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authorClifford Wolf <clifford@clifford.at>2013-02-27 09:32:19 +0100
committerClifford Wolf <clifford@clifford.at>2013-02-27 09:32:19 +0100
commita321a5c412090d04dfaea4b4876c4901c42cfe44 (patch)
treeb08d286e0aea76be9aab7a543df0b51e76b6ede4 /bigint/BigInteger.cc
parent4f0c2862a0d7e1ca247e0a4d54301c7f8cc92fd8 (diff)
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Moved stand-alone libs to libs/ directory and added libs/subcircuit
Diffstat (limited to 'bigint/BigInteger.cc')
-rw-r--r--bigint/BigInteger.cc405
1 files changed, 0 insertions, 405 deletions
diff --git a/bigint/BigInteger.cc b/bigint/BigInteger.cc
deleted file mode 100644
index 3b23aa1e7..000000000
--- a/bigint/BigInteger.cc
+++ /dev/null
@@ -1,405 +0,0 @@
-#include "BigInteger.hh"
-
-void BigInteger::operator =(const BigInteger &x) {
- // Calls like a = a have no effect
- if (this == &x)
- return;
- // Copy sign
- sign = x.sign;
- // Copy the rest
- mag = x.mag;
-}
-
-BigInteger::BigInteger(const Blk *b, Index blen, Sign s) : mag(b, blen) {
- switch (s) {
- case zero:
- if (!mag.isZero())
- throw "BigInteger::BigInteger(const Blk *, Index, Sign): Cannot use a sign of zero with a nonzero magnitude";
- sign = zero;
- break;
- case positive:
- case negative:
- // If the magnitude is zero, force the sign to zero.
- sign = mag.isZero() ? zero : s;
- break;
- default:
- /* g++ seems to be optimizing out this case on the assumption
- * that the sign is a valid member of the enumeration. Oh well. */
- throw "BigInteger::BigInteger(const Blk *, Index, Sign): Invalid sign";
- }
-}
-
-BigInteger::BigInteger(const BigUnsigned &x, Sign s) : mag(x) {
- switch (s) {
- case zero:
- if (!mag.isZero())
- throw "BigInteger::BigInteger(const BigUnsigned &, Sign): Cannot use a sign of zero with a nonzero magnitude";
- sign = zero;
- break;
- case positive:
- case negative:
- // If the magnitude is zero, force the sign to zero.
- sign = mag.isZero() ? zero : s;
- break;
- default:
- /* g++ seems to be optimizing out this case on the assumption
- * that the sign is a valid member of the enumeration. Oh well. */
- throw "BigInteger::BigInteger(const BigUnsigned &, Sign): Invalid sign";
- }
-}
-
-/* CONSTRUCTION FROM PRIMITIVE INTEGERS
- * Same idea as in BigUnsigned.cc, except that negative input results in a
- * negative BigInteger instead of an exception. */
-
-// Done longhand to let us use initialization.
-BigInteger::BigInteger(unsigned long x) : mag(x) { sign = mag.isZero() ? zero : positive; }
-BigInteger::BigInteger(unsigned int x) : mag(x) { sign = mag.isZero() ? zero : positive; }
-BigInteger::BigInteger(unsigned short x) : mag(x) { sign = mag.isZero() ? zero : positive; }
-
-// For signed input, determine the desired magnitude and sign separately.
-
-namespace {
- template <class X, class UX>
- BigInteger::Blk magOf(X x) {
- /* UX(...) cast needed to stop short(-2^15), which negates to
- * itself, from sign-extending in the conversion to Blk. */
- return BigInteger::Blk(x < 0 ? UX(-x) : x);
- }
- template <class X>
- BigInteger::Sign signOf(X x) {
- return (x == 0) ? BigInteger::zero
- : (x > 0) ? BigInteger::positive
- : BigInteger::negative;
- }
-}
-
-BigInteger::BigInteger(long x) : sign(signOf(x)), mag(magOf<long , unsigned long >(x)) {}
-BigInteger::BigInteger(int x) : sign(signOf(x)), mag(magOf<int , unsigned int >(x)) {}
-BigInteger::BigInteger(short x) : sign(signOf(x)), mag(magOf<short, unsigned short>(x)) {}
-
-// CONVERSION TO PRIMITIVE INTEGERS
-
-/* Reuse BigUnsigned's conversion to an unsigned primitive integer.
- * The friend is a separate function rather than
- * BigInteger::convertToUnsignedPrimitive to avoid requiring BigUnsigned to
- * declare BigInteger. */
-template <class X>
-inline X convertBigUnsignedToPrimitiveAccess(const BigUnsigned &a) {
- return a.convertToPrimitive<X>();
-}
-
-template <class X>
-X BigInteger::convertToUnsignedPrimitive() const {
- if (sign == negative)
- throw "BigInteger::to<Primitive>: "
- "Cannot convert a negative integer to an unsigned type";
- else
- return convertBigUnsignedToPrimitiveAccess<X>(mag);
-}
-
-/* Similar to BigUnsigned::convertToPrimitive, but split into two cases for
- * nonnegative and negative numbers. */
-template <class X, class UX>
-X BigInteger::convertToSignedPrimitive() const {
- if (sign == zero)
- return 0;
- else if (mag.getLength() == 1) {
- // The single block might fit in an X. Try the conversion.
