| 1 | /* ============================================================= |
| 2 | * SmallSQL : a free Java DBMS library for the Java(tm) platform |
| 3 | * ============================================================= |
| 4 | * |
| 5 | * (C) Copyright 2004-2006, by Volker Berlin. |
| 6 | * |
| 7 | * Project Info: http://www.smallsql.de/ |
| 8 | * |
| 9 | * This library is free software; you can redistribute it and/or modify it |
| 10 | * under the terms of the GNU Lesser General Public License as published by |
| 11 | * the Free Software Foundation; either version 2.1 of the License, or |
| 12 | * (at your option) any later version. |
| 13 | * |
| 14 | * This library is distributed in the hope that it will be useful, but |
| 15 | * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
| 16 | * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public |
| 17 | * License for more details. |
| 18 | * |
| 19 | * You should have received a copy of the GNU Lesser General Public |
| 20 | * License along with this library; if not, write to the Free Software |
| 21 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, |
| 22 | * USA. |
| 23 | * |
| 24 | * [Java is a trademark or registered trademark of Sun Microsystems, Inc. |
| 25 | * in the United States and other countries.] |
| 26 | * |
| 27 | * --------------- |
| 28 | * MutableNumeric.java |
| 29 | * --------------- |
| 30 | * Author: Volker Berlin |
| 31 | * |
| 32 | */ |
| 33 | package smallsql.database; |
| 34 | |
| 35 | import java.math.*; |
| 36 | |
| 37 | public class MutableNumeric extends Number implements Mutable{ |
| 38 | |
| 39 | int[] value; |
| 40 | int scale; |
| 41 | int signum; |
| 42 | |
| 43 | private int[] addIntVal; //array with the size of 1 |
| 44 | |
| 45 | // most significat value ist an position 0 |
| 46 | MutableNumeric(byte[] complement){ |
| 47 | setValue(complement); |
| 48 | } |
| 49 | |
| 50 | private void setValue(byte[] complement){ |
| 51 | int length = complement.length; |
| 52 | if(length == 0){ |
| 53 | value = EMPTY_INTS; |
| 54 | signum = 0; |
| 55 | return; |
| 56 | } |
| 57 | value = new int[ (length + 3) / 4 ]; |
| 58 | if(complement[0] < 0){ |
| 59 | negate( complement ); |
| 60 | signum = -1; |
| 61 | }else{ |
| 62 | signum = 0; |
| 63 | for(int i=0; i<complement.length; i++) |
| 64 | if(complement[i] != 0){ |
| 65 | signum = 1; |
| 66 | break; |
| 67 | } |
| 68 | } |
| 69 | for(int v=value.length-1; v>=0; v--){ |
| 70 | int temp = 0; |
| 71 | for(int i=0; i<4 && 0<length; i++){ |
| 72 | temp |= (complement[ --length ] & 0xFF) << (i*8); |
| 73 | } |
| 74 | value[v] = temp; |
| 75 | } |
| 76 | } |
| 77 | |
| 78 | MutableNumeric(int complement){ |
| 79 | if(complement == 0){ |
| 80 | signum = 0; |
| 81 | value = EMPTY_INTS; |
| 82 | }else{ |
| 83 | value = new int[1]; |
| 84 | if(complement < 0){ |
| 85 | value[0] = -complement; |
| 86 | signum = -1; |
| 87 | }else{ |
| 88 | value[0] = complement; |
| 89 | signum = 1; |
| 90 | } |
| 91 | } |
| 92 | } |
| 93 | |
