X-Git-Url: https://git.distorted.org.uk/~mdw/catacomb/blobdiff_plain/e7ee4000d06cadd8355404c8ddfb3d16265d24ca..981a9e5d5e3af6c06ad8b3f821928852068227e4:/math/mpx-mul4-amd64-sse2.S diff --git a/math/mpx-mul4-amd64-sse2.S b/math/mpx-mul4-amd64-sse2.S index 5a748c60..d4726afa 100644 --- a/math/mpx-mul4-amd64-sse2.S +++ b/math/mpx-mul4-amd64-sse2.S @@ -59,9 +59,9 @@ /// pieces are placed into 32-bit cells, and arranged as two 128-bit SSE /// operands, as follows. /// -/// Offset 0 4 8 12 -/// 0 v'_0 v'_1 v''_0 v''_1 -/// 16 v'_2 v'_3 v''_2 v''_3 +/// Offset 12 8 4 0 +/// 0 v''_1 v''_0 v'_1 v'_0 +/// 16 v''_3 v''_2 v'_3 v'_2 /// /// A `pmuludqd' instruction ignores the odd positions in its operands; thus, /// it will act on (say) v'_0 and v''_0 in a single instruction. Shifting @@ -137,32 +137,32 @@ .macro mulcore r, i, slo, shi, d0, d1=nil, d2=nil, d3=nil // Multiply R_I by the expanded operand SLO/SHI, and leave the pieces // of the product in registers D0, D1, D2, D3. - pshufd \d0, \r, SHUF(\i, 3, \i, 3) // (r_i, ?; r_i, ?) + pshufd \d0, \r, SHUF(3, \i, 3, \i) // (?, r_i; ?, r_i) .ifnes "\d1", "nil" - movdqa \d1, \slo // (s'_0, s'_1; s''_0, s''_1) + movdqa \d1, \slo // (s''_1, s''_0; s'_1, s'_0) .endif .ifnes "\d3", "nil" - movdqa \d3, \shi // (s'_2, s'_3; s''_2, s''_3) + movdqa \d3, \shi // (s''_3, s''_2; s'_3, s'_2) .endif .ifnes "\d1", "nil" - psrldq \d1, 4 // (s'_1, s''_0; s''_1, 0) + psrldq \d1, 4 // (0, s''_1; s''_0, s'_1) .endif .ifnes "\d2", "nil" - movdqa \d2, \d0 // another copy of (r_i, ?; r_i, ?) + movdqa \d2, \d0 // another copy of (?, r_i; ?, r_i) .endif .ifnes "\d3", "nil" - psrldq \d3, 4 // (s'_3, s''_2; s''_3, 0) + psrldq \d3, 4 // (0, s''_3; s''_2, s'_3) .endif .ifnes "\d1", "nil" - pmuludq \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" - pmuludq \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" - pmuludq \d2, \shi // (r_i s'_2; r_i s''_2) + pmuludq \d2, \shi // (r_i s''_2; r_i s'_2) .endif - pmuludq \d0, \slo // (r_i s'_0; r_i s''_0) + pmuludq \d0, \slo // (r_i s''_0; r_i s'_0) .endm .macro accum c0, c1=nil, c2=nil, c3=nil @@ -204,10 +204,10 @@ // lane 0 or 1 of D; the high two lanes of D are clobbered. 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(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'') + pshufd xmm3, \c, SHUF(2, 3, 3, 3) // (t = c'' mod B, ?; ?, ?) + psrldq xmm3, 12 // (0, 0; 0, t) = (0; t) + pslldq xmm3, 2 // (0; t b) + paddq \c, xmm3 // (c''; c' + t b) .ifeqs "\pos", "lo" movdqa \d, \c .else @@ -224,10 +224,10 @@ // of the value represented in C are written at POS in 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; 0) = (c; 0) + psllq \t, 16 // (c'' b; ?) + pslldq \c, 8 // (c'; 0) + paddq \t, \c // (c' + c'' b; ?) + psrldq \t, 8 // (0; c' + c'' b) = (0; c) .ifeqs "\pos", "lo" movdqa \d, \t .else @@ -240,21 +240,21 @@ // 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_3, a_2; a_1, a_0) .ifnes "\c", "nil" - movdqa \d, \c // (c_0, c_1; c_2, c_3) + movdqa \d, \c // (c_3, c_2; c_1, c_0) .