-/*******************************************************************************
-
- Copyright (c) 2009, Charles McGarvey
- All rights reserved.
-
- Redistribution and use in source and binary forms, with or without
- modification, are permitted provided that the following conditions are met:
-
- * Redistributions of source code must retain the above copyright notice,
- this list of conditions and the following disclaimer.
- * Redistributions in binary form must reproduce the above copyright notice,
- this list of conditions and the following disclaimer in the documentation
- and/or other materials provided with the distribution.
-
- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
- DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
- FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
- SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
- CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
- OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
- OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
-*******************************************************************************/
+/*] Copyright (c) 2009-2010, Charles McGarvey [**************************
+**] All rights reserved.
+*
+* vi:ts=4 sw=4 tw=75
+*
+* Distributable under the terms and conditions of the 2-clause BSD license;
+* see the file COPYING for a complete text of the license.
+*
+**************************************************************************/
#ifndef _MOOF_MATH_HH_
#define _MOOF_MATH_HH_
#include <cmath>
#include <cml/cml.h>
-#include <Moof/OpenGL.hh> // GLscalar
+#include <SDL/SDL_opengl.h>
+
+#if HAVE_CONFIG_H
+#include "config.h"
+#endif
+
+
+#if USE_DOUBLE_PRECISION
+
+typedef GLdouble GLscalar;
+#define GL_SCALAR GL_DOUBLE
+#define SCALAR(D) (D)
+
+#else
+
+typedef GLfloat GLscalar;
+#define GL_SCALAR GL_FLOAT
+#define SCALAR(F) (F##f)
+
+#endif
namespace Mf {
return Vector2(vec[0], vec[1]);
}
-inline Vector4 promote(const Vector3& vec, Scalar extra = 1.0)
+inline Vector4 promote(const Vector3& vec, Scalar extra = 0.0)
{
return Vector4(vec[0], vec[1], vec[2], extra);
}
-inline Vector3 promote(const Vector2& vec, Scalar extra = 1.0)
+inline Vector3 promote(const Vector2& vec, Scalar extra = 0.0)
{
return Vector3(vec[0], vec[1], extra);
}
+template <class R, class P>
+inline R convert(const P& p)
+{
+ return R(p);
+}
+
+template <>
+inline Vector3 convert<Vector3,Vector4>(const Vector4& vec)
+{
+ return Vector3(vec[0], vec[1], vec[2]);
+}
+
+template <>
+inline Vector2 convert<Vector2,Vector3>(const Vector3& vec)
+{
+ return Vector2(vec[0], vec[1]);
+}
+
+template <>
+inline Vector4 convert<Vector4,Vector3>(const Vector3& vec)
+{
+ return Vector4(vec[0], vec[1], vec[2], SCALAR(0.0));
+}
+
+template <>
+inline Vector3 convert<Vector3,Vector2>(const Vector2& vec)
+{
+ return Vector3(vec[0], vec[1], SCALAR(0.0));
+}
+
+template <class P>
+struct cast
+{
+ cast(const P& p) : param(p) {}
+ template <class R>
+ operator R() { return convert<R,P>(param); }
+private:
+ const P& param;
+};
+
+
-const Scalar EPSILON = 0.000001;
+const Scalar EPSILON = SCALAR(0.000001);
/**
* Check the equality of scalars with a certain degree of error allowed.
}
+
+// Here are some generic implementations of a few simple integrators. To
+// use, you need one type representing the state and another containing the
+// derivatives of the primary state variables. The state class must
+// implement these methods:
+//
+// void getDerivative(Derivative_Type& derivative, Scalar absoluteTime);
+// void step(const Derivative_Type& derivative, Scalar deltaTime);
+//
+// Additionally, the derivative class must overload a few operators:
+//
+// Derivative_Type operator+(const Derivative_Type& other) const
+// Derivative_Type operator*(const Derivative_Type& other) const
+
+template <class S, class D>
+inline D evaluate(const S& state, Scalar t)
+{
+ D derivative;
+ state.getDerivative(derivative, t);
+ return derivative;
+}
+
+template <class S, class D>
+inline D evaluate(S state, Scalar t, Scalar dt, const D& derivative)
+{
+ state.step(derivative, dt);
+ return evaluate<S,D>(state, t + dt);
+}
+
+
+template <class S, class D>
+inline void euler(S& state, Scalar t, Scalar dt)
+{
+ D a = evaluate<S,D>(state, t);
+
+ state.step(a, dt);
+}
+
+template <class S, class D>
+inline void rk2(S& state, Scalar t, Scalar dt)
+{
+ D a = evaluate<S,D>(state, t);
+ D b = evaluate<S,D>(state, t, dt * SCALAR(0.5), a);
+
+ state.step(b, dt);
+}
+
+template <class S, class D>
+inline void rk4(S& state, Scalar t, Scalar dt)
+{
+ D a = evaluate<S,D>(state, t);
+ D b = evaluate<S,D>(state, t, dt * SCALAR(0.5), a);
+ D c = evaluate<S,D>(state, t, dt * SCALAR(0.5), b);
+ D d = evaluate<S,D>(state, t, dt, c);
+
+ state.step((a + (b + c) * SCALAR(2.0) + d) * SCALAR(1.0/6.0), dt);
+}
+
+
} // namespace Mf
#endif // _MOOF_MATH_HH_
-/** vim: set ts=4 sw=4 tw=80: *************************************************/
-
projects / chaz / yoink / blobdiff