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mes123456
2026-08-12 04:47:48 -04:00
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145
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dnl ARM mpn_addmul_1 optimised for A15.
dnl Copyright 2012, 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb best
C StrongARM: -
C XScale ?
C Cortex-A7 ?
C Cortex-A8 ?
C Cortex-A9 6 3.25
C Cortex-A15 2 this
C This code uses umlal for adding in the rp[] data, keeping the recurrency path
C separate from any multiply instructions. It performs well on A15, at umlal's
C bandwidth.
C
C An A9 variant should perhaps stick to 3-way unrolling, and use ldm and stm
C for all loads and stores. Alternatively, it could do 2-way or 4-way, but
C then alignment aware code will be necessary (adding O(1) bookkeeping
C overhead).
C
C We don't use r12 due to ldrd and strd limitations.
C Architecture requirements:
C v5 -
C v5t -
C v5te ldrd strd
C v6 -
C v6t2 -
C v7a -
define(`rp', `r0')
define(`up', `r1')
define(`n', `r2')
define(`v0', `r3')
define(`w0', `r10') define(`w1', `r11')
define(`u0', `r8') define(`u1', `r9')
ASM_START()
PROLOGUE(mpn_addmul_1)
push { r4-r11 }
ands r6, n, #3
sub n, n, #3
beq L(b00)
cmp r6, #2
bcc L(b01)
beq L(b10)
L(b11): mov r6, #0
cmn r13, #0 C carry clear
ldr u1, [up], #-4
ldr w1, [rp], #-4
mov r7, #0
b L(mid)
L(b00): ldrd u0, u1, [up]
ldrd w0, w1, [rp]
mov r6, #0
umlal w0, r6, u0, v0
cmn r13, #0 C carry clear
mov r7, #0
str w0, [rp]
b L(mid)
L(b10): ldrd u0, u1, [up], #8
ldrd w0, w1, [rp]
mov r4, #0
umlal w0, r4, u0, v0
cmn r13, #0 C carry clear
mov r5, #0
str w0, [rp], #8
umlal w1, r5, u1, v0
tst n, n
bmi L(end)
b L(top)
L(b01): mov r4, #0
ldr u1, [up], #4
ldr w1, [rp], #4
mov r5, #0
umlal w1, r5, u1, v0
tst n, n
bmi L(end)
ALIGN(16)
L(top): ldrd u0, u1, [up, #0]
adcs r4, r4, w1
ldrd w0, w1, [rp, #0]
mov r6, #0
umlal w0, r6, u0, v0 C 1 2
adcs r5, r5, w0
mov r7, #0
strd r4, r5, [rp, #-4]
L(mid): umlal w1, r7, u1, v0 C 2 3
ldrd u0, u1, [up, #8]
adcs r6, r6, w1
ldrd w0, w1, [rp, #8]
mov r4, #0
umlal w0, r4, u0, v0 C 3 4
adcs r7, r7, w0
mov r5, #0
strd r6, r7, [rp, #4]
umlal w1, r5, u1, v0 C 0 1
sub n, n, #4
add up, up, #16
add rp, rp, #16
tst n, n
bpl L(top)
L(end): adcs r4, r4, w1
str r4, [rp, #-4]
adc r0, r5, #0
pop { r4-r11 }
bx r14
EPILOGUE()

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dnl ARM mpn_add_n/mpn_sub_n optimised for A15.
dnl Copyright 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb best
C StrongARM: -
C XScale ?
C Cortex-A7 ?
C Cortex-A8 ?
C Cortex-A9 3.55 2.5
C Cortex-A15 1.27 this
C This was a major improvement compared to the code we had before, but it might
C not be the best 8-way code possible. We've tried some permutations of auto-
C increments and separate pointer updates, but they all ran at the same speed
C on A15.
C Architecture requirements:
C v5 -
C v5t -
C v5te ldrd strd
C v6 -
C v6t2 -
C v7a -
define(`rp', `r0')
define(`up', `r1')
define(`vp', `r2')
define(`n', `r3')
ifdef(`OPERATION_add_n', `
define(`ADDSUBC', adcs)
define(`IFADD', `$1')
define(`SETCY', `cmp $1, #1')
define(`RETVAL', `adc r0, n, #0')
define(`RETVAL2', `adc r0, n, #1')
define(`func', mpn_add_n)
define(`func_nc', mpn_add_nc)')
ifdef(`OPERATION_sub_n', `
define(`ADDSUBC', sbcs)
define(`IFADD', `')
define(`SETCY', `rsbs $1, $1, #0')
define(`RETVAL', `sbc r0, r0, r0
and r0, r0, #1')
define(`RETVAL2', `RETVAL')
define(`func', mpn_sub_n)
define(`func_nc', mpn_sub_nc)')
MULFUNC_PROLOGUE(mpn_add_n mpn_add_nc mpn_sub_n mpn_sub_nc)
ASM_START()
PROLOGUE(func_nc)
ldr r12, [sp]
b L(ent)
EPILOGUE()
PROLOGUE(func)
mov r12, #0
L(ent): push { r4-r9 }
ands r6, n, #3
mov n, n, lsr #2
beq L(b00)
cmp r6, #2
bcc L(b01)
beq L(b10)
L(b11): ldr r5, [up], #4
ldr r7, [vp], #4
SETCY( r12)
ADDSUBC r9, r5, r7
ldrd r4, r5, [up, #0]
ldrd r6, r7, [vp, #0]
str r9, [rp], #-4
b L(lo)
L(b00): ldrd r4, r5, [up], #-8
ldrd r6, r7, [vp], #-8
SETCY( r12)
sub rp, rp, #16
b L(mid)
L(b01): ldr r5, [up], #-4
ldr r7, [vp], #-4
SETCY( r12)
ADDSUBC r9, r5, r7
str r9, [rp], #-12
tst n, n
beq L(wd1)
L(gt1): ldrd r4, r5, [up, #8]
ldrd r6, r7, [vp, #8]
b L(mid)
L(b10): ldrd r4, r5, [up]
ldrd r6, r7, [vp]
SETCY( r12)
sub rp, rp, #8
b L(lo)
ALIGN(16)
L(top): ldrd r4, r5, [up, #8]
ldrd r6, r7, [vp, #8]
strd r8, r9, [rp, #8]
L(mid): ADDSUBC r8, r4, r6
ADDSUBC r9, r5, r7
ldrd r4, r5, [up, #16]
ldrd r6, r7, [vp, #16]
strd r8, r9, [rp, #16]
ADDSUBC r8, r4, r6
ADDSUBC r9, r5, r7
sub n, n, #2
tst n, n
bmi L(dne)
ldrd r4, r5, [up, #24]
ldrd r6, r7, [vp, #24]
strd r8, r9, [rp, #24]
ADDSUBC r8, r4, r6
ADDSUBC r9, r5, r7
ldrd r4, r5, [up, #32]!
ldrd r6, r7, [vp, #32]!
strd r8, r9, [rp, #32]!
L(lo): ADDSUBC r8, r4, r6
ADDSUBC r9, r5, r7
tst n, n
bne L(top)
L(end): strd r8, r9, [rp, #8]
L(wd1): RETVAL
pop { r4-r9 }
bx r14
L(dne): strd r8, r9, [rp, #24]
RETVAL2
pop { r4-r9 }
bx r14
EPILOGUE()

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dnl ARM mpn_bdiv_q_1, mpn_pi1_bdiv_q_1 -- Hensel division by 1-limb divisor.
dnl Contributed to the GNU project by Torbjörn Granlund.
dnl Copyright 2012, 2013, 2017 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
MULFUNC_PROLOGUE(mpn_bdiv_q_1 mpn_pi1_bdiv_q_1)
include_mpn(`arm/v7a/cora8/bdiv_q_1.asm')

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dnl ARM mpn_cnd_add_n/mpn_cnd_sub_n optimised for A15.
dnl Copyright 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb best
C StrongARM: -
C XScale ?
C Cortex-A7 ?
C Cortex-A8 ?
C Cortex-A9 3.75 3
C Cortex-A15 1.78 this
C This code does not run as well as one could have hoped, since 1.5 c/l seems
C realistic for this insn mix.
C Architecture requirements:
C v5 -
C v5t -
C v5te ldrd strd
C v6 -
C v6t2 -
C v7a -
define(`cnd',`r0')
define(`rp', `r1')
define(`up', `r2')
define(`vp', `r3')
define(`n', `r12')
ifdef(`OPERATION_cnd_add_n', `
define(`ADDSUB', adds)
define(`ADDSUBC', adcs)
define(`IFADD', `$1')
define(`INITCY', `cmn r0, #0')
define(`RETVAL', `adc r0, n, #0')
define(`RETVAL2', `adc r0, n, #1')
define(`func', mpn_cnd_add_n)
define(`func_nc', mpn_add_nc)')
ifdef(`OPERATION_cnd_sub_n', `
define(`ADDSUB', subs)
define(`ADDSUBC', sbcs)
define(`IFADD', `')
define(`INITCY', `cmp r0, #0')
define(`RETVAL', `sbc r0, r0, r0
and r0, r0, #1')
define(`RETVAL2', `RETVAL')
define(`func', mpn_cnd_sub_n)
define(`func_nc', mpn_sub_nc)')
MULFUNC_PROLOGUE(mpn_cnd_add_n mpn_cnd_sub_n)
ASM_START()
PROLOGUE(func)
ldr n, [sp]
push { r4-r9 }
cmp cnd, #1
sbc cnd, cnd, cnd C conditionally set to 0xffffffff
ands r6, n, #3
mov n, n, lsr #2
beq L(b00)
cmp r6, #2
bcc L(b01)
beq L(b10)
L(b11): ldr r5, [up], #4
ldr r7, [vp], #4
bic r7, r7, cnd
ADDSUB r9, r5, r7
ldrd r4, r5, [up, #0]
ldrd r6, r7, [vp, #0]
bic r6, r6, cnd
bic r7, r7, cnd
str r9, [rp], #-4
b L(lo)
L(b00): ldrd r4, r5, [up], #-8
ldrd r6, r7, [vp], #-8
bic r6, r6, cnd
bic r7, r7, cnd
INITCY
sub rp, rp, #16
b L(mid)
L(b01): ldr r5, [up], #-4
ldr r7, [vp], #-4
bic r7, r7, cnd
ADDSUB r9, r5, r7
str r9, [rp], #-12
tst n, n
beq L(wd1)
L(gt1): ldrd r4, r5, [up, #8]
ldrd r6, r7, [vp, #8]
bic r6, r6, cnd
bic r7, r7, cnd
b L(mid)
L(b10): ldrd r4, r5, [up]
ldrd r6, r7, [vp]
bic r6, r6, cnd
bic r7, r7, cnd
INITCY
sub rp, rp, #8
b L(lo)
ALIGN(16)
L(top): ldrd r6, r7, [vp, #8]
ldrd r4, r5, [up, #8]
bic r6, r6, cnd
bic r7, r7, cnd
strd r8, r9, [rp, #8]
L(mid): ADDSUBC r8, r4, r6
ADDSUBC r9, r5, r7
ldrd r6, r7, [vp, #16]!
ldrd r4, r5, [up, #16]!
bic r6, r6, cnd
bic r7, r7, cnd
sub n, n, #1
strd r8, r9, [rp, #16]!
L(lo): ADDSUBC r8, r4, r6
ADDSUBC r9, r5, r7
tst n, n
bne L(top)
L(end): strd r8, r9, [rp, #8]
L(wd1): RETVAL
pop { r4-r9 }
bx r14
EPILOGUE()

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dnl ARM mpn_com optimised for A15.
dnl Contributed to the GNU project by Torbjörn Granlund.
dnl Copyright 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb
C StrongARM ?
C XScale ?
C Cortex-A7 ?
C Cortex-A8 ?
C Cortex-A9 2.5
C Cortex-A15 1.0
C This is great A15 core register code, but it is a bit large.
C We use FEEDIN_VARIANT 1 to save some space, but use 8-way unrolling.
C Architecture requirements:
C v5 -
C v5t -
C v5te ldrd strd
C v6 -
C v6t2 -
C v7a -
define(`FEEDIN_VARIANT', 1) C alternatives: 0 1 2
define(`UNROLL', 4x2) C alternatives: 4 4x2
define(`rp', `r0')
define(`up', `r1')
define(`n', `r2')
ASM_START()
PROLOGUE(mpn_com)
push { r4-r5,r8-r9 }
ifelse(FEEDIN_VARIANT,0,`
ands r12, n, #3
mov n, n, lsr #2
beq L(b00a)
tst r12, #1
beq L(bx0)
ldr r5, [up], #4
mvn r9, r5
str r9, [rp], #4
tst r12, #2
beq L(b00)
L(bx0): ldrd r4, r5, [up, #0]
sub rp, rp, #8
b L(lo)
L(b00): tst n, n
beq L(wd1)
L(b00a):ldrd r4, r5, [up], #-8
sub rp, rp, #16
b L(mid)
')
ifelse(FEEDIN_VARIANT,1,`
and r12, n, #3
mov n, n, lsr #2
tst r12, #1
beq L(bx0)
ldr r5, [up], #4
mvn r9, r5
str r9, [rp], #4
L(bx0): tst r12, #2
beq L(b00)
ldrd r4, r5, [up, #0]
sub rp, rp, #8
b L(lo)
L(b00): tst n, n
beq L(wd1)
ldrd r4, r5, [up], #-8
sub rp, rp, #16
b L(mid)
')
ifelse(FEEDIN_VARIANT,2,`
ands r12, n, #3
mov n, n, lsr #2
beq L(b00)
cmp r12, #2
bcc L(b01)
beq L(b10)
L(b11): ldr r5, [up], #4
mvn r9, r5
ldrd r4, r5, [up, #0]
str r9, [rp], #-4
b L(lo)
L(b00): ldrd r4, r5, [up], #-8
sub rp, rp, #16
b L(mid)
L(b01): ldr r5, [up], #-4
mvn r9, r5
str r9, [rp], #-12
tst n, n
beq L(wd1)
L(gt1): ldrd r4, r5, [up, #8]
b L(mid)
L(b10): ldrd r4, r5, [up]
sub rp, rp, #8
b L(lo)
')
ALIGN(16)
ifelse(UNROLL,4,`
L(top): ldrd r4, r5, [up, #8]
strd r8, r9, [rp, #8]
L(mid): mvn r8, r4
mvn r9, r5
ldrd r4, r5, [up, #16]!
strd r8, r9, [rp, #16]!
sub n, n, #1
L(lo): mvn r8, r4
mvn r9, r5
tst n, n
bne L(top)
')
ifelse(UNROLL,4x2,`
L(top): ldrd r4, r5, [up, #8]
strd r8, r9, [rp, #8]
L(mid): mvn r8, r4
mvn r9, r5
ldrd r4, r5, [up, #16]
strd r8, r9, [rp, #16]
mvn r8, r4
mvn r9, r5
sub n, n, #2
tst n, n
bmi L(dne)
ldrd r4, r5, [up, #24]
strd r8, r9, [rp, #24]
mvn r8, r4
mvn r9, r5
ldrd r4, r5, [up, #32]!
strd r8, r9, [rp, #32]!
L(lo): mvn r8, r4
mvn r9, r5
tst n, n
bne L(top)
')
L(end): strd r8, r9, [rp, #8]
L(wd1): pop { r4-r5,r8-r9 }
bx r14
ifelse(UNROLL,4x2,`
L(dne): strd r8, r9, [rp, #24]
pop { r4-r5,r8-r9 }
bx r14
')
EPILOGUE()

