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duke@435 | 1 | /* |
duke@435 | 2 | * Copyright 1997-2006 Sun Microsystems, Inc. All Rights Reserved. |
duke@435 | 3 | * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. |
duke@435 | 4 | * |
duke@435 | 5 | * This code is free software; you can redistribute it and/or modify it |
duke@435 | 6 | * under the terms of the GNU General Public License version 2 only, as |
duke@435 | 7 | * published by the Free Software Foundation. |
duke@435 | 8 | * |
duke@435 | 9 | * This code is distributed in the hope that it will be useful, but WITHOUT |
duke@435 | 10 | * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
duke@435 | 11 | * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
duke@435 | 12 | * version 2 for more details (a copy is included in the LICENSE file that |
duke@435 | 13 | * accompanied this code). |
duke@435 | 14 | * |
duke@435 | 15 | * You should have received a copy of the GNU General Public License version |
duke@435 | 16 | * 2 along with this work; if not, write to the Free Software Foundation, |
duke@435 | 17 | * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. |
duke@435 | 18 | * |
duke@435 | 19 | * Please contact Sun Microsystems, Inc., 4150 Network Circle, Santa Clara, |
duke@435 | 20 | * CA 95054 USA or visit www.sun.com if you need additional information or |
duke@435 | 21 | * have any questions. |
duke@435 | 22 | * |
duke@435 | 23 | */ |
duke@435 | 24 | |
duke@435 | 25 | // Portions of code courtesy of Clifford Click |
duke@435 | 26 | |
duke@435 | 27 | // Optimization - Graph Style |
duke@435 | 28 | |
duke@435 | 29 | #include "incls/_precompiled.incl" |
duke@435 | 30 | #include "incls/_divnode.cpp.incl" |
duke@435 | 31 | #include <math.h> |
duke@435 | 32 | |
duke@435 | 33 | // Implement the integer constant divide -> long multiply transform found in |
duke@435 | 34 | // "Division by Invariant Integers using Multiplication" |
duke@435 | 35 | // by Granlund and Montgomery |
duke@435 | 36 | static Node *transform_int_divide_to_long_multiply( PhaseGVN *phase, Node *dividend, int divisor ) { |
duke@435 | 37 | |
duke@435 | 38 | // Check for invalid divisors |
duke@435 | 39 | assert( divisor != 0 && divisor != min_jint && divisor != 1, |
duke@435 | 40 | "bad divisor for transforming to long multiply" ); |
duke@435 | 41 | |
duke@435 | 42 | // Compute l = ceiling(log2(d)) |
duke@435 | 43 | // presumes d is more likely small |
duke@435 | 44 | bool d_pos = divisor >= 0; |
duke@435 | 45 | int d = d_pos ? divisor : -divisor; |
duke@435 | 46 | unsigned ud = (unsigned)d; |
duke@435 | 47 | const int N = 32; |
duke@435 | 48 | int l = log2_intptr(d-1)+1; |
duke@435 | 49 | int sh_post = l; |
duke@435 | 50 | |
duke@435 | 51 | const uint64_t U1 = (uint64_t)1; |
duke@435 | 52 | |
duke@435 | 53 | // Cliff pointed out how to prevent overflow (from the paper) |
duke@435 | 54 | uint64_t m_low = (((U1 << l) - ud) << N) / ud + (U1 << N); |
duke@435 | 55 | uint64_t m_high = ((((U1 << l) - ud) << N) + (U1 << (l+1))) / ud + (U1 << N); |
duke@435 | 56 | |
duke@435 | 57 | // Reduce to lowest terms |
duke@435 | 58 | for ( ; sh_post > 0; sh_post-- ) { |
duke@435 | 59 | uint64_t m_low_1 = m_low >> 1; |
duke@435 | 60 | uint64_t m_high_1 = m_high >> 1; |
duke@435 | 61 | if ( m_low_1 >= m_high_1 ) |
duke@435 | 62 | break; |
duke@435 | 63 | m_low = m_low_1; |
duke@435 | 64 | m_high = m_high_1; |
duke@435 | 65 | } |
duke@435 | 66 | |
duke@435 | 67 | // Result |
duke@435 | 68 | Node *q; |
duke@435 | 69 | |
duke@435 | 70 | // division by +/- 1 |
duke@435 | 71 | if (d == 1) { |
duke@435 | 72 | // Filtered out as identity above |
duke@435 | 73 | if (d_pos) |
duke@435 | 74 | return NULL; |
duke@435 | 75 | |
duke@435 | 76 | // Just negate the value |
duke@435 | 77 | else { |
duke@435 | 78 | q = new (phase->C, 3) SubINode(phase->intcon(0), dividend); |
duke@435 | 79 | } |
duke@435 | 80 | } |
duke@435 | 81 | |
duke@435 | 82 | // division by +/- a power of 2 |
duke@435 | 83 | else if ( is_power_of_2(d) ) { |
duke@435 | 84 | |
duke@435 | 85 | // See if we can simply do a shift without rounding |
duke@435 | 86 | bool needs_rounding = true; |
duke@435 | 87 | const Type *dt = phase->type(dividend); |
duke@435 | 88 | const TypeInt *dti = dt->isa_int(); |
duke@435 | 89 | |
duke@435 | 90 | // we don't need to round a positive dividend |
duke@435 | 91 | if (dti && dti->_lo >= 0) |
duke@435 | 92 | needs_rounding = false; |
duke@435 | 93 | |
duke@435 | 94 | // An AND mask of sufficient size clears the low bits and |
duke@435 | 95 | // I can avoid rounding. |
duke@435 | 96 | else if( dividend->Opcode() == Op_AndI ) { |
duke@435 | 97 | const TypeInt *andconi = phase->type( dividend->in(2) )->isa_int(); |
duke@435 | 98 | if( andconi && andconi->is_con(-d) ) { |
duke@435 | 99 | dividend = dividend->in(1); |
duke@435 | 100 | needs_rounding = false; |
duke@435 | 101 | } |
duke@435 | 102 | } |
duke@435 | 103 | |
duke@435 | 104 | // Add rounding to the shift to handle the sign bit |
duke@435 | 105 | if( needs_rounding ) { |
duke@435 | 106 | Node *t1 = phase->transform(new (phase->C, 3) RShiftINode(dividend, phase->intcon(l - 1))); |
duke@435 | 107 | Node *t2 = phase->transform(new (phase->C, 3) URShiftINode(t1, phase->intcon(N - l))); |
duke@435 | 108 | dividend = phase->transform(new (phase->C, 3) AddINode(dividend, t2)); |
duke@435 | 109 | } |
duke@435 | 110 | |
duke@435 | 111 | q = new (phase->C, 3) RShiftINode(dividend, phase->intcon(l)); |
duke@435 | 112 | |
duke@435 | 113 | if (!d_pos) |
duke@435 | 114 | q = new (phase->C, 3) SubINode(phase->intcon(0), phase->transform(q)); |
duke@435 | 115 | } |
duke@435 | 116 | |
duke@435 | 117 | // division by something else |
duke@435 | 118 | else if (m_high < (U1 << (N-1))) { |
duke@435 | 119 | Node *t1 = phase->transform(new (phase->C, 2) ConvI2LNode(dividend)); |
duke@435 | 120 | Node *t2 = phase->transform(new (phase->C, 3) MulLNode(t1, phase->longcon(m_high))); |
duke@435 | 121 | Node *t3 = phase->transform(new (phase->C, 3) RShiftLNode(t2, phase->intcon(sh_post+N))); |
duke@435 | 122 | Node *t4 = phase->transform(new (phase->C, 2) ConvL2INode(t3)); |
duke@435 | 123 | Node *t5 = phase->transform(new (phase->C, 3) RShiftINode(dividend, phase->intcon(N-1))); |
duke@435 | 124 | |
duke@435 | 125 | q = new (phase->C, 3) SubINode(d_pos ? t4 : t5, d_pos ? t5 : t4); |
duke@435 | 126 | } |
duke@435 | 127 | |
duke@435 | 128 | // This handles that case where m_high is >= 2**(N-1). In that case, |
duke@435 | 129 | // we subtract out 2**N from the multiply and add it in later as |
duke@435 | 130 | // "dividend" in the equation (t5). This case computes the same result |
duke@435 | 131 | // as the immediately preceeding case, save that rounding and overflow |
duke@435 | 132 | // are accounted for. |
duke@435 | 133 | else { |
duke@435 | 134 | Node *t1 = phase->transform(new (phase->C, 2) ConvI2LNode(dividend)); |
