/// MA 02111-1307, USA.
///--------------------------------------------------------------------------
-/// External definitions.
+/// Preliminaries.
#include "config.h"
#include "asm-common.h"
-///--------------------------------------------------------------------------
-/// Prologue.
-
.arch pentium4
+
.text
///--------------------------------------------------------------------------
/// 0 v'_0 v'_1 v''_0 v''_1
/// 16 v'_2 v'_3 v''_2 v''_3
///
-/// A `pmuludqd' instruction ignores the odd positions in its operands; thus,
+/// A `pmuludq' instruction ignores the odd positions in its operands; thus,
/// it will act on (say) v'_0 and v''_0 in a single instruction. Shifting
/// this vector right by 4 bytes brings v'_1 and v''_1 into position. We can
/// multiply such a vector by a full 32-bit scalar to produce two 48-bit
/// the register c0, for example, holds c'_0 (low half) and c''_0 (high
/// half), and represents the value c_0 = c'_0 + c''_0 b; the carry registers
/// collectively represent the value c_0 + c_1 B + c_2 B^2 + c_3 B^3. The
-/// `pmuluqdq' instruction acting on a scalar operand (broadcast across all
+/// `pmuluqd' instruction acting on a scalar operand (broadcast across all
/// lanes of its vector) and an operand in the expanded form above produces a
/// result which can be added directly to the appropriate carry register.
/// Following a pass of four multiplications, we perform some limited carry
///--------------------------------------------------------------------------
/// Macro definitions.
-.macro mulcore r, s, d0, d1, d2, d3
+.macro mulcore r, s, d0, d1=nil, d2=nil, d3=nil
// Load a word r_i from R, multiply by the expanded operand [S], and
// leave the pieces of the product in registers D0, D1, D2, D3.
- movd \d0, \r // (r_i, 0, 0, 0)
+ movd \d0, \r // (r_i, 0; 0, 0)
.ifnes "\d1", "nil"
- movdqa \d1, [\s] // (s'_0, s'_1, s''_0, s''_1)
+ movdqa \d1, [\s] // (s'_0, s'_1; s''_0, s''_1)
.endif
.ifnes "\d3", "nil"
- movdqa \d3, [\s + 16] // (s'_2, s'_3, s''_2, s''_3)
+ movdqa \d3, [\s + 16] // (s'_2, s'_3; s''_2, s''_3)
.endif
- pshufd \d0, \d0, SHUF(3, 0, 3, 0) // (r_i, ?, r_i, ?)
+ pshufd \d0, \d0, SHUF(0, 3, 0, 3) // (r_i, ?; r_i, ?)
.ifnes "\d1", "nil"
- psrldq \d1, 4 // (s'_1, s''_0, s''_1, 0)
+ psrldq \d1, 4 // (s'_1, s''_0; s''_1, 0)
.endif
.ifnes "\d2", "nil"
.ifnes "\d3", "nil"
- movdqa \d2, \d3 // another copy of (s'_2, s'_3, ...)
+ movdqa \d2, \d3 // another copy of (s'_2, s'_3; ...)
.else
- movdqa \d2, \d0 // another copy of (r_i, ?, r_i, ?)
+ movdqa \d2, \d0 // another copy of (r_i, ?; r_i, ?)
.endif
.endif
.ifnes "\d3", "nil"
- psrldq \d3, 4 // (s'_3, s''_2, s''_3, 0)
+ psrldq \d3, 4 // (s'_3, s''_2; s''_3, 0)
.endif
.ifnes "\d1", "nil"
- pmuludqd \d1, \d0 // (r_i s'_1, r_i s''_1)
+ pmuludq \d1, \d0 // (r_i s'_1; r_i s''_1)
.endif
.ifnes "\d3", "nil"
- pmuludqd \d3, \d0 // (r_i s'_3, r_i s''_3)
+ pmuludq \d3, \d0 // (r_i s'_3; r_i s''_3)
.endif
.ifnes "\d2", "nil"
.ifnes "\d3", "nil"
- pmuludqd \d2, \d0 // (r_i s'_2, r_i s''_2)
+ pmuludq \d2, \d0 // (r_i s'_2; r_i s''_2)
.else
- pmuludqd \d2, [\s + 16]
+ pmuludq \d2, [\s + 16]
.endif
.endif
- pmuludqd \d0, [\s] // (r_i s'_0, r_i s''_0)
+ pmuludq \d0, [\s] // (r_i s'_0; r_i s''_0)
.endm
-.macro accum c0, c1, c2, c3
+.macro accum c0, c1=nil, c2=nil, c3=nil
+ // Accumulate 64-bit pieces in XMM0--XMM3 into the corresponding
+ // carry registers C0--C3. Any or all of C1--C3 may be `nil' to skip
+ // updating that register.
paddq \c0, xmm0
.ifnes "\c1", "nil"
paddq \c1, xmm1
.endif
.endm
-.macro mulacc r, s, c0, c1, c2, c3, z3p
+.macro mulacc r, s, c0, c1, c2, c3, z3p=nil
// Load a word r_i from R, multiply by the expanded operand [S],
// and accumulate in carry registers C0, C1, C2, C3. If Z3P is `t'
// then C3 notionally contains zero, but needs clearing; in practice,
// is not `t'.
