mirror of
https://github.com/Z3Prover/z3
synced 2025-04-12 04:03:39 +00:00
1019 lines
35 KiB
C++
1019 lines
35 KiB
C++
/*++
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Copyright (c) 2011 Microsoft Corporation
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Module Name:
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seq_decl_plugin.h
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Abstract:
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decl_plugin for the theory of sequences
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Author:
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Nikolaj Bjorner (nbjorner) 2011-14-11
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Revision History:
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--*/
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#include "ast/seq_decl_plugin.h"
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#include "ast/arith_decl_plugin.h"
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#include "ast/array_decl_plugin.h"
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#include "ast/ast_pp.h"
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#include <sstream>
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static bool is_hex_digit(char ch, unsigned& d) {
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if ('0' <= ch && ch <= '9') {
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d = ch - '0';
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return true;
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}
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if ('A' <= ch && ch <= 'F') {
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d = 10 + ch - 'A';
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return true;
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}
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if ('a' <= ch && ch <= 'f') {
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d = 10 + ch - 'a';
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return true;
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}
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return false;
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}
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static bool is_octal_digit(char ch, unsigned& d) {
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if ('0' <= ch && ch <= '7') {
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d = ch - '0';
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return true;
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}
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return false;
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}
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static bool is_escape_char(char const *& s, unsigned& result) {
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unsigned d1, d2, d3;
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if (*s != '\\' || *(s + 1) == 0) {
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return false;
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}
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if (*(s + 1) == 'x' &&
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is_hex_digit(*(s + 2), d1) && is_hex_digit(*(s + 3), d2)) {
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result = d1*16 + d2;
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s += 4;
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return true;
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}
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/* C-standard octal escapes: either 1, 2, or 3 octal digits,
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* stopping either at 3 digits or at the first non-digit character.
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*/
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/* 1 octal digit */
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if (is_octal_digit(*(s + 1), d1) && !is_octal_digit(*(s + 2), d2)) {
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result = d1;
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s += 2;
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return true;
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}
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/* 2 octal digits */
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if (is_octal_digit(*(s + 1), d1) && is_octal_digit(*(s + 2), d2) &&
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!is_octal_digit(*(s + 3), d3)) {
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result = d1 * 8 + d2;
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s += 3;
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return true;
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}
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/* 3 octal digits */
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if (is_octal_digit(*(s + 1), d1) && is_octal_digit(*(s + 2), d2) &&
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is_octal_digit(*(s + 3), d3)) {
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result = d1*64 + d2*8 + d3;
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s += 4;
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return true;
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}
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switch (*(s + 1)) {
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case 'a':
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result = '\a';
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s += 2;
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return true;
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case 'b':
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result = '\b';
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s += 2;
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return true;
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#if 0
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case 'e':
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result = '\e';
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s += 2;
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return true;
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#endif
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case 'f':
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result = '\f';
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s += 2;
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return true;
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case 'n':
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result = '\n';
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s += 2;
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return true;
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case 'r':
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result = '\r';
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s += 2;
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return true;
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case 't':
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result = '\t';
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s += 2;
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return true;
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case 'v':
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result = '\v';
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s += 2;
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return true;
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default:
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result = *(s + 1);
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s += 2;
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return true;
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}
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return false;
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}
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zstring::zstring(encoding enc): m_encoding(enc) {}
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zstring::zstring(char const* s, encoding enc): m_encoding(enc) {
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unsigned mask = 0xFF; // TBD for UTF
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while (*s) {
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unsigned ch;
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if (is_escape_char(s, ch)) {
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m_buffer.push_back(ch & mask);
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}
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else {
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m_buffer.push_back(*s & mask);
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++s;
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}
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}
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}
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zstring::zstring(zstring const& other) {
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m_buffer = other.m_buffer;
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m_encoding = other.m_encoding;
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}
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zstring::zstring(unsigned sz, unsigned const* s, encoding enc) {
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m_buffer.append(sz, s);
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m_encoding = enc;
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}
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zstring::zstring(unsigned num_bits, bool const* ch) {
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SASSERT(num_bits == 8 || num_bits == 16);
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m_encoding = (num_bits == 8)?ascii:unicode;
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unsigned n = 0;
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for (unsigned i = 0; i < num_bits; ++i) {
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n |= (((unsigned)ch[i]) << i);
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}
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m_buffer.push_back(n);
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}
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zstring::zstring(unsigned ch, encoding enc) {
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m_encoding = enc;
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m_buffer.push_back(ch & ((enc == ascii)?0x000000FF:0x0000FFFF));
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}
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zstring& zstring::operator=(zstring const& other) {
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m_encoding = other.m_encoding;
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m_buffer.reset();
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m_buffer.append(other.m_buffer);
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return *this;
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}
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zstring zstring::replace(zstring const& src, zstring const& dst) const {
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zstring result(m_encoding);
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if (length() < src.length()) {
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return zstring(*this);
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}
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if (src.length() == 0) {
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return dst + zstring(*this);
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}
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bool found = false;
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for (unsigned i = 0; i < length(); ++i) {
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bool eq = !found && i + src.length() <= length();
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for (unsigned j = 0; eq && j < src.length(); ++j) {
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eq = m_buffer[i+j] == src[j];
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}
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if (eq) {
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result.m_buffer.append(dst.m_buffer);
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found = true;
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i += src.length() - 1;
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}
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else {
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result.m_buffer.push_back(m_buffer[i]);
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}
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}
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return result;
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}
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static const char esc_table[32][6] =
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{ "\\x00", "\\x01", "\\x02", "\\x03", "\\x04", "\\x05", "\\x06", "\\x07", "\\x08", "\\x09", "\\n", "\\v", "\\f", "\\r", "\\x0E", "\\x0F",
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"\\x10", "\\x11", "\\x12", "\\x13", "\\x14", "\\x15", "\\x16", "\\x17", "\\x18", "\\x19", "\\x1A", "\\x1B", "\\x1C", "\\x1D", "\\x1E", "\\x1F"
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};
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std::string zstring::encode() const {