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/* gmp-mparam.h -- Compiler/machine parameter header file.
Copyright 2019 Free Software Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of either:
* the GNU Lesser General Public License as published by the Free
Software Foundation; either version 3 of the License, or (at your
option) any later version.
or
* the GNU General Public License as published by the Free Software
Foundation; either version 2 of the License, or (at your option) any
later version.
or both in parallel, as here.
The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library. If not,
see https://www.gnu.org/licenses/. */
#define GMP_LIMB_BITS 32
#define GMP_LIMB_BYTES 4
/* 2000 MHz Cortex-A15 with Neon (in spite of file position) */
/* FFT tuning limit = 50,736,668 */
/* Generated by tuneup.c, 2019-10-22, gcc 5.4 */
#define MOD_1_NORM_THRESHOLD 0 /* always */
#define MOD_1_UNNORM_THRESHOLD 0 /* always */
#define MOD_1N_TO_MOD_1_1_THRESHOLD 3
#define MOD_1U_TO_MOD_1_1_THRESHOLD 2
#define MOD_1_1_TO_MOD_1_2_THRESHOLD 10
#define MOD_1_2_TO_MOD_1_4_THRESHOLD MP_SIZE_T_MAX
#define PREINV_MOD_1_TO_MOD_1_THRESHOLD 8
#define USE_PREINV_DIVREM_1 1 /* native */
#define DIV_QR_1N_PI1_METHOD 1 /* 49.14% faster than 2 */
#define DIV_QR_1_NORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIV_QR_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIV_QR_2_PI2_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIVEXACT_1_THRESHOLD 0 /* always (native) */
#define BMOD_1_TO_MOD_1_THRESHOLD 17
#define DIV_1_VS_MUL_1_PERCENT 267
#define MUL_TOOM22_THRESHOLD 28
#define MUL_TOOM33_THRESHOLD 114
#define MUL_TOOM44_THRESHOLD 178
#define MUL_TOOM6H_THRESHOLD 238
#define MUL_TOOM8H_THRESHOLD 597
#define MUL_TOOM32_TO_TOOM43_THRESHOLD 113
#define MUL_TOOM32_TO_TOOM53_THRESHOLD 115
#define MUL_TOOM42_TO_TOOM53_THRESHOLD 115
#define MUL_TOOM42_TO_TOOM63_THRESHOLD 115
#define MUL_TOOM43_TO_TOOM54_THRESHOLD 154
#define SQR_BASECASE_THRESHOLD 0 /* always (native) */
#define SQR_TOOM2_THRESHOLD 38
#define SQR_TOOM3_THRESHOLD 126
#define SQR_TOOM4_THRESHOLD 336
#define SQR_TOOM6_THRESHOLD 446
#define SQR_TOOM8_THRESHOLD 650
#define MULMID_TOOM42_THRESHOLD 52
#define MULMOD_BNM1_THRESHOLD 23
#define SQRMOD_BNM1_THRESHOLD 17
#define MUL_FFT_MODF_THRESHOLD 575 /* k = 5 */
#define MUL_FFT_TABLE3 \
{ { 575, 5}, { 25, 6}, { 13, 5}, { 27, 6}, \
{ 27, 7}, { 15, 6}, { 31, 7}, { 19, 6}, \
{ 39, 7}, { 25, 6}, { 51, 7}, { 27, 8}, \
{ 15, 7}, { 33, 8}, { 19, 7}, { 41, 8}, \
{ 23, 7}, { 51, 8}, { 27, 9}, { 15, 8}, \
{ 31, 7}, { 63, 8}, { 39, 9}, { 23, 8}, \
{ 55,10}, { 15, 9}, { 31, 8}, { 67, 9}, \
{ 39, 8}, { 79, 9}, { 47, 8}, { 95, 9}, \
{ 55,10}, { 31, 9}, { 71, 8}, { 143, 9}, \
{ 87,10}, { 47, 9}, { 111,11}, { 31,10}, \
{ 63, 9}, { 143,10}, { 79, 9}, { 159,10}, \
{ 95,11}, { 63,10}, { 143, 9}, { 287,10}, \
{ 159,11}, { 95,10}, { 191,12}, { 63,11}, \
{ 127,10}, { 255, 9}, { 511,10}, { 271, 9}, \
{ 543,10}, { 287,11}, { 159,10}, { 335, 9}, \
{ 671,10}, { 367, 9}, { 735,11}, { 191,10}, \
{ 383, 9}, { 799,10}, { 415,11}, { 223,12}, \
{ 127,10}, { 543,11}, { 287,10}, { 575,11}, \
{ 319,10}, { 639,11}, { 351,10}, { 703,12}, \
{ 191,11}, { 383,10}, { 767,11}, { 415,10}, \
{ 831,11}, { 447,13}, { 127,12}, { 255,11}, \
{ 543,10}, { 1087,11}, { 575,12}, { 319,11}, \
{ 671,10}, { 1343,11}, { 735,12}, { 383,11}, \
{ 831,12}, { 447,11}, { 959,13}, { 255,12}, \
{ 511,11}, { 1087,12}, { 575,11}, { 1151,12}, \
{ 639,11}, { 1343,12}, { 703,13}, { 383,12}, \
{ 767,11}, { 1599,12}, { 895,14}, { 255,13}, \
{ 511,12}, { 1087,13}, { 639,12}, { 1407,13}, \
{ 767,12}, { 1599,13}, { 895,14}, { 511,13}, \
{ 1023,12}, { 2111,13}, { 1151,12}, { 2431,13}, \
{ 1279,12}, { 2559,13}, { 1407,14}, { 767,13}, \
{ 1535,12}, { 3135,13}, { 1663,15}, { 511,14}, \
{ 1023,13}, { 2303,14}, { 1279,13}, { 2559,12}, \
{ 5119,13}, { 2687,14}, { 1535,13}, { 3071,12}, \
{ 6143,13}, { 3199,12}, { 6399,14}, { 1791,15}, \
{ 1023,14}, { 2047,13}, { 4095,14}, { 2303,13}, \
{ 4607,12}, { 9215,13}, { 4863,12}, { 9727,14}, \
{ 2559,13}, { 5119,15}, { 1535,14}, { 3071,13}, \
{ 8192,14}, { 16384,15}, { 32768,16} }
#define MUL_FFT_TABLE3_SIZE 155
#define MUL_FFT_THRESHOLD 5760
#define SQR_FFT_MODF_THRESHOLD 525 /* k = 5 */
#define SQR_FFT_TABLE3 \
{ { 525, 5}, { 25, 6}, { 27, 7}, { 15, 6}, \
{ 31, 7}, { 17, 6}, { 35, 7}, { 19, 6}, \
{ 39, 7}, { 25, 6}, { 51, 7}, { 27, 8}, \
{ 15, 7}, { 33, 8}, { 19, 7}, { 41, 8}, \
{ 23, 7}, { 51, 8}, { 27, 7}, { 55, 9}, \
{ 15, 8}, { 31, 7}, { 63, 8}, { 39, 9}, \
{ 23, 8}, { 51,10}, { 15, 9}, { 31, 8}, \
{ 67, 9}, { 39, 8}, { 79, 9}, { 47, 8}, \
{ 99, 9}, { 55,10}, { 31, 9}, { 79,10}, \
{ 47, 9}, { 95,11}, { 31,10}, { 63, 9}, \
{ 135,10}, { 95,11}, { 63,10}, { 143, 9}, \
{ 287, 8}, { 575, 9}, { 303,10}, { 159,11}, \
{ 95,10}, { 191, 9}, { 383,12}, { 63,11}, \
{ 127,10}, { 255, 9}, { 511,10}, { 271, 9}, \
{ 543,10}, { 287,11}, { 159,10}, { 319, 9}, \
{ 639,10}, { 335, 9}, { 671,10}, { 351,11}, \
{ 191,10}, { 399, 9}, { 799,10}, { 415, 9}, \
{ 831,11}, { 223,10}, { 447,12}, { 127,10}, \
{ 543,11}, { 287,10}, { 575,11}, { 319,10}, \
{ 639,11}, { 351,10}, { 703,12}, { 191,11}, \
{ 383,10}, { 799,11}, { 415,10}, { 831,11}, \
{ 447,13}, { 127,11}, { 543,10}, { 1087,11}, \
{ 607,12}, { 319,11}, { 735,12}, { 383,11}, \
{ 831,12}, { 447,11}, { 959,12}, { 511,11}, \
{ 1023,12}, { 575,11}, { 1151,12}, { 639,11}, \
{ 1279,12}, { 703,13}, { 383,12}, { 767,11}, \
{ 1535,12}, { 831,11}, { 1663,12}, { 895,14}, \
{ 255,13}, { 511,12}, { 1087,13}, { 639,12}, \
{ 1343,13}, { 767,12}, { 1599,13}, { 895,14}, \
{ 511,13}, { 1023,12}, { 2111,13}, { 1151,12}, \
{ 2303,13}, { 1279,14}, { 767,13}, { 1535,12}, \
{ 3135,13}, { 1663,15}, { 511,14}, { 1023,13}, \
{ 2047,12}, { 4095,13}, { 2303,14}, { 1279,13}, \
{ 2559,12}, { 5119,14}, { 1535,13}, { 3071,12}, \
{ 6143,13}, { 3199,12}, { 6399,14}, { 1791,15}, \
{ 1023,14}, { 2047,13}, { 4095,14}, { 2303,13}, \
{ 4607,12}, { 9215,13}, { 4863,12}, { 9727,14}, \
{ 2559,15}, { 1535,14}, { 3071,13}, { 8192,14}, \
{ 16384,15}, { 32768,16} }
#define SQR_FFT_TABLE3_SIZE 154
#define SQR_FFT_THRESHOLD 5312
#define MULLO_BASECASE_THRESHOLD 0 /* always */
#define MULLO_DC_THRESHOLD 38
#define MULLO_MUL_N_THRESHOLD 10950
#define SQRLO_BASECASE_THRESHOLD 10
#define SQRLO_DC_THRESHOLD 35
#define SQRLO_SQR_THRESHOLD 10323
#define DC_DIV_QR_THRESHOLD 57
#define DC_DIVAPPR_Q_THRESHOLD 254
#define DC_BDIV_QR_THRESHOLD 48
#define DC_BDIV_Q_THRESHOLD 286
#define INV_MULMOD_BNM1_THRESHOLD 55
#define INV_NEWTON_THRESHOLD 252
#define INV_APPR_THRESHOLD 252
#define BINV_NEWTON_THRESHOLD 372
#define REDC_1_TO_REDC_2_THRESHOLD 61
#define REDC_2_TO_REDC_N_THRESHOLD 0 /* always */
#define MU_DIV_QR_THRESHOLD 1858
#define MU_DIVAPPR_Q_THRESHOLD 1787
#define MUPI_DIV_QR_THRESHOLD 122
#define MU_BDIV_QR_THRESHOLD 1528
#define MU_BDIV_Q_THRESHOLD 1836
#define POWM_SEC_TABLE 1,14,200,480,1532
#define GET_STR_DC_THRESHOLD 16
#define GET_STR_PRECOMPUTE_THRESHOLD 33
#define SET_STR_DC_THRESHOLD 104
#define SET_STR_PRECOMPUTE_THRESHOLD 1120
#define FAC_DSC_THRESHOLD 164
#define FAC_ODD_THRESHOLD 27
#define MATRIX22_STRASSEN_THRESHOLD 19
#define HGCD2_DIV1_METHOD 1 /* 3.70% faster than 3 */
#define HGCD_THRESHOLD 137
#define HGCD_APPR_THRESHOLD 157
#define HGCD_REDUCE_THRESHOLD 3389
#define GCD_DC_THRESHOLD 610
#define GCDEXT_DC_THRESHOLD 443
#define JACOBI_BASE_METHOD 4 /* 12.66% faster than 1 */
/* Tuneup completed successfully, took 69757 seconds */

