19Mathematic Functions

This section summarizes mathematic functions.

19.1Complex Number

A number literal followed by suffix j becomes an imaginary part of a complex value.

>>> (1 - 2j) * (3 + 1j)
5 - 5j

19.2Rational Number

A number literal followed by suffix r becomes a rational value with which you can do faction calculations.

>>> 2 / 3r + 1 / 2r
7/6r

19.3Big Number

Importing gmp module would add following suffixes:

• Suffix L creates a gmp.mpz or gmp.mpf instances that can calculate numbers with variable-length digits.
• Suffix Lr creates a gmp.mpq instance that can calculate rational value with variable-length digits.

19.4Differentiation Formula

When a function is declared with a body that contains math calculation, you can get a differentiation formula from it using function#mathdiff() method. Assumes that you have the following function:

>>> f(x) = math.sin(x ** 2)

Then, you can call function#mathdiff() method for it like following:

>>> g = f.mathdiff()

The newly created function g(x) is one that does differential calculation of f(x). You can examine what body it has by seeing function#expr property.

>>> g.expr
`(math.cos(x ** 2) * (2 * x))

The table below shows what differentiation formulas are obtained from original math functions: