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CST2013: Functions for Curve and Face Creation

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The following mathematical functions are available:

Operators: plus, minus, multiply and divide	+ - * /
Power: Raise the preceding expression to the power of the following one	^
Square root	sqrt(t)
Log base 10, log base a: Where "a" is a numeric value	log(t) log(t, a)
Power e: Raises e to the given power	exp(t)
Natural log	ln(t)
Value Pi: 3.1415926545898	pi
Trigonometric functions: cosine, sine, tangent, secant, cosecant, cotangent	cos(t) sin(t) tan (t) sec(t) csc(t) cot(t)
Hyperbolic functions	cosh(t) sinh(t) tanh(t) sech(t) csch(t) coth(t)
Arc trigonometric functions	arccos(t) arcsin(t) arctan(t) arcsec(t) arccsc(t) arccot(t)
Arc hyperbolic functions	arccosh(t) arcsinh(t) arctanh(t) arcsech(t) arccsch(t) arccoth(t)

These functions can be combined in any way to form more complex mathematical expressions.

When using trigonometric functions, it is better and easier to parameterize the curve between rational values and use pi in the expression than to parameterize say between 0 and 2 pi.

Care should be taken when using functions that are undefined or infinite at certain values, for example, tan (pi/2).

Examples

A parabolic curve:

X: t

Y: t^2 - 4

Z: 0

Range: -3 to 3

A hyperbolic paraboloid (saddle surface):

X: u

Y: v

Z: 0.25 * (u^2 - v^2)

u range: -4 to 4

v range: -4 to 4

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CST2013: Functions for Curve and Face Creation

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