1 /* $NetBSD: impys.S,v 1.1.10.3 2004/09/21 13:16:34 skrll Exp $ */
3 /* $OpenBSD: impys.S,v 1.5 2001/03/29 03:58:18 mickey Exp $ */
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44 #include <machine/asm.h>
46 /****************************************************************************
48 * Implement an integer multiply routine for 32-bit operands and 64-bit product
49 * with operand values of zero (multiplicand only) and -2**31 treated specially.
50 * The algorithm uses the absolute value of the multiplier, four bits at a time,
51 * from right to left, to generate partial product. Execution speed is more
52 * important than program size in this implementation.
54 ***************************************************************************/
56 * Definitions - General registers
58 gr0: .equ 0 /* General register zero */
59 pu: .equ 3 /* upper part of product */
60 pl: .equ 4 /* lower part of product */
61 op2: .equ 4 /* multiplier */
62 op1: .equ 5 /* multiplicand */
63 cnt: .equ 6 /* count in multiply */
64 brindex: .equ 7 /* index into the br. table */
65 sign: .equ 8 /* sign of product */
66 pc: .equ 9 /* carry bit of product, = 00...01 */
67 pm: .equ 10 /* value of -1 used in shifting */
72 stws,ma pu,4(%sp) ; save registers on stack
73 stws,ma pl,4(%sp) ; save registers on stack
74 stws,ma op1,4(%sp) ; save registers on stack
75 stws,ma cnt,4(%sp) ; save registers on stack
76 stws,ma brindex,4(%sp) ; save registers on stack
77 stws,ma sign,4(%sp) ; save registers on stack
78 stws,ma pc,4(%sp) ; save registers on stack
79 stws,ma pm,4(%sp) ; save registers on stack
81 ; Start multiply process
83 ldws 0(%arg1),op2 ; get multiplier
84 ldws 0(%arg0),op1 ; get multiplicand
85 addi -1,gr0,pm ; initialize pm to 111...1
86 comb,< op2,gr0,mpyb ; br. if multiplier < 0
87 xor op2,op1,sign ; sign(0) = sign of product
88 mpy1: comb,< op1,gr0,mpya ; br. if multiplicand < 0
89 addi 0,gr0,pu ; clear product
90 addib,= 0,op1,fini0 ; op1 = 0, product = 0
91 mpy2: addi 1,gr0,pc ; initialize pc to 00...01
92 movib,tr 8,cnt,mloop ; set count for mpy loop
93 extru op2,31,4,brindex ; 4 bits as index into table
97 b sh4c ; br. if sign overflow
98 sh4n: shd pu,pl,4,pl ; shift product right 4 bits
99 addib,<= -1,cnt,mulend ; reduce count by 1, exit if
100 extru pu,27,28,pu ; <= zero
102 mloop: blr brindex,gr0 ; br. into table
104 extru op2,27,4,brindex ; next 4 bits into index
107 ; branch table for the multiplication process with four multiplier bits
109 mtable: ; two words per entry
111 ; ---- bits = 0000 ---- shift product 4 bits -------------------------------
113 b sh4n+4 ; just shift partial
114 shd pu,pl,4,pl ; product right 4 bits
116 ; ---- bits = 0001 ---- add op1, then shift 4 bits
