1/* Function log1pf vectorized with AVX2.
2 Copyright (C) 2021-2024 Free Software Foundation, Inc.
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 https://www.gnu.org/licenses/. */
18
19/*
20 * ALGORITHM DESCRIPTION:
21 *
22 * 1+x = 2^k*(xh + xl) is computed in high-low parts; xh in [1, 2)
23 * Get short reciprocal approximation Rcp ~ 1/xh
24 * R = (Rcp*xh - 1.0) + Rcp*xl
25 * log1p(x) = k*log(2.0) - log(Rcp) + poly(R)
26 * log(Rcp) is tabulated
27 *
28 *
29 */
30
31/* Offsets for data table __svml_slog1p_data_internal
32 */
33#define SgnMask 0
34#define sOne 32
35#define sPoly 64
36#define iHiDelta 320
37#define iLoRange 352
38#define iBrkValue 384
39#define iOffExpoMask 416
40#define sLn2 448
41
42#include <sysdep.h>
43
44 .section .text.avx2, "ax", @progbits
45ENTRY(_ZGVdN8v_log1pf_avx2)
46 pushq %rbp
47 cfi_def_cfa_offset(16)
48 movq %rsp, %rbp
49 cfi_def_cfa(6, 16)
50 cfi_offset(6, -16)
51 andq $-32, %rsp
52 subq $96, %rsp
53 vmovups sOne+__svml_slog1p_data_internal(%rip), %ymm2
54
55 /* reduction: compute r, n */
56 vmovups iBrkValue+__svml_slog1p_data_internal(%rip), %ymm13
57 vmovups SgnMask+__svml_slog1p_data_internal(%rip), %ymm4
58 vmovups iLoRange+__svml_slog1p_data_internal(%rip), %ymm8
59 vmovaps %ymm0, %ymm3
60
61 /* compute 1+x as high, low parts */
62 vmaxps %ymm3, %ymm2, %ymm5
63 vminps %ymm3, %ymm2, %ymm6
64 vaddps %ymm6, %ymm5, %ymm10
65 vpsubd %ymm13, %ymm10, %ymm11
66
67 /* check argument value ranges */
68 vpaddd iHiDelta+__svml_slog1p_data_internal(%rip), %ymm10, %ymm9
69 vsubps %ymm10, %ymm5, %ymm7
70 vpsrad $23, %ymm11, %ymm14
71 vpand iOffExpoMask+__svml_slog1p_data_internal(%rip), %ymm11, %ymm12
72 vpslld $23, %ymm14, %ymm15
73 vcvtdq2ps %ymm14, %ymm0
74 vpsubd %ymm15, %ymm2, %ymm14
75 vandnps %ymm3, %ymm4, %ymm1
76 vaddps %ymm7, %ymm6, %ymm4
77 vpaddd %ymm13, %ymm12, %ymm6
78 vmulps %ymm4, %ymm14, %ymm7
79
80 /* polynomial evaluation */
81 vsubps %ymm2, %ymm6, %ymm2
82 vpcmpgtd %ymm9, %ymm8, %ymm5
83 vmovups sPoly+224+__svml_slog1p_data_internal(%rip), %ymm8
84 vaddps %ymm2, %ymm7, %ymm9
85 vfmadd213ps sPoly+192+__svml_slog1p_data_internal(%rip), %ymm9, %ymm8
86 vfmadd213ps sPoly+160+__svml_slog1p_data_internal(%rip), %ymm9, %ymm8
87 vfmadd213ps sPoly+128+__svml_slog1p_data_internal(%rip), %ymm9, %ymm8
88 vfmadd213ps sPoly+96+__svml_slog1p_data_internal(%rip), %ymm9, %ymm8
89 vfmadd213ps sPoly+64+__svml_slog1p_data_internal(%rip), %ymm9, %ymm8
90 vfmadd213ps sPoly+32+__svml_slog1p_data_internal(%rip), %ymm9, %ymm8
91 vfmadd213ps sPoly+__svml_slog1p_data_internal(%rip), %ymm9, %ymm8
92 vmulps %ymm8, %ymm9, %ymm10
93 vfmadd213ps %ymm9, %ymm9, %ymm10
94
95 /* final reconstruction */
96 vfmadd132ps sLn2+__svml_slog1p_data_internal(%rip), %ymm10, %ymm0
97
98 /* combine and get argument value range mask */
99 vmovmskps %ymm5, %edx
100 vorps %ymm1, %ymm0, %ymm0
101 testl %edx, %edx
102
103 /* Go to special inputs processing branch */
104 jne L(SPECIAL_VALUES_BRANCH)
105 # LOE rbx r12 r13 r14 r15 edx ymm0 ymm3
106
107 /* Restore registers
108 * and exit the function
109 */
110
111L(EXIT):
112 movq %rbp, %rsp
113 popq %rbp
114 cfi_def_cfa(7, 8)
115 cfi_restore(6)
116 ret
117 cfi_def_cfa(6, 16)
118 cfi_offset(6, -16)
119
120 /* Branch to process
121 * special inputs
122 */
123
124L(SPECIAL_VALUES_BRANCH):
125 vmovups %ymm3, 32(%rsp)
126 vmovups %ymm0, 64(%rsp)
127 # LOE rbx r12 r13 r14 r15 edx ymm0
128
129 xorl %eax, %eax
130 # LOE rbx r12 r13 r14 r15 eax edx
131
132 vzeroupper
133 movq %r12, 16(%rsp)
134 /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */
135 .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22
136 movl %eax, %r12d
137 movq %r13, 8(%rsp)
138 /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */
139 .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22
140 movl %edx, %r13d
141 movq %r14, (%rsp)
142 /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */
143 .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
