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desc
@@


1.1
log
@Initial revision
@
text
@dnl  PowerPC-32 mpn_mod_34lsub1 -- mpn remainder mod 2^24-1.

dnl  Copyright 2002, 2003, 2005, 2006, 2007 Free Software Foundation, Inc.

dnl  This file is part of the GNU MP Library.

dnl  The GNU MP Library is free software; you can redistribute it and/or modify
dnl  it under the terms of the GNU Lesser General Public License as published
dnl  by the Free Software Foundation; either version 3 of the License, or (at
dnl  your option) any later version.

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 Lesser General Public
dnl  License for more details.

dnl  You should have received a copy of the GNU Lesser General Public License
dnl  along with the GNU MP Library.  If not, see http://www.gnu.org/licenses/.


include(`../config.m4')


C                cycles/limb
C 603e:              -
C 604e:              -
C 75x (G3):          -
C 7400,7410 (G4):    1          simple load-use scheduling results in 0.75
C 744x,745x (G4+):   0.75
C ppc970:            0.75
C power4:            -
C power5:            -

C TODO
C  * Either start using the low-end masking constants, or remove them.
C  * Merge multiple feed-in cases into a parameterized code block.
C  * Reduce register usage.  It should be possible to almost halve it.

define(`up', `r3')
define(`n', `r4')

define(`a0', `v3')
define(`a1', `v4')
define(`a2', `v5')
define(`c0', `v6')
define(`c1', `v7')
define(`c2', `v8')
define(`z',  `v9')
define(`x0', `v10')
define(`x1', `v11')
define(`x2', `v12')
define(`x3', `v13')
define(`pv', `v14')
define(`y0', `v0')
define(`y1', `v1')
define(`y2', `v2')
define(`y3', `v15')

ASM_START()
PROLOGUE(mpn_mod_34lsub1)
	cmpwi	cr0, n, 20		C tuned cutoff point
	bge	L(large)

	li	r9, 0			C result accumulator
	mulli	r10, n, 0xb		C 0xb = ceil(32/3)
	srwi.	r10, r10, 5		C r10 = floor(n/3), n < 32
	beq	L(small_tail)
	mtctr	r10
	lwz	r6, 0(up)
	lwz	r7, 4(up)
	lwzu	r8, 8(up)
	subf	n, r10, n
	subf	n, r10, n
	subf	n, r10, n
	bdz	L(small_end)

	ALIGN(16)
L(los):	rlwinm	r0, r6, 0,8,31
	add	r9, r9, r0		C add 24b from u0
	srwi	r0, r6, 24
	lwz	r6, 4(up)
	rlwimi	r0, r7, 8, 0x00ffff00	C --111100
	add	r9, r9, r0		C add 8b from u0 and 16b from u1
	srwi	r0, r7, 16
	lwz	r7, 8(up)
	rlwimi	r0, r8, 16, 0x00ff0000	C --221111
	add	r9, r9, r0		C add 16b from u1 and 8b from u2
	srwi	r0, r8, 8		C --222222
	lwzu	r8, 12(up)
	add	r9, r9, r0		C add 24b from u2
	bdnz	L(los)
L(small_end):
	rlwinm	r0, r6, 0,8,31
	add	r9, r9, r0		C add 24b from u0
	srwi	r0, r6, 24
	rlwimi	r0, r7, 8, 0x00ffff00	C --111100
	add	r9, r9, r0		C add 8b from u0 and 16b from u1
	srwi	r0, r7, 16
	rlwimi	r0, r8, 16, 0x00ff0000	C --221111
	add	r9, r9, r0		C add 16b from u1 and 8b from u2
	srwi	r0, r8, 8		C --222222
	add	r9, r9, r0		C add 24b from u2

	addi	up, up, 4
	rlwinm	r0, r9, 0,8,31
	srwi	r9, r9, 24
	add	r9, r9, r0

L(small_tail):
	cmpi	cr0, n, 1
	blt	L(ret)

	lwz	r6, 0(up)
	rlwinm	r0, r6, 0,8,31
	srwi	r6, r6, 24
	add	r9, r9, r0
	add	r9, r9, r6

	beq	L(ret)

	lwz	r6, 4(up)
	rlwinm	r0, r6, 8,8,23
	srwi	r6, r6, 16
	add	r9, r9, r0
	add	r9, r9, r6