118 addb,tr op1,pu,sh4n+4 ; add op1 to product, to shift
119 shd pu,pl,4,pl ; product right 4 bits
121 ; ---- bits = 0010 ---- add op1, add op1, then shift 4 bits
123 addb,tr op1,pu,sh4n ; add 2*op1, to shift
124 addb,uv op1,pu,sh4c ; product right 4 bits
126 ; ---- bits = 0011 ---- add op1, add 2*op1, shift 4 bits
128 addb,tr op1,pu,sh4n-4 ; add op1 & 2*op1, shift
129 sh1add,nsv op1,pu,pu ; product right 4 bits
131 ; ---- bits = 0100 ---- shift 2, add op1, shift 2
134 shd pu,pl,2,pl ; shift product 2 bits
136 ; ---- bits = 0101 ---- add op1, shift 2, add op1, and shift 2 again
138 addb,tr op1,pu,sh2us ; add op1 to product
139 shd pu,pl,2,pl ; shift 2 bits
141 ; ---- bits = 0110 ---- add op1, add op1, shift 2, add op1, and shift 2 again
143 addb,tr op1,pu,sh2c ; add 2*op1, to shift 2 bits
144 addb,nuv op1,pu,sh2us ; br. if not overflow
146 ; ---- bits = 0111 ---- subtract op1, shift 3, add op1, and shift 1
149 sub pu,op1,pu ; subtract op1, br. to sh3s
152 ; ---- bits = 1000 ---- shift 3, add op1, shift 1
155 shd pu,pl,3,pl ; shift product right 3 bits
157 ; ---- bits = 1001 ---- add op1, shift 3, add op1, shift 1
159 addb,tr op1,pu,sh3us ; add op1, to shift 3, add op1,
160 shd pu,pl,3,pl ; and shift 1
162 ; ---- bits = 1010 ---- add op1, add op1, shift 3, add op1, shift 1
164 addb,tr op1,pu,sh3c ; add 2*op1, to shift 3 bits
165 addb,nuv op1,pu,sh3us ; br. if no overflow
167 ; ---- bits = 1011 ---- add -op1, shift 2, add -op1, shift 2, inc. next index
169 addib,tr 1,brindex,sh2s ; add 1 to index, subtract op1,
170 sub pu,op1,pu ; shift 2 with minus sign
172 ; ---- bits = 1100 ---- shift 2, subtract op1, shift 2, increment next index
174 addib,tr 1,brindex,sh2sb ; add 1 to index, to shift
175 shd pu,pl,2,pl ; shift right 2 bits signed
177 ; ---- bits = 1101 ---- add op1, shift 2, add -op1, shift 2
179 addb,tr op1,pu,sh2ns ; add op1, to shift 2
180 shd pu,pl,2,pl ; right 2 unsigned, etc.
182 ; ---- bits = 1110 ---- shift 1 signed, add -op1, shift 3 signed
184 addib,tr 1,brindex,sh1sa ; add 1 to index, to shift
185 shd pu,pl,1,pl ; shift 1 bit
187 ; ---- bits = 1111 ---- add -op1, shift 4 signed
189 addib,tr 1,brindex,sh4s ; add 1 to index, subtract op1,
190 sub pu,op1,pu ; to shift 4 signed
193 ; ---- bits = 10000 ---- shift 4 signed
195 addib,tr 1,brindex,sh4s+4 ; add 1 to index
196 shd pu,pl,4,pl ; shift 4 signed
198 ; ---- end of table ---------------------------------------------------------
201 addib,tr -1,cnt,mloop ; loop (count > 0 always here)
202 shd pm,pu,4,pu ; shift 4, minus signed
204 sh4c: addib,> -1,cnt,mloop ; decrement count, loop if > 0
205 shd pc,pu,4,pu ; shift 4 with overflow
206 b signs ; end of multiply
207 bb,>=,n sign,0,fini ; test sign of procduct
209 mpyb: add,= op2,op2,gr0 ; if <> 0, back to main sect.
