Matrix multiplication: Difference between revisions
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m (→{{header|REXX}}: added/changed comments and whitespace, used a template for the output section.) |
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=={{header|REXX}}== |
=={{header|REXX}}== |
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<lang rexx>/*REXX program multiplies two matrices together, displays the matrices and the results. */ |
<lang rexx>/*REXX program multiplies two matrices together, displays the matrices and the results. */ |
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x.=; x.1=1 2 |
x.=; x.1= 1 2 /*╔═══════════════════════════════════╗*/ |
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x.2=3 4 |
x.2= 3 4 /*║ As none of the matrix values have ║*/ |
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x.3=5 6 |
x.3= 5 6 /*║ a sign, quotes aren't needed. ║*/ |
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x.4=7 8 |
x.4= 7 8 /*╚═══════════════════════════════════╝*/ |
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do r=1 while x.r\=='' /*build the "A" matrix from X. numbers.*/ |
do r=1 while x.r\=='' /*build the "A" matrix from X. numbers.*/ |
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do c=1 while x.r\==''; parse var x.r a.r.c x.r; end /*c*/ |
do c=1 while x.r\==''; parse var x.r a.r.c x.r; end /*c*/ |
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end /*r*/ |
end /*r*/ |
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Arows=r- |
Arows= r - 1 /*adjust the number of rows (DO loop).*/ |
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Acols=c- |
Acols= c - 1 /* " " " " cols " " .*/ |
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y.=; y.1=1 2 3 |
y.=; y.1= 1 2 3 |
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y.2=4 5 6 |
y.2= 4 5 6 |
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do r=1 while y.r\=='' /*build the "B" matrix from Y. numbers.*/ |
do r=1 while y.r\=='' /*build the "B" matrix from Y. numbers.*/ |
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do c=1 while y.r\==''; parse var y.r b.r.c y.r; end /*c*/ |
do c=1 while y.r\==''; parse var y.r b.r.c y.r; end /*c*/ |
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end /*r*/ |
end /*r*/ |
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Brows=r- |
Brows= r - 1 /*adjust the number of rows (DO loop).*/ |
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Bcols=c- |
Bcols= c - 1 /* " " " " cols " " */ |
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w= 0 /*W is max width of an matrix element.*/ |
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c.= 0; do i=1 for Arows /*multiply matrix A and B ───► C */ |
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do j=1 for Bcols |
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do k=1 for Acols; c.i.j= c.i.j + a.i.k*b.k.j; w= max(w, length(c.i.j) ) |
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end /*k*/ /* ↑ */ |
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end /*j*/ /* | */ |
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end /*i*/ /*max width of ┴ the matrix elements.*/ |
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end /*i*/ |
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call showMatrix 'A', Arows, Acols /*display matrix A ───► the terminal.*/ |
call showMatrix 'A', Arows, Acols /*display matrix A ───► the terminal.*/ |
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exit /*stick a fork in it, we're all done. */ |
exit /*stick a fork in it, we're all done. */ |
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/*──────────────────────────────────────────────────────────────────────────────────────*/ |
/*──────────────────────────────────────────────────────────────────────────────────────*/ |
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showMatrix: parse arg mat,rows,cols; say; say center(mat 'matrix', cols*(w+1) + |
showMatrix: parse arg mat,rows,cols; say; say center(mat 'matrix', cols*(w+1) +9, "─") |
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do r=1 for rows; _= |
do r=1 for rows; _= ' ' |
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do c=1 for cols; _=_ right(value(mat'.'r"."c), w); end; say _ |
do c=1 for cols; _=_ right(value(mat'.'r"."c), w); end; say _ |
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end /*r*/ |
end /*r*/ |
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return</lang> |
return</lang> |
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{{out|output|text= when using the internal default input:}} |
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'''output''' |
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<pre> |
<pre> |
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───A matrix──── |
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─A matrix─ |
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1 2 |
1 2 |
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3 4 |
3 4 |
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5 6 |
5 6 |
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7 8 |
7 8 |
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─────B matrix───── |
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──B matrix─── |
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1 2 3 |
1 2 3 |
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4 5 6 |
4 5 6 |
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─────C matrix───── |
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──C matrix─── |
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9 12 15 |
9 12 15 |
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19 26 33 |
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29 40 51 |
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39 54 69 |
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</pre> |
</pre> |
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