lua-aux

Various auxiliary lua modules for everyday use

Some examples:

Vector math

require "vector"
require "matrix"

x=vector{1,0,0}
Rz=matrix.rotateZ(math.pi/3,3)
print("Rz",Rz)
x1=Rz*x
print("x1",x1)

output:

Rz	matrix{
	{  0.5000, -0.8660,  0.0000},
	{  0.8660,  0.5000,  0.0000},
	{  0.0000,  0.0000,  1.0000},
}
x1	vector{0.5,0.866,0}

Complex numbers

require "complex"
require "matrix"

i=complex{0,1}
print(i,i*i,complex{-1}^0.25)

-- Pauli matrices
s1=matrix{ 
	{0, 1},
	{1, 0}
}
s2=matrix{
	{0,-i},
	{i, 0}
}
s3=matrix{
	{1, 0},
	{0,-1}
}
print("s1*s2=",s1*s2)
print(" i*s3=",i*s3)

output:

complex{0,1}	complex{-1,0}	complex{0.7071,0.7071}
s1*s2=	matrix{
	{complex{  0.0000,  1.0000},complex{  0.0000,  0.0000}},
	{complex{  0.0000,  0.0000},complex{  0.0000, -1.0000}},
}
 i*s3=	matrix{
	{complex{  0.0000,  1.0000},complex{  0.0000,  0.0000}},
	{complex{  0.0000,  0.0000},complex{  0.0000, -1.0000}},
}