duke@435 | 135 | Node *t2 = phase->transform(new (phase->C, 3) MulLNode(t1, phase->longcon(m_high - (U1 << N)))); |
duke@435 | 136 | Node *t3 = phase->transform(new (phase->C, 3) RShiftLNode(t2, phase->intcon(N))); |
duke@435 | 137 | Node *t4 = phase->transform(new (phase->C, 2) ConvL2INode(t3)); |
duke@435 | 138 | Node *t5 = phase->transform(new (phase->C, 3) AddINode(dividend, t4)); |
duke@435 | 139 | Node *t6 = phase->transform(new (phase->C, 3) RShiftINode(t5, phase->intcon(sh_post))); |
duke@435 | 140 | Node *t7 = phase->transform(new (phase->C, 3) RShiftINode(dividend, phase->intcon(N-1))); |
duke@435 | 141 | |
duke@435 | 142 | q = new (phase->C, 3) SubINode(d_pos ? t6 : t7, d_pos ? t7 : t6); |
duke@435 | 143 | } |
duke@435 | 144 | |
duke@435 | 145 | return (q); |
duke@435 | 146 | } |
duke@435 | 147 | |
duke@435 | 148 | //============================================================================= |
duke@435 | 149 | //------------------------------Identity--------------------------------------- |
duke@435 | 150 | // If the divisor is 1, we are an identity on the dividend. |
duke@435 | 151 | Node *DivINode::Identity( PhaseTransform *phase ) { |
duke@435 | 152 | return (phase->type( in(2) )->higher_equal(TypeInt::ONE)) ? in(1) : this; |
duke@435 | 153 | } |
duke@435 | 154 | |
duke@435 | 155 | //------------------------------Idealize--------------------------------------- |
duke@435 | 156 | // Divides can be changed to multiplies and/or shifts |
duke@435 | 157 | Node *DivINode::Ideal(PhaseGVN *phase, bool can_reshape) { |
duke@435 | 158 | if (in(0) && remove_dead_region(phase, can_reshape)) return this; |
duke@435 | 159 | |
duke@435 | 160 | const Type *t = phase->type( in(2) ); |
duke@435 | 161 | if( t == TypeInt::ONE ) // Identity? |
duke@435 | 162 | return NULL; // Skip it |
duke@435 | 163 | |
duke@435 | 164 | const TypeInt *ti = t->isa_int(); |
duke@435 | 165 | if( !ti ) return NULL; |
duke@435 | 166 | if( !ti->is_con() ) return NULL; |
duke@435 | 167 | int i = ti->get_con(); // Get divisor |
duke@435 | 168 | |
duke@435 | 169 | if (i == 0) return NULL; // Dividing by zero constant does not idealize |
duke@435 | 170 | |
duke@435 | 171 | set_req(0,NULL); // Dividing by a not-zero constant; no faulting |
duke@435 | 172 | |
duke@435 | 173 | // Dividing by MININT does not optimize as a power-of-2 shift. |
duke@435 | 174 | if( i == min_jint ) return NULL; |
duke@435 | 175 | |
duke@435 | 176 | return transform_int_divide_to_long_multiply( phase, in(1), i ); |
duke@435 | 177 | } |
duke@435 | 178 | |
duke@435 | 179 | //------------------------------Value------------------------------------------ |
duke@435 | 180 | // A DivINode divides its inputs. The third input is a Control input, used to |
duke@435 | 181 | // prevent hoisting the divide above an unsafe test. |
duke@435 | 182 | const Type *DivINode::Value( PhaseTransform *phase ) const { |
duke@435 | 183 | // Either input is TOP ==> the result is TOP |
duke@435 | 184 | const Type *t1 = phase->type( in(1) ); |
duke@435 | 185 | const Type *t2 = phase->type( in(2) ); |
duke@435 | 186 | if( t1 == Type::TOP ) return Type::TOP; |
duke@435 | 187 | if( t2 == Type::TOP ) return Type::TOP; |
duke@435 | 188 | |
duke@435 | 189 | // x/x == 1 since we always generate the dynamic divisor check for 0. |
duke@435 | 190 | if( phase->eqv( in(1), in(2) ) ) |
duke@435 | 191 | return TypeInt::ONE; |
duke@435 | 192 | |
duke@435 | 193 | // Either input is BOTTOM ==> the result is the local BOTTOM |
duke@435 | 194 | const Type *bot = bottom_type(); |
duke@435 | 195 | if( (t1 == bot) || (t2 == bot) || |
duke@435 | 196 | (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) ) |
duke@435 | 197 | return bot; |
duke@435 | 198 | |
duke@435 | 199 | // Divide the two numbers. We approximate. |
duke@435 | 200 | // If divisor is a constant and not zero |
duke@435 | 201 | const TypeInt *i1 = t1->is_int(); |
duke@435 | 202 | const TypeInt *i2 = t2->is_int(); |
duke@435 | 203 | int widen = MAX2(i1->_widen, i2->_widen); |
duke@435 | 204 | |
duke@435 | 205 | if( i2->is_con() && i2->get_con() != 0 ) { |
duke@435 | 206 | int32 d = i2->get_con(); // Divisor |
duke@435 | 207 | jint lo, hi; |
duke@435 | 208 | if( d >= 0 ) { |
duke@435 | 209 | lo = i1->_lo/d; |
duke@435 | 210 | hi = i1->_hi/d; |
duke@435 | 211 | } else { |
duke@435 | 212 | if( d == -1 && i1->_lo == min_jint ) { |
duke@435 | 213 | // 'min_jint/-1' throws arithmetic exception during compilation |
duke@435 | 214 | lo = min_jint; |
duke@435 | 215 | // do not support holes, 'hi' must go to either min_jint or max_jint: |
duke@435 | 216 | // [min_jint, -10]/[-1,-1] ==> [min_jint] UNION [10,max_jint] |
duke@435 | 217 | hi = i1->_hi == min_jint ? min_jint : max_jint; |
duke@435 | 218 | } else { |
duke@435 | 219 | lo = i1->_hi/d; |
duke@435 | 220 | hi = i1->_lo/d; |
duke@435 | 221 | } |
duke@435 | 222 | } |
duke@435 | 223 | return TypeInt::make(lo, hi, widen); |
duke@435 | 224 | } |
duke@435 | 225 | |
duke@435 | 226 | // If the dividend is a constant |
duke@435 | 227 | if( i1->is_con() ) { |
duke@435 | 228 | int32 d = i1->get_con(); |
duke@435 | 229 | if( d < 0 ) { |
duke@435 | 230 | if( d == min_jint ) { |
duke@435 | 231 | // (-min_jint) == min_jint == (min_jint / -1) |
duke@435 | 232 | return TypeInt::make(min_jint, max_jint/2 + 1, widen); |
duke@435 | 233 | } else { |
duke@435 | 234 | return TypeInt::make(d, -d, widen); |
duke@435 | 235 | } |
duke@435 | 236 | } |
duke@435 | 237 | return TypeInt::make(-d, d, widen); |
duke@435 | 238 | } |
duke@435 | 239 | |
duke@435 | 240 | // Otherwise we give up all hope |
duke@435 | 241 | return TypeInt::INT; |
duke@435 | 242 | } |
duke@435 | 243 | |
duke@435 | 244 | |
duke@435 | 245 | //============================================================================= |
duke@435 | 246 | //------------------------------Identity--------------------------------------- |
duke@435 | 247 | // If the divisor is 1, we are an identity on the dividend. |
duke@435 | 248 | Node *DivLNode::Identity( PhaseTransform *phase ) { |
duke@435 | 249 | return (phase->type( in(2) )->higher_equal(TypeLong::ONE)) ? in(1) : this; |
duke@435 | 250 | } |
duke@435 | 251 | |
duke@435 | 252 | //------------------------------Idealize--------------------------------------- |
duke@435 | 253 | // Dividing by a power of 2 is a shift. |
duke@435 | 254 | Node *DivLNode::Ideal( PhaseGVN *phase, bool can_reshape) { |
duke@435 | 255 | if (in(0) && remove_dead_region(phase, can_reshape)) return this; |
duke@435 | 256 | |
duke@435 | 257 | const Type *t = phase->type( in(2) ); |
duke@435 | 258 | if( t == TypeLong::ONE ) // Identity? |
duke@435 | 259 | return NULL; // Skip it |
duke@435 | 260 | |
duke@435 | 261 | const TypeLong *ti = t->isa_long(); |
duke@435 | 262 | if( !ti ) return NULL; |
duke@435 | 263 | if( !ti->is_con() ) return NULL; |
duke@435 | 264 | jlong i = ti->get_con(); // Get divisor |
