mirror of
https://github.com/jlengrand/LAFF.git
synced 2026-03-10 08:31:21 +00:00
1615 lines
44 KiB
PostScript
Executable File
1615 lines
44 KiB
PostScript
Executable File
function GenWscript( FnName, FnType, Variant, NumOpers, OperInfo, author, email ){
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var str="", notfirst=0, i;
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str += "<html><pre><code>\n";
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str += LWHeader( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LInvariant( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LGuard( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LPartition( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LRepartition( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LContinue( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LAfterRepartition( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LBeforeContinue( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LUpdate( FnName, FnType, Variant, NumOpers, OperInfo );
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str += "\n\n</code></pre></html>";
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with (parent.frames[1].document){
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open();
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writeln( str );
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close();
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}
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return false;
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}
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function GenAscript( FnName, FnType, Variant, NumOpers, OperInfo, author, email ){
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var str="", notfirst=0, i;
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str += "<html><pre><code>\n";
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str += LAHeader( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LGuard( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LPartition_Alg( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LRepartition_Alg( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LContinue_Alg( FnName, FnType, Variant, NumOpers, OperInfo );
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str += LUpdate( FnName, FnType, Variant, NumOpers, OperInfo );
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str += "\n\n</code></pre></html>";
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with (parent.frames[1].document){
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open();
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writeln( str );
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close();
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}
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return false;
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}
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function LWHeader( FnName, FnType, Variant, NumOpers, OperInfo ){
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var str="", c="";
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var i;
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var firsttime = 1;
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str += "\\resetsteps % Reset all the commands to create a blank worksheet \n"
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str += "\n"
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str += "% Define the operation to be computed\n\n"
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str += "\\renewcommand{\\operation}{ \\left[ ";
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for ( i=0; i<NumOpers; i++ ){
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c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
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// if ( OperInfo[ i ][ 1 ] == '0' ) c = "\\"+c;
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if ( OperInfo[ i ][ 3 ] != '0' ){
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if ( firsttime == 0 )
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str += ", ";
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else
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firsttime = 0;
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str += c;
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if ( OperInfo[ i ][ 1 ] == '1' && ( OperInfo[ i ][ 2 ] == '5' || OperInfo[ i ][ 2 ] == '6' ) )
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str += "^T";
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str += "";
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}
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}
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str += " \\right] := ";
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str += "\\mbox{\\sc "+FnName+"\\_"+BLK[ FnType ]+"}"
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str += "( ";
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firsttime = 1;
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for ( i=0; i<NumOpers; i++ ){
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c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
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// if ( OperInfo[ i ][ 1 ] == '0' ) c = "\\"+c;
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if ( OperInfo[ i ][ 3 ] != '1' ){
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if ( firsttime == 0 )
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str += ", ";
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else
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firsttime = 0;
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str += c;
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if ( OperInfo[ i ][ 1 ] == '1' && ( OperInfo[ i ][ 2 ] == '5' || OperInfo[ i ][ 2 ] == '6' ) )
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str += "^T";
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}
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}
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str += " ) }\n\n";
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str += "% Step 1a: Precondition \n\n"
