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9c02f663 | 1 | /* Function exp vectorized with SSE4. |
bfff8b1b | 2 | Copyright (C) 2014-2017 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 | |
17 | <http://www.gnu.org/licenses/>. */ | |
18 | ||
19 | #include <sysdep.h> | |
20 | #include "svml_d_exp_data.h" | |
21 | ||
22 | .text | |
23 | ENTRY (_ZGVbN2v_exp_sse4) | |
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 $320, %rsp | |
51 | movaps %xmm0, %xmm3 | |
52 | movq __svml_dexp_data@GOTPCREL(%rip), %r8 | |
53 | ||
54 | /* iAbsX = (int)(lX>>32), lX = *(longlong*)&X */ | |
55 | pshufd $221, %xmm3, %xmm7 | |
56 | movups __dbInvLn2(%r8), %xmm0 | |
57 | ||
58 | /* dK = X*dbInvLn2 */ | |
59 | mulpd %xmm3, %xmm0 | |
60 | movq __iAbsMask(%r8), %xmm5 | |
61 | movq __iDomainRange(%r8), %xmm6 | |
62 | ||
63 | /* iAbsX = iAbsX&iAbsMask */ | |
64 | pand %xmm5, %xmm7 | |
65 | ||
66 | /* iRangeMask = (iAbsX>iDomainRange) */ | |
67 | pcmpgtd %xmm6, %xmm7 | |
68 | ||
69 | /* Mask = iRangeMask?1:0, set mask for overflow/underflow */ | |
70 | movmskps %xmm7, %eax | |
71 | ||
72 | /* dN = rint(X*2^k/Ln2) */ | |
73 | xorps %xmm7, %xmm7 | |
74 | movups __dbLn2hi(%r8), %xmm5 | |
75 | movups __dbLn2lo(%r8), %xmm6 | |
76 | roundpd $0, %xmm0, %xmm7 | |
77 | ||
78 | /* dR = X - dN*dbLn2hi, dbLn2hi is 52-8-k hi bits of ln2/2^k */ | |
79 | mulpd %xmm7, %xmm5 | |
80 | ||
81 | /* dR = dR - dN*dbLn2lo, dbLn2lo is 40..94 bits of lo part of ln2/2^k */ | |
82 | mulpd %xmm6, %xmm7 | |
83 | movups __dbShifter(%r8), %xmm4 | |
84 | ||
85 | /* dM = X*dbInvLn2+dbShifter */ | |
86 | addpd %xmm0, %xmm4 | |
87 | movaps %xmm3, %xmm0 | |
88 | subpd %xmm5, %xmm0 | |
89 | subpd %xmm7, %xmm0 | |
90 | movups __dPC2(%r8), %xmm5 | |
91 | ||
92 | /* exp(r) = b0+r*(b0+r*(b1+r*b2)) */ | |
93 | mulpd %xmm0, %xmm5 | |
94 | addpd __dPC1(%r8), %xmm5 | |
95 | mulpd %xmm0, %xmm5 | |
96 | movups __dPC0(%r8), %xmm6 | |
97 | addpd %xmm6, %xmm5 | |
98 | mulpd %xmm5, %xmm0 | |
99 | movdqu __lIndexMask(%r8), %xmm2 | |
100 | ||
101 | /* lIndex = (*(longlong*)&dM)&lIndexMask, lIndex is the lower K bits of lM */ | |
102 | movdqa %xmm2, %xmm1 | |
103 | ||
104 | /* lM = (*(longlong*)&dM)&(~lIndexMask) */ | |
105 | pandn %xmm4, %xmm2 | |
106 | pand %xmm4, %xmm1 | |
107 | ||
108 | /* lM = lM<<(52-K), 2^M */ | |
109 | psllq $42, %xmm2 | |
110 | ||
111 | /* table lookup for dT[j] = 2^(j/2^k) */ | |
112 | movd %xmm1, %edx | |
113 | pextrw $4, %xmm1, %ecx | |
114 | addpd %xmm0, %xmm6 | |
115 | shll $3, %edx | |
116 | shll $3, %ecx | |
117 | movq (%r8,%rdx), %xmm0 | |
118 | andl $3, %eax | |
119 | movhpd (%r8,%rcx), %xmm0 | |
120 | ||
121 | /* 2^(j/2^k) * exp(r) */ | |
122 | mulpd %xmm6, %xmm0 | |
123 | ||
124 | /* multiply by 2^M through integer add */ | |
