deint.deint

This module provides numerical integration by double-exponential (DE) formula.

Members

makeDEInt NumInt!(F, F) makeDEInt(F xa, F xb, Flag!"isExpDecay" isExpDecay, size_t trapN, F ta, F tb): This function create a instance of NumInt!(F, F) for the DE formula. * It is also known as "Tanh-sinh quadrature". * In the DE formula, the integration (1) is converted to (2). * (1) int_{xa}^{xb} f(x) dx * (2) int_{ta}^{tb} f(g(t)) g'(t) dt * * The type of DE formula is automatically decided from the given interval of the integration. * * Params: * xa = starting value of original integration. * xb = end value of original integration. * isExpDecay = if the integration is formed as int_a^b f(x) exp(-x) dx, this value is Yes. otherwise No. * trapN = division points of trapezoidal quadrature. * ta = starting value of integration transformed by DE-formula. * tb = starting value of integration transformed by DE-formula. * * Reference: *

NumInt struct NumInt(X, W): This structure stores computing points and weights for numerical integration. In this type, a numerical integration is computed as int f(x) dx = sum_i f(xsi) wsi

isNumericalIntegrate enum bool isNumericalIntegrate(T);: This template checks that a type T is a kind of NumInt.