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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 | /* SPDX-License-Identifier: GPL-2.0 */ /* * arch/alpha/lib/ev6-divide.S * * 21264 version contributed by Rick Gorton <rick.gorton@alpha-processor.com> * * Alpha division.. */ /* * The alpha chip doesn't provide hardware division, so we have to do it * by hand. The compiler expects the functions * * __divqu: 64-bit unsigned long divide * __remqu: 64-bit unsigned long remainder * __divqs/__remqs: signed 64-bit * __divlu/__remlu: unsigned 32-bit * __divls/__remls: signed 32-bit * * These are not normal C functions: instead of the normal * calling sequence, these expect their arguments in registers * $24 and $25, and return the result in $27. Register $28 may * be clobbered (assembly temporary), anything else must be saved. * * In short: painful. * * This is a rather simple bit-at-a-time algorithm: it's very good * at dividing random 64-bit numbers, but the more usual case where * the divisor is small is handled better by the DEC algorithm * using lookup tables. This uses much less memory, though, and is * nicer on the cache.. Besides, I don't know the copyright status * of the DEC code. */ /* * My temporaries: * $0 - current bit * $1 - shifted divisor * $2 - modulus/quotient * * $23 - return address * $24 - dividend * $25 - divisor * * $27 - quotient/modulus * $28 - compare status * * Much of the information about 21264 scheduling/coding comes from: * Compiler Writer's Guide for the Alpha 21264 * abbreviated as 'CWG' in other comments here * ftp.digital.com/pub/Digital/info/semiconductor/literature/dsc-library.html * Scheduling notation: * E - either cluster * U - upper subcluster; U0 - subcluster U0; U1 - subcluster U1 * L - lower subcluster; L0 - subcluster L0; L1 - subcluster L1 * Try not to change the actual algorithm if possible for consistency. */ #include <asm/export.h> #define halt .long 0 /* * Select function type and registers */ #define mask $0 #define divisor $1 #define compare $28 #define tmp1 $3 #define tmp2 $4 #ifdef DIV #define DIV_ONLY(x,y...) x,##y #define MOD_ONLY(x,y...) #define func(x) __div##x #define modulus $2 #define quotient $27 #define GETSIGN(x) xor $24,$25,x #define STACK 48 #else #define DIV_ONLY(x,y...) #define MOD_ONLY(x,y...) x,##y #define func(x) __rem##x #define modulus $27 #define quotient $2 #define GETSIGN(x) bis $24,$24,x #define STACK 32 #endif /* * For 32-bit operations, we need to extend to 64-bit */ #ifdef INTSIZE #define ufunction func(lu) #define sfunction func(l) #define LONGIFY(x) zapnot x,15,x #define SLONGIFY(x) addl x,0,x #else #define ufunction func(qu) #define sfunction func(q) #define LONGIFY(x) #define SLONGIFY(x) #endif .set noat .align 4 .globl ufunction .ent ufunction ufunction: subq $30,STACK,$30 # E : .frame $30,STACK,$23 .prologue 0 7: stq $1, 0($30) # L : bis $25,$25,divisor # E : stq $2, 8($30) # L : L U L U bis $24,$24,modulus # E : stq $0,16($30) # L : bis $31,$31,quotient # E : LONGIFY(divisor) # E : U L L U stq tmp1,24($30) # L : LONGIFY(modulus) # E : bis $31,1,mask # E : DIV_ONLY(stq tmp2,32($30)) # L : L U U L beq divisor, 9f /* div by zero */ /* * In spite of the DIV_ONLY being either a non-instruction * or an actual stq, the addition of the .align directive * below ensures that label 1 is going to be nicely aligned */ .align 4 #ifdef INTSIZE /* * shift divisor left, using 3-bit shifts for * 32-bit divides as we can't overflow. Three-bit * shifts will result in looping three times less * here, but can result in two loops more later. * Thus using a large shift isn't worth it (and * s8add pairs better than a sll..) */ 1: cmpult divisor,modulus,compare # E : s8addq divisor,$31,divisor # E : s8addq mask,$31,mask # E : bne compare,1b # U : U L U L #else 1: cmpult divisor,modulus,compare # E : nop # E : nop # E : blt divisor, 2f # U : U L U L addq divisor,divisor,divisor # E : addq mask,mask,mask # E : unop # E : bne compare,1b # U : U L U L #endif /* ok, start to go right again.. */ 2: /* * Keep things nicely bundled... use a nop instead of not * having an instruction for DIV_ONLY */ #ifdef DIV DIV_ONLY(addq quotient,mask,tmp2) # E : #else nop # E : #endif srl mask,1,mask # U : cmpule divisor,modulus,compare # E : subq modulus,divisor,tmp1 # E : #ifdef DIV DIV_ONLY(cmovne compare,tmp2,quotient) # E : Latency 2, extra map slot nop # E : as part of the cmovne srl divisor,1,divisor # U : nop # E : L U L U nop # E : cmovne compare,tmp1,modulus # E : Latency 2, extra map slot nop # E : as part of the cmovne bne mask,2b # U : U L U L #else srl divisor,1,divisor # U : cmovne compare,tmp1,modulus # E : Latency 2, extra map slot nop # E : as part of the cmovne bne mask,2b # U : U L L U #endif 9: ldq $1, 0($30) # L : ldq $2, 8($30) # L : nop # E : nop # E : U U L L ldq $0,16($30) # L : ldq tmp1,24($30) # L : nop # E : nop # E : #ifdef DIV DIV_ONLY(ldq tmp2,32($30)) # L : #else nop # E : #endif addq $30,STACK,$30 # E : ret $31,($23),1 # L0 : L U U L .end ufunction EXPORT_SYMBOL(ufunction) /* * Uhh.. Ugly signed division. I'd rather not have it at all, but * it's needed in some circumstances. There are different ways to * handle this, really. This does: * -a / b = a / -b = -(a / b) * -a % b = -(a % b) * a % -b = a % b * which is probably not the best solution, but at least should * have the property that (x/y)*y + (x%y) = x. */ .align 4 .globl sfunction .ent sfunction sfunction: subq $30,STACK,$30 # E : .frame $30,STACK,$23 .prologue 0 bis $24,$25,$28 # E : SLONGIFY($28) # E : bge $28,7b # U : stq $24,0($30) # L : subq $31,$24,$28 # E : stq $25,8($30) # L : nop # E : U L U L cmovlt $24,$28,$24 /* abs($24) */ # E : Latency 2, extra map slot nop # E : as part of the cmov stq $23,16($30) # L : subq $31,$25,$28 # E : U L U L stq tmp1,24($30) # L : cmovlt $25,$28,$25 /* abs($25) */ # E : Latency 2, extra map slot nop # E : bsr $23,ufunction # L0: L U L U ldq $24,0($30) # L : ldq $25,8($30) # L : GETSIGN($28) # E : subq $31,$27,tmp1 # E : U U L L SLONGIFY($28) # E : ldq $23,16($30) # L : cmovlt $28,tmp1,$27 # E : Latency 2, extra map slot nop # E : U L L U : as part of the cmov ldq tmp1,24($30) # L : nop # E : as part of the cmov addq $30,STACK,$30 # E : ret $31,($23),1 # L0 : L U U L .end sfunction EXPORT_SYMBOL(sfunction) |