parcurve(f,x,y)
Func
©ParCurve(f,x,y) parametrizes curve f(x,y)=0 as x(t),y(t)
©Bhuvanesh Bhatt
expr("solve("&string(f=y-t*x)&" and y-t*x=0,{"&string(x)&","&string(y)&"})")
EndFunc
For example, to find a parametric expression for
x
3
+ x
2
− y
2
= 0
use the call
parcurve(x^3+x^2-y^2,x,y)
which returns
x = t
2
− 1 and y = t
2
− 1
$ torx= 0 and y = 0
The first two equations are the useful parameterizations; the second two are extraneous solutions.
(Credit to Bhuvanesh Bhatt)
[6.40] Write functions with multiple input argument types
Many built-in functions operate on numbers, expressions and lists. For example,
sin(a) returns sin(a)
sin(.2)
returns 0.1987
sin({0,.2})
returns {0, 0.1987}
This is very convenient in that you can use a single function to handle various argument types. You
can accomplish this convenience with your own functions, as shown in this demonstration function:
f1demo(xx)
Func
©Demo program to evaluate function of expression, list or matrix.
©29mar01/dburkett@infinet.com
local f1,xxt,j,k,r,xxr,xxc
©Define the function to evaluate
define f1(x)=func
ln(x)
endfunc
©Get the input argument type
gettype(xx)→xxt
©Evaluate the function
if xxt="NUM" or xxt="EXPR" or xxt="VAR" then
return f1(xx)
elseif xxt="LIST" then
return seq(f1(xx[j]),j,1,dim(xx))
elseif xxt="MAT" then
6 - 72
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