ApproxFunction Struct Reference

Static Public Member Functions
static double	fun (double x, double y, double z)
static VectorDouble3	diff_fun (double x, double y, double z)
static double	fun (double x, double y)
static VectorDouble3	diff_fun (double x, double y)

Detailed Description

Examples

prism_polynomial_approximation.cpp, and quad_polynomial_approximation.cpp.

Definition at line 16 of file prism_polynomial_approximation.cpp.

Member Function Documentation

diff_fun() [1/2]

static VectorDouble3 ApproxFunction::diff_fun ( double  x, double  y  )

inlinestatic

Definition at line 33 of file quad_polynomial_approximation.cpp.

                                                           {
    VectorDouble3 r(2);
    r.clear();
    for (int o = 1; o <= approx_order; ++o) {
      for (int i = 0; i <= o; ++i) {
        int j = o - i;
        if (j >= 0) {
          r[0] += i > 0 ? i * pow(x, i - 1) * pow(y, j) : 0;
          r[1] += j > 0 ? j * pow(x, i) * pow(y, j - 1) : 0;
        }
      }
    }
    return r;
  }

diff_fun() [2/2]

static VectorDouble3 ApproxFunction::diff_fun ( double  x, double  y, double  z  )

inlinestatic

Examples

prism_polynomial_approximation.cpp, and quad_polynomial_approximation.cpp.

Definition at line 32 of file prism_polynomial_approximation.cpp.

                                                                     {
    VectorDouble3 r(3);
    r.clear();
    for (int o = 1; o <= approx_order; ++o) {
      for (int i = 0; i <= o; ++i) {
        for (int j = 0; j <= (o - i); ++j) {
          int k = o - i - j;
          if (k >= 0) {
            r[0] += i > 0 ? i * pow(x, i - 1) * pow(y, j) * pow(z, k) : 0;
            r[1] += j > 0 ? j * pow(x, i) * pow(y, j - 1) * pow(z, k) : 0;
            r[2] += k > 0 ? k * pow(x, i) * pow(y, j) * pow(z, k - 1) : 0;
          }
        }
      }
    }
    return r;
  }

fun() [1/2]

static double ApproxFunction::fun ( double  x, double  y  )

inlinestatic

Definition at line 21 of file quad_polynomial_approximation.cpp.

                                               {
    double r = 1;
    for (int o = 1; o <= approx_order; ++o) {
      for (int i = 0; i <= o; ++i) {
        int j = o - i;
        if (j >= 0)
          r += pow(x, i) * pow(y, j);
      }
    }
    return r;
  }

fun() [2/2]

static double ApproxFunction::fun ( double  x, double  y, double  z  )

inlinestatic

Examples

prism_polynomial_approximation.cpp, and quad_polynomial_approximation.cpp.

Definition at line 17 of file prism_polynomial_approximation.cpp.

                                                         {
    double r = 1;
    for (int o = 1; o <= approx_order; ++o) {
      for (int i = 0; i <= o; ++i) {
        for (int j = 0; j <= (o - i); ++j) {
          int k = o - i - j;
          if (k >= 0) {
            r += pow(x, i) * pow(y, j) * pow(z, k);
          }
        }
      }
    }
    return r;
  }

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The documentation for this struct was generated from the following files:

• atom_tests/prism_polynomial_approximation.cpp
• atom_tests/quad_polynomial_approximation.cpp