.ifeqs "\z3p", "t"
mulcore \r, \s, xmm0, xmm1, xmm2, \c3
- accum \c0, \c1, \c2, nil
+ accum \c0, \c1, \c2
.else
mulcore \r, \s, xmm0, xmm1, xmm2, xmm3
accum \c0, \c1, \c2, \c3
.endif
.endm
-.macro propout d, c, cc
+.macro propout d, c, cc=nil
// Calculate an output word from C, and store it in D; propagate
// carries out from C to CC in preparation for a rotation of the
// carry registers. On completion, XMM3 is clobbered. If CC is
// `nil', then the contribution which would have been added to it is
// left in C.
- pshufd xmm3, \c, SHUF(2, 3, 3, 3) // (?, ?, ?, t = c'' mod B)
- psrldq xmm3, 12 // (t, 0, 0, 0) = (t, 0)
- pslldq xmm3, 2 // (t b, 0)
- paddq \c, xmm3 // (c' + t b, c'')
+ pshufd xmm3, \c, SHUF(3, 3, 3, 2) // (?, ?; ?, t = c'' mod B)
+ psrldq xmm3, 12 // (t, 0; 0, 0) = (t, 0)
+ pslldq xmm3, 2 // (t b; 0)
+ paddq \c, xmm3 // (c' + t b; c'')
movd \d, \c
psrlq \c, 32 // floor(c/B)
.ifnes "\cc", "nil"
// of the value represented in C are written to D, and the remaining
// bits are left at the bottom of T.
movdqa \t, \c
- psllq \t, 16 // (?, c'' b)
- pslldq \c, 8 // (0, c')
- paddq \t, \c // (?, c' + c'' b)
- psrldq \t, 8 // c' + c'' b
+ psllq \t, 16 // (?; c'' b)
+ pslldq \c, 8 // (0; c')
+ paddq \t, \c // (?; c' + c'' b)
+ psrldq \t, 8 // (c' + c'' b; 0) = (c; 0)
movd \d, \t
- psrldq \t, 4 // floor((c' + c'' b)/B)
+ psrldq \t, 4 // (floor(c/B); 0)
.endm
-.macro expand a, b, c, d, z
+.macro expand z, a, b, c=nil, d=nil
// On entry, A and C hold packed 128-bit values, and Z is zero. On
// exit, A:B and C:D together hold the same values in expanded
// form. If C is `nil', then only expand A to A:B.
- movdqa \b, \a // (a_0, a_1, a_2, a_3)
+ movdqa \b, \a // (a_0, a_1; a_2, a_3)
.ifnes "\c", "nil"
- movdqa \d, \c // (c_0, c_1, c_2, c_3)
+ movdqa \d, \c // (c_0, c_1; c_2, c_3)
.endif
- punpcklwd \a, \z // (a'_0, a''_0, a'_1, a''_1)
- punpckhwd \b, \z // (a'_2, a''_2, a'_3, a''_3)
+ punpcklwd \a, \z // (a'_0, a''_0; a'_1, a''_1)
+ punpckhwd \b, \z // (a'_2, a''_2; a'_3, a''_3)
.ifnes "\c", "nil"
- punpcklwd \c, \z // (c'_0, c''_0, c'_1, c''_1)
- punpckhwd \d, \z // (c'_2, c''_2, c'_3, c''_3)
+ punpcklwd \c, \z // (c'_0, c''_0; c'_1, c''_1)
+ punpckhwd \d, \z // (c'_2, c''_2; c'_3, c''_3)
.endif
- pshufd \a, \a, SHUF(3, 1, 2, 0) // (a'_0, a'_1, a''_0, a''_1)
- pshufd \b, \b, SHUF(3, 1, 2, 0) // (a'_2, a'_3, a''_2, a''_3)
+ pshufd \a, \a, SHUF(0, 2, 1, 3) // (a'_0, a'_1; a''_0, a''_1)
+ pshufd \b, \b, SHUF(0, 2, 1, 3) // (a'_2, a'_3; a''_2, a''_3)
.ifnes "\c", "nil"
- pshufd \c, \c, SHUF(3, 1, 2, 0) // (c'_0, c'_1, c''_0, c''_1)
- pshufd \d, \d, SHUF(3, 1, 2, 0) // (c'_2, c'_3, c''_2, c''_3)
+ pshufd \c, \c, SHUF(0, 2, 1, 3) // (c'_0, c'_1; c''_0, c''_1)
+ pshufd \d, \d, SHUF(0, 2, 1, 3) // (c'_2, c'_3; c''_2, c''_3)
.endif
.endm
-.macro squash c0, c1, c2, c3, h, t, u
+.macro squash c0, c1, c2, c3, t, u, lo, hi=nil
// On entry, C0, C1, C2, C3 are carry registers representing a value
- // Y. On exit, C0 holds the low 128 bits of the carry value; C1, C2,
+ // Y. On exit, LO holds the low 128 bits of the carry value; C1, C2,
// C3, T, and U are clobbered; and the high bits of Y are stored in
- // H, if this is not `nil'.