144 # LOE rbx r15 r12d r13d
145
146 /* Range mask
147 * bits check
148 */
149
150L(RANGEMASK_CHECK):
151 btl %r12d, %r13d
152
153 /* Call scalar math function */
154 jc L(SCALAR_MATH_CALL)
155 # LOE rbx r15 r12d r13d
156
157 /* Special inputs
158 * processing loop
159 */
160
161L(SPECIAL_VALUES_LOOP):
162 incl %r12d
163 cmpl $8, %r12d
164
165 /* Check bits in range mask */
166 jl L(RANGEMASK_CHECK)
167 # LOE rbx r15 r12d r13d
168
169 movq 16(%rsp), %r12
170 cfi_restore(12)
171 movq 8(%rsp), %r13
172 cfi_restore(13)
173 movq (%rsp), %r14
174 cfi_restore(14)
175 vmovups 64(%rsp), %ymm0
176
177 /* Go to exit */
178 jmp L(EXIT)
179 /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */
180 .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22
181 /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */
182 .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22
183 /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */
184 .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
185 # LOE rbx r12 r13 r14 r15 ymm0
186
187 /* Scalar math function call
188 * to process special input
189 */
190
191L(SCALAR_MATH_CALL):
192 movl %r12d, %r14d
193 vmovss 32(%rsp, %r14, 4), %xmm0
194 call log1pf@PLT
195 # LOE rbx r14 r15 r12d r13d xmm0
196
197 vmovss %xmm0, 64(%rsp, %r14, 4)
198
199 /* Process special inputs in loop */
200 jmp L(SPECIAL_VALUES_LOOP)
201 # LOE rbx r15 r12d r13d
202END(_ZGVdN8v_log1pf_avx2)
203
204 .section .rodata, "a"
205 .align 32
206
207#ifdef __svml_slog1p_data_internal_typedef
208typedef unsigned int VUINT32;
209typedef struct {
210 __declspec(align(32)) VUINT32 SgnMask[8][1];
211 __declspec(align(32)) VUINT32 sOne[8][1];
212 __declspec(align(32)) VUINT32 sPoly[8][8][1];
213 __declspec(align(32)) VUINT32 iHiDelta[8][1];
214 __declspec(align(32)) VUINT32 iLoRange[8][1];
215 __declspec(align(32)) VUINT32 iBrkValue[8][1];
216 __declspec(align(32)) VUINT32 iOffExpoMask[8][1];
217 __declspec(align(32)) VUINT32 sLn2[8][1];
218} __svml_slog1p_data_internal;
219#endif
220__svml_slog1p_data_internal:
221 /* SgnMask */
222 .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff
223 /* sOne = SP 1.0 */
224 .align 32
225 .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000
226 /* sPoly[] = SP polynomial */
227 .align 32
228 .long 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000 /* -5.0000000000000000000000000e-01 P0 */
229 .long 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94 /* 3.3333265781402587890625000e-01 P1 */
230 .long 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e /* -2.5004237890243530273437500e-01 P2 */
231 .long 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190 /* 2.0007920265197753906250000e-01 P3 */
232 .long 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37 /* -1.6472326219081878662109375e-01 P4 */
233 .long 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12 /* 1.4042308926582336425781250e-01 P5 */
234 .long 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3 /* -1.5122179687023162841796875e-01 P6 */
235 .long 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed /* 1.3820238411426544189453125e-01 P7 */
236 /* iHiDelta = SP 80000000-7f000000 */
237 .align 32
238 .long 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000
239 /* iLoRange = SP 00800000+iHiDelta */
240 .align 32
241 .long 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000
242 /* iBrkValue = SP 2/3 */
243 .align 32
244 .long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab
245 /* iOffExpoMask = SP significand mask */
246 .align 32
247 .long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff
248 /* sLn2 = SP ln(2) */
249 .align 32
250 .long 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218
251 .align 32
252 .type __svml_slog1p_data_internal, @object
253 .size __svml_slog1p_data_internal, .-__svml_slog1p_data_internal
254

source code of glibc/sysdeps/x86_64/fpu/multiarch/svml_s_log1pf8_core_avx2.S