| 94 | MutableNumeric(int complement, int scale){ |
| 95 | this( complement ); |
| 96 | this.scale = scale; |
| 97 | } |
| 98 | |
| 99 | MutableNumeric(long complement){ |
| 100 | if(complement == 0){ |
| 101 | signum = 0; |
| 102 | value = EMPTY_INTS; |
| 103 | }else{ |
| 104 | value = new int[2]; |
| 105 | if(complement < 0){ |
| 106 | value[0] = (int)(~(complement >> 32)); |
| 107 | value[1] = (int)(-complement); |
| 108 | signum = -1; |
| 109 | }else{ |
| 110 | value[0] = (int)(complement >> 32); |
| 111 | value[1] = (int)complement; |
| 112 | signum = 1; |
| 113 | } |
| 114 | } |
| 115 | } |
| 116 | |
| 117 | MutableNumeric(long complement, int scale){ |
| 118 | this( complement ); |
| 119 | this.scale = scale; |
| 120 | } |
| 121 | |
| 122 | MutableNumeric(double val){ |
| 123 | //first convert it to a string, because double to BigDecimal has very large rounding bug |
| 124 | this( new BigDecimal( String.valueOf(val) ) ); |
| 125 | } |
| 126 | |
| 127 | MutableNumeric(float val){ |
| 128 | //first convert it to a string, because float to BigDecimal has very large rounding bug |
| 129 | this( new BigDecimal( String.valueOf(val) ) ); |
| 130 | } |
| 131 | |
| 132 | MutableNumeric(String val){ |
| 133 | this( new BigDecimal( val ) ); |
| 134 | } |
| 135 | |
| 136 | MutableNumeric( BigDecimal big ){ |
| 137 | this(big.unscaledValue().toByteArray() ); |
| 138 | scale = big.scale(); |
| 139 | } |
| 140 | |
| 141 | MutableNumeric(int signum, int[] value, int scale){ |
| 142 | this.signum = signum; |
| 143 | this.value = value; |
| 144 | this.scale = scale; |
| 145 | } |
| 146 | |
| 147 | MutableNumeric(MutableNumeric numeric){ |
| 148 | this.signum = numeric.signum; |
| 149 | this.value = new int[numeric.value.length]; |
| 150 | System.arraycopy(numeric.value, 0, value, 0, value.length); |
| 151 | this.scale = numeric.scale; |
| 152 | } |
| 153 | |
| 154 | |
| 155 | // Addiert den Wert zum aktuellen MutableNumeric Object und verändert es. |
| 156 | void add(MutableNumeric num){ |
| 157 | if(num.scale < scale){ |
| 158 | num.setScale(scale); |
| 159 | }else |
| 160 | if(num.scale > scale){ |
| 161 | setScale(num.scale); |
| 162 | } |
| 163 | add( num.signum, num.value ); |
| 164 | } |
| 165 | |
| 166 | |
| 167 | private void add( int sig2, int[] val2){ |
| 168 | if(val2.length > value.length){ |
| 169 | int[] temp = val2; |
| 170 | val2 = value; |
| 171 | value = temp; |
| 172 | int tempi = signum; |
| 173 | signum = sig2; |
| 174 | sig2 = tempi; |
| 175 | } |
| 176 | if(signum != sig2) |
| 177 | sub(val2); |
| 178 | else |
| 179 | add(val2); |
| 180 | } |
| 181 | |
| 182 | // val2 ist kürzer oder gleich lang wie value |
| 183 | // die signum werte habe beide das gleiche Vorzeichen |
| 184 | private void add( int[] val2){ |
| 185 | long temp = 0; |
| 186 | int v1 = value.length; |
| 187 | for(int v2 = val2.length; v2>0; ){ |
| 188 | temp = (value[--v1] & 0xFFFFFFFFL) + (val2 [--v2] & 0xFFFFFFFFL) + (temp >>> 32); |
| 189 | value[v1] = (int)temp; |
| 190 | } |
