Difference between revisions of "Herm spline.m"
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{{DISPLAYTITLE:herm_spline.m}} __NOTOC__ | {{DISPLAYTITLE:herm_spline.m}} __NOTOC__ | ||
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Cubic Hermite spline on [0,1] interval from values and derivatives at the interval edges. | Cubic Hermite spline on [0,1] interval from values and derivatives at the interval edges. | ||
==Syntax== | ==Syntax== | ||
| − | y=herm_spline(f0,df0,f1,df1,x) | + | y=herm_spline(f0,df0,f1,df1,x) |
==Arguments== | ==Arguments== | ||
| − | f0 - function value(s) at the left edge, a real | + | f0 - function value(s) at the left edge, a real |
scalar or array | scalar or array | ||
| − | + | ||
df0 - function derivative(s) at the left edge, | df0 - function derivative(s) at the left edge, | ||
a real scalar or array | a real scalar or array | ||
| − | + | ||
f1 - function value(s) at the right edge, a real | f1 - function value(s) at the right edge, a real | ||
scalar or array | scalar or array | ||
| − | + | ||
df1 - function derivative(s) at the right edge, | df1 - function derivative(s) at the right edge, | ||
a real scalar or array | a real scalar or array | ||
| − | + | ||
x - query point(s) inside [0,1] interval, | x - query point(s) inside [0,1] interval, | ||
a real scalar or array | a real scalar or array | ||
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==Outputs== | ==Outputs== | ||
| − | y - the value of the spline(s) at the query point(s) | + | y - the value of the spline(s) at the query point(s) |
==Notes== | ==Notes== | ||
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Function values and derivatives can be scalars (in which case the same spline is evaluated at all query points) or arrays of the same size as x, in which case multiple splines are evaluated at their corresponding query points. | Function values and derivatives can be scalars (in which case the same spline is evaluated at all query points) or arrays of the same size as x, in which case multiple splines are evaluated at their corresponding query points. | ||
==See also== | ==See also== | ||
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[[Kernel_utilities#Numerical_infrastructure|Numerical infrastructure]] | [[Kernel_utilities#Numerical_infrastructure|Numerical infrastructure]] | ||
''Version 2.6, authors: [[Ilya Kuprov]]'' | ''Version 2.6, authors: [[Ilya Kuprov]]'' | ||
Revision as of 15:48, 5 April 2026
Cubic Hermite spline on [0,1] interval from values and derivatives at the interval edges.
Syntax
y=herm_spline(f0,df0,f1,df1,x)
Arguments
f0 - function value(s) at the left edge, a real
scalar or array
df0 - function derivative(s) at the left edge,
a real scalar or array
f1 - function value(s) at the right edge, a real
scalar or array
df1 - function derivative(s) at the right edge,
a real scalar or array
x - query point(s) inside [0,1] interval,
a real scalar or array
Outputs
y - the value of the spline(s) at the query point(s)
Notes
Function values and derivatives can be scalars (in which case the same spline is evaluated at all query points) or arrays of the same size as x, in which case multiple splines are evaluated at their corresponding query points.
See also
Version 2.6, authors: Ilya Kuprov