+ // HI, if this is not `nil'.
// The first step is to eliminate the `double-prime' pieces -- i.e.,
// the ones offset by 16 bytes from a 32-bit boundary -- by carrying
// we can do that, we must gather them together.
movdqa \t, \c0
movdqa \u, \c1
- punpcklqdq \t, \c2 // (y'_0, y'_2)
- punpckhqdq \c0, \c2 // (y''_0, y''_2)
- punpcklqdq \u, \c3 // (y'_1, y'_3)
- punpckhqdq \c1, \c3 // (y''_1, y''_3)
+ punpcklqdq \t, \c2 // (y'_0; y'_2)
+ punpckhqdq \c0, \c2 // (y''_0; y''_2)
+ punpcklqdq \u, \c3 // (y'_1; y'_3)
+ punpckhqdq \c1, \c3 // (y''_1; y''_3)
// Now split the double-prime pieces. The high (up to) 48 bits will
// go up; the low 16 bits go down.
movdqa \c3, \c1
psllq \c2, 48
psllq \c3, 48
- psrlq \c0, 16 // high parts of (y''_0, y''_2)
- psrlq \c1, 16 // high parts of (y''_1, y''_3)
- psrlq \c2, 32 // low parts of (y''_0, y''_2)
- psrlq \c3, 32 // low parts of (y''_1, y''_3)
- .ifnes "\h", "nil"
- movdqa \h, \c1
+ psrlq \c0, 16 // high parts of (y''_0; y''_2)
+ psrlq \c1, 16 // high parts of (y''_1; y''_3)
+ psrlq \c2, 32 // low parts of (y''_0; y''_2)
+ psrlq \c3, 32 // low parts of (y''_1; y''_3)
+ .ifnes "\hi", "nil"
+ movdqa \hi, \c1
.endif
- pslldq \c1, 8 // high part of (0, y''_1)
+ pslldq \c1, 8 // high part of (0; y''_1)
paddq \t, \c2 // propagate down
paddq \u, \c3
- paddq \t, \c1 // and up: (y_0, y_2)
- paddq \u, \c0 // (y_1, y_3)
- .ifnes "\h", "nil"
- psrldq \h, 8 // high part of (y''_3, 0)
+ paddq \t, \c1 // and up: (y_0; y_2)
+ paddq \u, \c0 // (y_1; y_3)
+ .ifnes "\hi", "nil"
+ psrldq \hi, 8 // high part of (y''_3; 0)
.endif
// Finally extract the answer. This complicated dance is better than
// storing to memory and loading, because the piecemeal stores
// inhibit store forwarding.
- movdqa \c3, \t // (y_0, y_1)
- movdqa \c0, \t // (y^*_0, ?, ?, ?)
- psrldq \t, 8 // (y_2, 0)
- psrlq \c3, 32 // (floor(y_0/B), ?)
- paddq \c3, \u // (y_1 + floor(y_0/B), ?)
- pslldq \c0, 12 // (0, 0, 0, y^*_0)
- movdqa \c1, \c3 // (y^*_1, ?, ?, ?)
- psrldq \u, 8 // (y_3, 0)
- psrlq \c3, 32 // (floor((y_1 B + y_0)/B^2, ?)
- paddq \c3, \t // (y_2 + floor((y_1 B + y_0)/B^2, ?)
- pslldq \c1, 12 // (0, 0, 0, y^*_1)
- psrldq \c0, 12 // (y^*_0, 0, 0, 0)
- movdqa \c2, \c3 // (y^*_2, ?, ?, ?)
- psrlq \c3, 32 // (floor((y_2 B^2 + y_1 B + y_0)/B^3, ?)
- paddq \c3, \u // (y_3 + floor((y_2 B^2 + y_1 B + y_0)/B^3, ?)
- pslldq \c2, 12 // (0, 0, 0, y^*_2)
- psrldq \c1, 8 // (0, y^*_1, 0, 0)
- psrldq \c2, 4 // (0, 0, y^*_2, 0)
- .ifnes "\h", "nil"
- movdqu \t, \c3
+ movdqa \c3, \t // (y_0; ?)
+ movdqa \lo, \t // (y^*_0, ?; ?, ?)
+ psrldq \t, 8 // (y_2; 0)
+ psrlq \c3, 32 // (floor(y_0/B); ?)
+ paddq \c3, \u // (y_1 + floor(y_0/B); ?)
+ movdqa \c1, \c3 // (y^*_1, ?; ?, ?)
+ psrldq \u, 8 // (y_3; 0)
+ psrlq \c3, 32 // (floor((y_1 B + y_0)/B^2; ?)
+ paddq \c3, \t // (y_2 + floor((y_1 B + y_0)/B^2; ?)
+ punpckldq \lo, \c3 // (y^*_0, y^*_2; ?, ?)
+ psrlq \c3, 32 // (floor((y_2 B^2 + y_1 B + y_0)/B^3; ?)
+ paddq \c3, \u // (y_3 + floor((y_2 B^2 + y_1 B + y_0)/B^3; ?)
