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1 | /// -*- mode: asm; asm-comment-char: ?/; comment-start: "// " -*- |
2 | /// | |
3 | /// Large SIMD-based multiplications | |
4 | /// | |
5 | /// (c) 2016 Straylight/Edgeware | |
6 | ||
7 | ///----- Licensing notice --------------------------------------------------- | |
8 | /// | |
9 | /// This file is part of Catacomb. | |
10 | /// | |
11 | /// Catacomb is free software; you can redistribute it and/or modify | |
12 | /// it under the terms of the GNU Library General Public License as | |
13 | /// published by the Free Software Foundation; either version 2 of the | |
14 | /// License, or (at your option) any later version. | |
15 | /// | |
16 | /// Catacomb is distributed in the hope that it will be useful, | |
17 | /// but WITHOUT ANY WARRANTY; without even the implied warranty of | |
18 | /// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
19 | /// GNU Library General Public License for more details. | |
20 | /// | |
21 | /// You should have received a copy of the GNU Library General Public | |
22 | /// License along with Catacomb; if not, write to the Free | |
23 | /// Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, | |
24 | /// MA 02111-1307, USA. | |
25 | ||
26 | ///-------------------------------------------------------------------------- | |
27 | /// External definitions. | |
28 | ||
29 | #include "config.h" | |
30 | #include "asm-common.h" | |
31 | ||
32 | ///-------------------------------------------------------------------------- | |
33 | /// Prologue. | |
34 | ||
35 | .arch pentium4 | |
36 | .text | |
37 | ||
38 | ///-------------------------------------------------------------------------- | |
39 | /// Theory. | |
40 | /// | |
41 | /// We define a number of primitive fixed-size multipliers from which we can | |
42 | /// construct more general variable-length multipliers. | |
43 | /// | |
44 | /// The basic trick is the same throughout. In an operand-scanning | |
45 | /// multiplication, the inner multiplication loop multiplies a | |
46 | /// multiple-precision operand by a single precision factor, and adds the | |
47 | /// result, appropriately shifted, to the result. A `finely integrated | |
48 | /// operand scanning' implementation of Montgomery multiplication also adds | |
49 | /// the product of a single-precision `Montgomery factor' and the modulus, | |
50 | /// calculated in the same pass. The more common `coarsely integrated | |
51 | /// operand scanning' alternates main multiplication and Montgomery passes, | |
52 | /// which requires additional carry propagation. | |
53 | /// | |
54 | /// Throughout both plain-multiplication and Montgomery stages, then, one of | |
55 | /// the factors remains constant throughout the operation, so we can afford | |
56 | /// to take a little time to preprocess it. The transformation we perform is | |
57 | /// as follows. Let b = 2^16, and B = b^2 = 2^32. Suppose we're given a | |
58 | /// 128-bit factor v = v_0 + v_1 B + v_2 B^2 + v_3 B^3. Split each v_i into | |
59 | /// two sixteen-bit pieces, so v_i = v'_i + v''_i b. These eight 16-bit | |
60 | /// pieces are placed into 32-bit cells, and arranged as two 128-bit SSE | |
61 | /// operands, as follows. | |
62 | /// | |
63 | /// Offset 0 4 8 12 | |
64 | /// 0 v'_0 v'_1 v''_0 v''_1 | |
65 | /// 16 v'_2 v'_3 v''_2 v''_3 | |
66 | /// | |
67 | /// A `pmuludqd' instruction ignores the odd positions in its operands; thus, | |
68 | /// it will act on (say) v'_0 and v''_0 in a single instruction. Shifting | |
69 | /// this vector right by 4 bytes brings v'_1 and v''_1 into position. We can | |
70 | /// multiply such a vector by a full 32-bit scalar to produce two 48-bit | |
71 | /// results in 64-bit fields. The sixteen bits of headroom allows us to add | |
72 | /// many products together before we must deal with carrying; it also allows | |
73 | /// for some calculations to be performed on the above expanded form. | |
74 | /// | |
75 | /// On 32-bit x86, we are register starved: the expanded operands are kept in | |
76 | /// memory, typically in warm L1 cache. | |
77 | /// | |
78 | /// We maintain four `carry' registers accumulating intermediate results. | |
79 | /// The registers' precise roles rotate during the computation; we name them | |
80 | /// `c0', `c1', `c2', and `c3'. Each carry register holds two 64-bit halves: | |
81 | /// the register c0, for example, holds c'_0 (low half) and c''_0 (high | |
82 | /// half), and represents the value c_0 = c'_0 + c''_0 b; the carry registers | |
83 | /// collectively represent the value c_0 + c_1 B + c_2 B^2 + c_3 B^3. The | |
84 | /// `pmuluqdq' instruction acting on a scalar operand (broadcast across all | |
85 | /// lanes of its vector) and an operand in the expanded form above produces a | |
86 | /// result which can be added directly to the appropriate carry register. | |
87 | /// Following a pass of four multiplications, we perform some limited carry | |
88 | /// propagation: let t = c''_0 mod B, and let d = c'_0 + t b; then we output | |
89 | /// z = d mod B, add (floor(d/B), floor(c''_0/B)) to c1, and cycle the carry | |
90 | /// registers around, so that c1 becomes c0, and the old c0 is (implicitly) | |
91 | /// zeroed becomes c3. | |
92 | ||
93 | ///-------------------------------------------------------------------------- | |
94 | /// Macro definitions. | |
95 | ||
96 | .macro mulcore r, s, d0, d1, d2, d3 | |
97 | // Load a word r_i from R, multiply by the expanded operand [S], and | |
98 | // leave the pieces of the product in registers D0, D1, D2, D3. | |
99 | movd \d0, \r // (r_i, 0, 0, 0) | |
100 | .ifnes "\d1", "nil" | |
101 | movdqa \d1, [\s] // (s'_0, s'_1, s''_0, s''_1) | |
102 | .endif | |
103 | .ifnes "\d3", "nil" | |
104 | movdqa \d3, [\s + 16] // (s'_2, s'_3, s''_2, s''_3) | |
105 | .endif | |
aec741b6 | 106 | pshufd \d0, \d0, SHUF(3, 0, 3, 0) // (r_i, ?, r_i, ?) |
444083ae MW |
107 | .ifnes "\d1", "nil" |
108 | psrldq \d1, 4 // (s'_1, s''_0, s''_1, 0) | |
