head	1.1;
branch	1.1.1;
access;
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	gmp:1.1.1;
locks; strict;
comment	@;; @;


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desc
@@


1.1
log
@Initial revision
@
text
@dnl  AMD64 mpn_invert_limb -- Invert a normalized limb.

dnl  Contributed to the GNU project by Torbjorn Granlund and Niels Möller.

dnl  Copyright 2004, 2007, 2008, 2009 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 (approx)	div
C K8,K9:	 48			 71
C K10:		 48			 77
C P4:	        135			161
C P6 core2:	 69			116
C P6 corei7:	 55			 89
C P6 atom:	129			191

C rax rcx rdx rdi rsi r8


ASM_START()
	TEXT
	ALIGN(16)
PROLOGUE(mpn_invert_limb)		C			Kn	C2	Ci
	mov	%rdi, %rax		C			 0	 0	 0
	shr	$55, %rax		C			 1	 1	 1
ifdef(`PIC',`
ifdef(`DARWIN',`
	mov	approx_tab@@GOTPCREL(%rip), %r8
	add	$-512, %r8
',`
	lea	-512+approx_tab(%rip), %r8
')',`
	movabs	$-512+approx_tab, %r8
')
	movzwl	(%r8,%rax,2), R32(%rcx)	C	%rcx = v0

	C v1 = (v0 << 11) - (v0*v0*d40 >> 40) - 1
	mov	%rdi, %rsi		C			 0	 0	 0
	mov	R32(%rcx), R32(%rax)	C			 4	 5	 5
	imul	R32(%rcx), R32(%rcx)	C			 4	 5	 5
	shr	$24, %rsi		C			 1	 1	 1
	inc	%rsi			C	%rsi = d40
	imul	%rsi, %rcx		C			 8	10	 8
	shr	$40, %rcx		C			12	15	11
	sal	$11, R32(%rax)		C			 5	 6	 6
	dec	R32(%rax)
	sub	R32(%rcx), R32(%rax)	C	%rax = v1

	C v2 = (v1 << 13) + (v1 * (2^60 - v1*d40) >> 47
	mov	$0x1000000000000000, %rcx
	imul	%rax, %rsi		C			14	17	13
	sub	%rsi, %rcx
	imul	%rax, %rcx
	sal	$13, %rax
	shr	$47, %rcx
	add	%rax, %rcx		C	%rcx = v2

	C v3 = (v2 << 31) + (v2 * (2^96 - v2 * d63 + (v2>>1) & mask) >> 65
	mov	%rdi, %rsi		C			 0	 0	 0
	shr	$1, %rsi		C d/2
	sbb	%rax, %rax		C -d0 = -(d mod 2)
	sub	%rax, %rsi		C d63 = ceil(d/2)
	imul	%rcx, %rsi		C v2 * d63
	and	%rcx, %rax		C v2 * d0
	shr	$1, %rax		C (v2>>1) * d0
	sub	%rsi, %rax		C (v2>>1) * d0 - v2 * d63
	mul	%rcx
	sal	$31, %rcx
	shr	$1, %rdx
	add	%rdx, %rcx		C	%rcx = v3

	mov	%rdi, %rax
	mul	%rcx
	add	%rdi, %rax
	mov	%rcx, %rax
	adc	%rdi, %rdx
	sub	%rdx, %rax

	ret
EPILOGUE()