+ .ifnes "\hi", "nil"
+ movdqa \t, \c3
pxor \u, \u
.endif
- pslldq \c3, 12 // (0, 0, 0, y^*_3)
- por \c0, \c1 // (y^*_0, y^*_1, 0, 0)
- por \c2, \c3 // (0, 0, y^*_2, y^*_3)
- por \c0, \c2 // y mod B^4
- .ifnes "\h", "nil"
+ punpckldq \c1, \c3 // (y^*_1, y^*_3; ?, ?)
+ .ifnes "\hi", "nil"
psrlq \t, 32 // very high bits of y
- paddq \h, \t
- punpcklqdq \h, \u // carry up
+ paddq \hi, \t
+ punpcklqdq \hi, \u // carry up
.endif
+ punpckldq \lo, \c1 // y mod B^4
.endm
.macro carryadd
// On exit, the carry registers, including XMM7, are updated to hold
// C + A; XMM0, XMM1, XMM2, and XMM3 are clobbered. The other
// registers are preserved.
- movd xmm0, [edi + 0] // (a_0, 0)
- movd xmm1, [edi + 4] // (a_1, 0)
- movd xmm2, [edi + 8] // (a_2, 0)
- movd xmm7, [edi + 12] // (a_3, 0)
- paddq xmm4, xmm0 // (c'_0 + a_0, c''_0)
- paddq xmm5, xmm1 // (c'_1 + a_1, c''_1)
- paddq xmm6, xmm2 // (c'_2 + a_2, c''_2 + a_3 b)
+ movd xmm0, [edi + 0] // (a_0; 0)
+ movd xmm1, [edi + 4] // (a_1; 0)
+ movd xmm2, [edi + 8] // (a_2; 0)
+ movd xmm7, [edi + 12] // (a_3; 0)
+
+ paddq xmm4, xmm0 // (c'_0 + a_0; c''_0)
+ paddq xmm5, xmm1 // (c'_1 + a_1; c''_1)
+ paddq xmm6, xmm2 // (c'_2 + a_2; c''_2 + a_3 b)
.endm
///--------------------------------------------------------------------------
endprologue
mulacc [eax + 0], ecx, xmm4, xmm5, xmm6, xmm7, t
- mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil
+ mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7
propout [edi + 0], xmm4, xmm5
mulacc [eax + 4], ecx, xmm5, xmm6, xmm7, xmm4, t
- mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, nil
+ mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4
propout [edi + 4], xmm5, xmm6
mulacc [eax + 8], ecx, xmm6, xmm7, xmm4, xmm5, t
- mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5, nil
+ mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5
propout [edi + 8], xmm6, xmm7
mulacc [eax + 12], ecx, xmm7, xmm4, xmm5, xmm6, t
- mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6, nil
+ mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6
propout [edi + 12], xmm7, xmm4
ret
carryadd
- mulacc [eax + 0], ecx, xmm4, xmm5, xmm6, xmm7, nil
- mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil
+ mulacc [eax + 0], ecx, xmm4, xmm5, xmm6, xmm7
+ mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7
propout [edi + 0], xmm4, xmm5
mulacc [eax + 4], ecx, xmm5, xmm6, xmm7, xmm4, t
- mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, nil
+ mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4
propout [edi + 4], xmm5, xmm6
mulacc [eax + 8], ecx, xmm6, xmm7, xmm4, xmm5, t
- mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5, nil
+ mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5
propout [edi + 8], xmm6, xmm7
mulacc [eax + 12], ecx, xmm7, xmm4, xmm5, xmm6, t
- mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6, nil
+ mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6
propout [edi + 12], xmm7, xmm4
ret
movd xmm6, [edi + 8]
movd xmm7, [edi + 12]
- mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil
+ mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7
propout [edi + 0], xmm4, xmm5
mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, t
carryadd
- mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil
+ mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7
propout [edi + 0], xmm4, xmm5
mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, t
// to the packed operands U and N; ECX and ESI point to the expanded
// operands V and M; and EDX points to a place to store an expanded
// result Y (32 bytes, at a 16-byte boundary). The stack pointer
- // must be 16-byte aligned. (This is not the usual convention, which
- // requires alignment before the call.)
+ // must be 12 modulo 16, as is usual for modern x86 ABIs.
//
// On exit, we write Y = U V M mod B to [EDX], and the low 128 bits
// of the sum U V + N Y to [EDI], leaving the remaining carry in
// XMM4, XMM5, and XMM6. The registers XMM0, XMM1, XMM2, XMM3, and
// XMM7 are clobbered; the general-purpose registers are preserved.
- stalloc 48 // space for the carries
+ stalloc 48 + 12 // space for the carries
endprologue
// Calculate W = U V, and leave it in the destination. Stash the
INTFUNC(mmla4)
// On entry, EDI points to the destination buffer, which also
- // contains an addend A to accumulate; EAX and EBX point
- // to the packed operands U and N; ECX and ESI point to the expanded
+ // contains an addend A to accumulate; EAX and EBX point to the
+ // packed operands U and N; ECX and ESI point to the expanded
// operands V and M; and EDX points to a place to store an expanded
// result Y (32 bytes, at a 16-byte boundary). The stack pointer
- // must be 16-byte aligned. (This is not the usual convention, which
- // requires alignment before the call.)