duke@435 | 265 | if( i ) set_req(0, NULL); // Dividing by a not-zero constant; no faulting |
duke@435 | 266 | |
duke@435 | 267 | // Dividing by MININT does not optimize as a power-of-2 shift. |
duke@435 | 268 | if( i == min_jlong ) return NULL; |
duke@435 | 269 | |
duke@435 | 270 | // Check for negative power of 2 divisor, if so, negate it and set a flag |
duke@435 | 271 | // to indicate result needs to be negated. Note that negating the dividend |
duke@435 | 272 | // here does not work when it has the value MININT |
duke@435 | 273 | Node *dividend = in(1); |
duke@435 | 274 | bool negate_res = false; |
duke@435 | 275 | if (is_power_of_2_long(-i)) { |
duke@435 | 276 | i = -i; // Flip divisor |
duke@435 | 277 | negate_res = true; |
duke@435 | 278 | } |
duke@435 | 279 | |
duke@435 | 280 | // Check for power of 2 |
duke@435 | 281 | if (!is_power_of_2_long(i)) // Is divisor a power of 2? |
duke@435 | 282 | return NULL; // Not a power of 2 |
duke@435 | 283 | |
duke@435 | 284 | // Compute number of bits to shift |
duke@435 | 285 | int log_i = log2_long(i); |
duke@435 | 286 | |
duke@435 | 287 | // See if we can simply do a shift without rounding |
duke@435 | 288 | bool needs_rounding = true; |
duke@435 | 289 | const Type *dt = phase->type(dividend); |
duke@435 | 290 | const TypeLong *dtl = dt->isa_long(); |
duke@435 | 291 | |
duke@435 | 292 | if (dtl && dtl->_lo > 0) { |
duke@435 | 293 | // we don't need to round a positive dividend |
duke@435 | 294 | needs_rounding = false; |
duke@435 | 295 | } else if( dividend->Opcode() == Op_AndL ) { |
duke@435 | 296 | // An AND mask of sufficient size clears the low bits and |
duke@435 | 297 | // I can avoid rounding. |
duke@435 | 298 | const TypeLong *andconi = phase->type( dividend->in(2) )->isa_long(); |
duke@435 | 299 | if( andconi && |
duke@435 | 300 | andconi->is_con() && |
duke@435 | 301 | andconi->get_con() == -i ) { |
duke@435 | 302 | dividend = dividend->in(1); |
duke@435 | 303 | needs_rounding = false; |
duke@435 | 304 | } |
duke@435 | 305 | } |
duke@435 | 306 | |
duke@435 | 307 | if (!needs_rounding) { |
duke@435 | 308 | Node *result = new (phase->C, 3) RShiftLNode(dividend, phase->intcon(log_i)); |
duke@435 | 309 | if (negate_res) { |
duke@435 | 310 | result = phase->transform(result); |
duke@435 | 311 | result = new (phase->C, 3) SubLNode(phase->longcon(0), result); |
duke@435 | 312 | } |
duke@435 | 313 | return result; |
duke@435 | 314 | } |
duke@435 | 315 | |
duke@435 | 316 | // Divide-by-power-of-2 can be made into a shift, but you have to do |
duke@435 | 317 | // more math for the rounding. You need to add 0 for positive |
duke@435 | 318 | // numbers, and "i-1" for negative numbers. Example: i=4, so the |
duke@435 | 319 | // shift is by 2. You need to add 3 to negative dividends and 0 to |
duke@435 | 320 | // positive ones. So (-7+3)>>2 becomes -1, (-4+3)>>2 becomes -1, |
duke@435 | 321 | // (-2+3)>>2 becomes 0, etc. |
duke@435 | 322 | |
duke@435 | 323 | // Compute 0 or -1, based on sign bit |
duke@435 | 324 | Node *sign = phase->transform(new (phase->C, 3) RShiftLNode(dividend,phase->intcon(63))); |
duke@435 | 325 | // Mask sign bit to the low sign bits |
duke@435 | 326 | Node *round = phase->transform(new (phase->C, 3) AndLNode(sign,phase->longcon(i-1))); |
duke@435 | 327 | // Round up before shifting |
duke@435 | 328 | Node *sum = phase->transform(new (phase->C, 3) AddLNode(dividend,round)); |
duke@435 | 329 | // Shift for division |
duke@435 | 330 | Node *result = new (phase->C, 3) RShiftLNode(sum, phase->intcon(log_i)); |
duke@435 | 331 | if (negate_res) { |
duke@435 | 332 | result = phase->transform(result); |
duke@435 | 333 | result = new (phase->C, 3) SubLNode(phase->longcon(0), result); |
duke@435 | 334 | } |
duke@435 | 335 | |
duke@435 | 336 | return result; |
duke@435 | 337 | } |
duke@435 | 338 | |
duke@435 | 339 | //------------------------------Value------------------------------------------ |
duke@435 | 340 | // A DivLNode divides its inputs. The third input is a Control input, used to |
duke@435 | 341 | // prevent hoisting the divide above an unsafe test. |
duke@435 | 342 | const Type *DivLNode::Value( PhaseTransform *phase ) const { |
duke@435 | 343 | // Either input is TOP ==> the result is TOP |
duke@435 | 344 | const Type *t1 = phase->type( in(1) ); |
duke@435 | 345 | const Type *t2 = phase->type( in(2) ); |
duke@435 | 346 | if( t1 == Type::TOP ) return Type::TOP; |
duke@435 | 347 | if( t2 == Type::TOP ) return Type::TOP; |
duke@435 | 348 | |
duke@435 | 349 | // x/x == 1 since we always generate the dynamic divisor check for 0. |
duke@435 | 350 | if( phase->eqv( in(1), in(2) ) ) |
duke@435 | 351 | return TypeLong::ONE; |
duke@435 | 352 | |
duke@435 | 353 | // Either input is BOTTOM ==> the result is the local BOTTOM |
duke@435 | 354 | const Type *bot = bottom_type(); |
duke@435 | 355 | if( (t1 == bot) || (t2 == bot) || |
duke@435 | 356 | (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) ) |
duke@435 | 357 | return bot; |
duke@435 | 358 | |
duke@435 | 359 | // Divide the two numbers. We approximate. |
duke@435 | 360 | // If divisor is a constant and not zero |
duke@435 | 361 | const TypeLong *i1 = t1->is_long(); |
duke@435 | 362 | const TypeLong *i2 = t2->is_long(); |
duke@435 | 363 | int widen = MAX2(i1->_widen, i2->_widen); |
duke@435 | 364 | |
duke@435 | 365 | if( i2->is_con() && i2->get_con() != 0 ) { |
duke@435 | 366 | jlong d = i2->get_con(); // Divisor |
duke@435 | 367 | jlong lo, hi; |
duke@435 | 368 | if( d >= 0 ) { |
duke@435 | 369 | lo = i1->_lo/d; |
duke@435 | 370 | hi = i1->_hi/d; |
duke@435 | 371 | } else { |
duke@435 | 372 | if( d == CONST64(-1) && i1->_lo == min_jlong ) { |
duke@435 | 373 | // 'min_jlong/-1' throws arithmetic exception during compilation |
duke@435 | 374 | lo = min_jlong; |
duke@435 | 375 | // do not support holes, 'hi' must go to either min_jlong or max_jlong: |
duke@435 | 376 | // [min_jlong, -10]/[-1,-1] ==> [min_jlong] UNION [10,max_jlong] |
duke@435 | 377 | hi = i1->_hi == min_jlong ? min_jlong : max_jlong; |
duke@435 | 378 | } else { |
duke@435 | 379 | lo = i1->_hi/d; |
duke@435 | 380 | hi = i1->_lo/d; |
duke@435 | 381 | } |
duke@435 | 382 | } |
duke@435 | 383 | return TypeLong::make(lo, hi, widen); |
duke@435 | 384 | } |
duke@435 | 385 | |
duke@435 | 386 | // If the dividend is a constant |
duke@435 | 387 | if( i1->is_con() ) { |
duke@435 | 388 | jlong d = i1->get_con(); |
duke@435 | 389 | if( d < 0 ) { |
duke@435 | 390 | if( d == min_jlong ) { |
duke@435 | 391 | // (-min_jlong) == min_jlong == (min_jlong / -1) |
duke@435 | 392 | return TypeLong::make(min_jlong, max_jlong/2 + 1, widen); |
duke@435 | 393 | } else { |
duke@435 | 394 | return TypeLong::make(d, -d, widen); |
duke@435 | 395 | } |
duke@435 | 396 | } |
duke@435 | 397 | return TypeLong::make(-d, d, widen); |
duke@435 | 398 | } |
duke@435 | 399 | |
duke@435 | 400 | // Otherwise we give up all hope |
