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algebraic_parser.hh
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/**
* @file algebraic_parser.hh
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Wed Nov 13 2013
* @date last modification: Tue Mar 03 2020
*
* @brief algebraic_parser definition of the grammar
*
*
* @section LICENSE
*
* Copyright (©) 2014-2021 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* Akantu is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Akantu is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
/* -------------------------------------------------------------------------- */
// Boost
#include <boost/config/warning_disable.hpp>
#include <boost/spirit/include/phoenix.hpp>
#include <boost/spirit/include/qi.hpp>
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_ALGEBRAIC_PARSER_HH_
#define AKANTU_ALGEBRAIC_PARSER_HH_
namespace spirit = boost::spirit;
namespace qi = boost::spirit::qi;
namespace lbs = boost::spirit::qi::labels;
namespace ascii = boost::spirit::ascii;
namespace phx = boost::phoenix;
namespace akantu {
namespace parser {
struct algebraic_error_handler_ {
template <typename, typename, typename> struct result {
using type = void;
};
template <typename Iterator>
void operator()(qi::info const & what, Iterator err_pos,
Iterator last) const {
AKANTU_EXCEPTION(
"Error! Expecting "
<< what // what failed?
<< " here: \""
<< std::string(err_pos, last) // iterators to error-pos, end
<< "\"");
}
};
static Real my_min(Real a, Real b) { return std::min(a, b); }
static Real my_max(Real a, Real b) { return std::max(a, b); }
static Real my_pow(Real a, Real b) { return std::pow(a, b); }
static Real eval_param(const ID & a, const ParserSection & section) {
return section.getParameter(a, _ppsc_current_and_parent_scope);
}
static Real unary_func(Real (*func)(Real), Real a) { return func(a); }
static Real binary_func(Real (*func)(Real, Real), Real a, Real b) {
return func(a, b);
}
template <class Iterator, typename Skipper = spirit::unused_type>
struct AlgebraicGrammar : qi::grammar<Iterator, Real(), Skipper> {
AlgebraicGrammar(const ParserSection & section)
: AlgebraicGrammar::base_type(start, "algebraic_grammar"),
section(section) {
// phx::function<lazy_pow_> lazy_pow;
// phx::function<lazy_unary_func_> lazy_unary_func;
// phx::function<lazy_binary_func_> lazy_binary_func;
// phx::function<lazy_eval_param_> lazy_eval_param;
/* clang-format off */
start
= expr.alias()
;
expr
= term [ lbs::_val = lbs::_1 ]
>> *( ('+' > term [ lbs::_val += lbs::_1 ])
| ('-' > term [ lbs::_val -= lbs::_1 ])
)
;
term
= factor [ lbs::_val = lbs::_1 ]
>> *( ('*' > factor [ lbs::_val *= lbs::_1 ])
| ('/' > factor [ lbs::_val /= lbs::_1 ])
)
;
factor
= number [ lbs::_val = lbs::_1 ]
>> *("**" > number [ lbs::_val = phx::bind(&my_pow, lbs::_val, lbs::_1) ])
;
number
= real [ lbs::_val = lbs::_1 ]
| ('-' > number [ lbs::_val = -lbs::_1 ])
| ('+' > number [ lbs::_val = lbs::_1 ])
| constant [ lbs::_val = lbs::_1 ]
| function [ lbs::_val = lbs::_1 ]
| ('(' > expr > ')') [ lbs::_val = lbs::_1 ]
| variable [ lbs::_val = lbs::_1 ]
;
function
= (qi::no_case[unary_function]
> '('
> expr
> ')') [ lbs::_val = phx::bind(&unary_func, lbs::_1, lbs::_2) ]
| (qi::no_case[binary_function]
> '(' >> expr
> ',' >> expr
> ')') [ lbs::_val = phx::bind(&binary_func ,lbs::_1, lbs::_2, lbs::_3) ]
;
variable
= key [ lbs::_val = phx::bind(&eval_param, lbs::_1, section) ]
;
key