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str += "\\renewcommand{\\precondition}{\n"
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firsttime = 1;
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for ( i=0; i<NumOpers; i++ ){
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if ( OperInfo[ i ][ 3 ] == '2' ){
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str += indent
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c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
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// if ( OperInfo[ i ][ 1 ] == '0' ) c = "\\"+c;
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if ( firsttime == 0 )
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str += "\\wedge\n"+indent;
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else
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firsttime = 0;
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str += c;
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if ( OperInfo[ i ][ 1 ] == '1' && ( OperInfo[ i ][ 2 ] == '5' || OperInfo[ i ][ 2 ] == '6' ) )
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str += "^T";
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str += " = "
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str += "\\hat{"+c+"}";
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if ( OperInfo[ i ][ 1 ] == '1' && ( OperInfo[ i ][ 2 ] == '5' || OperInfo[ i ][ 2 ] == '6' ) )
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str += "^T";
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str += "\n"
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}
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}
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str +="}\n\n"
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str += "% Step 1b: Postcondition \n\n"
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str += "\\renewcommand{\\postcondition}{ \n \\left[";
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firsttime=1
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for ( i=0; i<NumOpers; i++ ){
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c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
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// if ( OperInfo[ i ][ 1 ] == '0' ) c = "\\"+c;
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if ( OperInfo[ i ][ 3 ] != '0' ){
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if ( firsttime == 0 )
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str += ", ";
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else
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firsttime = 0;
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str += c;
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if ( OperInfo[ i ][ 1 ] == '1' && ( OperInfo[ i ][ 2 ] == '5' || OperInfo[ i ][ 2 ] == '6' ) )
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str += "^T";
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str += "";
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}
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}
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str += " \\right]\n =\n ";
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str += "\\mbox{op}"
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str += "( ";
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firsttime = 1;
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for ( i=0; i<NumOpers; i++ ){
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c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
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// if ( OperInfo[ i ][ 1 ] == '0' ) c = "\\"+c;
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if ( OperInfo[ i ][ 3 ] != '1' ){
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if ( firsttime == 0 )
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str += ", ";
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else
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firsttime = 0;
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if ( OperInfo[ i ][ 2 ] != '0' )
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str += "\\hat{"
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str += c;
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if ( OperInfo[ i ][ 2 ] != '0' )
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str += "}"
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if ( OperInfo[ i ][ 1 ] == '1' && ( OperInfo[ i ][ 2 ] == '5' || OperInfo[ i ][ 2 ] == '6' ) )
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str += "^T";
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}
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}
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str += " )\n}\n\n";
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return str;
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}
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function LAHeader( FnName, FnType, Variant, NumOpers, OperInfo ){
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var str="", c="";
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var i;
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var firsttime = 1;
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str += "\\resetsteps % Reset all the commands to create a blank worksheet \n"
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str += "\n"
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str += "% Define the operation to be computed\n\n"
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str += "\\renewcommand{\\routinename}{ \\left[ ";
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for ( i=0; i<NumOpers; i++ ){
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c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
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// if ( OperInfo[ i ][ 1 ] == '0' ) c = "\\"+c;
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if ( OperInfo[ i ][ 3 ] != '0' ){
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if ( firsttime == 0 )
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str += ", ";
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else
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firsttime = 0;
