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1663be05 | 1 | /* Function expf vectorized with AVX2. |
dff8da6b | 2 | Copyright (C) 2014-2024 Free Software Foundation, Inc. |
1663be05 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/>. */ |
1663be05 AS |
18 | |
19 | #include <sysdep.h> | |
20 | #include "svml_s_expf_data.h" | |
21 | ||
e1d082d9 | 22 | .section .text.avx2, "ax", @progbits |
1663be05 AS |
23 | ENTRY(_ZGVdN8v_expf_avx2) |
24 | /* | |
25 | ALGORITHM DESCRIPTION: | |
26 | ||
27 | Argument representation: | |
28 | M = rint(X*2^k/ln2) = 2^k*N+j | |
29 | X = M*ln2/2^k + r = N*ln2 + ln2*(j/2^k) + r | |
30 | then -ln2/2^(k+1) < r < ln2/2^(k+1) | |
31 | Alternatively: | |
32 | M = trunc(X*2^k/ln2) | |
33 | then 0 < r < ln2/2^k | |
34 | ||
35 | Result calculation: | |
36 | exp(X) = exp(N*ln2 + ln2*(j/2^k) + r) | |
37 | = 2^N * 2^(j/2^k) * exp(r) | |
38 | 2^N is calculated by bit manipulation | |
39 | 2^(j/2^k) is computed from table lookup | |
40 | exp(r) is approximated by polynomial | |
41 | ||
42 | The table lookup is skipped if k = 0. | |
43 | For low accuracy approximation, exp(r) ~ 1 or 1+r. */ | |
44 | ||
45 | pushq %rbp | |
46 | cfi_adjust_cfa_offset (8) | |
47 | cfi_rel_offset (%rbp, 0) | |
48 | movq %rsp, %rbp | |
49 | cfi_def_cfa_register (%rbp) | |
50 | andq $-64, %rsp | |
51 | subq $448, %rsp | |
52 | movq __svml_sexp_data@GOTPCREL(%rip), %rax | |
53 | vmovaps %ymm0, %ymm2 | |
54 | vmovups __sInvLn2(%rax), %ymm7 | |
55 | vmovups __sShifter(%rax), %ymm4 | |
56 | vmovups __sLn2hi(%rax), %ymm3 | |
57 | vmovups __sPC5(%rax), %ymm1 | |
58 | ||
59 | /* m = x*2^k/ln2 + shifter */ | |
60 | vfmadd213ps %ymm4, %ymm2, %ymm7 | |
61 | ||
62 | /* n = m - shifter = rint(x*2^k/ln2) */ | |
63 | vsubps %ymm4, %ymm7, %ymm0 | |
64 | vpaddd __iBias(%rax), %ymm7, %ymm4 | |
65 | ||
66 | /* remove sign of x by "and" operation */ | |
67 | vandps __iAbsMask(%rax), %ymm2, %ymm5 | |
68 | ||
69 | /* compare against threshold */ | |
70 | vpcmpgtd __iDomainRange(%rax), %ymm5, %ymm6 | |
71 | ||
72 | /* r = x-n*ln2_hi/2^k */ | |
73 | vmovaps %ymm2, %ymm5 | |
74 | vfnmadd231ps %ymm0, %ymm3, %ymm5 | |
75 | ||
76 | /* r = r-n*ln2_lo/2^k = x - n*ln2/2^k */ | |
77 | vfnmadd132ps __sLn2lo(%rax), %ymm5, %ymm0 | |
78 | ||
79 | /* c5*r+c4 */ | |
80 | vfmadd213ps __sPC4(%rax), %ymm0, %ymm1 | |
81 | ||
82 | /* (c5*r+c4)*r+c3 */ | |
83 | vfmadd213ps __sPC3(%rax), %ymm0, %ymm1 | |
84 | ||
85 | /* ((c5*r+c4)*r+c3)*r+c2 */ | |
86 | vfmadd213ps __sPC2(%rax), %ymm0, %ymm1 | |
87 | ||
88 | /* (((c5*r+c4)*r+c3)*r+c2)*r+c1 */ | |
89 | vfmadd213ps __sPC1(%rax), %ymm0, %ymm1 | |
90 | ||
91 | /* exp(r) = ((((c5*r+c4)*r+c3)*r+c2)*r+c1)*r+c0 */ | |
92 | vfmadd213ps __sPC0(%rax), %ymm0, %ymm1 | |
93 | ||
94 | /* set mask for overflow/underflow */ | |
95 | vmovmskps %ymm6, %ecx | |
96 | ||
97 | /* compute 2^N with "shift" */ | |
