impys.S revision 1.1 1 1.1 fredette /* $NetBSD: impys.S,v 1.1 2002/06/05 01:04:25 fredette Exp $ */
2 1.1 fredette
3 1.1 fredette /* $OpenBSD: impys.S,v 1.5 2001/03/29 03:58:18 mickey Exp $ */
4 1.1 fredette
5 1.1 fredette /*
6 1.1 fredette * Copyright 1996 1995 by Open Software Foundation, Inc.
7 1.1 fredette * All Rights Reserved
8 1.1 fredette *
9 1.1 fredette * Permission to use, copy, modify, and distribute this software and
10 1.1 fredette * its documentation for any purpose and without fee is hereby granted,
11 1.1 fredette * provided that the above copyright notice appears in all copies and
12 1.1 fredette * that both the copyright notice and this permission notice appear in
13 1.1 fredette * supporting documentation.
14 1.1 fredette *
15 1.1 fredette * OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE
16 1.1 fredette * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
17 1.1 fredette * FOR A PARTICULAR PURPOSE.
18 1.1 fredette *
19 1.1 fredette * IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR
20 1.1 fredette * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
21 1.1 fredette * LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT,
22 1.1 fredette * NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
23 1.1 fredette * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
24 1.1 fredette *
25 1.1 fredette */
26 1.1 fredette /*
27 1.1 fredette * pmk1.1
28 1.1 fredette */
29 1.1 fredette /*
30 1.1 fredette * (c) Copyright 1986 HEWLETT-PACKARD COMPANY
31 1.1 fredette *
32 1.1 fredette * To anyone who acknowledges that this file is provided "AS IS"
33 1.1 fredette * without any express or implied warranty:
34 1.1 fredette * permission to use, copy, modify, and distribute this file
35 1.1 fredette * for any purpose is hereby granted without fee, provided that
36 1.1 fredette * the above copyright notice and this notice appears in all
37 1.1 fredette * copies, and that the name of Hewlett-Packard Company not be
38 1.1 fredette * used in advertising or publicity pertaining to distribution
39 1.1 fredette * of the software without specific, written prior permission.
40 1.1 fredette * Hewlett-Packard Company makes no representations about the
41 1.1 fredette * suitability of this software for any purpose.
42 1.1 fredette */
43 1.1 fredette
44 1.1 fredette #include <machine/asm.h>
45 1.1 fredette
46 1.1 fredette /****************************************************************************
47 1.1 fredette *
48 1.1 fredette * Implement an integer multiply routine for 32-bit operands and 64-bit product
49 1.1 fredette * with operand values of zero (multiplicand only) and -2**31 treated specially.
50 1.1 fredette * The algorithm uses the absolute value of the multiplier, four bits at a time,
51 1.1 fredette * from right to left, to generate partial product. Execution speed is more
52 1.1 fredette * important than program size in this implementation.
53 1.1 fredette *
54 1.1 fredette ***************************************************************************/
55 1.1 fredette /*
56 1.1 fredette * Definitions - General registers
57 1.1 fredette */
58 1.1 fredette gr0 .equ 0 /* General register zero */
59 1.1 fredette pu .equ 3 /* upper part of product */
60 1.1 fredette pl .equ 4 /* lower part of product */
61 1.1 fredette op2 .equ 4 /* multiplier */
62 1.1 fredette op1 .equ 5 /* multiplicand */
63 1.1 fredette cnt .equ 6 /* count in multiply */
64 1.1 fredette brindex .equ 7 /* index into the br. table */
65 1.1 fredette sign .equ 8 /* sign of product */
66 1.1 fredette pc .equ 9 /* carry bit of product, = 00...01 */
67 1.1 fredette pm .equ 10 /* value of -1 used in shifting */
68 1.1 fredette
69 1.1 fredette .text
70 1.1 fredette
71 1.1 fredette ENTRY(impys,32)
72 1.1 fredette stws,ma pu,4(sp) ; save registers on stack
73 1.1 fredette stws,ma pl,4(sp) ; save registers on stack
74 1.1 fredette stws,ma op1,4(sp) ; save registers on stack
75 1.1 fredette stws,ma cnt,4(sp) ; save registers on stack
76 1.1 fredette stws,ma brindex,4(sp) ; save registers on stack
77 1.1 fredette stws,ma sign,4(sp) ; save registers on stack
78 1.1 fredette stws,ma pc,4(sp) ; save registers on stack
79 1.1 fredette stws,ma pm,4(sp) ; save registers on stack
80 1.1 fredette ;
81 1.1 fredette ; Start multiply process
82 1.1 fredette ;
83 1.1 fredette ldws 0(arg1),op2 ; get multiplier
84 1.1 fredette ldws 0(arg0),op1 ; get multiplicand
85 1.1 fredette addi -1,gr0,pm ; initialize pm to 111...1
86 1.1 fredette comb,< op2,gr0,mpyb ; br. if multiplier < 0
87 1.1 fredette xor op2,op1,sign ; sign(0) = sign of product
88 1.1 fredette mpy1 comb,< op1,gr0,mpya ; br. if multiplicand < 0
89 1.1 fredette addi 0,gr0,pu ; clear product
90 1.1 fredette addib,= 0,op1,fini0 ; op1 = 0, product = 0
91 1.1 fredette mpy2 addi 1,gr0,pc ; initialize pc to 00...01
92 1.1 fredette movib,tr 8,cnt,mloop ; set count for mpy loop
93 1.1 fredette extru op2,31,4,brindex ; 4 bits as index into table
94 1.1 fredette ;
95 1.1 fredette .align 8
96 1.1 fredette ;
97 1.1 fredette b sh4c ; br. if sign overflow
98 1.1 fredette sh4n shd pu,pl,4,pl ; shift product right 4 bits
99 1.1 fredette addib,<= -1,cnt,mulend ; reduce count by 1, exit if
100 1.1 fredette extru pu,27,28,pu ; <= zero
101 1.1 fredette ;
102 1.1 fredette mloop blr brindex,gr0 ; br. into table
103 1.1 fredette ; entries of 2 words
104 1.1 fredette extru op2,27,4,brindex ; next 4 bits into index
105 1.1 fredette ;
106 1.1 fredette ;
107 1.1 fredette ; branch table for the multiplication process with four multiplier bits
108 1.1 fredette ;
109 1.1 fredette mtable ; two words per entry
110 1.1 fredette ;
111 1.1 fredette ; ---- bits = 0000 ---- shift product 4 bits -------------------------------
112 1.1 fredette ;
113 1.1 fredette b sh4n+4 ; just shift partial
114 1.1 fredette shd pu,pl,4,pl ; product right 4 bits
115 1.1 fredette ;
116 1.1 fredette ; ---- bits = 0001 ---- add op1, then shift 4 bits
117 1.1 fredette ;
118 1.1 fredette addb,tr op1,pu,sh4n+4 ; add op1 to product, to shift
119 1.1 fredette shd pu,pl,4,pl ; product right 4 bits
120 1.1 fredette ;
121 1.1 fredette ; ---- bits = 0010 ---- add op1, add op1, then shift 4 bits
122 1.1 fredette ;
123 1.1 fredette addb,tr op1,pu,sh4n ; add 2*op1, to shift
124 1.1 fredette addb,uv op1,pu,sh4c ; product right 4 bits
125 1.1 fredette ;
126 1.1 fredette ; ---- bits = 0011 ---- add op1, add 2*op1, shift 4 bits
127 1.1 fredette ;
128 1.1 fredette addb,tr op1,pu,sh4n-4 ; add op1 & 2*op1, shift
129 1.1 fredette sh1add,nsv op1,pu,pu ; product right 4 bits
130 1.1 fredette ;