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str += c;
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if ( OperInfo[ i ][ 1 ] == '1' && ( OperInfo[ i ][ 2 ] == '5' || OperInfo[ i ][ 2 ] == '6' ) )
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str += "^T";
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str += "";
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}
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}
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str += " \\right] := ";
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str += "\\mbox{\\sc "+FnName+"\\_"+BLK[ FnType ]+"}"
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str += "( ";
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firsttime = 1;
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for ( i=0; i<NumOpers; i++ ){
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c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
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// if ( OperInfo[ i ][ 1 ] == '0' ) c = "\\"+c;
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if ( OperInfo[ i ][ 3 ] != '1' ){
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if ( firsttime == 0 )
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str += ", ";
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else
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firsttime = 0;
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str += c;
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if ( OperInfo[ i ][ 1 ] == '1' && ( OperInfo[ i ][ 2 ] == '5' || OperInfo[ i ][ 2 ] == '6' ) )
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str += "^T";
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}
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}
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str += " ) }\n\n";
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return str;
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}
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function LInvariant( FnName, FnType, Variant, NumOpers, OperInfo ){
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var str="";
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var i;
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var firsttime = 1;
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var c="";
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str += "% Step 2: Invariant \n"
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str += "% Note: Right-hand side of equalities must be updated appropriately\n\n"
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str += "\\renewcommand{\\invariant}{\n";
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for (i=0; i<NumOpers; i++ ){
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if ( OperInfo[ i ][ 3 ] == '2' ){
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if ( firsttime == 0 )
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str += "\\wedge\n"
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else
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firsttime = 0
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switch( OperInfo[ i ][ 2 ] ){
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case '1':
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case '2':
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case '3':
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case '4':
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if ( OperInfo[ i ][ 1 ] == '2' ){
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c = MChoices[ OperInfo[ i ][ 0 ] ];
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str += indent+"\\FlaTwoByTwo{"+c+"_{TL}}{"+c+"_{TR}}\n";
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str += indent+" {"+c+"_{BL}}{"+c+"_{BR}} =\n";
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str += indent+"\\FlaTwoByTwo{\\hat{"+c+"}_{TL}}{\\hat{"+c+"}_{TR}}\n";
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str += indent+" {\\hat{"+c+"}_{BL}}{\\hat{"+c+"}_{BR}}\n";
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}
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else{
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str += "Cannot split non-matrix into four quadrants\n";
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return str;
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}
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break;
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case '5':
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case '6':
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c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
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str += indent+"\\FlaOneByTwo{"+c+"_L";
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if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
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str += "}{"+c+"_R";
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if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
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str += "} = \n";
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str += indent+"\\FlaOneByTwo{\\hat{"+c+"}_L";
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if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
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str += "}{\\hat{"+c+"}_R";
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if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
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str += "} \n";
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break;
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case '7':
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case '8':
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c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
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str += indent+"\\FlaTwoByOne{"+c+"_T}\n";
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str += indent+" {"+c+"_B} = \n"
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str += indent+"\\FlaTwoByOne{\\hat{"+c+"}_T}\n";
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str += indent+" {\\hat{"+c+"}_B}\n"
