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authorSamu Laaksonen <laaksonen.sj@gmail.com>2012-10-18 23:58:18 +0300
committerSamu Laaksonen <laaksonen.sj@gmail.com>2012-10-18 23:58:18 +0300
commita0f7ab0f77fa81b77d03de751e4a5f4e07c49d25 (patch)
tree92c033e000f6796f3e679ee8ba58bf83844b84c5 /Box2D/Common/b2Math.cpp
parent2049e08432907f645f5a3786ea4f50a6456b77c4 (diff)
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Box2d precommit
Added - box2d source codes to be added in project when there is no longer cba - some base ideas to display classes Improved - level loading : layer with property "solid" is now loaded tile by tile, this allows adding static rigid bodies to these items for collision detection
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+/*
+* Copyright (c) 2007-2009 Erin Catto http://www.box2d.org
+*
+* This software is provided 'as-is', without any express or implied
+* warranty. In no event will the authors be held liable for any damages
+* arising from the use of this software.
+* Permission is granted to anyone to use this software for any purpose,
+* including commercial applications, and to alter it and redistribute it
+* freely, subject to the following restrictions:
+* 1. The origin of this software must not be misrepresented; you must not
+* claim that you wrote the original software. If you use this software
+* in a product, an acknowledgment in the product documentation would be
+* appreciated but is not required.
+* 2. Altered source versions must be plainly marked as such, and must not be
+* misrepresented as being the original software.
+* 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#include <Box2D/Common/b2Math.h>
+
+const b2Vec2 b2Vec2_zero(0.0f, 0.0f);
+
+/// Solve A * x = b, where b is a column vector. This is more efficient
+/// than computing the inverse in one-shot cases.
+b2Vec3 b2Mat33::Solve33(const b2Vec3& b) const
+{
+ float32 det = b2Dot(ex, b2Cross(ey, ez));
+ if (det != 0.0f)
+ {
+ det = 1.0f / det;
+ }
+ b2Vec3 x;
+ x.x = det * b2Dot(b, b2Cross(ey, ez));
+ x.y = det * b2Dot(ex, b2Cross(b, ez));
+ x.z = det * b2Dot(ex, b2Cross(ey, b));
+ return x;
+}
+
+/// Solve A * x = b, where b is a column vector. This is more efficient
+/// than computing the inverse in one-shot cases.
+b2Vec2 b2Mat33::Solve22(const b2Vec2& b) const
+{
+ float32 a11 = ex.x, a12 = ey.x, a21 = ex.y, a22 = ey.y;
+ float32 det = a11 * a22 - a12 * a21;
+ if (det != 0.0f)
+ {
+ det = 1.0f / det;
+ }
+ b2Vec2 x;
+ x.x = det * (a22 * b.x - a12 * b.y);
+ x.y = det * (a11 * b.y - a21 * b.x);
+ return x;
+}
+
+///
+void b2Mat33::GetInverse22(b2Mat33* M) const
+{
+ float32 a = ex.x, b = ey.x, c = ex.y, d = ey.y;
+ float32 det = a * d - b * c;
+ if (det != 0.0f)
+ {
+ det = 1.0f / det;
+ }
+
+ M->ex.x = det * d; M->ey.x = -det * b; M->ex.z = 0.0f;
+ M->ex.y = -det * c; M->ey.y = det * a; M->ey.z = 0.0f;
+ M->ez.x = 0.0f; M->ez.y = 0.0f; M->ez.z = 0.0f;
+}
+
+/// Returns the zero matrix if singular.
+void b2Mat33::GetSymInverse33(b2Mat33* M) const
+{
+ float32 det = b2Dot(ex, b2Cross(ey, ez));
+ if (det != 0.0f)
+ {
+ det = 1.0f / det;
+ }
+
+ float32 a11 = ex.x, a12 = ey.x, a13 = ez.x;
+ float32 a22 = ey.y, a23 = ez.y;
+ float32 a33 = ez.z;
+
+ M->ex.x = det * (a22 * a33 - a23 * a23);
+ M->ex.y = det * (a13 * a23 - a12 * a33);
+ M->ex.z = det * (a12 * a23 - a13 * a22);
+
+ M->ey.x = M->ex.y;
+ M->ey.y = det * (a11 * a33 - a13 * a13);
+ M->ey.z = det * (a13 * a12 - a11 * a23);
+
+ M->ez.x = M->ex.z;
+ M->ez.y = M->ey.z;
+ M->ez.z = det * (a11 * a22 - a12 * a12);
+}