125 | paddq %xmm2, %xmm0 | |
126 | jne .LBL_1_3 | |
127 | ||
128 | .LBL_1_2: | |
129 | cfi_remember_state | |
130 | movq %rbp, %rsp | |
131 | cfi_def_cfa_register (%rsp) | |
132 | popq %rbp | |
133 | cfi_adjust_cfa_offset (-8) | |
134 | cfi_restore (%rbp) | |
135 | ret | |
136 | ||
137 | .LBL_1_3: | |
138 | cfi_restore_state | |
139 | movups %xmm3, 192(%rsp) | |
140 | movups %xmm0, 256(%rsp) | |
141 | je .LBL_1_2 | |
142 | ||
143 | xorb %cl, %cl | |
144 | xorl %edx, %edx | |
145 | movups %xmm8, 112(%rsp) | |
146 | movups %xmm9, 96(%rsp) | |
147 | movups %xmm10, 80(%rsp) | |
148 | movups %xmm11, 64(%rsp) | |
149 | movups %xmm12, 48(%rsp) | |
150 | movups %xmm13, 32(%rsp) | |
151 | movups %xmm14, 16(%rsp) | |
152 | movups %xmm15, (%rsp) | |
153 | movq %rsi, 136(%rsp) | |
154 | movq %rdi, 128(%rsp) | |
155 | movq %r12, 168(%rsp) | |
156 | cfi_offset_rel_rsp (12, 168) | |
157 | movb %cl, %r12b | |
158 | movq %r13, 160(%rsp) | |
159 | cfi_offset_rel_rsp (13, 160) | |
160 | movl %eax, %r13d | |
161 | movq %r14, 152(%rsp) | |
162 | cfi_offset_rel_rsp (14, 152) | |
163 | movl %edx, %r14d | |
164 | movq %r15, 144(%rsp) | |
165 | cfi_offset_rel_rsp (15, 144) | |
166 | cfi_remember_state | |
167 | ||
168 | .LBL_1_6: | |
169 | btl %r14d, %r13d | |
170 | jc .LBL_1_12 | |
171 | ||
172 | .LBL_1_7: | |
173 | lea 1(%r14), %esi | |
174 | btl %esi, %r13d | |
175 | jc .LBL_1_10 | |
176 | ||
177 | .LBL_1_8: | |
178 | incb %r12b | |
179 | addl $2, %r14d | |
180 | cmpb $16, %r12b | |
181 | jb .LBL_1_6 | |
182 | ||
183 | movups 112(%rsp), %xmm8 | |
184 | movups 96(%rsp), %xmm9 | |
185 | movups 80(%rsp), %xmm10 | |
186 | movups 64(%rsp), %xmm11 | |
187 | movups 48(%rsp), %xmm12 | |
188 | movups 32(%rsp), %xmm13 | |
189 | movups 16(%rsp), %xmm14 | |
190 | movups (%rsp), %xmm15 | |
191 | movq 136(%rsp), %rsi | |
192 | movq 128(%rsp), %rdi | |
193 | movq 168(%rsp), %r12 | |
194 | cfi_restore (%r12) | |
195 | movq 160(%rsp), %r13 | |
196 | cfi_restore (%r13) | |
197 | movq 152(%rsp), %r14 | |
198 | cfi_restore (%r14) | |
199 | movq 144(%rsp), %r15 | |
200 | cfi_restore (%r15) | |
201 | movups 256(%rsp), %xmm0 | |
202 | jmp .LBL_1_2 | |
203 | ||
204 | .LBL_1_10: | |
205 | cfi_restore_state | |
206 | movzbl %r12b, %r15d | |
207 | shlq $4, %r15 | |
208 | movsd 200(%rsp,%r15), %xmm0 | |
209 | ||
533f9beb | 210 | call JUMPTARGET(__exp_finite) |
9c02f663 AS |
211 | |
212 | movsd %xmm0, 264(%rsp,%r15) | |
213 | jmp .LBL_1_8 | |
214 | ||
215 | .LBL_1_12: | |
216 | movzbl %r12b, %r15d | |
217 | shlq $4, %r15 | |
218 | movsd 192(%rsp,%r15), %xmm0 | |
219 | ||
533f9beb | 220 | call JUMPTARGET(__exp_finite) |
9c02f663 AS |
221 | |
222 | movsd %xmm0, 256(%rsp,%r15) | |
223 | jmp .LBL_1_7 | |
224 | ||
225 | END (_ZGVbN2v_exp_sse4) |