- Blk b = mag.getBlock(0);
- if (sign == positive) {
- X x = X(b);
- if (x >= 0 && Blk(x) == b)
- return x;
- } else {
- X x = -X(b);
- /* UX(...) needed to avoid rejecting conversion of
- * -2^15 to a short. */
- if (x < 0 && Blk(UX(-x)) == b)
- return x;
- }
- // Otherwise fall through.
- }
- throw "BigInteger::to<Primitive>: "
- "Value is too big to fit in the requested type";
-}
-
-unsigned long BigInteger::toUnsignedLong () const { return convertToUnsignedPrimitive<unsigned long > (); }
-unsigned int BigInteger::toUnsignedInt () const { return convertToUnsignedPrimitive<unsigned int > (); }
-unsigned short BigInteger::toUnsignedShort() const { return convertToUnsignedPrimitive<unsigned short> (); }
-long BigInteger::toLong () const { return convertToSignedPrimitive <long , unsigned long> (); }
-int BigInteger::toInt () const { return convertToSignedPrimitive <int , unsigned int> (); }
-short BigInteger::toShort () const { return convertToSignedPrimitive <short, unsigned short>(); }
-
-// COMPARISON
-BigInteger::CmpRes BigInteger::compareTo(const BigInteger &x) const {
- // A greater sign implies a greater number
- if (sign < x.sign)
- return less;
- else if (sign > x.sign)
- return greater;
- else switch (sign) {
- // If the signs are the same...
- case zero:
- return equal; // Two zeros are equal
- case positive:
- // Compare the magnitudes
- return mag.compareTo(x.mag);
- case negative:
- // Compare the magnitudes, but return the opposite result
- return CmpRes(-mag.compareTo(x.mag));
- default:
- throw "BigInteger internal error";
- }
-}
-
-/* COPY-LESS OPERATIONS
- * These do some messing around to determine the sign of the result,
- * then call one of BigUnsigned's copy-less operations. */
-
-// See remarks about aliased calls in BigUnsigned.cc .
-#define DTRT_ALIASED(cond, op) \
- if (cond) { \
- BigInteger tmpThis; \
- tmpThis.op; \
- *this = tmpThis; \
- return; \
- }
-
-void BigInteger::add(const BigInteger &a, const BigInteger &b) {
- DTRT_ALIASED(this == &a || this == &b, add(a, b));
- // If one argument is zero, copy the other.
- if (a.sign == zero)
- operator =(b);
- else if (b.sign == zero)
- operator =(a);
- // If the arguments have the same sign, take the
- // common sign and add their magnitudes.
- else if (a.sign == b.sign) {
- sign = a.sign;
- mag.add(a.mag, b.mag);
- } else {
- // Otherwise, their magnitudes must be compared.
- switch (a.mag.compareTo(b.mag)) {
- case equal:
- // If their magnitudes are the same, copy zero.
- mag = 0;
- sign = zero;
- break;
- // Otherwise, take the sign of the greater, and subtract
- // the lesser magnitude from the greater magnitude.
- case greater:
- sign = a.sign;
- mag.subtract(a.mag, b.mag);
- break;
- case less:
- sign = b.sign;
- mag.subtract(b.mag, a.mag);
- break;
- }
- }
-}
-
-void BigInteger::subtract(const BigInteger &a, const BigInteger &b) {
- // Notice that this routine is identical to BigInteger::add,
- // if one replaces b.sign by its opposite.
- DTRT_ALIASED(this == &a || this == &b, subtract(a, b));
- // If a is zero, copy b and flip its sign. If b is zero, copy a.
- if (a.sign == zero) {
- mag = b.mag;
- // Take the negative of _b_'s, sign, not ours.
- // Bug pointed out by Sam Larkin on 2005.03.30.
- sign = Sign(-b.sign);
- } else if (b.sign == zero)
- operator =(a);
- // If their signs differ, take a.sign and add the magnitudes.
- else if (a.sign != b.sign) {
- sign = a.sign;
- mag.add(a.mag, b.mag);
- } else {
- // Otherwise, their magnitudes must be compared.
- switch (a.mag.compareTo(b.mag)) {
- // If their magnitudes are the same, copy zero.
- case equal:
- mag = 0;
- sign = zero;
- break;
- // If a's magnitude is greater, take a.sign and
- // subtract a from b.
- case greater:
- sign = a.sign;
- mag.subtract(a.mag, b.mag);
- break;
- // If b's magnitude is greater, take the opposite
- // of b.sign and subtract b from a.
