TheGameCreators - CodeBase - Vector functions

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Category: Math / Physics

Version: 2.0

Information

Uploaded: 19th Feb 2007 15:59

Modified: 19th Feb 2007 19:52

Author: ichaelm

Summary

Some functions that work with vectors (2.0)

Full Description

When programming complicated physics into a game, you may notice that, unlike computers, physics uses vectors (direction and magnitude) instead of normal x and y values. The following functions work with vectors.<br /> Note: Positive y values are down, just like in DB.

DarkBASIC Source Code

` This code was downloaded from The Game Creators

` It is reproduced here with full permission

` http://www.thegamecreators.com

`===============VECTOR FUNCTONS===============

`When programming complicated physics into a game, you may notice that, unlike computers, physics uses vectors (direction and magnitude) instead of cartesian (x and y) values.  The following functions work with vectors.

`Note: Positive y values are down, just like in DB.

`VECTOR MAGNITUDE

`This tells you the magnitude of a vector based on x and y coordinates.

function vector magnitude#(x#,y#)

dist#=abs(((x#^2)+(y#^2))^0.5)

endfunction dist#

`VECTOR DIRECTION

`This tells you the direction of a vector based on x and y coordinates.

function vector direction#(x#,y#)

y#=y#*-1

direction#=atanfull(x#,y#)

endfunction direction#

`X COORDINATE

`This tells you the x coordinate of a vector based on magnitude and direction.

function x coordinate#(magnitude#,direction#)

x#=magnitude#*(sin(direction#))

endfunction x#

`Y COORDINATE

`This tells you the y coordinate of a vector based on magnitude and direction.

function y coordinate#(magnitude#,direction#)

y#=magnitude#*(cos(direction#))

y#=y#*-1

endfunction y#

`ANGLED VECTOR MAGNITUDE

`This one is a little more complicated.  It takes a vector and finds how much force (magnitude) it has in a different direction.  The best way to understand it is to look at the code.

function angled vector magnitude#(magnitude#,direction#,newdirection#)

newmagnitude#=magnitude#*cos(newdirection#-direction#)

endfunction newmagnitude#

`MAGNITUDE OF ADDED VECTORS

`Self-explanatory.

function magnitude of added vectors#(magnitude1#,direction1#,magnitude2#,direction2#)

x1#=x coordinate#(magnitude1#,direction1#)

y1#=y coordinate#(magnitude1#,direction1#)

x2#=x coordinate#(magnitude2#,direction2#)

y2#=y coordinate#(magnitude2#,direction2#)

x#=x1#+x2#

y#=y1#+y2#

magnitude#=vector magnitude#(x#,y#)

endfunction magnitude#

`DIRECTION OF ADDED VECTORS

`Self-explanatory.

function direction of added vectors#(magnitude1#,direction1#,magnitude2#,direction2#)

x1#=x coordinate#(magnitude1#,direction1#)

y1#=y coordinate#(magnitude1#,direction1#)

x2#=x coordinate#(magnitude2#,direction2#)

y2#=y coordinate#(magnitude2#,direction2#)

x#=x1#+x2#

y#=y1#+y2#

direction#=vector direction#(x#,y#)

endfunction direction#

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Author Name:	ichaelm
CodeBase Entries:	2

CodeBase - Vector functions