Built In Functions

In the following we list all built-in functions that are supported in Hydra, in alphabetical order. A Funktion is described as function(parameter1:(Type1), parameter2:(Type2), ...).

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circle

circle(center:(Pol), radius:(Number))

Draws a hyperbolic circle with the passed radius, centered at the specified polar coordinate.

var r = 10
var point = Pol(r: 7.0, phi: M_PI / 8)
circle(center: point, radius: r)

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clear

clear()

Removes all objects from the canvas.

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cos

cos(x:(Number))

Evaluates the cosine function at the passed value.

var a = cos(x: M_PI) // a = -1

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cosh

cosh(x:(Number))

Evaluates the hyperbolic cosine function at the passed value.

var a = cosh(x: 0) // a = 1

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curve_angle

curve_angle(from:(Pol), to:(Pol), angle:(Number)) {_p:(Pol)}

Draws a curve containing the points that have an angular distance of angle to the line between the points from and to.

The parameters from and to are polar coordinates that are required to have the same angular coordinate and the radius of from must be smaller than the radius of to.

The angle parameter needs to evaluate to a number. It is the only parameter that may contain the hidden variable _p. Basically curve_angle draws the curve by walking from point from to point to, and evaluating angle at each point _p.

var R = 10.0
var start = Pol(r: R / 2.0, phi: 0.0)
var end = Pol(r: R, phi: 0.0)
curve_angle(from: start, to: end, angle: theta(r1: _p.r, r2: _p.r, R))

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exp

exp(x:(Number))

Evaluates the exponential function at the passed value.

var a = exp(x: 1) // a = 2.71828...

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line

line(from:(Pol), to:(Pol))

Draws a hyperbolic line between the polar coordinates from and to.

var start = Pol(r: 7.0, phi: 0.0)
var end = Pol(r: 3.0, phi: M_PI / 4.0)
line(from: start, to: end)

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log

log(x:(Number))

Evaluates the natural logarithm at the passed value.

var a = log(x: exp(x: 1)) // a = 1

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print

print(message:(String))

Prints the passed message to the console. The message may contain new lines "\n" and is allowed to have escape sequences indicated by \( ).

var a = log(x: exp(x: 1)) // a = 1
print(message: "The natural logarithm of e is: \(a)!\n") // The natural logarithm of e is: 1!

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