#include "expression.hpp" #include "parser.hpp" #include "print.h" #include "syntaxer.hpp" #include #include namespace Syntax { static void highlight_issue(const std::vector& tv, const int location) { int start = location - 7 < 0 ? 0 : location - 7; int finish = location + 7 > tv.size() - 1 ? tv.size() - 1 : location + 7; std::cout << " >>> "; for (int i = start; i <= finish; i++) { if (i == location) { std::cout << "\033[31m" << *tv[i].to_math_str() << "\033[0m "; } else { std::cout << *tv[i].to_math_str() << " "; } } std::cout << "\n"; } int check_syntax(std::vector& tv) { int problem_cnt = 0; // check token type sequence { for (int i = 0, l = tv.size() - 1, pc; pc = problem_cnt, i < l; i++) { switch (tv[i].t) { case Expression::Token::VAR: case Expression::Token::CONST: switch (tv[i+1].t) { case Expression::Token::OPERATOR: switch (tv[i+1].v.o) { case Expression::Token::OPA: pr_warn("Expected operator at token " << i << ", got opening bracket"); problem_cnt++; break; case Expression::Token::CPA: break; default: break; } break; case Expression::Token::VAR: pr_warn("Expected operator at token " << i << ", got variable"); problem_cnt++; break; case Expression::Token::CONST: pr_warn("Expected operator at token " << i << ", got constant"); problem_cnt++; break; default: pr_warn("Impossible token type, this is a bug!"); break; } break; case Expression::Token::OPERATOR: switch (tv[i].v.o) { case Expression::Token::OPA: switch (tv[i+1].t) { case Expression::Token::OPERATOR: switch (tv[i+1].v.o) { case Expression::Token::OPA: break; case Expression::Token::CPA: pr_warn("Expected value at token " << i << ", got closing bracket"); problem_cnt++; break; default: pr_warn("Expected value at token " << i << ", got operator"); problem_cnt++; break; } break; case Expression::Token::CONST: case Expression::Token::VAR: break; default: pr_warn("Impossible token type, this is a bug!"); break; } break; case Expression::Token::CPA: switch (tv[i+1].t) { case Expression::Token::OPERATOR: switch (tv[i+1].v.o) { case Expression::Token::CPA: break; case Expression::Token::OPA: pr_warn("Expected operator at token " << i << ", got opening bracket"); problem_cnt++; break; default: break; } break; case Expression::Token::CONST: pr_warn("Expected operator at token " << i << ", got constant"); problem_cnt++; break; case Expression::Token::VAR: pr_warn("Expected operator at token " << i << ", got variable"); problem_cnt++; break; default: pr_warn("Impossible token type, this is a bug!"); break; } break; default: switch (tv[i+1].t) { case Expression::Token::OPERATOR: switch (tv[i+1].v.o) { case Expression::Token::CPA: pr_warn("Expected value at token " << i << ", got closing bracket"); problem_cnt++; break; case Expression::Token::OPA: break; default: pr_warn("Expected value at token " << i << ", got operator"); problem_cnt++; break; } break; case Expression::Token::CONST: break; case Expression::Token::VAR: break; default: pr_warn("Impossible token type, this is a bug!"); break; } break; } break; default: pr_warn("Impossible token type, this is a bug!"); break; } if (pc != problem_cnt) { highlight_issue(tv, i + 1); } } } // check bracket matching { std::stack s; for (int i = 0, l = tv.size(); i < l; i++) { if (tv[i].t == Expression::Token::OPERATOR) { switch (tv[i].v.o) { case Expression::Token::OPA: s.push(i); break; case Expression::Token::CPA: if (s.size()) { s.pop(); } else { pr_warn("Missing opening bracket at token " << i); problem_cnt++; highlight_issue(tv, i); } break; default: break; } } } for (int i = 0, l = s.size(); i < l; i++) { problem_cnt++; pr_warn("Opening bracket at token " << s.top() << " expected a closing bracket, but none found"); highlight_issue(tv, s.top()); s.pop(); } } return problem_cnt; } // get mop = Math OPerator location (=absolute index in std::vector) // mapper of 'priority vector index' -> 'token vector index' static int get_mop_location(const std::vector& v, int position) { int i = 0, l = v.size(), p = -1; for (; p += v[i].t == Expression::Token::OPERATOR && v[i].v.o != Expression::Token::OPA && v[i].v.o != Expression::Token::CPA, p != position; i++); return i; } static int get_left_location(const std::vector& v, int location) { for (int i = location - 1; i >= 0; i--) { if (v[i].t != Expression::Token::OPERATOR && v[i].t != Expression::Token::NAT) { return i; } } return -1; } static int get_right_location(const std::vector& v, int location) { for (int i = location + 1, l = v.size(); i < l; i++) { if (v[i].t != Expression::Token::OPERATOR && v[i].t != Expression::Token::NAT) { return