- case less:
- sign = Sign(-b.sign);
- mag.subtract(b.mag, a.mag);
- break;
- }
- }
-}
-
-void BigInteger::multiply(const BigInteger &a, const BigInteger &b) {
- DTRT_ALIASED(this == &a || this == &b, multiply(a, b));
- // If one object is zero, copy zero and return.
- if (a.sign == zero || b.sign == zero) {
- sign = zero;
- mag = 0;
- return;
- }
- // If the signs of the arguments are the same, the result
- // is positive, otherwise it is negative.
- sign = (a.sign == b.sign) ? positive : negative;
- // Multiply the magnitudes.
- mag.multiply(a.mag, b.mag);
-}
-
-/*
- * DIVISION WITH REMAINDER
- * Please read the comments before the definition of
- * `BigUnsigned::divideWithRemainder' in `BigUnsigned.cc' for lots of
- * information you should know before reading this function.
- *
- * Following Knuth, I decree that x / y is to be
- * 0 if y==0 and floor(real-number x / y) if y!=0.
- * Then x % y shall be x - y*(integer x / y).
- *
- * Note that x = y * (x / y) + (x % y) always holds.
- * In addition, (x % y) is from 0 to y - 1 if y > 0,
- * and from -(|y| - 1) to 0 if y < 0. (x % y) = x if y = 0.
- *
- * Examples: (q = a / b, r = a % b)
- * a b q r
- * === === === ===
- * 4 3 1 1
- * -4 3 -2 2
- * 4 -3 -2 -2
- * -4 -3 1 -1
- */
-void BigInteger::divideWithRemainder(const BigInteger &b, BigInteger &q) {
- // Defend against aliased calls;
- // same idea as in BigUnsigned::divideWithRemainder .
- if (this == &q)
- throw "BigInteger::divideWithRemainder: Cannot write quotient and remainder into the same variable";
- if (this == &b || &q == &b) {
- BigInteger tmpB(b);
- divideWithRemainder(tmpB, q);
- return;
- }
-
- // Division by zero gives quotient 0 and remainder *this
- if (b.sign == zero) {
- q.mag = 0;
- q.sign = zero;
- return;
- }
- // 0 / b gives quotient 0 and remainder 0
- if (sign == zero) {
- q.mag = 0;
- q.sign = zero;
- return;
- }
-
- // Here *this != 0, b != 0.
-
- // Do the operands have the same sign?
- if (sign == b.sign) {
- // Yes: easy case. Quotient is zero or positive.
- q.sign = positive;
- } else {
- // No: harder case. Quotient is negative.
- q.sign = negative;
- // Decrease the magnitude of the dividend by one.
- mag--;
- /*
- * We tinker with the dividend before and with the
- * quotient and remainder after so that the result
- * comes out right. To see why it works, consider the following
- * list of examples, where A is the magnitude-decreased
- * a, Q and R are the results of BigUnsigned division
- * with remainder on A and |b|, and q and r are the
- * final results we want:
- *
- * a A b Q R q r
- * -3 -2 3 0 2 -1 0
- * -4 -3 3 1 0 -2 2
- * -5 -4 3 1 1 -2 1
- * -6 -5 3 1 2 -2 0
- *
- * It appears that we need a total of 3 corrections:
- * Decrease the magnitude of a to get A. Increase the
- * magnitude of Q to get q (and make it negative).
- * Find r = (b - 1) - R and give it the desired sign.
- */
- }
-
- // Divide the magnitudes.
- mag.divideWithRemainder(b.mag, q.mag);
-
- if (sign != b.sign) {
- // More for the harder case (as described):
- // Increase the magnitude of the quotient by one.
- q.mag++;
- // Modify the remainder.
- mag.subtract(b.mag, mag);
- mag--;
- }
-
- // Sign of the remainder is always the sign of the divisor b.
- sign = b.sign;
-
- // Set signs to zero as necessary. (Thanks David Allen!)
- if (mag.isZero())
- sign = zero;
- if (q.mag.isZero())
- q.sign = zero;
-
- // WHEW!!!
-}
-
-// Negation
-void BigInteger::negate(const BigInteger &a) {
- DTRT_ALIASED(this == &a, negate(a));
- // Copy a's magnitude
- mag = a.mag;
- // Copy the opposite of a.sign
- sign = Sign(-a.sign);
-}
-
-// INCREMENT/DECREMENT OPERATORS
-
-// Prefix increment
-void BigInteger::operator ++() {
- if (sign == negative) {
- mag--;
- if (mag == 0)
- sign = zero;
- } else {
- mag++;
- sign = positive; // if not already
- }
-}
-
-// Postfix increment: same as prefix
-void BigInteger::operator ++(int) {
- operator ++();
-}
-
-// Prefix decrement
-void BigInteger::operator --() {
- if (sign == positive) {
- mag--;
- if (mag == 0)
- sign = zero;
- } else {
- mag++;
- sign = negative;
- }
-}
-
-// Postfix decrement: same as prefix
-void BigInteger::operator --(int) {
- operator --();
-}
-