	RODATA
	ALIGN(2)
approx_tab:
	.value	0x7fd,0x7f5,0x7ed,0x7e5,0x7dd,0x7d5,0x7ce,0x7c6
	.value	0x7bf,0x7b7,0x7b0,0x7a8,0x7a1,0x79a,0x792,0x78b
	.value	0x784,0x77d,0x776,0x76f,0x768,0x761,0x75b,0x754
	.value	0x74d,0x747,0x740,0x739,0x733,0x72c,0x726,0x720
	.value	0x719,0x713,0x70d,0x707,0x700,0x6fa,0x6f4,0x6ee
	.value	0x6e8,0x6e2,0x6dc,0x6d6,0x6d1,0x6cb,0x6c5,0x6bf
	.value	0x6ba,0x6b4,0x6ae,0x6a9,0x6a3,0x69e,0x698,0x693
	.value	0x68d,0x688,0x683,0x67d,0x678,0x673,0x66e,0x669
	.value	0x664,0x65e,0x659,0x654,0x64f,0x64a,0x645,0x640
	.value	0x63c,0x637,0x632,0x62d,0x628,0x624,0x61f,0x61a
	.value	0x616,0x611,0x60c,0x608,0x603,0x5ff,0x5fa,0x5f6
	.value	0x5f1,0x5ed,0x5e9,0x5e4,0x5e0,0x5dc,0x5d7,0x5d3
	.value	0x5cf,0x5cb,0x5c6,0x5c2,0x5be,0x5ba,0x5b6,0x5b2
	.value	0x5ae,0x5aa,0x5a6,0x5a2,0x59e,0x59a,0x596,0x592
	.value	0x58e,0x58a,0x586,0x583,0x57f,0x57b,0x577,0x574
	.value	0x570,0x56c,0x568,0x565,0x561,0x55e,0x55a,0x556
	.value	0x553,0x54f,0x54c,0x548,0x545,0x541,0x53e,0x53a
	.value	0x537,0x534,0x530,0x52d,0x52a,0x526,0x523,0x520
	.value	0x51c,0x519,0x516,0x513,0x50f,0x50c,0x509,0x506
	.value	0x503,0x500,0x4fc,0x4f9,0x4f6,0x4f3,0x4f0,0x4ed
	.value	0x4ea,0x4e7,0x4e4,0x4e1,0x4de,0x4db,0x4d8,0x4d5
	.value	0x4d2,0x4cf,0x4cc,0x4ca,0x4c7,0x4c4,0x4c1,0x4be
	.value	0x4bb,0x4b9,0x4b6,0x4b3,0x4b0,0x4ad,0x4ab,0x4a8
	.value	0x4a5,0x4a3,0x4a0,0x49d,0x49b,0x498,0x495,0x493
	.value	0x490,0x48d,0x48b,0x488,0x486,0x483,0x481,0x47e
	.value	0x47c,0x479,0x477,0x474,0x472,0x46f,0x46d,0x46a
	.value	0x468,0x465,0x463,0x461,0x45e,0x45c,0x459,0x457
	.value	0x455,0x452,0x450,0x44e,0x44b,0x449,0x447,0x444
	.value	0x442,0x440,0x43e,0x43b,0x439,0x437,0x435,0x432
	.value	0x430,0x42e,0x42c,0x42a,0x428,0x425,0x423,0x421
	.value	0x41f,0x41d,0x41b,0x419,0x417,0x414,0x412,0x410
	.value	0x40e,0x40c,0x40a,0x408,0x406,0x404,0x402,0x400
ASM_END()
@


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
@d5 1
a5 2
dnl  Copyright 2004, 2007, 2008, 2009, 2011, 2012 Free Software Foundation,
dnl  Inc.
d26 6
a31 7
C AMD K8,K9	 48			 71
C AMD K10	 48			 77
C Intel P4	135			161
C Intel core2	 69			116
C Intel corei	 55			 89
C Intel atom	129			191
C VIA nano	 79			157
a34 4
ABI_SUPPORT(DOS64)
ABI_SUPPORT(STD64)

PROTECT(`mpn_invert_limb_table')
a39 1
	FUNC_ENTRY(1)
d44 1
a44 1
	mov	mpn_invert_limb_table@@GOTPCREL(%rip), %r8
d47 1
a47 1
	lea	-512+mpn_invert_limb_table(%rip), %r8
d49 1
a49 1
	movabs	$-512+mpn_invert_limb_table, %r8
d65 1
a65 1
	C v2 = (v1 << 13) + (v1 * (2^60 - v1*d40) >> 47)
d74 1
a74 1
	C v3 = (v2 << 31) + (v2 * (2^96 - v2 * d63 + ((v2 >> 1) & mask)) >> 65
d76 1
a76 1
	shr	%rsi			C d/2
d81 1
a81 1
	shr	%rax			C (v2>>1) * d0
d85 1
a85 1
	shr	%rdx
a94 1
	FUNC_EXIT()
d97 36
@


