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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 
38 class BigUnsignedInABase : protected NumberlikeArray<unsigned short> {
39 
40 public:
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 
46 protected:
47 	// The base in which this BigUnsignedInABase is expressed
48 	Base base;
49 
50 	// Creates a BigUnsignedInABase with a capacity; for internal use.
BigUnsignedInABase(int,Index c)51 	BigUnsignedInABase(int, Index c) : NumberlikeArray<Digit>(0, c) {}
52 
53 	// Decreases len to eliminate any leading zero digits.
zapLeadingZeros()54 	void zapLeadingZeros() {
55 		while (len > 0 && blk[len - 1] == 0)
56 			len--;
57 	}
58 
59 public:
60 	// Constructs zero in base 2.
BigUnsignedInABase()61 	BigUnsignedInABase() : NumberlikeArray<Digit>(), base(2) {}
62 
63 	// Copy constructor
BigUnsignedInABase(const BigUnsignedInABase & x)64 	BigUnsignedInABase(const BigUnsignedInABase &x) : NumberlikeArray<Digit>(x), base(x.base) {}
65 
66 	// Assignment operator
operator =(const BigUnsignedInABase & x)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.
~BigUnsignedInABase()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 
103 public:
104 
105 	// ACCESSORS
getBase() const106 	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). */
getDigit(Index i) const114 	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.
isZero() const117 	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. */
operator ==(const BigUnsignedInABase & x) const121 	bool operator ==(const BigUnsignedInABase &x) const {
122 		return base == x.base && NumberlikeArray<Digit>::operator ==(x);
123 	}
operator !=(const BigUnsignedInABase & x) const124 	bool operator !=(const BigUnsignedInABase &x) const { return !operator ==(x); }
125 
126 };
127 
128 #endif
129