109 | .endif | |
110 | .ifnes "\d2", "nil" | |
111 | .ifnes "\d3", "nil" | |
112 | movdqa \d2, \d3 // another copy of (s'_2, s'_3, ...) | |
113 | .else | |
114 | movdqa \d2, \d0 // another copy of (r_i, ?, r_i, ?) | |
115 | .endif | |
116 | .endif | |
117 | .ifnes "\d3", "nil" | |
118 | psrldq \d3, 4 // (s'_3, s''_2, s''_3, 0) | |
119 | .endif | |
120 | .ifnes "\d1", "nil" | |
121 | pmuludqd \d1, \d0 // (r_i s'_1, r_i s''_1) | |
122 | .endif | |
123 | .ifnes "\d3", "nil" | |
124 | pmuludqd \d3, \d0 // (r_i s'_3, r_i s''_3) | |
125 | .endif | |
126 | .ifnes "\d2", "nil" | |
127 | .ifnes "\d3", "nil" | |
128 | pmuludqd \d2, \d0 // (r_i s'_2, r_i s''_2) | |
129 | .else | |
130 | pmuludqd \d2, [\s + 16] | |
131 | .endif | |
132 | .endif | |
133 | pmuludqd \d0, [\s] // (r_i s'_0, r_i s''_0) | |
134 | .endm | |
135 | ||
136 | .macro accum c0, c1, c2, c3 | |
137 | paddq \c0, xmm0 | |
138 | .ifnes "\c1", "nil" | |
139 | paddq \c1, xmm1 | |
140 | .endif | |
141 | .ifnes "\c2", "nil" | |
142 | paddq \c2, xmm2 | |
143 | .endif | |
144 | .ifnes "\c3", "nil" | |
145 | paddq \c3, xmm3 | |
146 | .endif | |
147 | .endm | |
148 | ||
149 | .macro mulacc r, s, c0, c1, c2, c3, z3p | |
150 | // Load a word r_i from R, multiply by the expanded operand [S], | |
151 | // and accumulate in carry registers C0, C1, C2, C3. If Z3P is `t' | |
152 | // then C3 notionally contains zero, but needs clearing; in practice, | |
153 | // we store the product directly rather than attempting to add. On | |
154 | // completion, XMM0, XMM1, and XMM2 are clobbered, as is XMM3 if Z3P | |
155 | // is not `t'. | |
156 | .ifeqs "\z3p", "t" | |
157 | mulcore \r, \s, xmm0, xmm1, xmm2, \c3 | |
158 | accum \c0, \c1, \c2, nil | |
159 | .else | |
160 | mulcore \r, \s, xmm0, xmm1, xmm2, xmm3 | |
161 | accum \c0, \c1, \c2, \c3 | |
162 | .endif | |
163 | .endm | |
164 | ||
165 | .macro propout d, c, cc | |
166 | // Calculate an output word from C, and store it in D; propagate | |
167 | // carries out from C to CC in preparation for a rotation of the | |
168 | // carry registers. On completion, XMM3 is clobbered. If CC is | |
169 | // `nil', then the contribution which would have been added to it is | |
170 | // left in C. | |
aec741b6 | 171 | pshufd xmm3, \c, SHUF(2, 3, 3, 3) // (?, ?, ?, t = c'' mod B) |
444083ae MW |
172 | psrldq xmm3, 12 // (t, 0, 0, 0) = (t, 0) |
173 | pslldq xmm3, 2 // (t b, 0) | |
174 | paddq \c, xmm3 // (c' + t b, c'') | |
175 | movd \d, \c | |
176 | psrlq \c, 32 // floor(c/B) | |
177 | .ifnes "\cc", "nil" | |
178 | paddq \cc, \c // propagate up | |
179 | .endif | |
180 | .endm | |
181 | ||
182 | .macro endprop d, c, t | |
183 | // On entry, C contains a carry register. On exit, the low 32 bits | |
184 | // of the value represented in C are written to D, and the remaining | |
185 | // bits are left at the bottom of T. | |
186 | movdqa \t, \c | |
187 | psllq \t, 16 // (?, c'' b) | |
188 | pslldq \c, 8 // (0, c') | |
189 | paddq \t, \c // (?, c' + c'' b) | |
190 | psrldq \t, 8 // c' + c'' b | |
191 | movd \d, \t | |
192 | psrldq \t, 4 // floor((c' + c'' b)/B) | |
193 | .endm | |
194 | ||
195 | .macro expand a, b, c, d, z | |
196 | // On entry, A and C hold packed 128-bit values, and Z is zero. On | |
197 | // exit, A:B and C:D together hold the same values in expanded | |
198 | // form. If C is `nil', then only expand A to A:B. | |
199 | movdqa \b, \a // (a_0, a_1, a_2, a_3) | |
200 | .ifnes "\c", "nil" | |
201 | movdqa \d, \c // (c_0, c_1, c_2, c_3) | |
202 | .endif | |
203 | punpcklwd \a, \z // (a'_0, a''_0, a'_1, a''_1) | |
204 | punpckhwd \b, \z // (a'_2, a''_2, a'_3, a''_3) | |
205 | .ifnes "\c", "nil" | |
206 | punpcklwd \c, \z // (c'_0, c''_0, c'_1, c''_1) | |
207 | punpckhwd \d, \z // (c'_2, c''_2, c'_3, c''_3) | |
208 | .endif | |
aec741b6 MW |
209 | pshufd \a, \a, SHUF(3, 1, 2, 0) // (a'_0, a'_1, a''_0, a''_1) |
210 | pshufd \b, \b, SHUF(3, 1, 2, 0) // (a'_2, a'_3, a''_2, a''_3) | |
444083ae | 211 | .ifnes "\c", "nil" |
aec741b6 MW |
212 | pshufd \c, \c, SHUF(3, 1, 2, 0) // (c'_0, c'_1, c''_0, c''_1) |
213 | pshufd \d, \d, SHUF(3, 1, 2, 0) // (c'_2, c'_3, c''_2, c''_3) | |
444083ae MW |
214 | .endif |
215 | .endm | |
216 | ||
217 | .macro squash c0, c1, c2, c3, h, t, u | |
218 | // On entry, C0, C1, C2, C3 are carry registers representing a value | |
219 | // Y. On exit, C0 holds the low 128 bits of the carry value; C1, C2, | |
220 | // C3, T, and U are clobbered; and the high bits of Y are stored in | |
221 | // H, if this is not `nil'. | |
222 | ||
223 | // The first step is to eliminate the `double-prime' pieces -- i.e., | |
224 | // the ones offset by 16 bytes from a 32-bit boundary -- by carrying | |
225 | // them into the 32-bit-aligned pieces above and below. But before | |
226 | // we can do that, we must gather them together. | |
227 | movdqa \t, \c0 | |
228 | movdqa \u, \c1 | |
229 | punpcklqdq \t, \c2 // (y'_0, y'_2) | |
230 | punpckhqdq \c0, \c2 // (y''_0, y''_2) | |
231 | punpcklqdq \u, \c3 // (y'_1, y'_3) | |
232 | punpckhqdq \c1, \c3 // (y''_1, y''_3) | |
233 | ||
234 | // Now split the double-prime pieces. The high (up to) 48 bits will | |
235 | // go up; the low 16 bits go down. | |
236 | movdqa \c2, \c0 | |
237 | movdqa \c3, \c1 | |
238 | psllq \c2, 48 | |
239 | psllq \c3, 48 | |
240 | psrlq \c0, 16 // high parts of (y''_0, y''_2) | |
241 | psrlq \c1, 16 // high parts of (y''_1, y''_3) | |
242 | psrlq \c2, 32 // low parts of (y''_0, y''_2) | |
243 | psrlq \c3, 32 // low parts of (y''_1, y''_3) | |
244 | .ifnes "\h", "nil" | |
245 | movdqa \h, \c1 | |
246 | .endif | |
247 | pslldq \c1, 8 // high part of (0, y''_1) | |
248 | ||
249 | paddq \t, \c2 // propagate down | |
250 | paddq \u, \c3 | |
251 | paddq \t, \c1 // and up: (y_0, y_2) | |
252 | paddq \u, \c0 // (y_1, y_3) | |
253 | .ifnes "\h", "nil" | |
254 | psrldq \h, 8 // high part of (y''_3, 0) | |
255 | .endif | |
256 | ||
257 | // Finally extract the answer. This complicated dance is better than | |
