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+/*
+ * Copyright (c) 2016 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
+ */
+
+#include "sim/mathexpr.hh"
+
+#include <algorithm>
+#include <regex>
+#include <string>
+
+#include "base/misc.hh"
+
+MathExpr::MathExpr(std::string expr)
+ : ops(
+ std::array<OpSearch, uNeg + 1> {
+ OpSearch {true, bAdd, 0, '+', [](double a, double b) { return a + b; }},
+ OpSearch {true, bSub, 0, '-', [](double a, double b) { return a - b; }},
+ OpSearch {true, bMul, 1, '*', [](double a, double b) { return a * b; }},
+ OpSearch {true, bDiv, 1, '/', [](double a, double b) { return a / b; }},
+ OpSearch {false,uNeg, 2, '-', [](double a, double b) { return -b; }},
+ OpSearch {true, bPow, 3, '^', [](double a, double b) {
+ return std::pow(a,b); }
+ },
+ })
+{
+ // Cleanup
+ expr.erase(remove_if(expr.begin(), expr.end(), isspace), expr.end());
+
+ root = MathExpr::parse(expr);
+ panic_if(!root, "Invalid expression\n");
+}
+
+/**
+ * This function parses a string expression into an expression tree.
+ * It will look for operators in priority order to recursively build the
+ * tree, respecting parenthesization.
+ * Constants can be expressed in any format accepted by std::stod, whereas
+ * variables are essentially [A-Za-z0-9\.$\\]+
+ */
+MathExpr::Node *
+MathExpr::parse(std::string expr) {
+ if (expr.size() == 0)
+ return NULL;
+
+ // From low to high priority
+ int par = 0;
+ for (unsigned p = 0; p < MAX_PRIO; p++) {
+ for (int i = expr.size() - 1; i >= 0; i--) {
+ if (expr[i] == ')')
+ par++;
+ if (expr[i] == '(')
+ par--;
+
+ if (par < 0) return NULL;
+ if (par > 0) continue;
+
+ for (unsigned opt = 0; opt < ops.size(); opt++) {
+ if (ops[opt].priority != p) continue;
+ if (ops[opt].c == expr[i]) {
+ // Try to parse each side
+ Node *l = NULL;
+ if (ops[opt].binary)
+ l = parse(expr.substr(0, i));
+ Node *r = parse(expr.substr(i + 1));
+ if ((l && r) || (!ops[opt].binary && r)) {
+ // Match!
+ Node *n = new Node();
+ n->op = ops[opt].op;
+ n->l = l;
+ n->r = r;
+ return n;
+ }
+ }
+ }
+ }
+ }
+
+ // Remove trivial parenthesis
+ if (expr.size() >= 2 && expr[0] == '(' && expr[expr.size() - 1] == ')')
+ return parse(expr.substr(1, expr.size() - 2));
+
+ // Match a number
+ {
+ char *sptr;
+ double v = strtod(expr.c_str(), &sptr);
+ if (sptr != expr.c_str()) {
+ Node *n = new Node();
+ n->op = sValue;
+ n->value = v;
+ return n;
+ }
+ }
+
+ // Match a variable
+ {
+ bool contains_non_alpha = false;
+ for (auto & c: expr)
+ contains_non_alpha = contains_non_alpha or
+ !( (c >= 'a' && c <= 'z') ||
+ (c >= 'A' && c <= 'Z') ||
+ (c >= '0' && c <= '9') ||
+ c == '$' || c == '\\' || c == '.' || c == '_');
+
+ if (!contains_non_alpha) {
+ Node * n = new Node();
+ n->op = sVariable;
+ n->variable = expr;
+ return n;
+ }
+ }
+
+ return NULL;
+}
+
+double
+MathExpr::eval(const Node *n, EvalCallback fn) const {
+ if (!n)
+ return 0;
+ else if (n->op == sValue)
+ return n->value;
+ else if (n->op == sVariable)
+ return fn(n->variable);
+
+ for (auto & opt : ops)
+ if (opt.op == n->op)
+ return opt.fn( eval(n->l, fn), eval(n->r, fn) );
+
+ panic("Invalid node!\n");
+ return 0;
+}
+
+std::string
+MathExpr::toStr(Node *n, std::string prefix) const {
+ std::string ret;
+ ret += prefix + "|-- " + n->toStr() + "\n";
+ if (n->r)
+ ret += toStr(n->r, prefix + "| ");
+ if (n->l)
+ ret += toStr(n->l, prefix + "| ");
+ return ret;
+}
+