L(ret):	mr	r3, r9
	blr


L(large):
	mfspr	r10, 256
	oris	r0, r10, 0xffff		C Set VRSAVE bit 0-15
	mtspr	256, r0

	andi.	r7, up, 15
	vxor	a0, v0, v0
	lis	r0, 0xaaaa
	vxor	a1, v0, v0
	ori	r0, r0, 0xaaab
	vxor	a2, v0, v0
	li	r5, 16
	vxor	c0, v0, v0
	li	r6, 32
	vxor	c1, v0, v0
	LEAL(	r11, cnsts)
	vxor	c2, v0, v0
	vxor	z, v0, v0

	beq	L(aligned16)

	cmpwi	cr7, r7, 8
	bge	cr7, L(na4)

	lvx	a2, 0, up
	addi	up, up, 16
	vsldoi	a2, a2, z, 4
	vsldoi	a2, z, a2, 12

	addi	n, n, 9
	mulhwu	r0, n, r0
	srwi	r0, r0, 3		C r0 = floor(n/12)
	mtctr	r0

	mulli	r8, r0, 12
	subf	n, r8, n
	b	L(2)

L(na4):	bne	cr7, L(na8)

	lvx	a1, 0, up
	addi	up, up, -16
	vsldoi	a1, a1, z, 8
	vsldoi	a1, z, a1, 8

	addi	n, n, 6
	mulhwu	r0, n, r0
	srwi	r0, r0, 3		C r0 = floor(n/12)
	mtctr	r0

	mulli	r8, r0, 12
	subf	n, r8, n
	b	L(1)

L(na8):
	lvx	a0, 0, up
	vsldoi	a0, a0, z, 12
	vsldoi	a0, z, a0, 4

	addi	n, n, 3
	mulhwu	r0, n, r0
	srwi	r0, r0, 3		C r0 = floor(n/12)
	mtctr	r0

	mulli	r8, r0, 12
	subf	n, r8, n
	b	L(0)

L(aligned16):
	mulhwu	r0, n, r0
	srwi	r0, r0, 3		C r0 = floor(n/12)
	mtctr	r0

	mulli	r8, r0, 12
	subf	n, r8, n

	lvx	a0, 0, up
L(0):	lvx	a1, r5, up
L(1):	lvx	a2, r6, up
	addi	up, up, 48
L(2):	bdz	L(end)
	li	r12, 256
	li	r9, 288
	ALIGN(32)
L(top):
	lvx	v0, 0, up
	vaddcuw	v10, a0, v0
	vadduwm	a0, a0, v0
	vadduwm	c0, c0, v10

	lvx	v1, r5, up
	vaddcuw	v10, a1, v1
	vadduwm	a1, a1, v1
	vadduwm	c1, c1, v10

	lvx	v2, r6, up
	dcbt	up, r12
	dcbt	up, r9
	addi	up, up, 48
	vaddcuw	v10, a2, v2
	vadduwm	a2, a2, v2
	vadduwm	c2, c2, v10
	bdnz	L(top)

L(end):
C n = 0...11
	cmpwi	cr0, n, 0
	beq	L(sum)
	cmpwi	cr0, n, 4
	ble	L(tail.1..4)
	cmpwi	cr0, n, 8
	ble	L(tail.5..8)

L(tail.9..11):
	lvx	v0, 0, up
	vaddcuw	v10, a0, v0
	vadduwm	a0, a0, v0
	vadduwm	c0, c0, v10

	lvx	v1, r5, up
	vaddcuw	v10, a1, v1
	vadduwm	a1, a1, v1
	vadduwm	c1, c1, v10

	lvx	v2, r6, up

	addi	r8, r11, 96
	rlwinm	r3, n ,4,26,27
	lvx	v11, r3, r8
	vand	v2, v2, v11

	vaddcuw	v10, a2, v2
	vadduwm	a2, a2, v2
	vadduwm	c2, c2, v10
	b	L(sum)

