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21933112 | 1 | /* Function cos vectorized with AVX2. |
04277e02 | 2 | Copyright (C) 2014-2019 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 | |
17 | <http://www.gnu.org/licenses/>. */ | |
18 | ||
19 | #include <sysdep.h> | |
5872b835 | 20 | #include "svml_d_trig_data.h" |
21933112 AS |
21 | |
22 | .text | |
23 | ENTRY (_ZGVdN4v_cos_avx2) | |
24 | ||
25 | /* ALGORITHM DESCRIPTION: | |
26 | ||
27 | ( low accuracy ( < 4ulp ) or enhanced performance | |
28 | ( half of correct mantissa ) implementation ) | |
29 | ||
30 | Argument representation: | |
31 | arg + Pi/2 = (N*Pi + R) | |
32 | ||
33 | Result calculation: | |
34 | cos(arg) = sin(arg+Pi/2) = sin(N*Pi + R) = (-1)^N * sin(R) | |
35 | sin(R) is approximated by corresponding polynomial | |
36 | */ | |
37 | pushq %rbp | |
38 | cfi_adjust_cfa_offset (8) | |
39 | cfi_rel_offset (%rbp, 0) | |
40 | movq %rsp, %rbp | |
41 | cfi_def_cfa_register (%rbp) | |
42 | andq $-64, %rsp | |
43 | subq $448, %rsp | |
5872b835 | 44 | movq __svml_d_trig_data@GOTPCREL(%rip), %rax |
21933112 AS |
45 | vmovapd %ymm0, %ymm1 |
46 | vmovupd __dInvPI(%rax), %ymm4 | |
47 | vmovupd __dRShifter(%rax), %ymm5 | |
48 | ||
49 | /* | |
50 | ARGUMENT RANGE REDUCTION: | |
51 | Add Pi/2 to argument: X' = X+Pi/2 | |
52 | */ | |
53 | vaddpd __dHalfPI(%rax), %ymm1, %ymm7 | |
54 | ||
55 | /* Get absolute argument value: X' = |X'| */ | |
56 | vandpd __dAbsMask(%rax), %ymm7, %ymm2 | |
57 | ||
58 | /* Y = X'*InvPi + RS : right shifter add */ | |
59 | vfmadd213pd %ymm5, %ymm4, %ymm7 | |
60 | vmovupd __dC7(%rax), %ymm4 | |
61 | ||
62 | /* Check for large arguments path */ | |
63 | vcmpnle_uqpd __dRangeVal(%rax), %ymm2, %ymm3 | |
64 | ||
65 | /* N = Y - RS : right shifter sub */ | |
66 | vsubpd %ymm5, %ymm7, %ymm6 | |
67 | vmovupd __dPI1_FMA(%rax), %ymm2 | |
68 | ||
69 | /* SignRes = Y<<63 : shift LSB to MSB place for result sign */ | |
70 | vpsllq $63, %ymm7, %ymm7 | |
71 | ||
72 | /* N = N - 0.5 */ | |
73 | vsubpd __dOneHalf(%rax), %ymm6, %ymm0 | |
74 | vmovmskpd %ymm3, %ecx | |
75 | ||
76 | /* R = X - N*Pi1 */ | |
77 | vmovapd %ymm1, %ymm3 | |
78 | vfnmadd231pd %ymm0, %ymm2, %ymm3 | |
79 | ||
80 | /* R = R - N*Pi2 */ | |
81 | vfnmadd231pd __dPI2_FMA(%rax), %ymm0, %ymm3 | |
82 | ||
83 | /* R = R - N*Pi3 */ | |
84 | vfnmadd132pd __dPI3_FMA(%rax), %ymm3, %ymm0 | |
85 | ||
86 | /* POLYNOMIAL APPROXIMATION: R2 = R*R */ | |
87 | vmulpd %ymm0, %ymm0, %ymm5 | |
88 | vfmadd213pd __dC6(%rax), %ymm5, %ymm4 | |
89 | vfmadd213pd __dC5(%rax), %ymm5, %ymm4 | |
90 | vfmadd213pd __dC4(%rax), %ymm5, %ymm4 | |
91 | ||
92 | /* Poly = C3+R2*(C4+R2*(C5+R2*(C6+R2*C7))) */ | |
93 | vfmadd213pd __dC3(%rax), %ymm5, %ymm4 | |
94 | ||
95 | /* Poly = R+R*(R2*(C1+R2*(C2+R2*Poly))) */ | |
96 | vfmadd213pd __dC2(%rax), %ymm5, %ymm4 | |
97 | vfmadd213pd __dC1(%rax), %ymm5, %ymm4 | |
98 | vmulpd %ymm5, %ymm4, %ymm6 | |
99 | vfmadd213pd %ymm0, %ymm0, %ymm6 | |
