X-Git-Url: https://git.ucc.asn.au/?p=ipdf%2Fcode.git;a=blobdiff_plain;f=src%2Frational.h;h=2c98e1ad1672d7e656c64c0659f4af7e5ce7e5bd;hp=41cce09078b4e96eb17a6bb6e28478ea64637b57;hb=f1fab7ee4ee08ca10019450beda303ab71a12ee8;hpb=00ef152dc3a065e37fe45c1cd8023d739f518b8e diff --git a/src/rational.h b/src/rational.h index 41cce09..2c98e1a 100644 --- a/src/rational.h +++ b/src/rational.h @@ -8,17 +8,32 @@ #include "common.h" #include #include +#include "arbint.h" namespace IPDF { + +template T Tabs(const T & a) +{ + return abs(a); +} + +template <> Arbint Tabs(const Arbint & a); + /* Recursive version of GCD template T gcd(const T & a, const T & b) { - if (a == 1 || a == 0) return 1; - if (b == 0) return a; - if (b == a) return a; + Debug("Called on %li/%li", int64_t(a), int64_t(b)); + if (a == T(1) || a == T(0)) return T(1); + if (b == T(0)) return a; + if (b == a) + { + Debug("Equal!"); + return a; + } + Debug("Not equal!"); if (a > b) return gcd(a-b,b); return gcd(a, b-a); @@ -29,6 +44,8 @@ T gcd(const T & a, const T & b) template T gcd(const T & p, const T & q) { + + T g(1); T big(p); T small(q); @@ -37,15 +54,18 @@ T gcd(const T & p, const T & q) big = q; small = p; } - if (small == 0) + if (small == T(0)) return g; - while ((g = big % small) > 0) + while ((g = big % small) > T(0)) { + //Debug("big = %li, small = %li", int64_t(big), int64_t(small)); big = small; small = g; + //Debug("Loop %u", ++count); } return small; -} +} + template struct Rational @@ -54,7 +74,6 @@ struct Rational Rational(double d=0) : P(d*1e6), Q(1e6) // Possibly the worst thing ever... { Simplify(); - CheckAccuracy(d, "Construct from double"); } Rational(const T & _P, const T & _Q) : P(_P), Q(_Q) @@ -69,17 +88,24 @@ struct Rational void Simplify() { - if (Q < 0) + if (Q < T(0)) { - P = (P < 0) ? -P : P; + P = -P; Q = -Q; } - if (P == 0) + if (P == T(0)) { - Q = 1; + Q = T(1); return; } - T g = gcd(llabs(P),llabs(Q)); + if (P == Q) + { + P = Q = T(1); + return; + } + + T g = gcd(Tabs(P), Tabs(Q)); + //Debug("Got gcd!"); P /= g; Q /= g; } @@ -99,32 +125,35 @@ struct Rational Rational operator+(const Rational & r) const { - Rational result = (r.P == 0) ? Rational(P,Q) : Rational(P*r.Q + r.P*Q, Q*r.Q); - result.CheckAccuracy(ToDouble() + r.ToDouble(),"+"); + Rational result = (r.P == T(0)) ? Rational(P,Q) : Rational(P*r.Q + r.P*Q, Q*r.Q); + //if (!result.CheckAccuracy(ToDouble() * r.ToDouble(),"+")) + //{ + // Debug("This is %s (%f) and r is %s (%f)", Str().c_str(), ToDouble(), r.Str().c_str(), r.ToDouble()); + //} return result; } Rational operator-(const Rational & r) const { - Rational result = (r.P == 0) ? Rational(P,Q) : Rational(P*r.Q - r.P*Q, Q*r.Q); + Rational result = (r.P == T(0)) ? Rational(P,Q) : Rational(P*r.Q - r.P*Q, Q*r.Q); result.CheckAccuracy(ToDouble() - r.ToDouble(),"-"); return result; } Rational operator*(const Rational & r) const { Rational result(P * r.P, Q * r.Q); - if (!result.CheckAccuracy(ToDouble() * r.ToDouble(),"*")) - { - Debug("This is %s (%f) and r is %s (%f)", Str().c_str(), ToDouble(), r.Str().c_str(), r.ToDouble()); - } + //if (!result.CheckAccuracy(ToDouble() * r.ToDouble(),"*")) + //{ + // Debug("This is %s (%f) and r is %s (%f)", Str().c_str(), ToDouble(), r.Str().c_str(), r.ToDouble()); + //} return result; } Rational operator/(const Rational & r) const { Rational result(P * r.Q, Q*r.P); - if (!result.CheckAccuracy(ToDouble() / r.ToDouble(),"/")) - { - Debug("This is %s (%f) and r is %s (%f)", Str().c_str(), ToDouble(), r.Str().c_str(), r.ToDouble()); - } + //if (!result.CheckAccuracy(ToDouble() / r.ToDouble(),"/")) + //{ + // Debug("This is %s (%f) and r is %s (%f)", Str().c_str(), ToDouble(), r.Str().c_str(), r.ToDouble()); + //} return result; } @@ -134,7 +163,7 @@ struct Rational //Rational operator*(const Rational & r) const {return Rational(ToDouble()*r.ToDouble());} //Rational operator/(const Rational & r) const {return Rational(ToDouble()/r.ToDouble());} - Rational & operator=(const Rational & r) {P = r.P; Q = r.Q; return *this;} + Rational & operator=(const Rational & r) {P = r.P; Q = r.Q; Simplify(); return *this;} Rational & operator+=(const Rational & r) {this->operator=(*this+r); return *this;} Rational & operator-=(const Rational & r) {this->operator=(*this-r); return *this;} Rational & operator*=(const Rational & r) {this->operator=(*this*r); return *this;} @@ -143,10 +172,12 @@ struct Rational double ToDouble() const {return (double)(P) / (double)(Q);} bool CheckAccuracy(double d, const char * msg, double threshold = 1e-3) const { - double result = fabs(ToDouble() - d) / d; + double result = fabs(ToDouble() - d); + if (d != 0e0) result /= d; if (result > threshold) { Warn("(%s) : Rational %s (%f) is not close enough at representing %f (%f vs %f)", msg, Str().c_str(), ToDouble(), d, result, threshold); + Backtrace(); return false; } return true; @@ -154,7 +185,7 @@ struct Rational std::string Str() const { std::stringstream s; - s << (int64_t)P << "/" << (int64_t)Q; + s << int64_t(P) << "/" << int64_t(Q); return s.str(); } @@ -171,6 +202,8 @@ inline Rational pow(const Rational & a, const Rational