L(tail.5..8):
	lvx	v0, 0, up
	vaddcuw	v10, a0, v0
	vadduwm	a0, a0, v0
	vadduwm	c0, c0, v10

	lvx	v1, r5, up

	addi	r8, r11, 96
	rlwinm	r3, n ,4,26,27
	lvx	v11, r3, r8
	vand	v1, v1, v11

	vaddcuw	v10, a1, v1
	vadduwm	a1, a1, v1
	vadduwm	c1, c1, v10
	b	L(sum)

L(tail.1..4):
	lvx	v0, 0, up

	addi	r8, r11, 96
	rlwinm	r3, n ,4,26,27
	lvx	v11, r3, r8
	vand	v0, v0, v11

	vaddcuw	v10, a0, v0
	vadduwm	a0, a0, v0
	vadduwm	c0, c0, v10

L(sum):	lvx	pv, 0, r11
	vperm	x0, a0, z, pv		C extract 4 24-bit field from a0
	vperm	y0, c2, z, pv
	lvx	pv, r5, r11
	vperm	x1, a1, z, pv		C extract 4 24-bit field from a1
	vperm	y1, c0, z, pv		C extract 4 24-bit field from a1
	lvx	pv, r6, r11
	vperm	x2, a2, z, pv		C extract 4 24-bit field from a1
	vperm	y2, c1, z, pv		C extract 4 24-bit field from a1
	li	r10,  48
	lvx	pv, r10, r11
	vperm	x3, a0, z, pv		C extract remaining/partial a0 fields
	vperm	y3, c2, z, pv		C extract remaining/partial a0 fields
	li	r10,  64
	lvx	pv, r10, r11
	vperm	x3, a1, x3, pv		C insert remaining/partial a1 fields
	vperm	y3, c0, y3, pv		C insert remaining/partial a1 fields
	li	r10,  80
	lvx	pv, r10, r11
	vperm	x3, a2, x3, pv		C insert remaining/partial a2 fields
	vperm	y3, c1, y3, pv		C insert remaining/partial a2 fields

C We now have 4 128-bit accumulators to sum
	vadduwm	x0, x0, x1
	vadduwm	x2, x2, x3
	vadduwm	x0, x0, x2

	vadduwm	y0, y0, y1
	vadduwm	y2, y2, y3
	vadduwm	y0, y0, y2

	vadduwm	x0, x0, y0

C Reduce 32-bit fields
	vsumsws	x0, x0, z

	li	r7, -16			C FIXME: does all ppc32 ABIs...
	stvx	x0, r7, r1		C FIXME: ...support storing below sp?
	lwz	r3, -4(r1)

	mtspr	256, r10
	blr
EPILOGUE()

C load	|      v0       |      v1       |      v2       |
C acc	|      a0       |      a1       |      a2       |
C carry	|      c0       |      c1       |      c2       |
C	| 0   1   2   3 | 4   5   6   7 | 8   9  10  11 |  128
C	|---|---|---|---|---|---|---|---|---|---|---|---|   32
C	|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |   24
C	|     |     |     |     |     |     |     |     |   48

C       $---------------$---------------$---------------$---------------$
C       |   .   .   .   .   .   .   .   .   .   .   .   .   .   .   .   |
C       |_______________________________________________________________|
C   |           |           |           |           |           |           |
C       <-hi16-> <--- 24 --> <--- 24 --> <--- 24 --> <--- 24 --> <-lo16->