| 191 | boolean uebertrag = (temp >>> 32) != 0; |
| 192 | while(v1 > 0 && uebertrag) |
| 193 | uebertrag = (value[--v1] = value[v1] + 1) == 0; |
| 194 | |
| 195 | // vergrößern, wenn notwendig |
| 196 | if(uebertrag){ |
| 197 | resizeValue(1); |
| 198 | } |
| 199 | } |
| 200 | |
| 201 | |
| 202 | |
| 203 | /** |
| 204 | * Resize the value mantisse with a carryover. |
| 205 | * @param highBits Is the high value that is save on the resize place. |
| 206 | */ |
| 207 | private void resizeValue(int highBits){ |
| 208 | int val[] = new int[value.length+1]; |
| 209 | val[0] = highBits; |
| 210 | System.arraycopy(value, 0, val, 1, value.length); |
| 211 | value = val; |
| 212 | } |
| 213 | |
| 214 | |
| 215 | // Subtrahiert den Wert zum aktuellen MutableNumeric Object und verändert es. |
| 216 | void sub(MutableNumeric num){ |
| 217 | if(num.scale < scale){ |
| 218 | num.setScale(scale); |
| 219 | }else |
| 220 | if(num.scale > scale){ |
| 221 | setScale(num.scale); |
| 222 | } |
| 223 | add( -num.signum, num.value ); |
| 224 | } |
| 225 | |
| 226 | // val2 ist kürzer oder gleich lang wie value |
| 227 | // val2 wird von der aktuellen Zahl abgezogen |
| 228 | private void sub(int[] val2){ |
| 229 | long temp = 0; |
| 230 | int v1 = value.length; |
| 231 | for(int v2 = val2.length; v2>0; ){ |
| 232 | temp = (value[--v1] & 0xFFFFFFFFL) - (val2 [--v2] & 0xFFFFFFFFL) + (temp >>>= 32); |
| 233 | value[v1] = (int)temp; |
| 234 | } |
| 235 | |
| 236 | boolean uebertrag = (temp >>> 32) != 0; |
| 237 | while(v1 > 0 && uebertrag) |
| 238 | uebertrag = (value[--v1] = value[v1] - 1) == -1; |
| 239 | |
| 240 | if(uebertrag){ |
| 241 | signum = -signum; |
| 242 | int last = value.length-1; |
| 243 | for(int i=0; i<=last; i++){ |
| 244 | value[i] = (i == last) ? -value[i] : ~value[i]; |
| 245 | } |
| 246 | } |
| 247 | } |
| 248 | |
| 249 | void mul(MutableNumeric num){ |
| 250 | //TODO performance |
| 251 | BigDecimal big = toBigDecimal().multiply(num.toBigDecimal() ); |
| 252 | setValue( big.unscaledValue().toByteArray() ); |
| 253 | scale = big.scale(); |
| 254 | signum = big.signum(); |
| 255 | } |
| 256 | |
| 257 | final void mul(int factor){ |
| 258 | if(factor < 0){ |
| 259 | factor = - factor; |
| 260 | signum = -signum; |
| 261 | } |
| 262 | long carryover = 0; |
| 263 | for(int i = value.length-1; i>=0; i--){ |
| 264 | long v = (value[i] & 0xFFFFFFFFL) * factor + carryover; |
| 265 | value[i] = (int)v; |
| 266 | carryover = v >> 32; |
| 267 | } |
| 268 | if(carryover > 0){ |
| 269 | resizeValue( (int)carryover ); |
| 270 | } |
| 271 | } |
| 272 | |
| 273 | |
| 274 | void div(MutableNumeric num){ |
| 275 | //TODO performance |
| 276 | int newScale = Math.max(scale+5, num.scale +4); |
| 277 | BigDecimal big = toBigDecimal().divide(num.toBigDecimal(), newScale, BigDecimal.ROUND_HALF_EVEN); |
| 278 | setValue( big.unscaledValue().toByteArray() ); |
| 279 | scale = big.scale(); |
| 280 | signum = big.signum(); |
| 281 | } |
| 282 | |
| 283 | |
| 284 | final void div(int quotient){ |
