Chapter II. Functions

Built-in functions

The following functions are currently (as of 3.3.0) built-in

• Trigonometry
  • sin (vectorised)
  • cos (vectorised)
  • tan (vectorised)
• Hyperbolic trigonometry
  • sinh (vectorised)
  • cosh (vectorised)
  • tanh (vectorised)
• Reverse trigonometry
  • asin (vectorised)
  • acos (vectorised)
  • atan (vectorised)
• Exponentiation
  • exp (vectorised)
  • ln (alias log) (vectorised)
• Vectors
  • norm
• Matrices
  • det
  • invert
• Plot
  • plot
  • termplot
• Other
  • sqrt (vectorised)
  • factorial (alias fact)
  • abs
  • ceil
  • floor
  • round

Trigonometry

For trigonometry, the input is assumed to to in radians, if it is in degrees you need to add a second argument (can be anything, like true) to the function call.

Exp/ln

If you use the exp function you can pass the base you want to work with as a second argument. If nothing is supplied, we assume natural base.

Root

You can add a second argument to sqrt for the nth root instead of the 2nd root.

User defined functions

You can define your own functions with the following syntax (warning: it might change in 4.0.0)

Partial functions

You can use a user-defined function to declare a partial function, to have a cos in degrees for example.