Difference between revisions of "Spline Command"

Latest revision as of 08:54, 30 July 2020

Spline( <List of Points> ): Creates a cubic spline through all points.
Spline( <List of Points>, <Order ≥ 3> ): Creates a spline with given order through all points.
Spline( <List of Points>, <Order ≥ 3>, <Weight Function> ): Creates a spline with given order through all points. The weight function says what should be the difference of t values for point P_i and P_i+1 given their difference P_i+1 - P_i = (x, y). To get the spline you expect from "function" algorithm you should use abs(x)+0*y, to get the GeoGebra's default spline you can use sqrt(x^2+y^2).; Note: The choice of default makes the result behave nicely when transformed, making sure that Rotate(Spline(list), a) gives the same as Spline(Rotate(list, a)).

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 :Creates a spline with given order through all points.
 ;Spline( <List of Points>, <Order ≥ 3>, <Weight Function> )
-:Creates a spline with given order through all points. The weight function says what should be the difference of t values for point P<sub>i</sub> and P<sub>i+1</sub> given their difference P<sub>i+1</sub>-P<sub>i</sub>=(x,y). To get the spline you expect from "function" algorithm you should use <code>abs(x)+0*y</code>, to get the GeoGebra's default spline you can use <code>sqrt(x^2+y^2)</code>.
+:Creates a spline with given order through all points. The weight function says what should be the difference of ''t'' values for point ''P''<sub>i</sub> and ''P''<sub>i+1</sub> given their difference ''P''<sub>i+1</sub> - ''P''<sub>i</sub> = (''x'', ''y''). To get the spline you expect from "function" algorithm you should use <code>abs(x)+0*y</code>, to get the GeoGebra's default spline you can use <code>sqrt(x^2+y^2)</code>.
-:{{Note|The choice of default makes the result behave nicely when transformed, making sure that <code>Rotate(Spline(list), a)</code> gives the same as <code>Spline(rotate(list, a))</code>.}}
+:{{Note|The choice of default makes the result behave nicely when transformed, making sure that <code>Rotate(Spline(list), a)</code> gives the same as <code>Spline(Rotate(list, a))</code>.}}