1 | /* Function sinf vectorized with SSE4. |
2 | Copyright (C) 2014-2024 Free Software Foundation, Inc. |
3 | This file is part of the GNU C Library. |
4 | |
5 | The GNU C Library is free software; you can redistribute it and/or |
6 | modify it under the terms of the GNU Lesser General Public |
7 | License as published by the Free Software Foundation; either |
8 | version 2.1 of the License, or (at your option) any later version. |
9 | |
10 | The GNU C Library is distributed in the hope that it will be useful, |
11 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
12 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
13 | Lesser General Public License for more details. |
14 | |
15 | You should have received a copy of the GNU Lesser General Public |
16 | License along with the GNU C Library; if not, see |
17 | <https://www.gnu.org/licenses/>. */ |
18 | |
19 | |
20 | #include <sysdep.h> |
21 | #include "svml_s_trig_data.h" |
22 | |
23 | .section .text.sse4, "ax" , @progbits |
24 | ENTRY(_ZGVbN4v_sinf_sse4) |
25 | /* |
26 | ALGORITHM DESCRIPTION: |
27 | |
28 | 1) Range reduction to [-Pi/2; +Pi/2] interval |
29 | a) Grab sign from source argument and save it. |
30 | b) Remove sign using AND operation |
31 | c) Getting octant Y by 1/Pi multiplication |
32 | d) Add "Right Shifter" value |
33 | e) Treat obtained value as integer for destination sign setting. |
34 | Shift first bit of this value to the last (sign) position |
35 | f) Change destination sign if source sign is negative |
36 | using XOR operation. |
37 | g) Subtract "Right Shifter" value |
38 | h) Subtract Y*PI from X argument, where PI divided to 4 parts: |
39 | X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4; |
40 | 2) Polynomial (minimax for sin within [-Pi/2; +Pi/2] interval) |
41 | a) Calculate X^2 = X * X |
42 | b) Calculate polynomial: |
43 | R = X + X * X^2 * (A3 + x^2 * (A5 + ...... |
44 | 3) Destination sign setting |
45 | a) Set shifted destination sign using XOR operation: |
46 | R = XOR( R, S ); |
47 | */ |
48 | pushq %rbp |
49 | cfi_adjust_cfa_offset (8) |
50 | cfi_rel_offset (%rbp, 0) |
51 | movq %rsp, %rbp |
52 | cfi_def_cfa_register (%rbp) |
53 | andq $-64, %rsp |
54 | subq $320, %rsp |
55 | movaps %xmm0, %xmm5 |
56 | movq __svml_s_trig_data@GOTPCREL(%rip), %rax |
57 | movups __sAbsMask(%rax), %xmm2 |
58 | |
59 | /* b) Remove sign using AND operation */ |
60 | movaps %xmm2, %xmm4 |
61 | |
62 | /* |
63 | f) Change destination sign if source sign is negative |
64 | using XOR operation. |
65 | */ |
66 | andnps %xmm5, %xmm2 |
67 | movups __sInvPI(%rax), %xmm1 |
68 | andps %xmm5, %xmm4 |
69 | |
70 | /* c) Getting octant Y by 1/Pi multiplication |
71 | d) Add "Right Shifter" value */ |
72 | mulps %xmm4, %xmm1 |
73 | |
74 | /* h) Subtract Y*PI from X argument, where PI divided to 4 parts: |
75 | X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4 */ |
76 | movaps %xmm4, %xmm0 |
77 | |
78 | /* Check for large and special values */ |
79 | cmpnleps __sRangeReductionVal(%rax), %xmm4 |
80 | movups __sRShifter(%rax), %xmm6 |
81 | movups __sPI1(%rax), %xmm7 |
82 | addps %xmm6, %xmm1 |
83 | movmskps %xmm4, %ecx |
84 | |
85 | /* e) Treat obtained value as integer for destination sign setting. |
86 | Shift first bit of this value to the last (sign) position */ |
87 | movaps %xmm1, %xmm3 |
88 | |
89 | /* g) Subtract "Right Shifter" value */ |
90 | subps %xmm6, %xmm1 |
91 | mulps %xmm1, %xmm7 |
92 | pslld $31, %xmm3 |
93 | movups __sPI2(%rax), %xmm6 |
94 | subps %xmm7, %xmm0 |
95 | mulps %xmm1, %xmm6 |
96 | movups __sPI3(%rax), %xmm7 |
97 | subps %xmm6, %xmm0 |
98 | mulps %xmm1, %xmm7 |
99 | movups __sPI4(%rax), %xmm6 |
100 | subps %xmm7, %xmm0 |
101 | mulps %xmm6, %xmm1 |
102 | subps %xmm1, %xmm0 |
103 | |
104 | /* 2) Polynomial (minimax for sin within [-Pi/2; +Pi/2] interval) |
105 | a) Calculate X^2 = X * X |
106 | b) Calculate polynomial: |
107 | R = X + X * X^2 * (A3 + x^2 * (A5 + ...... */ |
108 | movaps %xmm0, %xmm1 |
109 | mulps %xmm0, %xmm1 |
110 | xorps %xmm3, %xmm0 |
111 | movups __sA9(%rax), %xmm3 |
112 | mulps %xmm1, %xmm3 |
113 | addps __sA7(%rax), %xmm3 |
114 | mulps %xmm1, %xmm3 |
115 | addps __sA5(%rax), %xmm3 |
116 | mulps %xmm1, %xmm3 |
117 | addps __sA3(%rax), %xmm3 |
118 | mulps %xmm3, %xmm1 |
119 | mulps %xmm0, %xmm1 |
120 | addps %xmm1, %xmm0 |
121 | |
122 | /* 3) Destination sign setting |
123 | a) Set shifted destination sign using XOR operation: |
124 | R = XOR( R, S ); */ |
125 | xorps %xmm2, %xmm0 |
126 | testl %ecx, %ecx |
127 | jne .LBL_1_3 |
128 | |
129 | .LBL_1_2: |
130 | cfi_remember_state |
131 | movq %rbp, %rsp |
132 | cfi_def_cfa_register (%rsp) |
133 | popq %rbp |
134 | cfi_adjust_cfa_offset (-8) |
135 | cfi_restore (%rbp) |
136 | ret |
137 | |
138 | .LBL_1_3: |
139 | cfi_restore_state |
140 | movups %xmm5, 192(%rsp) |
141 | movups %xmm0, 256(%rsp) |
142 | je .LBL_1_2 |
143 | |
144 | xorb %dl, %dl |
145 | xorl %eax, %eax |
146 | movups %xmm8, 112(%rsp) |
147 | movups %xmm9, 96(%rsp) |
148 | movups %xmm10, 80(%rsp) |
149 | movups %xmm11, 64(%rsp) |
150 | movups %xmm12, 48(%rsp) |
151 | movups %xmm13, 32(%rsp) |
152 | movups %xmm14, 16(%rsp) |
153 | movups %xmm15, (%rsp) |
154 | movq %rsi, 136(%rsp) |
155 | movq %rdi, 128(%rsp) |
156 | movq %r12, 168(%rsp) |
157 | cfi_offset_rel_rsp (12, 168) |
158 | movb %dl, %r12b |
159 | movq %r13, 160(%rsp) |
160 | cfi_offset_rel_rsp (13, 160) |
161 | movl %ecx, %r13d |
162 | movq %r14, 152(%rsp) |
163 | cfi_offset_rel_rsp (14, 152) |
164 | movl %eax, %r14d |
165 | movq %r15, 144(%rsp) |
166 | cfi_offset_rel_rsp (15, 144) |
167 | cfi_remember_state |
168 | |
169 | .LBL_1_6: |
170 | btl %r14d, %r13d |
171 | jc .LBL_1_12 |
172 | |
173 | .LBL_1_7: |
174 | lea 1(%r14), %esi |
175 | btl %esi, %r13d |
176 | jc .LBL_1_10 |
177 | |
178 | .LBL_1_8: |
179 | incb %r12b |
180 | addl $2, %r14d |
181 | cmpb $16, %r12b |
182 | jb .LBL_1_6 |
183 | |
184 | movups 112(%rsp), %xmm8 |
185 | movups 96(%rsp), %xmm9 |
186 | movups 80(%rsp), %xmm10 |
187 | movups 64(%rsp), %xmm11 |
188 | movups 48(%rsp), %xmm12 |
189 | movups 32(%rsp), %xmm13 |
190 | movups 16(%rsp), %xmm14 |
191 | movups (%rsp), %xmm15 |
192 | movq 136(%rsp), %rsi |
193 | movq 128(%rsp), %rdi |
194 | movq 168(%rsp), %r12 |
195 | cfi_restore (%r12) |
196 | movq 160(%rsp), %r13 |
197 | cfi_restore (%r13) |
198 | movq 152(%rsp), %r14 |
199 | cfi_restore (%r14) |
200 | movq 144(%rsp), %r15 |
201 | cfi_restore (%r15) |
202 | movups 256(%rsp), %xmm0 |
203 | jmp .LBL_1_2 |
204 | |
205 | .LBL_1_10: |
206 | cfi_restore_state |
207 | movzbl %r12b, %r15d |
208 | movss 196(%rsp,%r15,8), %xmm0 |
209 | |
210 | call JUMPTARGET(sinf) |
211 | |
212 | movss %xmm0, 260(%rsp,%r15,8) |
213 | jmp .LBL_1_8 |
214 | |
215 | .LBL_1_12: |
216 | movzbl %r12b, %r15d |
217 | movss 192(%rsp,%r15,8), %xmm0 |
218 | |
219 | call JUMPTARGET(sinf) |
220 | |
221 | movss %xmm0, 256(%rsp,%r15,8) |
222 | jmp .LBL_1_7 |
223 | |
224 | END(_ZGVbN4v_sinf_sse4) |
225 | |