258 | // storing to memory and loading, because the piecemeal stores | |
259 | // inhibit store forwarding. | |
260 | movdqa \c3, \t // (y_0, y_1) | |
261 | movdqa \c0, \t // (y^*_0, ?, ?, ?) | |
262 | psrldq \t, 8 // (y_2, 0) | |
263 | psrlq \c3, 32 // (floor(y_0/B), ?) | |
264 | paddq \c3, \u // (y_1 + floor(y_0/B), ?) | |
265 | pslldq \c0, 12 // (0, 0, 0, y^*_0) | |
266 | movdqa \c1, \c3 // (y^*_1, ?, ?, ?) | |
267 | psrldq \u, 8 // (y_3, 0) | |
268 | psrlq \c3, 32 // (floor((y_1 B + y_0)/B^2, ?) | |
269 | paddq \c3, \t // (y_2 + floor((y_1 B + y_0)/B^2, ?) | |
270 | pslldq \c1, 12 // (0, 0, 0, y^*_1) | |
271 | psrldq \c0, 12 // (y^*_0, 0, 0, 0) | |
272 | movdqa \c2, \c3 // (y^*_2, ?, ?, ?) | |
273 | psrlq \c3, 32 // (floor((y_2 B^2 + y_1 B + y_0)/B^3, ?) | |
274 | paddq \c3, \u // (y_3 + floor((y_2 B^2 + y_1 B + y_0)/B^3, ?) | |
275 | pslldq \c2, 12 // (0, 0, 0, y^*_2) | |
276 | psrldq \c1, 8 // (0, y^*_1, 0, 0) | |
277 | psrldq \c2, 4 // (0, 0, y^*_2, 0) | |
278 | .ifnes "\h", "nil" | |
279 | movdqu \t, \c3 | |
280 | pxor \u, \u | |
281 | .endif | |
282 | pslldq \c3, 12 // (0, 0, 0, y^*_3) | |
283 | por \c0, \c1 // (y^*_0, y^*_1, 0, 0) | |
284 | por \c2, \c3 // (0, 0, y^*_2, y^*_3) | |
285 | por \c0, \c2 // y mod B^4 | |
286 | .ifnes "\h", "nil" | |
287 | psrlq \t, 32 // very high bits of y | |
288 | paddq \h, \t | |
289 | punpcklqdq \h, \u // carry up | |
290 | .endif | |
291 | .endm | |
292 | ||
293 | .macro carryadd | |
294 | // On entry, EDI points to a packed addend A, and XMM4, XMM5, XMM6 | |
295 | // hold the incoming carry registers c0, c1, and c2 representing a | |
296 | // carry-in C. | |
297 | // | |
298 | // On exit, the carry registers, including XMM7, are updated to hold | |
299 | // C + A; XMM0, XMM1, XMM2, and XMM3 are clobbered. The other | |
300 | // registers are preserved. | |
301 | movd xmm0, [edi + 0] // (a_0, 0) | |
302 | movd xmm1, [edi + 4] // (a_1, 0) | |
303 | movd xmm2, [edi + 8] // (a_2, 0) | |
304 | movd xmm7, [edi + 12] // (a_3, 0) | |
9b9763c0 | 305 | |
444083ae MW |
306 | paddq xmm4, xmm0 // (c'_0 + a_0, c''_0) |
307 | paddq xmm5, xmm1 // (c'_1 + a_1, c''_1) | |
308 | paddq xmm6, xmm2 // (c'_2 + a_2, c''_2 + a_3 b) | |
309 | .endm | |
310 | ||
311 | ///-------------------------------------------------------------------------- | |
312 | /// Primitive multipliers and related utilities. | |
313 | ||
1a517bb3 | 314 | INTFUNC(carryprop) |
444083ae MW |
315 | // On entry, XMM4, XMM5, and XMM6 hold a 144-bit carry in an expanded |
316 | // form. Store the low 128 bits of the represented carry to [EDI] as | |
317 | // a packed 128-bit value, and leave the remaining 16 bits in the low | |
318 | // 32 bits of XMM4. On exit, XMM3, XMM5 and XMM6 are clobbered. | |
0923a413 MW |
319 | endprologue |
320 | ||
444083ae MW |
321 | propout [edi + 0], xmm4, xmm5 |
322 | propout [edi + 4], xmm5, xmm6 | |
323 | propout [edi + 8], xmm6, nil | |
324 | endprop [edi + 12], xmm6, xmm4 | |
325 | ret | |
326 | ||
1a517bb3 MW |
327 | ENDFUNC |
328 | ||
329 | INTFUNC(dmul4) | |
444083ae MW |
330 | // On entry, EDI points to the destination buffer; EAX and EBX point |
331 | // to the packed operands U and X; ECX and EDX point to the expanded | |
332 | // operands V and Y; and XMM4, XMM5, XMM6 hold the incoming carry | |
333 | // registers c0, c1, and c2; c3 is assumed to be zero. | |
334 | // | |
335 | // On exit, we write the low 128 bits of the sum C + U V + X Y to | |
336 | // [EDI], and update the carry registers with the carry out. The | |
337 | // registers XMM0, XMM1, XMM2, XMM3, and XMM7 are clobbered; the | |
338 | // general-purpose registers are preserved. | |
0923a413 MW |
339 | endprologue |
340 | ||
444083ae MW |
341 | mulacc [eax + 0], ecx, xmm4, xmm5, xmm6, xmm7, t |
342 | mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil | |
343 | propout [edi + 0], xmm4, xmm5 | |
344 | ||
345 | mulacc [eax + 4], ecx, xmm5, xmm6, xmm7, xmm4, t | |
346 | mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, nil | |
347 | propout [edi + 4], xmm5, xmm6 | |
348 | ||
349 | mulacc [eax + 8], ecx, xmm6, xmm7, xmm4, xmm5, t | |
350 | mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5, nil | |
351 | propout [edi + 8], xmm6, xmm7 | |
352 | ||
353 | mulacc [eax + 12], ecx, xmm7, xmm4, xmm5, xmm6, t | |
354 | mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6, nil | |
355 | propout [edi + 12], xmm7, xmm4 | |
356 | ||
357 | ret | |
358 | ||
1a517bb3 MW |
359 | ENDFUNC |
360 | ||
361 | INTFUNC(dmla4) | |
444083ae MW |
362 | // On entry, EDI points to the destination buffer, which also |
363 | // contains an addend A to accumulate; EAX and EBX point to the | |
364 | // packed operands U and X; ECX and EDX point to the expanded | |
365 | // operands V and Y; and XMM4, XMM5, XMM6 hold the incoming carry | |
366 | // registers c0, c1, and c2 representing a carry-in C; c3 is assumed | |
367 | // to be zero. | |
368 | // | |
369 | // On exit, we write the low 128 bits of the sum A + C + U V + X Y to | |
370 | // [EDI], and update the carry registers with the carry out. The | |
371 | // registers XMM0, XMM1, XMM2, XMM3, and XMM7 are clobbered; the | |
372 | // general-purpose registers are preserved. | |
0923a413 MW |
373 | endprologue |
374 | ||
444083ae MW |
375 | carryadd |
376 | ||
377 | mulacc [eax + 0], ecx, xmm4, xmm5, xmm6, xmm7, nil | |
378 | mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil | |
379 | propout [edi + 0], xmm4, xmm5 | |
380 | ||
381 | mulacc [eax + 4], ecx, xmm5, xmm6, xmm7, xmm4, t | |
382 | mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, nil | |
383 | propout [edi + 4], xmm5, xmm6 | |
384 | ||
385 | mulacc [eax + 8], ecx, xmm6, xmm7, xmm4, xmm5, t | |
386 | mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5, nil | |
387 | propout [edi + 8], xmm6, xmm7 | |
388 | ||
389 | mulacc [eax + 12], ecx, xmm7, xmm4, xmm5, xmm6, t | |
390 | mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6, nil | |
