/* * Copyright 2012 ZXing authors * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ #import "ZXGenericGF.h" #import "ZXGenericGFPoly.h" #import "ZXIntArray.h" @interface ZXGenericGF () @property (nonatomic, assign, readonly) int32_t *expTable; @property (nonatomic, assign, readonly) int32_t *logTable; @property (nonatomic, assign, readonly) int primitive; @end @implementation ZXGenericGF { ZXGenericGFPoly *_one; ZXGenericGFPoly *_zero; } - (id)initWithPrimitive:(int)primitive size:(int)size b:(int)b { if (self = [super init]) { _primitive = primitive; _size = size; _generatorBase = b; _expTable = (int32_t *)calloc(self.size, sizeof(int32_t)); _logTable = (int32_t *)calloc(self.size, sizeof(int32_t)); int32_t x = 1; for (int i = 0; i < self.size; i++) { _expTable[i] = x; x <<= 1; // we're assuming the generator alpha is 2 if (x >= self.size) { x ^= (int32_t)self.primitive; x &= (int32_t)self.size - 1; } } for (int32_t i = 0; i < (int32_t)self.size-1; i++) { _logTable[_expTable[i]] = i; } // logTable[0] == 0 but this should never be used _zero = [[ZXGenericGFPoly alloc] initWithField:self coefficients:[[ZXIntArray alloc] initWithLength:1]]; _one = [[ZXGenericGFPoly alloc] initWithField:self coefficients:[[ZXIntArray alloc] initWithInts:1, -1]]; } return self; } + (ZXGenericGF *)AztecData12 { static ZXGenericGF *AztecData12 = nil; static dispatch_once_t onceToken; dispatch_once(&onceToken, ^{ AztecData12 = [[ZXGenericGF alloc] initWithPrimitive:0x1069 size:4096 b:1]; // x^12 + x^6 + x^5 + x^3 + 1 }); return AztecData12; } + (ZXGenericGF *)AztecData10 { static ZXGenericGF *AztecData10 = nil; static dispatch_once_t onceToken; dispatch_once(&onceToken, ^{ AztecData10 = [[ZXGenericGF alloc] initWithPrimitive:0x409 size:1024 b:1]; // x^10 + x^3 + 1 }); return AztecData10; } + (ZXGenericGF *)AztecData6 { static ZXGenericGF *AztecData6 = nil; static dispatch_once_t onceToken; dispatch_once(&onceToken, ^{ AztecData6 = [[ZXGenericGF alloc] initWithPrimitive:0x43 size:64 b:1]; // x^6 + x + 1 }); return AztecData6; } + (ZXGenericGF *)AztecParam { static ZXGenericGF *AztecParam = nil; static dispatch_once_t onceToken; dispatch_once(&onceToken, ^{ AztecParam = [[ZXGenericGF alloc] initWithPrimitive:0x13 size:16 b:1]; // x^4 + x + 1 }); return AztecParam; } + (ZXGenericGF *)QrCodeField256 { static ZXGenericGF *QrCodeField256 = nil; static dispatch_once_t onceToken; dispatch_once(&onceToken, ^{ QrCodeField256 = [[ZXGenericGF alloc] initWithPrimitive:0x011D size:256 b:0]; // x^8 + x^4 + x^3 + x^2 + 1 }); return QrCodeField256; } + (ZXGenericGF *)DataMatrixField256 { static ZXGenericGF *DataMatrixField256 = nil; static dispatch_once_t onceToken; dispatch_once(&onceToken, ^{ DataMatrixField256 = [[ZXGenericGF alloc] initWithPrimitive:0x012D size:256 b:1]; // x^8 + x^5 + x^3 + x^2 + 1 }); return DataMatrixField256; } + (ZXGenericGF *)AztecData8 { return [self DataMatrixField256]; } + (ZXGenericGF *)MaxiCodeField64 { return [self AztecData6]; } - (ZXGenericGFPoly *)buildMonomial:(int)degree coefficient:(int32_t)coefficient { if (degree < 0) { [NSException raise:NSInvalidArgumentException format:@"Degree must be greater than 0."]; } if (coefficient == 0) { return self.zero; } ZXIntArray *coefficients = [[ZXIntArray alloc] initWithLength:degree + 1]; coefficients.array[0] = coefficient; return [[ZXGenericGFPoly alloc] initWithField:self coefficients:coefficients]; } + (int32_t)addOrSubtract:(int32_t)a b:(int32_t)b { return a ^ b; } - (int32_t)exp:(int)a { return _expTable[a]; } - (int32_t)log:(int)a { if (a == 0) { [NSException raise:NSInvalidArgumentException format:@"Argument must be non-zero."]; } return _logTable[a]; } - (int32_t)inverse:(int)a { if (a == 0) { [NSException raise:NSInvalidArgumentException format:@"Argument must be non-zero."]; } return _expTable[_size - _logTable[a] - 1]; } - (int32_t)multiply:(int)a b:(int)b { if (a == 0 || b == 0) { return 0; } return _expTable[(_logTable[a] + _logTable[b]) % (_size - 1)]; } - (BOOL)isEqual:(ZXGenericGF *)object { return self.primitive == object.primitive && self.size == object.size; } - (NSString *)description { return [NSString stringWithFormat:@"GF(0x%X,%d)", self.primitive, self.size]; } @end