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21933112 | 1 | /* Function cos vectorized with SSE4. |
6d7e8eda | 2 | Copyright (C) 2014-2023 Free Software Foundation, Inc. |
21933112 AS |
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 | |
5a82c748 | 17 | <https://www.gnu.org/licenses/>. */ |
21933112 AS |
18 | |
19 | #include <sysdep.h> | |
5872b835 | 20 | #include "svml_d_trig_data.h" |
21933112 | 21 | |
e1d082d9 | 22 | .section .text.sse4, "ax", @progbits |
21933112 AS |
23 | ENTRY (_ZGVbN2v_cos_sse4) |
24 | /* ALGORITHM DESCRIPTION: | |
25 | ||
26 | ( low accuracy ( < 4ulp ) or enhanced performance | |
27 | ( half of correct mantissa ) implementation ) | |
28 | ||
29 | Argument representation: | |
30 | arg + Pi/2 = (N*Pi + R) | |
31 | ||
32 | Result calculation: | |
33 | cos(arg) = sin(arg+Pi/2) = sin(N*Pi + R) = (-1)^N * sin(R) | |
34 | sin(R) is approximated by corresponding polynomial | |
35 | */ | |
36 | pushq %rbp | |
37 | cfi_adjust_cfa_offset (8) | |
38 | cfi_rel_offset (%rbp, 0) | |
39 | movq %rsp, %rbp | |
40 | cfi_def_cfa_register (%rbp) | |
41 | andq $-64, %rsp | |
42 | subq $320, %rsp | |
43 | movaps %xmm0, %xmm3 | |
5872b835 | 44 | movq __svml_d_trig_data@GOTPCREL(%rip), %rax |
21933112 AS |
45 | movups __dHalfPI(%rax), %xmm2 |
46 | ||
47 | /* ARGUMENT RANGE REDUCTION: | |
48 | Add Pi/2 to argument: X' = X+Pi/2 | |
49 | */ | |
50 | addpd %xmm3, %xmm2 | |
51 | movups __dInvPI(%rax), %xmm5 | |
52 | movups __dAbsMask(%rax), %xmm4 | |
53 | ||
54 | /* Get absolute argument value: X' = |X'| */ | |
55 | andps %xmm2, %xmm4 | |
56 | ||
57 | /* Y = X'*InvPi + RS : right shifter add */ | |
58 | mulpd %xmm5, %xmm2 | |
59 | ||
60 | /* Check for large arguments path */ | |
61 | cmpnlepd __dRangeVal(%rax), %xmm4 | |
62 | movups __dRShifter(%rax), %xmm6 | |
63 | addpd %xmm6, %xmm2 | |
64 | movmskpd %xmm4, %ecx | |
65 | ||
66 | /* N = Y - RS : right shifter sub */ | |
67 | movaps %xmm2, %xmm1 | |
68 | ||
69 | /* SignRes = Y<<63 : shift LSB to MSB place for result sign */ | |
70 | psllq $63, %xmm2 | |
71 | subpd %xmm6, %xmm1 | |
72 | ||
73 | /* N = N - 0.5 */ | |
74 | subpd __dOneHalf(%rax), %xmm1 | |
75 | movups __dPI1(%rax), %xmm7 | |
76 | ||
77 | /* R = X - N*Pi1 */ | |
78 | mulpd %xmm1, %xmm7 | |
79 | movups __dPI2(%rax), %xmm4 | |
80 | ||
81 | /* R = R - N*Pi2 */ | |
82 | mulpd %xmm1, %xmm4 | |
83 | subpd %xmm7, %xmm0 | |
84 | movups __dPI3(%rax), %xmm5 | |
85 | ||
86 | /* R = R - N*Pi3 */ | |
87 | mulpd %xmm1, %xmm5 | |
88 | subpd %xmm4, %xmm0 | |
89 | ||
90 | /* R = R - N*Pi4 */ | |
91 | movups __dPI4(%rax), %xmm6 | |
92 | mulpd %xmm6, %xmm1 | |
93 | subpd %xmm5, %xmm0 | |
94 | subpd %xmm1, %xmm0 | |
95 | ||
96 | /* POLYNOMIAL APPROXIMATION: R2 = R*R */ | |
97 | movaps %xmm0, %xmm4 | |
98 | mulpd %xmm0, %xmm4 | |
99 | movups __dC7(%rax), %xmm1 | |
100 | mulpd %xmm4, %xmm1 | |
101 | addpd __dC6(%rax), %xmm1 | |
102 | mulpd %xmm4, %xmm1 | |
103 | addpd __dC5(%rax), %xmm1 | |
104 | mulpd %xmm4, %xmm1 | |
105 | addpd __dC4(%rax), %xmm1 | |
106 | ||
107 | /* Poly = C3+R2*(C4+R2*(C5+R2*(C6+R2*C7))) */ | |
108 | mulpd %xmm4, %xmm1 | |
109 | addpd __dC3(%rax), %xmm1 | |