391 | propout [edi + 12], xmm7, xmm4 | |
392 | ||
393 | ret | |
394 | ||
1a517bb3 MW |
395 | ENDFUNC |
396 | ||
397 | INTFUNC(mul4zc) | |
444083ae MW |
398 | // On entry, EDI points to the destination buffer; EBX points to a |
399 | // packed operand X; and EDX points to an expanded operand Y. | |
400 | // | |
401 | // On exit, we write the low 128 bits of the product X Y to [EDI], | |
402 | // and set the carry registers XMM4, XMM5, XMM6 to the carry out. | |
403 | // The registers XMM0, XMM1, XMM2, XMM3, and XMM7 are clobbered; the | |
404 | // general-purpose registers are preserved. | |
0923a413 MW |
405 | endprologue |
406 | ||
444083ae MW |
407 | mulcore [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7 |
408 | propout [edi + 0], xmm4, xmm5 | |
409 | ||
410 | mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, t | |
411 | propout [edi + 4], xmm5, xmm6 | |
412 | ||
413 | mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5, t | |
414 | propout [edi + 8], xmm6, xmm7 | |
415 | ||
416 | mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6, t | |
417 | propout [edi + 12], xmm7, xmm4 | |
418 | ||
419 | ret | |
420 | ||
1a517bb3 MW |
421 | ENDFUNC |
422 | ||
423 | INTFUNC(mul4) | |
444083ae MW |
424 | // On entry, EDI points to the destination buffer; EBX points to a |
425 | // packed operand X; EDX points to an expanded operand Y; and XMM4, | |
426 | // XMM5, XMM6 hold the incoming carry registers c0, c1, and c2, | |
427 | // representing a carry-in C; c3 is assumed to be zero. | |
428 | // | |
429 | // On exit, we write the low 128 bits of the sum C + X Y to [EDI], | |
430 | // and update the carry registers with the carry out. The registers | |
431 | // XMM0, XMM1, XMM2, XMM3, and XMM7 are clobbered; the | |
432 | // general-purpose registers are preserved. | |
0923a413 MW |
433 | endprologue |
434 | ||
444083ae MW |
435 | mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, t |
436 | propout [edi + 0], xmm4, xmm5 | |
437 | ||
438 | mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, t | |
439 | propout [edi + 4], xmm5, xmm6 | |
440 | ||
441 | mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5, t | |
442 | propout [edi + 8], xmm6, xmm7 | |
443 | ||
444 | mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6, t | |
445 | propout [edi + 12], xmm7, xmm4 | |
446 | ||
447 | ret | |
448 | ||
1a517bb3 MW |
449 | ENDFUNC |
450 | ||
451 | INTFUNC(mla4zc) | |
444083ae MW |
452 | // On entry, EDI points to the destination buffer, which also |
453 | // contains an addend A to accumulate; EBX points to a packed operand | |
454 | // X; and EDX points to an expanded operand Y. | |
455 | // | |
456 | // On exit, we write the low 128 bits of the sum A + X Y to [EDI], | |
457 | // and set the carry registers XMM4, XMM5, XMM6 to the carry out. | |
458 | // The registers XMM0, XMM1, XMM2, XMM3, and XMM7 are clobbered; the | |
459 | // general-purpose registers are preserved. | |
0923a413 MW |
460 | endprologue |
461 | ||
444083ae MW |
462 | movd xmm4, [edi + 0] |
463 | movd xmm5, [edi + 4] | |
464 | movd xmm6, [edi + 8] | |
465 | movd xmm7, [edi + 12] | |
466 | ||
467 | mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil | |
468 | propout [edi + 0], xmm4, xmm5 | |
469 | ||
470 | mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, t | |
471 | propout [edi + 4], xmm5, xmm6 | |
472 | ||
473 | mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5, t | |
474 | propout [edi + 8], xmm6, xmm7 | |
475 | ||
476 | mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6, t | |
477 | propout [edi + 12], xmm7, xmm4 | |
478 | ||
479 | ret | |
480 | ||
1a517bb3 MW |
481 | ENDFUNC |
482 | ||
483 | INTFUNC(mla4) | |
444083ae MW |
484 | // On entry, EDI points to the destination buffer, which also |
485 | // contains an addend A to accumulate; EBX points to a packed operand | |
486 | // X; EDX points to an expanded operand Y; and XMM4, XMM5, XMM6 hold | |
487 | // the incoming carry registers c0, c1, and c2, representing a | |
488 | // carry-in C; c3 is assumed to be zero. | |
489 | // | |
490 | // On exit, we write the low 128 bits of the sum A + C + X Y to | |
491 | // [EDI], and update the carry registers with the carry out. The | |
492 | // registers XMM0, XMM1, XMM2, XMM3, and XMM7 are clobbered; the | |
493 | // general-purpose registers are preserved. | |
0923a413 MW |
494 | endprologue |
495 | ||
444083ae MW |
496 | carryadd |
497 | ||
498 | mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil | |
499 | propout [edi + 0], xmm4, xmm5 | |
500 | ||
501 | mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, t | |
502 | propout [edi + 4], xmm5, xmm6 | |
503 | ||
504 | mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5, t | |
505 | propout [edi + 8], xmm6, xmm7 | |
506 | ||
507 | mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6, t | |
508 | propout [edi + 12], xmm7, xmm4 | |
509 | ||
510 | ret | |
511 | ||
1a517bb3 MW |
512 | ENDFUNC |
513 | ||
514 | INTFUNC(mmul4) | |
444083ae MW |
515 | // On entry, EDI points to the destination buffer; EAX and EBX point |
516 | // to the packed operands U and N; ECX and ESI point to the expanded | |
517 | // operands V and M; and EDX points to a place to store an expanded | |
518 | // result Y (32 bytes, at a 16-byte boundary). The stack pointer | |
519 | // must be 16-byte aligned. (This is not the usual convention, which | |
520 | // requires alignment before the call.) | |
521 | // | |
522 | // On exit, we write Y = U V M mod B to [EDX], and the low 128 bits | |
523 | // of the sum U V + N Y to [EDI], leaving the remaining carry in | |
524 | // XMM4, XMM5, and XMM6. The registers XMM0, XMM1, XMM2, XMM3, and | |
525 | // XMM7 are clobbered; the general-purpose registers are preserved. | |
847e1f3e | 526 | stalloc 48 // space for the carries |
0923a413 | 527 | endprologue |
444083ae MW |
528 | |
529 | // Calculate W = U V, and leave it in the destination. Stash the | |
530 | // carry pieces for later. | |
