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9c02f663 | 1 | /* Function exp vectorized with AVX2. |
d614a753 | 2 | Copyright (C) 2014-2020 Free Software Foundation, Inc. |
9c02f663 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/>. */ |
9c02f663 AS |
18 | |
19 | #include <sysdep.h> | |
20 | #include "svml_d_exp_data.h" | |
21 | ||
22 | .text | |
23 | ENTRY (_ZGVdN4v_exp_avx2) | |
24 | /* | |
25 | ALGORITHM DESCRIPTION: | |
26 | ||
27 | Argument representation: | |
28 | N = rint(X*2^k/ln2) = 2^k*M+j | |
29 | X = N*ln2/2^k + r = M*ln2 + ln2*(j/2^k) + r | |
30 | then -ln2/2^(k+1) < r < ln2/2^(k+1) | |
31 | Alternatively: | |
32 | N = trunc(X*2^k/ln2) | |
33 | then 0 < r < ln2/2^k | |
34 | ||
35 | Result calculation: | |
36 | exp(X) = exp(M*ln2 + ln2*(j/2^k) + r) | |
37 | = 2^M * 2^(j/2^k) * exp(r) | |
38 | 2^M is calculated by bit manipulation | |
39 | 2^(j/2^k) is stored in table | |
40 | exp(r) is approximated by polynomial | |
41 | ||
42 | The table lookup is skipped if k = 0. */ | |
43 | ||
44 | pushq %rbp | |
45 | cfi_adjust_cfa_offset (8) | |
46 | cfi_rel_offset (%rbp, 0) | |
47 | movq %rsp, %rbp | |
48 | cfi_def_cfa_register (%rbp) | |
49 | andq $-64, %rsp | |
50 | subq $448, %rsp | |
51 | movq __svml_dexp_data@GOTPCREL(%rip), %rax | |
52 | vmovdqa %ymm0, %ymm2 | |
53 | vmovupd __dbInvLn2(%rax), %ymm3 | |
54 | vmovupd __dbShifter(%rax), %ymm1 | |
55 | vmovupd __lIndexMask(%rax), %ymm4 | |
56 | ||
57 | /* dM = X*dbInvLn2+dbShifter, dbInvLn2 = 2^k/Ln2 */ | |
58 | vfmadd213pd %ymm1, %ymm2, %ymm3 | |
59 | ||
60 | /* iAbsX = (int)(lX>>32), lX = *(longlong*)&X */ | |
61 | vextracti128 $1, %ymm2, %xmm5 | |
62 | vshufps $221, %xmm5, %xmm2, %xmm6 | |
63 | ||
64 | /* iAbsX = iAbsX&iAbsMask */ | |
65 | vandps __iAbsMask(%rax), %xmm6, %xmm7 | |
66 | ||
67 | /* dN = dM-dbShifter, dN = rint(X*2^k/Ln2) */ | |
68 | vsubpd %ymm1, %ymm3, %ymm6 | |
69 | ||
70 | /* iRangeMask = (iAbsX>iDomainRange) */ | |
71 | vpcmpgtd __iDomainRange(%rax), %xmm7, %xmm0 | |
72 | vmovupd __dbLn2hi(%rax), %ymm1 | |
73 | vmovupd __dPC0(%rax), %ymm7 | |
74 | ||
75 | /* Mask = iRangeMask?1:0, set mask for overflow/underflow */ | |
76 | vmovmskps %xmm0, %ecx | |
77 | vmovupd __dPC2(%rax), %ymm0 | |
78 | ||
79 | /* dR = X - dN*dbLn2hi, dbLn2hi is 52-8-k hi bits of ln2/2^k */ | |
80 | vmovdqa %ymm2, %ymm5 | |
81 | vfnmadd231pd %ymm6, %ymm1, %ymm5 | |
82 | ||
83 | /* dR = dR - dN*dbLn2lo, dbLn2lo is 40..94 bits of lo part of ln2/2^k */ | |
84 | vfnmadd132pd __dbLn2lo(%rax), %ymm5, %ymm6 | |
85 | ||
86 | /* exp(r) = b0+r*(b0+r*(b1+r*b2)) */ | |
87 | vfmadd213pd __dPC1(%rax), %ymm6, %ymm0 | |
88 | vfmadd213pd %ymm7, %ymm6, %ymm0 | |
89 | vfmadd213pd %ymm7, %ymm6, %ymm0 | |
90 | ||
91 | /* lIndex = (*(longlong*)&dM)&lIndexMask, lIndex is the lower K bits of lM */ | |
92 | vandps %ymm4, %ymm3, %ymm1 | |
93 | ||
94 | /* table lookup for dT[j] = 2^(j/2^k) */ | |
95 | vxorpd %ymm6, %ymm6, %ymm6 | |
96 | vpcmpeqd %ymm5, %ymm5, %ymm5 | |
97 | vgatherqpd %ymm5, (%rax,%ymm1,8), %ymm6 | |
98 | ||
99 | /* lM = (*(longlong*)&dM)&(~lIndexMask) */ | |