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SASSERT(m_encoding == ascii);
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std::ostringstream strm;
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for (unsigned i = 0; i < m_buffer.size(); ++i) {
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unsigned char ch = m_buffer[i];
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if (0 <= ch && ch < 32) {
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strm << esc_table[ch];
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}
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else if (ch == '\\') {
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strm << "\\\\";
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}
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else if (ch >= 128) {
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strm << "\\x" << std::hex << (unsigned)ch << std::dec;
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}
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else {
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strm << (char)(ch);
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}
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}
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return strm.str();
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}
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bool zstring::suffixof(zstring const& other) const {
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if (length() > other.length()) return false;
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bool suffix = true;
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for (unsigned i = 0; suffix && i < length(); ++i) {
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suffix = m_buffer[length()-i-1] == other[other.length()-i-1];
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}
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return suffix;
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}
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bool zstring::prefixof(zstring const& other) const {
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if (length() > other.length()) return false;
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bool prefix = true;
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for (unsigned i = 0; prefix && i < length(); ++i) {
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prefix = m_buffer[i] == other[i];
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}
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return prefix;
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}
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bool zstring::contains(zstring const& other) const {
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if (other.length() > length()) return false;
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unsigned last = length() - other.length();
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bool cont = false;
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for (unsigned i = 0; !cont && i <= last; ++i) {
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cont = true;
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for (unsigned j = 0; cont && j < other.length(); ++j) {
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cont = other[j] == m_buffer[j+i];
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}
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}
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return cont;
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}
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int zstring::indexof(zstring const& other, int offset) const {
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SASSERT(offset >= 0);
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if (static_cast<unsigned>(offset) <= length() && other.length() == 0) return offset;
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if (static_cast<unsigned>(offset) == length()) return -1;
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if (other.length() + offset > length()) return -1;
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unsigned last = length() - other.length();
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for (unsigned i = static_cast<unsigned>(offset); i <= last; ++i) {
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bool prefix = true;
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for (unsigned j = 0; prefix && j < other.length(); ++j) {
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prefix = m_buffer[i + j] == other[j];
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}
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if (prefix) {
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return static_cast<int>(i);
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}
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}
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return -1;
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}
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zstring zstring::extract(int offset, int len) const {
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zstring result(m_encoding);
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SASSERT(0 <= offset && 0 <= len);
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int last = std::min(offset+len, static_cast<int>(length()));
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for (int i = offset; i < last; ++i) {
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result.m_buffer.push_back(m_buffer[i]);
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}
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return result;
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}
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zstring zstring::operator+(zstring const& other) const {
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SASSERT(m_encoding == other.m_encoding);
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zstring result(*this);
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result.m_buffer.append(other.m_buffer);
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return result;
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}
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bool zstring::operator==(const zstring& other) const {
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// two strings are equal iff they have the same length and characters
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if (length() != other.length()) {
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return false;
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}
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for (unsigned i = 0; i < length(); ++i) {
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unsigned Xi = m_buffer[i];
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unsigned Yi = other[i];
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if (Xi != Yi) {
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return false;
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}
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}
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return true;
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}
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bool zstring::operator!=(const zstring& other) const {
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return !(*this == other);
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}
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std::ostream& operator<<(std::ostream &os, const zstring &str) {
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return os << str.encode();
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}
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bool operator<(const zstring& lhs, const zstring& rhs) {
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// This has the same semantics as strcmp()
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unsigned len = lhs.length();
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if (rhs.length() < len) {
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len = rhs.length();
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}
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for (unsigned i = 0; i < len; ++i) {
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unsigned Li = lhs[i];
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unsigned Ri = rhs[i];
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if (Li < Ri) {
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return true;
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} else if (Li > Ri) {
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return false;
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} else {
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continue;
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}
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}
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// at this point, all compared characters are equal,
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// so decide based on the relative lengths
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if (lhs.length() < rhs.length()) {
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return true;
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} else {
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return false;
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}
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}
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seq_decl_plugin::seq_decl_plugin(): m_init(false),
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m_stringc_sym("String"),
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m_charc_sym("Char"),
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m_string(nullptr),
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m_char(nullptr),
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m_re(nullptr) {}
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void seq_decl_plugin::finalize() {
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for (unsigned i = 0; i < m_sigs.size(); ++i)
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dealloc(m_sigs[i]);
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m_manager->dec_ref(m_string);
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m_manager->dec_ref(m_char);
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m_manager->dec_ref(m_re);
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}
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bool seq_decl_plugin::is_sort_param(sort* s, unsigned& idx) {
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return
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s->get_name().is_numerical() &&
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(idx = s->get_name().get_num(), true);
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}
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bool seq_decl_plugin::match(ptr_vector<sort>& binding, sort* s, sort* sP) {
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if (s == sP) return true;
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unsigned idx;
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if (is_sort_param(sP, idx)) {
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if (binding.size() <= idx) binding.resize(idx+1);
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if (binding[idx] && (binding[idx] != s)) return false;
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TRACE("seq_verbose", tout << "setting binding @ " << idx << " to " << mk_pp(s, *m_manager) << "\n";);
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binding[idx] = s;
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return true;
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}
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if (s->get_family_id() == sP->get_family_id() &&
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s->get_decl_kind() == sP->get_decl_kind() &&
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s->get_num_parameters() == sP->get_num_parameters()) {
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for (unsigned i = 0, sz = s->get_num_parameters(); i < sz; ++i) {
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parameter const& p = s->get_parameter(i);
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if (p.is_ast() && is_sort(p.get_ast())) {
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parameter const& p2 = sP->get_parameter(i);
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if (!match(binding, to_sort(p.get_ast()), to_sort(p2.get_ast()))) return false;
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}
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}
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return true;
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}
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else {
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TRACE("seq", tout << "Could not match " << mk_pp(s, *m_manager) << " and " << mk_pp(sP, *m_manager) << "\n";);
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return false;
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}
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}
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/*
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\brief match right associative operator.