531 | mulcore [eax + 0], ecx, xmm4, xmm5, xmm6, xmm7 | |
532 | propout [edi + 0], xmm4, xmm5 | |
533 | jmp 5f | |
534 | ||
1a517bb3 MW |
535 | ENDFUNC |
536 | ||
537 | INTFUNC(mmla4) | |
444083ae MW |
538 | // On entry, EDI points to the destination buffer, which also |
539 | // contains an addend A to accumulate; EAX and EBX point | |
540 | // to the packed operands U and N; ECX and ESI point to the expanded | |
541 | // operands V and M; and EDX points to a place to store an expanded | |
542 | // result Y (32 bytes, at a 16-byte boundary). The stack pointer | |
543 | // must be 16-byte aligned. (This is not the usual convention, which | |
544 | // requires alignment before the call.) | |
545 | // | |
546 | // On exit, we write Y = (A + U V) M mod B to [EDX], and the low 128 | |
547 | // bits of the sum A + U V + N Y to [EDI], leaving the remaining | |
548 | // carry in XMM4, XMM5, and XMM6. The registers XMM0, XMM1, XMM2, | |
549 | // XMM3, and XMM7 are clobbered; the general-purpose registers are | |
550 | // preserved. | |
847e1f3e | 551 | stalloc 48 // space for the carries |
0923a413 MW |
552 | endprologue |
553 | ||
444083ae MW |
554 | movd xmm4, [edi + 0] |
555 | movd xmm5, [edi + 4] | |
556 | movd xmm6, [edi + 8] | |
557 | movd xmm7, [edi + 12] | |
558 | mulacc [eax + 0], ecx, xmm4, xmm5, xmm6, xmm7, nil | |
559 | propout [edi + 0], xmm4, xmm5 | |
560 | ||
561 | 5: mulacc [eax + 4], ecx, xmm5, xmm6, xmm7, xmm4, t | |
562 | propout [edi + 4], xmm5, xmm6 | |
563 | ||
564 | mulacc [eax + 8], ecx, xmm6, xmm7, xmm4, xmm5, t | |
565 | propout [edi + 8], xmm6, xmm7 | |
566 | ||
567 | mulacc [eax + 12], ecx, xmm7, xmm4, xmm5, xmm6, t | |
568 | propout [edi + 12], xmm7, xmm4 | |
569 | ||
570 | movdqa [esp + 0], xmm4 | |
571 | movdqa [esp + 16], xmm5 | |
572 | movdqa [esp + 32], xmm6 | |
573 | ||
574 | // Calculate Y = W M. | |
575 | mulcore [edi + 0], esi, xmm4, xmm5, xmm6, xmm7 | |
576 | ||
577 | mulcore [edi + 4], esi, xmm0, xmm1, xmm2, nil | |
578 | accum xmm5, xmm6, xmm7, nil | |
579 | ||
580 | mulcore [edi + 8], esi, xmm0, xmm1, nil, nil | |
581 | accum xmm6, xmm7, nil, nil | |
582 | ||
583 | mulcore [edi + 12], esi, xmm0, nil, nil, nil | |
584 | accum xmm7, nil, nil, nil | |
585 | ||
586 | // That's lots of pieces. Now we have to assemble the answer. | |
587 | squash xmm4, xmm5, xmm6, xmm7, nil, xmm0, xmm1 | |
588 | ||
589 | // Expand it. | |
590 | pxor xmm2, xmm2 | |
591 | expand xmm4, xmm1, nil, nil, xmm2 | |
592 | movdqa [edx + 0], xmm4 | |
593 | movdqa [edx + 16], xmm1 | |
594 | ||
595 | // Initialize the carry from the value for W we calculated earlier. | |
596 | movd xmm4, [edi + 0] | |
597 | movd xmm5, [edi + 4] | |
598 | movd xmm6, [edi + 8] | |
599 | movd xmm7, [edi + 12] | |
600 | ||
601 | // Finish the calculation by adding the Montgomery product. | |
602 | mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil | |
603 | propout [edi + 0], xmm4, xmm5 | |
604 | ||
605 | mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, t | |
606 | propout [edi + 4], xmm5, xmm6 | |
607 | ||
608 | mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5, t | |
609 | propout [edi + 8], xmm6, xmm7 | |
610 | ||
611 | mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6, t | |
612 | propout [edi + 12], xmm7, xmm4 | |
613 | ||
614 | // Add add on the carry we calculated earlier. | |
615 | paddq xmm4, [esp + 0] | |
616 | paddq xmm5, [esp + 16] | |
617 | paddq xmm6, [esp + 32] | |
618 | ||
619 | // And, with that, we're done. | |
847e1f3e | 620 | stfree 48 |
444083ae MW |
621 | ret |
622 | ||
1a517bb3 MW |
623 | ENDFUNC |
624 | ||
625 | INTFUNC(mont4) | |
444083ae | 626 | // On entry, EDI points to the destination buffer holding a packed |
8e5386aa | 627 | // value W; EBX points to a packed operand N; ESI points to an |
444083ae MW |
628 | // expanded operand M; and EDX points to a place to store an expanded |
629 | // result Y (32 bytes, at a 16-byte boundary). | |
630 | // | |
631 | // On exit, we write Y = W M mod B to [EDX], and the low 128 bits | |
632 | // of the sum W + N Y to [EDI], leaving the remaining carry in | |
633 | // XMM4, XMM5, and XMM6. The registers XMM0, XMM1, XMM2, XMM3, and | |
634 | // XMM7 are clobbered; the general-purpose registers are preserved. | |
0923a413 | 635 | endprologue |
444083ae MW |
636 | |
637 | // Calculate Y = W M. | |
638 | mulcore [edi + 0], esi, xmm4, xmm5, xmm6, xmm7 | |
639 | ||
640 | mulcore [edi + 4], esi, xmm0, xmm1, xmm2, nil | |
641 | accum xmm5, xmm6, xmm7, nil | |
642 | ||
643 | mulcore [edi + 8], esi, xmm0, xmm1, nil, nil | |
644 | accum xmm6, xmm7, nil, nil | |
645 | ||
646 | mulcore [edi + 12], esi, xmm0, nil, nil, nil | |
647 | accum xmm7, nil, nil, nil | |
648 | ||
649 | // That's lots of pieces. Now we have to assemble the answer. | |
650 | squash xmm4, xmm5, xmm6, xmm7, nil, xmm0, xmm1 | |
651 | ||
652 | // Expand it. | |
653 | pxor xmm2, xmm2 | |
654 | expand xmm4, xmm1, nil, nil, xmm2 | |
655 | movdqa [edx + 0], xmm4 | |
656 | movdqa [edx + 16], xmm1 | |
657 | ||
658 | // Initialize the carry from W. | |
659 | movd xmm4, [edi + 0] | |
660 | movd xmm5, [edi + 4] | |
661 | movd xmm6, [edi + 8] | |
662 | movd xmm7, [edi + 12] | |
663 | ||
664 | // Finish the calculation by adding the Montgomery product. | |
665 | mulacc [ebx + 0], edx, xmm4, xmm5, xmm6, xmm7, nil | |
666 | propout [edi + 0], xmm4, xmm5 | |
667 | ||
668 | mulacc [ebx + 4], edx, xmm5, xmm6, xmm7, xmm4, t | |
669 | propout [edi + 4], xmm5, xmm6 | |
670 | ||
671 | mulacc [ebx + 8], edx, xmm6, xmm7, xmm4, xmm5, t | |
672 | propout [edi + 8], xmm6, xmm7 | |
673 | ||
674 | mulacc [ebx + 12], edx, xmm7, xmm4, xmm5, xmm6, t | |
675 | propout [edi + 12], xmm7, xmm4 | |
676 | ||
677 | // And, with that, we're done. | |
678 | ret | |
679 | ||
1a517bb3 MW |
680 | ENDFUNC |
681 | ||
444083ae MW |
682 | ///-------------------------------------------------------------------------- |
683 | /// Bulk multipliers. | |
684 | ||
685 | FUNC(mpx_umul4_x86_sse2) | |
