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+/*
+ * Copyright (c) 2015 ARM Limited
+ * All rights reserved
+ *
+ * The license below extends only to copyright in the software and shall
+ * not be construed as granting a license to any other intellectual
+ * property including but not limited to intellectual property relating
+ * to a hardware implementation of the functionality of the software
+ * licensed hereunder. You may use the software subject to the license
+ * terms below provided that you ensure that this notice is replicated
+ * unmodified and in its entirety in all distributions of the software,
+ * modified or unmodified, in source code or in binary form.
+ *
+ * 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;
+ * neither the name of the copyright holders nor the names of its
+ * contributors may be used to endorse or promote products derived from
+ * this software without specific prior written permission.
+ *
+ * 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
+ * OWNER 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.
+ *
+ * Authors: David Guillen Fandos
+ */
+
+#ifndef __SIM_LINEAR_SOLVER_HH__
+#define __SIM_LINEAR_SOLVER_HH__
+
+#include <cassert>
+#include <sstream>
+#include <string>
+#include <vector>
+
+/**
+ * This class describes a linear equation with constant coefficients.
+ * The equation has a certain (variable) number of unkowns and it can hold
+ * N+1 coefficients.
+ */
+
+class LinearEquation {
+ public:
+ LinearEquation(unsigned unknowns) {
+ eq = std::vector <double> (unknowns + 1, 0);
+ }
+
+ // Add two equations
+ LinearEquation operator+ (const LinearEquation& rhs) {
+ assert(this->eq.size() == rhs.eq.size());
+
+ LinearEquation res(this->eq.size() - 1);
+
+ for (unsigned i = 0; i < res.eq.size(); i++)
+ res.eq[i] = this->eq[i] + rhs.eq[i];
+
+ return res;
+ }
+
+ // Multiply the equation by a constant
+ LinearEquation & operator*= (const double cnt) {
+ for (auto & c: eq)
+ c *= cnt;
+
+ return *this;
+ }
+
+ // Access a certain equation coefficient
+ double & operator[] (unsigned unkw) {
+ assert(unkw < eq.size());
+ return eq[unkw];
+ }
+
+ // Get a string representation
+ std::string toStr() const {
+ std::ostringstream oss;
+ for (unsigned i = 0; i < eq.size(); i++) {
+ if (i)
+ oss << " + ";
+ oss << eq[i];
+ if (i != eq.size() - 1)
+ oss << "*x" << i;
+ }
+ oss << " = 0";
+ return oss.str();
+ }
+
+ // Index for the constant term
+ unsigned cnt() const { return eq.size() - 1; }
+
+ private:
+
+ /** Coefficients */
+ std::vector <double> eq;
+};
+
+class LinearSystem {
+ public:
+ LinearSystem(unsigned unknowns) {
+ for (unsigned i = 0; i < unknowns; i++)
+ matrix.push_back(LinearEquation(unknowns));
+ }
+
+ LinearEquation & operator[] (unsigned eq) {
+ assert(eq < matrix.size());
+ return matrix[eq];
+ }
+
+ std::string toStr() const {
+ std::string r;
+ for (auto & eq: matrix)
+ r += eq.toStr() + "\n";
+ return r;
+ }
+
+ std::vector <double> solve() const;
+
+ private:
+ std::vector < LinearEquation > matrix;
+};
+
+#endif