📄 magic.c
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/*
* MATLAB Compiler: 2.2
* Date: Tue Jun 25 15:00:23 2002
* Arguments: "-B" "macro_default" "-O" "all" "-O" "fold_scalar_mxarrays:on"
* "-O" "fold_non_scalar_mxarrays:on" "-O" "optimize_integer_for_loops:on" "-O"
* "array_indexing:on" "-O" "optimize_conditionals:on" "-t" "-W" "lib:Templib"
* "-T" "link:exe" "-h" "fileinc.c" "mrank"
*/
#include "magic.h"
#include "libmatlbm.h"
#include "meshgrid.h"
static mxChar _array1_[128] = { 'R', 'u', 'n', '-', 't', 'i', 'm', 'e', ' ',
'E', 'r', 'r', 'o', 'r', ':', ' ', 'F', 'i',
'l', 'e', ':', ' ', 'm', 'a', 'g', 'i', 'c',
' ', 'L', 'i', 'n', 'e', ':', ' ', '1', ' ',
'C', 'o', 'l', 'u', 'm', 'n', ':', ' ', '1',
' ', 'T', 'h', 'e', ' ', 'f', 'u', 'n', 'c',
't', 'i', 'o', 'n', ' ', '"', 'm', 'a', 'g',
'i', 'c', '"', ' ', 'w', 'a', 's', ' ', 'c',
'a', 'l', 'l', 'e', 'd', ' ', 'w', 'i', 't',
'h', ' ', 'm', 'o', 'r', 'e', ' ', 't', 'h',
'a', 'n', ' ', 't', 'h', 'e', ' ', 'd', 'e',
'c', 'l', 'a', 'r', 'e', 'd', ' ', 'n', 'u',
'm', 'b', 'e', 'r', ' ', 'o', 'f', ' ', 'o',
'u', 't', 'p', 'u', 't', 's', ' ', '(', '1',
')', '.' };
static mxArray * _mxarray0_;
static mxChar _array3_[127] = { 'R', 'u', 'n', '-', 't', 'i', 'm', 'e', ' ',
'E', 'r', 'r', 'o', 'r', ':', ' ', 'F', 'i',
'l', 'e', ':', ' ', 'm', 'a', 'g', 'i', 'c',
' ', 'L', 'i', 'n', 'e', ':', ' ', '1', ' ',
'C', 'o', 'l', 'u', 'm', 'n', ':', ' ', '1',
' ', 'T', 'h', 'e', ' ', 'f', 'u', 'n', 'c',
't', 'i', 'o', 'n', ' ', '"', 'm', 'a', 'g',
'i', 'c', '"', ' ', 'w', 'a', 's', ' ', 'c',
'a', 'l', 'l', 'e', 'd', ' ', 'w', 'i', 't',
'h', ' ', 'm', 'o', 'r', 'e', ' ', 't', 'h',
'a', 'n', ' ', 't', 'h', 'e', ' ', 'd', 'e',
'c', 'l', 'a', 'r', 'e', 'd', ' ', 'n', 'u',
'm', 'b', 'e', 'r', ' ', 'o', 'f', ' ', 'i',
'n', 'p', 'u', 't', 's', ' ', '(', '1', ')',
'.' };
static mxArray * _mxarray2_;
static mxArray * _mxarray4_;
static mxArray * _mxarray5_;
static mxArray * _mxarray6_;
static mxArray * _mxarray7_;
static mxArray * _mxarray8_;
void InitializeModule_magic(void) {
_mxarray0_ = mclInitializeString(128, _array1_);
_mxarray2_ = mclInitializeString(127, _array3_);
_mxarray4_ = mclInitializeDouble(2.0);
_mxarray5_ = mclInitializeDouble(1.0);
_mxarray6_ = mclInitializeDouble(3.0);
_mxarray7_ = mclInitializeDouble(4.0);
_mxarray8_ = mclInitializeDouble(0.0);
}
void TerminateModule_magic(void) {
mxDestroyArray(_mxarray8_);
mxDestroyArray(_mxarray7_);
mxDestroyArray(_mxarray6_);
mxDestroyArray(_mxarray5_);
mxDestroyArray(_mxarray4_);
mxDestroyArray(_mxarray2_);
mxDestroyArray(_mxarray0_);
}
static mxArray * Mmagic(int nargout_, mxArray * n);
_mexLocalFunctionTable _local_function_table_magic
= { 0, (mexFunctionTableEntry *)NULL };
/*
* The function "mlfMagic" contains the normal interface for the "magic"
* M-function from file "d:\MATLAB6p1\toolbox\matlab\elmat\magic.m" (lines
* 1-43). This function processes any input arguments and passes them to the
* implementation version of the function, appearing above.