253
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dnl ARM mpn_and_n, mpn_andn_n. mpn_nand_n, etc, optimised for A15.
dnl Contributed to the GNU project by Torbjörn Granlund.
dnl Copyright 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb cycles/limb
C and andn ior xor nand iorn nior xnor
C StrongARM ? ?
C XScale ? ?
C Cortex-A7 ? ?
C Cortex-A8 ? ?
C Cortex-A9 3.5 3.56
C Cortex-A15 1.27 1.64
C This is great A15 core register code, but it is a bit large.
C We use FEEDIN_VARIANT 1 to save some space, but use 8-way unrolling.
C Architecture requirements:
C v5 -
C v5t -
C v5te ldrd strd
C v6 -
C v6t2 -
C v7a -
define(`FEEDIN_VARIANT', 1) C alternatives: 0 1 2
define(`UNROLL', 4x2) C alternatives: 4 4x2
define(`rp', `r0')
define(`up', `r1')
define(`vp', `r2')
define(`n', `r3')
define(`POSTOP')
ifdef(`OPERATION_and_n',`
define(`func', `mpn_and_n')
define(`LOGOP', `and $1, $2, $3')')
ifdef(`OPERATION_andn_n',`
define(`func', `mpn_andn_n')
define(`LOGOP', `bic $1, $2, $3')')
ifdef(`OPERATION_nand_n',`
define(`func', `mpn_nand_n')
define(`POSTOP', `mvn $1, $1')
define(`LOGOP', `and $1, $2, $3')')
ifdef(`OPERATION_ior_n',`
define(`func', `mpn_ior_n')
define(`LOGOP', `orr $1, $2, $3')')
ifdef(`OPERATION_iorn_n',`
define(`func', `mpn_iorn_n')
define(`POSTOP', `mvn $1, $1')
define(`LOGOP', `bic $1, $3, $2')')
ifdef(`OPERATION_nior_n',`
define(`func', `mpn_nior_n')
define(`POSTOP', `mvn $1, $1')
define(`LOGOP', `orr $1, $2, $3')')
ifdef(`OPERATION_xor_n',`
define(`func', `mpn_xor_n')
define(`LOGOP', `eor $1, $2, $3')')
ifdef(`OPERATION_xnor_n',`
define(`func', `mpn_xnor_n')
define(`POSTOP', `mvn $1, $1')
define(`LOGOP', `eor $1, $2, $3')')
MULFUNC_PROLOGUE(mpn_and_n mpn_andn_n mpn_nand_n mpn_ior_n mpn_iorn_n mpn_nior_n mpn_xor_n mpn_xnor_n)
ASM_START()
PROLOGUE(func)
push { r4-r9 }
ifelse(FEEDIN_VARIANT,0,`
ands r6, n, #3
mov n, n, lsr #2
beq L(b00a)
tst r6, #1
beq L(bx0)
ldr r5, [up], #4
ldr r7, [vp], #4
LOGOP( r9, r5, r7)
POSTOP( r9)
str r9, [rp], #4
tst r6, #2
beq L(b00)
L(bx0): ldrd r4, r5, [up, #0]
ldrd r6, r7, [vp, #0]
sub rp, rp, #8
b L(lo)
L(b00): tst n, n
beq L(wd1)
L(b00a):ldrd r4, r5, [up], #-8
ldrd r6, r7, [vp], #-8
sub rp, rp, #16
b L(mid)
')
ifelse(FEEDIN_VARIANT,1,`
and r6, n, #3
mov n, n, lsr #2
tst r6, #1
beq L(bx0)
ldr r5, [up], #4
ldr r7, [vp], #4
LOGOP( r9, r5, r7)
POSTOP( r9)
str r9, [rp], #4
L(bx0): tst r6, #2
beq L(b00)
ldrd r4, r5, [up, #0]
ldrd r6, r7, [vp, #0]
sub rp, rp, #8
b L(lo)
L(b00): tst n, n
beq L(wd1)
ldrd r4, r5, [up], #-8
ldrd r6, r7, [vp], #-8
sub rp, rp, #16
b L(mid)
')
ifelse(FEEDIN_VARIANT,2,`
ands r6, n, #3
mov n, n, lsr #2
beq L(b00)
cmp r6, #2
bcc L(b01)
beq L(b10)
L(b11): ldr r5, [up], #4
ldr r7, [vp], #4
LOGOP( r9, r5, r7)
ldrd r4, r5, [up, #0]
ldrd r6, r7, [vp, #0]
POSTOP( r9)
str r9, [rp], #-4
b L(lo)
L(b00): ldrd r4, r5, [up], #-8
ldrd r6, r7, [vp], #-8
sub rp, rp, #16
b L(mid)
L(b01): ldr r5, [up], #-4
ldr r7, [vp], #-4
LOGOP( r9, r5, r7)
POSTOP( r9)
str r9, [rp], #-12
tst n, n
beq L(wd1)
L(gt1): ldrd r4, r5, [up, #8]
ldrd r6, r7, [vp, #8]
b L(mid)
L(b10): ldrd r4, r5, [up]
ldrd r6, r7, [vp]
sub rp, rp, #8
b L(lo)
')
ALIGN(16)
ifelse(UNROLL,4,`
L(top): ldrd r4, r5, [up, #8]
ldrd r6, r7, [vp, #8]
POSTOP( r8)
POSTOP( r9)
strd r8, r9, [rp, #8]
L(mid): LOGOP( r8, r4, r6)
LOGOP( r9, r5, r7)
ldrd r4, r5, [up, #16]!
ldrd r6, r7, [vp, #16]!
POSTOP( r8)
POSTOP( r9)
strd r8, r9, [rp, #16]!
sub n, n, #1
L(lo): LOGOP( r8, r4, r6)
LOGOP( r9, r5, r7)
tst n, n
bne L(top)
')
ifelse(UNROLL,4x2,`
L(top): ldrd r4, r5, [up, #8]
ldrd r6, r7, [vp, #8]
POSTOP( r8)
POSTOP( r9)
strd r8, r9, [rp, #8]
L(mid): LOGOP( r8, r4, r6)
LOGOP( r9, r5, r7)
ldrd r4, r5, [up, #16]
ldrd r6, r7, [vp, #16]
POSTOP( r8)
POSTOP( r9)
strd r8, r9, [rp, #16]
LOGOP( r8, r4, r6)
LOGOP( r9, r5, r7)
sub n, n, #2
tst n, n
bmi L(dne)
ldrd r4, r5, [up, #24]
ldrd r6, r7, [vp, #24]
POSTOP( r8)
POSTOP( r9)
strd r8, r9, [rp, #24]
LOGOP( r8, r4, r6)
LOGOP( r9, r5, r7)
ldrd r4, r5, [up, #32]!
ldrd r6, r7, [vp, #32]!
POSTOP( r8)
POSTOP( r9)
strd r8, r9, [rp, #32]!
L(lo): LOGOP( r8, r4, r6)
LOGOP( r9, r5, r7)
tst n, n
bne L(top)
')
L(end): POSTOP( r8)
POSTOP( r9)
strd r8, r9, [rp, #8]
L(wd1): pop { r4-r9 }
bx r14
ifelse(UNROLL,4x2,`
L(dne): POSTOP( r8)
POSTOP( r9)
strd r8, r9, [rp, #24]
pop { r4-r9 }
bx r14
')
EPILOGUE()

104
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dnl ARM mpn_mul_1 optimised for A15.
dnl Copyright 2012, 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb best
C StrongARM: -
C XScale ?
C Cortex-A7 ?
C Cortex-A8 ?
C Cortex-A9 5.25 3.25
C Cortex-A15 2.25 this
C This runs well on A15 but very poorly on A9. By scheduling loads and adds
C it is possible to get good A9 performance as well, but at the cost of using
C many more (callee-saves) registers.
C This is armv5 code, optimized for the armv7a cpu A15. Its location in the
C GMP file structure might be misleading.
define(`rp', `r0')
define(`up', `r1')
define(`n', `r2')
define(`v0', `r3')
ASM_START()
PROLOGUE(mpn_mul_1c)
ldr r12, [sp]
b L(ent)
EPILOGUE()
PROLOGUE(mpn_mul_1)
mov r12, #0
L(ent): push {r4-r7}
ldr r6, [up], #4
tst n, #1
beq L(bx0)
L(bx1): umull r4, r7, r6, v0
adds r4, r4, r12
tst n, #2
beq L(lo1)
b L(lo3)
L(bx0): umull r4, r5, r6, v0
adds r4, r4, r12
tst n, #2
beq L(lo0)
b L(lo2)
L(top): ldr r6, [up], #4
str r4, [rp], #4
umull r4, r5, r6, v0
adds r4, r4, r7
L(lo0): ldr r6, [up], #4
str r4, [rp], #4
umull r4, r7, r6, v0
adcs r4, r4, r5
L(lo3): ldr r6, [up], #4
str r4, [rp], #4
umull r4, r5, r6, v0
adcs r4, r4, r7
L(lo2): ldr r6, [up], #4
str r4, [rp], #4
umull r4, r7, r6, v0
adcs r4, r4, r5
L(lo1): adc r7, r7, #0
subs n, n, #4
bgt L(top)
str r4, [rp]
mov r0, r7
pop {r4-r7}
bx lr
EPILOGUE()

43
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dnl ARM mpn_addlshC_n, mpn_sublshC_n, mpn_rsblshC_n
dnl Contributed to the GNU project by Torbjörn Granlund.
dnl Copyright 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
define(LSH, 1)
ifdef(`OPERATION_addlsh1_n',`define(`DO_add')')
ifdef(`OPERATION_sublsh1_n',`define(`DO_sub')')
ifdef(`OPERATION_rsblsh1_n',`define(`DO_rsb')')
MULFUNC_PROLOGUE(mpn_addlsh1_n mpn_sublsh1_n mpn_rsblsh1_n)
include_mpn(`arm/v7a/cora15/neon/aorsorrlshC_n.asm')

43
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dnl ARM mpn_addlshC_n, mpn_sublshC_n, mpn_rsblshC_n
dnl Contributed to the GNU project by Torbjörn Granlund.
dnl Copyright 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
define(LSH, 2)
ifdef(`OPERATION_addlsh2_n',`define(`DO_add')')
ifdef(`OPERATION_sublsh2_n',`define(`DO_sub')')
ifdef(`OPERATION_rsblsh2_n',`define(`DO_rsb')')
MULFUNC_PROLOGUE(mpn_addlsh2_n mpn_sublsh2_n mpn_rsblsh2_n)
include_mpn(`arm/v7a/cora15/neon/aorsorrlshC_n.asm')

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dnl ARM mpn_addlshC_n, mpn_sublshC_n, mpn_rsblshC_n
dnl Contributed to the GNU project by Torbjörn Granlund.
dnl Copyright 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
C cycles/limb
C StrongARM -
C XScale -
C Cortex-A7 ?
C Cortex-A8 ?
C Cortex-A9 5.25
C Cortex-A15 2.25
C TODO
C * Consider using 4-way feed-in code.
C * This is ad-hoc scheduled, perhaps unnecessarily so for A15, and perhaps
C insufficiently for A7 and A8.
define(`rp', `r0')
define(`up', `r1')
define(`vp', `r2')
define(`n', `r3')
ifdef(`DO_add', `
define(`ADCSBCS', `adcs $1, $2, $3')
define(`CLRCY', `cmn r13, #1')
define(`RETVAL', `adc r0, $1, #0')
define(`func', mpn_addlsh`'LSH`'_n)')
ifdef(`DO_sub', `
define(`ADCSBCS', `sbcs $1, $2, $3')
define(`CLRCY', `cmp r13, #0')
define(`RETVAL', `sbc $2, $2, $2
cmn $2, #1
adc r0, $1, #0')
define(`func', mpn_sublsh`'LSH`'_n)')
ifdef(`DO_rsb', `
define(`ADCSBCS', `sbcs $1, $3, $2')
define(`CLRCY', `cmp r13, #0')
define(`RETVAL', `sbc r0, $1, #0')
define(`func', mpn_rsblsh`'LSH`'_n)')
ASM_START()
PROLOGUE(func)
push {r4-r10}
vmov.i8 d0, #0 C could feed carry through here
CLRCY
tst n, #1
beq L(bb0)
L(bb1): vld1.32 {d3[0]}, [vp]!
vsli.u32 d0, d3, #LSH
ldr r12, [up], #4
vmov.32 r5, d0[0]
vshr.u32 d0, d3, #32-LSH
ADCSBCS( r12, r12, r5)
str r12, [rp], #4
bics n, n, #1
beq L(rtn)
L(bb0): tst n, #2
beq L(b00)
L(b10): vld1.32 {d3}, [vp]!
vsli.u64 d0, d3, #LSH
ldmia up!, {r10,r12}
vmov r4, r5, d0
vshr.u64 d0, d3, #64-LSH
ADCSBCS( r10, r10, r4)
ADCSBCS( r12, r12, r5)
stmia rp!, {r10,r12}
bics n, n, #2
beq L(rtn)
L(b00): vld1.32 {d2}, [vp]!
vsli.u64 d0, d2, #LSH
vshr.u64 d1, d2, #64-LSH
vld1.32 {d3}, [vp]!
vsli.u64 d1, d3, #LSH
vmov r6, r7, d0
vshr.u64 d0, d3, #64-LSH
sub n, n, #4
tst n, n
beq L(end)
ALIGN(16)
L(top): ldmia up!, {r8,r9,r10,r12}
vld1.32 {d2}, [vp]!
vsli.u64 d0, d2, #LSH
vmov r4, r5, d1
vshr.u64 d1, d2, #64-LSH
ADCSBCS( r8, r8, r6)
ADCSBCS( r9, r9, r7)
vld1.32 {d3}, [vp]!
vsli.u64 d1, d3, #LSH
vmov r6, r7, d0
vshr.u64 d0, d3, #64-LSH
ADCSBCS( r10, r10, r4)
ADCSBCS( r12, r12, r5)
stmia rp!, {r8,r9,r10,r12}
sub n, n, #4
tst n, n
bne L(top)
L(end): ldmia up!, {r8,r9,r10,r12}
vmov r4, r5, d1
ADCSBCS( r8, r8, r6)
ADCSBCS( r9, r9, r7)
ADCSBCS( r10, r10, r4)
ADCSBCS( r12, r12, r5)
stmia rp!, {r8,r9,r10,r12}
L(rtn): vmov.32 r0, d0[0]
RETVAL( r0, r1)
pop {r4-r10}
bx r14
EPILOGUE()

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dnl ARM Neon mpn_com optimised for A15.
dnl Copyright 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb
C StrongARM ?
C XScale ?
C Cortex-A8 ?
C Cortex-A9 2.1
C Cortex-A15 0.65
define(`rp', `r0')
define(`up', `r1')
define(`n', `r2')
ASM_START()
PROLOGUE(mpn_com)
cmp n, #7
ble L(bc)
C Perform a few initial operation until rp is 128-bit aligned
tst rp, #4
beq L(al1)
vld1.32 {d0[0]}, [up]!
sub n, n, #1
vmvn d0, d0
vst1.32 {d0[0]}, [rp]!
L(al1): tst rp, #8
beq L(al2)
vld1.32 {d0}, [up]!
sub n, n, #2
vmvn d0, d0
vst1.32 {d0}, [rp:64]!
L(al2): vld1.32 {q2}, [up]!
subs n, n, #12
blt L(end)
ALIGN(16)
L(top): vld1.32 {q0}, [up]!
vmvn q2, q2
subs n, n, #8
vst1.32 {q2}, [rp:128]!
vld1.32 {q2}, [up]!
vmvn q0, q0
vst1.32 {q0}, [rp:128]!
bge L(top)
L(end): vmvn q2, q2
vst1.32 {q2}, [rp:128]!
C Handle last 0-7 limbs. Note that rp is aligned after loop, but not when we
C arrive here via L(bc)
L(bc): tst n, #4
beq L(tl1)
vld1.32 {q0}, [up]!
vmvn q0, q0
vst1.32 {q0}, [rp]!
L(tl1): tst n, #2
beq L(tl2)
vld1.32 {d0}, [up]!
vmvn d0, d0
vst1.32 {d0}, [rp]!
L(tl2): tst n, #1
beq L(tl3)
vld1.32 {d0[0]}, [up]
vmvn d0, d0
vst1.32 {d0[0]}, [rp]
L(tl3): bx lr
EPILOGUE()

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dnl ARM Neon mpn_copyd optimised for A15.
dnl Copyright 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb
C StrongARM -
C XScale -
C Cortex-A7 ?
C Cortex-A8 ?
C Cortex-A9 1.75 slower than core register code
C Cortex-A15 0.52
define(`rp', `r0')
define(`up', `r1')
define(`n', `r2')
ASM_START()
PROLOGUE(mpn_copyd)
add rp, rp, n, lsl #2
add up, up, n, lsl #2
cmp n, #7
ble L(bc)
C Copy until rp is 128-bit aligned
tst rp, #4
beq L(al1)
sub up, up, #4
vld1.32 {d22[0]}, [up]
sub n, n, #1
sub rp, rp, #4
vst1.32 {d22[0]}, [rp]
L(al1): tst rp, #8
beq L(al2)
sub up, up, #8
vld1.32 {d22}, [up]
sub n, n, #2
sub rp, rp, #8
vst1.32 {d22}, [rp:64]
L(al2): sub up, up, #16
vld1.32 {d26-d27}, [up]
subs n, n, #12
sub rp, rp, #16 C offset rp for loop
blt L(end)
sub up, up, #16 C offset up for loop
mov r12, #-16
ALIGN(16)
L(top): vld1.32 {d22-d23}, [up], r12
vst1.32 {d26-d27}, [rp:128], r12
vld1.32 {d26-d27}, [up], r12
vst1.32 {d22-d23}, [rp:128], r12
subs n, n, #8
bge L(top)
add up, up, #16 C undo up offset
C rp offset undoing folded
L(end): vst1.32 {d26-d27}, [rp:128]
C Copy last 0-7 limbs. Note that rp is aligned after loop, but not when we
C arrive here via L(bc)
L(bc): tst n, #4
beq L(tl1)
sub up, up, #16
vld1.32 {d22-d23}, [up]
sub rp, rp, #16
vst1.32 {d22-d23}, [rp]
L(tl1): tst n, #2
beq L(tl2)
sub up, up, #8
vld1.32 {d22}, [up]
sub rp, rp, #8
vst1.32 {d22}, [rp]
L(tl2): tst n, #1
beq L(tl3)
sub up, up, #4
vld1.32 {d22[0]}, [up]
sub rp, rp, #4
vst1.32 {d22[0]}, [rp]
L(tl3): bx lr
EPILOGUE()