211 sub 0,op2,op2 ; op2 = |multiplier|
212 add,>= op1,gr0,gr0 ; if op1 < 0, invert sign,
213 xor pm,sign,sign ; for correct result
215 ; special case for multiplier = -2**31, op1 = signed multiplicand
216 ; or multiplicand = -2**31, op1 = signed multiplier
218 shd op1,0,1,pl ; shift op1 left 31 bits
219 mmax: extrs op1,30,31,pu
220 b signs ; negate product (if needed)
221 bb,>=,n sign,0,fini ; test sign of product
223 mpya: add,= op1,op1,gr0 ; op1 = -2**31, special case
225 sub 0,op1,op1 ; op1 = |multiplicand|
226 add,>= op2,gr0,gr0 ; if op2 < 0, invert sign,
227 xor pm,sign,sign ; for correct result
228 movb,tr op2,op1,mmax ; use op2 as multiplicand
229 shd op1,0,1,pl ; shift it left 31 bits
231 sh3c: shd pu,pl,3,pl ; shift product 3 bits
232 shd pc,pu,3,pu ; shift 3 signed
233 addb,tr op1,pu,sh1 ; add op1, to shift 1 bit
236 sh3us: extru pu,28,29,pu ; shift 3 unsigned
237 addb,tr op1,pu,sh1 ; add op1, to shift 1 bit
240 sh3sa: extrs pu,28,29,pu ; shift 3 signed
241 addb,tr op1,pu,sh1 ; add op1, to shift 1 bit
244 sh3s: shd pu,pl,3,pl ; shift 3 minus signed
246 addb,tr op1,pu,sh1 ; add op1, to shift 1 bit
249 sh1: addib,> -1,cnt,mloop ; loop if count > 0
251 b signs ; end of multiply
252 bb,>=,n sign,0,fini ; test sign of product
254 sh2ns: addib,tr 1,brindex,sh2sb+4 ; increment index
255 extru pu,29,30,pu ; shift unsigned
257 sh2s: shd pu,pl,2,pl ; shift with minus sign
259 sub pu,op1,pu ; subtract op1
260 shd pu,pl,2,pl ; shift with minus sign
261 addib,tr -1,cnt,mloop ; decrement count, loop
262 shd pm,pu,2,pu ; shift with minus sign
263 ; count never reaches 0 here
265 sh2sb: extrs pu,29,30,pu ; shift 2 signed
266 sub pu,op1,pu ; subtract op1 from product
267 shd pu,pl,2,pl ; shift with minus sign
268 addib,tr -1,cnt,mloop ; decrement count, loop
269 shd pm,pu,2,pu ; shift with minus sign
270 ; count never reaches 0 here
272 sh1sa: extrs pu,30,31,pu ; signed
273 sub pu,op1,pu ; subtract op1 from product
274 shd pu,pl,3,pl ; shift 3 with minus sign
275 addib,tr -1,cnt,mloop ; dec. count, to loop
276 shd pm,pu,3,pu ; count never reaches 0 here
278 fini0: movib,tr,n 0,pl,fini ; product = 0 as op1 = 0
280 sh2us: extru pu,29,30,pu ; shift 2 unsigned
281 addb,tr op1,pu,sh2a ; add op1
282 shd pu,pl,2,pl ; shift 2 bits
285 shd pc,pu,2,pu ; shift with carry
286 addb,tr op1,pu,sh2a ; add op1 to product
287 shd pu,pl,2,pl ; br. to sh2 to shift pu
289 sh2sa: extrs pu,29,30,pu ; shift with sign
290 addb,tr op1,pu,sh2a ; add op1 to product
291 shd pu,pl,2,pl ; br. to sh2 to shift pu
293 sh2a: addib,> -1,cnt,mloop ; loop if count > 0
296 mulend: bb,>=,n sign,0,fini ; test sign of product
297 signs: sub 0,pl,pl ; negate product if sign
298 subb 0,pu,pu ; is negative
302 fini: stws pu,0(%arg2) ; save high part of result
303 stws pl,4(%arg2) ; save low part of result
305 ldws,mb -4(%sp),pm ; restore registers
306 ldws,mb -4(%sp),pc ; restore registers
307 ldws,mb -4(%sp),sign ; restore registers
308 ldws,mb -4(%sp),brindex ; restore registers
309 ldws,mb -4(%sp),cnt ; restore registers
310 ldws,mb -4(%sp),op1 ; restore registers
311 ldws,mb -4(%sp),pl ; restore registers
313 ldws,mb -4(%sp),pu ; restore registers