= qi::no_skip[qi::char_("a-zA-Z_") >> *qi::char_("a-zA-Z_0-9")] // coming from the InputFileGrammar
;
#ifndef M_PI
# define M_PI 3.14159265358979323846
#endif
#ifndef M_E
# define M_E 2.7182818284590452354
#endif
constant.add
("pi", M_PI)
("e", M_E);
unary_function.add
("abs" , &std::abs )
("acos" , &std::acos )
("asin" , &std::asin )
("atan" , &std::atan )
("ceil" , &std::ceil )
("cos" , &std::cos )
("cosh" , &std::cosh )
("exp" , &std::exp )
("floor" , &std::floor )
("log10" , &std::log10 )
("log" , &std::log )
("sin" , &std::sin )
("sinh" , &std::sinh )
("sqrt" , &std::sqrt )
("tan" , &std::tan )
("tanh" , &std::tanh )
("acosh" , &std::acosh )
("asinh" , &std::asinh )
("atanh" , &std::atanh )
("exp2" , &std::exp2 )
("expm1" , &std::expm1 )
("log1p" , &std::log1p )
("log2" , &std::log2 )
("erf" , &std::erf )
("erfc" , &std::erfc )
("lgamma", &std::lgamma)
("tgamma", &std::tgamma)
("trunc" , &std::trunc )
("round" , &std::round )
// ("crbt" , &std::crbt )
;
binary_function.add
("pow" , &std::pow )
("min" , &parser::my_min)
("max" , &parser::my_max)
("atan2", &std::atan2 )
("fmod" , &std::fmod )
("hypot", &std::hypot )
;
#if !defined(AKANTU_NDEBUG)
phx::function<algebraic_error_handler_> const error_handler = algebraic_error_handler_();
qi::on_error<qi::fail>(start, error_handler(lbs::_4, lbs::_3, lbs::_2));
#endif
expr .name("expression");
term .name("term");
factor .name("factor");
number .name("numerical-value");
variable.name("variable");
function.name("function");
constant.name("constants-list");
unary_function.name("unary-functions-list");
binary_function.name("binary-functions-list");
#if !defined AKANTU_NDEBUG
if(AKANTU_DEBUG_TEST(dblDebug)) {
qi::debug(expr);
qi::debug(term);
qi::debug(factor);
qi::debug(number);
qi::debug(variable);
qi::debug(function);
}
#endif
}
/* clang-format on */
private:
qi::rule<Iterator, Real(), Skipper> start;
qi::rule<Iterator, Real(), Skipper> expr;
qi::rule<Iterator, Real(), Skipper> term;
qi::rule<Iterator, Real(), Skipper> factor;
qi::rule<Iterator, Real(), Skipper> number;
qi::rule<Iterator, Real(), Skipper> variable;
qi::rule<Iterator, Real(), Skipper> function;
qi::rule<Iterator, std::string(), Skipper> key;
qi::real_parser<Real, qi::real_policies<Real>> real;
qi::symbols<char, Real> constant;
qi::symbols<char, Real (*)(Real)> unary_function;
qi::symbols<char, Real (*)(Real, Real)> binary_function;
const ParserSection & section;
};
/* ---------------------------------------------------------------------- */
/* Vector Parser */
/* ---------------------------------------------------------------------- */
struct parsable_vector {
operator Vector<Real>() {
Vector<Real> tmp(_cells.size());
auto it = _cells.begin();
for (UInt i = 0; it != _cells.end(); ++it, ++i) {
tmp(i) = *it;
}
return tmp;
}
std::vector<Real> _cells;
};
inline std::ostream & operator<<(std::ostream & stream,
const parsable_vector & pv) {
stream << "pv[";
auto it = pv._cells.begin();
if (it != pv._cells.end()) {
stream << *it;
for (++it; it != pv._cells.end(); ++it) {
stream << ", " << *it;
}
}
stream << "]";
return stream;
}
struct parsable_matrix {
operator Matrix<Real>() {
size_t cols = 0;
auto it_rows = _cells.begin();
for (; it_rows != _cells.end(); ++it_rows) {
cols = std::max(cols, it_rows->_cells.size());
}
Matrix<Real> tmp(_cells.size(), _cells[0]._cells.size(), 0.);
it_rows = _cells.begin();
for (UInt i = 0; it_rows != _cells.end(); ++it_rows, ++i) {
auto it_cols = it_rows->_cells.begin();
for (UInt j = 0; it_cols != it_rows->_cells.end(); ++it_cols, ++j) {