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dnl ARM Neon mpn_copyi optimised for A15.
dnl Copyright 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb
C StrongARM -
C XScale -
C Cortex-A7 ?
C Cortex-A8 ?
C Cortex-A9 1.75 slower than core register code
C Cortex-A15 0.52
define(`rp', `r0')
define(`up', `r1')
define(`n', `r2')
ASM_START()
PROLOGUE(mpn_copyi)
cmp n, #7
ble L(bc)
C Copy until rp is 128-bit aligned
tst rp, #4
beq L(al1)
vld1.32 {d22[0]}, [up]!
sub n, n, #1
vst1.32 {d22[0]}, [rp]!
L(al1): tst rp, #8
beq L(al2)
vld1.32 {d22}, [up]!
sub n, n, #2
vst1.32 {d22}, [rp:64]!
L(al2): vld1.32 {d26-d27}, [up]!
subs n, n, #12
blt L(end)
ALIGN(16)
L(top): vld1.32 {d22-d23}, [up]!
vst1.32 {d26-d27}, [rp:128]!
vld1.32 {d26-d27}, [up]!
vst1.32 {d22-d23}, [rp:128]!
subs n, n, #8
bge L(top)
L(end): vst1.32 {d26-d27}, [rp:128]!
C Copy last 0-7 limbs. Note that rp is aligned after loop, but not when we
C arrive here via L(bc)
L(bc): tst n, #4
beq L(tl1)
vld1.32 {d22-d23}, [up]!
vst1.32 {d22-d23}, [rp]!
L(tl1): tst n, #2
beq L(tl2)
vld1.32 {d22}, [up]!
vst1.32 {d22}, [rp]!
L(tl2): tst n, #1
beq L(tl3)
vld1.32 {d22[0]}, [up]
vst1.32 {d22[0]}, [rp]
L(tl3): bx lr
EPILOGUE()

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dnl ARM Neon mpn_rsh1add_n, mpn_rsh1sub_n.
dnl Contributed to the GNU project by Torbjörn Granlund.
dnl Copyright 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb
C StrongARM -
C XScale -
C Cortex-A7 ?
C Cortex-A8 ?
C Cortex-A9 4-5
C Cortex-A15 2.5
C TODO
C * Try to make this smaller, its size (384 bytes) is excessive.
C * Try to reach 2.25 c/l on A15, to match the addlsh_1 family.
C * This is ad-hoc scheduled, perhaps unnecessarily so for A15, and perhaps
C insufficiently for A7 and A8.
define(`rp', `r0')
define(`up', `r1')
define(`vp', `r2')
define(`n', `r3')
ifdef(`OPERATION_rsh1add_n', `
define(`ADDSUBS', `adds $1, $2, $3')
define(`ADCSBCS', `adcs $1, $2, $3')
define(`IFADD', `$1')
define(`IFSUB', `')
define(`func', mpn_rsh1add_n)')
ifdef(`OPERATION_rsh1sub_n', `
define(`ADDSUBS', `subs $1, $2, $3')
define(`ADCSBCS', `sbcs $1, $2, $3')
define(`IFADD', `')
define(`IFSUB', `$1')
define(`func', mpn_rsh1sub_n)')
MULFUNC_PROLOGUE(mpn_rsh1add_n mpn_rsh1sub_n)
ASM_START()
PROLOGUE(func)
push {r4-r10}
ands r4, n, #3
beq L(b00)
cmp r4, #2
blo L(b01)
beq L(b10)
L(b11): ldmia up!, {r9,r10,r12}
ldmia vp!, {r5,r6,r7}
ADDSUBS( r9, r9, r5)
vmov d4, r9, r9
ADCSBCS( r10, r10, r6)
ADCSBCS( r12, r12, r7)
vshr.u64 d3, d4, #1
vmov d1, r10, r12
vsli.u64 d3, d1, #31
vshr.u64 d2, d1, #1
vst1.32 d3[0], [rp]!
bics n, n, #3
beq L(wd2)
L(gt3): ldmia up!, {r8,r9,r10,r12}
ldmia vp!, {r4,r5,r6,r7}
b L(mi0)
L(b10): ldmia up!, {r10,r12}
ldmia vp!, {r6,r7}
ADDSUBS( r10, r10, r6)
ADCSBCS( r12, r12, r7)
vmov d4, r10, r12
bics n, n, #2
vshr.u64 d2, d4, #1
beq L(wd2)
L(gt2): ldmia up!, {r8,r9,r10,r12}
ldmia vp!, {r4,r5,r6,r7}
b L(mi0)
L(b01): ldr r12, [up], #4
ldr r7, [vp], #4
ADDSUBS( r12, r12, r7)
vmov d4, r12, r12
bics n, n, #1
bne L(gt1)
mov r5, r12, lsr #1
IFADD(` adc r1, n, #0')
IFSUB(` adc r1, n, #1')
bfi r5, r1, #31, #1
str r5, [rp]
and r0, r12, #1
pop {r4-r10}
bx r14
L(gt1): ldmia up!, {r8,r9,r10,r12}
ldmia vp!, {r4,r5,r6,r7}
vshr.u64 d2, d4, #1
ADCSBCS( r8, r8, r4)
ADCSBCS( r9, r9, r5)
vmov d0, r8, r9
ADCSBCS( r10, r10, r6)
ADCSBCS( r12, r12, r7)
vsli.u64 d2, d0, #31
vshr.u64 d3, d0, #1
vst1.32 d2[0], [rp]!
b L(mi1)
L(b00): ldmia up!, {r8,r9,r10,r12}
ldmia vp!, {r4,r5,r6,r7}
ADDSUBS( r8, r8, r4)
ADCSBCS( r9, r9, r5)
vmov d4, r8, r9
ADCSBCS( r10, r10, r6)
ADCSBCS( r12, r12, r7)
vshr.u64 d3, d4, #1
b L(mi1)
ALIGN(16)
L(top): ldmia up!, {r8,r9,r10,r12}
ldmia vp!, {r4,r5,r6,r7}
vsli.u64 d3, d1, #63
vshr.u64 d2, d1, #1
vst1.32 d3, [rp]!
L(mi0): ADCSBCS( r8, r8, r4)
ADCSBCS( r9, r9, r5)
vmov d0, r8, r9
ADCSBCS( r10, r10, r6)
ADCSBCS( r12, r12, r7)
vsli.u64 d2, d0, #63
vshr.u64 d3, d0, #1
vst1.32 d2, [rp]!
L(mi1): vmov d1, r10, r12
sub n, n, #4
tst n, n
bne L(top)
L(end): vsli.u64 d3, d1, #63
vshr.u64 d2, d1, #1
vst1.32 d3, [rp]!
L(wd2): vmov r4, r5, d2
IFADD(` adc r1, n, #0')
IFSUB(` adc r1, n, #1')
bfi r5, r1, #31, #1
stm rp, {r4,r5}
L(rtn): vmov.32 r0, d4[0]
and r0, r0, #1
pop {r4-r10}
bx r14
EPILOGUE()

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dnl ARM mpn_submul_1 optimised for A15.
dnl Copyright 2012, 2013 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb best
C StrongARM: -
C XScale ?
C Cortex-A7 ?
C Cortex-A8 ?
C Cortex-A9 5.75 3.75
C Cortex-A15 2.32 this
C This code uses umlal and umaal for adding in the rp[] data, keeping the
C recurrency path separate from any multiply instructions. It performs well on
C A15, but not quite at the multiply bandwidth like the corresponding addmul_1
C code.
C
C We don't use r12 due to ldrd and strd limitations.
C
C This loop complements U on the fly,
C U' = B^n - 1 - U
C and then uses that
C R - U*v = R + U'*v + v - B^n v
C Architecture requirements:
C v5 -
C v5t -
C v5te ldrd strd
C v6 umaal
C v6t2 -
C v7a -
define(`rp', `r0')
define(`up', `r1')
define(`n', `r2')
define(`v0', `r3')
define(`w0', `r10') define(`w1', `r11')
define(`u0', `r8') define(`u1', `r9')
ASM_START()
PROLOGUE(mpn_submul_1)
sub sp, sp, #32
strd r10, r11, [sp, #24]
strd r8, r9, [sp, #16]
strd r6, r7, [sp, #8]
strd r4, r5, [sp, #0]
C push { r4-r11 }
ands r6, n, #3
sub n, n, #3
beq L(b00)
cmp r6, #2
bcc L(b01)
beq L(b10)
L(b11): mov r6, #0
ldr u1, [up], #-4
ldr w1, [rp], #-16
mvn u1, u1
adds r7, v0, #0
b L(mid)
L(b00): ldrd u0, u1, [up]
ldrd w0, w1, [rp], #-12
mvn u0, u0
mvn u1, u1
mov r6, v0
umaal w0, r6, u0, v0
cmn r13, #0 C carry clear
mov r7, #0
str w0, [rp, #12]
b L(mid)
L(b10): ldrd u0, u1, [up], #8
ldrd w0, w1, [rp]
mvn u0, u0
mvn u1, u1
mov r4, v0
umaal w0, r4, u0, v0
mov r5, #0
str w0, [rp], #-4
umlal w1, r5, u1, v0
adds n, n, #0
bmi L(end)
b L(top)
L(b01): ldr u1, [up], #4
ldr w1, [rp], #-8
mvn u1, u1
mov r5, v0
mov r4, #0
umaal w1, r5, u1, v0
tst n, n
bmi L(end)
C ALIGN(16)
L(top): ldrd u0, u1, [up, #0]
adcs r4, r4, w1
mvn u0, u0
ldrd w0, w1, [rp, #12]
mvn u1, u1
mov r6, #0
umlal w0, r6, u0, v0 C 1 2
adcs r5, r5, w0
mov r7, #0
strd r4, r5, [rp, #8]
L(mid): umaal w1, r7, u1, v0 C 2 3
ldrd u0, u1, [up, #8]
add up, up, #16
adcs r6, r6, w1
mvn u0, u0
ldrd w0, w1, [rp, #20]
mvn u1, u1
mov r4, #0
umlal w0, r4, u0, v0 C 3 4
adcs r7, r7, w0
mov r5, #0
strd r6, r7, [rp, #16]!
sub n, n, #4
umlal w1, r5, u1, v0 C 0 1
tst n, n
bpl L(top)
L(end): adcs r4, r4, w1
str r4, [rp, #8]
adc r0, r5, #0
sub r0, v0, r0
pop { r4-r11 }
bx r14
EPILOGUE()

34
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dnl ARM mpn_addmul_1
dnl Copyright 2018 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
MULFUNC_PROLOGUE(mpn_addmul_1)
include_mpn(`arm/v6/addmul_1.asm')