100 | ||
101 | /* | |
102 | RECONSTRUCTION: | |
103 | Final sign setting: Res = Poly^SignRes */ | |
104 | vxorpd %ymm7, %ymm6, %ymm0 | |
105 | testl %ecx, %ecx | |
106 | jne .LBL_1_3 | |
107 | ||
108 | .LBL_1_2: | |
109 | cfi_remember_state | |
110 | movq %rbp, %rsp | |
111 | cfi_def_cfa_register (%rsp) | |
112 | popq %rbp | |
113 | cfi_adjust_cfa_offset (-8) | |
114 | cfi_restore (%rbp) | |
115 | ret | |
116 | ||
117 | .LBL_1_3: | |
118 | cfi_restore_state | |
119 | vmovupd %ymm1, 320(%rsp) | |
120 | vmovupd %ymm0, 384(%rsp) | |
121 | je .LBL_1_2 | |
122 | ||
123 | xorb %dl, %dl | |
124 | xorl %eax, %eax | |
125 | vmovups %ymm8, 224(%rsp) | |
126 | vmovups %ymm9, 192(%rsp) | |
127 | vmovups %ymm10, 160(%rsp) | |
128 | vmovups %ymm11, 128(%rsp) | |
129 | vmovups %ymm12, 96(%rsp) | |
130 | vmovups %ymm13, 64(%rsp) | |
131 | vmovups %ymm14, 32(%rsp) | |
132 | vmovups %ymm15, (%rsp) | |
133 | movq %rsi, 264(%rsp) | |
134 | movq %rdi, 256(%rsp) | |
135 | movq %r12, 296(%rsp) | |
136 | cfi_offset_rel_rsp (12, 296) | |
137 | movb %dl, %r12b | |
138 | movq %r13, 288(%rsp) | |
139 | cfi_offset_rel_rsp (13, 288) | |
140 | movl %ecx, %r13d | |
141 | movq %r14, 280(%rsp) | |
142 | cfi_offset_rel_rsp (14, 280) | |
143 | movl %eax, %r14d | |
144 | movq %r15, 272(%rsp) | |
145 | cfi_offset_rel_rsp (15, 272) | |
146 | cfi_remember_state | |
147 | ||
148 | .LBL_1_6: | |
149 | btl %r14d, %r13d | |
150 | jc .LBL_1_12 | |
151 | ||
152 | .LBL_1_7: | |
153 | lea 1(%r14), %esi | |
154 | btl %esi, %r13d | |
155 | jc .LBL_1_10 | |
156 | ||
157 | .LBL_1_8: | |
158 | incb %r12b | |
159 | addl $2, %r14d | |
160 | cmpb $16, %r12b | |
161 | jb .LBL_1_6 | |
162 | ||
163 | vmovups 224(%rsp), %ymm8 | |
164 | vmovups 192(%rsp), %ymm9 | |
165 | vmovups 160(%rsp), %ymm10 | |
166 | vmovups 128(%rsp), %ymm11 | |
167 | vmovups 96(%rsp), %ymm12 | |
168 | vmovups 64(%rsp), %ymm13 | |
169 | vmovups 32(%rsp), %ymm14 | |
170 | vmovups (%rsp), %ymm15 | |
171 | vmovupd 384(%rsp), %ymm0 | |
172 | movq 264(%rsp), %rsi | |
173 | movq 256(%rsp), %rdi | |
174 | movq 296(%rsp), %r12 | |
175 | cfi_restore (%r12) | |
176 | movq 288(%rsp), %r13 | |
177 | cfi_restore (%r13) | |
178 | movq 280(%rsp), %r14 | |
179 | cfi_restore (%r14) | |
180 | movq 272(%rsp), %r15 | |
181 | cfi_restore (%r15) | |
182 | jmp .LBL_1_2 | |
183 | ||
184 | .LBL_1_10: | |
185 | cfi_restore_state | |
186 | movzbl %r12b, %r15d | |
187 | shlq $4, %r15 | |
188 | vmovsd 328(%rsp,%r15), %xmm0 | |
189 | vzeroupper | |
190 | ||
86ed8882 | 191 | call JUMPTARGET(cos) |
21933112 AS |
192 | |
193 | vmovsd %xmm0, 392(%rsp,%r15) | |
194 | jmp .LBL_1_8 | |
195 | ||
196 | .LBL_1_12: | |
197 | movzbl %r12b, %r15d | |
198 | shlq $4, %r15 | |
199 | vmovsd 320(%rsp,%r15), %xmm0 | |
200 | vzeroupper | |
201 | ||
86ed8882 | 202 | call JUMPTARGET(cos) |
21933112 AS |
203 | |
204 | vmovsd %xmm0, 384(%rsp,%r15) | |
205 | jmp .LBL_1_7 | |
206 | ||
207 | END (_ZGVdN4v_cos_avx2) |