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*/
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void seq_decl_plugin::match_right_assoc(psig& sig, unsigned dsz, sort *const* dom, sort* range, sort_ref& range_out) {
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ptr_vector<sort> binding;
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ast_manager& m = *m_manager;
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TRACE("seq_verbose",
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tout << sig.m_name << ": ";
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for (unsigned i = 0; i < dsz; ++i) tout << mk_pp(dom[i], m) << " ";
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if (range) tout << " range: " << mk_pp(range, m);
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tout << "\n";);
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if (dsz == 0) {
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std::ostringstream strm;
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strm << "Unexpected number of arguments to '" << sig.m_name << "' ";
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strm << "at least one argument expected " << dsz << " given";
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m.raise_exception(strm.str().c_str());
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}
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bool is_match = true;
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for (unsigned i = 0; is_match && i < dsz; ++i) {
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SASSERT(dom[i]);
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is_match = match(binding, dom[i], sig.m_dom[0].get());
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}
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if (range && is_match) {
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is_match = match(binding, range, sig.m_range);
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}
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if (!is_match) {
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std::ostringstream strm;
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strm << "Sort of function '" << sig.m_name << "' ";
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strm << "does not match the declared type. Given domain: ";
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for (unsigned i = 0; i < dsz; ++i) {
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strm << mk_pp(dom[i], m) << " ";
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}
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if (range) {
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strm << " and range: " << mk_pp(range, m);
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}
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m.raise_exception(strm.str().c_str());
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}
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range_out = apply_binding(binding, sig.m_range);
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SASSERT(range_out);
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TRACE("seq_verbose", tout << mk_pp(range_out, m) << "\n";);
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}
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void seq_decl_plugin::match(psig& sig, unsigned dsz, sort *const* dom, sort* range, sort_ref& range_out) {
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ptr_vector<sort> binding;
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ast_manager& m = *m_manager;
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if (sig.m_dom.size() != dsz) {
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std::ostringstream strm;
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strm << "Unexpected number of arguments to '" << sig.m_name << "' ";
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strm << sig.m_dom.size() << " arguments expected " << dsz << " given";
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m.raise_exception(strm.str().c_str());
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}
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bool is_match = true;
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for (unsigned i = 0; is_match && i < dsz; ++i) {
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is_match = match(binding, dom[i], sig.m_dom[i].get());
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}
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if (range && is_match) {
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is_match = match(binding, range, sig.m_range);
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}
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if (!is_match) {
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std::ostringstream strm;
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strm << "Sort of polymorphic function '" << sig.m_name << "' ";
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strm << "does not match the declared type. ";
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strm << "\nGiven domain: ";
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for (unsigned i = 0; i < dsz; ++i) {
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strm << mk_pp(dom[i], m) << " ";
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}
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if (range) {
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strm << " and range: " << mk_pp(range, m);
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}
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strm << "\nExpected domain: ";
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for (unsigned i = 0; i < dsz; ++i) {
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strm << mk_pp(sig.m_dom[i].get(), m) << " ";
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}
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m.raise_exception(strm.str().c_str());
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}
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if (!range && dsz == 0) {
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std::ostringstream strm;
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strm << "Sort of polymorphic function '" << sig.m_name << "' ";
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strm << "is ambiguous. Function takes no arguments and sort of range has not been constrained";
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m.raise_exception(strm.str().c_str());
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}
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range_out = apply_binding(binding, sig.m_range);
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SASSERT(range_out);
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}
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sort* seq_decl_plugin::apply_binding(ptr_vector<sort> const& binding, sort* s) {
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unsigned i;
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if (is_sort_param(s, i)) {
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if (binding.size() <= i || !binding[i]) {
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m_manager->raise_exception("Expecting type parameter to be bound");
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}
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return binding[i];
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}
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if (is_sort_of(s, m_family_id, SEQ_SORT) || is_sort_of(s, m_family_id, RE_SORT)) {
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SASSERT(s->get_num_parameters() == 1);
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SASSERT(s->get_parameter(0).is_ast());
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SASSERT(is_sort(s->get_parameter(0).get_ast()));
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sort* p = apply_binding(binding, to_sort(s->get_parameter(0).get_ast()));
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parameter param(p);
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return mk_sort(s->get_decl_kind(), 1, ¶m);
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}
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return s;
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}
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void seq_decl_plugin::init() {
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if(m_init) return;
|
|
ast_manager& m = *m_manager;
|
|
m_init = true;
|
|
sort* A = m.mk_uninterpreted_sort(symbol((unsigned)0));
|
|
sort* strT = m_string;
|
|
parameter paramA(A);
|
|
parameter paramS(strT);
|
|
sort* seqA = m.mk_sort(m_family_id, SEQ_SORT, 1, ¶mA);
|
|
parameter paramSA(seqA);
|
|
sort* reA = m.mk_sort(m_family_id, RE_SORT, 1, ¶mSA);
|
|
sort* reT = m.mk_sort(m_family_id, RE_SORT, 1, ¶mS);
|
|
sort* boolT = m.mk_bool_sort();
|
|
sort* intT = arith_util(m).mk_int();
|
|
sort* predA = array_util(m).mk_array_sort(A, boolT);
|
|
sort* seqAseqA[2] = { seqA, seqA };
|
|
sort* seqAreA[2] = { seqA, reA };
|
|
sort* reAreA[2] = { reA, reA };
|
|
sort* seqAint2T[3] = { seqA, intT, intT };
|
|
sort* seq2AintT[3] = { seqA, seqA, intT };
|
|
sort* str2T[2] = { strT, strT };
|
|
sort* str3T[3] = { strT, strT, strT };
|
|
sort* strTint2T[3] = { strT, intT, intT };
|
|
sort* strTreT[2] = { strT, reT };
|
|
sort* str2TintT[3] = { strT, strT, intT };
|
|
sort* seqAintT[2] = { seqA, intT };
|
|
sort* seq3A[3] = { seqA, seqA, seqA };
|
|
sort* reTintT[2] = { reT, intT };
|
|
m_sigs.resize(LAST_SEQ_OP);
|
|
// TBD: have (par ..) construct and load parameterized signature from premable.