+ // must be 12 modulo 16, as is usual for modern x86 ABIs.
//
// On exit, we write Y = (A + U V) M mod B to [EDX], and the low 128
// bits of the sum A + U V + N Y to [EDI], leaving the remaining
// carry in XMM4, XMM5, and XMM6. The registers XMM0, XMM1, XMM2,
// XMM3, and XMM7 are clobbered; the general-purpose registers are
// preserved.
- stalloc 48 // space for the carries
+ stalloc 48 + 12 // space for the carries
endprologue
movd xmm4, [edi + 0]
movd xmm5, [edi + 4]
movd xmm6, [edi + 8]
movd xmm7, [edi + 12]
- mulacc [eax + 0], ecx, xmm4, xmm5, xmm6, xmm7, nil
+
+ // Calculate W = U V, and leave it in the destination. Stash the
+ // carry pieces for later.
+ mulacc [eax + 0], ecx, xmm4, xmm5, xmm6, xmm7
propout [edi + 0], xmm4, xmm5
5: mulacc [eax + 4], ecx, xmm5, xmm6, xmm7, xmm4, t
// Calculate Y = W M.
mulcore [edi + 0], esi, xmm4, xmm5, xmm6, xmm7
- mulcore [edi + 4], esi, xmm0, xmm1, xmm2, nil
- accum xmm5, xmm6, xmm7, nil
+ mulcore [edi + 4], esi, xmm0, xmm1, xmm2
+ accum xmm5, xmm6, xmm7
- mulcore [edi + 8], esi, xmm0, xmm1, nil, nil
- accum xmm6, xmm7, nil, nil
+ mulcore [edi + 8], esi, xmm0, xmm1
+ accum xmm6, xmm7
- mulcore [edi + 12], esi, xmm0, nil, nil, nil
- accum xmm7, nil, nil, nil
+ mulcore [edi + 12], esi, xmm0
+ accum xmm7
// That's lots of pieces. Now we have to assemble the answer.
- squash xmm4, xmm5, xmm6, xmm7, nil, xmm0, xmm1
+ squash xmm4, xmm5, xmm6, xmm7, xmm0, xmm1, xmm4
// Expand it.
pxor xmm2, xmm2
- expand xmm4, xmm1, nil, nil, xmm2
+ expand xmm2, xmm4, xmm1
movdqa [edx + 0], xmm4
movdqa [edx + 16], xmm1
movd xmm7, [edi + 12]
// Finish the calculation by adding the Montgomery product.
- mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil
+ mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7
propout [edi + 0], xmm4, xmm5
mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, t
paddq xmm6, [esp + 32]
// And, with that, we're done.
- stfree 48
+ stfree 48 + 12
ret
ENDFUNC
INTFUNC(mont4)
// On entry, EDI points to the destination buffer holding a packed
- // value A; EBX points to a packed operand N; ESI points to an
+ // value W; EBX points to a packed operand N; ESI points to an
// expanded operand M; and EDX points to a place to store an expanded
// result Y (32 bytes, at a 16-byte boundary).
//
// Calculate Y = W M.
mulcore [edi + 0], esi, xmm4, xmm5, xmm6, xmm7
- mulcore [edi + 4], esi, xmm0, xmm1, xmm2, nil
- accum xmm5, xmm6, xmm7, nil
+ mulcore [edi + 4], esi, xmm0, xmm1, xmm2
+ accum xmm5, xmm6, xmm7
- mulcore [edi + 8], esi, xmm0, xmm1, nil, nil
- accum xmm6, xmm7, nil, nil
+ mulcore [edi + 8], esi, xmm0, xmm1
+ accum xmm6, xmm7
- mulcore [edi + 12], esi, xmm0, nil, nil, nil
- accum xmm7, nil, nil, nil
+ mulcore [edi + 12], esi, xmm0
+ accum xmm7
// That's lots of pieces. Now we have to assemble the answer.
- squash xmm4, xmm5, xmm6, xmm7, nil, xmm0, xmm1
+ squash xmm4, xmm5, xmm6, xmm7, xmm0, xmm1, xmm4
// Expand it.
pxor xmm2, xmm2
- expand xmm4, xmm1, nil, nil, xmm2
+ expand xmm2, xmm4, xmm1
movdqa [edx + 0], xmm4
movdqa [edx + 16], xmm1
movd xmm7, [edi + 12]
// Finish the calculation by adding the Montgomery product.
- mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil
+ mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7
propout [edi + 0], xmm4, xmm5
mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, t
///--------------------------------------------------------------------------
/// Bulk multipliers.
+FUNC(mpx_umul4_x86_avx)
+ .arch .avx
+ vzeroupper
+ endprologue
+ // and drop through...