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break;
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}
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}
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}
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str += "}\n\n"
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return str
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}
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function LGuard( FnName, FnType, Variant, NumOpers, OperInfo ){
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var str = "";
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var i;
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str += "% Step 3: Loop-guard \n\n"
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for (i=0; i<NumOpers; i++ ){
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if ( OperInfo[ i ][ 2 ] != '0' ) break;
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}
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if ( i == parseInt( NumOpers ) ){
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str += "No variable to split";
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return str;
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}
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c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
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str += "\\renewcommand{\\guard}{\n"+indent
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switch( OperInfo[ i ][ 2 ] ){
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case '1': str += "m( "+c+"_{TL} ) < m( "+c+" )\n";
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break;
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case '2': str += "m( "+c+"_{BR} ) < m( "+c+" )\n";
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break;
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case '3': str += "m( "+c+"_{TR} ) < m( "+c+" )\n";
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break;
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case '4': str += "m( "+c+"_{BL} ) < m( "+c+" )\n";
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break;
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case '5': str += "n( "+c+"_L";
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if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
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str += " ) < n( "+c;
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if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
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str += " )\n";
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break;
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case '6': str += "n( "+c+"_R";
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if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
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str += " ) < n( "+c;
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if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
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str += " )\n";
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break;
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case '7': str += "m( "+c+"_T ) < m( "+c+" )\n";
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break;
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case '8': str += "m( "+c+"_B ) < m( "+c+" )\n";
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break;
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}
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str += "}\n\n"
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return str;
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}
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function LPartition( FnName, FnType, Variant, NumOpers, OperInfo ){
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var str="";
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var whle="";
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var i,j;
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var c;
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var firsttime=1;
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var countperline=0;
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str += "% Step 4: Initialize \n\n"
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str += "\\renewcommand{\\partitionings}{\n"
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whle += "\\renewcommand{\\partitionsizes}{\n"
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for (i=0; i<NumOpers; i++ ){
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if ( OperInfo[ i ][ 2 ] == '0' ) continue
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for (j=0; j<2; j++ ){
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/* Second time throught the "\nhat" version is generated */
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c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
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if ( j == 1 ){
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if ( OperInfo[ i ][ 3 ] != '2' ) continue
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c = "\\hat{"+c+"}"
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}
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if ( firsttime == 0 ){
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str += ",\n";
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whle += ",\n"
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}
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else
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firsttime = 0
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countperline++;
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if ( countperline > 2 ){
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str += "\\\\ \n";
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countperline = 0;
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}
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switch( OperInfo[ i ][ 2 ] ){
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case '1':
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case '2':