|
|
m_sigs[OP_SEQ_UNIT] = alloc(psig, m, "seq.unit", 1, 1, &A, seqA);
|
|
m_sigs[OP_SEQ_EMPTY] = alloc(psig, m, "seq.empty", 1, 0, nullptr, seqA);
|
|
m_sigs[OP_SEQ_CONCAT] = alloc(psig, m, "seq.++", 1, 2, seqAseqA, seqA);
|
|
m_sigs[OP_SEQ_PREFIX] = alloc(psig, m, "seq.prefixof", 1, 2, seqAseqA, boolT);
|
|
m_sigs[OP_SEQ_SUFFIX] = alloc(psig, m, "seq.suffixof", 1, 2, seqAseqA, boolT);
|
|
m_sigs[OP_SEQ_CONTAINS] = alloc(psig, m, "seq.contains", 1, 2, seqAseqA, boolT);
|
|
m_sigs[OP_SEQ_EXTRACT] = alloc(psig, m, "seq.extract", 1, 3, seqAint2T, seqA);
|
|
m_sigs[OP_SEQ_REPLACE] = alloc(psig, m, "seq.replace", 1, 3, seq3A, seqA);
|
|
m_sigs[OP_SEQ_INDEX] = alloc(psig, m, "seq.indexof", 1, 3, seq2AintT, intT);
|
|
m_sigs[OP_SEQ_AT] = alloc(psig, m, "seq.at", 1, 2, seqAintT, seqA);
|
|
m_sigs[OP_SEQ_LENGTH] = alloc(psig, m, "seq.len", 1, 1, &seqA, intT);
|
|
m_sigs[OP_RE_PLUS] = alloc(psig, m, "re.+", 1, 1, &reA, reA);
|
|
m_sigs[OP_RE_STAR] = alloc(psig, m, "re.*", 1, 1, &reA, reA);
|
|
m_sigs[OP_RE_OPTION] = alloc(psig, m, "re.opt", 1, 1, &reA, reA);
|
|
m_sigs[OP_RE_RANGE] = alloc(psig, m, "re.range", 1, 2, seqAseqA, reA);
|
|
m_sigs[OP_RE_CONCAT] = alloc(psig, m, "re.++", 1, 2, reAreA, reA);
|
|
m_sigs[OP_RE_UNION] = alloc(psig, m, "re.union", 1, 2, reAreA, reA);
|
|
m_sigs[OP_RE_INTERSECT] = alloc(psig, m, "re.inter", 1, 2, reAreA, reA);
|
|
m_sigs[OP_RE_LOOP] = alloc(psig, m, "re.loop", 1, 1, &reA, reA);
|
|
m_sigs[OP_RE_COMPLEMENT] = alloc(psig, m, "re.complement", 1, 1, &reA, reA);
|
|
m_sigs[OP_RE_EMPTY_SET] = alloc(psig, m, "re.empty", 1, 0, nullptr, reA);
|
|
m_sigs[OP_RE_FULL_SEQ_SET] = alloc(psig, m, "re.all", 1, 0, nullptr, reA);
|
|
m_sigs[OP_RE_FULL_CHAR_SET] = alloc(psig, m, "re.allchar", 1, 0, nullptr, reA);
|
|
m_sigs[OP_RE_OF_PRED] = alloc(psig, m, "re.of.pred", 1, 1, &predA, reA);
|
|
m_sigs[OP_SEQ_TO_RE] = alloc(psig, m, "seq.to.re", 1, 1, &seqA, reA);
|
|
m_sigs[OP_SEQ_IN_RE] = alloc(psig, m, "seq.in.re", 1, 2, seqAreA, boolT);
|
|
m_sigs[OP_STRING_CONST] = 0;
|
|
m_sigs[_OP_STRING_STRIDOF] = alloc(psig, m, "str.indexof", 0, 3, str2TintT, intT);
|
|
m_sigs[_OP_STRING_STRREPL] = alloc(psig, m, "str.replace", 0, 3, str3T, strT);
|
|
m_sigs[OP_STRING_ITOS] = alloc(psig, m, "int.to.str", 0, 1, &intT, strT);
|
|
m_sigs[OP_STRING_STOI] = alloc(psig, m, "str.to.int", 0, 1, &strT, intT);
|
|
m_sigs[_OP_STRING_CONCAT] = alloc(psig, m, "str.++", 1, 2, str2T, strT);
|
|
m_sigs[_OP_STRING_LENGTH] = alloc(psig, m, "str.len", 0, 1, &strT, intT);
|
|
m_sigs[_OP_STRING_STRCTN] = alloc(psig, m, "str.contains", 0, 2, str2T, boolT);
|
|
m_sigs[_OP_STRING_CHARAT] = alloc(psig, m, "str.at", 0, 2, strTint2T, strT);
|
|
m_sigs[_OP_STRING_PREFIX] = alloc(psig, m, "str.prefixof", 0, 2, str2T, boolT);
|
|
m_sigs[_OP_STRING_SUFFIX] = alloc(psig, m, "str.suffixof", 0, 2, str2T, boolT);
|
|
m_sigs[_OP_STRING_IN_REGEXP] = alloc(psig, m, "str.in.re", 0, 2, strTreT, boolT);
|
|
m_sigs[_OP_STRING_TO_REGEXP] = alloc(psig, m, "str.to.re", 0, 1, &strT, reT);
|
|
m_sigs[_OP_REGEXP_EMPTY] = alloc(psig, m, "re.nostr", 0, 0, nullptr, reT);
|
|
m_sigs[_OP_REGEXP_FULL_CHAR] = alloc(psig, m, "re.allchar", 0, 0, nullptr, reT);
|
|
m_sigs[_OP_STRING_SUBSTR] = alloc(psig, m, "str.substr", 0, 3, strTint2T, strT);
|
|
m_sigs[_OP_RE_UNROLL] = alloc(psig, m, "_re.unroll", 0, 2, reTintT, strT);
|
|
}
|
|
|
|
void seq_decl_plugin::set_manager(ast_manager* m, family_id id) {
|
|
decl_plugin::set_manager(m, id);
|
|
bv_util bv(*m);
|
|
m_char = bv.mk_sort(8);
|
|
m->inc_ref(m_char);
|
|
parameter param(m_char);
|
|
m_string = m->mk_sort(symbol("String"), sort_info(m_family_id, SEQ_SORT, 1, ¶m));
|
|
m->inc_ref(m_string);
|
|
parameter paramS(m_string);
|
|
m_re = m->mk_sort(m_family_id, RE_SORT, 1, ¶mS);
|
|
m->inc_ref(m_re);
|
|
}
|
|
|
|
sort * seq_decl_plugin::mk_sort(decl_kind k, unsigned num_parameters, parameter const * parameters) {