i; } } return -1; } static int get_operator_weight(const std::vector& v, int location) { int weight = 0; switch (const Expression::Token &p = v[get_left_location(v, location)]; p.t) { case Expression::Token::VAR: case Expression::Token::CONST: break; case Expression::Token::CV: weight += p.v.cv.w; break; default: pr_warn("Invalid token found to the left of operator"); break; } switch (const Expression::Token &p = v[get_right_location(v, location)]; p.t) { case Expression::Token::VAR: case Expression::Token::CONST: break; case Expression::Token::CV: weight += p.v.cv.w; break; default: pr_warn("Invalid token found to the left of operator"); break; } return weight; } static int get_min_index(const std::vector& v) { int idx = 0; for (int i = 1, l = v.size(); i < l; i++) { if (v[i] < v[idx]) { idx = i; } } return idx; } static int get_max_index(const std::vector& v) { int idx = 0; for (int i = 1, l = v.size(); i < l; i++) { if (v[i] > v[idx]) { idx = i; } } return idx; } static void write_operation( std::vector& ov, const std::vector& tv, std::vector& mv, std::vector& mp, int position) { int location = get_mop_location(mv, position); int left_location = get_left_location(mv, location); int right_location = get_right_location(mv, location); Expression::Token &o = mv[location], &l = mv[left_location], &r = mv[right_location]; int this_op_weight = get_operator_weight(mv, location) + 1; int il = l.t == Expression::Token::CV ? l.v.cv.i : left_location; int ir = r.t == Expression::Token::CV ? r.v.cv.i : right_location; // write new operation int this_ov_index = ov.size(); ov.emplace_back(o.v.o, l.t == Expression::Token::CV ? Expression::Operation::DERIVED : Expression::Operation::NORMAL, il, r.t == Expression::Token::CV ? Expression::Operation::DERIVED : Expression::Operation::NORMAL, ir, this_op_weight); // update mv l.t = Expression::Token::NAT; r.t = Expression::Token::NAT; o.t = Expression::Token::CV; o.v.cv.w = this_op_weight; o.v.cv.i = this_ov_index; // update mp mp.erase(mp.begin() + position, mp.begin() + position + 1); } static void add_bracket_to(std::vector& tv, const int location, const int direction) { int i = location + direction, l = tv.size(), lv = 0; if (direction == -1) { for (; i >= 0; i--) { if (tv[i].t == Expression::Token::OPERATOR) { switch (tv[i].v.o) { case Expression::Token::OPA: lv--; break; case Expression::Token::CPA: lv++; break; default: if (!lv) { tv.insert(tv.begin() + i + 1, Expression::Token(Expression::Token::OPA)); return; } break; } } } tv.insert(tv.begin(), Expression::Token(Expression::Token::OPA)); } else if (direction == 1) { for (; i < l; i++) { if (tv[i].t == Expression::Token::OPERATOR) { switch (tv[i].v.o) { case Expression::Token::OPA: lv++; break; case Expression::Token::CPA: lv--; break; default: if (!lv) { tv.insert(tv.begin() + i, Expression::Token(Expression::Token::CPA)); return; } break; } } } tv.emplace_back(Expression::Token::CPA); } } static void create_prios_vector(const std::vector& tv, std::vector& pv) { for (int i = 0, cp = 0, l = tv.size(); i < l; i++) { if (tv[i].t == Expression::Token::OPERATOR) { switch (tv[i].v.o) { case Expression::Token::OPA: cp++; break; case Expression::Token::CPA: cp--; break; case Expression::Token::ADD: case Expression::Token::SUB: case Expression::Token::MUL: case Expression::Token::DIV: case Expression::Token::POW: pv.emplace_back(cp); break; default: pr_warn("Token vector has broken operator at " << i); break; } } } } static void find_top_prio_op_range(const std::vector& mp, int& start, int& finish) { for (int i = 0, l = mp.size(), prio = -1; i < l; i++) { if (mp[i] > prio) { prio = mp[i]; start = finish = i; } else if (mp[i] == prio && finish == i - 1) { finish = i; } } } struct Range { int start, finish; Range(int start, int finish) : start(start), finish(finish) { } }; static void find_select_prio_op_ranges(const std::vector& mp, std::vector& ranges, int target_prio) { for (int i = 0, l = mp.size(), prio = 0, recording_range = 0; i < l; i++) { if (mp[i] == target_prio && !recording_range) { recording_range = 1; ranges.emplace_back(i, 0); } else if (mp[i] == target_prio && recording_range) { ranges.back().finish = i; } else if (mp[i] != target_prio && recording_range) { recording_range = 0; } } } static void rank_inner_ops_raw(std::vector& inner_op_ranks, const std::vector& mv, const int start, const int finish) { for (int i = 0, lvl = 0; i < finish - start + 1; i++) { int idx = get_mop_location(mv, start + i); switch (mv[idx].v.o) { case Expression::Token::ADD: case Expression::Token::SUB: inner_op_ranks.push_back(0); break; case Expression::Token::MUL: case Expression::Token::DIV: inner_op_ranks.push_back(1); break; case Expression::Token::POW: inner_op_ranks.push_back(2); break; default: pr_warn("Operator is unrankable"); break; } } } static void rank_inner_ops(std::vector& inner_top_ops, const std::vector& mv, const int start, const int finish) { for (int i = 0, lvl = 0; i < finish - start + 1; i++) { int idx = get_mop_location(mv, start + i); switch (mv[idx].v.o) { case Expression::Token::ADD: case Expression::Token::SUB: if (lvl == 0) inner_top_ops.push_back(i); break; case Expression::Token::MUL: case Expression::Token::DIV: if (lvl < 1) { lvl = 1; inner_top_ops.clear(); } if (lvl == 1) inner_top_ops.push_back(i); break; case Expression::Token::POW: if (lvl < 2) { lvl = 2; inner_top_ops.clear(); } if (lvl == 2) inner_top_ops.push_back(i); break; default: pr_warn("Operator is unrankable"); break; } } } static void weight_operators(std::vector& operator_weights, const std::vector& mv, const std::vector& inner_top_ops, const int start) { for (int i = 0, l = inner_top_ops.size(); i < l; i++) { int operator_location = get_mop_location(mv, start + inner_top_ops[i]); operator_weights.push_back(get_operator_weight(mv, operator_location)); } } void apply_corrections(std::vector& tv) { pr_debug("Starting with vector:"); Parser::print_math_vector(tv); // global prio evaluation std::vector mp; create_prios_vector(tv, mp); if (mp.size() == 0) { return; } for (int current_prio_level = mp[get_max_index(mp)]; current_prio_level >= 0; current_prio_level--) { // calculate how many ranges need to be processed at this level std::vector rv; find_select_prio_op_ranges(mp, rv, current_prio_level); for (int current_range = rv.size() - 1; current_range >= 0; current_range--) { Range &outer_range = rv[current_range]; std::vector inner_prios; rank_inner_ops_raw(inner_prios, tv, outer_range.start, outer_range.finish); for (int inner_prio = inner_prios[get_max_index(inner_prios)]; inner_prio >= 0; inner_prio--) { std::vector inner_ranges; find_select_prio_op_ranges(inner_prios, inner_ranges, inner_prio); for (int inner_range = inner_ranges.size() - 1; inner_range >= 0; inner_range--) { int corrections = 1; Range &range = inner_ranges[inner_range]; while (corrections) { corrections = 0; int same_op_cnt = -1; for (int i = outer_range.start + range.start; i < outer_range.start + range.finish + 1; i++) { int loc = get_mop_location(tv, i); Expression::Token& tok = tv[loc]; if (tok.v.o == Expression::Token::SUB || tok.v.o == Expression::Token::DIV) { same_op_cnt++; if (same_op_cnt == 2) { same_op_cnt = 0; corrections++; switch (tok.v.o) { case Expression::Token::SUB: tok.v.o = Expression::Token::ADD; break; case Expression::Token::DIV: tok.v.o = Expression::Token::MUL; break; default: pr_warn("Impossible operator in this branch, this is a bug!"); break; } // inverse order to keep location valid between calls add_bracket_to(tv, loc, 1); add_bracket_to(tv, loc, -1); pr_debug("Updated vector:"); Parser::print_math_vector(tv); } } } } } } } } } std::vector build_op_vector(const std::vector& tv) { // define operator precedency std::vector g_prios; create_prios_vector(tv, g_prios); for (int i = 0, l = g_prios.size(); i < l; i++) { pr_debug("prio=" << g_prios[i]); } // build operation vector std::vector ov; { std::vector mv = tv; std::vector mp = g_prios; while (mp.size()) { int start, finish; find_top_prio_op_range(mp, start, finish); // --- process current range --- while (start != finish) { std::vector inner_top_ops; rank_inner_ops(inner_top_ops, mv, start, finish); std::vector operator_weights; weight_operators(operator_weights, mv, inner_top_ops, start); write_operation(ov, tv, mv, mp, start + inner_top_ops[get_min_index(operator_weights)]); finish--; } // process final operation w/out running selection algorithm write_operation(ov, tv, mv, mp, start); } } for (int i = 0, l = ov.size(); i < l; i++) { const Expression::Operation &o = ov[i]; prs_debug("OP: "); if (o.tl == Expression::Operation::NORMAL) { const Expression::Token &real_value = tv[o.il]; if (real_value.t == Expression::Token::VAR) { pri_debug(*real_value.v.s); } else { pri_debug(real_value.v.d); } } else { pri_debug("t" << o.il); } pri_debug(" " << o.o.op_math_str() << " "); if (o.tr == Expression::Operation::NORMAL) { const Expression::Token &real_value = tv[o.ir]; if (real_value.t == Expression::Token::VAR) { pri_debug(*real_value.v.s); } else { pri_debug(real_value.v.d); } } else { pri_debug("t" << o.ir); } pri_debug(" = t" << i << "\n"); } return ov; } }