131 1.1 fredette ; ---- bits = 0100 ---- shift 2, add op1, shift 2
132 1.1 fredette ;
133 1.1 fredette b sh2sa
134 1.1 fredette shd pu,pl,2,pl ; shift product 2 bits
135 1.1 fredette ;
136 1.1 fredette ; ---- bits = 0101 ---- add op1, shift 2, add op1, and shift 2 again
137 1.1 fredette ;
138 1.1 fredette addb,tr op1,pu,sh2us ; add op1 to product
139 1.1 fredette shd pu,pl,2,pl ; shift 2 bits
140 1.1 fredette ;
141 1.1 fredette ; ---- bits = 0110 ---- add op1, add op1, shift 2, add op1, and shift 2 again
142 1.1 fredette ;
143 1.1 fredette addb,tr op1,pu,sh2c ; add 2*op1, to shift 2 bits
144 1.1 fredette addb,nuv op1,pu,sh2us ; br. if not overflow
145 1.1 fredette ;
146 1.1 fredette ; ---- bits = 0111 ---- subtract op1, shift 3, add op1, and shift 1
147 1.1 fredette ;
148 1.1 fredette b sh3s
149 1.1 fredette sub pu,op1,pu ; subtract op1, br. to sh3s
150 1.1 fredette
151 1.1 fredette ;
152 1.1 fredette ; ---- bits = 1000 ---- shift 3, add op1, shift 1
153 1.1 fredette ;
154 1.1 fredette b sh3sa
155 1.1 fredette shd pu,pl,3,pl ; shift product right 3 bits
156 1.1 fredette ;
157 1.1 fredette ; ---- bits = 1001 ---- add op1, shift 3, add op1, shift 1
158 1.1 fredette ;
159 1.1 fredette addb,tr op1,pu,sh3us ; add op1, to shift 3, add op1,
160 1.1 fredette shd pu,pl,3,pl ; and shift 1
161 1.1 fredette ;
162 1.1 fredette ; ---- bits = 1010 ---- add op1, add op1, shift 3, add op1, shift 1
163 1.1 fredette ;
164 1.1 fredette addb,tr op1,pu,sh3c ; add 2*op1, to shift 3 bits
165 1.1 fredette addb,nuv op1,pu,sh3us ; br. if no overflow
166 1.1 fredette ;
167 1.1 fredette ; ---- bits = 1011 ---- add -op1, shift 2, add -op1, shift 2, inc. next index
168 1.1 fredette ;
169 1.1 fredette addib,tr 1,brindex,sh2s ; add 1 to index, subtract op1,
170 1.1 fredette sub pu,op1,pu ; shift 2 with minus sign
171 1.1 fredette ;
172 1.1 fredette ; ---- bits = 1100 ---- shift 2, subtract op1, shift 2, increment next index
173 1.1 fredette ;
174 1.1 fredette addib,tr 1,brindex,sh2sb ; add 1 to index, to shift
175 1.1 fredette shd pu,pl,2,pl ; shift right 2 bits signed
176 1.1 fredette ;
177 1.1 fredette ; ---- bits = 1101 ---- add op1, shift 2, add -op1, shift 2
178 1.1 fredette ;
179 1.1 fredette addb,tr op1,pu,sh2ns ; add op1, to shift 2
180 1.1 fredette shd pu,pl,2,pl ; right 2 unsigned, etc.
181 1.1 fredette ;
182 1.1 fredette ; ---- bits = 1110 ---- shift 1 signed, add -op1, shift 3 signed
183 1.1 fredette ;
184 1.1 fredette addib,tr 1,brindex,sh1sa ; add 1 to index, to shift
185 1.1 fredette shd pu,pl,1,pl ; shift 1 bit
186 1.1 fredette ;
187 1.1 fredette ; ---- bits = 1111 ---- add -op1, shift 4 signed
188 1.1 fredette ;
189 1.1 fredette addib,tr 1,brindex,sh4s ; add 1 to index, subtract op1,
190 1.1 fredette sub pu,op1,pu ; to shift 4 signed
191 1.1 fredette
192 1.1 fredette ;
193 1.1 fredette ; ---- bits = 10000 ---- shift 4 signed
194 1.1 fredette ;
195 1.1 fredette addib,tr 1,brindex,sh4s+4 ; add 1 to index
196 1.1 fredette shd pu,pl,4,pl ; shift 4 signed
197 1.1 fredette ;
198 1.1 fredette ; ---- end of table ---------------------------------------------------------
199 1.1 fredette ;
200 1.1 fredette sh4s shd pu,pl,4,pl
201 1.1 fredette addib,tr -1,cnt,mloop ; loop (count > 0 always here)
202 1.1 fredette shd pm,pu,4,pu ; shift 4, minus signed
203 1.1 fredette ;
204 1.1 fredette sh4c addib,> -1,cnt,mloop ; decrement count, loop if > 0
205 1.1 fredette shd pc,pu,4,pu ; shift 4 with overflow
206 1.1 fredette b signs ; end of multiply
207 1.1 fredette bb,>=,n sign,0,fini ; test sign of procduct
208 1.1 fredette ;
209 1.1 fredette mpyb add,= op2,op2,gr0 ; if <> 0, back to main sect.