686 | // void mpx_umul4_x86_sse2(mpw *dv, const mpw *av, const mpw *avl, | |
687 | // const mpw *bv, const mpw *bvl); | |
688 | ||
689 | // Build a stack frame. Arguments will be relative to EBP, as | |
690 | // follows. | |
691 | // | |
692 | // ebp + 20 dv | |
693 | // ebp + 24 av | |
694 | // ebp + 28 avl | |
695 | // ebp + 32 bv | |
696 | // ebp + 36 bvl | |
697 | // | |
698 | // Locals are relative to ESP, as follows. | |
699 | // | |
700 | // esp + 0 expanded Y (32 bytes) | |
701 | // esp + 32 (top of locals) | |
0923a413 MW |
702 | pushreg ebp |
703 | pushreg ebx | |
704 | pushreg esi | |
705 | pushreg edi | |
706 | setfp ebp | |
444083ae MW |
707 | and esp, ~15 |
708 | sub esp, 32 | |
0923a413 | 709 | endprologue |
444083ae MW |
710 | |
711 | // Prepare for the first iteration. | |
712 | mov esi, [ebp + 32] // -> bv[0] | |
713 | pxor xmm7, xmm7 | |
714 | movdqu xmm0, [esi] // bv[0] | |
715 | mov edi, [ebp + 20] // -> dv[0] | |
716 | mov ecx, edi // outer loop dv cursor | |
717 | expand xmm0, xmm1, nil, nil, xmm7 | |
718 | mov ebx, [ebp + 24] // -> av[0] | |
719 | mov eax, [ebp + 28] // -> av[m] = av limit | |
720 | mov edx, esp // -> expanded Y = bv[0] | |
721 | movdqa [esp + 0], xmm0 // bv[0] expanded low | |
722 | movdqa [esp + 16], xmm1 // bv[0] expanded high | |
723 | call mul4zc | |
724 | add ebx, 16 | |
725 | add edi, 16 | |
726 | add ecx, 16 | |
727 | add esi, 16 | |
728 | cmp ebx, eax // all done? | |
729 | jae 8f | |
730 | ||
731 | .p2align 4 | |
732 | // Continue with the first iteration. | |
733 | 0: call mul4 | |
734 | add ebx, 16 | |
735 | add edi, 16 | |
736 | cmp ebx, eax // all done? | |
737 | jb 0b | |
738 | ||
739 | // Write out the leftover carry. There can be no tail here. | |
740 | 8: call carryprop | |
741 | cmp esi, [ebp + 36] // more passes to do? | |
742 | jae 9f | |
743 | ||
744 | .p2align 4 | |
745 | // Set up for the next pass. | |
746 | 1: movdqu xmm0, [esi] // bv[i] | |
747 | mov edi, ecx // -> dv[i] | |
748 | pxor xmm7, xmm7 | |
749 | expand xmm0, xmm1, nil, nil, xmm7 | |
750 | mov ebx, [ebp + 24] // -> av[0] | |
751 | movdqa [esp + 0], xmm0 // bv[i] expanded low | |
752 | movdqa [esp + 16], xmm1 // bv[i] expanded high | |
753 | call mla4zc | |
754 | add edi, 16 | |
755 | add ebx, 16 | |
756 | add ecx, 16 | |
757 | add esi, 16 | |
758 | cmp ebx, eax // done yet? | |
759 | jae 8f | |
760 | ||
761 | .p2align 4 | |
762 | // Continue... | |
763 | 0: call mla4 | |
764 | add ebx, 16 | |
765 | add edi, 16 | |
766 | cmp ebx, eax | |
767 | jb 0b | |
768 | ||
769 | // Finish off this pass. There was no tail on the previous pass, and | |
770 | // there can be none on this pass. | |
771 | 8: call carryprop | |
772 | cmp esi, [ebp + 36] | |
773 | jb 1b | |
774 | ||
775 | // All over. | |
0923a413 | 776 | 9: dropfp |
444083ae MW |
777 | pop edi |
778 | pop esi | |
779 | pop ebx | |
780 | pop ebp | |
781 | ret | |
782 | ||
783 | ENDFUNC | |
784 | ||
785 | FUNC(mpxmont_mul4_x86_sse2) | |
786 | // void mpxmont_mul4_x86_sse2(mpw *dv, const mpw *av, const mpw *bv, | |
787 | // const mpw *nv, size_t n, const mpw *mi); | |
788 | ||
789 | // Build a stack frame. Arguments will be relative to EBP, as | |
790 | // follows. | |
791 | // | |
792 | // ebp + 20 dv | |
793 | // ebp + 24 av | |
794 | // ebp + 28 bv | |
795 | // ebp + 32 nv | |
796 | // ebp + 36 n (nonzero multiple of 4) | |
797 | // ebp + 40 mi | |
798 | // | |
799 | // Locals are relative to ESP, which is 4 mod 16, as follows. | |
800 | // | |
801 | // esp + 0 outer loop dv | |
802 | // esp + 4 outer loop bv | |
803 | // esp + 8 av limit (mostly in ESI) | |
804 | // esp + 12 expanded V (32 bytes) | |
805 | // esp + 44 expanded M (32 bytes) | |
806 | // esp + 76 expanded Y (32 bytes) | |
807 | // esp + 108 bv limit | |
808 | // esp + 112 (gap) | |
809 | // esp + 124 (top of locals) | |
0923a413 MW |
810 | pushreg ebp |
811 | pushreg ebx | |
812 | pushreg esi | |
813 | pushreg edi | |
814 | setfp ebp | |
444083ae MW |
815 | and esp, ~15 |
816 | sub esp, 124 | |
0923a413 | 817 | endprologue |
444083ae MW |
818 | |
819 | // Establish the expanded operands. | |
820 | pxor xmm7, xmm7 | |
821 | mov ecx, [ebp + 28] // -> bv | |
822 | mov edx, [ebp + 40] // -> mi | |
823 | movdqu xmm0, [ecx] // bv[0] | |
824 | movdqu xmm2, [edx] // mi | |
825 | expand xmm0, xmm1, xmm2, xmm3, xmm7 | |
826 | movdqa [esp + 12], xmm0 // bv[0] expanded low | |
827 | movdqa [esp + 28], xmm1 // bv[0] expanded high | |
828 | movdqa [esp + 44], xmm2 // mi expanded low | |
829 | movdqa [esp + 60], xmm3 // mi expanded high | |
830 | ||
831 | // Set up the outer loop state and prepare for the first iteration. | |
832 | mov edx, [ebp + 36] // n | |
833 | mov eax, [ebp + 24] // -> U = av[0] | |
834 | mov ebx, [ebp + 32] // -> X = nv[0] | |
835 | mov edi, [ebp + 20] // -> Z = dv[0] | |
836 | mov [esp + 4], ecx | |
837 | lea ecx, [ecx + 4*edx] // -> bv[n/4] = bv limit | |
838 | lea edx, [eax + 4*edx] // -> av[n/4] = av limit | |
839 | mov [esp + 0], edi | |
840 | mov [esp + 108], ecx | |
841 | mov [esp + 8], edx | |
842 | lea ecx, [esp + 12] // -> expanded V = bv[0] | |
843 | lea esi, [esp + 44] // -> expanded M = mi | |
844 | lea edx, [esp + 76] // -> space for Y | |
845 | call mmul4 | |
846 | mov esi, [esp + 8] // recover av limit | |
847 | add edi, 16 | |
848 | add eax, 16 | |
849 | add ebx, 16 | |
850 | cmp eax, esi // done already? | |
851 | jae 8f | |
852 | mov [esp + 0], edi | |
853 | ||
854 | .p2align 4 | |
855 | // Complete the first inner loop. | |
856 | 0: call dmul4 | |
857 | add edi, 16 | |
858 | add eax, 16 | |
859 | add ebx, 16 | |
860 | cmp eax, esi // done yet? | |
861 | jb 0b | |
862 | ||
863 | // Still have carries left to propagate. | |
864 | call carryprop | |
865 | movd [edi + 16], xmm4 | |
866 | ||
867 | .p2align 4 | |
868 | // Embark on the next iteration. (There must be one. If n = 1, then | |
869 | // we would have bailed above, to label 8. Similarly, the subsequent | |
870 | // iterations can fall into the inner loop immediately.) | |