DEF_OBJECT(cnsts,16)
C Permutation vectors in the order they are used above
C #      00   01   02   03    04   05   06   07    08   09   0a   0b    0c   0d   0e   0f
 .byte 0x10,0x01,0x02,0x03, 0x10,0x06,0x07,0x00, 0x10,0x0b,0x04,0x05, 0x10,0x08,0x09,0x0a C a0
 .byte 0x10,0x07,0x00,0x01, 0x10,0x04,0x05,0x06, 0x10,0x09,0x0a,0x0b, 0x10,0x0e,0x0f,0x08 C a1
 .byte 0x10,0x00,0x01,0x02, 0x10,0x05,0x06,0x07, 0x10,0x0a,0x0b,0x04, 0x10,0x0f,0x08,0x09 C a2
 .byte 0x10,0x0d,0x0e,0x0f, 0x10,0x10,0x10,0x0c, 0x10,0x10,0x10,0x10, 0x10,0x10,0x10,0x10 C part a0
 .byte 0x10,0x11,0x12,0x13, 0x10,0x02,0x03,0x17, 0x10,0x10,0x0c,0x0d, 0x10,0x10,0x10,0x10 C part a1
 .byte 0x10,0x11,0x12,0x13, 0x10,0x15,0x16,0x17, 0x10,0x03,0x1a,0x1b, 0x10,0x0c,0x0d,0x0e C part a2
C Masks for high end of number
 .byte 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff
 .byte 0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00
 .byte 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00
 .byte 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00
C Masks for low end of number
C .byte	0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff
C .byte	0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff
C .byte	0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff
C .byte	0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff
END_OBJECT(cnsts)
@


1.1.1.1
log
@initial import of GMP 5.0.2.

GNU MP is a library for arbitrary precision arithmetic, operating on signed
integers, rational numbers, and floating point numbers.  It has a rich set
of functions, and the functions have a regular interface.

GMP is necessary for GCC >= 4.2.
@
text
@@


1.1.1.1.8.1
log
@Rebase to HEAD as of a few days ago.
@
text
@d3 1
a3 2
dnl  Copyright 2002, 2003, 2005, 2006, 2007, 2012 Free Software Foundation,
dnl  Inc.
d138 1
a138 1
	lis	r9, 0xaaaa
d140 1
a140 1
	ori	r9, r9, 0xaaab
d146 1
a146 1
	LEAL(	r11, cnsts)		C CAUTION clobbers r0 for elf, darwin
d161 1
a161 1
	mulhwu	r0, n, r9
d177 1
a177 1
	mulhwu	r0, n, r9
d191 1
a191 1
	mulhwu	r0, n, r9
d200 1
a200 1
	mulhwu	r0, n, r9
@


1.1.1.1.2.1
log
@sync with head.

for a reference, the tree before this commit was tagged
as yamt-pagecache-tag8.

this commit was splitted into small chunks to avoid
a limitation of cvs.  ("Protocol error: too many arguments")
@
text
@d3 1
a3 2
dnl  Copyright 2002, 2003, 2005, 2006, 2007, 2012 Free Software Foundation,
dnl  Inc.
d138 1
a138 1
	lis	r9, 0xaaaa
d140 1
a140 1
	ori	r9, r9, 0xaaab
d146 1
a146 1
	LEAL(	r11, cnsts)		C CAUTION clobbers r0 for elf, darwin
d161 1
a161 1
	mulhwu	r0, n, r9
d177 1
a177 1
	mulhwu	r0, n, r9
d191 1
a191 1
	mulhwu	r0, n, r9
d200 1
a200 1
	mulhwu	r0, n, r9
@


1.1.1.2
log
@initial import GMP 5.1.3 sources.  changes include:

fixes for:
- mpn_sbpi1_div_qr_sec and mpn_sbpi1_div_r_sec
- mpz_powm_ui
- AMD family 11h
- mpz_powm_sec and mpn_powm_sec
- ASSERT() fixes
- gcd, gcdext, and invert function fixes
- some PPC division operations
@
text
@d3 1
a3 2
dnl  Copyright 2002, 2003, 2005, 2006, 2007, 2012 Free Software Foundation,
dnl  Inc.
d138 1
a138 1
	lis	r9, 0xaaaa
d140 1
a140 1
	ori	r9, r9, 0xaaab
d146 1
a146 1
	LEAL(	r11, cnsts)		C CAUTION clobbers r0 for elf, darwin
d161 1
a161 1
	mulhwu	r0, n, r9
d177 1
a177 1
	mulhwu	r0, n, r9
d191 1
a191 1
	mulhwu	r0, n, r9
d200 1
a200 1
	mulhwu	r0, n, r9
@