210 1.1 fredette b mpy1
211 1.1 fredette sub 0,op2,op2 ; op2 = |multiplier|
212 1.1 fredette add,>= op1,gr0,gr0 ; if op1 < 0, invert sign,
213 1.1 fredette xor pm,sign,sign ; for correct result
214 1.1 fredette ;
215 1.1 fredette ; special case for multiplier = -2**31, op1 = signed multiplicand
216 1.1 fredette ; or multiplicand = -2**31, op1 = signed multiplier
217 1.1 fredette ;
218 1.1 fredette shd op1,0,1,pl ; shift op1 left 31 bits
219 1.1 fredette mmax extrs op1,30,31,pu
220 1.1 fredette b signs ; negate product (if needed)
221 1.1 fredette bb,>=,n sign,0,fini ; test sign of product
222 1.1 fredette ;
223 1.1 fredette mpya add,= op1,op1,gr0 ; op1 = -2**31, special case
224 1.1 fredette b mpy2
225 1.1 fredette sub 0,op1,op1 ; op1 = |multiplicand|
226 1.1 fredette add,>= op2,gr0,gr0 ; if op2 < 0, invert sign,
227 1.1 fredette xor pm,sign,sign ; for correct result
228 1.1 fredette movb,tr op2,op1,mmax ; use op2 as multiplicand
229 1.1 fredette shd op1,0,1,pl ; shift it left 31 bits
230 1.1 fredette ;
231 1.1 fredette sh3c shd pu,pl,3,pl ; shift product 3 bits
232 1.1 fredette shd pc,pu,3,pu ; shift 3 signed
233 1.1 fredette addb,tr op1,pu,sh1 ; add op1, to shift 1 bit
234 1.1 fredette shd pu,pl,1,pl
235 1.1 fredette ;
236 1.1 fredette sh3us extru pu,28,29,pu ; shift 3 unsigned
237 1.1 fredette addb,tr op1,pu,sh1 ; add op1, to shift 1 bit
238 1.1 fredette shd pu,pl,1,pl
239 1.1 fredette ;
240 1.1 fredette sh3sa extrs pu,28,29,pu ; shift 3 signed
241 1.1 fredette addb,tr op1,pu,sh1 ; add op1, to shift 1 bit
242 1.1 fredette shd pu,pl,1,pl
243 1.1 fredette ;
244 1.1 fredette sh3s shd pu,pl,3,pl ; shift 3 minus signed
245 1.1 fredette shd pm,pu,3,pu
246 1.1 fredette addb,tr op1,pu,sh1 ; add op1, to shift 1 bit
247 1.1 fredette shd pu,pl,1,pl
248 1.1 fredette ;
249 1.1 fredette sh1 addib,> -1,cnt,mloop ; loop if count > 0
250 1.1 fredette extru pu,30,31,pu
251 1.1 fredette b signs ; end of multiply
252 1.1 fredette bb,>=,n sign,0,fini ; test sign of product
253 1.1 fredette ;
254 1.1 fredette sh2ns addib,tr 1,brindex,sh2sb+4 ; increment index
255 1.1 fredette extru pu,29,30,pu ; shift unsigned
256 1.1 fredette ;
257 1.1 fredette sh2s shd pu,pl,2,pl ; shift with minus sign
258 1.1 fredette shd pm,pu,2,pu ;
259 1.1 fredette sub pu,op1,pu ; subtract op1
260 1.1 fredette shd pu,pl,2,pl ; shift with minus sign
261 1.1 fredette addib,tr -1,cnt,mloop ; decrement count, loop
262 1.1 fredette shd pm,pu,2,pu ; shift with minus sign
