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universe.sno
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universe.sno
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***********************************************************
* Universe
***********************************************************
define('show_points(pts)i,j,str') :(end_show_points)
show_points
* Initialize string
str = ''
* Loop through points
i = 1
a ?lt(i,5) :f(d)
* Append point
j = 1
b ?gt(j,2) :s(c)
str = str pts<i,j> ' '
j = j + 1 :(b)
* Next point
c str = str '| '
i = i + 1 :(a)
* Show points
d output = str :(return)
end_show_points
***********************************************************
define('create_points(pts)') :(end_create_points)
create_points
* Initialize array
pts = array('4,2')
* Set square points
pts[1,1] = 100 ; pts[1,2] = 100
pts[2,1] = 200 ; pts[2,2] = 100
pts[3,1] = 100 ; pts[3,2] = 200
pts[4,1] = 200 ; pts[4,2] = 200
* Return square
create_points = pts :(return)
end_create_points
***********************************************************
define('center_of_mass(pts)cntr,i,j,dv') :(center_of_mass_end)
center_of_mass
* Point with default value of zero
cntr = array('2',0)
* Sum positions
i = 1
e ?lt(i,5) :f(f)
j = 1
g ?gt(j,2) :s(h)
cntr<j> = cntr<j> + pts<i,j>
j = j + 1 :(g)
h i = i + 1 :(e)
* Calculate center of mass
f dv = 4.0
cntr<1> = cntr<1> / dv
cntr<2> = cntr<2> / dv
center_of_mass = cntr :(return)
center_of_mass_end
***********************************************************
define('vectors(pts,cntr)vcs,i,j,mag') :(vectors_end)
vectors
* Initialize result
vcs = array('4,2')
i = 1
k ?gt(i,4) :s(i)
j = 1
m ?lt(j,3) :f(j)
* Subtract vectors
vcs<i,j> = pts<i,j> - cntr<j>
* Unit vector
?eq(j,2) :f(l)
mag = sqrt(vcs<i,1> ^ 2 + vcs<i,2> ^ 2)
vcs<i,1> = vcs<i,1> / mag
vcs<i,2> = vcs<i,2> / mag
l j = j + 1 :(m)
j i = i + 1 :(k)
i vectors = vcs :(return)
vectors_end
***********************************************************
define('line()') :(line_end)
line
output = dupl('-',50) :(return)
line_end
***********************************************************
define('universe()pts,cntr,vcs,i,j,k,str,fctr') :(universe_end)
universe
* Vector magnitude
fctr = 76
* Create square points
pts = create_points()
line()
* Show points
output = 'Points'
show_points(pts)
* Set center of mass
cntr = center_of_mass(pts)
output = 'Center of mass'
output = cntr<1> ' ' cntr<2>
* Calculate unit vectors
vcs = vectors(pts,cntr)
line()
output = 'Expansion of the universe'
line()
* Number of steps
i = 1
r ?lt(i,5) :f(s)
* Points
j = 1
o ?lt(j,5) :f(n)
* Initialize point string
str = j ': '
k = 1
q ?lt(k,3) :f(p)
* Update position
pts<j,k> = pts<j,k> + vcs<j,k> * fctr
* Append to string
str = str pts<j,k> ' '
k = k + 1 :(q)
* Display new position
p output = str
* Next point
j = j + 1 :(o)
* Next step
n line()
i = i + 1 :(r)
s :(return)
universe_end
***********************************************************
universe()
end
***********************************************************