98 | vpslld $23, %ymm4, %ymm6 | |
99 | ||
100 | /* 2^N*exp(r) */ | |
101 | vmulps %ymm1, %ymm6, %ymm0 | |
102 | testl %ecx, %ecx | |
103 | jne .LBL_1_3 | |
104 | ||
105 | .LBL_1_2: | |
106 | cfi_remember_state | |
107 | movq %rbp, %rsp | |
108 | cfi_def_cfa_register (%rsp) | |
109 | popq %rbp | |
110 | cfi_adjust_cfa_offset (-8) | |
111 | cfi_restore (%rbp) | |
112 | ret | |
113 | ||
114 | .LBL_1_3: | |
115 | cfi_restore_state | |
116 | vmovups %ymm2, 320(%rsp) | |
117 | vmovups %ymm0, 384(%rsp) | |
118 | je .LBL_1_2 | |
119 | ||
120 | xorb %dl, %dl | |
121 | xorl %eax, %eax | |
122 | vmovups %ymm8, 224(%rsp) | |
123 | vmovups %ymm9, 192(%rsp) | |
124 | vmovups %ymm10, 160(%rsp) | |
125 | vmovups %ymm11, 128(%rsp) | |
126 | vmovups %ymm12, 96(%rsp) | |
127 | vmovups %ymm13, 64(%rsp) | |
128 | vmovups %ymm14, 32(%rsp) | |
129 | vmovups %ymm15, (%rsp) | |
130 | movq %rsi, 264(%rsp) | |
131 | movq %rdi, 256(%rsp) | |
132 | movq %r12, 296(%rsp) | |
133 | cfi_offset_rel_rsp (12, 296) | |
134 | movb %dl, %r12b | |
135 | movq %r13, 288(%rsp) | |
136 | cfi_offset_rel_rsp (13, 288) | |
137 | movl %ecx, %r13d | |
138 | movq %r14, 280(%rsp) | |
139 | cfi_offset_rel_rsp (14, 280) | |
140 | movl %eax, %r14d | |
141 | movq %r15, 272(%rsp) | |
142 | cfi_offset_rel_rsp (15, 272) | |
143 | cfi_remember_state | |
144 | ||
145 | .LBL_1_6: | |
146 | btl %r14d, %r13d | |
147 | jc .LBL_1_12 | |
148 | ||
149 | .LBL_1_7: | |
150 | lea 1(%r14), %esi | |
151 | btl %esi, %r13d | |
152 | jc .LBL_1_10 | |
153 | ||
154 | .LBL_1_8: | |
155 | incb %r12b | |
156 | addl $2, %r14d | |
157 | cmpb $16, %r12b | |
158 | jb .LBL_1_6 | |
159 | ||
160 | vmovups 224(%rsp), %ymm8 | |
161 | vmovups 192(%rsp), %ymm9 | |
162 | vmovups 160(%rsp), %ymm10 | |
163 | vmovups 128(%rsp), %ymm11 | |
164 | vmovups 96(%rsp), %ymm12 | |
165 | vmovups 64(%rsp), %ymm13 | |
166 | vmovups 32(%rsp), %ymm14 | |
167 | vmovups (%rsp), %ymm15 | |
168 | vmovups 384(%rsp), %ymm0 | |
169 | movq 264(%rsp), %rsi | |
170 | movq 256(%rsp), %rdi | |
171 | movq 296(%rsp), %r12 | |
172 | cfi_restore (%r12) | |
173 | movq 288(%rsp), %r13 | |
174 | cfi_restore (%r13) | |
175 | movq 280(%rsp), %r14 | |
176 | cfi_restore (%r14) | |
177 | movq 272(%rsp), %r15 | |
178 | cfi_restore (%r15) | |
179 | jmp .LBL_1_2 | |
180 | ||
181 | .LBL_1_10: | |
182 | cfi_restore_state | |
183 | movzbl %r12b, %r15d | |
184 | vmovss 324(%rsp,%r15,8), %xmm0 | |
185 | vzeroupper | |
186 | ||
d0007dc5 | 187 | call JUMPTARGET(expf) |
1663be05 AS |
188 | |
189 | vmovss %xmm0, 388(%rsp,%r15,8) | |
190 | jmp .LBL_1_8 | |
191 | ||
192 | .LBL_1_12: | |
193 | movzbl %r12b, %r15d | |
194 | vmovss 320(%rsp,%r15,8), %xmm0 | |
195 | vzeroupper | |
196 | ||
d0007dc5 | 197 | call JUMPTARGET(expf) |
1663be05 AS |
198 | |
199 | vmovss %xmm0, 384(%rsp,%r15,8) | |
200 | jmp .LBL_1_7 | |
201 | ||
202 | END(_ZGVdN8v_expf_avx2) |