871 | 1: mov eax, [esp + 4] // -> bv[i - 1] | |
872 | mov edi, [esp + 0] // -> Z = dv[i] | |
873 | add eax, 16 // -> bv[i] | |
874 | pxor xmm7, xmm7 | |
875 | movdqu xmm0, [eax] // bv[i] | |
876 | mov [esp + 4], eax | |
877 | cmp eax, [esp + 108] // done yet? | |
878 | jae 9f | |
879 | mov ebx, [ebp + 32] // -> X = nv[0] | |
880 | lea esi, [esp + 44] // -> expanded M = mi | |
881 | mov eax, [ebp + 24] // -> U = av[0] | |
882 | expand xmm0, xmm1, nil, nil, xmm7 | |
883 | movdqa [esp + 12], xmm0 // bv[i] expanded low | |
884 | movdqa [esp + 28], xmm1 // bv[i] expanded high | |
885 | call mmla4 | |
886 | mov esi, [esp + 8] // recover av limit | |
887 | add edi, 16 | |
888 | add eax, 16 | |
889 | add ebx, 16 | |
890 | mov [esp + 0], edi | |
891 | ||
892 | .p2align 4 | |
893 | // Complete the next inner loop. | |
894 | 0: call dmla4 | |
895 | add edi, 16 | |
896 | add eax, 16 | |
897 | add ebx, 16 | |
898 | cmp eax, esi | |
899 | jb 0b | |
900 | ||
901 | // Still have carries left to propagate, and they overlap the | |
902 | // previous iteration's final tail, so read that in and add it. | |
903 | movd xmm0, [edi] | |
904 | paddq xmm4, xmm0 | |
905 | call carryprop | |
906 | movd [edi + 16], xmm4 | |
907 | ||
908 | // Back again. | |
909 | jmp 1b | |
910 | ||
911 | // First iteration was short. Write out the carries and we're done. | |
912 | // (This could be folded into the main loop structure, but that would | |
913 | // penalize small numbers more.) | |
914 | 8: call carryprop | |
915 | movd [edi + 16], xmm4 | |
916 | ||
917 | // All done. | |
0923a413 MW |
918 | 9: dropfp |
919 | popreg edi | |
920 | popreg esi | |
921 | popreg ebx | |
922 | popreg ebp | |
444083ae MW |
923 | ret |
924 | ||
925 | ENDFUNC | |
926 | ||
927 | FUNC(mpxmont_redc4_x86_sse2) | |
928 | // void mpxmont_redc4_x86_sse2(mpw *dv, mpw *dvl, const mpw *nv, | |
929 | // size_t n, const mpw *mi); | |
930 | ||
931 | // Build a stack frame. Arguments will be relative to EBP, as | |
932 | // follows. | |
933 | // | |
934 | // ebp + 20 dv | |
935 | // ebp + 24 dvl | |
936 | // ebp + 28 nv | |
937 | // ebp + 32 n (nonzero multiple of 4) | |
938 | // ebp + 36 mi | |
939 | // | |
940 | // Locals are relative to ESP, as follows. | |
941 | // | |
942 | // esp + 0 outer loop dv | |
943 | // esp + 4 outer dv limit | |
944 | // esp + 8 blocks-of-4 dv limit | |
945 | // esp + 12 expanded M (32 bytes) | |
946 | // esp + 44 expanded Y (32 bytes) | |
947 | // esp + 76 (top of locals) | |
0923a413 MW |
948 | pushreg ebp |
949 | pushreg ebx | |
950 | pushreg esi | |
951 | pushreg edi | |
952 | setfp ebp | |
444083ae MW |
953 | and esp, ~15 |
954 | sub esp, 76 | |
0923a413 | 955 | endprologue |
444083ae MW |
956 | |
957 | // Establish the expanded operands and the blocks-of-4 dv limit. | |
958 | mov edi, [ebp + 20] // -> Z = dv[0] | |
959 | pxor xmm7, xmm7 | |
960 | mov eax, [ebp + 24] // -> dv[n] = dv limit | |
961 | sub eax, edi // length of dv in bytes | |
962 | mov edx, [ebp + 36] // -> mi | |
963 | movdqu xmm0, [edx] // mi | |
964 | and eax, ~15 // mask off the tail end | |
965 | expand xmm0, xmm1, nil, nil, xmm7 | |
966 | add eax, edi // find limit | |
967 | movdqa [esp + 12], xmm0 // mi expanded low | |
968 | movdqa [esp + 28], xmm1 // mi expanded high | |
969 | mov [esp + 8], eax | |
970 | ||
971 | // Set up the outer loop state and prepare for the first iteration. | |
972 | mov ecx, [ebp + 32] // n | |
973 | mov ebx, [ebp + 28] // -> X = nv[0] | |
974 | lea edx, [edi + 4*ecx] // -> dv[n/4] = outer dv limit | |
975 | lea ecx, [ebx + 4*ecx] // -> nv[n/4] = nv limit | |
976 | mov [esp + 0], edi | |
977 | mov [esp + 4], edx | |
978 | lea esi, [esp + 12] // -> expanded M = mi | |
979 | lea edx, [esp + 44] // -> space for Y | |
980 | call mont4 | |
981 | add edi, 16 | |
982 | add ebx, 16 | |
983 | cmp ebx, ecx // done already? | |
984 | jae 8f | |
985 | ||
986 | .p2align 4 | |
987 | // Complete the first inner loop. | |
988 | 5: call mla4 | |
989 | add ebx, 16 | |
990 | add edi, 16 | |
991 | cmp ebx, ecx // done yet? | |
992 | jb 5b | |
993 | ||
994 | // Still have carries left to propagate. | |
995 | 8: carryadd | |
996 | mov esi, [esp + 8] // -> dv blocks limit | |
997 | mov edx, [ebp + 24] // dv limit | |
998 | psllq xmm7, 16 | |
999 | pslldq xmm7, 8 | |
1000 | paddq xmm6, xmm7 | |
1001 | call carryprop | |
1002 | movd eax, xmm4 | |
1003 | add edi, 16 | |
1004 | cmp edi, esi | |
1005 | jae 7f | |
1006 | ||
1007 | .p2align 4 | |
1008 | // Continue carry propagation until the end of the buffer. | |
1009 | 0: add [edi], eax | |
1010 | mov eax, 0 // preserves flags | |
1011 | adcd [edi + 4], 0 | |
1012 | adcd [edi + 8], 0 | |
1013 | adcd [edi + 12], 0 | |
1014 | adc eax, 0 | |
1015 | add edi, 16 | |
1016 | cmp edi, esi | |
1017 | jb 0b | |
1018 | ||
1019 | // Deal with the tail end. | |
1020 | 7: add [edi], eax | |
1021 | mov eax, 0 // preserves flags | |
1022 | add edi, 4 | |
1023 | adc eax, 0 | |
1024 | cmp edi, edx | |
1025 | jb 7b | |
1026 | ||
1027 | // All done for this iteration. Start the next. (This must have at | |
1028 | // least one follow-on iteration, or we'd not have started this outer | |
1029 | // loop.) | |
1030 | 8: mov edi, [esp + 0] // -> dv[i - 1] | |
1031 | mov ebx, [ebp + 28] // -> X = nv[0] | |
1032 | lea edx, [esp + 44] // -> space for Y | |
1033 | lea esi, [esp + 12] // -> expanded M = mi | |
1034 | add edi, 16 // -> Z = dv[i] | |
1035 | cmp edi, [esp + 4] // all done yet? | |
1036 | jae 9f | |
1037 | mov [esp + 0], edi | |
1038 | call mont4 | |
1039 | add edi, 16 | |
1040 | add ebx, 16 | |
1041 | jmp 5b | |
1042 | ||
1043 | // All over. | |
0923a413 MW |
1044 | 9: dropfp |
1045 | popreg edi | |
1046 | popreg esi | |
1047 | popreg ebx | |
1048 | popreg ebp | |
444083ae MW |
1049 | ret |
1050 | ||
1051 | ENDFUNC | |
1052 | ||
1053 | ///-------------------------------------------------------------------------- | |
1054 | /// Testing and performance measurement. | |