tmp(i, j) = *it_cols;
}
}
return tmp;
}
std::vector<parsable_vector> _cells;
};
inline std::ostream & operator<<(std::ostream & stream,
const parsable_matrix & pm) {
stream << "pm[";
auto it = pm._cells.begin();
if (it != pm._cells.end()) {
stream << *it;
for (++it; it != pm._cells.end(); ++it) {
stream << ", " << *it;
}
}
stream << "]";
return stream;
}
/* ---------------------------------------------------------------------- */
template <typename T1, typename T2>
static void cont_add(T1 & cont, T2 & value) {
cont._cells.push_back(value);
}
/* ---------------------------------------------------------------------- */
template <class Iterator, typename Skipper = spirit::unused_type>
struct VectorGrammar : qi::grammar<Iterator, parsable_vector(), Skipper> {
VectorGrammar(const ParserSection & section)
: VectorGrammar::base_type(start, "vector_algebraic_grammar"),
number(section) {
start = '[' > vector > ']';
vector =
(number[phx::bind(&cont_add<parsable_vector, Real>, lbs::_a,
lbs::_1)] >>
*(',' >> number[phx::bind(&cont_add<parsable_vector, Real>, lbs::_a,
lbs::_1)]))[lbs::_val = lbs::_a];
#if !defined(AKANTU_NDEBUG)
phx::function<algebraic_error_handler_> const error_handler =
algebraic_error_handler_();
qi::on_error<qi::fail>(start, error_handler(lbs::_4, lbs::_3, lbs::_2));
#endif
start.name("start");
vector.name("vector");
number.name("value");
#if !defined AKANTU_NDEBUG
if (AKANTU_DEBUG_TEST(dblDebug)) {
qi::debug(start);
qi::debug(vector);
}
#endif
}
private:
qi::rule<Iterator, parsable_vector(), Skipper> start;
qi::rule<Iterator, parsable_vector(), qi::locals<parsable_vector>, Skipper>
vector;
qi::rule<Iterator, Real(), Skipper> value;
AlgebraicGrammar<Iterator, Skipper> number;
};
/* ---------------------------------------------------------------------- */
static inline bool vector_eval(const ID & a, const ParserSection & section,
parsable_vector & result) {
std::string value = section.getParameter(a, _ppsc_current_and_parent_scope);
std::string::const_iterator b = value.begin();
std::string::const_iterator e = value.end();
parser::VectorGrammar<std::string::const_iterator, qi::space_type> grammar(
section);
return qi::phrase_parse(b, e, grammar, qi::space, result);
}
/* ---------------------------------------------------------------------- */
template <class Iterator, typename Skipper = spirit::unused_type>
struct MatrixGrammar : qi::grammar<Iterator, parsable_matrix(), Skipper> {
MatrixGrammar(const ParserSection & section)
: MatrixGrammar::base_type(start, "matrix_algebraic_grammar"),
vector(section) {
start = '[' >> matrix >> ']';
matrix =
(rows[phx::bind(&cont_add<parsable_matrix, parsable_vector>, lbs::_a,
lbs::_1)] >>
*(',' >> rows[phx::bind(&cont_add<parsable_matrix, parsable_vector>,
lbs::_a, lbs::_1)]))[lbs::_val = lbs::_a];
rows = eval_vector | vector;
eval_vector = (key[lbs::_pass = phx::bind(&vector_eval, lbs::_1, section,
lbs::_a)])[lbs::_val = lbs::_a];
key = qi::char_("a-zA-Z_") >>
*qi::char_("a-zA-Z_0-9") // coming from the InputFileGrammar
;
#if !defined(AKANTU_NDEBUG)
phx::function<algebraic_error_handler_> const error_handler =
algebraic_error_handler_();
qi::on_error<qi::fail>(start, error_handler(lbs::_4, lbs::_3, lbs::_2));
#endif
start.name("matrix");
matrix.name("all_rows");
rows.name("rows");
vector.name("vector");
eval_vector.name("eval_vector");
#ifndef AKANTU_NDEBUG
if (AKANTU_DEBUG_TEST(dblDebug)) {
qi::debug(start);
qi::debug(matrix);
qi::debug(rows);