|
|
init();
|
|
ast_manager& m = *m_manager;
|
|
switch (k) {
|
|
case SEQ_SORT:
|
|
if (num_parameters != 1) {
|
|
m.raise_exception("Invalid sequence sort, expecting one parameter");
|
|
}
|
|
if (!parameters[0].is_ast() || !is_sort(parameters[0].get_ast())) {
|
|
m.raise_exception("invalid sequence sort, parameter is not a sort");
|
|
}
|
|
if (parameters[0].get_ast() == m_char) {
|
|
return m_string;
|
|
}
|
|
return m.mk_sort(symbol("Seq"), sort_info(m_family_id, SEQ_SORT, num_parameters, parameters));
|
|
case RE_SORT: {
|
|
if (num_parameters != 1) {
|
|
m.raise_exception("Invalid regex sort, expecting one parameter");
|
|
}
|
|
if (!parameters[0].is_ast() || !is_sort(parameters[0].get_ast())) {
|
|
m.raise_exception("invalid regex sort, parameter is not a sort");
|
|
}
|
|
return m.mk_sort(symbol("RegEx"), sort_info(m_family_id, RE_SORT, num_parameters, parameters));
|
|
}
|
|
case _STRING_SORT:
|
|
return m_string;
|
|
default:
|
|
UNREACHABLE();
|
|
return nullptr;
|
|
}
|
|
}
|
|
|
|
func_decl* seq_decl_plugin::mk_seq_fun(decl_kind k, unsigned arity, sort* const* domain, sort* range, decl_kind k_string) {
|
|
ast_manager& m = *m_manager;
|
|
sort_ref rng(m);
|
|
match(*m_sigs[k], arity, domain, range, rng);
|
|
return m.mk_func_decl(m_sigs[(domain[0] == m_string)?k_string:k]->m_name, arity, domain, rng, func_decl_info(m_family_id, k));
|
|
}
|
|
|
|
|
|
func_decl* seq_decl_plugin::mk_str_fun(decl_kind k, unsigned arity, sort* const* domain, sort* range, decl_kind k_seq) {
|
|
ast_manager& m = *m_manager;
|
|
sort_ref rng(m);
|
|
match(*m_sigs[k], arity, domain, range, rng);
|
|
return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, rng, func_decl_info(m_family_id, k_seq));
|
|
}
|
|
|
|
func_decl* seq_decl_plugin::mk_assoc_fun(decl_kind k, unsigned arity, sort* const* domain, sort* range, decl_kind k_seq, decl_kind k_string) {
|
|
ast_manager& m = *m_manager;
|
|
sort_ref rng(m);
|
|
if (arity == 0) {
|
|
m.raise_exception("Invalid function application. At least one argument expected");
|
|
}
|
|
match_right_assoc(*m_sigs[k], arity, domain, range, rng);
|
|
func_decl_info info(m_family_id, k_seq);
|
|
info.set_right_associative(true);
|
|
return m.mk_func_decl(m_sigs[(rng == m_string)?k_string:k_seq]->m_name, rng, rng, rng, info);
|
|
}
|
|
|
|
func_decl * seq_decl_plugin::mk_func_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
|
|
unsigned arity, sort * const * domain, sort * range) {
|
|
init();
|
|
ast_manager& m = *m_manager;
|
|
sort_ref rng(m);
|
|
switch(k) {
|
|
case OP_SEQ_EMPTY:
|
|
match(*m_sigs[k], arity, domain, range, rng);
|
|
if (rng == m_string) {
|
|
parameter param(symbol(""));
|
|
return mk_func_decl(OP_STRING_CONST, 1, ¶m, 0, nullptr, m_string);
|
|
}
|
|
else {
|
|
parameter param(rng.get());
|
|
func_decl_info info(m_family_id, k, 1, ¶m);
|
|
return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, rng, info);
|
|
}
|
|
|
|
case OP_SEQ_UNIT:
|
|
case OP_RE_PLUS:
|
|
case OP_RE_STAR:
|
|
case OP_RE_OPTION:
|
|
case OP_RE_RANGE:
|
|
case OP_RE_OF_PRED:
|
|
case OP_STRING_ITOS:
|
|
case OP_STRING_STOI:
|
|
case OP_RE_COMPLEMENT:
|
|
match(*m_sigs[k], arity, domain, range, rng);
|
|
return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, rng, func_decl_info(m_family_id, k));
|
|
|
|
case _OP_REGEXP_FULL_CHAR:
|
|
if (!range) range = m_re;
|
|
match(*m_sigs[k], arity, domain, range, rng);
|
|
return m.mk_func_decl(symbol("re.allchar"), arity, domain, rng, func_decl_info(m_family_id, OP_RE_FULL_CHAR_SET));
|
|
|
|
case OP_RE_FULL_CHAR_SET:
|
|
if (!range) range = m_re;
|
|
if (range == m_re) {
|
|
match(*m_sigs[k], arity, domain, range, rng);
|
|
return m.mk_func_decl(symbol("re.allchar"), arity, domain, rng, func_decl_info(m_family_id, k));
|
|
}
|
|
return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, range, func_decl_info(m_family_id, k));