100 | vpandn %ymm3, %ymm4, %ymm3 | |
101 | ||
102 | /* 2^(j/2^k) * exp(r) */ | |
103 | vmulpd %ymm0, %ymm6, %ymm0 | |
104 | ||
105 | /* lM = lM<<(52-K), 2^M */ | |
106 | vpsllq $42, %ymm3, %ymm4 | |
107 | ||
108 | /* multiply by 2^M through integer add */ | |
109 | vpaddq %ymm4, %ymm0, %ymm0 | |
110 | testl %ecx, %ecx | |
111 | jne .LBL_1_3 | |
112 | ||
113 | .LBL_1_2: | |
114 | cfi_remember_state | |
115 | movq %rbp, %rsp | |
116 | cfi_def_cfa_register (%rsp) | |
117 | popq %rbp | |
118 | cfi_adjust_cfa_offset (-8) | |
119 | cfi_restore (%rbp) | |
120 | ret | |
121 | ||
122 | .LBL_1_3: | |
123 | cfi_restore_state | |
124 | vmovupd %ymm2, 320(%rsp) | |
125 | vmovupd %ymm0, 384(%rsp) | |
126 | je .LBL_1_2 | |
127 | ||
128 | xorb %dl, %dl | |
129 | xorl %eax, %eax | |
130 | vmovups %ymm8, 224(%rsp) | |
131 | vmovups %ymm9, 192(%rsp) | |
132 | vmovups %ymm10, 160(%rsp) | |
133 | vmovups %ymm11, 128(%rsp) | |
134 | vmovups %ymm12, 96(%rsp) | |
135 | vmovups %ymm13, 64(%rsp) | |
136 | vmovups %ymm14, 32(%rsp) | |
137 | vmovups %ymm15, (%rsp) | |
138 | movq %rsi, 264(%rsp) | |
139 | movq %rdi, 256(%rsp) | |
140 | movq %r12, 296(%rsp) | |
141 | cfi_offset_rel_rsp (12, 296) | |
142 | movb %dl, %r12b | |
143 | movq %r13, 288(%rsp) | |
144 | cfi_offset_rel_rsp (13, 288) | |
145 | movl %ecx, %r13d | |
146 | movq %r14, 280(%rsp) | |
147 | cfi_offset_rel_rsp (14, 280) | |
148 | movl %eax, %r14d | |
149 | movq %r15, 272(%rsp) | |
150 | cfi_offset_rel_rsp (15, 272) | |
151 | cfi_remember_state | |
152 | ||
153 | .LBL_1_6: | |
154 | btl %r14d, %r13d | |
155 | jc .LBL_1_12 | |
156 | ||
157 | .LBL_1_7: | |
158 | lea 1(%r14), %esi | |
159 | btl %esi, %r13d | |
160 | jc .LBL_1_10 | |
161 | ||
162 | .LBL_1_8: | |
163 | incb %r12b | |
164 | addl $2, %r14d | |
165 | cmpb $16, %r12b | |
166 | jb .LBL_1_6 | |
167 | ||
168 | vmovups 224(%rsp), %ymm8 | |
169 | vmovups 192(%rsp), %ymm9 | |
170 | vmovups 160(%rsp), %ymm10 | |
171 | vmovups 128(%rsp), %ymm11 | |
172 | vmovups 96(%rsp), %ymm12 | |
173 | vmovups 64(%rsp), %ymm13 | |
174 | vmovups 32(%rsp), %ymm14 | |
175 | vmovups (%rsp), %ymm15 | |
176 | vmovupd 384(%rsp), %ymm0 | |
177 | movq 264(%rsp), %rsi | |
178 | movq 256(%rsp), %rdi | |
179 | movq 296(%rsp), %r12 | |
180 | cfi_restore (%r12) | |
181 | movq 288(%rsp), %r13 | |
182 | cfi_restore (%r13) | |
183 | movq 280(%rsp), %r14 | |
184 | cfi_restore (%r14) | |
185 | movq 272(%rsp), %r15 | |
186 | cfi_restore (%r15) | |
187 | jmp .LBL_1_2 | |
188 | ||
189 | .LBL_1_10: | |
190 | cfi_restore_state | |
191 | movzbl %r12b, %r15d | |
192 | shlq $4, %r15 | |
193 | vmovsd 328(%rsp,%r15), %xmm0 | |
194 | vzeroupper | |
195 | ||
d0007dc5 | 196 | call JUMPTARGET(exp) |
9c02f663 AS |
197 | |
198 | vmovsd %xmm0, 392(%rsp,%r15) | |
199 | jmp .LBL_1_8 | |
200 | ||
201 | .LBL_1_12: | |
202 | movzbl %r12b, %r15d | |
203 | shlq $4, %r15 | |
204 | vmovsd 320(%rsp,%r15), %xmm0 | |
205 | vzeroupper | |
206 | ||
d0007dc5 | 207 | call JUMPTARGET(exp) |
9c02f663 AS |
208 | |
209 | vmovsd %xmm0, 384(%rsp,%r15) | |
210 | jmp .LBL_1_7 | |
211 | ||
212 | END (_ZGVdN4v_exp_avx2) |