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+/*
+ Written by Xuchen Han <xuchenhan2015@u.northwestern.edu>
+
+ Bullet Continuous Collision Detection and Physics Library
+ Copyright (c) 2019 Google Inc. http://bulletphysics.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.
+ */
+
+#ifndef BT_KRYLOV_SOLVER_H
+#define BT_KRYLOV_SOLVER_H
+#include <iostream>
+#include <cmath>
+#include <limits>
+#include <LinearMath/btAlignedObjectArray.h>
+#include <LinearMath/btVector3.h>
+#include <LinearMath/btScalar.h>
+#include "LinearMath/btQuickprof.h"
+
+template <class MatrixX>
+class btKrylovSolver
+{
+ typedef btAlignedObjectArray<btVector3> TVStack;
+
+public:
+ int m_maxIterations;
+ btScalar m_tolerance;
+ btKrylovSolver(int maxIterations, btScalar tolerance)
+ : m_maxIterations(maxIterations), m_tolerance(tolerance)
+ {
+ }
+
+ virtual ~btKrylovSolver() {}
+
+ virtual int solve(MatrixX& A, TVStack& x, const TVStack& b, bool verbose = false) = 0;
+
+ virtual void reinitialize(const TVStack& b) = 0;
+
+ virtual SIMD_FORCE_INLINE TVStack sub(const TVStack& a, const TVStack& b)
+ {
+ // c = a-b
+ btAssert(a.size() == b.size());
+ TVStack c;
+ c.resize(a.size());
+ for (int i = 0; i < a.size(); ++i)
+ {
+ c[i] = a[i] - b[i];
+ }
+ return c;
+ }
+
+ virtual SIMD_FORCE_INLINE btScalar squaredNorm(const TVStack& a)
+ {
+ return dot(a, a);
+ }
+
+ virtual SIMD_FORCE_INLINE btScalar norm(const TVStack& a)
+ {
+ btScalar ret = 0;
+ for (int i = 0; i < a.size(); ++i)
+ {
+ for (int d = 0; d < 3; ++d)
+ {
+ ret = btMax(ret, btFabs(a[i][d]));
+ }
+ }
+ return ret;
+ }
+
+ virtual SIMD_FORCE_INLINE btScalar dot(const TVStack& a, const TVStack& b)
+ {
+ btScalar ans(0);
+ for (int i = 0; i < a.size(); ++i)
+ ans += a[i].dot(b[i]);
+ return ans;
+ }
+
+ virtual SIMD_FORCE_INLINE void multAndAddTo(btScalar s, const TVStack& a, TVStack& result)
+ {
+ // result += s*a
+ btAssert(a.size() == result.size());
+ for (int i = 0; i < a.size(); ++i)
+ result[i] += s * a[i];
+ }
+
+ virtual SIMD_FORCE_INLINE TVStack multAndAdd(btScalar s, const TVStack& a, const TVStack& b)
+ {
+ // result = a*s + b
+ TVStack result;
+ result.resize(a.size());
+ for (int i = 0; i < a.size(); ++i)
+ result[i] = s * a[i] + b[i];
+ return result;
+ }
+
+ virtual SIMD_FORCE_INLINE void setTolerance(btScalar tolerance)
+ {
+ m_tolerance = tolerance;
+ }
+};
+#endif /* BT_KRYLOV_SOLVER_H */