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/* gmp-mparam.h -- Compiler/machine parameter header file.
Copyright 2019 Free Software Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of either:
* the GNU Lesser General Public License as published by the Free
Software Foundation; either version 3 of the License, or (at your
option) any later version.
or
* the GNU General Public License as published by the Free Software
Foundation; either version 2 of the License, or (at your option) any
later version.
or both in parallel, as here.
The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library. If not,
see https://www.gnu.org/licenses/. */
#define GMP_LIMB_BITS 32
#define GMP_LIMB_BYTES 4
/* 1800 MHz Cortex-A17 with Neon (in spite of file position) */
/* FFT tuning limit = 51243975 */
/* Generated by tuneup.c, 2019-10-29, gcc 6.3 */
#define MOD_1_NORM_THRESHOLD 0 /* always */
#define MOD_1_UNNORM_THRESHOLD 0 /* always */
#define MOD_1N_TO_MOD_1_1_THRESHOLD 5
#define MOD_1U_TO_MOD_1_1_THRESHOLD 3
#define MOD_1_1_TO_MOD_1_2_THRESHOLD 8
#define MOD_1_2_TO_MOD_1_4_THRESHOLD MP_SIZE_T_MAX
#define PREINV_MOD_1_TO_MOD_1_THRESHOLD 12
#define USE_PREINV_DIVREM_1 1 /* native */
#define DIV_QR_1N_PI1_METHOD 1 /* 54.08% faster than 2 */
#define DIV_QR_1_NORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIV_QR_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIV_QR_2_PI2_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIVEXACT_1_THRESHOLD 0 /* always (native) */
#define BMOD_1_TO_MOD_1_THRESHOLD 45
#define DIV_1_VS_MUL_1_PERCENT 248
#define MUL_TOOM22_THRESHOLD 38
#define MUL_TOOM33_THRESHOLD 132
#define MUL_TOOM44_THRESHOLD 200
#define MUL_TOOM6H_THRESHOLD 303
#define MUL_TOOM8H_THRESHOLD 478
#define MUL_TOOM32_TO_TOOM43_THRESHOLD 137
#define MUL_TOOM32_TO_TOOM53_THRESHOLD 179
#define MUL_TOOM42_TO_TOOM53_THRESHOLD 132
#define MUL_TOOM42_TO_TOOM63_THRESHOLD 145
#define MUL_TOOM43_TO_TOOM54_THRESHOLD 191
#define SQR_BASECASE_THRESHOLD 0 /* always (native) */
#define SQR_TOOM2_THRESHOLD 62
#define SQR_TOOM3_THRESHOLD 189
#define SQR_TOOM4_THRESHOLD 354
#define SQR_TOOM6_THRESHOLD 426
#define SQR_TOOM8_THRESHOLD 608
#define MULMID_TOOM42_THRESHOLD 62
#define MULMOD_BNM1_THRESHOLD 21
#define SQRMOD_BNM1_THRESHOLD 29
#define MUL_FFT_MODF_THRESHOLD 595 /* k = 5 */
#define MUL_FFT_TABLE3 \
{ { 595, 5}, { 29, 6}, { 15, 5}, { 31, 6}, \
{ 16, 5}, { 33, 6}, { 29, 7}, { 15, 6}, \
{ 33, 7}, { 17, 6}, { 36, 7}, { 19, 6}, \
{ 39, 7}, { 29, 8}, { 15, 7}, { 35, 8}, \
{ 19, 7}, { 41, 8}, { 23, 7}, { 49, 8}, \
{ 27, 7}, { 55, 9}, { 15, 8}, { 31, 7}, \
{ 63, 8}, { 43, 9}, { 23, 8}, { 55, 9}, \
{ 31, 8}, { 63, 9}, { 39, 8}, { 83, 9}, \
{ 47, 8}, { 95, 9}, { 55,10}, { 31, 9}, \
{ 79,10}, { 47, 9}, { 103,11}, { 31,10}, \
{ 63, 9}, { 135,10}, { 79, 9}, { 159,10}, \
{ 95, 9}, { 191,10}, { 111,11}, { 63,10}, \
{ 143, 8}, { 575,10}, { 159,11}, { 95,10}, \
{ 191, 9}, { 383, 8}, { 767, 9}, { 399, 8}, \
{ 799,12}, { 63,11}, { 127,10}, { 255, 9}, \
{ 511, 8}, { 1023, 9}, { 543, 8}, { 1087, 9}, \
{ 575,10}, { 303,11}, { 159,10}, { 319, 9}, \
{ 639,10}, { 335, 9}, { 671,10}, { 351, 9}, \
{ 703,10}, { 367, 9}, { 735,11}, { 191,10}, \
{ 383, 9}, { 767,10}, { 399, 9}, { 799,10}, \
{ 415, 9}, { 831,10}, { 431, 9}, { 863,11}, \
{ 223,10}, { 447,12}, { 127,10}, { 511, 9}, \
{ 1023,10}, { 543, 9}, { 1087,10}, { 607, 9}, \
{ 1215,11}, { 319,10}, { 671, 9}, { 1343,11}, \
{ 351,10}, { 735,12}, { 191,11}, { 383,10}, \
{ 799,11}, { 415,10}, { 863,11}, { 447,10}, \
{ 895,13}, { 127,11}, { 511,10}, { 1023,11}, \
{ 543,10}, { 1087,11}, { 607,10}, { 1215,12}, \
{ 319,11}, { 671,10}, { 1343,11}, { 735,10}, \
{ 1471,12}, { 383,11}, { 799,10}, { 1599,11}, \
{ 863,10}, { 1727,12}, { 447,11}, { 991,10}, \
{ 1983,12}, { 511,11}, { 1087,12}, { 575,11}, \
{ 1215,10}, { 2431,12}, { 639,11}, { 1343,12}, \
{ 703,11}, { 1471,13}, { 383,12}, { 767,11}, \
{ 1599,12}, { 831,11}, { 1727,12}, { 959,11}, \
{ 1983,13}, { 511,12}, { 1087,11}, { 2239,12}, \
{ 1215,11}, { 2431,13}, { 639,12}, { 1471,11}, \
{ 2943,13}, { 767,12}, { 1727,13}, { 895,12}, \
{ 1983,14}, { 511,13}, { 1023,12}, { 2239,13}, \
{ 1151,12}, { 2495,13}, { 1279,12}, { 2623,13}, \
{ 1407,12}, { 2943,14}, { 767,13}, { 1535,12}, \
{ 3135,13}, { 1663,12}, { 3455,13}, { 1919,12}, \
{ 3839,15}, { 511,14}, { 1023,13}, { 2175,12}, \
{ 4479,13}, { 2431,14}, { 1279,13}, { 2943,12}, \
{ 5887,14}, { 1535,13}, { 3455,14}, { 1791,13}, \
{ 3967,15}, { 1023,14}, { 2047,13}, { 4479,14}, \
{ 2303,13}, { 4991,12}, { 9983,14}, { 2559,13}, \
{ 5247,14}, { 2815,13}, { 5887,15}, { 1535,14}, \
{ 16384,15}, { 32768,16} }
#define MUL_FFT_TABLE3_SIZE 194
#define MUL_FFT_THRESHOLD 6784
#define SQR_FFT_MODF_THRESHOLD 500 /* k = 5 */
#define SQR_FFT_TABLE3 \
{ { 500, 5}, { 29, 6}, { 15, 5}, { 31, 6}, \
{ 16, 5}, { 33, 6}, { 29, 7}, { 15, 6}, \
{ 32, 7}, { 17, 6}, { 36, 7}, { 19, 6}, \
{ 39, 7}, { 29, 8}, { 15, 7}, { 35, 8}, \
{ 19, 7}, { 41, 8}, { 23, 7}, { 49, 8}, \
{ 27, 9}, { 15, 8}, { 31, 7}, { 63, 8}, \
{ 43, 9}, { 23, 8}, { 55,10}, { 15, 9}, \
{ 31, 8}, { 67, 9}, { 39, 8}, { 79, 9}, \
{ 47, 8}, { 95, 9}, { 55,10}, { 31, 9}, \
{ 79,10}, { 47, 9}, { 95,11}, { 31,10}, \
{ 63, 9}, { 135,10}, { 79, 9}, { 159,10}, \
{ 95, 9}, { 191,10}, { 111,11}, { 63,10}, \
{ 127, 9}, { 255,10}, { 143, 9}, { 287,10}, \
{ 159, 9}, { 319,11}, { 95,10}, { 191, 9}, \
{ 383, 8}, { 767, 9}, { 399,12}, { 63,11}, \
{ 127,10}, { 255, 9}, { 511,10}, { 271, 9}, \
{ 543,10}, { 287, 9}, { 575,10}, { 303,11}, \
{ 159,10}, { 319, 9}, { 639,10}, { 335, 9}, \
{ 671,10}, { 351, 9}, { 703,10}, { 367, 9}, \
{ 735,11}, { 191,10}, { 383, 9}, { 767,10}, \
{ 399, 9}, { 799,10}, { 415, 9}, { 831,10}, \
{ 431, 9}, { 863,10}, { 447,12}, { 127,11}, \
{ 255,10}, { 511, 9}, { 1023,10}, { 543, 9}, \
{ 1087,11}, { 287,10}, { 607, 9}, { 1215,11}, \
{ 319,10}, { 671,11}, { 351,10}, { 735,12}, \
{ 191,11}, { 383,10}, { 799,11}, { 415,10}, \
{ 863,11}, { 447,10}, { 895,13}, { 127,12}, \
{ 255,11}, { 511,10}, { 1023,11}, { 543,10}, \
{ 1087,11}, { 607,10}, { 1215,12}, { 319,11}, \
{ 671,10}, { 1343,11}, { 735,10}, { 1471,12}, \
{ 383,11}, { 799,10}, { 1599,11}, { 863,12}, \
{ 447,11}, { 959,10}, { 1919,11}, { 991,13}, \
{ 255,12}, { 511,11}, { 1087,12}, { 575,11}, \
{ 1215,10}, { 2431,12}, { 639,11}, { 1343,12}, \
{ 703,11}, { 1471,13}, { 383,12}, { 767,11}, \
{ 1599,12}, { 831,11}, { 1727,12}, { 959,11}, \
{ 1919,14}, { 255,13}, { 511,12}, { 1087,11}, \
{ 2239,12}, { 1215,11}, { 2431,13}, { 639,12}, \
{ 1471,11}, { 2943,13}, { 767,12}, { 1727,13}, \
{ 895,12}, { 1983,14}, { 511,13}, { 1023,12}, \
{ 2239,13}, { 1151,12}, { 2495,13}, { 1279,12}, \
{ 2623,13}, { 1407,12}, { 2943,14}, { 767,13}, \
{ 1535,12}, { 3071,13}, { 1663,12}, { 3455,13}, \
{ 1919,12}, { 3839,15}, { 511,14}, { 1023,13}, \
{ 2175,12}, { 4479,13}, { 2431,14}, { 1279,13}, \
{ 2943,12}, { 5887,14}, { 1535,13}, { 3455,14}, \
{ 1791,13}, { 3967,15}, { 1023,14}, { 2047,13}, \
{ 4479,14}, { 2303,13}, { 4991,12}, { 9983,14}, \
{ 2559,13}, { 5119,14}, { 2815,13}, { 5887,15}, \
{ 1535,14}, { 16384,15}, { 32768,16} }
#define SQR_FFT_TABLE3_SIZE 199
#define SQR_FFT_THRESHOLD 4736
#define MULLO_BASECASE_THRESHOLD 0 /* always */
#define MULLO_DC_THRESHOLD 27
#define MULLO_MUL_N_THRESHOLD 13463
#define SQRLO_BASECASE_THRESHOLD 0 /* always */
#define SQRLO_DC_THRESHOLD 26
#define SQRLO_SQR_THRESHOLD 8907
#define DC_DIV_QR_THRESHOLD 38
#define DC_DIVAPPR_Q_THRESHOLD 103
#define DC_BDIV_QR_THRESHOLD 44
#define DC_BDIV_Q_THRESHOLD 98
#define INV_MULMOD_BNM1_THRESHOLD 78
#define INV_NEWTON_THRESHOLD 165
#define INV_APPR_THRESHOLD 115
#define BINV_NEWTON_THRESHOLD 296
#define REDC_1_TO_REDC_2_THRESHOLD 2
#define REDC_2_TO_REDC_N_THRESHOLD 147
#define MU_DIV_QR_THRESHOLD 2089
#define MU_DIVAPPR_Q_THRESHOLD 2089
#define MUPI_DIV_QR_THRESHOLD 70
#define MU_BDIV_QR_THRESHOLD 1718
#define MU_BDIV_Q_THRESHOLD 2089
#define POWM_SEC_TABLE 7,19,107,480,1486
#define GET_STR_DC_THRESHOLD 14
#define GET_STR_PRECOMPUTE_THRESHOLD 29
#define SET_STR_DC_THRESHOLD 126
#define SET_STR_PRECOMPUTE_THRESHOLD 541
#define FAC_DSC_THRESHOLD 132
#define FAC_ODD_THRESHOLD 29
#define MATRIX22_STRASSEN_THRESHOLD 30
#define HGCD2_DIV1_METHOD 1 /* 6.55% faster than 3 */
#define HGCD_THRESHOLD 54
#define HGCD_APPR_THRESHOLD 52
#define HGCD_REDUCE_THRESHOLD 3524
#define GCD_DC_THRESHOLD 303
#define GCDEXT_DC_THRESHOLD 225
#define JACOBI_BASE_METHOD 4 /* 9.73% faster than 1 */
/* Tuneup completed successfully, took 111418 seconds */

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dnl ARM mpn_mod_34lsub1 -- remainder modulo 2^24-1.
dnl Copyright 2012, 2013, 2018 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb
C StrongARM ?
C XScale ?
C Cortex-A5 2.67
C Cortex-A7 2.37
C Cortex-A8 2.34
C Cortex-A9 ?
C Cortex-A15 1.39
C Cortex-A17 1.60
C Cortex-A53 2.51
define(`ap', r0)
define(`n', r1)
C mp_limb_t mpn_mod_34lsub1 (mp_srcptr up, mp_size_t n)
C TODO
C * Write cleverer summation code.
C * Consider loading 6 64-bit aligned registers at a time, to approach 1 c/l.
ASM_START()
TEXT
ALIGN(32)
PROLOGUE(mpn_mod_34lsub1)
push { r4, r5, r6, r7 }
subs n, n, #3
mov r7, #0
blt L(le2) C n <= 2
ldmia ap!, { r2, r3, r12 }
subs n, n, #3
blt L(sum) C n <= 5
mov r7, #0
b L(mid)
L(top): adds r2, r2, r4
adcs r3, r3, r5
adcs r12, r12, r6
adc r7, r7, #0
L(mid): ldmia ap!, { r4, r5, r6 }
subs n, n, #3
bpl L(top)
adds r2, r2, r4
adcs r3, r3, r5
adcs r12, r12, r6
adc r7, r7, #0 C r7 <= 1
L(sum): cmn n, #2
movlo r4, #0
ldrhs r4, [ap], #4
movls r5, #0
ldrhi r5, [ap], #4
adds r2, r2, r4
adcs r3, r3, r5
adcs r12, r12, #0
adc r7, r7, #0 C r7 <= 2
L(sum2):
bic r0, r2, #0xff000000
add r0, r0, r2, lsr #24
add r0, r0, r7
mov r7, r3, lsl #8
bic r2, r7, #0xff000000
add r0, r0, r2
add r0, r0, r3, lsr #16
mov r2, r12, lsl #16
bic r1, r2, #0xff000000
add r0, r0, r1
add r0, r0, r12, lsr #8
pop { r4, r5, r6, r7 }
return lr
L(le2): cmn n, #1
bne L(1)
ldmia ap!, { r2, r3 }
mov r12, #0
b L(sum2)
L(1): ldr r2, [ap]
bic r0, r2, #0xff000000
add r0, r0, r2, lsr #24
pop { r4, r5, r6, r7 }
return lr
EPILOGUE()

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dnl ARM mpn_mul_1
dnl Copyright 2018 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
MULFUNC_PROLOGUE(mpn_mul_1)
include_mpn(`arm/v6/mul_1.asm')

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dnl ARM mpn_submul_1
dnl Copyright 2018 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
MULFUNC_PROLOGUE(mpn_submul_1)
include_mpn(`arm/v6/submul_1.asm')