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case '3':
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case '4':
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if ( OperInfo[ i ][ 1 ] == '2' ){
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str += indent+"$\n"+indent;
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str += c+" \\rightarrow\n";
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str += indent+"\\FlaTwoByTwo{"+c+"_{TL}}{"+c+"_{TR}}\n";
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str += indent+" {"+c+"_{BL}}{"+c+"_{BR}}\n";
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str += indent+"$\n";
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whle += "$ "+c+"_{"+
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DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ]+"} $ is "
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whle += "$ 0 \\times 0 $"
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}
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else{
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str += "Cannot split non-matrix into four quadrants\n";
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return str;
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}
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break;
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case '5':
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case '6':
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str += indent+"$\n"+indent;
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str += c+" \\rightarrow\n";
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str += indent+"\\FlaOneByTwo{"
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str += c+"_L"
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if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
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str += "}{"
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str += c+"_R"
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if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
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str += "}\n";
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str += indent+"$\n";
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whle += "$ "+c+"_"+
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DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ]
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if ( OperInfo[ i ][ 1 ] == '1' ) whle += "^T";
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whle += " $ has "
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whle += "$ 0 $ columns"
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break;
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case '7':
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case '8':
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str += indent+"$\n"+indent;
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str += c+" \\rightarrow\n";
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str += indent+"\\FlaTwoByOne{"+c+"_{T}}\n";
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str += indent+" {"+c+"_{B}}\n";
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|
str += indent+"$\n";
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whle += "$ "+c+"_{"+
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DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ]+"} $ has "
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whle += "$ 0 $ rows"
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break;
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}
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}
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}
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|
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str += "}\n\n"
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whle += "\n}\n\n"
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str = str+whle
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return str;
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}
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|
|
function LPartition_Alg( FnName, FnType, Variant, NumOpers, OperInfo ){
|
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var str="";
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|
var whle="";
|
|
var i,j;
|
|
var c;
|
|
var firsttime=1;
|
|
var countperline=0;
|
|
|
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str += "% Step 4: Define Initialize \n\n"
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|
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str += "\\renewcommand{\\partitionings}{\n"
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|
whle += "\\renewcommand{\\partitionsizes}{\n"
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|
|
for (i=0; i<NumOpers; i++ ){
|
|
if ( OperInfo[ i ][ 2 ] == '0' ) continue
|
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|
|
for (j=0; j<1; j++ ){
|
|
/* Second time throught the "\nhat" version is generated
|
|
Note that this never happens now. */
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|
|
c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] != '2' ) continue
|
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c = "\\hat{"+c+"}"
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|
}
|
|
|
|
if ( firsttime == 0 ){
|
|
str += ",\n";
|
|
whle += ",\n"
|
|
}
|
|
else
|
|
firsttime = 0
|
|
|
|
countperline++;
|
|
if ( countperline > 2 ){
|
|
str += "\\\\ \n";
|
|
countperline = 0;
|
|
}
|
|
|
|
switch( OperInfo[ i ][ 2 ] ){
|
|
case '1':
|
|
case '2':
|
|
case '3':
|
|
case '4':
|
|
if ( OperInfo[ i ][ 1 ] == '2' ){
|
|
str += indent+"$\n"+indent;
|
|
str += c+" \\rightarrow\n";
|
|
str += indent+"\\FlaTwoByTwo{"+c+"_{TL}}{"+c+"_{TR}}\n";
|
|
str += indent+" {"+c+"_{BL}}{"+c+"_{BR}}\n";
|
|
str += indent+"$\n";
|
|
whle += "$ "+c+"_{"+
|
|
DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ]+"} $ is "
|
|
whle += "$ 0 \\times 0 $"
|
|
}
|
|
else{
|
|
str += "Cannot split non-matrix into four quadrants\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '5':
|
|
case '6':
|
|
str += indent+"$\n"+indent;
|
|
str += c+" \\rightarrow\n";
|