|
|
|
|
case OP_RE_FULL_SEQ_SET:
|
|
if (!range) range = m_re;
|
|
return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, range, func_decl_info(m_family_id, k));
|
|
|
|
case _OP_REGEXP_EMPTY:
|
|
if (!range) range = m_re;
|
|
match(*m_sigs[k], arity, domain, range, rng);
|
|
return m.mk_func_decl(symbol("re.nostr"), arity, domain, rng, func_decl_info(m_family_id, OP_RE_EMPTY_SET));
|
|
|
|
case OP_RE_EMPTY_SET:
|
|
if (!range) range = m_re;
|
|
if (range == m_re) {
|
|
match(*m_sigs[k], arity, domain, range, rng);
|
|
return m.mk_func_decl(symbol("re.nostr"), arity, domain, rng, func_decl_info(m_family_id, k));
|
|
}
|
|
return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, range, func_decl_info(m_family_id, k));
|
|
|
|
case OP_RE_LOOP:
|
|
switch (arity) {
|
|
case 1:
|
|
match(*m_sigs[k], arity, domain, range, rng);
|
|
if (num_parameters == 0 || num_parameters > 2 || !parameters[0].is_int() || (num_parameters == 2 && !parameters[1].is_int())) {
|
|
m.raise_exception("Expecting two numeral parameters to function re-loop");
|
|
}
|
|
return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, rng, func_decl_info(m_family_id, k, num_parameters, parameters));
|
|
case 2:
|
|
if (m_re != domain[0] || !arith_util(m).is_int(domain[1])) {
|
|
m.raise_exception("Incorrect type of arguments passed to re.loop. Expecting regular expression and two integer parameters");
|
|
}
|
|
return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, domain[0], func_decl_info(m_family_id, k, num_parameters, parameters));
|
|
case 3:
|
|
if (m_re != domain[0] || !arith_util(m).is_int(domain[1]) || !arith_util(m).is_int(domain[2])) {
|
|
m.raise_exception("Incorrect type of arguments passed to re.loop. Expecting regular expression and two integer parameters");
|
|
}
|
|
return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, domain[0], func_decl_info(m_family_id, k, num_parameters, parameters));
|
|
default:
|
|
m.raise_exception("Incorrect number of arguments passed to loop. Expected 1 regular expression and two integer parameters");
|
|
}
|
|
|
|
case _OP_RE_UNROLL:
|
|
match(*m_sigs[k], arity, domain, range, rng);
|
|
return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, rng, func_decl_info(m_family_id, k));
|
|
|
|
case OP_STRING_CONST:
|
|
if (!(num_parameters == 1 && arity == 0 && parameters[0].is_symbol())) {
|
|
m.raise_exception("invalid string declaration");
|
|
}
|
|
return m.mk_const_decl(m_stringc_sym, m_string,
|
|
func_decl_info(m_family_id, OP_STRING_CONST, num_parameters, parameters));
|
|
|
|
case OP_RE_UNION:
|
|
case OP_RE_CONCAT:
|
|
case OP_RE_INTERSECT:
|
|
return mk_assoc_fun(k, arity, domain, range, k, k);
|
|
|
|
case OP_SEQ_CONCAT:
|
|
return mk_assoc_fun(k, arity, domain, range, k, _OP_STRING_CONCAT);
|
|
|
|
case _OP_STRING_CONCAT:
|
|
return mk_assoc_fun(k, arity, domain, range, OP_SEQ_CONCAT, k);
|
|
|
|
case OP_SEQ_REPLACE:
|
|
return mk_seq_fun(k, arity, domain, range, _OP_STRING_STRREPL);
|
|
case _OP_STRING_STRREPL:
|
|
return mk_str_fun(k, arity, domain, range, OP_SEQ_REPLACE);
|
|
|
|
case OP_SEQ_INDEX:
|
|
if (arity == 2) {
|
|
sort* dom[3] = { domain[0], domain[1], arith_util(m).mk_int() };
|
|
sort_ref rng(m);
|
|
match(*m_sigs[k], 3, dom, range, rng);
|
|
return m.mk_func_decl(m_sigs[(dom[0] == m_string)?_OP_STRING_STRIDOF:k]->m_name, arity, domain, rng, func_decl_info(m_family_id, k));
|
|
}
|
|
return mk_seq_fun(k, arity, domain, range, _OP_STRING_STRIDOF);
|
|
case _OP_STRING_STRIDOF:
|
|
if (arity == 2) {
|
|
sort* dom[3] = { domain[0], domain[1], arith_util(m).mk_int() };
|
|
sort_ref rng(m);
|
|
match(*m_sigs[k], 3, dom, range, rng);
|
|
return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, rng, func_decl_info(m_family_id, OP_SEQ_INDEX));
|
|
}
|
|
return mk_str_fun(k, arity, domain, range, OP_SEQ_INDEX);
|
|
|
|
case OP_SEQ_PREFIX:
|
|
