOTOFF(%edi)
+ fld %st(0)
+ fmul %st(2), %st
+ fxch %st(2)
+ fadd %st(3), %st
+ fxch %st(1)
+ fmulp %st, %st(3)
+ fmull 8+_pi04_2d@GOTOFF(%edi)
+ faddp %st, %st(1)
+..B1.15:
+ fldl _TWO_12H@GOTOFF(%edi)
+ fld %st(2)
+ fadd %st(2), %st
+ fmul %st, %st(1)
+ fstpt 8(%esp)
+ fldt 8(%esp)
+ fadd %st(1), %st
+ fsubp %st, %st(1)
+ fstl (%esi)
+ fsubrp %st, %st(2)
+ faddp %st, %st(1)
+ fstpl 8(%esi)
+ addl $20, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+ .align 16,0x90
+ .type __libm_reduce_pi04l,@function
+ .size __libm_reduce_pi04l,.-__libm_reduce_pi04l
+ .data
+# -- End __libm_reduce_pi04l
+ .section .rodata, "a"
+ .align 8
+ .align 8
+zero_none:
+ .long 0x00000000,0x00000000
+ .long 0x00000000,0xbff00000
+ .type zero_none,@object
+ .size zero_none,16
+ .align 4
+__4onpi_d:
+ .long 1841940611
+ .long 1072979760
+ .type __4onpi_d,@object
+ .size __4onpi_d,8
+ .align 4
+_TWO_32H:
+ .long 0
+ .long 1106771968
+ .type _TWO_32H,@object
+ .size _TWO_32H,8
+ .align 4
+_pi04_3d:
+ .long 1413754112
+ .long 1072243195
+ .long 2563527040
+ .long 1021855384
+ .long 3417685868
+ .long 3118450936
+ .type _pi04_3d,@object
+ .size _pi04_3d,24
+ .align 4
+_pi04_5d:
+ .long 1413480448
+ .long 1072243195
+ .long 442499072
+ .long 1036039265
+ .long 771751936
+ .long 999496074
+ .long 622854144
+ .long 963347354
+ .long 1396597664
+ .long 922906692
+ .type _pi04_5d,@object
+ .size _pi04_5d,40
+ .align 4
+_SCALE:
+ .long 0
+ .long 845152256
+ .type _SCALE,@object
+ .size _SCALE,8
+ .align 4
+_zeros:
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .type _zeros,@object
+ .size _zeros,16
+ .align 4
+_pi04_2d:
+ .long 1413480448
+ .long 1072243195
+ .long 442655537
+ .long 1036039265
+ .type _pi04_2d,@object
+ .size _pi04_2d,16
+ .align 4
+_TWO_12H:
+ .long 0
+ .long 1085800448
+ .type _TWO_12H,@object
+ .size _TWO_12H,8
+ .align 2
+__4onpi_31l:
+ .word 0
+ .word 0
+ .word 0
+ .word 0
+ .word 0
+ .word 0
+ .word 0
+ .word 0
+ .word 33646
+ .word 41721
+ .word 16600
+ .word 0
+ .word 0
+ .word 0
+ .word 10832
+ .word 40072
+ .word 16567
+ .word 0
+ .word 0
+ .word 0
+ .word 44008
+ .word 65043
+ .word 16537
+ .word 0
+ .word 0
+ .word 0
+ .word 28384
+ .word 64154
+ .word 16505
+ .word 0
+ .word 0
+ .word 0
+ .word 38272
+ .word 56162
+ .word 16472
+ .word 0
+ .word 0
+ .word 0
+ .word 7298
+ .word 51682
+ .word 16445
+ .word 0
+ .word 0
+ .word 0
+ .word 45504
+ .word 65320
+ .word 16409
+ .word 0
+ .word 0
+ .word 0
+ .word 61204
+ .word 44922
+ .word 16382
+ .word 0
+ .word 0
+ .word 0
+ .word 18652
+ .word 50030
+ .word 16351
+ .word 0
+ .word 0
+ .word 0
+ .word 14144
+ .word 59657
+ .word 16318
+ .word 0
+ .word 0
+ .word 0
+ .word 37450
+ .word 47105
+ .word 16290
+ .word 0
+ .word 0
+ .word 0
+ .word 14898
+ .word 56641
+ .word 16259
+ .word 0
+ .word 0
+ .word 0
+ .word 34680
+ .word 34623
+ .word 16226
+ .word 0
+ .word 0
+ .word 0
+ .word 4760
+ .word 45515
+ .word 16196
+ .word 0
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+ .word 0
+ .word 41480
+ .word 40187
+ .word 16166
+ .word 0
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+ .word 0
+ .word 47852
+ .word 55252
+ .word 16134
+ .word 0
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+ .word 35081
+ .word 16103
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+ .word 14986
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+ .section .note.GNU-stack, ""
+# End