1055 | ||
1056 | #ifdef TEST_MUL4 | |
1057 | ||
1058 | .macro cysetup c | |
1059 | rdtsc | |
1060 | mov [\c], eax | |
1061 | mov [\c + 4], edx | |
1062 | .endm | |
1063 | ||
1064 | .macro cystore c, v, n | |
1065 | rdtsc | |
1066 | sub eax, [\c] | |
1067 | sbb edx, [\c + 4] | |
1068 | mov ebx, [\v] | |
1069 | mov ecx, [\n] | |
1070 | dec ecx | |
1071 | mov [\n], ecx | |
1072 | mov [ebx + ecx*8], eax | |
1073 | mov [ebx + ecx*8 + 4], edx | |
1074 | .endm | |
1075 | ||
1076 | .macro testprologue | |
0923a413 MW |
1077 | pushreg ebp |
1078 | pushreg ebx | |
1079 | pushreg esi | |
1080 | pushreg edi | |
1081 | setfp ebp | |
444083ae MW |
1082 | and esp, ~15 |
1083 | sub esp, 3*32 + 12 | |
0923a413 | 1084 | endprologue |
444083ae MW |
1085 | // vars: |
1086 | // esp + 0 = cycles | |
1087 | // esp + 12 = v expanded | |
1088 | // esp + 44 = y expanded | |
1089 | // esp + 72 = ? expanded | |
1090 | .endm | |
1091 | ||
1092 | .macro testepilogue | |
0923a413 MW |
1093 | dropfp |
1094 | popreg edi | |
1095 | popreg esi | |
1096 | popreg ebx | |
1097 | popreg ebp | |
444083ae MW |
1098 | ret |
1099 | .endm | |
1100 | ||
1101 | .macro testldcarry c | |
1102 | mov ecx, \c // -> c | |
1103 | movdqu xmm4, [ecx + 0] // (c'_0, c''_0) | |
1104 | movdqu xmm5, [ecx + 16] // (c'_1, c''_1) | |
1105 | movdqu xmm6, [ecx + 32] // (c'_2, c''_2) | |
1106 | .endm | |
1107 | ||
1108 | .macro testexpand v, y | |
1109 | pxor xmm7, xmm7 | |
1110 | .ifnes "\v", "nil" | |
1111 | mov ecx, \v | |
1112 | movdqu xmm0, [ecx] | |
1113 | expand xmm0, xmm1, nil, nil, xmm7 | |
1114 | movdqa [esp + 12], xmm0 | |
1115 | movdqa [esp + 28], xmm1 | |
1116 | .endif | |
1117 | .ifnes "\y", "nil" | |
1118 | mov edx, \y | |
1119 | movdqu xmm2, [edx] | |
1120 | expand xmm2, xmm3, nil, nil, xmm7 | |
1121 | movdqa [esp + 44], xmm2 | |
1122 | movdqa [esp + 60], xmm3 | |
1123 | .endif | |
1124 | .endm | |
1125 | ||
1126 | .macro testtop u, x, mode | |
1127 | .p2align 4 | |
1128 | 0: | |
1129 | .ifnes "\u", "nil" | |
1130 | lea ecx, [esp + 12] | |
1131 | .endif | |
1132 | mov ebx, \x | |
1133 | .ifeqs "\mode", "mont" | |
1134 | lea esi, [esp + 44] | |
1135 | .endif | |
1136 | cysetup esp + 0 | |
1137 | .ifnes "\u", "nil" | |
1138 | mov eax, \u | |
1139 | .endif | |
1140 | .ifeqs "\mode", "mont" | |
1141 | lea edx, [esp + 76] | |
1142 | .else | |
1143 | lea edx, [esp + 44] | |
1144 | .endif | |
1145 | .endm | |
1146 | ||
1147 | .macro testtail cyv, n | |
1148 | cystore esp + 0, \cyv, \n | |
1149 | jnz 0b | |
1150 | .endm | |
1151 | ||
1152 | .macro testcarryout c | |
1153 | mov ecx, \c | |
1154 | movdqu [ecx + 0], xmm4 | |
1155 | movdqu [ecx + 16], xmm5 | |
1156 | movdqu [ecx + 32], xmm6 | |
1157 | .endm | |
1158 | ||
0923a413 | 1159 | FUNC(test_dmul4) |
444083ae MW |
1160 | testprologue |
1161 | testldcarry [ebp + 24] | |
1162 | testexpand [ebp + 36], [ebp + 40] | |
1163 | mov edi, [ebp + 20] | |
1164 | testtop [ebp + 28], [ebp + 32] | |
1165 | call dmul4 | |
1166 | testtail [ebp + 48], [ebp + 44] | |
1167 | testcarryout [ebp + 24] | |
1168 | testepilogue | |
0923a413 | 1169 | ENDFUNC |
444083ae | 1170 | |
0923a413 | 1171 | FUNC(test_dmla4) |
444083ae MW |
1172 | testprologue |
1173 | testldcarry [ebp + 24] | |
1174 | testexpand [ebp + 36], [ebp + 40] | |
1175 | mov edi, [ebp + 20] | |
1176 | testtop [ebp + 28], [ebp + 32] | |
1177 | call dmla4 | |
1178 | testtail [ebp + 48], [ebp + 44] | |
1179 | testcarryout [ebp + 24] | |
1180 | testepilogue | |
0923a413 | 1181 | ENDFUNC |
444083ae | 1182 | |
0923a413 | 1183 | FUNC(test_mul4) |
444083ae MW |
1184 | testprologue |
1185 | testldcarry [ebp + 24] | |
1186 | testexpand nil, [ebp + 32] | |
1187 | mov edi, [ebp + 20] | |
1188 | testtop nil, [ebp + 28] | |
1189 | call mul4 | |
1190 | testtail [ebp + 40], [ebp + 36] | |
1191 | testcarryout [ebp + 24] | |
1192 | testepilogue | |
0923a413 | 1193 | ENDFUNC |
444083ae | 1194 | |
0923a413 | 1195 | FUNC(test_mla4) |
444083ae MW |
1196 | testprologue |
1197 | testldcarry [ebp + 24] | |
1198 | testexpand nil, [ebp + 32] | |
1199 | mov edi, [ebp + 20] | |
1200 | testtop nil, [ebp + 28] | |
1201 | call mla4 | |
1202 | testtail [ebp + 40], [ebp + 36] | |
1203 | testcarryout [ebp + 24] | |
1204 | testepilogue | |
0923a413 | 1205 | ENDFUNC |
444083ae | 1206 | |
0923a413 | 1207 | FUNC(test_mmul4) |
444083ae MW |
1208 | testprologue |
1209 | testexpand [ebp + 40], [ebp + 44] | |
1210 | mov edi, [ebp + 20] | |
1211 | testtop [ebp + 32], [ebp + 36], mont | |
1212 | call mmul4 | |
1213 | testtail [ebp + 52], [ebp + 48] | |
1214 | mov edi, [ebp + 28] | |
1215 | movdqa xmm0, [esp + 76] | |
1216 | movdqa xmm1, [esp + 92] | |
1217 | movdqu [edi], xmm0 | |
1218 | movdqu [edi + 16], xmm1 | |
1219 | testcarryout [ebp + 24] | |
1220 | testepilogue | |
0923a413 | 1221 | ENDFUNC |
444083ae | 1222 | |
0923a413 | 1223 | FUNC(test_mmla4) |
444083ae MW |
1224 | testprologue |
1225 | testexpand [ebp + 40], [ebp + 44] | |
1226 | mov edi, [ebp + 20] | |
1227 | testtop [ebp + 32], [ebp + 36], mont | |
1228 | call mmla4 | |
1229 | testtail [ebp + 52], [ebp + 48] | |
1230 | mov edi, [ebp + 28] | |
1231 | movdqa xmm0, [esp + 76] | |
1232 | movdqa xmm1, [esp + 92] | |
1233 | movdqu [edi], xmm0 | |
1234 | movdqu [edi + 16], xmm1 | |
1235 | testcarryout [ebp + 24] | |
1236 | testepilogue | |
0923a413 | 1237 | ENDFUNC |
444083ae | 1238 | |
0923a413 | 1239 | FUNC(test_mont4) |
444083ae MW |
1240 | testprologue |
1241 | testexpand nil, [ebp + 36] | |
1242 | mov edi, [ebp + 20] | |
1243 | testtop nil, [ebp + 32], mont | |
1244 | call mont4 | |
1245 | testtail [ebp + 44], [ebp + 40] | |
1246 | mov edi, [ebp + 28] | |
1247 | movdqa xmm0, [esp + 76] | |
1248 | movdqa xmm1, [esp + 92] | |
1249 | movdqu [edi], xmm0 | |
1250 | movdqu [edi + 16], xmm1 | |
1251 | testcarryout [ebp + 24] | |
1252 | testepilogue | |
0923a413 | 1253 | ENDFUNC |
444083ae MW |
1254 | |
1255 | #endif | |
1256 | ||
1257 | ///----- That's all, folks -------------------------------------------------- |