| 285 | //increment the scale with 5 |
| 286 | mul(100000); |
| 287 | scale += 5; |
| 288 | |
| 289 | divImpl(quotient); |
| 290 | } |
| 291 | |
| 292 | |
| 293 | final private void divImpl(int quotient){ |
| 294 | if(quotient == 1) return; |
| 295 | if(quotient < 0){ |
| 296 | quotient = - quotient; |
| 297 | signum = -signum; |
| 298 | } |
| 299 | int valueLength = value.length; |
| 300 | long carryover = 0; |
| 301 | for(int i = 0; i<valueLength; i++){ |
| 302 | long v = (value[i] & 0xFFFFFFFFL) + carryover; |
| 303 | value[i] = (int)(v / quotient); |
| 304 | carryover = ((v % quotient) << 32); |
| 305 | } |
| 306 | carryover /= quotient; |
| 307 | if(carryover > 2147483648L || //2147483648L == Integer.MAX_VALUE+1 |
| 308 | (carryover == 2147483648L && (value[valueLength-1] % 2 == 1))){ |
| 309 | int i = valueLength-1; |
| 310 | boolean isCarryOver = true; |
| 311 | while(i >= 0 && isCarryOver) |
| 312 | isCarryOver = (value[i--] += 1) == 0; |
| 313 | } |
| 314 | if(valueLength>1 && value[0] == 0){ |
| 315 | int[] temp = new int[valueLength-1]; |
| 316 | System.arraycopy(value, 1, temp, 0, valueLength-1); |
| 317 | value = temp; |
| 318 | } |
| 319 | |
| 320 | } |
| 321 | |
| 322 | |
| 323 | void mod(MutableNumeric num){ |
| 324 | //TODO performance |
| 325 | num = new MutableNumeric( doubleValue() % num.doubleValue() ); |
| 326 | value = num.value; |
| 327 | scale = num.scale; |
| 328 | signum = num.signum; |
| 329 | } |
| 330 | |
| 331 | |
| 332 | |
| 333 | void setScale(int newScale){ |
| 334 | if(newScale == scale) return; |
| 335 | int factor = 1; |
| 336 | if(newScale > scale){ |
| 337 | for(;newScale>scale; scale++){ |
| 338 | factor *=10; |
| 339 | if(factor == 1000000000){ |
| 340 | mul(factor); |
| 341 | factor = 1; |
| 342 | } |
| 343 | } |
| 344 | mul(factor); |
| 345 | }else{ |
| 346 | for(;newScale<scale; scale--){ |
| 347 | factor *=10; |
| 348 | if(factor == 1000000000){ |
| 349 | divImpl(factor); |
| 350 | factor = 1; |
| 351 | } |
| 352 | } |
| 353 | divImpl(factor); |
| 354 | } |
| 355 | } |
| 356 | |
| 357 | |
| 358 | void floor(){ |
| 359 | //TODO performance |
| 360 | int oldScale = scale; |
| 361 | setScale(0); |
| 362 | setScale(oldScale); |
| 363 | } |
| 364 | |
| 365 | |
| 366 | private void negate(byte[] complement){ |
| 367 | int last = complement.length-1; |
| 368 | for(int i=0; i<=last; i++){ |
| 369 | complement[i] = (byte)( (i == last) ? -complement[i] : ~complement[i]); |
| 370 | } |
| 371 | } |
| 372 | |
| 373 | // Konvertiert es in ein 2 Komplement, wie es von BigInteger verarbeitet werden kann |
| 374 | // die Länge ist immer ein vielfaches von 4 |
| 375 | byte[] toByteArray(){ |
| 376 | if(signum == 0) return EMPTY_BYTES; |
| 377 | byte[] complement; |
| 378 | int offset; |
| 379 | |
| 380 | int v = 0; |
| 381 | for( ;v < value.length && value[v] == 0; v++ ) ; |
| 382 | if (v == value.length) return EMPTY_BYTES; |
| 383 | |
| 384 | if(value[v] < 0){ |
| 385 | // wenn das most signifikante bit ist gesetzt, dann muß vergrößert werden, |