return mk_seq_fun(k, arity, domain, range, _OP_STRING_PREFIX);
|
|
case _OP_STRING_PREFIX:
|
|
return mk_str_fun(k, arity, domain, range, OP_SEQ_PREFIX);
|
|
|
|
case OP_SEQ_SUFFIX:
|
|
return mk_seq_fun(k, arity, domain, range, _OP_STRING_SUFFIX);
|
|
case _OP_STRING_SUFFIX:
|
|
return mk_str_fun(k, arity, domain, range, OP_SEQ_SUFFIX);
|
|
|
|
case OP_SEQ_LENGTH:
|
|
return mk_seq_fun(k, arity, domain, range, _OP_STRING_LENGTH);
|
|
case _OP_STRING_LENGTH:
|
|
return mk_str_fun(k, arity, domain, range, OP_SEQ_LENGTH);
|
|
|
|
case OP_SEQ_CONTAINS:
|
|
return mk_seq_fun(k, arity, domain, range, _OP_STRING_STRCTN);
|
|
case _OP_STRING_STRCTN:
|
|
return mk_str_fun(k, arity, domain, range, OP_SEQ_CONTAINS);
|
|
|
|
case OP_SEQ_TO_RE:
|
|
return mk_seq_fun(k, arity, domain, range, _OP_STRING_TO_REGEXP);
|
|
case _OP_STRING_TO_REGEXP:
|
|
return mk_str_fun(k, arity, domain, range, OP_SEQ_TO_RE);
|
|
|
|
case OP_SEQ_IN_RE:
|
|
return mk_seq_fun(k, arity, domain, range, _OP_STRING_IN_REGEXP);
|
|
case _OP_STRING_IN_REGEXP:
|
|
return mk_str_fun(k, arity, domain, range, OP_SEQ_IN_RE);
|
|
|
|
case OP_SEQ_AT:
|
|
return mk_seq_fun(k, arity, domain, range, _OP_STRING_CHARAT);
|
|
case _OP_STRING_CHARAT:
|
|
return mk_str_fun(k, arity, domain, range, OP_SEQ_AT);
|
|
|
|
case OP_SEQ_EXTRACT:
|
|
return mk_seq_fun(k, arity, domain, range, _OP_STRING_SUBSTR);
|
|
case _OP_STRING_SUBSTR:
|
|
return mk_str_fun(k, arity, domain, range, OP_SEQ_EXTRACT);
|
|
|
|
case _OP_SEQ_SKOLEM: {
|
|
if (num_parameters != 1 || !parameters[0].is_symbol()) {
|
|
m.raise_exception("one symbol parameter expected to skolem symbol");
|
|
}
|
|
symbol s = parameters[0].get_symbol();
|
|
return m.mk_func_decl(s, arity, domain, range, func_decl_info(m_family_id, k, num_parameters, parameters));
|
|
}
|
|
default:
|
|
UNREACHABLE();
|
|
return nullptr;
|
|
}
|
|
}
|
|
|
|
void seq_decl_plugin::get_op_names(svector<builtin_name> & op_names, symbol const & logic) {
|
|
init();
|
|
for (unsigned i = 0; i < m_sigs.size(); ++i) {
|
|
if (m_sigs[i]) {
|
|
op_names.push_back(builtin_name(m_sigs[i]->m_name.str().c_str(), i));
|
|
}
|
|
}
|
|
}
|
|
|
|
void seq_decl_plugin::get_sort_names(svector<builtin_name> & sort_names, symbol const & logic) {
|
|
init();
|
|
sort_names.push_back(builtin_name("Seq", SEQ_SORT));
|
|
sort_names.push_back(builtin_name("RegEx", RE_SORT));
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|
// SMT-LIB 2.5 compatibility
|
|
sort_names.push_back(builtin_name("String", _STRING_SORT));
|
|
sort_names.push_back(builtin_name("StringSequence", _STRING_SORT));
|
|
}
|
|
|
|
app* seq_decl_plugin::mk_string(symbol const& s) {
|
|
zstring canonStr(s.bare_str());
|
|
symbol canonSym(canonStr.encode().c_str());
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|
parameter param(canonSym);
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|
func_decl* f = m_manager->mk_const_decl(m_stringc_sym, m_string,
|
|
func_decl_info(m_family_id, OP_STRING_CONST, 1, ¶m));
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|
return m_manager->mk_const(f);
|
|
}
|
|
|
|
app* seq_decl_plugin::mk_string(zstring const& s) {
|
|
symbol sym(s.encode().c_str());
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|
parameter param(sym);
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|
func_decl* f = m_manager->mk_const_decl(m_stringc_sym, m_string,
|
|
func_decl_info(m_family_id, OP_STRING_CONST, 1, ¶m));
|
|
return m_manager->mk_const(f);
|
|
}
|
|
|
|
|
|
bool seq_decl_plugin::is_value(app* e) const {
|
|
while (true) {
|
|
if (is_app_of(e, m_family_id, OP_SEQ_EMPTY)) {
|
|
return true;
|
|
}
|
|
if (is_app_of(e, m_family_id, OP_STRING_CONST)) {
|
|
return true;
|
|
}
|
|
if (is_app_of(e, m_family_id, OP_SEQ_UNIT) &&
|
|
m_manager->is_value(e->get_arg(0))) {
|
|
return true;
|
|
}
|
|
if (is_app_of(e, m_family_id, OP_SEQ_CONCAT) &&
|
|