110 | ||
111 | /* Poly = R+R*(R2*(C1+R2*(C2+R2*Poly))) */ | |
112 | mulpd %xmm4, %xmm1 | |
113 | addpd __dC2(%rax), %xmm1 | |
114 | mulpd %xmm4, %xmm1 | |
115 | addpd __dC1(%rax), %xmm1 | |
116 | mulpd %xmm1, %xmm4 | |
117 | mulpd %xmm0, %xmm4 | |
118 | addpd %xmm4, %xmm0 | |
119 | ||
120 | /* RECONSTRUCTION: | |
121 | Final sign setting: Res = Poly^SignRes */ | |
122 | xorps %xmm2, %xmm0 | |
123 | testl %ecx, %ecx | |
124 | jne .LBL_1_3 | |
125 | ||
126 | .LBL_1_2: | |
127 | cfi_remember_state | |
128 | movq %rbp, %rsp | |
129 | cfi_def_cfa_register (%rsp) | |
130 | popq %rbp | |
131 | cfi_adjust_cfa_offset (-8) | |
132 | cfi_restore (%rbp) | |
133 | ret | |
134 | ||
135 | .LBL_1_3: | |
136 | cfi_restore_state | |
137 | movups %xmm3, 192(%rsp) | |
138 | movups %xmm0, 256(%rsp) | |
139 | je .LBL_1_2 | |
140 | ||
141 | xorb %dl, %dl | |
142 | xorl %eax, %eax | |
143 | movups %xmm8, 112(%rsp) | |
144 | movups %xmm9, 96(%rsp) | |
145 | movups %xmm10, 80(%rsp) | |
146 | movups %xmm11, 64(%rsp) | |
147 | movups %xmm12, 48(%rsp) | |
148 | movups %xmm13, 32(%rsp) | |
149 | movups %xmm14, 16(%rsp) | |
150 | movups %xmm15, (%rsp) | |
151 | movq %rsi, 136(%rsp) | |
152 | movq %rdi, 128(%rsp) | |
153 | movq %r12, 168(%rsp) | |
154 | cfi_offset_rel_rsp (12, 168) | |
155 | movb %dl, %r12b | |
156 | movq %r13, 160(%rsp) | |
157 | cfi_offset_rel_rsp (13, 160) | |
158 | movl %ecx, %r13d | |
159 | movq %r14, 152(%rsp) | |
160 | cfi_offset_rel_rsp (14, 152) | |
161 | movl %eax, %r14d | |
162 | movq %r15, 144(%rsp) | |
163 | cfi_offset_rel_rsp (15, 144) | |
164 | cfi_remember_state | |
165 | ||
166 | .LBL_1_6: | |
167 | btl %r14d, %r13d | |
168 | jc .LBL_1_12 | |
169 | ||
170 | .LBL_1_7: | |
171 | lea 1(%r14), %esi | |
172 | btl %esi, %r13d | |
173 | jc .LBL_1_10 | |
174 | ||
175 | .LBL_1_8: | |
176 | incb %r12b | |
177 | addl $2, %r14d | |
178 | cmpb $16, %r12b | |
179 | jb .LBL_1_6 | |
180 | ||
181 | movups 112(%rsp), %xmm8 | |
182 | movups 96(%rsp), %xmm9 | |
183 | movups 80(%rsp), %xmm10 | |
184 | movups 64(%rsp), %xmm11 | |
185 | movups 48(%rsp), %xmm12 | |
186 | movups 32(%rsp), %xmm13 | |
187 | movups 16(%rsp), %xmm14 | |
188 | movups (%rsp), %xmm15 | |
189 | movq 136(%rsp), %rsi | |
190 | movq 128(%rsp), %rdi | |
191 | movq 168(%rsp), %r12 | |
192 | cfi_restore (%r12) | |
193 | movq 160(%rsp), %r13 | |
194 | cfi_restore (%r13) | |
195 | movq 152(%rsp), %r14 | |
196 | cfi_restore (%r14) | |
197 | movq 144(%rsp), %r15 | |
198 | cfi_restore (%r15) | |
199 | movups 256(%rsp), %xmm0 | |
200 | jmp .LBL_1_2 | |
201 | ||
202 | .LBL_1_10: | |
203 | cfi_restore_state | |
204 | movzbl %r12b, %r15d | |
205 | shlq $4, %r15 | |
206 | movsd 200(%rsp,%r15), %xmm0 | |
207 | ||
86ed8882 | 208 | call JUMPTARGET(cos) |
21933112 AS |
209 | |
210 | movsd %xmm0, 264(%rsp,%r15) | |
211 | jmp .LBL_1_8 | |
212 | ||
213 | .LBL_1_12: | |
214 | movzbl %r12b, %r15d | |
215 | shlq $4, %r15 | |
216 | movsd 192(%rsp,%r15), %xmm0 | |
217 | ||
86ed8882 | 218 | call JUMPTARGET(cos) |
21933112 AS |
219 | |
220 | movsd %xmm0, 256(%rsp,%r15) | |
221 | jmp .LBL_1_7 | |
222 | ||
223 | END (_ZGVbN2v_cos_sse4) |