Some utilities for vectors

All these functions are inside of package #:vec

Constructing and destructing vectors

Function

vector-of type &rest elemnets

Create a vector of type type containing elements.

Function

slice vector &optional start end

Create a slice of a vector, which is a subvector from start to end of vector and points to the same entries as vector.

Macro

vector-bind list vec &body body

list: A variable list

vec: A vector

Bind elements of vec to variables in list.

Setting and creating vectors

Function

mapvs size function vec &rest vecs

For the first size entries of vec and vecs call function on an element at the same position and write it at the same position of vec.

Function

mapvec function vec &rest vecs

Same as apply #'map 'vector vec vecs.

Function

mapv function vec &rest vecs

Same as apply #'map-into vec vecs.

Function

vec-copy vec

Create a new vector with the same contents as vec.

Function

setv vec vec0

Set all elements of vec to vec0 without creating a new vector.

Math functions

Simple math

In following each pair of functions do the same, but the first version of the function create a new vector, the second write the result to the first vector.

Addition and subtraction only take vectors as arguments, multiplication and division only take a vector for the first argument.

;;Addition
v+
incv
;;Subtraction
v-
decv
;;Multiplication
v*
mulv
;;Division
v/
divv

Vector specific math

Function

absvec vec

The length of the vector vec.

Function

normalize vec

Normalize the vector vec and get it.

Function

unitvec vec

A new unit vector with the direction of vec. Same as (normalize (copy-vec vec)).

Function

distance vec vec0

Distance between the vectors vec and vec0

Function

scalar vec vec0

The scalar product of vec and vec0.

Function

unit-scalar vec vec0

Optimized version of (scalar (unitvec vec) (unitvec vec0)).

Function

angle vec vec0

Angle between vec and vec0.

Function

cross3 vec vec0

Cross product of the 3D-vectors vec and vec0.

Some other functions

orthogonal-factor
orthogonal-vector
line-vector
line-distance