duke@435 | 401 | return TypeLong::LONG; |
duke@435 | 402 | } |
duke@435 | 403 | |
duke@435 | 404 | |
duke@435 | 405 | //============================================================================= |
duke@435 | 406 | //------------------------------Value------------------------------------------ |
duke@435 | 407 | // An DivFNode divides its inputs. The third input is a Control input, used to |
duke@435 | 408 | // prevent hoisting the divide above an unsafe test. |
duke@435 | 409 | const Type *DivFNode::Value( PhaseTransform *phase ) const { |
duke@435 | 410 | // Either input is TOP ==> the result is TOP |
duke@435 | 411 | const Type *t1 = phase->type( in(1) ); |
duke@435 | 412 | const Type *t2 = phase->type( in(2) ); |
duke@435 | 413 | if( t1 == Type::TOP ) return Type::TOP; |
duke@435 | 414 | if( t2 == Type::TOP ) return Type::TOP; |
duke@435 | 415 | |
duke@435 | 416 | // Either input is BOTTOM ==> the result is the local BOTTOM |
duke@435 | 417 | const Type *bot = bottom_type(); |
duke@435 | 418 | if( (t1 == bot) || (t2 == bot) || |
duke@435 | 419 | (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) ) |
duke@435 | 420 | return bot; |
duke@435 | 421 | |
duke@435 | 422 | // x/x == 1, we ignore 0/0. |
duke@435 | 423 | // Note: if t1 and t2 are zero then result is NaN (JVMS page 213) |
duke@435 | 424 | // does not work for variables because of NaN's |
duke@435 | 425 | if( phase->eqv( in(1), in(2) ) && t1->base() == Type::FloatCon) |
duke@435 | 426 | if (!g_isnan(t1->getf()) && g_isfinite(t1->getf()) && t1->getf() != 0.0) // could be negative ZERO or NaN |
duke@435 | 427 | return TypeF::ONE; |
duke@435 | 428 | |
duke@435 | 429 | if( t2 == TypeF::ONE ) |
duke@435 | 430 | return t1; |
duke@435 | 431 | |
duke@435 | 432 | // If divisor is a constant and not zero, divide them numbers |
duke@435 | 433 | if( t1->base() == Type::FloatCon && |
duke@435 | 434 | t2->base() == Type::FloatCon && |
duke@435 | 435 | t2->getf() != 0.0 ) // could be negative zero |
duke@435 | 436 | return TypeF::make( t1->getf()/t2->getf() ); |
duke@435 | 437 | |
duke@435 | 438 | // If the dividend is a constant zero |
duke@435 | 439 | // Note: if t1 and t2 are zero then result is NaN (JVMS page 213) |
duke@435 | 440 | // Test TypeF::ZERO is not sufficient as it could be negative zero |
duke@435 | 441 | |
duke@435 | 442 | if( t1 == TypeF::ZERO && !g_isnan(t2->getf()) && t2->getf() != 0.0 ) |
duke@435 | 443 | return TypeF::ZERO; |
duke@435 | 444 | |
duke@435 | 445 | // Otherwise we give up all hope |
duke@435 | 446 | return Type::FLOAT; |
duke@435 | 447 | } |
duke@435 | 448 | |
duke@435 | 449 | //------------------------------isA_Copy--------------------------------------- |
duke@435 | 450 | // Dividing by self is 1. |
duke@435 | 451 | // If the divisor is 1, we are an identity on the dividend. |
duke@435 | 452 | Node *DivFNode::Identity( PhaseTransform *phase ) { |
duke@435 | 453 | return (phase->type( in(2) ) == TypeF::ONE) ? in(1) : this; |
duke@435 | 454 | } |
duke@435 | 455 | |
duke@435 | 456 | |
duke@435 | 457 | //------------------------------Idealize--------------------------------------- |
duke@435 | 458 | Node *DivFNode::Ideal(PhaseGVN *phase, bool can_reshape) { |
duke@435 | 459 | if (in(0) && remove_dead_region(phase, can_reshape)) return this; |
duke@435 | 460 | |
duke@435 | 461 | const Type *t2 = phase->type( in(2) ); |
duke@435 | 462 | if( t2 == TypeF::ONE ) // Identity? |
duke@435 | 463 | return NULL; // Skip it |
duke@435 | 464 | |
duke@435 | 465 | const TypeF *tf = t2->isa_float_constant(); |
duke@435 | 466 | if( !tf ) return NULL; |
duke@435 | 467 | if( tf->base() != Type::FloatCon ) return NULL; |
duke@435 | 468 | |
duke@435 | 469 | // Check for out of range values |
duke@435 | 470 | if( tf->is_nan() || !tf->is_finite() ) return NULL; |
duke@435 | 471 | |
duke@435 | 472 | // Get the value |
duke@435 | 473 | float f = tf->getf(); |
duke@435 | 474 | int exp; |
duke@435 | 475 | |
duke@435 | 476 | // Only for special case of dividing by a power of 2 |
duke@435 | 477 | if( frexp((double)f, &exp) != 0.5 ) return NULL; |
duke@435 | 478 | |
duke@435 | 479 | // Limit the range of acceptable exponents |
duke@435 | 480 | if( exp < -126 || exp > 126 ) return NULL; |
duke@435 | 481 | |
duke@435 | 482 | // Compute the reciprocal |
duke@435 | 483 | float reciprocal = ((float)1.0) / f; |
duke@435 | 484 | |
duke@435 | 485 | assert( frexp((double)reciprocal, &exp) == 0.5, "reciprocal should be power of 2" ); |
duke@435 | 486 | |
duke@435 | 487 | // return multiplication by the reciprocal |
duke@435 | 488 | return (new (phase->C, 3) MulFNode(in(1), phase->makecon(TypeF::make(reciprocal)))); |
duke@435 | 489 | } |
duke@435 | 490 | |
duke@435 | 491 | //============================================================================= |
duke@435 | 492 | //------------------------------Value------------------------------------------ |
duke@435 | 493 | // An DivDNode divides its inputs. The third input is a Control input, used to |
duke@435 | 494 | // prvent hoisting the divide above an unsafe test. |
duke@435 | 495 | const Type *DivDNode::Value( PhaseTransform *phase ) const { |
duke@435 | 496 | // Either input is TOP ==> the result is TOP |
duke@435 | 497 | const Type *t1 = phase->type( in(1) ); |
duke@435 | 498 | const Type *t2 = phase->type( in(2) ); |
duke@435 | 499 | if( t1 == Type::TOP ) return Type::TOP; |
duke@435 | 500 | if( t2 == Type::TOP ) return Type::TOP; |
duke@435 | 501 | |
duke@435 | 502 | // Either input is BOTTOM ==> the result is the local BOTTOM |
duke@435 | 503 | const Type *bot = bottom_type(); |
duke@435 | 504 | if( (t1 == bot) || (t2 == bot) || |
duke@435 | 505 | (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) ) |
duke@435 | 506 | return bot; |
duke@435 | 507 | |
duke@435 | 508 | // x/x == 1, we ignore 0/0. |
duke@435 | 509 | // Note: if t1 and t2 are zero then result is NaN (JVMS page 213) |
duke@435 | 510 | // Does not work for variables because of NaN's |
duke@435 | 511 | if( phase->eqv( in(1), in(2) ) && t1->base() == Type::DoubleCon) |
duke@435 | 512 | if (!g_isnan(t1->getd()) && g_isfinite(t1->getd()) && t1->getd() != 0.0) // could be negative ZERO or NaN |
duke@435 | 513 | return TypeD::ONE; |
duke@435 | 514 | |
duke@435 | 515 | if( t2 == TypeD::ONE ) |
duke@435 | 516 | return t1; |
duke@435 | 517 | |
duke@435 | 518 | // If divisor is a constant and not zero, divide them numbers |
duke@435 | 519 | if( t1->base() == Type::DoubleCon && |
duke@435 | 520 | t2->base() == Type::DoubleCon && |
duke@435 | 521 | t2->getd() != 0.0 ) // could be negative zero |
duke@435 | 522 | return TypeD::make( t1->getd()/t2->getd() ); |
duke@435 | 523 | |
duke@435 | 524 | // If the dividend is a constant zero |
duke@435 | 525 | // Note: if t1 and t2 are zero then result is NaN (JVMS page 213) |
duke@435 | 526 | // Test TypeF::ZERO is not sufficient as it could be negative zero |
