catmullromcurve3.inl

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/*
    Sheep - A Rigid Body Dynamics Engine
    Copyright (C) 2001-2004 Francois Beaune
    Contact: http://toxicengine.sourceforge.net/

    This file is part of Sheep.

    Sheep is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation; either version 2 of the License, or
    (at your option) any later version.

    Sheep is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with Sheep; if not, write to the Free Software
    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
*/

inline
Point3 CatmullRomCurve3::GetPointAt(Real t) const {
    assert(t >= 0 && t <= 1);

    // 9 fmul, 9 fadd.
    return ((m_c[3] * t + m_c[2]) * t + m_c[1]) * t + m_c[0];
}

inline
Vector3 CatmullRomCurve3::GetTangentAt(Real t) const {
    assert(t >= 0 && t <= 1);

    // 12 fmul, 8 fadd, 1 fdiv, 1 fsqrt.
    return ((m_c2[0] * t + m_c2[1]) * t + m_c[1]).Normalized();
}

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