/* * Matt McCutchen's Big Integer Library */ /* * This mechanism prevents files from being included twice. * Each file gets its own `id' (here `NUMBERLIKEARRAY'). * When `#include'd, this file checks whether its `id' has * already been flagged. If not, it flags the `id' and * loads the declarations. */ #ifndef NUMBERLIKEARRAY #define NUMBERLIKEARRAY // An essential memory-management constant. // I wish this were built into C++ just as it is in Java. #ifndef NULL #define NULL 0 #endif /* * A NumberlikeArray object holds a dynamically * allocated array of Blk. It provides certain basic * memory management features needed by both BigUnsigned * and BigUnsignedInABase, which are both derived from it. * * NumberlikeArray provides no information hiding, so make * sure you know what you are doing if you use it directly. * Classes derived from it will probably wish to pass on * some members of NumberlikeArray to their clients while * keeping some safe for themselves. These classes should * use protected inheritance and manually make some members * public with declarations like this: * * public: * NumberlikeArray< whatever >::getLength; */ template class NumberlikeArray { public: typedef unsigned int Index; // Type for the index of a block in the array static const unsigned int N; // The number of bits in a block, defined below. // FIELDS Index cap; // The current allocated capacity of this NumberlikeArray (in blocks) Index len; // The actual length of the value stored in this NumberlikeArray (in blocks) Blk *blk; // Dynamically allocated array of the blocks /* * Change made on 2005.01.06: * * If a zero-length NumberlikeArray is desired, no array is actually allocated. * Instead, `blk' is set to `NULL', and `cap' and `len' are zero as usual. * * `blk' is never dereferenced if the array has zero length. Furthermore, * `delete NULL;' does nothing and causes no error. Therefore, we can use * `NULL' as if it were a zero-length array from `new'. * * This is a great convenience because the only code that need be changed * is the array allocation code. All other code will still work fine. */ // MANAGEMENT NumberlikeArray(Index c) : cap(c), len(0) { // Creates a NumberlikeArray with a capacity blk = (cap > 0) ? (new Blk[cap]) : NULL; } void allocate(Index c); // Ensures the array has at least the indicated capacity, maybe discarding contents void allocateAndCopy(Index c); // Ensures the array has at least the indicated capacity, preserving its contents /* * Default constructor. * * If a class derived from NumberlikeArray knows at initializer time what size array * it wants, it can call the first constructor listed above in an initializer. * * Otherwise, this default constructor will be implicitly invoked, pointing `blk' to * `NULL', a fake zero-length block array. The derived class can allocate the desired * array itself and overwrite `blk'; it need not `delete [] blk' first. * * This change fixes a memory leak reported by Milan Tomic on 2005.01.06. * Integer-type-to-BigUnsigned (and BigInteger) conversion constructors have always * allocated their own array of length 0 or 1 after seeing whether the input is zero. * But when the NumberlikeArray transition occurred, these constructors contained an * implicit initializer call to the old NumberlikeArray default constructor, which * created a real `new'-allocated zero-length array. This array would then be lost, * causing a small but annoying memory leak. */ NumberlikeArray() : cap(0), len(0) { blk = NULL; } NumberlikeArray(const NumberlikeArray &x); // Copy constructor void operator=(const NumberlikeArray &x); // Assignment operator NumberlikeArray(const Blk *b, Index l); // Constructor from an array of blocks ~NumberlikeArray() { // Destructor delete [] blk; // Does nothing and causes no error if `blk' is null. } // PICKING APART // These accessors can be used to get the pieces of the value Index getCapacity() const { return cap; } Index getLength() const { return len; } Blk getBlock(Index i) const { return blk[i]; }; bool isEmpty() const { return len == 0; } // Equality comparison: checks if arrays have same length and matching values // Derived classes may wish to override these if differing arrays can // sometimes be considered equivalent. bool operator ==(const NumberlikeArray &x) const; bool operator !=(const NumberlikeArray &x) const { return !operator ==(x); } }; /* * ================================= * BELOW THIS POINT are template definitions; above are declarations. * * Definitions would ordinarily belong in a file NumberlikeArray.cc so that they would * be compiled once into NumberlikeArray.o and then linked. * * However, because of the way templates are usually implemented, * template ``definitions'' are treated as declarations by the compiler. * When someone uses an instance of the template, definitions are generated, * and the linker is smart enough to toss duplicate definitions for the same * instance generated by different files. * * Thus, the template ``definitions'' for NumberlikeArray must appear in this header file * so other files including NumberlikeArray will be able to generate real definitions. */ template const unsigned int NumberlikeArray::N = 8 * sizeof(Blk); // MANAGEMENT // This routine is called to ensure the array is at least a // certain size before another value is written into it. template void NumberlikeArray::allocate(Index c) { // If the requested capacity is more than the current capacity... if (c > cap) { // Delete the old number array delete [] blk; // Allocate the new array cap = c; blk = new Blk[cap]; } } // This routine is called to ensure the array is at least a // certain size without losing its contents. template void NumberlikeArray::allocateAndCopy(Index c) { // If the requested capacity is more than the current capacity... if (c > cap) { Blk *oldBlk = blk; // Allocate the new number array cap = c; blk = new Blk[cap]; // Copy number blocks Index i; for (i = 0; i < len; i++) blk[i] = oldBlk[i]; // Delete the old array delete [] oldBlk; } } // Copy constructor template NumberlikeArray::NumberlikeArray(const NumberlikeArray &x) : len(x.len) { // Create array cap = len; blk = new Blk[cap]; // Copy blocks Index i; for (i = 0; i < len; i++) blk[i] = x.blk[i]; } // Assignment operator template void NumberlikeArray::operator=(const NumberlikeArray &x) { // Calls like a = a have no effect if (this == &x) return; // Copy length len = x.len; // Expand array if necessary allocate(len); // Copy number blocks Index i; for (i = 0; i < len; i++) blk[i] = x.blk[i]; } // Constructor from an array of blocks template NumberlikeArray::NumberlikeArray(const Blk *b, Index l) : cap(l), len(l) { // Create array blk = new Blk[cap]; // Copy blocks Index i; for (i = 0; i < len; i++) blk[i] = b[i]; } // EQUALITY TEST // This uses == to compare Blks for equality. // Therefore, Blks must have an == operator with the desired semantics. template bool NumberlikeArray::operator ==(const NumberlikeArray &x) const { // Different lengths imply different objects. if (len != x.len) return false; else { // Compare matching blocks one by one. Index i; for (i = 0; i < len; i++) if (blk[i] != x.blk[i]) return false; // If no blocks differed, the objects are equal. return true; } } #endif