1.1.1.3
log
@initial import of GMP 6.1.2.  main changes from 5.1.3 below.

notes:
 - support for thumb-less ARM chips was in our port of 5.1.3, but a
   similar method has been provided upstream now
 - someone should look at the AVX failure reports, and fix them

Changes between GMP version 6.1.0 and 6.1.1

  FEATURES
  * Work around faulty cpuid on some recent Intel chips (this allows GMP to run
    on Skylake Pentiums).
  * Support thumb-less ARM chips.

Changes between GMP version 6.0.* and 6.1.0

  BUGS FIXED
  * The public function mpn_com is now correctly declared in gmp.h.
  * Healed possible failures of mpn_sec_sqr for non-cryptographic sizes for
    some obsolete CPUs.
  * Various problems related to precision for mpf have been fixed.
  * Fixed ABI incompatible stack alignment in calls from assembly code.
  * Fixed PIC bug in popcount affecting Intel processors using the 32-bit ABI.
  SPEEDUPS
  * Speedup for Intel Broadwell and Skylake through assembly code making use of
    new ADX instructions.
  * Square root is now faster when the remainder is not needed. Also the speed
    to compute the k-th root improved, for small sizes.
  FEATURES
  * New C++ functions gcd and lcm for mpz_class.
  * New public mpn functions mpn_divexact_1, mpn_zero_p, and mpn_cnd_swap.
  * New public mpq_cmp_z function, to efficiently compare rationals with
    integers.
  * Support for more 32-bit arm processors.
  * Support for AVX-less modern x86 CPUs. (Such support might be missing either
    because the CPU vendor chose to disable AVX, or because the running kernel
    lacks AVX context switch support.)
  * Support for NetBSD under Xen; we switch off AVX unconditionally under
    NetBSD since a bug in NetBSD makes AVX fail under Xen.
  MISC
  * Tuned values for FFT multiplications are provided for larger number on
    many platforms.

Changes between GMP version 5.1.* and 6.0.0
  BUGS FIXED
  * The function mpz_invert now considers any number invertible in Z/1Z.
  * The mpn multiply code now handles operands of more than 2^31 limbs
    correctly.  (Note however that the mpz code is limited to 2^32 bits on
    32-bit hosts and 2^37 bits on 64-bit hosts.)
  SPEEDUPS
  * Plain division of large operands is faster and more monotonous in operand
    size.
  * Major speedup for ARM, in particular ARM Cortex-A15, thanks to improved
    assembly.
  * Speedup for Intel Sandy Bridge, Ivy Bridge, Haswell, thanks to rewritten
    and vastly expanded assembly support.  Speedup also for the older Core 2
    and Nehalem.
  * Faster mixed arithmetic between mpq_class and double.
  FEATURES
  * Support for new Intel and AMD CPUs.
  * New public functions mpn_sec_mul and mpn_sec_sqr, implementing side-channel
    silent multiplication and squaring.
  * New public functions mpn_sec_div_qr and mpn_sec_div_r, implementing
    side-channel silent division.
  * New public functions mpn_cnd_add_n and mpn_cnd_sub_n.  Side-channel silent
    conditional addition and subtraction.
  * New public function mpn_sec_powm, implementing side-channel silent modexp.
  * New public function mpn_sec_invert, implementing side-channel silent
    modular inversion.
  * Better support for applications which use the mpz_t type, but nevertheless
    need to call some of the lower-level mpn functions.  See the documentation
    for mpz_limbs_read and related functions.
@
text
@d3 2
a4 1
dnl  Copyright 2002, 2003, 2005-2007, 2012 Free Software Foundation, Inc.
d7 1
a7 1
dnl
d9 4
a12 14
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
d15 5
a19 6
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/.
a132 1
	stwu	r1, -32(r1)
d334 3
a336 3
	li	r7, 16
	stvx	x0, r7, r1
	lwz	r3, 28(r1)
a338 1
	addi	r1, r1, 32
@


