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dft_tools/doc/reference/clef/introduction_0.cpp
tayral edd1ff4529 Restructuring documentation.
A first general restructuration of the doc according to the pattern [tour|tutorial|reference].
In the reference part, objects are documented per topic.
In each topic, [definition|c++|python|hdf5] (not yet implemented)
2014-10-18 12:21:08 +01:00

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2.4 KiB
C++

#include <triqs/clef.hpp>
#include <triqs/arrays.hpp>
#include <iostream>
#include <algorithm>
int main() {
// Declaring some placeholders (i.e. dummy variables).
triqs::clef::placeholder<0> i_;
triqs::clef::placeholder<1> j_;
// Declaring a 3x3 matrix
triqs::arrays::matrix<double> A(3, 3);
// Automatically filling the matrix
// -> forget about the bounds, it is automatic
// -> forget about the best order to order the for loops for performance, it is also automatic
A(i_, j_) << i_ + 2 * j_;
// Cheking the result
std::cout << A << std::endl;
// It also works for std container: we just have to add a call clef::make_expr function
std::vector<double> V(10);
double pi = std::acos(-1);
// Automatically filling the vector with the evaluation of the expression in i_
triqs::clef::make_expr(V)[i_] << cos(2 * pi / 5.0 * i_);
// -> by the way, the constant calculation is precomputed
// (expressions are partially evaluated as soon as possible)
// illustration :
// the time_consuming_function will be called only once in the loop, while cos is called 10 times
auto time_consuming_function = [](double x) {
std::cout << "call time_consuming_function" << std::endl;
return 2 * x;
};
triqs::clef::make_expr(V)[i_] << cos(time_consuming_function(10) * i_);
// If you insist using on more complex containers...
std::vector<std::vector<double>> W(3, std::vector<double>(5));
triqs::clef::make_expr(W)[i_][j_] << i_ + cos(time_consuming_function(10) * j_ + i_);
// You can also put a CLEF expression in a std::function
// a function i -> 2*i +1
std::function<int(int)> f = i_ >> 2 * i_ + 1;
// a function (i,j) -> 2*i +j
std::function<double(int, int)> g = var(i_, j_) >> 2 * i_ + j_;
// checking ...
std::cout << "f(10) =" << f(10) << " g(1,2) =" << g(1, 2) << std::endl;
// You can also use a Curry form : h is a function i-> j -> 2*i+ j
auto h = i_ >> (j_ >> 2 * i_ + j_);
std::cout << "h(1)(2) = " << h(1)(2) << std::endl;
// You an also use this to quickly write some lambda, as an alternative syntax to the C++ lambda
// with e.g. STL algorithms (with the advantage that the function is polymorphic!).
std::vector<int> v = {0, -1, 2, -3, 4, 5, -6};
// replace all negative elements (i.e. those for which i -> (i<0) return true), by 0
std::replace_if(begin(v), end(v), i_ >> (i_ < 0), 0);
// for non believer, it really worked ...
for (auto const& x : v) std::cout << x << " ";
std::cout << std::endl;
}