+ .arch pentium4
+ENDFUNC
+
FUNC(mpx_umul4_x86_sse2)
// void mpx_umul4_x86_sse2(mpw *dv, const mpw *av, const mpw *avl,
// const mpw *bv, const mpw *bvl);
pushreg ebx
pushreg esi
pushreg edi
- setfp ebp
+ setfp
and esp, ~15
sub esp, 32
endprologue
movdqu xmm0, [esi] // bv[0]
mov edi, [ebp + 20] // -> dv[0]
mov ecx, edi // outer loop dv cursor
- expand xmm0, xmm1, nil, nil, xmm7
+ expand xmm7, xmm0, xmm1
mov ebx, [ebp + 24] // -> av[0]
mov eax, [ebp + 28] // -> av[m] = av limit
mov edx, esp // -> expanded Y = bv[0]
1: movdqu xmm0, [esi] // bv[i]
mov edi, ecx // -> dv[i]
pxor xmm7, xmm7
- expand xmm0, xmm1, nil, nil, xmm7
+ expand xmm7, xmm0, xmm1
mov ebx, [ebp + 24] // -> av[0]
movdqa [esp + 0], xmm0 // bv[i] expanded low
movdqa [esp + 16], xmm1 // bv[i] expanded high
ENDFUNC
+FUNC(mpxmont_mul4_x86_avx)
+ .arch .avx
+ vzeroupper
+ endprologue
+ // and drop through...
+ .arch pentium4
+ENDFUNC
+
FUNC(mpxmont_mul4_x86_sse2)
// void mpxmont_mul4_x86_sse2(mpw *dv, const mpw *av, const mpw *bv,
// const mpw *nv, size_t n, const mpw *mi);
// ebp + 36 n (nonzero multiple of 4)
// ebp + 40 mi
//
- // Locals are relative to ESP, which is 4 mod 16, as follows.
+ // Locals are relative to ESP, which 16-byte aligned, as follows.
//
- // esp + 0 outer loop dv
- // esp + 4 outer loop bv
- // esp + 8 av limit (mostly in ESI)
- // esp + 12 expanded V (32 bytes)
- // esp + 44 expanded M (32 bytes)
- // esp + 76 expanded Y (32 bytes)
+ // esp + 0 expanded V (32 bytes)
+ // esp + 32 expanded M (32 bytes)
+ // esp + 64 expanded Y (32 bytes)
+ // esp + 96 outer loop dv
+ // esp + 100 outer loop bv
+ // esp + 104 av limit (mostly in ESI)
// esp + 108 bv limit
- // esp + 112 (gap)
- // esp + 124 (top of locals)
+ // esp + 112 (top of locals)
pushreg ebp
pushreg ebx
pushreg esi
pushreg edi
- setfp ebp
+ setfp
and esp, ~15
- sub esp, 124
+ sub esp, 112
endprologue
// Establish the expanded operands.
mov edx, [ebp + 40] // -> mi
movdqu xmm0, [ecx] // bv[0]
movdqu xmm2, [edx] // mi
- expand xmm0, xmm1, xmm2, xmm3, xmm7
- movdqa [esp + 12], xmm0 // bv[0] expanded low
- movdqa [esp + 28], xmm1 // bv[0] expanded high
- movdqa [esp + 44], xmm2 // mi expanded low
- movdqa [esp + 60], xmm3 // mi expanded high
+ expand xmm7, xmm0, xmm1, xmm2, xmm3
+ movdqa [esp + 0], xmm0 // bv[0] expanded low
+ movdqa [esp + 16], xmm1 // bv[0] expanded high
+ movdqa [esp + 32], xmm2 // mi expanded low
+ movdqa [esp + 48], xmm3 // mi expanded high
// Set up the outer loop state and prepare for the first iteration.
mov edx, [ebp + 36] // n
mov eax, [ebp + 24] // -> U = av[0]
mov ebx, [ebp + 32] // -> X = nv[0]
mov edi, [ebp + 20] // -> Z = dv[0]
- mov [esp + 4], ecx
+ mov [esp + 100], ecx
lea ecx, [ecx + 4*edx] // -> bv[n/4] = bv limit
lea edx, [eax + 4*edx] // -> av[n/4] = av limit
- mov [esp + 0], edi
+ mov [esp + 96], edi
+ mov [esp + 104], edx
mov [esp + 108], ecx
- mov [esp + 8], edx
- lea ecx, [esp + 12] // -> expanded V = bv[0]
- lea esi, [esp + 44] // -> expanded M = mi
- lea edx, [esp + 76] // -> space for Y
+ lea ecx, [esp + 0] // -> expanded V = bv[0]
+ lea esi, [esp + 32] // -> expanded M = mi
+ lea edx, [esp + 64] // -> space for Y
call mmul4
- mov esi, [esp + 8] // recover av limit
+ mov esi, [esp + 104] // recover av limit
add edi, 16
add eax, 16
add ebx, 16
cmp eax, esi // done already?
jae 8f
- mov [esp + 0], edi
+ mov [esp + 96], edi
.p2align 4
// Complete the first inner loop.
// Embark on the next iteration. (There must be one. If n = 1, then
// we would have bailed above, to label 8. Similarly, the subsequent
// iterations can fall into the inner loop immediately.)
