X-Git-Url: https://git.donarmstrong.com/?a=blobdiff_plain;f=flower%2Frational.cc;h=a1a87fb29e808b12dea0627cb23e9abb1287e524;hb=5b4b0d6e9a197e8f9eb085b7c2ad78b8be3e5cfc;hp=150ace0359b6eedc234a9e41c8af7f6bed71a03b;hpb=03ce3667568361ee7433032988a4089c64de2ec7;p=lilypond.git diff --git a/flower/rational.cc b/flower/rational.cc index 150ace0359..a1a87fb29e 100644 --- a/flower/rational.cc +++ b/flower/rational.cc @@ -3,7 +3,7 @@ source file of the Flower Library - (c) 1997--2006 Han-Wen Nienhuys + (c) 1997--2008 Han-Wen Nienhuys */ #include "rational.hh" @@ -16,7 +16,8 @@ using namespace std; #include "string-convert.hh" #include "libc-extension.hh" -Rational::operator double () const +double +Rational::to_double () const { if (sign_ == -1 || sign_ == 1 || sign_ == 0) return ((double)sign_) * num_ / den_; @@ -49,7 +50,9 @@ Rational::abs () const Rational Rational::trunc_rat () const { - return Rational (num_ - (num_ % den_), den_); + if (is_infinity()) + return *this; + return Rational ((num_ - (num_ % den_)) * sign_, den_); } Rational::Rational () @@ -58,7 +61,7 @@ Rational::Rational () num_ = den_ = 1; } -Rational::Rational (int n, int d) +Rational::Rational (I64 n, I64 d) { sign_ = ::sign (n) * ::sign (d); num_ = ::abs (n); @@ -66,22 +69,33 @@ Rational::Rational (int n, int d) normalize (); } -static inline -int gcd (int a, int b) +Rational::Rational (I64 n) { - int t; - while ((t = a % b)) - { - a = b; - b = t; - } - return b; + sign_ = ::sign (n); + num_ = ::abs (n); + den_ = 1; +} + +Rational::Rational (U64 n) +{ + sign_ = 1; + num_ = n; + den_ = 1; } +Rational::Rational (int n) +{ + sign_ = ::sign (n); + num_ = ::abs (n); + den_ = 1; +} + + void Rational::set_infinite (int s) { sign_ = ::sign (s) * 2; + num_ = 1; } Rational @@ -108,6 +122,54 @@ Rational::mod_rat (Rational div) const return r; } + +/* + copy & paste from scm_gcd (GUILE). + */ +static I64 +gcd (I64 u, I64 v) +{ + I64 result = 0; + if (u == 0) + result = v; + else if (v == 0) + result = u; + else + { + I64 k = 1; + I64 t; + /* Determine a common factor 2^k */ + while (!(1 & (u | v))) + { + k <<= 1; + u >>= 1; + v >>= 1; + } + /* Now, any factor 2^n can be eliminated */ + if (u & 1) + t = -v; + else + { + t = u; + b3: + t = t >> 1; + } + if (!(1 & t)) + goto b3; + if (t > 0) + u = t; + else + v = -t; + t = u - v; + if (t != 0) + goto b3; + result = u * k; + } + + return result; +} + + void Rational::normalize () { @@ -128,7 +190,7 @@ Rational::normalize () } else { - int g = gcd (num_, den_); + I64 g = gcd (num_, den_); num_ /= g; den_ /= g; @@ -151,7 +213,7 @@ Rational::compare (Rational const &r, Rational const &s) return 0; else if (r.sign_ == 0) return 0; - return r.sign_ * ::sign (int (r.num_ * s.den_) - int (s.num_ * r.den_)); + return r.sign_ * ::sign ((I64) (r.num_ * s.den_) - (I64) (s.num_ * r.den_)); } int @@ -176,9 +238,9 @@ Rational::operator += (Rational r) *this = r; else { - int lcm = (den_ / gcd (r.den_, den_)) * r.den_; - int n = sign_ * num_ * (lcm / den_) + r.sign_ * r.num_ * (lcm / r.den_); - int d = lcm; + I64 lcm = (den_ / gcd (r.den_, den_)) * r.den_; + I64 n = sign_ * num_ * (lcm / den_) + r.sign_ * r.num_ * (lcm / r.den_); + I64 d = lcm; sign_ = ::sign (n) * ::sign (d); num_ = ::abs (n); den_ = ::abs (d); @@ -210,8 +272,8 @@ Rational::Rational (double x) easily. */ - num_ = (unsigned int) (mantissa * FACT); - den_ = (unsigned int) FACT; + num_ = (U64) (mantissa * FACT); + den_ = (U64) FACT; normalize (); if (expt < 0) den_ <<= -expt; @@ -231,7 +293,7 @@ Rational::Rational (double x) void Rational::invert () { - int r (num_); + I64 r (num_); num_ = den_; den_ = r; }