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/* gmp-mparam.h -- Compiler/machine parameter header file.
Copyright 2019 Free Software Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of either:
* the GNU Lesser General Public License as published by the Free
Software Foundation; either version 3 of the License, or (at your
option) any later version.
or
* the GNU General Public License as published by the Free Software
Foundation; either version 2 of the License, or (at your option) any
later version.
or both in parallel, as here.
The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library. If not,
see https://www.gnu.org/licenses/. */
#define GMP_LIMB_BITS 32
#define GMP_LIMB_BYTES 4
/* 1500 MHz Cortex-A5 (odroid c1) */
/* FFT tuning limit = 18,235,562 */
/* Generated by tuneup.c, 2019-10-22, gcc 4.9 */
#define MOD_1_NORM_THRESHOLD 0 /* always */
#define MOD_1_UNNORM_THRESHOLD 0 /* always */
#define MOD_1N_TO_MOD_1_1_THRESHOLD 7
#define MOD_1U_TO_MOD_1_1_THRESHOLD 7
#define MOD_1_1_TO_MOD_1_2_THRESHOLD 8
#define MOD_1_2_TO_MOD_1_4_THRESHOLD MP_SIZE_T_MAX
#define PREINV_MOD_1_TO_MOD_1_THRESHOLD 23
#define USE_PREINV_DIVREM_1 1 /* native */
#define DIV_QR_1N_PI1_METHOD 1 /* 132.79% faster than 2 */
#define DIV_QR_1_NORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIV_QR_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIV_QR_2_PI2_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIVEXACT_1_THRESHOLD 0 /* always (native) */
#define BMOD_1_TO_MOD_1_THRESHOLD 52
#define DIV_1_VS_MUL_1_PERCENT 213
#define MUL_TOOM22_THRESHOLD 48
#define MUL_TOOM33_THRESHOLD 143
#define MUL_TOOM44_THRESHOLD 262
#define MUL_TOOM6H_THRESHOLD 414
#define MUL_TOOM8H_THRESHOLD 527
#define MUL_TOOM32_TO_TOOM43_THRESHOLD 153
#define MUL_TOOM32_TO_TOOM53_THRESHOLD 168
#define MUL_TOOM42_TO_TOOM53_THRESHOLD 152
#define MUL_TOOM42_TO_TOOM63_THRESHOLD 180
#define MUL_TOOM43_TO_TOOM54_THRESHOLD 226
#define SQR_BASECASE_THRESHOLD 0 /* always (native) */
#define SQR_TOOM2_THRESHOLD 66
#define SQR_TOOM3_THRESHOLD 149
#define SQR_TOOM4_THRESHOLD 348
#define SQR_TOOM6_THRESHOLD 517
#define SQR_TOOM8_THRESHOLD 608
#define MULMID_TOOM42_THRESHOLD 70
#define MULMOD_BNM1_THRESHOLD 26
#define SQRMOD_BNM1_THRESHOLD 28
#define MUL_FFT_MODF_THRESHOLD 660 /* k = 5 */
#define MUL_FFT_TABLE3 \
{ { 660, 5}, { 29, 6}, { 15, 5}, { 33, 6}, \
{ 17, 5}, { 35, 6}, { 29, 7}, { 15, 6}, \
{ 37, 7}, { 19, 6}, { 40, 7}, { 21, 6}, \
{ 43, 7}, { 37, 8}, { 19, 7}, { 43, 8}, \
{ 23, 7}, { 51, 8}, { 27, 7}, { 55, 8}, \
{ 31, 7}, { 63, 8}, { 43, 9}, { 23, 8}, \
{ 55, 9}, { 31, 8}, { 71, 9}, { 39, 8}, \
{ 83, 9}, { 47, 8}, { 99, 9}, { 55,10}, \
{ 31, 9}, { 63, 8}, { 127, 9}, { 79,10}, \
{ 47, 9}, { 103,11}, { 31,10}, { 63, 9}, \
{ 135,10}, { 79, 9}, { 167,10}, { 95, 9}, \
{ 191,10}, { 111,11}, { 63,10}, { 159,11}, \
{ 95,10}, { 191, 9}, { 383,12}, { 63,11}, \
{ 127,10}, { 255, 9}, { 511,10}, { 271,11}, \
{ 159,10}, { 319, 9}, { 639,10}, { 335, 9}, \
{ 671,11}, { 191,10}, { 383, 9}, { 767,10}, \
{ 399, 9}, { 799,10}, { 415,11}, { 223,12}, \
{ 127,11}, { 255,10}, { 511, 9}, { 1023,10}, \
{ 543,11}, { 287,10}, { 607,11}, { 319,10}, \
{ 671,11}, { 351,12}, { 191,11}, { 383,10}, \
{ 799,11}, { 415,10}, { 831,13}, { 127,12}, \
{ 255,11}, { 511,10}, { 1023,11}, { 543,10}, \
{ 1087,11}, { 575,10}, { 1151,11}, { 607,12}, \
{ 319,11}, { 703,12}, { 383,11}, { 831,12}, \
{ 447,11}, { 895,13}, { 255,12}, { 511,11}, \
{ 1087,12}, { 575,11}, { 1183,12}, { 639,11}, \
{ 1279,12}, { 703,13}, { 383,12}, { 767,11}, \
{ 1535,12}, { 895,14}, { 255,13}, { 511,12}, \
{ 1151,13}, { 639,12}, { 1407,13}, { 767,12}, \
{ 1599,13}, { 895,12}, { 1791,14}, { 511,13}, \
{ 1023,12}, { 2111,13}, { 1151,12}, { 2367,13}, \
{ 1279,12}, { 2559,13}, { 1407,14}, { 767,13}, \
{ 1535,12}, { 3071,13}, { 1663,12}, { 3327,13}, \
{ 1791,15}, { 511,14}, { 1023,13}, { 2175,12}, \
{ 4351,13}, { 8192,14}, { 16384,15}, { 32768,16} }
#define MUL_FFT_TABLE3_SIZE 140
#define MUL_FFT_THRESHOLD 7552
#define SQR_FFT_MODF_THRESHOLD 590 /* k = 5 */
#define SQR_FFT_TABLE3 \
{ { 590, 5}, { 33, 6}, { 17, 5}, { 35, 6}, \
{ 36, 7}, { 19, 6}, { 40, 7}, { 21, 6}, \
{ 43, 7}, { 23, 6}, { 47, 7}, { 37, 8}, \
{ 19, 7}, { 43, 8}, { 23, 7}, { 49, 8}, \
{ 27, 7}, { 55, 8}, { 31, 7}, { 63, 8}, \
{ 43, 9}, { 23, 8}, { 55, 9}, { 31, 8}, \
{ 67, 9}, { 39, 8}, { 83, 9}, { 47, 8}, \
{ 95, 9}, { 55,10}, { 31, 9}, { 79,10}, \
{ 47, 9}, { 103,11}, { 31,10}, { 63, 9}, \
{ 135,10}, { 79, 9}, { 167,10}, { 95, 9}, \
{ 191,10}, { 111,11}, { 63,10}, { 159,11}, \
{ 95,10}, { 191, 9}, { 383,12}, { 63,11}, \
{ 127,10}, { 255, 9}, { 511,10}, { 271, 9}, \
{ 543,11}, { 159,10}, { 319, 9}, { 639,10}, \
{ 335, 9}, { 671,10}, { 351,11}, { 191,10}, \
{ 383, 9}, { 767,10}, { 415,12}, { 127,11}, \
{ 255,10}, { 511, 9}, { 1023,10}, { 543, 9}, \
{ 1087,11}, { 287,10}, { 575, 9}, { 1151,10}, \
{ 607,11}, { 319,10}, { 671,11}, { 351,12}, \
{ 191,11}, { 383,10}, { 799,11}, { 415,10}, \
{ 831,13}, { 127,12}, { 255,11}, { 511,10}, \
{ 1023,11}, { 543,10}, { 1087,11}, { 575,10}, \
{ 1151,11}, { 607,12}, { 319,11}, { 735,12}, \
{ 383,11}, { 831,12}, { 447,11}, { 927,13}, \
{ 255,12}, { 511,11}, { 1087,12}, { 575,11}, \
{ 1151,12}, { 639,11}, { 1279,12}, { 703,13}, \
{ 383,12}, { 767,11}, { 1535,12}, { 831,11}, \
{ 1663,12}, { 895,11}, { 1791,12}, { 959,14}, \
{ 255,13}, { 511,12}, { 1023,11}, { 2047,12}, \
{ 1151,13}, { 639,12}, { 1407,13}, { 767,12}, \
{ 1599,13}, { 895,12}, { 1791,14}, { 511,13}, \
{ 1023,12}, { 2111,13}, { 1151,12}, { 2367,13}, \
{ 1279,12}, { 2559,13}, { 1407,14}, { 767,13}, \
{ 1535,12}, { 3071,13}, { 1663,12}, { 3327,13}, \
{ 1791,15}, { 511,14}, { 1023,13}, { 2175,12}, \
{ 4351,13}, { 8192,14}, { 16384,15}, { 32768,16} }
#define SQR_FFT_TABLE3_SIZE 144
#define SQR_FFT_THRESHOLD 5760
#define MULLO_BASECASE_THRESHOLD 0 /* always */
#define MULLO_DC_THRESHOLD 39
#define MULLO_MUL_N_THRESHOLD 14709
#define SQRLO_BASECASE_THRESHOLD 8
#define SQRLO_DC_THRESHOLD 33
#define SQRLO_SQR_THRESHOLD 11278
#define DC_DIV_QR_THRESHOLD 36
#define DC_DIVAPPR_Q_THRESHOLD 116
#define DC_BDIV_QR_THRESHOLD 48
#define DC_BDIV_Q_THRESHOLD 140
#define INV_MULMOD_BNM1_THRESHOLD 95
#define INV_NEWTON_THRESHOLD 181
#define INV_APPR_THRESHOLD 125
#define BINV_NEWTON_THRESHOLD 327
#define REDC_1_TO_REDC_2_THRESHOLD 0 /* always */
#define REDC_2_TO_REDC_N_THRESHOLD 152
#define MU_DIV_QR_THRESHOLD 2350
#define MU_DIVAPPR_Q_THRESHOLD 2130
#define MUPI_DIV_QR_THRESHOLD 98
#define MU_BDIV_QR_THRESHOLD 1970
#define MU_BDIV_Q_THRESHOLD 2172
#define POWM_SEC_TABLE 6,37,108,624,2351
#define GET_STR_DC_THRESHOLD 28
#define GET_STR_PRECOMPUTE_THRESHOLD 44
#define SET_STR_DC_THRESHOLD 309
#define SET_STR_PRECOMPUTE_THRESHOLD 762
#define FAC_DSC_THRESHOLD 236
#define FAC_ODD_THRESHOLD 29
#define MATRIX22_STRASSEN_THRESHOLD 25
#define HGCD2_DIV1_METHOD 5 /* 2.92% faster than 3 */
#define HGCD_THRESHOLD 70
#define HGCD_APPR_THRESHOLD 59
#define HGCD_REDUCE_THRESHOLD 4120
#define GCD_DC_THRESHOLD 229
#define GCDEXT_DC_THRESHOLD 233
#define JACOBI_BASE_METHOD 1 /* 17.07% faster than 4 */
/* Tuneup completed successfully, took 47845 seconds */

202
blender-5.2.0/extern/gmp-source/mpn/arm/v7a/cora7/gmp-mparam.h vendored Normal file
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/* gmp-mparam.h -- Compiler/machine parameter header file.
Copyright 2019 Free Software Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of either:
* the GNU Lesser General Public License as published by the Free
Software Foundation; either version 3 of the License, or (at your
option) any later version.
or
* the GNU General Public License as published by the Free Software
Foundation; either version 2 of the License, or (at your option) any
later version.
or both in parallel, as here.
The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library. If not,
see https://www.gnu.org/licenses/. */
#define GMP_LIMB_BITS 32
#define GMP_LIMB_BYTES 4
/* 900 MHz Cortex-A7 (raspberry pi2) */
/* FFT tuning limit = 21,559,921 */
/* Generated by tuneup.c, 2019-10-22, gcc 8.3 */
#define MOD_1_NORM_THRESHOLD 0 /* always */
#define MOD_1_UNNORM_THRESHOLD 0 /* always */
#define MOD_1N_TO_MOD_1_1_THRESHOLD 7
#define MOD_1U_TO_MOD_1_1_THRESHOLD 8
#define MOD_1_1_TO_MOD_1_2_THRESHOLD 0 /* never mpn_mod_1_1p */
#define MOD_1_2_TO_MOD_1_4_THRESHOLD MP_SIZE_T_MAX
#define PREINV_MOD_1_TO_MOD_1_THRESHOLD 18
#define USE_PREINV_DIVREM_1 1 /* native */
#define DIV_QR_1N_PI1_METHOD 1 /* 64.16% faster than 2 */
#define DIV_QR_1_NORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIV_QR_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIV_QR_2_PI2_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIVEXACT_1_THRESHOLD 0 /* always (native) */
#define BMOD_1_TO_MOD_1_THRESHOLD 48
#define DIV_1_VS_MUL_1_PERCENT 216
#define MUL_TOOM22_THRESHOLD 39
#define MUL_TOOM33_THRESHOLD 129
#define MUL_TOOM44_THRESHOLD 196
#define MUL_TOOM6H_THRESHOLD 327
#define MUL_TOOM8H_THRESHOLD 478
#define MUL_TOOM32_TO_TOOM43_THRESHOLD 129
#define MUL_TOOM32_TO_TOOM53_THRESHOLD 183
#define MUL_TOOM42_TO_TOOM53_THRESHOLD 132
#define MUL_TOOM42_TO_TOOM63_THRESHOLD 144
#define MUL_TOOM43_TO_TOOM54_THRESHOLD 190
#define SQR_BASECASE_THRESHOLD 0 /* always (native) */
#define SQR_TOOM2_THRESHOLD 52
#define SQR_TOOM3_THRESHOLD 162
#define SQR_TOOM4_THRESHOLD 268
#define SQR_TOOM6_THRESHOLD 399
#define SQR_TOOM8_THRESHOLD 547
#define MULMID_TOOM42_THRESHOLD 50
#define MULMOD_BNM1_THRESHOLD 21
#define SQRMOD_BNM1_THRESHOLD 25
#define MUL_FFT_MODF_THRESHOLD 636 /* k = 5 */
#define MUL_FFT_TABLE3 \
{ { 636, 5}, { 28, 6}, { 15, 5}, { 31, 6}, \
{ 29, 7}, { 15, 6}, { 33, 7}, { 17, 6}, \
{ 35, 7}, { 19, 6}, { 39, 7}, { 29, 8}, \
{ 15, 7}, { 35, 8}, { 19, 7}, { 43, 8}, \
{ 23, 7}, { 49, 8}, { 27, 7}, { 55, 8}, \
{ 31, 7}, { 63, 8}, { 43, 9}, { 23, 8}, \
{ 55, 9}, { 31, 8}, { 67, 9}, { 39, 8}, \
{ 83, 9}, { 47, 8}, { 95, 9}, { 55,10}, \
{ 31, 9}, { 79,10}, { 47, 9}, { 103,11}, \
{ 31,10}, { 63, 9}, { 135,10}, { 79, 9}, \
{ 159,10}, { 95, 9}, { 191,10}, { 111,11}, \
{ 63,10}, { 159,11}, { 95,10}, { 191,12}, \
{ 63,11}, { 127,10}, { 255, 9}, { 511,10}, \
{ 271, 9}, { 543,11}, { 159,10}, { 319, 9}, \
{ 639,10}, { 335, 9}, { 671,10}, { 351,11}, \
{ 191,10}, { 383, 9}, { 767,10}, { 399, 9}, \
{ 799,10}, { 415,11}, { 223,12}, { 127,11}, \
{ 255,10}, { 511, 9}, { 1023,10}, { 543,11}, \
{ 287,10}, { 607,11}, { 319,10}, { 671,11}, \
{ 351,12}, { 191,11}, { 383,10}, { 799,11}, \
{ 415,10}, { 831,13}, { 127,12}, { 255,11}, \
{ 511,10}, { 1023,11}, { 543,10}, { 1087,11}, \
{ 607,12}, { 319,11}, { 735,12}, { 383,11}, \
{ 863,12}, { 447,11}, { 959,13}, { 255,12}, \
{ 511,11}, { 1087,12}, { 575,11}, { 1215,12}, \
{ 639,11}, { 1279,12}, { 703,13}, { 383,12}, \
{ 767,11}, { 1599,12}, { 959,14}, { 255,13}, \
{ 511,12}, { 1215,13}, { 639,12}, { 1471,13}, \
{ 767,12}, { 1663,13}, { 895,12}, { 1855,14}, \
{ 511,13}, { 1023,12}, { 2111,13}, { 1151,12}, \
{ 2431,13}, { 1407,14}, { 767,13}, { 1663,12}, \
{ 3327,13}, { 1791,15}, { 511,14}, { 1023,13}, \
{ 2431,14}, { 1279,13}, { 8192,14}, { 16384,15}, \
{ 32768,16} }
#define MUL_FFT_TABLE3_SIZE 133
#define MUL_FFT_THRESHOLD 6784
#define SQR_FFT_MODF_THRESHOLD 535 /* k = 5 */
#define SQR_FFT_TABLE3 \
{ { 535, 5}, { 25, 6}, { 13, 5}, { 28, 6}, \
{ 15, 5}, { 31, 6}, { 29, 7}, { 15, 6}, \
{ 33, 7}, { 17, 6}, { 36, 7}, { 19, 6}, \
{ 39, 7}, { 29, 8}, { 15, 7}, { 37, 8}, \
{ 19, 7}, { 43, 8}, { 23, 7}, { 49, 8}, \
{ 27, 7}, { 55, 8}, { 31, 7}, { 63, 8}, \
{ 43, 9}, { 23, 8}, { 55, 9}, { 31, 8}, \
{ 67, 9}, { 39, 8}, { 79, 9}, { 47, 8}, \
{ 95, 9}, { 55,10}, { 31, 9}, { 79,10}, \
{ 47, 9}, { 103,11}, { 31,10}, { 63, 9}, \
{ 135,10}, { 79, 9}, { 159,10}, { 95, 9}, \
{ 191,10}, { 111,11}, { 63,10}, { 143, 9}, \
{ 287,10}, { 159,11}, { 95,10}, { 191,12}, \
{ 63,11}, { 127,10}, { 255, 9}, { 511,10}, \
{ 271, 9}, { 543,10}, { 287,11}, { 159,10}, \
{ 319, 9}, { 639,10}, { 335, 9}, { 671,10}, \
{ 351,11}, { 191,10}, { 383, 9}, { 767,10}, \
{ 399, 9}, { 799,10}, { 415, 9}, { 831,11}, \
{ 223,12}, { 127,10}, { 543,11}, { 287,10}, \
{ 607,11}, { 319,10}, { 671,11}, { 351,10}, \
{ 703,12}, { 191,11}, { 383,10}, { 799,11}, \
{ 415,10}, { 831,13}, { 127,11}, { 511,10}, \
{ 1023,11}, { 543,10}, { 1087,11}, { 607,12}, \
{ 319,11}, { 735,12}, { 383,11}, { 863,12}, \
{ 447,11}, { 991,12}, { 511,11}, { 1087,12}, \
{ 575,11}, { 1215,12}, { 639,11}, { 1279,12}, \
{ 703,13}, { 383,12}, { 767,11}, { 1535,12}, \
{ 831,11}, { 1663,12}, { 959,13}, { 511,12}, \
{ 1215,13}, { 639,12}, { 1471,13}, { 767,12}, \
{ 1663,13}, { 895,12}, { 1855,14}, { 511,13}, \
{ 1023,12}, { 2111,13}, { 1151,12}, { 2431,13}, \
{ 1407,14}, { 767,13}, { 1791,15}, { 511,14}, \
{ 1023,13}, { 2431,14}, { 1279,13}, { 8192,14}, \
{ 16384,15}, { 32768,16} }
#define SQR_FFT_TABLE3_SIZE 134
#define SQR_FFT_THRESHOLD 4736
#define MULLO_BASECASE_THRESHOLD 0 /* always */
#define MULLO_DC_THRESHOLD 27
#define MULLO_MUL_N_THRESHOLD 13463
#define SQRLO_BASECASE_THRESHOLD 5
#define SQRLO_DC_THRESHOLD 31
#define SQRLO_SQR_THRESHOLD 9449
#define DC_DIV_QR_THRESHOLD 28
#define DC_DIVAPPR_Q_THRESHOLD 90
#define DC_BDIV_QR_THRESHOLD 32
#define DC_BDIV_Q_THRESHOLD 110
#define INV_MULMOD_BNM1_THRESHOLD 78
#define INV_NEWTON_THRESHOLD 134
#define INV_APPR_THRESHOLD 98
#define BINV_NEWTON_THRESHOLD 278
#define REDC_1_TO_REDC_2_THRESHOLD 4
#define REDC_2_TO_REDC_N_THRESHOLD 123
#define MU_DIV_QR_THRESHOLD 1718
#define MU_DIVAPPR_Q_THRESHOLD 1685
#define MUPI_DIV_QR_THRESHOLD 62
#define MU_BDIV_QR_THRESHOLD 1528
#define MU_BDIV_Q_THRESHOLD 1718
#define POWM_SEC_TABLE 1,22,95,563,1955
#define GET_STR_DC_THRESHOLD 28
#define GET_STR_PRECOMPUTE_THRESHOLD 51
#define SET_STR_DC_THRESHOLD 182
#define SET_STR_PRECOMPUTE_THRESHOLD 638
#define FAC_DSC_THRESHOLD 153
#define FAC_ODD_THRESHOLD 56
#define MATRIX22_STRASSEN_THRESHOLD 25
#define HGCD2_DIV1_METHOD 1 /* 5.04% faster than 3 */
#define HGCD_THRESHOLD 55
#define HGCD_APPR_THRESHOLD 50
#define HGCD_REDUCE_THRESHOLD 3389
#define GCD_DC_THRESHOLD 153
#define GCDEXT_DC_THRESHOLD 180
#define JACOBI_BASE_METHOD 1 /* 30.60% faster than 4 */
/* Tuneup completed successfully, took 75202 seconds */