*/
mxArray * mlfMagic(mxArray * n) {
int nargout = 1;
mxArray * M = mclGetUninitializedArray();
mlfEnterNewContext(0, 1, n);
M = Mmagic(nargout, n);
mlfRestorePreviousContext(0, 1, n);
return mlfReturnValue(M);
}
/*
* The function "mlxMagic" contains the feval interface for the "magic"
* M-function from file "d:\MATLAB6p1\toolbox\matlab\elmat\magic.m" (lines
* 1-43). The feval function calls the implementation version of magic through
* this function. This function processes any input arguments and passes them
* to the implementation version of the function, appearing above.
*/
void mlxMagic(int nlhs, mxArray * plhs[], int nrhs, mxArray * prhs[]) {
mxArray * mprhs[1];
mxArray * mplhs[1];
int i;
if (nlhs > 1) {
mlfError(_mxarray0_);
}
if (nrhs > 1) {
mlfError(_mxarray2_);
}
for (i = 0; i < 1; ++i) {
mplhs[i] = mclGetUninitializedArray();
}
for (i = 0; i < 1 && i < nrhs; ++i) {
mprhs[i] = prhs[i];
}
for (; i < 1; ++i) {
mprhs[i] = NULL;
}
mlfEnterNewContext(0, 1, mprhs[0]);
mplhs[0] = Mmagic(nlhs, mprhs[0]);
mlfRestorePreviousContext(0, 1, mprhs[0]);
plhs[0] = mplhs[0];
}
/*
* The function "Mmagic" is the implementation version of the "magic"
* M-function from file "d:\MATLAB6p1\toolbox\matlab\elmat\magic.m" (lines
* 1-43). It contains the actual compiled code for that M-function. It is a
* static function and must only be called from one of the interface functions,
* appearing below.
*/
/*
* function M = magic(n)
*/
static mxArray * Mmagic(int nargout_, mxArray * n) {
mexLocalFunctionTable save_local_function_table_
= mclSetCurrentLocalFunctionTable(&_local_function_table_magic);
mxArray * M = mclGetUninitializedArray();
mxArray * j = mclGetUninitializedArray();
mxArray * k = mclGetUninitializedArray();
mxArray * i = mclGetUninitializedArray();
mxArray * p = mclGetUninitializedArray();
mxArray * K = mclGetUninitializedArray();
mxArray * B = mclGetUninitializedArray();
mxArray * A = mclGetUninitializedArray();
mxArray * I = mclGetUninitializedArray();
mxArray * J = mclGetUninitializedArray();
mclCopyArray(&n);
/*
* %MAGIC Magic square.
* % MAGIC(N) is an N-by-N matrix constructed from the integers
* % 1 through N^2 with equal row, column, and diagonal sums.
* % Produces valid magic squares for all N > 0 except N = 2.
*
* % Copyright 1984-2001 The MathWorks, Inc.
* % $Revision: 5.13 $ $Date: 2001/04/15 12:02:43 $
*
* % Historically, MATLAB's magic was a built-in function.
* % This M-file uses a new algorithm to generate the same matrices.
*
* n = floor(real(double(n(1))));
*/
mlfAssign(
&n,
mlfFloor(
mclVe(
mlfReal(
mclVe(mlfDouble(mclVe(mclIntArrayRef1(mclVsa(n, "n"), 1))))))));
/*
*
* % Odd order.
* if mod(n,2) == 1
*/
if (mclEqBool(mclVe(mlfMod(mclVa(n, "n"), _mxarray4_)), _mxarray5_)) {
/*
* [J,I] = meshgrid(1:n);
*/
mlfAssign(
&J,
mlfNMeshgrid(
2,
&I,
NULL,
mlfColon(_mxarray5_, mclVa(n, "n"), NULL),
NULL,
NULL));
/*
* A = mod(I+J-(n+3)/2,n);
*/
mlfAssign(
&A,
mlfMod(
mclMinus(
mclPlus(mclVv(I, "I"), mclVv(J, "J")),
mclMrdivide(mclPlus(mclVa(n, "n"), _mxarray6_), _mxarray4_)),
mclVa(n, "n")));
/*
* B = mod(I+2*J-2,n);
*/
mlfAssign(
&B,
mlfMod(
mclMinus(
mclPlus(mclVv(I, "I"), mclMtimes(_mxarray4_, mclVv(J, "J"))),
_mxarray4_),
mclVa(n, "n")));
/*
* M = n*A + B + 1;
*/
mlfAssign(
&M,
mclPlus(
mclPlus(mclMtimes(mclVa(n, "n"), mclVv(A, "A")), mclVv(B, "B")),
_mxarray5_));
/*
*
* % Doubly even order.
