+ inline Real RealFromStr(const char * str) {return strtod(str, NULL);}
+#elif REALTYPE == REAL_LONG_DOUBLE
+ typedef long double Real;
+ inline Real RealFromStr(const char * str) {return strtold(str, NULL);}
+#elif REALTYPE == REAL_VFPU
+ typedef VFPU::VFloat Real;
+ inline float Float(const Real & r) {return r.m_value;}
+ inline double Double(const Real & r) {return r.m_value;}
+ inline Real RealFromStr(const char * str) {return Real(strtod(str, NULL));}
+#elif REALTYPE == REAL_RATIONAL
+ typedef Rational<int64_t> Real;
+ inline float Float(const Real & r) {return (float)r.ToDouble();}
+ inline double Double(const Real & r) {return r.ToDouble();}
+ inline Real RealFromStr(const char * str) {return Real(strtod(str, NULL));}
+#elif REALTYPE == REAL_RATIONAL_ARBINT
+ #define ARBINT Arbint // Set to Gmpint or Arbint here
+
+ typedef Rational<ARBINT> Real;
+ inline float Float(const Real & r) {return (float)r.ToDouble();}
+ inline double Double(const Real & r) {return r.ToDouble();}
+ inline int64_t Int64(const Real & r) {return r.ToInt64();}
+ inline Rational<ARBINT> Sqrt(const Rational<ARBINT> & r) {return r.Sqrt();}
+ inline Real RealFromStr(const char * str) {return Real(strtod(str, NULL));}
+#elif REALTYPE == REAL_MPFRCPP
+ typedef mpfr::mpreal Real;
+ inline double Double(const Real & r) {return r.toDouble();}
+ inline float Float(const Real & r) {return r.toDouble();}
+ inline int64_t Int64(const Real & r) {return r.toLong();}
+ inline Real Sqrt(const Real & r) {return mpfr::sqrt(r, mpfr::mpreal::get_default_rnd());}
+ inline Real Abs(const Real & r) {return mpfr::abs(r, mpfr::mpreal::get_default_rnd());}
+ inline Real RealFromStr(const char * str) {return Real(strtod(str, NULL));}
+#elif REALTYPE == REAL_IRRAM
+ typedef iRRAM::REAL Real;
+ inline double Double(const Real & r) {return r.as_double(53);}
+ inline float Float(const Real & r) {return r.as_double(53);}
+ inline int64_t Int64(const Real & r) {return (int64_t)r.as_double(53);}
+ inline Real Sqrt(const Real & r) {return iRRAM::sqrt(r);}
+ inline Real RealFromStr(const char * str) {return Real(strtod(str, NULL));}
+#elif REALTYPE == REAL_PARANOIDNUMBER
+ typedef ParanoidNumber Real;
+ inline double Double(const Real & r) {return r.Digit();}
+ inline float Float(const Real & r) {return r.Digit();}
+ inline int64_t Int64(const Real & r) {return (int64_t)r.Digit();}
+ inline Real Sqrt(const Real & r) {return Real(sqrt(r.Digit()));}
+ inline Real RealFromStr(const char * str) {return Real(str);}
+ inline Real Abs(const Real & a) {return Real(fabs(a.Digit()));}
+#elif REALTYPE == REAL_GMPRAT
+ typedef Gmprat Real;
+ inline double Double(const Real & r) {return r.ToDouble();}
+ inline float Float(const Real & r) {return (float)(r.ToDouble());}
+ inline int64_t Int64(const Real & r) {return (int64_t)r.ToDouble();}
+ inline Real Sqrt(const Real & r) {return Real(sqrt(r.ToDouble()));}
+ inline Real RealFromStr(const char * str) {return Real(strtod(str, NULL));}
+ inline Real Abs(const Real & a) {return (a > Real(0)) ? a : Real(0)-a;}
+
+#else
+ #error "Type of Real unspecified."
+#endif //REALTYPE
+
+ // Allow us to call Float on the primative types
+ // Useful so I can template some things that could be either (a more complicated) Real or a primitive type
+ // Mostly in the testers.
+ inline float Float(double f) {return (float)f;}
+ inline float Float(long double f) {return (float)(f);}
+ inline double Double(float f) {return (double)f;}
+ inline double Double(double f) {return (double)f;}
+ inline double Double(long double f) {return (double)(f);}
+ inline double Sqrt(double f) {return sqrt(f);}
+ inline double Abs(double a) {return fabs(a);}
+ inline int64_t Int64(double a)
+ {
+ if (a < INT64_MIN)
+ return INT64_MIN;
+ if (a > INT64_MAX)
+ return INT64_MAX;
+ return (int64_t)(a);
+ }
+
+ inline Real Power(const Real & a, int n)
+ {
+ if (n < 0)
+ {
+ return Power(Real(1)/a, -n);
+ }
+ Real r(1);
+ for (int i = 0; i < n; ++i)
+ r *= a;
+ return r;
+ }
+ struct Vec2
+ {
+ Real x;
+ Real y;
+ Vec2() : x(0.0), y(0.0) {}
+ Vec2(Real _x, Real _y) : x(_x), y(_y) {}
+ Vec2(const std::pair<Real, Real> & p) : x(p.first), y(p.second) {}
+ #if REALTYPE != REAL_IRRAM
+ Vec2(const std::pair<int64_t, int64_t> & p) : x(p.first), y(p.second) {}
+ #else
+ Vec2(const std::pair<int64_t, int64_t> & p) : x((int)p.first), y((int)p.second) {}
+ // Apparently iRRAM didn't implement -= for a constant argument
+ #endif
+ bool operator==(const Vec2& other) const { return (x == other.x) && (y == other.y); }
+ bool operator!=(const Vec2& other) const { return !(*this == other); }
+
+ Vec2& operator=(const Vec2& other) { x = other.x; y = other.y; return *this; }
+ Vec2& operator+=(const Vec2& other) { x += other.x; y += other.y; return *this; }
+ Vec2& operator-=(const Vec2& other) { x -= other.x; y -= other.y; return *this; }
+ Vec2& operator*=(const Real& lambda) { x *= lambda; y *= lambda; return *this; }
+ Vec2& operator/=(const Real& lambda) { x /= lambda; y /= lambda; return *this; }
+
+ Vec2 operator+(const Vec2& other) const { return Vec2(x + other.x, y + other.y); }
+ Vec2 operator-(const Vec2& other) const { return Vec2(x - other.x, y - other.y); }
+ Vec2 operator*(const Real& lambda) const { return Vec2(x * lambda, y * lambda); }
+ Vec2 operator/(const Real& lambda) const { return Vec2(x / lambda, y / lambda); }
+
+ const Real SquareLength() const { return (x*x + y*y); }
+
+ };
+
+ //TODO: Make sure there is actually a RealFromStr(const char * str) function
+ // Or this will recurse infinitely
+ // (If you remove this it will also break).
+ inline Real RealFromStr(const std::string & str) {return RealFromStr(str.c_str());}
+
+
+ inline void DebugRealInfo()
+ {
+ Debug("Compiled with REAL = %d => \"%s\" sizeof(Real) == %d bytes", REALTYPE, g_real_name[REALTYPE], sizeof(Real));
+ #if REALTYPE == REAL_PARANOIDNUMBER
+ #ifdef PARANOID_SIZE_LIMIT
+ Debug("Size limit of %d is being enforced", PARANOID_SIZE_LIMIT);
+ #endif
+ #endif
+ }
+