1 1.3 christos /* $NetBSD: impys.S,v 1.3 2005/12/11 12:17:40 christos 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 1.2 chs gr0: .equ 0 /* General register zero */ 59 1.2 chs pu: .equ 3 /* upper part of product */ 60 1.2 chs pl: .equ 4 /* lower part of product */ 61 1.2 chs op2: .equ 4 /* multiplier */ 62 1.2 chs op1: .equ 5 /* multiplicand */ 63 1.2 chs cnt: .equ 6 /* count in multiply */ 64 1.2 chs brindex: .equ 7 /* index into the br. table */ 65 1.2 chs sign: .equ 8 /* sign of product */ 66 1.2 chs pc: .equ 9 /* carry bit of product, = 00...01 */ 67 1.2 chs 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 1.2 chs stws,ma pu,4(%sp) ; save registers on stack 73 1.2 chs stws,ma pl,4(%sp) ; save registers on stack 74 1.2 chs stws,ma op1,4(%sp) ; save registers on stack 75 1.2 chs stws,ma cnt,4(%sp) ; save registers on stack 76 1.2 chs stws,ma brindex,4(%sp) ; save registers on stack 77 1.2 chs stws,ma sign,4(%sp) ; save registers on stack 78 1.2 chs stws,ma pc,4(%sp) ; save registers on stack 79 1.2 chs 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 1.2 chs ldws 0(%arg1),op2 ; get multiplier 84 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs fini0: movib,tr,n 0,pl,fini ; product = 0 as op1 = 0 279 1.1 fredette ; 280 1.2 chs 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 1.2 chs 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 1.2 chs 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 1.2 chs sh2a: addib,> -1,cnt,mloop ; loop if count > 0 294 1.1 fredette extru pu,29,30,pu 295 1.1 fredette ; 296 1.2 chs mulend: bb,>=,n sign,0,fini ; test sign of product 297 1.2 chs 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 1.2 chs fini: stws pu,0(%arg2) ; save high part of result 303 1.2 chs stws pl,4(%arg2) ; save low part of result 304 1.1 fredette 305 1.2 chs ldws,mb -4(%sp),pm ; restore registers 306 1.2 chs ldws,mb -4(%sp),pc ; restore registers 307 1.2 chs ldws,mb -4(%sp),sign ; restore registers 308 1.2 chs ldws,mb -4(%sp),brindex ; restore registers 309 1.2 chs ldws,mb -4(%sp),cnt ; restore registers 310 1.2 chs ldws,mb -4(%sp),op1 ; restore registers 311 1.2 chs ldws,mb -4(%sp),pl ; restore registers 312 1.2 chs bv 0(%rp) ; return 313 1.2 chs ldws,mb -4(%sp),pu ; restore registers 314 1.1 fredette 315 1.1 fredette EXIT(impys) 316 1.1 fredette .end 317