qi::debug(eval_vector);
qi::debug(key);
}
#endif
}
private:
qi::rule<Iterator, parsable_matrix(), Skipper> start;
qi::rule<Iterator, parsable_matrix(), qi::locals<parsable_matrix>, Skipper>
matrix;
qi::rule<Iterator, parsable_vector(), Skipper> rows;
qi::rule<Iterator, parsable_vector(), qi::locals<parsable_vector>, Skipper>
eval_vector;
qi::rule<Iterator, std::string(), Skipper> key;
VectorGrammar<Iterator, Skipper> vector;
};
/* ---------------------------------------------------------------------- */
/* Randon Generator */
/* ---------------------------------------------------------------------- */
struct ParsableRandomGenerator {
ParsableRandomGenerator(
Real base = Real(),
const RandomDistributionType & type = _rdt_not_defined,
const parsable_vector & parameters = parsable_vector())
: base(base), type(type), parameters(parameters) {}
Real base;
RandomDistributionType type;
parsable_vector parameters;
};
inline std::ostream & operator<<(std::ostream & stream,
const ParsableRandomGenerator & prg) {
stream << "prg[" << prg.base << " " << UInt(prg.type) << " "
<< prg.parameters << "]";
return stream;
}
/* ---------------------------------------------------------------------- */
template <class Iterator, typename Skipper = spirit::unused_type>
struct RandomGeneratorGrammar
: qi::grammar<Iterator, ParsableRandomGenerator(), Skipper> {
RandomGeneratorGrammar(const ParserSection & section)
: RandomGeneratorGrammar::base_type(start, "random_generator_grammar"),
number(section) {
start = generator.alias();
generator =
qi::hold[distribution[lbs::_val = lbs::_1]] |
number[lbs::_val = phx::construct<ParsableRandomGenerator>(lbs::_1)];
distribution = (number >> generator_type >> '[' >> generator_params >>
']')[lbs::_val = phx::construct<ParsableRandomGenerator>(
lbs::_1, lbs::_2, lbs::_3)];
generator_params =
(number[phx::bind(&cont_add<parsable_vector, Real>, lbs::_a,
lbs::_1)] >>
*(',' > number[phx::bind(&cont_add<parsable_vector, Real>, lbs::_a,
lbs::_1)]))[lbs::_val = lbs::_a];
#define AKANTU_RANDOM_DISTRIBUTION_TYPE_ADD(r, data, elem) \
(BOOST_PP_STRINGIZE(BOOST_PP_TUPLE_ELEM(2, 0, elem)), \
AKANTU_RANDOM_DISTRIBUTION_TYPES_PREFIX( \
BOOST_PP_TUPLE_ELEM(2, 0, elem)))
generator_type.add BOOST_PP_SEQ_FOR_EACH(
AKANTU_RANDOM_DISTRIBUTION_TYPE_ADD, _,
AKANTU_RANDOM_DISTRIBUTION_TYPES);
#undef AKANTU_RANDOM_DISTRIBUTION_TYPE_ADD
#if !defined(AKANTU_NDEBUG)
phx::function<algebraic_error_handler_> const error_handler =
algebraic_error_handler_();
qi::on_error<qi::fail>(start, error_handler(lbs::_4, lbs::_3, lbs::_2));
#endif
start.name("random-generator");
generator.name("random-generator");
distribution.name("random-distribution");
generator_type.name("generator-type");
generator_params.name("generator-parameters");
number.name("number");
#ifndef AKANTU_NDEBUG
if (AKANTU_DEBUG_TEST(dblDebug)) {
qi::debug(generator);
qi::debug(distribution);
qi::debug(generator_params);
}
#endif
}
private:
qi::rule<Iterator, ParsableRandomGenerator(), Skipper> start;
qi::rule<Iterator, ParsableRandomGenerator(), Skipper> generator;
qi::rule<Iterator, ParsableRandomGenerator(), Skipper> distribution;
qi::rule<Iterator, parsable_vector(), qi::locals<parsable_vector>, Skipper>
generator_params;
AlgebraicGrammar<Iterator, Skipper> number;
qi::symbols<char, RandomDistributionType> generator_type;
};
} // namespace parser
} // namespace akantu
#endif /* AKANTU_ALGEBRAIC_PARSER_HH_ */
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