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
@d5 1
a5 2
dnl  Copyright 2004, 2007, 2008, 2009, 2011, 2012 Free Software Foundation,
dnl  Inc.
d26 6
a31 7
C AMD K8,K9	 48			 71
C AMD K10	 48			 77
C Intel P4	135			161
C Intel core2	 69			116
C Intel corei	 55			 89
C Intel atom	129			191
C VIA nano	 79			157
a34 4
ABI_SUPPORT(DOS64)
ABI_SUPPORT(STD64)

PROTECT(`mpn_invert_limb_table')
a39 1
	FUNC_ENTRY(1)
d44 1
a44 1
	mov	mpn_invert_limb_table@@GOTPCREL(%rip), %r8
d47 1
a47 1
	lea	-512+mpn_invert_limb_table(%rip), %r8
d49 1
a49 1
	movabs	$-512+mpn_invert_limb_table, %r8
d65 1
a65 1
	C v2 = (v1 << 13) + (v1 * (2^60 - v1*d40) >> 47)
d74 1
a74 1
	C v3 = (v2 << 31) + (v2 * (2^96 - v2 * d63 + ((v2 >> 1) & mask)) >> 65
d76 1
a76 1
	shr	%rsi			C d/2
d81 1
a81 1
	shr	%rax			C (v2>>1) * d0
d85 1
a85 1
	shr	%rdx
a94 1
	FUNC_EXIT()
d97 36
@


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
@d5 1
a5 2
dnl  Copyright 2004, 2007, 2008, 2009, 2011, 2012 Free Software Foundation,
dnl  Inc.
d26 6
a31 7
C AMD K8,K9	 48			 71
C AMD K10	 48			 77
C Intel P4	135			161
C Intel core2	 69			116
C Intel corei	 55			 89
C Intel atom	129			191
C VIA nano	 79			157
a34 4
ABI_SUPPORT(DOS64)
ABI_SUPPORT(STD64)

PROTECT(`mpn_invert_limb_table')
a39 1
	FUNC_ENTRY(1)
d44 1
a44 1
	mov	mpn_invert_limb_table@@GOTPCREL(%rip), %r8
d47 1
a47 1
	lea	-512+mpn_invert_limb_table(%rip), %r8
d49 1
a49 1
	movabs	$-512+mpn_invert_limb_table, %r8
d65 1
a65 1
	C v2 = (v1 << 13) + (v1 * (2^60 - v1*d40) >> 47)
d74 1
a74 1
	C v3 = (v2 << 31) + (v2 * (2^96 - v2 * d63 + ((v2 >> 1) & mask)) >> 65
d76 1
a76 1
	shr	%rsi			C d/2
d81 1
a81 1
	shr	%rax			C (v2>>1) * d0
d85 1
a85 1
	shr	%rdx
a94 1
	FUNC_EXIT()
d97 36
@


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 1
a3 1
dnl  Contributed to the GNU project by Torbjorn Granlund and Niels Möller.
d5 2
a6 1
dnl  Copyright 2004, 2007-2009, 2011, 2012 Free Software Foundation, Inc.
d9 1
a9 1
dnl
d11 4
a14 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
d17 5
a21 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/.
@


1.1.1.4
log
@initial import of GMP 6.2.0.  changes include:

- Bug fixes to gmp_snprintf, conversion to double, mpz_powm,
  and mpf_set_str.
- New functions for factorial, primorial, fibonacci, mpz_2fac_ui,
  and mpz_mfac_uiui.
- MIPS r6 cores are now supported.
- Various speeds ups.
@
text
@d59 1
d61 1
a61 1
	lea	mpn_invert_limb_table(%rip), %r8
d65 2
d91 1
a91 1
	C v3 = (v2 << 31) + (v2 * (2^96 - v2 * d63 + ((v2 >> 1) & mask)) >> 65)
@