duke@435 | 527 | if( t1 == TypeD::ZERO && !g_isnan(t2->getd()) && t2->getd() != 0.0 ) |
duke@435 | 528 | return TypeD::ZERO; |
duke@435 | 529 | |
duke@435 | 530 | // Otherwise we give up all hope |
duke@435 | 531 | return Type::DOUBLE; |
duke@435 | 532 | } |
duke@435 | 533 | |
duke@435 | 534 | |
duke@435 | 535 | //------------------------------isA_Copy--------------------------------------- |
duke@435 | 536 | // Dividing by self is 1. |
duke@435 | 537 | // If the divisor is 1, we are an identity on the dividend. |
duke@435 | 538 | Node *DivDNode::Identity( PhaseTransform *phase ) { |
duke@435 | 539 | return (phase->type( in(2) ) == TypeD::ONE) ? in(1) : this; |
duke@435 | 540 | } |
duke@435 | 541 | |
duke@435 | 542 | //------------------------------Idealize--------------------------------------- |
duke@435 | 543 | Node *DivDNode::Ideal(PhaseGVN *phase, bool can_reshape) { |
duke@435 | 544 | if (in(0) && remove_dead_region(phase, can_reshape)) return this; |
duke@435 | 545 | |
duke@435 | 546 | const Type *t2 = phase->type( in(2) ); |
duke@435 | 547 | if( t2 == TypeD::ONE ) // Identity? |
duke@435 | 548 | return NULL; // Skip it |
duke@435 | 549 | |
duke@435 | 550 | const TypeD *td = t2->isa_double_constant(); |
duke@435 | 551 | if( !td ) return NULL; |
duke@435 | 552 | if( td->base() != Type::DoubleCon ) return NULL; |
duke@435 | 553 | |
duke@435 | 554 | // Check for out of range values |
duke@435 | 555 | if( td->is_nan() || !td->is_finite() ) return NULL; |
duke@435 | 556 | |
duke@435 | 557 | // Get the value |
duke@435 | 558 | double d = td->getd(); |
duke@435 | 559 | int exp; |
duke@435 | 560 | |
duke@435 | 561 | // Only for special case of dividing by a power of 2 |
duke@435 | 562 | if( frexp(d, &exp) != 0.5 ) return NULL; |
duke@435 | 563 | |
duke@435 | 564 | // Limit the range of acceptable exponents |
duke@435 | 565 | if( exp < -1021 || exp > 1022 ) return NULL; |
duke@435 | 566 | |
duke@435 | 567 | // Compute the reciprocal |
duke@435 | 568 | double reciprocal = 1.0 / d; |
duke@435 | 569 | |
duke@435 | 570 | assert( frexp(reciprocal, &exp) == 0.5, "reciprocal should be power of 2" ); |
duke@435 | 571 | |
duke@435 | 572 | // return multiplication by the reciprocal |
duke@435 | 573 | return (new (phase->C, 3) MulDNode(in(1), phase->makecon(TypeD::make(reciprocal)))); |
duke@435 | 574 | } |
duke@435 | 575 | |
duke@435 | 576 | //============================================================================= |
duke@435 | 577 | //------------------------------Idealize--------------------------------------- |
duke@435 | 578 | Node *ModINode::Ideal(PhaseGVN *phase, bool can_reshape) { |
duke@435 | 579 | // Check for dead control input |
duke@435 | 580 | if( remove_dead_region(phase, can_reshape) ) return this; |
duke@435 | 581 | |
duke@435 | 582 | // Get the modulus |
duke@435 | 583 | const Type *t = phase->type( in(2) ); |
duke@435 | 584 | if( t == Type::TOP ) return NULL; |
duke@435 | 585 | const TypeInt *ti = t->is_int(); |
duke@435 | 586 | |
duke@435 | 587 | // Check for useless control input |
duke@435 | 588 | // Check for excluding mod-zero case |
duke@435 | 589 | if( in(0) && (ti->_hi < 0 || ti->_lo > 0) ) { |
duke@435 | 590 | set_req(0, NULL); // Yank control input |
duke@435 | 591 | return this; |
duke@435 | 592 | } |
duke@435 | 593 | |
duke@435 | 594 | // See if we are MOD'ing by 2^k or 2^k-1. |
duke@435 | 595 | if( !ti->is_con() ) return NULL; |
duke@435 | 596 | jint con = ti->get_con(); |
duke@435 | 597 | |
duke@435 | 598 | Node *hook = new (phase->C, 1) Node(1); |
duke@435 | 599 | |
duke@435 | 600 | // First, special check for modulo 2^k-1 |
duke@435 | 601 | if( con >= 0 && con < max_jint && is_power_of_2(con+1) ) { |
duke@435 | 602 | uint k = exact_log2(con+1); // Extract k |
duke@435 | 603 | |
duke@435 | 604 | // Basic algorithm by David Detlefs. See fastmod_int.java for gory details. |
duke@435 | 605 | static int unroll_factor[] = { 999, 999, 29, 14, 9, 7, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 1 /*past here we assume 1 forever*/}; |
duke@435 | 606 | int trip_count = 1; |
duke@435 | 607 | if( k < ARRAY_SIZE(unroll_factor)) trip_count = unroll_factor[k]; |
duke@435 | 608 | |
duke@435 | 609 | // If the unroll factor is not too large, and if conditional moves are |
duke@435 | 610 | // ok, then use this case |
duke@435 | 611 | if( trip_count <= 5 && ConditionalMoveLimit != 0 ) { |
duke@435 | 612 | Node *x = in(1); // Value being mod'd |
duke@435 | 613 | Node *divisor = in(2); // Also is mask |
duke@435 | 614 | |
duke@435 | 615 | hook->init_req(0, x); // Add a use to x to prevent him from dying |
duke@435 | 616 | // Generate code to reduce X rapidly to nearly 2^k-1. |
duke@435 | 617 | for( int i = 0; i < trip_count; i++ ) { |
duke@435 | 618 | Node *xl = phase->transform( new (phase->C, 3) AndINode(x,divisor) ); |
duke@435 | 619 | Node *xh = phase->transform( new (phase->C, 3) RShiftINode(x,phase->intcon(k)) ); // Must be signed |
duke@435 | 620 | x = phase->transform( new (phase->C, 3) AddINode(xh,xl) ); |
duke@435 | 621 | hook->set_req(0, x); |
duke@435 | 622 | } |
duke@435 | 623 | |
duke@435 | 624 | // Generate sign-fixup code. Was original value positive? |
duke@435 | 625 | // int hack_res = (i >= 0) ? divisor : 1; |
duke@435 | 626 | Node *cmp1 = phase->transform( new (phase->C, 3) CmpINode( in(1), phase->intcon(0) ) ); |
duke@435 | 627 | Node *bol1 = phase->transform( new (phase->C, 2) BoolNode( cmp1, BoolTest::ge ) ); |
duke@435 | 628 | Node *cmov1= phase->transform( new (phase->C, 4) CMoveINode(bol1, phase->intcon(1), divisor, TypeInt::POS) ); |
duke@435 | 629 | // if( x >= hack_res ) x -= divisor; |
duke@435 | 630 | Node *sub = phase->transform( new (phase->C, 3) SubINode( x, divisor ) ); |
duke@435 | 631 | Node *cmp2 = phase->transform( new (phase->C, 3) CmpINode( x, cmov1 ) ); |
duke@435 | 632 | Node *bol2 = phase->transform( new (phase->C, 2) BoolNode( cmp2, BoolTest::ge ) ); |
duke@435 | 633 | // Convention is to not transform the return value of an Ideal |
duke@435 | 634 | // since Ideal is expected to return a modified 'this' or a new node. |
duke@435 | 635 | Node *cmov2= new (phase->C, 4) CMoveINode(bol2, x, sub, TypeInt::INT); |
duke@435 | 636 | // cmov2 is now the mod |
duke@435 | 637 | |
duke@435 | 638 | // Now remove the bogus extra edges used to keep things alive |
duke@435 | 639 | if (can_reshape) { |
duke@435 | 640 | phase->is_IterGVN()->remove_dead_node(hook); |
duke@435 | 641 | } else { |
duke@435 | 642 | hook->set_req(0, NULL); // Just yank bogus edge during Parse phase |
duke@435 | 643 | } |
duke@435 | 644 | return cmov2; |
duke@435 | 645 | } |
duke@435 | 646 | } |
duke@435 | 647 | |
duke@435 | 648 | // Fell thru, the unroll case is not appropriate. Transform the modulo |
duke@435 | 649 | // into a long multiply/int multiply/subtract case |
duke@435 | 650 | |