-1: mov eax, [esp + 4] // -> bv[i - 1]
- mov edi, [esp + 0] // -> Z = dv[i]
+1: mov eax, [esp + 100] // -> bv[i - 1]
+ mov edi, [esp + 96] // -> Z = dv[i]
add eax, 16 // -> bv[i]
pxor xmm7, xmm7
- movdqu xmm0, [eax] // bv[i]
- mov [esp + 4], eax
+ mov [esp + 100], eax
cmp eax, [esp + 108] // done yet?
jae 9f
+ movdqu xmm0, [eax] // bv[i]
mov ebx, [ebp + 32] // -> X = nv[0]
- lea esi, [esp + 44] // -> expanded M = mi
+ lea esi, [esp + 32] // -> expanded M = mi
mov eax, [ebp + 24] // -> U = av[0]
- expand xmm0, xmm1, nil, nil, xmm7
- movdqa [esp + 12], xmm0 // bv[i] expanded low
- movdqa [esp + 28], xmm1 // bv[i] expanded high
+ expand xmm7, xmm0, xmm1
+ movdqa [esp + 0], xmm0 // bv[i] expanded low
+ movdqa [esp + 16], xmm1 // bv[i] expanded high
call mmla4
- mov esi, [esp + 8] // recover av limit
+ mov esi, [esp + 104] // recover av limit
add edi, 16
add eax, 16
add ebx, 16
- mov [esp + 0], edi
+ mov [esp + 96], edi
.p2align 4
// Complete the next inner loop.
ENDFUNC
+FUNC(mpxmont_redc4_x86_avx)
+ .arch .avx
+ vzeroupper
+ endprologue
+ // and drop through...
+ .arch pentium4
+ENDFUNC
+
FUNC(mpxmont_redc4_x86_sse2)
// void mpxmont_redc4_x86_sse2(mpw *dv, mpw *dvl, const mpw *nv,
// size_t n, const mpw *mi);
pushreg ebx
pushreg esi
pushreg edi
- setfp ebp
+ setfp
and esp, ~15
sub esp, 76
endprologue
mov edx, [ebp + 36] // -> mi
movdqu xmm0, [edx] // mi
and eax, ~15 // mask off the tail end
- expand xmm0, xmm1, nil, nil, xmm7
+ expand xmm7, xmm0, xmm1
add eax, edi // find limit
movdqa [esp + 12], xmm0 // mi expanded low
movdqa [esp + 28], xmm1 // mi expanded high
lea esi, [esp + 12] // -> expanded M = mi
lea edx, [esp + 44] // -> space for Y
call mont4
- add edi, 16
add ebx, 16
+ add edi, 16
cmp ebx, ecx // done already?
jae 8f
mov [ebx + ecx*8 + 4], edx
.endm
-.macro testprologue
+.macro testprologue n
pushreg ebp
pushreg ebx
pushreg esi
pushreg edi
- setfp ebp
+ setfp
and esp, ~15
- sub esp, 3*32 + 12
+ sub esp, 3*32 + 4*4
endprologue
+ mov eax, \n
+ mov [esp + 104], eax
// vars:
- // esp + 0 = cycles
- // esp + 12 = v expanded
- // esp + 44 = y expanded
- // esp + 72 = ? expanded
+ // esp + 0 = v expanded
+ // esp + 32 = y expanded
+ // esp + 64 = ? expanded
+ // esp + 96 = cycles
+ // esp + 104 = count
.endm
.macro testepilogue
.macro testldcarry c
mov ecx, \c // -> c
- movdqu xmm4, [ecx + 0] // (c'_0, c''_0)
- movdqu xmm5, [ecx + 16] // (c'_1, c''_1)
- movdqu xmm6, [ecx + 32] // (c'_2, c''_2)
+ movdqu xmm4, [ecx + 0] // (c'_0; c''_0)
+ movdqu xmm5, [ecx + 16] // (c'_1; c''_1)
+ movdqu xmm6, [ecx + 32] // (c'_2; c''_2)
.endm
-.macro testexpand v, y
+.macro testexpand v=nil, y=nil
pxor xmm7, xmm7
.ifnes "\v", "nil"
mov ecx, \v
movdqu xmm0, [ecx]
- expand xmm0, xmm1, nil, nil, xmm7
- movdqa [esp + 12], xmm0
- movdqa [esp + 28], xmm1
+ expand xmm7, xmm0, xmm1
+ movdqa [esp + 0], xmm0
+ movdqa [esp + 16], xmm1
.endif
.ifnes "\y", "nil"
mov edx, \y
movdqu xmm2, [edx]
- expand xmm2, xmm3, nil, nil, xmm7
- movdqa [esp + 44], xmm2
- movdqa [esp + 60], xmm3
+ expand xmm7, xmm2, xmm3
+ movdqa [esp + 32], xmm2
+ movdqa [esp + 48], xmm3
.endif
.endm
-.macro testtop u, x, mode
+.macro testtop u=nil, x=nil, mode=nil
.p2align 4
0:
.ifnes "\u", "nil"
- lea ecx, [esp + 12]