| 386 | // weil es für das Vorzeichen bnötigt wird. |
| 387 | complement = new byte[(value.length-v)*4 + 4]; |
| 388 | if(signum < 0) |
| 389 | complement[0] = complement[1] = complement[2] = complement[3] = -1; |
| 390 | offset = 4; |
| 391 | }else{ |
| 392 | complement = new byte[(value.length-v)*4]; |
| 393 | offset = 0; |
| 394 | } |
| 395 | int last = value.length-1; |
| 396 | for(; v <= last; v++){ |
| 397 | int val = (signum>0) ? value[v] : (v == last) ? -value[v] : ~value[v]; |
| 398 | complement[offset++] = (byte)(val >> 24); |
| 399 | complement[offset++] = (byte)(val >> 16); |
| 400 | complement[offset++] = (byte)(val >> 8); |
| 401 | complement[offset++] = (byte)(val); |
| 402 | } |
| 403 | return complement; |
| 404 | } |
| 405 | |
| 406 | public int intValue(){ |
| 407 | return Utils.long2int(longValue()); |
| 408 | } |
| 409 | |
| 410 | |
| 411 | public long longValue(){ |
| 412 | if(value.length == 0 || signum == 0){ |
| 413 | return 0; |
| 414 | }else{ |
| 415 | if (value.length == 1 && (value[0] > 0)){ |
| 416 | // einfacher Integer Wert |
| 417 | return Utils.double2long(value[0] / scaleDoubleFactor[scale] * signum); |
| 418 | }else |
| 419 | if (value.length == 1){ |
| 420 | // überlaufender Integer Wert |
| 421 | long temp = value[0] & 0xFFFFFFFFL; |
| 422 | return Utils.double2long(temp / scaleDoubleFactor[scale] * signum); |
| 423 | }else |
| 424 | if (value.length == 2 && (value[0] > 0)){ |
| 425 | // einfacher Long Wert |
| 426 | long temp = (((long)value[0]) << 32) | (value[1] & 0xFFFFFFFFL); |
| 427 | return Utils.double2long(temp / scaleDoubleFactor[scale] * signum); |
| 428 | }else{ |
| 429 | if(scale != 0){ |
| 430 | MutableNumeric numeric = new MutableNumeric(this); |
| 431 | numeric.setScale(0); |
| 432 | return numeric.longValue(); |
| 433 | } |
| 434 | return (signum > 0) ? Long.MAX_VALUE : Long.MIN_VALUE; |
| 435 | } |
| 436 | } |
| 437 | } |
| 438 | |
| 439 | |
| 440 | public float floatValue(){ |
| 441 | if(value.length == 0 || signum == 0){ |
| 442 | return 0; |
| 443 | }else{ |
| 444 | if (value.length == 1 && (value[0] > 0)){ |
| 445 | // einfacher Integer Wert |
| 446 | return value[0] / scaleFloatFactor[scale] * signum; |
| 447 | }else |
| 448 | if (value.length == 1){ |
| 449 | // überlaufender Integer Wert |
| 450 | long temp = value[0] & 0xFFFFFFFFL; |
| 451 | return temp / scaleFloatFactor[scale] * signum; |
| 452 | }else |
| 453 | if (value.length == 2 && (value[0] > 0)){ |
| 454 | // einfacher Long Wert |
| 455 | long temp = (((long)value[0]) << 32) | (value[1] & 0xFFFFFFFFL); |
| 456 | return temp / scaleFloatFactor[scale] * signum; |
| 457 | }else{ |
| 458 | return new BigDecimal( new BigInteger( toByteArray() ), scale ).floatValue(); |
| 459 | } |
| 460 | } |
| 461 | } |
| 462 | |
| 463 | public double doubleValue(){ |
| 464 | if(value.length == 0 || signum == 0){ |
| 465 | return 0; |
| 466 | }else{ |
| 467 | if (value.length == 1 && (value[0] > 0)){ |