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''_1, a'_1; a''_0, a'_0) + punpckhwd \b, \z // (a''_3, a'_3; a''_2, a'_2) .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''_1, c'_1; c''_0, c'_0) + punpckhwd \d, \z // (c''_3, c'_3; c''_2, c'_2) .endif - 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) + pshufd \a, \a, SHUF(3, 1, 2, 0) // (a''_1, a''_0; a'_1, a'_0) + pshufd \b, \b, SHUF(3, 1, 2, 0) // (a''_3, a''_2; a'_3, a'_2) .ifnes "\c", "nil" - 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) + pshufd \c, \c, SHUF(3, 1, 2, 0) // (c''_1, c''_0; c'_1, c'_0) + pshufd \d, \d, SHUF(3, 1, 2, 0) // (c''_3, c''_2; c'_3, c'_2) .endif .endm @@ -270,10 +270,10 @@ // 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'_2; y'_0) + punpckhqdq \c0, \c2 // (y''_2; y''_0) + punpcklqdq \u, \c3 // (y'_3; y'_1) + punpckhqdq \c1, \c3 // (y''_3; y''_1) // Now split the double-prime pieces. The high (up to) 48 bits will // go up; the low 16 bits go down. @@ -281,43 +281,43 @@ 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) + psrlq \c0, 16 // high parts of (y''_2; y''_0) + psrlq \c1, 16 // high parts of (y''_3; y''_1) + psrlq \c2, 32 // low parts of (y''_2; y''_0) + psrlq \c3, 32 // low parts of (y''_3; y''_1) .ifnes "\hi", "nil" movdqa \hi, \c1 .endif - pslldq \c1, 8 // high part of (0; y''_1) + pslldq \c1, 8 // high part of (y''_1; 0) paddq \t, \c2 // propagate down paddq \u, \c3 - paddq \t, \c1 // and up: (y_0; y_2) - paddq \u, \c0 // (y_1; y_3) + paddq \t, \c1 // and up: (y_2; y_0) + paddq \u, \c0 // (y_3; y_1) .ifnes "\hi", "nil" - psrldq \hi, 8 // high part of (y''_3; 0) + psrldq \hi, 8 // high part of (0; y''_3) .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; ?) - movdqa \lo, \t // (y^*_0, ?; ?, ?) - psrldq \t, 8 // (y_2; 0) + movdqa \c3, \t // (?; y_0) + movdqa \lo, \t // (?, ?; ?, y^*_0) + psrldq \t, 8 // (0; y_2) 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) + movdqa \c1, \c3 // (?, ?; ?, y^*_1) + psrldq \u, 8 // (0; y_3) 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; ?, ?) + punpckldq \lo, \c3 // (?, ?; y^*_2, y^*_0) 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 - punpckldq \c1, \c3 // (y^*_1, y^*_3; ?, ?) + punpckldq \c1, \c3 // (?, ?; y^*_3, y^*_1) .ifnes "\hi", "nil" psrlq \t, 32 // very high bits of y paddq \hi, \t @@ -334,13 +334,13 @@ // On exit, the carry registers, including XMM15, are updated to hold // C + A; XMM0, XMM1, XMM2, and XMM3 are clobbered. The other // registers are preserved. - movd xmm0, [rdi + 0] // (a_0; 0) - movd xmm1, [rdi + 4] // (a_1; 0) - movd xmm2, [rdi + 8] // (a_2; 0) - movd xmm15, [rdi + 12] // (a_3; 0) - paddq xmm12, xmm0 // (c'_0 + a_0; c''_0) - paddq xmm13, xmm1 // (c'_1 + a_1; c''_1) - paddq xmm14, xmm2 // (c'_2 + a_2; c''_2 + a_3 b) + movd xmm0, [rdi + 0] // (0; a_0) + movd xmm1, [rdi + 4] // (0; a_1) + movd xmm2, [rdi + 8] // (0; a_2) + movd xmm15, [rdi + 12] // (0; a_3) + paddq xmm12, xmm0 // (c''_0; c'_0 + a_0) + paddq xmm13, xmm1 // (c''_1; c'_1 + a_1) + paddq xmm14, xmm2 // (c''_2 + a_3 b; c'_2 + a_2) .endm ///-------------------------------------------------------------------------- @@ -654,8 +654,8 @@ INTFUNC(mmla4) mulcore xmm7, 1, xmm10, xmm11, xmm0, xmm1, xmm2 accum xmm4, xmm5, xmm6 - punpckldq xmm12, xmm15 // (w_0, 0; w_1, 0) - punpckhdq xmm14, xmm15 // (w_2, 0; w_3, 0) + punpckldq xmm12, xmm15 // (0, w_1; 0, w_0) + punpckhdq xmm14, xmm15 // (0, w_3; 0, w_2) mulcore xmm7, 2, xmm10, xmm11, xmm0, xmm1 accum xmm5, xmm6 @@ -667,10 +667,10 @@ INTFUNC(mmla4) mulcore xmm7, 3, xmm10, xmm11, xmm0 accum xmm6 - punpckldq xmm12, xmm2 // (w_0, 0; 0, 0) - punpckldq xmm14, xmm2 // (w_2, 0; 0, 0) - punpckhdq xmm13, xmm2 // (w_1, 0; 0, 0) - punpckhdq xmm15, xmm2 // (w_3, 0; 0, 0) + punpckldq xmm12, xmm2 // (0, 0; 0, w_0) + punpckldq xmm14, xmm2 // (0, 0; 0, w_2) + punpckhdq xmm13, xmm2 // (0, 0; 0, w_1) + punpckhdq xmm15, xmm2 // (0, 0; 0, w_3) // That's lots of pieces. Now we have to assemble the answer. squash xmm3, xmm4, xmm5, xmm6, xmm0, xmm1, xmm10 @@ -736,8 +736,8 @@ INTFUNC(mont4) mulcore xmm7, 1, xmm8, xmm9, xmm0, xmm1, xmm2 accum xmm4, xmm5, xmm6 - punpckldq xmm12, xmm15 // (w_0, 0; w_1, 0) - punpckhdq xmm14, xmm15 // (w_2, 0; w_3, 0) + punpckldq xmm12, xmm15 // (0, w_1; 0, w_0) + punpckhdq xmm14, xmm15 // (0, w_3; 0, w_2) mulcore xmm7, 2, xmm8, xmm9, xmm0, xmm1 accum xmm5, xmm6 @@ -749,10 +749,10 @@ INTFUNC(mont4) mulcore xmm7, 3, xmm8, xmm9, xmm0 accum xmm6 - punpckldq xmm12, xmm2 // (w_0, 0; 0, 0) - punpckldq xmm14, xmm2 // (w_2, 0; 0, 0) - punpckhdq xmm13, xmm2 // (w_1, 0; 0, 0) - punpckhdq xmm15, xmm2 // (w_3, 0; 0, 0) + punpckldq xmm12, xmm2 // (0, 0; 0, w_0) + punpckldq xmm14, xmm2 // (0, 0; 0, w_2) + punpckhdq xmm13, xmm2 // (0, 0; 0, w_1) + punpckhdq xmm15, xmm2 // (0, 0; 0, w_3) // That's lots of pieces. Now we have to assemble the answer. squash xmm3, xmm4, xmm5, xmm6, xmm0, xmm1, xmm10 @@ -1511,9 +1511,9 @@ ENDFUNC .endm .macro testldcarry - movdqu xmm12, [rcx + 0] // (c'_0; c''_0) - movdqu xmm13, [rcx + 16] // (c'_1; c''_1) - movdqu xmm14, [rcx + 32] // (c'_2; c''_2) + movdqu xmm12, [rcx + 0] // (c''_0; c'_0) + movdqu xmm13, [rcx + 16] // (c''_1; c'_1) + movdqu xmm14, [rcx + 32] // (c''_2; c'_2) .endm .macro testtop u=nil @@ -1601,8 +1601,8 @@ FUNC(test_mmul4) testtop r11 call mmul4 testtail - pshufd xmm10, xmm10, SHUF(0, 2, 1, 3) - pshufd xmm11, xmm11, SHUF(0, 2, 1, 3) + pshufd xmm10, xmm10, SHUF(3, 1, 2, 0) + pshufd xmm11, xmm11, SHUF(3, 1, 2, 0) movdqu [r10 + 0], xmm10 movdqu [r10 + 16], xmm11 testcarryout @@ -1614,8 +1614,8 @@ FUNC(test_mmla4) testtop r11 call mmla4 testtail - pshufd xmm10, xmm10, SHUF(0, 2, 1, 3) - pshufd xmm11, xmm11, SHUF(0, 2, 1, 3) + pshufd xmm10, xmm10, SHUF(3, 1, 2, 0) + pshufd xmm11, xmm11, SHUF(3, 1, 2, 0) movdqu [r10 + 0], xmm10 movdqu [r10 + 16], xmm11 testcarryout @@ -1627,8 +1627,8 @@ FUNC(test_mont4) testtop call mont4 testtail - pshufd xmm10, xmm10, SHUF(0, 2, 1, 3) - pshufd xmm11, xmm11, SHUF(0, 2, 1, 3) + pshufd xmm10, xmm10, SHUF(3, 1, 2, 0) + pshufd xmm11, xmm11, SHUF(3, 1, 2, 0) movdqu [r10 + 0], xmm10 movdqu [r10 + 16], xmm11 testcarryout