1// Copyright 2014 PDFium Authors. All rights reserved. 2// Use of this source code is governed by a BSD-style license that can be 3// found in the LICENSE file. 4 5// Original code by Matt McCutchen, see the LICENSE file. 6 7#ifndef BIGUNSIGNEDINABASE_H 8#define BIGUNSIGNEDINABASE_H 9 10#include "NumberlikeArray.hh" 11#include "BigUnsigned.hh" 12#include <string> 13 14/* 15 * A BigUnsignedInABase object represents a nonnegative integer of size limited 16 * only by available memory, represented in a user-specified base that can fit 17 * in an `unsigned short' (most can, and this saves memory). 18 * 19 * BigUnsignedInABase is intended as an intermediary class with little 20 * functionality of its own. BigUnsignedInABase objects can be constructed 21 * from, and converted to, BigUnsigneds (requiring multiplication, mods, etc.) 22 * and `std::string's (by switching digit values for appropriate characters). 23 * 24 * BigUnsignedInABase is similar to BigUnsigned. Note the following: 25 * 26 * (1) They represent the number in exactly the same way, except that 27 * BigUnsignedInABase uses ``digits'' (or Digit) where BigUnsigned uses 28 * ``blocks'' (or Blk). 29 * 30 * (2) Both use the management features of NumberlikeArray. (In fact, my desire 31 * to add a BigUnsignedInABase class without duplicating a lot of code led me to 32 * introduce NumberlikeArray.) 33 * 34 * (3) The only arithmetic operation supported by BigUnsignedInABase is an 35 * equality test. Use BigUnsigned for arithmetic. 36 */ 37 38class BigUnsignedInABase : protected NumberlikeArray<unsigned short> { 39 40public: 41 // The digits of a BigUnsignedInABase are unsigned shorts. 42 typedef unsigned short Digit; 43 // That's also the type of a base. 44 typedef Digit Base; 45 46protected: 47 // The base in which this BigUnsignedInABase is expressed 48 Base base; 49 50 // Creates a BigUnsignedInABase with a capacity; for internal use. 51 BigUnsignedInABase(int, Index c) : NumberlikeArray<Digit>(0, c) {} 52 53 // Decreases len to eliminate any leading zero digits. 54 void zapLeadingZeros() { 55 while (len > 0 && blk[len - 1] == 0) 56 len--; 57 } 58 59public: 60 // Constructs zero in base 2. 61 BigUnsignedInABase() : NumberlikeArray<Digit>(), base(2) {} 62 63 // Copy constructor 64 BigUnsignedInABase(const BigUnsignedInABase &x) : NumberlikeArray<Digit>(x), base(x.base) {} 65 66 // Assignment operator 67 void operator =(const BigUnsignedInABase &x) { 68 NumberlikeArray<Digit>::operator =(x); 69 base = x.base; 70 } 71 72 // Constructor that copies from a given array of digits. 73 BigUnsignedInABase(const Digit *d, Index l, Base base); 74 75 // Destructor. NumberlikeArray does the delete for us. 76 ~BigUnsignedInABase() {} 77 78 // LINKS TO BIGUNSIGNED 79 BigUnsignedInABase(const BigUnsigned &x, Base base); 80 operator BigUnsigned() const; 81 82 /* LINKS TO STRINGS 83 * 84 * These use the symbols ``0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'' to 85 * represent digits of 0 through 35. When parsing strings, lowercase is 86 * also accepted. 87 * 88 * All string representations are big-endian (big-place-value digits 89 * first). (Computer scientists have adopted zero-based counting; why 90 * can't they tolerate little-endian numbers?) 91 * 92 * No string representation has a ``base indicator'' like ``0x''. 93 * 94 * An exception is made for zero: it is converted to ``0'' and not the 95 * empty string. 96 * 97 * If you want different conventions, write your own routines to go 98 * between BigUnsignedInABase and strings. It's not hard. 99 */ 100 operator std::string() const; 101 BigUnsignedInABase(const std::string &s, Base base); 102 103public: 104 105 // ACCESSORS 106 Base getBase() const { return base; } 107 108 // Expose these from NumberlikeArray directly. 109 using NumberlikeArray<Digit>::getCapacity; 110 using NumberlikeArray<Digit>::getLength; 111 112 /* Returns the requested digit, or 0 if it is beyond the length (as if 113 * the number had 0s infinitely to the left). */ 114 Digit getDigit(Index i) const { return i >= len ? 0 : blk[i]; } 115 116 // The number is zero if and only if the canonical length is zero. 117 bool isZero() const { return NumberlikeArray<Digit>::isEmpty(); } 118 119 /* Equality test. For the purposes of this test, two BigUnsignedInABase 120 * values must have the same base to be equal. */ 121 bool operator ==(const BigUnsignedInABase &x) const { 122 return base == x.base && NumberlikeArray<Digit>::operator ==(x); 123 } 124 bool operator !=(const BigUnsignedInABase &x) const { return !operator ==(x); } 125 126}; 127 128#endif 129