Gauss-Jordan matrix inversion: Difference between revisions
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m (→{{header|Phix}}: added syntax colouring the hard way) |
m (→version 2: changed whitespace, added a comment.) |
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{{trans|PL/I}} |
{{trans|PL/I}} |
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<lang rexx>/*REXX program performs a (square) matrix inversion using the Gauss─Jordan method. */ |
<lang rexx>/*REXX program performs a (square) matrix inversion using the Gauss─Jordan method. */ |
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data= |
data= 8 3 7 5 9 12 10 11 6 2 4 13 14 15 16 17 /*the matrix element values. */ |
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call build 4 /*assign data elements to the matrix. */ |
call build 4 /*assign data elements to the matrix. */ |
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call show '@', 'The matrix of order ' n " is:" /*display the (square) matrix. */ |
call show '@', 'The matrix of order ' n " is:" /*display the (square) matrix. */ |
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call invert /*invert the matrix, store result in X.*/ |
call invert /*invert the matrix, store result in X.*/ |
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call show 'X', "The inverted matrix is:" /*display (inverted) auxiliary matrix. */ |
call show 'X', "The inverted matrix is:" /*display (inverted) auxiliary matrix. */ |
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exit 0 /*stick a fork in it, we're all done. */ |
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exit 0 |
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/*──────────────────────────────────────────────────────────────────────────────────────*/ |
/*──────────────────────────────────────────────────────────────────────────────────────*/ |
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aux: x.= 0; do i=1 for n; x.i.i= 1; end; return |
aux: x.= 0; do i=1 for n; x.i.i= 1; end; return |
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@.r.c= word(data, #); w= max(w, length(@.r.c) ) |
@.r.c= word(data, #); w= max(w, length(@.r.c) ) |
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end /*c*/ /*W: max width of a number*/ |
end /*c*/ /*W: max width of a number*/ |
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end /*r*/; |
end /*r*/; return |
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/*──────────────────────────────────────────────────────────────────────────────────────*/ |
/*──────────────────────────────────────────────────────────────────────────────────────*/ |
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invert: do k=1 for n; t= @.k.k /*divide each matrix row by T. */ |
invert: do k=1 for n; t= @.k.k /*divide each matrix row by T. */ |
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end /*c*/ |
end /*c*/ |
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end /*r*/ |
end /*r*/ |
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end /*k*/; return |
end /*k*/; return |
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/*──────────────────────────────────────────────────────────────────────────────────────*/ |
/*──────────────────────────────────────────────────────────────────────────────────────*/ |
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show: parse arg ?, title; say; say title; f= 4 /*F: fractional digits precision.*/ |
show: parse arg ?, title; say; say title; f= 4 /*F: fractional digits precision.*/ |
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else _= _ right(format(x.r.c, w, f), w + f + length(.)) |
else _= _ right(format(x.r.c, w, f), w + f + length(.)) |
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end /*c*/; say _ |
end /*c*/; say _ |
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end /*r*/; return</lang> |
end /*r*/; return</lang> |
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{{out|output|text= when using the internal default input:}} |
{{out|output|text= when using the internal default input:}} |
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<pre> |
<pre> |
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-0.1064 -0.0855 0.0883 0.0779 |
-0.1064 -0.0855 0.0883 0.0779 |
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</pre> |
</pre> |
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=={{header|Rust}}== |
=={{header|Rust}}== |
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<lang rust> |
<lang rust> |
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