duke@435 | 651 | // Cannot handle mod 0, and min_jint isn't handled by the transform |
duke@435 | 652 | if( con == 0 || con == min_jint ) return NULL; |
duke@435 | 653 | |
duke@435 | 654 | // Get the absolute value of the constant; at this point, we can use this |
duke@435 | 655 | jint pos_con = (con >= 0) ? con : -con; |
duke@435 | 656 | |
duke@435 | 657 | // integer Mod 1 is always 0 |
duke@435 | 658 | if( pos_con == 1 ) return new (phase->C, 1) ConINode(TypeInt::ZERO); |
duke@435 | 659 | |
duke@435 | 660 | int log2_con = -1; |
duke@435 | 661 | |
duke@435 | 662 | // If this is a power of two, they maybe we can mask it |
duke@435 | 663 | if( is_power_of_2(pos_con) ) { |
duke@435 | 664 | log2_con = log2_intptr((intptr_t)pos_con); |
duke@435 | 665 | |
duke@435 | 666 | const Type *dt = phase->type(in(1)); |
duke@435 | 667 | const TypeInt *dti = dt->isa_int(); |
duke@435 | 668 | |
duke@435 | 669 | // See if this can be masked, if the dividend is non-negative |
duke@435 | 670 | if( dti && dti->_lo >= 0 ) |
duke@435 | 671 | return ( new (phase->C, 3) AndINode( in(1), phase->intcon( pos_con-1 ) ) ); |
duke@435 | 672 | } |
duke@435 | 673 | |
duke@435 | 674 | // Save in(1) so that it cannot be changed or deleted |
duke@435 | 675 | hook->init_req(0, in(1)); |
duke@435 | 676 | |
duke@435 | 677 | // Divide using the transform from DivI to MulL |
duke@435 | 678 | Node *divide = phase->transform( transform_int_divide_to_long_multiply( phase, in(1), pos_con ) ); |
duke@435 | 679 | |
duke@435 | 680 | // Re-multiply, using a shift if this is a power of two |
duke@435 | 681 | Node *mult = NULL; |
duke@435 | 682 | |
duke@435 | 683 | if( log2_con >= 0 ) |
duke@435 | 684 | mult = phase->transform( new (phase->C, 3) LShiftINode( divide, phase->intcon( log2_con ) ) ); |
duke@435 | 685 | else |
duke@435 | 686 | mult = phase->transform( new (phase->C, 3) MulINode( divide, phase->intcon( pos_con ) ) ); |
duke@435 | 687 | |
duke@435 | 688 | // Finally, subtract the multiplied divided value from the original |
duke@435 | 689 | Node *result = new (phase->C, 3) SubINode( in(1), mult ); |
duke@435 | 690 | |
duke@435 | 691 | // Now remove the bogus extra edges used to keep things alive |
duke@435 | 692 | if (can_reshape) { |
duke@435 | 693 | phase->is_IterGVN()->remove_dead_node(hook); |
duke@435 | 694 | } else { |
duke@435 | 695 | hook->set_req(0, NULL); // Just yank bogus edge during Parse phase |
duke@435 | 696 | } |
duke@435 | 697 | |
duke@435 | 698 | // return the value |
duke@435 | 699 | return result; |
duke@435 | 700 | } |
duke@435 | 701 | |
duke@435 | 702 | //------------------------------Value------------------------------------------ |
duke@435 | 703 | const Type *ModINode::Value( PhaseTransform *phase ) const { |
duke@435 | 704 | // Either input is TOP ==> the result is TOP |
duke@435 | 705 | const Type *t1 = phase->type( in(1) ); |
duke@435 | 706 | const Type *t2 = phase->type( in(2) ); |
duke@435 | 707 | if( t1 == Type::TOP ) return Type::TOP; |
duke@435 | 708 | if( t2 == Type::TOP ) return Type::TOP; |
duke@435 | 709 | |
duke@435 | 710 | // We always generate the dynamic check for 0. |
duke@435 | 711 | // 0 MOD X is 0 |
duke@435 | 712 | if( t1 == TypeInt::ZERO ) return TypeInt::ZERO; |
duke@435 | 713 | // X MOD X is 0 |
duke@435 | 714 | if( phase->eqv( in(1), in(2) ) ) return TypeInt::ZERO; |
duke@435 | 715 | |
duke@435 | 716 | // Either input is BOTTOM ==> the result is the local BOTTOM |
duke@435 | 717 | const Type *bot = bottom_type(); |
duke@435 | 718 | if( (t1 == bot) || (t2 == bot) || |
duke@435 | 719 | (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) ) |
duke@435 | 720 | return bot; |
duke@435 | 721 | |
duke@435 | 722 | const TypeInt *i1 = t1->is_int(); |
duke@435 | 723 | const TypeInt *i2 = t2->is_int(); |
duke@435 | 724 | if( !i1->is_con() || !i2->is_con() ) { |
duke@435 | 725 | if( i1->_lo >= 0 && i2->_lo >= 0 ) |
duke@435 | 726 | return TypeInt::POS; |
duke@435 | 727 | // If both numbers are not constants, we know little. |
duke@435 | 728 | return TypeInt::INT; |
duke@435 | 729 | } |
duke@435 | 730 | // Mod by zero? Throw exception at runtime! |
duke@435 | 731 | if( !i2->get_con() ) return TypeInt::POS; |
duke@435 | 732 | |
duke@435 | 733 | // We must be modulo'ing 2 float constants. |
duke@435 | 734 | // Check for min_jint % '-1', result is defined to be '0'. |
duke@435 | 735 | if( i1->get_con() == min_jint && i2->get_con() == -1 ) |
duke@435 | 736 | return TypeInt::ZERO; |
duke@435 | 737 | |
duke@435 | 738 | return TypeInt::make( i1->get_con() % i2->get_con() ); |
duke@435 | 739 | } |
duke@435 | 740 | |
duke@435 | 741 | |
duke@435 | 742 | //============================================================================= |
duke@435 | 743 | //------------------------------Idealize--------------------------------------- |
duke@435 | 744 | Node *ModLNode::Ideal(PhaseGVN *phase, bool can_reshape) { |
duke@435 | 745 | // Check for dead control input |
duke@435 | 746 | if( remove_dead_region(phase, can_reshape) ) return this; |
duke@435 | 747 | |
duke@435 | 748 | // Get the modulus |
duke@435 | 749 | const Type *t = phase->type( in(2) ); |
duke@435 | 750 | if( t == Type::TOP ) return NULL; |
duke@435 | 751 | const TypeLong *ti = t->is_long(); |
duke@435 | 752 | |
duke@435 | 753 | // Check for useless control input |
duke@435 | 754 | // Check for excluding mod-zero case |
duke@435 | 755 | if( in(0) && (ti->_hi < 0 || ti->_lo > 0) ) { |
duke@435 | 756 | set_req(0, NULL); // Yank control input |
duke@435 | 757 | return this; |
duke@435 | 758 | } |
duke@435 | 759 | |
duke@435 | 760 | // See if we are MOD'ing by 2^k or 2^k-1. |
duke@435 | 761 | if( !ti->is_con() ) return NULL; |
duke@435 | 762 | jlong con = ti->get_con(); |
duke@435 | 763 | bool m1 = false; |
duke@435 | 764 | if( !is_power_of_2_long(con) ) { // Not 2^k |
duke@435 | 765 | if( !is_power_of_2_long(con+1) ) // Not 2^k-1? |
duke@435 | 766 | return NULL; // No interesting mod hacks |
duke@435 | 767 | m1 = true; // Found 2^k-1 |
duke@435 | 768 | con++; // Convert to 2^k form |
duke@435 | 769 | } |
duke@435 | 770 | uint k = log2_long(con); // Extract k |
duke@435 | 771 | |
duke@435 | 772 | // Expand mod |
duke@435 | 773 | if( !m1 ) { // Case 2^k |
duke@435 | 774 | } else { // Case 2^k-1 |
duke@435 | 775 | // Basic algorithm by David Detlefs. See fastmod_long.java for gory details. |
duke@435 | 776 | // Used to help a popular random number generator which does a long-mod |
duke@435 | 777 | // of 2^31-1 and shows up in SpecJBB and SciMark. |
duke@435 | 778 | static int unroll_factor[] = { 999, 999, 61, 30, 20, 15, 12, 10, 8, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 /*past here we assume 1 forever*/}; |
duke@435 | 779 | int trip_count = 1; |
duke@435 | 780 | if( k < ARRAY_SIZE(unroll_factor)) trip_count = unroll_factor[k]; |
duke@435 | 781 | if( trip_count > 4 ) return NULL; // Too much unrolling |