+ lea ecx, [esp + 0]
.endif
mov ebx, \x
.ifeqs "\mode", "mont"
- lea esi, [esp + 44]
+ lea esi, [esp + 32]
.endif
- cysetup esp + 0
+ cysetup esp + 96
.ifnes "\u", "nil"
mov eax, \u
.endif
.ifeqs "\mode", "mont"
- lea edx, [esp + 76]
+ lea edx, [esp + 64]
.else
- lea edx, [esp + 44]
+ lea edx, [esp + 32]
.endif
.endm
-.macro testtail cyv, n
- cystore esp + 0, \cyv, \n
+.macro testtail cyv
+ cystore esp + 96, \cyv, esp + 104
jnz 0b
.endm
.endm
FUNC(test_dmul4)
- testprologue
+ testprologue [ebp + 44]
testldcarry [ebp + 24]
testexpand [ebp + 36], [ebp + 40]
mov edi, [ebp + 20]
testtop [ebp + 28], [ebp + 32]
call dmul4
- testtail [ebp + 48], [ebp + 44]
+ testtail [ebp + 48]
testcarryout [ebp + 24]
testepilogue
ENDFUNC
FUNC(test_dmla4)
- testprologue
+ testprologue [ebp + 44]
testldcarry [ebp + 24]
testexpand [ebp + 36], [ebp + 40]
mov edi, [ebp + 20]
testtop [ebp + 28], [ebp + 32]
call dmla4
- testtail [ebp + 48], [ebp + 44]
+ testtail [ebp + 48]
testcarryout [ebp + 24]
testepilogue
ENDFUNC
FUNC(test_mul4)
- testprologue
+ testprologue [ebp + 36]
testldcarry [ebp + 24]
testexpand nil, [ebp + 32]
mov edi, [ebp + 20]
testtop nil, [ebp + 28]
call mul4
- testtail [ebp + 40], [ebp + 36]
+ testtail [ebp + 40]
+ testcarryout [ebp + 24]
+ testepilogue
+ENDFUNC
+
+FUNC(test_mul4zc)
+ testprologue [ebp + 36]
+ testldcarry [ebp + 24]
+ testexpand nil, [ebp + 32]
+ mov edi, [ebp + 20]
+ testtop nil, [ebp + 28]
+ call mul4zc
+ testtail [ebp + 40]
testcarryout [ebp + 24]
testepilogue
ENDFUNC
FUNC(test_mla4)
- testprologue
+ testprologue [ebp + 36]
testldcarry [ebp + 24]
testexpand nil, [ebp + 32]
mov edi, [ebp + 20]
testtop nil, [ebp + 28]
call mla4
- testtail [ebp + 40], [ebp + 36]
+ testtail [ebp + 40]
+ testcarryout [ebp + 24]
+ testepilogue
+ENDFUNC
+
+FUNC(test_mla4zc)
+ testprologue [ebp + 36]
+ testldcarry [ebp + 24]
+ testexpand nil, [ebp + 32]
+ mov edi, [ebp + 20]
+ testtop nil, [ebp + 28]
+ call mla4zc
+ testtail [ebp + 40]
testcarryout [ebp + 24]
testepilogue
ENDFUNC
FUNC(test_mmul4)
- testprologue
+ testprologue [ebp + 48]
testexpand [ebp + 40], [ebp + 44]
mov edi, [ebp + 20]
testtop [ebp + 32], [ebp + 36], mont
call mmul4
- testtail [ebp + 52], [ebp + 48]
+ testtail [ebp + 52]
mov edi, [ebp + 28]
- movdqa xmm0, [esp + 76]
- movdqa xmm1, [esp + 92]
+ movdqa xmm0, [esp + 64]
+ movdqa xmm1, [esp + 80]
movdqu [edi], xmm0
movdqu [edi + 16], xmm1
testcarryout [ebp + 24]
ENDFUNC
FUNC(test_mmla4)
- testprologue
+ testprologue [ebp + 48]
testexpand [ebp + 40], [ebp + 44]
mov edi, [ebp + 20]
testtop [ebp + 32], [ebp + 36], mont
call mmla4
- testtail [ebp + 52], [ebp + 48]
+ testtail [ebp + 52]
mov edi, [ebp + 28]
- movdqa xmm0, [esp + 76]
- movdqa xmm1, [esp + 92]
+ movdqa xmm0, [esp + 64]
+ movdqa xmm1, [esp + 80]
movdqu [edi], xmm0
movdqu [edi + 16], xmm1
testcarryout [ebp + 24]
ENDFUNC
FUNC(test_mont4)
- testprologue
+ testprologue [ebp + 40]
testexpand nil, [ebp + 36]
mov edi, [ebp + 20]
testtop nil, [ebp + 32], mont
call mont4
- testtail [ebp + 44], [ebp + 40]
+ testtail [ebp + 44]
mov edi, [ebp + 28]
- movdqa xmm0, [esp + 76]
- movdqa xmm1, [esp + 92]
+ movdqa xmm0, [esp + 64]
+ movdqa xmm1, [esp + 80]
movdqu [edi], xmm0
movdqu [edi + 16], xmm1
testcarryout [ebp + 24]