| 468 | // einfacher Integer Wert |
| 469 | return value[0] / scaleDoubleFactor[scale] * signum; |
| 470 | }else |
| 471 | if (value.length == 1){ |
| 472 | // überlaufender Integer Wert |
| 473 | long temp = value[0] & 0xFFFFFFFFL; |
| 474 | return temp / scaleDoubleFactor[scale] * signum; |
| 475 | }else |
| 476 | if (value.length == 2 && (value[0] > 0)){ |
| 477 | // einfacher Long Wert |
| 478 | long temp = (((long)value[0]) << 32) | (value[1] & 0xFFFFFFFFL); |
| 479 | return temp / scaleDoubleFactor[scale] * signum; |
| 480 | }else{ |
| 481 | return new BigDecimal( new BigInteger( toByteArray() ), scale ).doubleValue(); |
| 482 | } |
| 483 | } |
| 484 | } |
| 485 | |
| 486 | public String toString(){ |
| 487 | StringBuffer buf = new StringBuffer(); |
| 488 | if(value.length == 0 || signum == 0){ |
| 489 | buf.append( '0' ); |
| 490 | }else{ |
| 491 | if (value.length == 1 && (value[0] > 0)){ |
| 492 | // einfacher Integer Wert |
| 493 | buf.append( Integer.toString(value[0]) ); |
| 494 | }else |
| 495 | if (value.length == 1){ |
| 496 | // überlaufender Integer Wert |
| 497 | long temp = value[0] & 0xFFFFFFFFL; |
| 498 | buf.append( Long.toString( temp ) ); |
| 499 | }else |
| 500 | if (value.length == 2 && (value[0] > 0)){ |
| 501 | // einfacher Long Wert |
| 502 | long temp = (((long)value[0]) << 32) | (value[1] & 0xFFFFFFFFL); |
| 503 | buf.append( Long.toString( temp ) ); |
| 504 | }else{ |
| 505 | return new BigDecimal( new BigInteger( toByteArray() ), scale ).toString(); |
| 506 | } |
| 507 | } |
| 508 | if(scale > 0){ |
| 509 | while(buf.length() <= scale) buf.insert( 0, '0' ); |
| 510 | buf.insert( buf.length() - scale, '.' ); |
| 511 | } |
| 512 | if (signum < 0) buf.insert( 0, '-'); |
| 513 | return buf.toString(); |
| 514 | } |
| 515 | |
| 516 | public int compareTo(MutableNumeric numeric){ |
| 517 | //TODO performance |
| 518 | return toBigDecimal().compareTo(numeric.toBigDecimal()); |
| 519 | } |
| 520 | |
| 521 | public boolean equals(Object obj){ |
| 522 | if(!(obj instanceof MutableNumeric)) return false; |
| 523 | return compareTo((MutableNumeric)obj) == 0; |
| 524 | } |
| 525 | |
| 526 | public BigDecimal toBigDecimal(){ |
| 527 | if(signum == 0) return new BigDecimal( BigInteger.ZERO, scale); |
| 528 | return new BigDecimal( new BigInteger( toByteArray() ), scale ); |
| 529 | } |
| 530 | |
| 531 | public BigDecimal toBigDecimal(int scale){ |
| 532 | if(scale == this.scale) return toBigDecimal(); |
| 533 | return toBigDecimal().setScale( scale, BigDecimal.ROUND_HALF_EVEN); |
| 534 | } |
| 535 | |
| 536 | public Object getImmutableObject(){ |
| 537 | return toBigDecimal(); |
| 538 | } |
| 539 | |
| 540 | private static final byte[] EMPTY_BYTES = new byte[0]; |
| 541 | private static final int [] EMPTY_INTS = new int [0]; |
| 542 | private static final double[] scaleDoubleFactor = { 1, 10, 100, 1000, 10000, 100000, 1000000 }; |
| 543 | private static final float[] scaleFloatFactor = { 1, 10, 100, 1000, 10000, 100000, 1000000 }; |
| 544 | } |