mirror of https://github.com/status-im/qzxing.git
123 lines
4.0 KiB
C++
123 lines
4.0 KiB
C++
#ifndef BIGUNSIGNEDINABASE_H
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#define BIGUNSIGNEDINABASE_H
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#include "NumberlikeArray.hh"
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#include "BigUnsigned.hh"
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#include <string>
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/*
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* A BigUnsignedInABase object represents a nonnegative integer of size limited
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* only by available memory, represented in a user-specified base that can fit
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* in an `unsigned short' (most can, and this saves memory).
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*
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* BigUnsignedInABase is intended as an intermediary class with little
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* functionality of its own. BigUnsignedInABase objects can be constructed
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* from, and converted to, BigUnsigneds (requiring multiplication, mods, etc.)
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* and `std::string's (by switching digit values for appropriate characters).
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*
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* BigUnsignedInABase is similar to BigUnsigned. Note the following:
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*
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* (1) They represent the number in exactly the same way, except that
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* BigUnsignedInABase uses ``digits'' (or Digit) where BigUnsigned uses
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* ``blocks'' (or Blk).
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*
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* (2) Both use the management features of NumberlikeArray. (In fact, my desire
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* to add a BigUnsignedInABase class without duplicating a lot of code led me to
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* introduce NumberlikeArray.)
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*
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* (3) The only arithmetic operation supported by BigUnsignedInABase is an
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* equality test. Use BigUnsigned for arithmetic.
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*/
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class BigUnsignedInABase : protected NumberlikeArray<unsigned short> {
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public:
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// The digits of a BigUnsignedInABase are unsigned shorts.
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typedef unsigned short Digit;
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// That's also the type of a base.
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typedef Digit Base;
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protected:
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// The base in which this BigUnsignedInABase is expressed
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Base base;
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// Creates a BigUnsignedInABase with a capacity; for internal use.
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BigUnsignedInABase(int, Index c) : NumberlikeArray<Digit>(0, c) {}
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// Decreases len to eliminate any leading zero digits.
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void zapLeadingZeros() {
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while (len > 0 && blk[len - 1] == 0)
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len--;
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}
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public:
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// Constructs zero in base 2.
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BigUnsignedInABase() : NumberlikeArray<Digit>(), base(2) {}
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// Copy constructor
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BigUnsignedInABase(const BigUnsignedInABase &x) : NumberlikeArray<Digit>(x), base(x.base) {}
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// Assignment operator
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void operator =(const BigUnsignedInABase &x) {
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NumberlikeArray<Digit>::operator =(x);
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base = x.base;
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}
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// Constructor that copies from a given array of digits.
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BigUnsignedInABase(const Digit *d, Index l, Base base);
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// Destructor. NumberlikeArray does the delete for us.
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~BigUnsignedInABase() {}
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// LINKS TO BIGUNSIGNED
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BigUnsignedInABase(const BigUnsigned &x, Base base);
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operator BigUnsigned() const;
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/* LINKS TO STRINGS
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*
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* These use the symbols ``0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'' to
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* represent digits of 0 through 35. When parsing strings, lowercase is
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* also accepted.
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*
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* All string representations are big-endian (big-place-value digits
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* first). (Computer scientists have adopted zero-based counting; why
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* can't they tolerate little-endian numbers?)
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*
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* No string representation has a ``base indicator'' like ``0x''.
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*
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* An exception is made for zero: it is converted to ``0'' and not the
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* empty string.
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*
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* If you want different conventions, write your own routines to go
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* between BigUnsignedInABase and strings. It's not hard.
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*/
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operator std::string() const;
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BigUnsignedInABase(const std::string &s, Base base);
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public:
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// ACCESSORS
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Base getBase() const { return base; }
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// Expose these from NumberlikeArray directly.
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using NumberlikeArray<Digit>::getCapacity;
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using NumberlikeArray<Digit>::getLength;
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/* Returns the requested digit, or 0 if it is beyond the length (as if
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* the number had 0s infinitely to the left). */
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Digit getDigit(Index i) const { return i >= len ? 0 : blk[i]; }
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// The number is zero if and only if the canonical length is zero.
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bool isZero() const { return NumberlikeArray<Digit>::isEmpty(); }
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/* Equality test. For the purposes of this test, two BigUnsignedInABase
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* values must have the same base to be equal. */
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bool operator ==(const BigUnsignedInABase &x) const {
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return base == x.base && NumberlikeArray<Digit>::operator ==(x);
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}
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bool operator !=(const BigUnsignedInABase &x) const { return !operator ==(x); }
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};
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#endif
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