X-Git-Url: https://git.ucc.asn.au/?p=ipdf%2Fcode.git;a=blobdiff_plain;f=src%2Frational.h;h=0fa5d9910f3b7fa8136717bc971c5a7b6f23487a;hp=9dde43a4dad9006713ccd819c265adb200d886b3;hb=888817a67a9d840be66b52811b01eb77f10ff3e6;hpb=39599aa6423d3e0181fbfe2aac8f78f388a3f372 diff --git a/src/rational.h b/src/rational.h index 9dde43a..0fa5d99 100644 --- a/src/rational.h +++ b/src/rational.h @@ -8,9 +8,21 @@ #include "common.h" #include #include +#include "arbint.h" +#include "gmpint.h" +#include +#include namespace IPDF { + +template T Tabs(const T & a) +{ + return abs(a); +} +template <> Arbint Tabs(const Arbint & a); +template <> Gmpint Tabs(const Gmpint & a); + /* Recursive version of GCD template @@ -65,11 +77,9 @@ struct Rational Rational(double d=0) : P(d*1e6), Q(1e6) // Possibly the worst thing ever... { Simplify(); - if (!CheckAccuracy(d, "Construct from double")) - { - //Fatal("Bwah bwah :("); - } } + + Rational(const T & _P, const T & _Q) : P(_P), Q(_Q) { @@ -93,7 +103,12 @@ struct Rational Q = T(1); return; } - T g = gcd(T(llabs(P)),T(llabs(Q))); + if (P == Q) + { + P = Q = T(1); + return; + } + T g = gcd(Tabs(P), Tabs(Q)); //Debug("Got gcd!"); P /= g; Q /= g; @@ -115,34 +130,34 @@ struct Rational Rational operator+(const Rational & r) const { 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()); - } + //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 == T(0)) ? Rational(P,Q) : Rational(P*r.Q - r.P*Q, Q*r.Q); - result.CheckAccuracy(ToDouble() - r.ToDouble(),"-"); + //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; } @@ -152,13 +167,32 @@ 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(*this); r.P = -r.P; return r;} + 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;} Rational & operator/=(const Rational & r) {this->operator=(*this/r); return *this;} + Rational Sqrt() const + { + return Rational(sqrt(ToDouble())); + } + + int64_t ToInt64() const + { + return (int64_t)ToDouble(); + } - double ToDouble() const {return (double)(P) / (double)(Q);} + double ToDouble() const + { + T num = P, denom = Q; + while (Tabs(num) > T(1e10)) + { + num /= T(16); + denom /= T(16); + } + return ((double)(num))/((double)(denom)); + } bool CheckAccuracy(double d, const char * msg, double threshold = 1e-3) const { double result = fabs(ToDouble() - d); @@ -182,16 +216,13 @@ struct Rational T Q; }; -inline Rational pow(const Rational & a, const Rational & b) + +template +Rational

Abs(const Rational

& a) { - //TODO:Implement properly - int64_t P = std::pow((double)a.P, b.ToDouble()); - int64_t Q = std::pow((double)a.Q, b.ToDouble()); - return Rational(P, Q); + return Rational

(Tabs(a.P), a.Q); } - - } #endif //_RATIONAL_H