X-Git-Url: https://git.donarmstrong.com/?a=blobdiff_plain;f=flower%2Fpolynomial.cc;h=f6f229128074b8a5f8413a24149d3dc734cf05d6;hb=e0c8bcab8dbdbc190c1360e537f33b123e648624;hp=d9b4cf16908332b7e120fc4539a0cad8bf6c93fe;hpb=75eebcb49e52d296b1da3e1074e0825d2c780db4;p=lilypond.git diff --git a/flower/polynomial.cc b/flower/polynomial.cc index d9b4cf1690..f6f2291280 100644 --- a/flower/polynomial.cc +++ b/flower/polynomial.cc @@ -22,7 +22,7 @@ Polynomial::eval (Real x) const Real p = 0.0; // horner's scheme - for (int i = coefs_.size (); i--;) + for (vsize i = coefs_.size (); i--;) p = x * p + coefs_[i]; return p; @@ -36,10 +36,10 @@ Polynomial::multiply (const Polynomial &p1, const Polynomial &p2) int deg = p1.degree () + p2.degree (); for (int i = 0; i <= deg; i++) { - dest.coefs_.push (0); + dest.coefs_.push_back (0); for (int j = 0; j <= i; j++) if (i - j <= p2.degree () && j <= p1.degree ()) - dest.coefs_.top () += p1.coefs_[j] * p2.coefs_[i - j]; + dest.coefs_.back () += p1.coefs_[j] * p2.coefs_[i - j]; } return dest; @@ -50,7 +50,7 @@ Polynomial::differentiate () { for (int i = 1; i <= degree (); i++) coefs_[i - 1] = coefs_[i] * i; - coefs_.pop (); + coefs_.pop_back (); } Polynomial @@ -88,16 +88,16 @@ Polynomial::clean () We only do relative comparisons. Absolute comparisons break down in degenerate cases. */ while (degree () > 0 - && (fabs (coefs_.top ()) < FUDGE * fabs (coefs_.top (1)) - || !coefs_.top ())) - coefs_.pop (); + && (fabs (coefs_.back ()) < FUDGE * fabs (back (coefs_, 1)) + || !coefs_.back ())) + coefs_.pop_back (); } void Polynomial::operator += (Polynomial const &p) { while (degree () < p.degree ()) - coefs_.push (0.0); + coefs_.push_back (0.0); for (int i = 0; i <= p.degree (); i++) coefs_[i] += p.coefs_[i]; @@ -107,7 +107,7 @@ void Polynomial::operator -= (Polynomial const &p) { while (degree () < p.degree ()) - coefs_.push (0.0); + coefs_.push_back (0.0); for (int i = 0; i <= p.degree (); i++) coefs_[i] -= p.coefs_[i]; @@ -154,7 +154,7 @@ Polynomial::set_mod (const Polynomial &u, const Polynomial &v) while (k >= 0 && coefs_[k] == 0.0) k--; - coefs_.set_size (1+ ((k < 0) ? 0 : k)); + coefs_.resize (1+ ((k < 0) ? 0 : k)); return degree (); } @@ -174,17 +174,17 @@ Polynomial::check_sol (Real x) const } void -Polynomial::check_sols (Array roots) const +Polynomial::check_sols (vector roots) const { - for (int i = 0; i < roots.size (); i++) + for (vsize i = 0; i < roots.size (); i++) check_sol (roots[i]); } Polynomial::Polynomial (Real a, Real b) { - coefs_.push (a); + coefs_.push_back (a); if (b) - coefs_.push (b); + coefs_.push_back (b); } /* cubic root. */ @@ -203,10 +203,10 @@ iszero (Real r) return !r; } -Array +vector Polynomial::solve_cubic ()const { - Array sol; + vector sol; /* normal form: x^3 + Ax^2 + Bx + C = 0 */ Real A = coefs_[2] / coefs_[3]; @@ -229,15 +229,15 @@ Polynomial::solve_cubic ()const if (iszero (D)) { if (iszero (q)) { /* one triple solution */ - sol.push (0); - sol.push (0); - sol.push (0); + sol.push_back (0); + sol.push_back (0); + sol.push_back (0); } else { /* one single and one double solution */ Real u = cubic_root (-q); - sol.push (2 * u); - sol.push (-u); + sol.push_back (2 * u); + sol.push_back (-u); } } else if (D < 0) @@ -246,9 +246,9 @@ Polynomial::solve_cubic ()const Real phi = 1.0 / 3 * acos (-q / sqrt (-cb)); Real t = 2 * sqrt (-p); - sol.push (t * cos (phi)); - sol.push (-t * cos (phi + M_PI / 3)); - sol.push (-t * cos (phi - M_PI / 3)); + sol.push_back (t * cos (phi)); + sol.push_back (-t * cos (phi + M_PI / 3)); + sol.push_back (-t * cos (phi - M_PI / 3)); } else { @@ -257,13 +257,13 @@ Polynomial::solve_cubic ()const Real u = cubic_root (sqrt_D - q); Real v = -cubic_root (sqrt_D + q); - sol.push (u + v); + sol.push_back (u + v); } /* resubstitute */ Real sub = 1.0 / 3 * A; - for (int i = sol.size (); i--;) + for (vsize i = sol.size (); i--;) { sol[i] -= sub; @@ -278,13 +278,13 @@ Polynomial::solve_cubic ()const Real Polynomial::lc () const { - return coefs_.top (); + return coefs_.back (); } Real & Polynomial::lc () { - return coefs_.top (); + return coefs_.back (); } int @@ -295,10 +295,10 @@ Polynomial::degree ()const /* all roots of quadratic eqn. */ -Array +vector Polynomial::solve_quadric ()const { - Array sol; + vector sol; /* normal form: x^2 + px + q = 0 */ Real p = coefs_[1] / (2 * coefs_[2]); Real q = coefs_[0] / coefs_[2]; @@ -309,23 +309,23 @@ Polynomial::solve_quadric ()const { D = sqrt (D); - sol.push (D - p); - sol.push (-D - p); + sol.push_back (D - p); + sol.push_back (-D - p); } return sol; } /* solve linear equation */ -Array +vector Polynomial::solve_linear ()const { - Array s; + vector s; if (coefs_[1]) - s.push (-coefs_[0] / coefs_[1]); + s.push_back (-coefs_[0] / coefs_[1]); return s; } -Array +vector Polynomial::solve () const { Polynomial *me = (Polynomial *) this; @@ -340,7 +340,7 @@ Polynomial::solve () const case 3: return solve_cubic (); } - Array s; + vector s; return s; }