intsplin

Arguments

x

Vector of increasing real abscissae. It must have the length of y. Default values are 1:size(y,'*').

y

vector of real or complex ordinates.

v

value of the integral. If y are complex numbers, the real and imaginary parts are integrated separately.

Description

Let f be a function defined at some given sampled experimental points (xi, yi=f(xi)).

intsplin computes an approximate of integral{f(x).dx} from x0=x(1) to x1=x($).

Between given points, f is approximated using a spline interpolation.

Examples

t = 0:0.1:%pi
intsplin(t,sin(t))

intsplin(1:5)            // 12

x = 0:0.1:0.4;
intsplin(x, 1:5)         // 1.2

intsplin((1:5)*%i)       // 12i
intsplin(x, (1:5)*%i)    // 1.2i
intsplin(x, x+(1:5)*%i)  // 0.08 + 1.2i

See also

• intg — definite integral
• integrate — integration of an expression by quadrature
• inttrap — integration of experimental data by trapezoidal interpolation
• splin — cubic spline interpolation