|
str += indent+"\\FlaOneByTwo{"
|
|
str += c+"_L"
|
|
if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
|
|
str += "}{"
|
|
str += c+"_R"
|
|
if ( OperInfo[ i ][ 1 ] == '1' ) str += "^T";
|
|
str += "}\n";
|
|
str += indent+"$\n";
|
|
whle += "$ "+c+"_"+
|
|
DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ]
|
|
if ( OperInfo[ i ][ 1 ] == '1' ) whle += "^T";
|
|
whle += " $ has "
|
|
whle += "$ 0 $ columns"
|
|
break;
|
|
case '7':
|
|
case '8':
|
|
str += indent+"$\n"+indent;
|
|
str += c+" \\rightarrow\n";
|
|
str += indent+"\\FlaTwoByOne{"+c+"_{T}}\n";
|
|
str += indent+" {"+c+"_{B}}\n";
|
|
str += indent+"$\n";
|
|
whle += "$ "+c+"_{"+
|
|
DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ]+"} $ has "
|
|
whle += "$ 0 $ rows"
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
str += "}\n\n"
|
|
whle += "\n}\n\n"
|
|
|
|
str = str+whle
|
|
|
|
return str;
|
|
}
|
|
|
|
function LRepartition( FnName, FnType, Variant, NumOpers, OperInfo ){
|
|
var str="";
|
|
var i, j;
|
|
var c, v, s, t, tpadding, spadding;
|
|
var b="", whre="";
|
|
var firsttime=1, countperline=0;
|
|
|
|
str += "% Step 5a: Repartition the operands \n\n"
|
|
|
|
if ( FnType != '0' ){ /* Determine Block Size */
|
|
str += "\\renewcommand{\\blocksize}{b}\n\n"
|
|
b = "b"
|
|
}
|
|
|
|
str += "\\renewcommand{\\repartitionings}{\n"
|
|
whre += "\\renewcommand{\\repartitionsizes}{\n"
|
|
for (i=0; i<NumOpers; i++ ){
|
|
if ( OperInfo[ i ][ 2 ] == '0' ) continue
|
|
|
|
for ( j=0; j<2; j++ ){
|
|
|
|
c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] == '2' )
|
|
c = "\\hat{"+c+"}"
|
|
else
|
|
continue
|
|
}
|
|
|
|
if ( firsttime == 0 ){
|
|
str +=",\n"
|
|
whre += ",\n"
|
|
}
|
|
else
|
|
firsttime = 0;
|
|
|
|
countperline++;
|
|
if ( countperline > 2 ){
|
|
str += "\\\\ \n";
|
|
countperline = 0;
|
|
}
|
|
|
|
str += "$\n";
|
|
|
|
switch( OperInfo[ i ][ 2 ] ){
|
|
case '1':
|
|
case '2':
|
|
case '3':
|
|
case '4':
|
|
if ( FnType == '0' ){
|
|
s = LAllChoices[ 0 ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ 1 ][ OperInfo[ i ][ 0 ] ];
|
|
t = "^T";
|
|
b = "1";
|
|
}
|
|
else{
|
|
s = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
t = "";
|
|
b = "b";
|
|
}
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] == '2' )
|
|
s = "\\hat{"+s+"}"
|
|
v = "\\hat{"+v+"}"
|
|
}
|
|
|
|
if ( OperInfo[ i ][ 1 ] == '2' ){
|
|
str += indent+"\\FlaTwoByTwo{"+c+"_{TL}}{"+c+"_{TR}}\n";
|
|
str += indent+" {"+c+"_{BL}}{"+c+"_{BR}}\n";
|
|
str += indent+"\\rightarrow\n";
|
|
str += indent+"\\FlaThreeByThree"+
|
|
DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_{00}}{"+v+"_{01}}{"+c+"_{02}}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_{10}"+t+"}{"+s+"_{11}}{"+v+"_{12}"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_{20}}{"+v+"_{21}}{"+c+"_{22}}\n$";
|
|
whre += indent+"$ "+s+"_{11} $ is $ "+b+" \\times "+b+" $\n";
|
|
}
|
|
else{
|
|
str += "Cannot split non-matrix into four quadrants\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '5':
|
|
case '6':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
}
|
|
if ( OperInfo[ i ][ 1 ] == '1' ){
|
|
t = "^T";
|
|
}
|
|
else{
|
|
t = ""
|
|
}
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaOneByTwo{"+c+"_L"+t+"}{"+c+"_R"+t+"}\n";
|
|
str += "\\rightarrow";
|
|
str += indent+"\\FlaOneByThree";
|
|
str += DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0"+t+"}{"+v+"_1";
|
|
if ( FnType != '0' )
|
|
str += t;
|
|
str += "}{"+c+"_2"+t+"}\n$\n";
|
|
whre += "$ "+v+"_1";
|
|
if ( FnType != '0' )
|
|
whre += t;
|
|
whre += " $ has $"+b+"$ column";
|
|
if ( b == 'b' ) whre += "s";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '7':
|
|
case '8':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
if ( OperInfo[ i ][ 1 ] == '2' ) t = "^T";
|
|
else t = "";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
t = ""
|
|
}
|
|
tpadding = repeat( t.length, ' ' );
|
|
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaTwoByOne{ "+c+"_T }\n";
|
|
str += indent+" { "+c+"_B }\n";
|
|
str += "\\rightarrow\n";
|
|
str += indent+"\\FlaThreeByOne";
|
|
str += DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_1"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_2}\n$\n";
|
|
whre += "$ "+v+"_1 $ has $ "+b+" $ row";
|
|
if ( b == 'b' ) whre += "s";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
str = str+"}\n\n"+whre+"}\n\n";
|
|
|
|
return str;
|
|
}
|
|
|
|
function LRepartition_Alg( FnName, FnType, Variant, NumOpers, OperInfo ){
|
|
var str="";
|
|
var i, j;
|
|
var c, v, s, t, tpadding, spadding;
|
|
var b="", whre="";
|
|
var firsttime=1, countperline=0;
|
|
|
|
str += "% Step 5a: Repartition the operands \n\n"
|
|
|
|
if ( FnType != '0' ){ /* Determine Block Size */
|
|
str += "\\renewcommand{\\blocksize}{b}\n\n"
|
|
b = "b"
|
|
}
|
|
|
|
str += "\\renewcommand{\\repartitionings}{\n"
|
|
whre += "\\renewcommand{\\repartitionsizes}{\n"
|
|
for (i=0; i<NumOpers; i++ ){
|
|
if ( OperInfo[ i ][ 2 ] == '0' ) continue
|
|
|
|
for ( j=0; j<1; j++ ){
|
|
|
|
c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] == '2' )
|
|
c = "\\hat{"+c+"}"
|
|
else
|
|
continue
|
|
}
|
|
|
|
if ( firsttime == 0 ){
|
|
str +=",\n"
|
|
whre += ",\n"
|
|
}
|
|
else
|
|
firsttime = 0;
|
|
|
|
countperline++;
|
|
if ( countperline > 2 ){
|
|
str += "\\\\ \n";
|
|
countperline = 0;
|
|
}
|
|
|
|
str += "$\n";
|
|
|
|
switch( OperInfo[ i ][ 2 ] ){
|
|
case '1':
|
|
case '2':
|
|
case '3':
|
|
case '4':
|
|
if ( FnType == '0' ){
|
|
s = LAllChoices[ 0 ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ 1 ][ OperInfo[ i ][ 0 ] ];
|
|
t = "^T";
|
|
b = "1";
|
|
}
|
|
else{
|
|
s = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
t = "";
|
|
b = "b";
|
|
}
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] == '2' )
|
|
s = "\\hat{"+s+"}"
|
|
v = "\\hat{"+v+"}"
|
|
}
|
|
|
|
if ( OperInfo[ i ][ 1 ] == '2' ){
|
|
str += indent+"\\FlaTwoByTwo{"+c+"_{TL}}{"+c+"_{TR}}\n";
|
|
str += indent+" {"+c+"_{BL}}{"+c+"_{BR}}\n";
|
|
str += indent+"\\rightarrow\n";
|
|
str += indent+"\\FlaThreeByThree"+
|
|
DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_{00}}{"+v+"_{01}}{"+c+"_{02}}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_{10}"+t+"}{"+s+"_{11}}{"+v+"_{12}"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_{20}}{"+v+"_{21}}{"+c+"_{22}}\n$";