duke@435 | 782 | if (ConditionalMoveLimit == 0) return NULL; // cmov is required |
duke@435 | 783 | |
duke@435 | 784 | Node *x = in(1); // Value being mod'd |
duke@435 | 785 | Node *divisor = in(2); // Also is mask |
duke@435 | 786 | |
duke@435 | 787 | Node *hook = new (phase->C, 1) Node(x); |
duke@435 | 788 | // Generate code to reduce X rapidly to nearly 2^k-1. |
duke@435 | 789 | for( int i = 0; i < trip_count; i++ ) { |
duke@435 | 790 | Node *xl = phase->transform( new (phase->C, 3) AndLNode(x,divisor) ); |
duke@435 | 791 | Node *xh = phase->transform( new (phase->C, 3) RShiftLNode(x,phase->intcon(k)) ); // Must be signed |
duke@435 | 792 | x = phase->transform( new (phase->C, 3) AddLNode(xh,xl) ); |
duke@435 | 793 | hook->set_req(0, x); // Add a use to x to prevent him from dying |
duke@435 | 794 | } |
duke@435 | 795 | // Generate sign-fixup code. Was original value positive? |
duke@435 | 796 | // long hack_res = (i >= 0) ? divisor : CONST64(1); |
duke@435 | 797 | Node *cmp1 = phase->transform( new (phase->C, 3) CmpLNode( in(1), phase->longcon(0) ) ); |
duke@435 | 798 | Node *bol1 = phase->transform( new (phase->C, 2) BoolNode( cmp1, BoolTest::ge ) ); |
duke@435 | 799 | Node *cmov1= phase->transform( new (phase->C, 4) CMoveLNode(bol1, phase->longcon(1), divisor, TypeLong::LONG) ); |
duke@435 | 800 | // if( x >= hack_res ) x -= divisor; |
duke@435 | 801 | Node *sub = phase->transform( new (phase->C, 3) SubLNode( x, divisor ) ); |
duke@435 | 802 | Node *cmp2 = phase->transform( new (phase->C, 3) CmpLNode( x, cmov1 ) ); |
duke@435 | 803 | Node *bol2 = phase->transform( new (phase->C, 2) BoolNode( cmp2, BoolTest::ge ) ); |
duke@435 | 804 | // Convention is to not transform the return value of an Ideal |
duke@435 | 805 | // since Ideal is expected to return a modified 'this' or a new node. |
duke@435 | 806 | Node *cmov2= new (phase->C, 4) CMoveLNode(bol2, x, sub, TypeLong::LONG); |
duke@435 | 807 | // cmov2 is now the mod |
duke@435 | 808 | |
duke@435 | 809 | // Now remove the bogus extra edges used to keep things alive |
duke@435 | 810 | if (can_reshape) { |
duke@435 | 811 | phase->is_IterGVN()->remove_dead_node(hook); |
duke@435 | 812 | } else { |
duke@435 | 813 | hook->set_req(0, NULL); // Just yank bogus edge during Parse phase |
duke@435 | 814 | } |
duke@435 | 815 | return cmov2; |
duke@435 | 816 | } |
duke@435 | 817 | return NULL; |
duke@435 | 818 | } |
duke@435 | 819 | |
duke@435 | 820 | //------------------------------Value------------------------------------------ |
duke@435 | 821 | const Type *ModLNode::Value( PhaseTransform *phase ) const { |
duke@435 | 822 | // Either input is TOP ==> the result is TOP |
duke@435 | 823 | const Type *t1 = phase->type( in(1) ); |
duke@435 | 824 | const Type *t2 = phase->type( in(2) ); |
duke@435 | 825 | if( t1 == Type::TOP ) return Type::TOP; |
duke@435 | 826 | if( t2 == Type::TOP ) return Type::TOP; |
duke@435 | 827 | |
duke@435 | 828 | // We always generate the dynamic check for 0. |
duke@435 | 829 | // 0 MOD X is 0 |
duke@435 | 830 | if( t1 == TypeLong::ZERO ) return TypeLong::ZERO; |
duke@435 | 831 | // X MOD X is 0 |
duke@435 | 832 | if( phase->eqv( in(1), in(2) ) ) return TypeLong::ZERO; |
duke@435 | 833 | |
duke@435 | 834 | // Either input is BOTTOM ==> the result is the local BOTTOM |
duke@435 | 835 | const Type *bot = bottom_type(); |
duke@435 | 836 | if( (t1 == bot) || (t2 == bot) || |
duke@435 | 837 | (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) ) |
duke@435 | 838 | return bot; |
duke@435 | 839 | |
duke@435 | 840 | const TypeLong *i1 = t1->is_long(); |
duke@435 | 841 | const TypeLong *i2 = t2->is_long(); |
duke@435 | 842 | if( !i1->is_con() || !i2->is_con() ) { |
duke@435 | 843 | if( i1->_lo >= CONST64(0) && i2->_lo >= CONST64(0) ) |
duke@435 | 844 | return TypeLong::POS; |
duke@435 | 845 | // If both numbers are not constants, we know little. |
duke@435 | 846 | return TypeLong::LONG; |
duke@435 | 847 | } |
duke@435 | 848 | // Mod by zero? Throw exception at runtime! |
duke@435 | 849 | if( !i2->get_con() ) return TypeLong::POS; |
duke@435 | 850 | |
duke@435 | 851 | // We must be modulo'ing 2 float constants. |
duke@435 | 852 | // Check for min_jint % '-1', result is defined to be '0'. |
duke@435 | 853 | if( i1->get_con() == min_jlong && i2->get_con() == -1 ) |
duke@435 | 854 | return TypeLong::ZERO; |
duke@435 | 855 | |
duke@435 | 856 | return TypeLong::make( i1->get_con() % i2->get_con() ); |
duke@435 | 857 | } |
duke@435 | 858 | |
duke@435 | 859 | |
duke@435 | 860 | //============================================================================= |
duke@435 | 861 | //------------------------------Value------------------------------------------ |
duke@435 | 862 | const Type *ModFNode::Value( PhaseTransform *phase ) const { |
duke@435 | 863 | // Either input is TOP ==> the result is TOP |
duke@435 | 864 | const Type *t1 = phase->type( in(1) ); |
duke@435 | 865 | const Type *t2 = phase->type( in(2) ); |
duke@435 | 866 | if( t1 == Type::TOP ) return Type::TOP; |
duke@435 | 867 | if( t2 == Type::TOP ) return Type::TOP; |
duke@435 | 868 | |
duke@435 | 869 | // Either input is BOTTOM ==> the result is the local BOTTOM |
duke@435 | 870 | const Type *bot = bottom_type(); |
duke@435 | 871 | if( (t1 == bot) || (t2 == bot) || |
duke@435 | 872 | (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) ) |
duke@435 | 873 | return bot; |
duke@435 | 874 | |
duke@435 | 875 | // If either is a NaN, return an input NaN |
duke@435 | 876 | if( g_isnan(t1->getf()) ) return t1; |
duke@435 | 877 | if( g_isnan(t2->getf()) ) return t2; |
duke@435 | 878 | |
duke@435 | 879 | // It is not worth trying to constant fold this stuff! |
duke@435 | 880 | return Type::FLOAT; |
duke@435 | 881 | |
duke@435 | 882 | /* |
duke@435 | 883 | // If dividend is infinity or divisor is zero, or both, the result is NaN |
duke@435 | 884 | if( !g_isfinite(t1->getf()) || ((t2->getf() == 0.0) || (jint_cast(t2->getf()) == 0x80000000)) ) |
duke@435 | 885 | |
duke@435 | 886 | // X MOD infinity = X |
duke@435 | 887 | if( !g_isfinite(t2->getf()) && !g_isnan(t2->getf()) ) return t1; |
duke@435 | 888 | // 0 MOD finite = dividend (positive or negative zero) |
duke@435 | 889 | // Not valid for: NaN MOD any; any MOD nan; 0 MOD 0; or for 0 MOD NaN |
duke@435 | 890 | // NaNs are handled previously. |
duke@435 | 891 | if( !(t2->getf() == 0.0) && !((int)t2->getf() == 0x80000000)) { |
duke@435 | 892 | if (((t1->getf() == 0.0) || ((int)t1->getf() == 0x80000000)) && g_isfinite(t2->getf()) ) { |
duke@435 | 893 | return t1; |
duke@435 | 894 | } |
duke@435 | 895 | } |
duke@435 | 896 | // X MOD X is 0 |
duke@435 | 897 | // Does not work for variables because of NaN's |
duke@435 | 898 | if( phase->eqv( in(1), in(2) ) && t1->base() == Type::FloatCon) |
duke@435 | 899 | if (!g_isnan(t1->getf()) && (t1->getf() != 0.0) && ((int)t1->getf() != 0x80000000)) { |
duke@435 | 900 | if(t1->getf() < 0.0) { |
