/* * 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 #include #include #include #include "base/logging.hh" MathExpr::MathExpr(std::string expr) : ops( std::array {{ 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; }