* elseif mod(n,4) == 0
*/
} else if (mclEqBool(
mclVe(mlfMod(mclVa(n, "n"), _mxarray7_)), _mxarray8_)) {
/*
* [J,I] = meshgrid(1:n);
*/
mlfAssign(
&J,
mlfNMeshgrid(
2,
&I,
NULL,
mlfColon(_mxarray5_, mclVa(n, "n"), NULL),
NULL,
NULL));
/*
* K = fix(mod(I,4)/2) == fix(mod(J,4)/2);
*/
mlfAssign(
&K,
mclEq(
mclVe(
mlfFix(
mclMrdivide(
mclVe(mlfMod(mclVv(I, "I"), _mxarray7_)), _mxarray4_))),
mclVe(
mlfFix(
mclMrdivide(
mclVe(mlfMod(mclVv(J, "J"), _mxarray7_)), _mxarray4_)))));
/*
* M = reshape(1:n*n,n,n)';
*/
mlfAssign(
&M,
mlfCtranspose(
mclVe(
mlfReshape(
mlfColon(
_mxarray5_, mclMtimes(mclVa(n, "n"), mclVa(n, "n")), NULL),
mclVa(n, "n"), mclVa(n, "n"), NULL))));
/*
* M(K) = n*n+1 - M(K);
*/
mclArrayAssign1(
&M,
mclMinus(
mclPlus(mclMtimes(mclVa(n, "n"), mclVa(n, "n")), _mxarray5_),
mclVe(mclArrayRef1(mclVsv(M, "M"), mclVsv(K, "K")))),
mclVsv(K, "K"));
/*
*
* % Singly even order.
* else
*/
} else {
/*
* p = n/2;
*/
mlfAssign(&p, mclMrdivide(mclVa(n, "n"), _mxarray4_));
/*
* M = magic(p);
*/
mlfAssign(&M, mlfMagic(mclVv(p, "p")));
/*
* M = [M M+2*p^2; M+3*p^2 M+p^2];
*/
mlfAssign(
&M,
mlfVertcat(
mlfHorzcat(
mclVv(M, "M"),
mclPlus(
mclVv(M, "M"),
mclMtimes(_mxarray4_, mclMpower(mclVv(p, "p"), _mxarray4_))),
NULL),
mlfHorzcat(
mclPlus(
mclVv(M, "M"),
mclMtimes(_mxarray6_, mclMpower(mclVv(p, "p"), _mxarray4_))),
mclPlus(mclVv(M, "M"), mclMpower(mclVv(p, "p"), _mxarray4_)),
NULL),
NULL));
/*
* if n == 2, break, end
*/
if (mclEqBool(mclVa(n, "n"), _mxarray4_)) {
goto return_;
}
/*
* i = (1:p)';
*/
mlfAssign(&i, mlfCtranspose(mlfColon(_mxarray5_, mclVv(p, "p"), NULL)));
/*
* k = (n-2)/4;
*/
mlfAssign(
&k, mclMrdivide(mclMinus(mclVa(n, "n"), _mxarray4_), _mxarray7_));
/*
* j = [1:k (n-k+2):n];
*/
mlfAssign(
&j,
mlfHorzcat(
mlfColon(_mxarray5_, mclVv(k, "k"), NULL),
mlfColon(
mclPlus(mclMinus(mclVa(n, "n"), mclVv(k, "k")), _mxarray4_),
mclVa(n, "n"),
NULL),
NULL));
/*
* M([i; i+p],j) = M([i+p; i],j);
*/
mclArrayAssign2(
&M,
mclArrayRef2(
mclVsv(M, "M"),
mlfVertcat(
mclPlus(mclVv(i, "i"), mclVv(p, "p")), mclVv(i, "i"), NULL),
mclVsv(j, "j")),
mlfVertcat(
mclVv(i, "i"), mclPlus(mclVv(i, "i"), mclVv(p, "p")), NULL),
mclVsv(j, "j"));
/*
* i = k+1;
*/
mlfAssign(&i, mclPlus(mclVv(k, "k"), _mxarray5_));
/*
* j = [1 i];
*/
mlfAssign(&j, mlfHorzcat(_mxarray5_, mclVv(i, "i"), NULL));
/*
* M([i; i+p],j) = M([i+p; i],j);
*/
mclArrayAssign2(
&M,
mclArrayRef2(
mclVsv(M, "M"),
mlfVertcat(
mclPlus(mclVv(i, "i"), mclVv(p, "p")), mclVv(i, "i"), NULL),
mclVsv(j, "j")),
mlfVertcat(
mclVv(i, "i"), mclPlus(mclVv(i, "i"), mclVv(p, "p")), NULL),
mclVsv(j, "j"));
/*
* end
*/
}
return_:
mclValidateOutput(M, 1, nargout_, "M", "magic");
mxDestroyArray(J);
mxDestroyArray(I);
mxDestroyArray(A);
mxDestroyArray(B);
mxDestroyArray(K);
mxDestroyArray(p);
mxDestroyArray(i);
mxDestroyArray(k);
mxDestroyArray(j);
mxDestroyArray(n);
mclSetCurrentLocalFunctionTable(save_local_function_table_);
return M;
}
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