duke@435 | 901 | float result = jfloat_cast(0x80000000); |
duke@435 | 902 | return TypeF::make( result ); |
duke@435 | 903 | } |
duke@435 | 904 | else |
duke@435 | 905 | return TypeF::ZERO; |
duke@435 | 906 | } |
duke@435 | 907 | |
duke@435 | 908 | // If both numbers are not constants, we know nothing. |
duke@435 | 909 | if( (t1->base() != Type::FloatCon) || (t2->base() != Type::FloatCon) ) |
duke@435 | 910 | return Type::FLOAT; |
duke@435 | 911 | |
duke@435 | 912 | // We must be modulo'ing 2 float constants. |
duke@435 | 913 | // Make sure that the sign of the fmod is equal to the sign of the dividend |
duke@435 | 914 | float result = (float)fmod( t1->getf(), t2->getf() ); |
duke@435 | 915 | float dividend = t1->getf(); |
duke@435 | 916 | if( (dividend < 0.0) || ((int)dividend == 0x80000000) ) { |
duke@435 | 917 | if( result > 0.0 ) |
duke@435 | 918 | result = 0.0 - result; |
duke@435 | 919 | else if( result == 0.0 ) { |
duke@435 | 920 | result = jfloat_cast(0x80000000); |
duke@435 | 921 | } |
duke@435 | 922 | } |
duke@435 | 923 | return TypeF::make( result ); |
duke@435 | 924 | */ |
duke@435 | 925 | } |
duke@435 | 926 | |
duke@435 | 927 | |
duke@435 | 928 | //============================================================================= |
duke@435 | 929 | //------------------------------Value------------------------------------------ |
duke@435 | 930 | const Type *ModDNode::Value( PhaseTransform *phase ) const { |
duke@435 | 931 | // Either input is TOP ==> the result is TOP |
duke@435 | 932 | const Type *t1 = phase->type( in(1) ); |
duke@435 | 933 | const Type *t2 = phase->type( in(2) ); |
duke@435 | 934 | if( t1 == Type::TOP ) return Type::TOP; |
duke@435 | 935 | if( t2 == Type::TOP ) return Type::TOP; |
duke@435 | 936 | |
duke@435 | 937 | // Either input is BOTTOM ==> the result is the local BOTTOM |
duke@435 | 938 | const Type *bot = bottom_type(); |
duke@435 | 939 | if( (t1 == bot) || (t2 == bot) || |
duke@435 | 940 | (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) ) |
duke@435 | 941 | return bot; |
duke@435 | 942 | |
duke@435 | 943 | // If either is a NaN, return an input NaN |
duke@435 | 944 | if( g_isnan(t1->getd()) ) return t1; |
duke@435 | 945 | if( g_isnan(t2->getd()) ) return t2; |
duke@435 | 946 | // X MOD infinity = X |
duke@435 | 947 | if( !g_isfinite(t2->getd())) return t1; |
duke@435 | 948 | // 0 MOD finite = dividend (positive or negative zero) |
duke@435 | 949 | // Not valid for: NaN MOD any; any MOD nan; 0 MOD 0; or for 0 MOD NaN |
duke@435 | 950 | // NaNs are handled previously. |
duke@435 | 951 | if( !(t2->getd() == 0.0) ) { |
duke@435 | 952 | if( t1->getd() == 0.0 && g_isfinite(t2->getd()) ) { |
duke@435 | 953 | return t1; |
duke@435 | 954 | } |
duke@435 | 955 | } |
duke@435 | 956 | |
duke@435 | 957 | // X MOD X is 0 |
duke@435 | 958 | // does not work for variables because of NaN's |
duke@435 | 959 | if( phase->eqv( in(1), in(2) ) && t1->base() == Type::DoubleCon ) |
duke@435 | 960 | if (!g_isnan(t1->getd()) && t1->getd() != 0.0) |
duke@435 | 961 | return TypeD::ZERO; |
duke@435 | 962 | |
duke@435 | 963 | |
duke@435 | 964 | // If both numbers are not constants, we know nothing. |
duke@435 | 965 | if( (t1->base() != Type::DoubleCon) || (t2->base() != Type::DoubleCon) ) |
duke@435 | 966 | return Type::DOUBLE; |
duke@435 | 967 | |
duke@435 | 968 | // We must be modulo'ing 2 double constants. |
duke@435 | 969 | return TypeD::make( fmod( t1->getd(), t2->getd() ) ); |
duke@435 | 970 | } |
duke@435 | 971 | |
duke@435 | 972 | //============================================================================= |
duke@435 | 973 | |
duke@435 | 974 | DivModNode::DivModNode( Node *c, Node *dividend, Node *divisor ) : MultiNode(3) { |
duke@435 | 975 | init_req(0, c); |
duke@435 | 976 | init_req(1, dividend); |
duke@435 | 977 | init_req(2, divisor); |
duke@435 | 978 | } |
duke@435 | 979 | |
duke@435 | 980 | //------------------------------make------------------------------------------ |
duke@435 | 981 | DivModINode* DivModINode::make(Compile* C, Node* div_or_mod) { |
duke@435 | 982 | Node* n = div_or_mod; |
duke@435 | 983 | assert(n->Opcode() == Op_DivI || n->Opcode() == Op_ModI, |
duke@435 | 984 | "only div or mod input pattern accepted"); |
duke@435 | 985 | |
duke@435 | 986 | DivModINode* divmod = new (C, 3) DivModINode(n->in(0), n->in(1), n->in(2)); |
duke@435 | 987 | Node* dproj = new (C, 1) ProjNode(divmod, DivModNode::div_proj_num); |
duke@435 | 988 | Node* mproj = new (C, 1) ProjNode(divmod, DivModNode::mod_proj_num); |
duke@435 | 989 | return divmod; |
duke@435 | 990 | } |
duke@435 | 991 | |
duke@435 | 992 | //------------------------------make------------------------------------------ |
duke@435 | 993 | DivModLNode* DivModLNode::make(Compile* C, Node* div_or_mod) { |
duke@435 | 994 | Node* n = div_or_mod; |
duke@435 | 995 | assert(n->Opcode() == Op_DivL || n->Opcode() == Op_ModL, |
duke@435 | 996 | "only div or mod input pattern accepted"); |
duke@435 | 997 | |
duke@435 | 998 | DivModLNode* divmod = new (C, 3) DivModLNode(n->in(0), n->in(1), n->in(2)); |
duke@435 | 999 | Node* dproj = new (C, 1) ProjNode(divmod, DivModNode::div_proj_num); |
duke@435 | 1000 | Node* mproj = new (C, 1) ProjNode(divmod, DivModNode::mod_proj_num); |
duke@435 | 1001 | return divmod; |
duke@435 | 1002 | } |
duke@435 | 1003 | |
duke@435 | 1004 | //------------------------------match------------------------------------------ |
duke@435 | 1005 | // return result(s) along with their RegMask info |
duke@435 | 1006 | Node *DivModINode::match( const ProjNode *proj, const Matcher *match ) { |
duke@435 | 1007 | uint ideal_reg = proj->ideal_reg(); |
duke@435 | 1008 | RegMask rm; |
duke@435 | 1009 | if (proj->_con == div_proj_num) { |
duke@435 | 1010 | rm = match->divI_proj_mask(); |
duke@435 | 1011 | } else { |
duke@435 | 1012 | assert(proj->_con == mod_proj_num, "must be div or mod projection"); |
duke@435 | 1013 | rm = match->modI_proj_mask(); |
duke@435 | 1014 | } |
duke@435 | 1015 | return new (match->C, 1)MachProjNode(this, proj->_con, rm, ideal_reg); |
duke@435 | 1016 | } |
duke@435 | 1017 | |
duke@435 | 1018 | |
duke@435 | 1019 | //------------------------------match------------------------------------------ |
duke@435 | 1020 | // return result(s) along with their RegMask info |
duke@435 | 1021 | Node *DivModLNode::match( const ProjNode *proj, const Matcher *match ) { |
duke@435 | 1022 | uint ideal_reg = proj->ideal_reg(); |
duke@435 | 1023 | RegMask rm; |
duke@435 | 1024 | if (proj->_con == div_proj_num) { |
duke@435 | 1025 | rm = match->divL_proj_mask(); |
duke@435 | 1026 | } else { |
duke@435 | 1027 | assert(proj->_con == mod_proj_num, "must be div or mod projection"); |
duke@435 | 1028 | rm = match->modL_proj_mask(); |
duke@435 | 1029 | } |
duke@435 | 1030 | return new (match->C, 1)MachProjNode(this, proj->_con, rm, ideal_reg); |
duke@435 | 1031 | } |