e->get_num_args() == 2 &&
|
|
is_app(e->get_arg(0)) &&
|
|
is_app(e->get_arg(1)) &&
|
|
is_value(to_app(e->get_arg(0)))) {
|
|
e = to_app(e->get_arg(1));
|
|
continue;
|
|
}
|
|
return false;
|
|
}
|
|
}
|
|
|
|
bool seq_decl_plugin::are_equal(app* a, app* b) const {
|
|
if (a == b) return true;
|
|
// handle concatenations
|
|
return false;
|
|
}
|
|
|
|
bool seq_decl_plugin::are_distinct(app* a, app* b) const {
|
|
if (a == b) {
|
|
return false;
|
|
}
|
|
if (is_app_of(a, m_family_id, OP_STRING_CONST) &&
|
|
is_app_of(b, m_family_id, OP_STRING_CONST)) {
|
|
return true;
|
|
}
|
|
if (is_app_of(a, m_family_id, OP_SEQ_UNIT) &&
|
|
is_app_of(b, m_family_id, OP_SEQ_UNIT)) {
|
|
return true;
|
|
}
|
|
if (is_app_of(a, m_family_id, OP_SEQ_EMPTY) &&
|
|
is_app_of(b, m_family_id, OP_SEQ_UNIT)) {
|
|
return true;
|
|
}
|
|
if (is_app_of(b, m_family_id, OP_SEQ_EMPTY) &&
|
|
is_app_of(a, m_family_id, OP_SEQ_UNIT)) {
|
|
return true;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
|
|
expr* seq_decl_plugin::get_some_value(sort* s) {
|
|
seq_util util(*m_manager);
|
|
if (util.is_seq(s)) {
|
|
return util.str.mk_empty(s);
|
|
}
|
|
sort* seq;
|
|
if (util.is_re(s, seq)) {
|
|
return util.re.mk_to_re(util.str.mk_empty(seq));
|
|
}
|
|
UNREACHABLE();
|
|
return nullptr;
|
|
}
|
|
|
|
app* seq_util::mk_skolem(symbol const& name, unsigned n, expr* const* args, sort* range) {
|
|
SASSERT(range);
|
|
parameter param(name);
|
|
func_decl* f = m.mk_func_decl(get_family_id(), _OP_SEQ_SKOLEM, 1, ¶m, n, args, range);
|
|
return m.mk_app(f, n, args);
|
|
}
|
|
|
|
app* seq_util::str::mk_string(zstring const& s) { return u.seq.mk_string(s); }
|
|
|
|
|
|
|
|
app* seq_util::str::mk_char(zstring const& s, unsigned idx) {
|
|
bv_util bvu(m);
|
|
return bvu.mk_numeral(s[idx], s.num_bits());
|
|
}
|
|
|
|
app* seq_util::str::mk_char(char ch) {
|
|
zstring s(ch, zstring::ascii);
|
|
return mk_char(s, 0);
|
|
}
|
|
|
|
bool seq_util::str::is_string(expr const* n, zstring& s) const {
|
|
if (is_string(n)) {
|
|
s = zstring(to_app(n)->get_decl()->get_parameter(0).get_symbol().bare_str());
|
|
return true;
|
|
}
|
|
else {
|
|
return false;
|
|
}
|
|
}
|
|
|
|
|
|
void seq_util::str::get_concat(expr* e, expr_ref_vector& es) const {
|
|
expr* e1, *e2;
|
|
while (is_concat(e, e1, e2)) {
|
|
get_concat(e1, es);
|
|
e = e2;
|
|
}
|
|
if (!is_empty(e)) {
|
|
es.push_back(e);
|
|
}
|
|
}
|
|
|
|
app* seq_util::re::mk_loop(expr* r, unsigned lo) {
|
|
parameter param(lo);
|
|
return m.mk_app(m_fid, OP_RE_LOOP, 1, ¶m, 1, &r);
|
|
}
|
|
|
|
app* seq_util::re::mk_loop(expr* r, unsigned lo, unsigned hi) {
|
|
parameter params[2] = { parameter(lo), parameter(hi) };
|
|
return m.mk_app(m_fid, OP_RE_LOOP, 2, params, 1, &r);
|
|
}
|
|
|
|
app* seq_util::re::mk_full_char(sort* s) {
|
|
return m.mk_app(m_fid, OP_RE_FULL_CHAR_SET, 0, nullptr, 0, nullptr, s);
|
|
}
|
|
|
|
app* seq_util::re::mk_full_seq(sort* s) {
|
|
return m.mk_app(m_fid, OP_RE_FULL_SEQ_SET, 0, nullptr, 0, nullptr, s);
|
|
}
|
|
|
|
app* seq_util::re::mk_empty(sort* s) {
|
|
return m.mk_app(m_fid, OP_RE_EMPTY_SET, 0, nullptr, 0, nullptr, s);
|
|
}
|
|
|
|
|
|
bool seq_util::re::is_loop(expr const* n, expr*& body, unsigned& lo, unsigned& hi) {
|
|
if (is_loop(n)) {
|
|
app const* a = to_app(n);
|
|
if (a->get_num_args() == 1 && a->get_decl()->get_num_parameters() == 2) {
|
|
body = a->get_arg(0);
|
|
lo = a->get_decl()->get_parameter(0).get_int();
|
|
hi = a->get_decl()->get_parameter(1).get_int();
|
|
return true;
|
|
}
|
|
}
|
|
return false;
|
|
}
|
|
|
|
bool seq_util::re::is_loop(expr const* n, expr*& body, unsigned& lo) {
|
|
if (is_loop(n)) {
|
|
app const* a = to_app(n);
|
|
if (a->get_num_args() == 1 && a->get_decl()->get_num_parameters() == 1) {
|
|
body = a->get_arg(0);
|
|
lo = a->get_decl()->get_parameter(0).get_int();
|
|
return true;
|
|
}
|
|
}
|
|
return false;
|
|
}
|