263 1.1 fredette ; count never reaches 0 here
264 1.1 fredette ;
265 1.1 fredette sh2sb extrs pu,29,30,pu ; shift 2 signed
266 1.1 fredette sub pu,op1,pu ; subtract op1 from product
267 1.1 fredette shd pu,pl,2,pl ; shift with minus sign
268 1.1 fredette addib,tr -1,cnt,mloop ; decrement count, loop
269 1.1 fredette shd pm,pu,2,pu ; shift with minus sign
270 1.1 fredette ; count never reaches 0 here
271 1.1 fredette ;
272 1.1 fredette sh1sa extrs pu,30,31,pu ; signed
273 1.1 fredette sub pu,op1,pu ; subtract op1 from product
274 1.1 fredette shd pu,pl,3,pl ; shift 3 with minus sign
275 1.1 fredette addib,tr -1,cnt,mloop ; dec. count, to loop
276 1.1 fredette shd pm,pu,3,pu ; count never reaches 0 here
277 1.1 fredette ;
278 1.1 fredette fini0 movib,tr,n 0,pl,fini ; product = 0 as op1 = 0
279 1.1 fredette ;
280 1.1 fredette sh2us extru pu,29,30,pu ; shift 2 unsigned
281 1.1 fredette addb,tr op1,pu,sh2a ; add op1
282 1.1 fredette shd pu,pl,2,pl ; shift 2 bits
283 1.1 fredette ;
284 1.1 fredette sh2c shd pu,pl,2,pl
285 1.1 fredette shd pc,pu,2,pu ; shift with carry
286 1.1 fredette addb,tr op1,pu,sh2a ; add op1 to product
287 1.1 fredette shd pu,pl,2,pl ; br. to sh2 to shift pu
288 1.1 fredette ;
289 1.1 fredette sh2sa extrs pu,29,30,pu ; shift with sign
290 1.1 fredette addb,tr op1,pu,sh2a ; add op1 to product
291 1.1 fredette shd pu,pl,2,pl ; br. to sh2 to shift pu
292 1.1 fredette ;
293 1.1 fredette sh2a addib,> -1,cnt,mloop ; loop if count > 0
294 1.1 fredette extru pu,29,30,pu
295 1.1 fredette ;
296 1.1 fredette mulend bb,>=,n sign,0,fini ; test sign of product
297 1.1 fredette signs sub 0,pl,pl ; negate product if sign
298 1.1 fredette subb 0,pu,pu ; is negative
299 1.1 fredette ;
300 1.1 fredette ; finish
301 1.1 fredette ;
302 1.1 fredette fini stws pu,0(arg2) ; save high part of result
303 1.1 fredette stws pl,4(arg2) ; save low part of result
304 1.1 fredette
305 1.1 fredette ldws,mb -4(sp),pm ; restore registers
306 1.1 fredette ldws,mb -4(sp),pc ; restore registers
307 1.1 fredette ldws,mb -4(sp),sign ; restore registers
308 1.1 fredette ldws,mb -4(sp),brindex ; restore registers
309 1.1 fredette ldws,mb -4(sp),cnt ; restore registers
310 1.1 fredette ldws,mb -4(sp),op1 ; restore registers
311 1.1 fredette ldws,mb -4(sp),pl ; restore registers
312 1.1 fredette bv 0(rp) ; return
313 1.1 fredette ldws,mb -4(sp),pu ; restore registers
314 1.1 fredette
315 1.1 fredette EXIT(impys)
316 1.1 fredette .end
317