Mathematics in Toit#
Toit numbers support integers and floats.
Integers and floats#
Integers are whole numbers such as -1, 0, 1, 2, 3, .. and they have type
Floats are numbers with a decimal point. Floats are contagious, meaning that any binary operation involving a float forces the other operand to be converted to a float before doing the operation (thus yielding a float as result).
Integers are 64-bit signed integers. Floats are of size 64-bit, following the IEEE 754-1985 double format.
To make large numbers more readable, digits are often grouped using underscores. When storing these values and when displaying them on screen, Toit just ignores the underscores.
Underscores work for both integers and floats.
You can use the mathematics operators such as
/ to form expressions that include numbers.
The int class has additional operations (like bit-shifting) that are not supported by the floating point numbers.
Additional mathematical constants and functions are available in the math module.
import math main: print (math.pow 2 10)
random is a function included in the core library.
random 10 gives you a random number between 0 and 10 (10 exclusive).
random 3 5 gives you a random number between 3 and 5 (5 exclusive).
To create a range similar to the built-in function in Python:
range from/int to/int step=1 [block]: if step > 0: for i := from; i < to; i += step: block.call i else: for i := from; i > to; i += step: block.call i main: range 5 10: print it // Logs 5, 6, 7, 8, 9. range 10 20 2: print it // Logs 10, 12, 14, 16, 18.
sort is a method of the class List.
To sort a list of numbers from biggest to smallest number and extract the smallest number
main: list := [3, 2, 5, 1] sorted := list.sort print sorted
If the list should be sorted in place, avoiding the allocation of a fresh list
main: list := [3, 2, 5, 1] list.sort --in_place print list.first
To get the highest number of the sorted list
It is also possible to sort with a custom comparison by passing a block to the
main: my_list := [1, 2, 5, 9] my_list.sort --in_place: | a b | b - a print my_list
The block takes two arguments, which are here called
b and should return (implicitly) a value that can be negative, zero, or positive.
Note that `| b -a | sorts in descending order.
The Toit language has some features normally used in functional languages. One of those is the reduce function, which combines all the elements using a custom combiner.
To add all the number in a list
sum := my_list.reduce: | a b | a + b
To get the largest
largest := my_list.reduce: | a b | max a b
Note that it is still possible to code in a more traditional way such as
largest2 := my_list for i := 1; i < my_list.size; i++: largest2 = max largest2 my_list[i]