158
blender-5.2.0/extern/gmp-source/mpn/arm/v7a/cora8/bdiv_q_1.asm vendored Normal file
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dnl ARM v6 mpn_bdiv_q_1, mpn_pi1_bdiv_q_1 -- Hensel division by 1-limb divisor.
dnl This is v6 code but it runs well on just the v7a Cortex-A8, A9, and A15.
dnl Contributed to the GNU project by Torbjörn Granlund.
dnl Copyright 2012, 2013, 2017 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb
C norm unorm
C 1176 - -
C Cortex-A5 9 13
C Cortex-A7 12 18
C Cortex-A8 13 14
C Cortex-A9 9 10 not measured since latest edits
C Cortex-A15 7 7
C Cortex-A53 16 24
C Architecture requirements:
C v5 -
C v5t clz
C v5te -
C v6 umaal
C v6t2 -
C v7a -
define(`rp', `r0')
define(`up', `r1')
define(`n', `r2')
define(`d', `r3')
define(`di_arg', `sp[0]') C just mpn_pi1_bdiv_q_1
define(`cnt_arg', `sp[4]') C just mpn_pi1_bdiv_q_1
define(`cy', `r7')
define(`cnt', `r6')
define(`tnc', `r4')
ASM_START()
PROLOGUE(mpn_bdiv_q_1)
push {r6-r11}
rsb r10, d, #0
and r10, r10, d
clz r10, r10
rsbs cnt, r10, #31 C count_trailing_zeros
mov d, d, lsr cnt
C binvert limb
LEA( r10, binvert_limb_table)
and r12, d, #254
ldrb r10, [r10, r12, lsr #1]
mul r12, r10, r10
mul r12, d, r12
rsb r12, r12, r10, lsl #1
mul r10, r12, r12
mul r10, d, r10
rsb r10, r10, r12, lsl #1 C r10 = inverse
b L(pi1)
EPILOGUE()
PROLOGUE(mpn_pi1_bdiv_q_1)
push {r6-r11}
ldr cnt, [sp, #28]
ldr r10, [sp, #24]
cmp cnt, #0
L(pi1): ldr r11, [up], #4 C up[0]
mov cy, #0
rsb r8, r10, #0 C r8 = -inverse
bne L(unorm)
L(norm):
subs n, n, #1
mul r11, r11, r10
beq L(edn)
ALIGN(16)
L(tpn): ldr r9, [up], #4
mov r12, #0
str r11, [rp], #4
umaal r12, cy, r11, d
mul r11, r9, r10
mla r11, cy, r8, r11
subs n, n, #1
bne L(tpn)
L(edn): str r11, [rp]
pop {r6-r11}
bx r14
L(unorm):
push {r4-r5}
rsb tnc, cnt, #32
mov r5, r11, lsr cnt
subs n, n, #1
beq L(ed1)
ldr r12, [up], #4
orr r9, r5, r12, lsl tnc
mov r5, r12, lsr cnt
mul r11, r9, r10
subs n, n, #1
beq L(edu)
ALIGN(16)
L(tpu): ldr r12, [up], #4
orr r9, r5, r12, lsl tnc
mov r5, r12, lsr cnt
mov r12, #0
str r11, [rp], #4
umaal r12, cy, r11, d
mul r11, r9, r10
mla r11, cy, r8, r11
subs n, n, #1
bne L(tpu)
L(edu): str r11, [rp], #4
mov r12, #0
umaal r12, cy, r11, d
mul r11, r5, r10
mla r11, cy, r8, r11
str r11, [rp]
pop {r4-r11}
bx r14
L(ed1): mul r11, r5, r10
str r11, [rp]
pop {r4-r11}
bx r14
EPILOGUE()

207
blender-5.2.0/extern/gmp-source/mpn/arm/v7a/cora8/gmp-mparam.h vendored Normal file
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/* gmp-mparam.h -- Compiler/machine parameter header file.
Copyright 2019 Free Software Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of either:
* the GNU Lesser General Public License as published by the Free
Software Foundation; either version 3 of the License, or (at your
option) any later version.
or
* the GNU General Public License as published by the Free Software
Foundation; either version 2 of the License, or (at your option) any
later version.
or both in parallel, as here.
The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library. If not,
see https://www.gnu.org/licenses/. */
#define GMP_LIMB_BITS 32
#define GMP_LIMB_BYTES 4
/* 1000 MHz Cortex-A8 (beaglebone black) */
/* FFT tuning limit = 9,464,348 */
/* Generated by tuneup.c, 2019-10-23, gcc 6.3 */
#define MOD_1_NORM_THRESHOLD 0 /* always */
#define MOD_1_UNNORM_THRESHOLD 0 /* always */
#define MOD_1N_TO_MOD_1_1_THRESHOLD 5
#define MOD_1U_TO_MOD_1_1_THRESHOLD 5
#define MOD_1_1_TO_MOD_1_2_THRESHOLD MP_SIZE_T_MAX
#define MOD_1_2_TO_MOD_1_4_THRESHOLD 0 /* never mpn_mod_1s_2p */
#define PREINV_MOD_1_TO_MOD_1_THRESHOLD 12
#define USE_PREINV_DIVREM_1 1 /* native */
#define DIV_QR_1N_PI1_METHOD 1 /* 50.65% faster than 2 */
#define DIV_QR_1_NORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIV_QR_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIV_QR_2_PI2_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIVEXACT_1_THRESHOLD 0 /* always (native) */
#define BMOD_1_TO_MOD_1_THRESHOLD 31
#define DIV_1_VS_MUL_1_PERCENT 192
#define MUL_TOOM22_THRESHOLD 39
#define MUL_TOOM33_THRESHOLD 129
#define MUL_TOOM44_THRESHOLD 226
#define MUL_TOOM6H_THRESHOLD 366
#define MUL_TOOM8H_THRESHOLD 620
#define MUL_TOOM32_TO_TOOM43_THRESHOLD 141
#define MUL_TOOM32_TO_TOOM53_THRESHOLD 183
#define MUL_TOOM42_TO_TOOM53_THRESHOLD 154
#define MUL_TOOM42_TO_TOOM63_THRESHOLD 160
#define MUL_TOOM43_TO_TOOM54_THRESHOLD 193
#define SQR_BASECASE_THRESHOLD 0 /* always (native) */
#define SQR_TOOM2_THRESHOLD 46
#define SQR_TOOM3_THRESHOLD 145
#define SQR_TOOM4_THRESHOLD 375
#define SQR_TOOM6_THRESHOLD 0 /* always */
#define SQR_TOOM8_THRESHOLD 547
#define MULMID_TOOM42_THRESHOLD 38
#define MULMOD_BNM1_THRESHOLD 22
#define SQRMOD_BNM1_THRESHOLD 23
#define MUL_FFT_MODF_THRESHOLD 476 /* k = 5 */
#define MUL_FFT_TABLE3 \
{ { 476, 5}, { 28, 6}, { 15, 5}, { 31, 6}, \
{ 28, 7}, { 15, 6}, { 33, 7}, { 19, 6}, \
{ 39, 7}, { 27, 8}, { 15, 7}, { 35, 8}, \
{ 19, 7}, { 43, 8}, { 23, 7}, { 51, 8}, \
{ 27, 7}, { 55, 8}, { 31, 7}, { 63, 8}, \
{ 43, 9}, { 23, 8}, { 55, 9}, { 31, 8}, \
{ 71, 9}, { 39, 8}, { 83, 9}, { 47, 8}, \
{ 99, 9}, { 55,10}, { 31, 9}, { 87,10}, \
{ 47, 9}, { 103,11}, { 31,10}, { 63, 9}, \
{ 135,10}, { 79, 9}, { 167,10}, { 95, 9}, \
{ 199,10}, { 111,11}, { 63,10}, { 127, 9}, \
{ 255,10}, { 143, 9}, { 287, 8}, { 575,10}, \
{ 159, 9}, { 319,11}, { 95,10}, { 191, 9}, \
{ 383, 8}, { 767, 9}, { 399,10}, { 207,12}, \
{ 63,11}, { 127,10}, { 255, 9}, { 511,10}, \
{ 271, 9}, { 543,10}, { 287, 9}, { 575,11}, \
{ 159,10}, { 319, 9}, { 639,10}, { 335, 9}, \
{ 671,10}, { 351, 9}, { 703,10}, { 367,11}, \
{ 191,10}, { 399, 9}, { 799,10}, { 415,11}, \
{ 223,12}, { 127,11}, { 255,10}, { 543,11}, \
{ 287,10}, { 607, 9}, { 1215,11}, { 319,10}, \
{ 671,11}, { 351,10}, { 703,12}, { 191,11}, \
{ 383,10}, { 799,11}, { 415,10}, { 863,11}, \
{ 447,13}, { 127,12}, { 255,11}, { 543,10}, \
{ 1087,11}, { 607,12}, { 319,11}, { 671,10}, \
{ 1343,11}, { 735,12}, { 383,11}, { 799,10}, \
{ 1599,11}, { 863,12}, { 447,11}, { 959,13}, \
{ 255,12}, { 511,11}, { 1087,12}, { 575,11}, \
{ 1215,12}, { 639,11}, { 1343,12}, { 703,13}, \
{ 383,12}, { 767,11}, { 1599,12}, { 831,11}, \
{ 1663,12}, { 959,14}, { 255,13}, { 511,12}, \
{ 1215,13}, { 639,12}, { 1407,13}, { 767,12}, \
{ 1663,13}, { 895,12}, { 1791,14}, { 511,13}, \
{ 1023,12}, { 2111,13}, { 1151,12}, { 4096,13}, \
{ 8192,14}, { 16384,15}, { 32768,16} }
#define MUL_FFT_TABLE3_SIZE 139
#define MUL_FFT_THRESHOLD 6784
#define SQR_FFT_MODF_THRESHOLD 436 /* k = 5 */
#define SQR_FFT_TABLE3 \
{ { 436, 5}, { 25, 6}, { 13, 5}, { 27, 6}, \
{ 28, 7}, { 15, 6}, { 32, 7}, { 17, 6}, \
{ 35, 7}, { 19, 6}, { 39, 7}, { 29, 8}, \
{ 15, 7}, { 35, 8}, { 19, 7}, { 41, 8}, \
{ 23, 7}, { 49, 8}, { 27, 9}, { 15, 8}, \
{ 43, 9}, { 23, 8}, { 55,10}, { 15, 9}, \
{ 31, 8}, { 67, 9}, { 39, 8}, { 79, 9}, \
{ 47, 8}, { 95, 9}, { 55,10}, { 31, 9}, \
{ 79,10}, { 47, 9}, { 103,11}, { 31,10}, \
{ 63, 9}, { 135,10}, { 79, 9}, { 159, 8}, \
{ 319, 9}, { 167,10}, { 95, 9}, { 191,10}, \
{ 111,11}, { 63,10}, { 127, 9}, { 255, 8}, \
{ 511, 9}, { 271,10}, { 143, 9}, { 287, 8}, \
{ 575, 9}, { 303,10}, { 159, 9}, { 319,11}, \
{ 95,10}, { 191, 9}, { 383, 8}, { 767, 9}, \
{ 399,12}, { 63,11}, { 127,10}, { 255, 9}, \
{ 511,10}, { 271, 9}, { 543,10}, { 287, 9}, \
{ 575,10}, { 303,11}, { 159,10}, { 319, 9}, \
{ 639,10}, { 335, 9}, { 671,10}, { 351, 9}, \
{ 703,10}, { 367,11}, { 191,10}, { 383, 9}, \
{ 767,10}, { 399, 9}, { 799,10}, { 415, 9}, \
{ 831,11}, { 223,10}, { 447,12}, { 127,11}, \
{ 255,10}, { 511, 9}, { 1023,10}, { 543,11}, \
{ 287,10}, { 607,11}, { 319,10}, { 671,11}, \
{ 351,10}, { 735,12}, { 191,11}, { 383,10}, \
{ 799,11}, { 415,10}, { 863,11}, { 447,10}, \
{ 895,13}, { 127,12}, { 255,11}, { 511,10}, \
{ 1023,11}, { 543,10}, { 1087,11}, { 607,12}, \
{ 319,11}, { 671,10}, { 1343,11}, { 735,12}, \
{ 383,11}, { 863,12}, { 447,11}, { 959,13}, \
{ 255,12}, { 511,11}, { 1087,12}, { 575,11}, \
{ 1215,12}, { 639,11}, { 1343,12}, { 703,11}, \
{ 1407,13}, { 383,12}, { 767,11}, { 1599,12}, \
{ 831,11}, { 1663,12}, { 959,14}, { 255,13}, \
{ 511,12}, { 1215,13}, { 639,12}, { 1471,13}, \
{ 767,12}, { 1663,13}, { 895,12}, { 1855,14}, \
{ 511,13}, { 1023,12}, { 2111,13}, { 1151,12}, \
{ 4096,13}, { 8192,14}, { 16384,15}, { 32768,16} }
#define SQR_FFT_TABLE3_SIZE 152
#define SQR_FFT_THRESHOLD 3712
#define MULLO_BASECASE_THRESHOLD 21
#define MULLO_DC_THRESHOLD 0 /* never mpn_mullo_basecase */
#define MULLO_MUL_N_THRESHOLD 13463
#define SQRLO_BASECASE_THRESHOLD 9
#define SQRLO_DC_THRESHOLD 17
#define SQRLO_SQR_THRESHOLD 7246
#define DC_DIV_QR_THRESHOLD 27
#define DC_DIVAPPR_Q_THRESHOLD 74
#define DC_BDIV_QR_THRESHOLD 21
#define DC_BDIV_Q_THRESHOLD 64
#define INV_MULMOD_BNM1_THRESHOLD 78
#define INV_NEWTON_THRESHOLD 31
#define INV_APPR_THRESHOLD 37
#define BINV_NEWTON_THRESHOLD 167
#define REDC_1_TO_REDC_2_THRESHOLD 4
#define REDC_2_TO_REDC_N_THRESHOLD 198
#define MU_DIV_QR_THRESHOLD 1858
#define MU_DIVAPPR_Q_THRESHOLD 1685
#define MUPI_DIV_QR_THRESHOLD 43
#define MU_BDIV_QR_THRESHOLD 1589
#define MU_BDIV_Q_THRESHOLD 1685
#define POWM_SEC_TABLE 1,13,96,487,1378
#define GET_STR_DC_THRESHOLD 18
#define GET_STR_PRECOMPUTE_THRESHOLD 36
#define SET_STR_DC_THRESHOLD 145
#define SET_STR_PRECOMPUTE_THRESHOLD 505
#define FAC_DSC_THRESHOLD 137
#define FAC_ODD_THRESHOLD 29
#define MATRIX22_STRASSEN_THRESHOLD 24
#define HGCD2_DIV1_METHOD 5 /* 4.29% faster than 4 */
#define HGCD_THRESHOLD 39
#define HGCD_APPR_THRESHOLD 50
#define HGCD_REDUCE_THRESHOLD 3524
#define GCD_DC_THRESHOLD 116
#define GCDEXT_DC_THRESHOLD 124
#define JACOBI_BASE_METHOD 4 /* 5.89% faster than 1 */
/* Tuneup completed successfully, took 48230 seconds */

36
blender-5.2.0/extern/gmp-source/mpn/arm/v7a/cora9/bdiv_q_1.asm vendored Normal file
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dnl ARM mpn_bdiv_q_1, mpn_pi1_bdiv_q_1 -- Hensel division by 1-limb divisor.
dnl Contributed to the GNU project by Torbjörn Granlund.
dnl Copyright 2012, 2013, 2017 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
MULFUNC_PROLOGUE(mpn_bdiv_q_1 mpn_pi1_bdiv_q_1)
include_mpn(`arm/v7a/cora8/bdiv_q_1.asm')

211
blender-5.2.0/extern/gmp-source/mpn/arm/v7a/cora9/gmp-mparam.h vendored Normal file
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/* gmp-mparam.h -- Compiler/machine parameter header file.
Copyright 1991, 1993, 1994, 1999-2003, 2009, 2010, 2012-2015 Free Software
Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of either:
* the GNU Lesser General Public License as published by the Free
Software Foundation; either version 3 of the License, or (at your
option) any later version.
or
* the GNU General Public License as published by the Free Software
Foundation; either version 2 of the License, or (at your option) any
later version.
or both in parallel, as here.
The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library. If not,
see https://www.gnu.org/licenses/. */
#define GMP_LIMB_BITS 32
#define GMP_LIMB_BYTES 4
/* 1000 MHz Cortex-A9 */
/* FFT tuning limit = 25 M */
/* Generated by tuneup.c, 2014-03-12, gcc 4.6 */
#define MOD_1_NORM_THRESHOLD 0 /* always */
#define MOD_1_UNNORM_THRESHOLD 0 /* always */
#define MOD_1N_TO_MOD_1_1_THRESHOLD 5
#define MOD_1U_TO_MOD_1_1_THRESHOLD 4
#define MOD_1_1_TO_MOD_1_2_THRESHOLD 8
#define MOD_1_2_TO_MOD_1_4_THRESHOLD MP_SIZE_T_MAX
#define PREINV_MOD_1_TO_MOD_1_THRESHOLD 12
#define USE_PREINV_DIVREM_1 1 /* native */
#define DIV_QR_1N_PI1_METHOD 1
#define DIV_QR_1_NORM_THRESHOLD 5
#define DIV_QR_1_UNNORM_THRESHOLD 1
#define DIV_QR_2_PI2_THRESHOLD MP_SIZE_T_MAX /* never */
#define DIVEXACT_1_THRESHOLD 0 /* always (native) */
#define BMOD_1_TO_MOD_1_THRESHOLD 20
#define DIV_1_VS_MUL_1_PERCENT 190
#define MUL_TOOM22_THRESHOLD 45
#define MUL_TOOM33_THRESHOLD 129
#define MUL_TOOM44_THRESHOLD 387
#define MUL_TOOM6H_THRESHOLD 537
#define MUL_TOOM8H_THRESHOLD 774
#define MUL_TOOM32_TO_TOOM43_THRESHOLD 141
#define MUL_TOOM32_TO_TOOM53_THRESHOLD 237
#define MUL_TOOM42_TO_TOOM53_THRESHOLD 141
#define MUL_TOOM42_TO_TOOM63_THRESHOLD 258
#define MUL_TOOM43_TO_TOOM54_THRESHOLD 211
#define SQR_BASECASE_THRESHOLD 0 /* always (native) */
#define SQR_TOOM2_THRESHOLD 64
#define SQR_TOOM3_THRESHOLD 189
#define SQR_TOOM4_THRESHOLD 517
#define SQR_TOOM6_THRESHOLD 656
#define SQR_TOOM8_THRESHOLD 0 /* always */
#define MULMID_TOOM42_THRESHOLD 62
#define MULMOD_BNM1_THRESHOLD 23
#define SQRMOD_BNM1_THRESHOLD 28
#define MUL_FFT_MODF_THRESHOLD 630 /* k = 5 */
#define MUL_FFT_TABLE3 \
{ { 630, 5}, { 29, 6}, { 15, 5}, { 33, 6}, \
{ 17, 5}, { 35, 6}, { 36, 7}, { 19, 6}, \
{ 40, 7}, { 21, 6}, { 43, 7}, { 23, 6}, \
{ 47, 7}, { 25, 6}, { 51, 7}, { 27, 6}, \
{ 55, 7}, { 29, 8}, { 15, 7}, { 37, 8}, \
{ 19, 7}, { 43, 8}, { 23, 7}, { 51, 8}, \
{ 27, 7}, { 57, 9}, { 15, 8}, { 31, 7}, \
{ 65, 8}, { 35, 7}, { 71, 8}, { 43, 9}, \
{ 23, 8}, { 55, 9}, { 31, 8}, { 71, 9}, \
{ 39, 8}, { 83, 9}, { 47, 8}, { 99, 9}, \
{ 55,10}, { 31, 9}, { 79,10}, { 47, 9}, \
{ 103,11}, { 31,10}, { 63, 9}, { 135,10}, \
{ 79, 9}, { 167,10}, { 95, 9}, { 191,10}, \
{ 111,11}, { 63,10}, { 159,11}, { 95,10}, \
{ 191, 9}, { 383,12}, { 63,11}, { 127,10}, \
{ 255, 9}, { 511,10}, { 271, 9}, { 543,11}, \
{ 159,10}, { 319, 9}, { 639,10}, { 335, 9}, \
{ 671,11}, { 191,10}, { 383, 9}, { 767,10}, \
{ 399, 9}, { 799,10}, { 415,11}, { 223,12}, \
{ 127,11}, { 255,10}, { 511, 9}, { 1023,10}, \
{ 543,11}, { 287,10}, { 607,11}, { 319,10}, \
{ 671,11}, { 351,12}, { 191,11}, { 383,10}, \
{ 799,11}, { 415,10}, { 831,13}, { 127,12}, \
{ 255,11}, { 511,10}, { 1023,11}, { 543,10}, \
{ 1087,11}, { 607,12}, { 319,11}, { 735,12}, \
{ 383,11}, { 831,12}, { 447,11}, { 927,13}, \
{ 255,12}, { 511,11}, { 1087,12}, { 575,11}, \
{ 1215,12}, { 639,11}, { 1343,12}, { 703,13}, \
{ 383,12}, { 767,11}, { 1535,12}, { 831,11}, \
{ 1663,12}, { 895,14}, { 255,13}, { 511,12}, \
{ 1023,11}, { 2047,12}, { 1151,13}, { 639,12}, \
{ 1407,13}, { 767,12}, { 1663,13}, { 895,12}, \
{ 1791,14}, { 511,13}, { 1023,12}, { 2111,13}, \
{ 1151,12}, { 2431,13}, { 1279,12}, { 2559,13}, \
{ 1407,14}, { 767,13}, { 1535,12}, { 3071,13}, \
{ 1663,12}, { 3455,13}, { 1791,15}, { 511,14}, \
{ 1023,13}, { 2047,12}, { 4095,13}, { 2175,12}, \
{ 4479,13}, { 2431,14}, { 1279,13}, { 2559,12}, \
{ 5119,13}, { 2815,12}, { 5631,14}, { 16384,15}, \
{ 32768,16} }
#define MUL_FFT_TABLE3_SIZE 157
#define MUL_FFT_THRESHOLD 6784
#define SQR_FFT_MODF_THRESHOLD 565 /* k = 5 */
#define SQR_FFT_TABLE3 \
{ { 565, 5}, { 19, 4}, { 40, 5}, { 21, 4}, \
{ 43, 5}, { 28, 6}, { 15, 5}, { 35, 6}, \
{ 29, 7}, { 15, 6}, { 37, 7}, { 19, 6}, \
{ 39, 7}, { 21, 6}, { 43, 7}, { 23, 6}, \
{ 47, 7}, { 29, 8}, { 15, 7}, { 37, 8}, \
{ 19, 7}, { 43, 8}, { 23, 7}, { 51, 8}, \
{ 27, 7}, { 55, 9}, { 15, 8}, { 31, 7}, \
{ 65, 8}, { 35, 7}, { 71, 8}, { 43, 9}, \
{ 23, 8}, { 55,10}, { 15, 9}, { 31, 8}, \
{ 71, 9}, { 39, 8}, { 83, 9}, { 47, 8}, \
{ 95, 9}, { 55,10}, { 31, 9}, { 79,10}, \
{ 47, 9}, { 103,11}, { 31,10}, { 63, 9}, \
{ 135,10}, { 79, 9}, { 159,10}, { 95, 9}, \
{ 191,10}, { 111,11}, { 63,10}, { 159,11}, \
{ 95,10}, { 191, 9}, { 383,12}, { 63,11}, \
{ 127,10}, { 255, 9}, { 511, 8}, { 1023, 9}, \
{ 527,10}, { 271, 9}, { 543,10}, { 287,11}, \
{ 159, 9}, { 639,10}, { 335, 9}, { 671,10}, \
{ 351,11}, { 191,10}, { 383, 9}, { 767,10}, \
{ 399, 9}, { 799,10}, { 415,11}, { 223,12}, \
{ 127,11}, { 255,10}, { 511, 9}, { 1023,10}, \
{ 543,11}, { 287,10}, { 671,11}, { 351,12}, \
{ 191,11}, { 383,10}, { 799,11}, { 415,10}, \
{ 831,13}, { 127,12}, { 255,11}, { 511,10}, \
{ 1023,11}, { 543,10}, { 1087,11}, { 735,12}, \
{ 383,11}, { 831,12}, { 447,11}, { 927,13}, \
{ 255,12}, { 511,11}, { 1087,12}, { 575,11}, \
{ 1151,12}, { 639,11}, { 1343,12}, { 703,13}, \
{ 383,12}, { 767,11}, { 1535,12}, { 831,11}, \
{ 1663,12}, { 959,13}, { 511,12}, { 1023,11}, \
{ 2047,12}, { 1151,13}, { 639,12}, { 1407,13}, \
{ 767,12}, { 1599,13}, { 895,12}, { 1791,14}, \
{ 511,13}, { 1023,12}, { 2111,13}, { 1151,12}, \
{ 2431,13}, { 1279,12}, { 2559,13}, { 1407,14}, \
{ 767,13}, { 1535,12}, { 3071,13}, { 1663,12}, \
{ 3455,13}, { 1791,15}, { 511,14}, { 1023,13}, \
{ 2047,12}, { 4095,13}, { 2175,12}, { 4479,13}, \
{ 2303,14}, { 1279,13}, { 2559,12}, { 5119,13}, \
{ 2815,14}, { 16384,15}, { 32768,16} }
#define SQR_FFT_TABLE3_SIZE 155
#define SQR_FFT_THRESHOLD 5568
#define MULLO_BASECASE_THRESHOLD 0 /* always */
#define MULLO_DC_THRESHOLD 37
#define MULLO_MUL_N_THRESHOLD 13463
#define SQRLO_BASECASE_THRESHOLD 12
#define SQRLO_DC_THRESHOLD 22
#define SQRLO_SQR_THRESHOLD 10950
#define DC_DIV_QR_THRESHOLD 32
#define DC_DIVAPPR_Q_THRESHOLD 99
#define DC_BDIV_QR_THRESHOLD 43
#define DC_BDIV_Q_THRESHOLD 102
#define INV_MULMOD_BNM1_THRESHOLD 88
#define INV_NEWTON_THRESHOLD 141
#define INV_APPR_THRESHOLD 111
#define BINV_NEWTON_THRESHOLD 312
#define REDC_1_TO_REDC_2_THRESHOLD 6
#define REDC_2_TO_REDC_N_THRESHOLD 140
#define MU_DIV_QR_THRESHOLD 2492
#define MU_DIVAPPR_Q_THRESHOLD 2130
#define MUPI_DIV_QR_THRESHOLD 55
#define MU_BDIV_QR_THRESHOLD 2130
#define MU_BDIV_Q_THRESHOLD 2172
#define POWM_SEC_TABLE 40,53,56,71,1985
#define GET_STR_DC_THRESHOLD 16
#define GET_STR_PRECOMPUTE_THRESHOLD 33
#define SET_STR_DC_THRESHOLD 172
#define SET_STR_PRECOMPUTE_THRESHOLD 671
#define FAC_DSC_THRESHOLD 309
#define FAC_ODD_THRESHOLD 29
#define MATRIX22_STRASSEN_THRESHOLD 24
#define HGCD_THRESHOLD 61
#define HGCD_APPR_THRESHOLD 50
#define HGCD_REDUCE_THRESHOLD 4120
#define GCD_DC_THRESHOLD 408
#define GCDEXT_DC_THRESHOLD 303
#define JACOBI_BASE_METHOD 4