|
|
whre += indent+"$ "+s+"_{11} $ is $ "+b+" \\times "+b+" $\n";
|
|
}
|
|
else{
|
|
str += "Cannot split non-matrix into four quadrants\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '5':
|
|
case '6':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
}
|
|
if ( OperInfo[ i ][ 1 ] == '1' ){
|
|
t = "^T";
|
|
}
|
|
else{
|
|
t = ""
|
|
}
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaOneByTwo{"+c+"_L"+t+"}{"+c+"_R"+t+"}\n";
|
|
str += "\\rightarrow";
|
|
str += indent+"\\FlaOneByThree";
|
|
str += DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0"+t+"}{"+v+"_1";
|
|
if ( FnType != '0' )
|
|
str += t;
|
|
str += "}{"+c+"_2"+t+"}\n$\n";
|
|
whre += "$ "+v+"_1";
|
|
if ( FnType != '0' )
|
|
whre += t;
|
|
whre += " $ has $"+b+"$ column";
|
|
if ( b == 'b' ) whre += "s";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '7':
|
|
case '8':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
if ( OperInfo[ i ][ 1 ] == '2' ) t = "^T";
|
|
else t = "";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
t = ""
|
|
}
|
|
tpadding = repeat( t.length, ' ' );
|
|
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaTwoByOne{ "+c+"_T }\n";
|
|
str += indent+" { "+c+"_B }\n";
|
|
str += "\\rightarrow\n";
|
|
str += indent+"\\FlaThreeByOne";
|
|
str += DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_1"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_2}\n$\n";
|
|
whre += "$ "+v+"_1 $ has $ "+b+" $ row";
|
|
if ( b == 'b' ) whre += "s";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
str = str+"}\n\n"+whre+"}\n\n";
|
|
|
|
return str;
|
|
}
|
|
|
|
function LContinue( FnName, FnType, Variant, NumOpers, OperInfo ){
|
|
var str="";
|
|
var i, j;
|
|
var c, v, s, t, tpadding, spadding;
|
|
var b="";
|
|
var firsttime=1, countperline=0;
|
|
|
|
str += "% Step 5b: Move the double lines \n\n"
|
|
|
|
str += "\\renewcommand{\\moveboundaries}{\n"
|
|
|
|
for (i=0; i<NumOpers; i++ ){
|
|
if ( OperInfo[ i ][ 2 ] == '0' ) continue
|
|
|
|
for ( j=0; j<2; j++ ){
|
|
|
|
c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] == '2' )
|
|
c = "\\hat{"+c+"}"
|
|
else
|
|
continue
|
|
}
|
|
|
|
if ( firsttime == 0 ){
|
|
str +=",\n"
|
|
}
|
|
else
|
|
firsttime = 0;
|
|
|
|
countperline++;
|
|
if ( countperline > 2 ){
|
|
str += "\\\\ \n";
|
|
countperline = 0;
|
|
}
|
|
|
|
str += "$\n";
|
|
|
|
switch( OperInfo[ i ][ 2 ] ){
|
|
case '1':
|
|
case '2':
|
|
case '3':
|
|
case '4':
|
|
if ( FnType == '0' ){
|
|
s = LAllChoices[ 0 ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ 1 ][ OperInfo[ i ][ 0 ] ];
|
|
t = "^T";
|
|
b = "1";
|
|
}
|
|
else{
|
|
s = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
t = "";
|
|
b = "b";
|
|
}
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] == '2' )
|
|
s = "\\hat{"+s+"}"
|
|
v = "\\hat{"+v+"}"
|
|
}
|
|
|
|
if ( OperInfo[ i ][ 1 ] == '2' ){
|
|
str += indent+"\\FlaTwoByTwo{"+c+"_{TL}}{"+c+"_{TR}}\n";
|
|
str += indent+" {"+c+"_{BL}}{"+c+"_{BR}}\n";
|
|
str += indent+"\\leftarrow\n";
|
|
str += indent+"\\FlaThreeByThree"+
|
|
DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_{00}}{"+v+"_{01}}{"+c+"_{02}}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_{10}"+t+"}{"+s+"_{11}}{"+v+"_{12}"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_{20}}{"+v+"_{21}}{"+c+"_{22}}\n$";
|
|
}
|
|
else{
|
|
str += "Cannot split non-matrix into four quadrants\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '5':
|
|
case '6':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
}
|
|
if ( OperInfo[ i ][ 1 ] == '1' ){
|
|
t = "^T";
|
|
}
|
|
else{
|
|
t = ""
|
|
}
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaOneByTwo{"+c+"_L"+t+"}{"+c+"_R"+t+"}\n";
|
|
str += "\\leftarrow";
|
|
str += indent+"\\FlaOneByThree";
|
|
str += DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0"+t+"}{"+v+"_1";
|
|
if ( FnType != '0' )
|
|
str += t;
|
|
str += "}{"+c+"_2"+t+"}\n$\n";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '7':
|
|
case '8':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
if ( OperInfo[ i ][ 1 ] == '2' ) t = "^T";
|
|
else t = "";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
t = ""
|
|
}
|
|
tpadding = repeat( t.length, ' ' );
|
|
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaTwoByOne{ "+c+"_T }\n";
|
|
str += indent+" { "+c+"_B }\n";
|
|
str += "\\leftarrow\n";
|
|
str += indent+"\\FlaThreeByOne";
|
|
str += DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_1"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_2}\n$\n";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
str = str+"}\n\n";
|
|
|
|
return str;
|
|
}
|
|
|
|
function LContinue_Alg( FnName, FnType, Variant, NumOpers, OperInfo ){
|
|
var str="";
|
|
var i, j;
|
|
var c, v, s, t, tpadding, spadding;
|
|
var b="";
|
|
var firsttime=1, countperline=0;
|
|
|
|
str += "% Step 5b: Move the double lines \n\n"
|
|
|
|
str += "\\renewcommand{\\moveboundaries}{\n"
|
|
|
|
for (i=0; i<NumOpers; i++ ){
|
|
if ( OperInfo[ i ][ 2 ] == '0' ) continue
|
|
|
|
for ( j=0; j<1; j++ ){
|
|
|
|
c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] == '2' )
|
|
c = "\\hat{"+c+"}"
|
|
else
|
|
continue
|
|
}
|
|
|
|
if ( firsttime == 0 ){
|
|
str +=",\n"
|
|
}
|
|
else
|
|
firsttime = 0;
|
|
|
|
countperline++;
|
|
if ( countperline > 2 ){
|
|
str += "\\\\ \n";
|
|
countperline = 0;
|
|
}
|
|
|
|
str += "$\n";
|
|
|
|
switch( OperInfo[ i ][ 2 ] ){
|
|
case '1':
|
|
case '2':
|
|
case '3':
|
|
case '4':
|
|
if ( FnType == '0' ){
|
|
s = LAllChoices[ 0 ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ 1 ][ OperInfo[ i ][ 0 ] ];
|
|
t = "^T";
|
|
b = "1";
|
|
}
|
|
else{
|
|
s = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
t = "";
|
|
b = "b";
|
|
}
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] == '2' )
|
|
s = "\\hat{"+s+"}"
|
|
v = "\\hat{"+v+"}"
|
|
}
|
|
|
|
if ( OperInfo[ i ][ 1 ] == '2' ){
|
|
str += indent+"\\FlaTwoByTwo{"+c+"_{TL}}{"+c+"_{TR}}\n";
|
|
str += indent+" {"+c+"_{BL}}{"+c+"_{BR}}\n";
|
|
str += indent+"\\leftarrow\n";
|
|
str += indent+"\\FlaThreeByThree"+
|
|
DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_{00}}{"+v+"_{01}}{"+c+"_{02}}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_{10}"+t+"}{"+s+"_{11}}{"+v+"_{12}"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_{20}}{"+v+"_{21}}{"+c+"_{22}}\n$";
