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author | Clifford Wolf <clifford@clifford.at> | 2013-02-27 09:32:19 +0100 |
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committer | Clifford Wolf <clifford@clifford.at> | 2013-02-27 09:32:19 +0100 |
commit | a321a5c412090d04dfaea4b4876c4901c42cfe44 (patch) | |
tree | b08d286e0aea76be9aab7a543df0b51e76b6ede4 /bigint/BigInteger.cc | |
parent | 4f0c2862a0d7e1ca247e0a4d54301c7f8cc92fd8 (diff) | |
download | yosys-a321a5c412090d04dfaea4b4876c4901c42cfe44.tar.gz yosys-a321a5c412090d04dfaea4b4876c4901c42cfe44.tar.bz2 yosys-a321a5c412090d04dfaea4b4876c4901c42cfe44.zip |
Moved stand-alone libs to libs/ directory and added libs/subcircuit
Diffstat (limited to 'bigint/BigInteger.cc')
-rw-r--r-- | bigint/BigInteger.cc | 405 |
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 --(); -} - |