|
|
}
|
|
else{
|
|
str += "Cannot split non-matrix into four quadrants\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '5':
|
|
case '6':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
}
|
|
if ( OperInfo[ i ][ 1 ] == '1' ){
|
|
t = "^T";
|
|
}
|
|
else{
|
|
t = ""
|
|
}
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaOneByTwo{"+c+"_L"+t+"}{"+c+"_R"+t+"}\n";
|
|
str += "\\leftarrow";
|
|
str += indent+"\\FlaOneByThree";
|
|
str += DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0"+t+"}{"+v+"_1";
|
|
if ( FnType != '0' )
|
|
str += t;
|
|
str += "}{"+c+"_2"+t+"}\n$\n";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '7':
|
|
case '8':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
if ( OperInfo[ i ][ 1 ] == '2' ) t = "^T";
|
|
else t = "";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
t = ""
|
|
}
|
|
tpadding = repeat( t.length, ' ' );
|
|
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaTwoByOne{ "+c+"_T }\n";
|
|
str += indent+" { "+c+"_B }\n";
|
|
str += "\\leftarrow\n";
|
|
str += indent+"\\FlaThreeByOne";
|
|
str += DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_1"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_2}\n$\n";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
str = str+"}\n\n";
|
|
|
|
return str;
|
|
}
|
|
|
|
function LAfterRepartition( FnName, FnType, Variant, NumOpers, OperInfo ){
|
|
var str="";
|
|
var i, j;
|
|
var c, v, s, t, tpadding, spadding;
|
|
var b="", whre="";
|
|
var firsttime=1;
|
|
|
|
str += "% Step 6: State after repartitioning\n"
|
|
str += "% Note: The below needs editing!!!\n\n"
|
|
|
|
str += "\\renewcommand{\\beforeupdate}{\n"
|
|
|
|
for (i=0; i<NumOpers; i++ ){
|
|
if ( OperInfo[ i ][ 2 ] == '0' ) continue
|
|
if ( OperInfo[ i ][ 3 ] == '0' ) continue
|
|
|
|
if ( firsttime == 0 )
|
|
str +="\\wedge\n"
|
|
else
|
|
firsttime = 0;
|
|
|
|
for ( j=0; j<2; j++ ){
|
|
if ( j == 1 )
|
|
str += "=\n"
|
|
|
|
c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] != '0' )
|
|
c = "\\hat{"+c+"}"
|
|
else
|
|
continue
|
|
}
|
|
|
|
switch( OperInfo[ i ][ 2 ] ){
|
|
case '1':
|
|
case '2':
|
|
case '3':
|
|
case '4':
|
|
if ( FnType == '0' ){
|
|
s = LAllChoices[ 0 ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ 1 ][ OperInfo[ i ][ 0 ] ];
|
|
t = "^T";
|
|
}
|
|
else{
|
|
s = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
t = "";
|
|
}
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] != '0' )
|
|
s = "\\hat{"+s+"}"
|
|
v = "\\hat{"+v+"}"
|
|
}
|
|
|
|
if ( OperInfo[ i ][ 1 ] == '2' ){
|
|
str += indent+"\\FlaThreeByThree"+
|
|
DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_{00}}{"+v+"_{01}}{"+c+"_{02}}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_{10}"+t+"}{"+s+"_{11}}{"+v+"_{12}"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_{20}}{"+v+"_{21}}{"+c+"_{22}}\n";
|
|
}
|
|
else{
|
|
str += "Cannot split non-matrix into four quadrants\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '5':
|
|
case '6':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
}
|
|
if ( OperInfo[ i ][ 1 ] == '1' ){
|
|
t = "^T";
|
|
}
|
|
else{
|
|
t = ""
|
|
}
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaOneByThree";
|
|
str += DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0"+t+"}{"+v+"_1";
|
|
if ( FnType != '0' )
|
|
str += t;
|
|
str += "}{"+c+"_2"+t+"}\n";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '7':
|
|
case '8':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
if ( OperInfo[ i ][ 1 ] == '2' ) t = "^T";
|
|
else t = "";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
t = ""
|
|
}
|
|
tpadding = repeat( t.length, ' ' );
|
|
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaThreeByOne";
|
|
str += DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_1"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_2}\n\n";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
str = str+"}\n\n";
|
|
|
|
return str;
|
|
}
|
|
|
|
|
|
|
|
function LBeforeContinue( FnName, FnType, Variant, NumOpers, OperInfo ){
|
|
var str="";
|
|
var i, j;
|
|
var c, v, s, t, tpadding, spadding;
|
|
var b="", whre="";
|
|
var firsttime=1;
|
|
|
|
str += "% Step 7: State after moving of double lines\n"
|
|
str += "% Note: The below needs editing!!!\n\n"
|
|
|
|
str += "\\renewcommand{\\afterupdate}{\n"
|
|
|
|
for (i=0; i<NumOpers; i++ ){
|
|
if ( OperInfo[ i ][ 2 ] == '0' ) continue
|
|
if ( OperInfo[ i ][ 3 ] == '0' ) continue
|
|
|
|
if ( firsttime == 0 )
|
|
str +="\\wedge\n"
|
|
else
|
|
firsttime = 0;
|
|
|
|
for ( j=0; j<2; j++ ){
|
|
if ( j == 1 )
|
|
str += "=\n"
|
|
|
|
c = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] != '0' )
|
|
c = "\\hat{"+c+"}"
|
|
else
|
|
continue
|
|
}
|
|
|
|
switch( OperInfo[ i ][ 2 ] ){
|
|
case '1':
|
|
case '2':
|
|
case '3':
|
|
case '4':
|
|
if ( FnType == '0' ){
|
|
s = LAllChoices[ 0 ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ 1 ][ OperInfo[ i ][ 0 ] ];
|
|
t = "^T";
|
|
}
|
|
else{
|
|
s = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
t = "";
|
|
}
|
|
if ( j == 1 ){
|
|
if ( OperInfo[ i ][ 3 ] != '0' )
|
|
s = "\\hat{"+s+"}"
|
|
v = "\\hat{"+v+"}"
|
|
}
|
|
|
|
if ( OperInfo[ i ][ 1 ] == '2' ){
|
|
str += indent+"\\FlaThreeByThree"+
|
|
DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_{00}}{"+v+"_{01}}{"+c+"_{02}}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_{10}"+t+"}{"+s+"_{11}}{"+v+"_{12}"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_{20}}{"+v+"_{21}}{"+c+"_{22}}\n";
|
|
}
|
|
else{
|
|
str += "Cannot split non-matrix into four quadrants\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '5':
|
|
case '6':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
}
|
|
if ( OperInfo[ i ][ 1 ] == '1' ){
|
|
t = "^T";
|
|
}
|
|
else{
|
|
t = ""
|
|
}
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaOneByThree";
|
|
str += DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0"+t+"}{"+v+"_1";
|
|
if ( FnType != '0' )
|
|
str += t;
|
|
str += "}{"+c+"_2"+t+"}\n";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
case '7':
|
|
case '8':
|
|
if ( FnType == '0' ){
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ]-1 ][ OperInfo[ i ][ 0 ] ];
|
|
b = "1";
|
|
if ( OperInfo[ i ][ 1 ] == '2' ) t = "^T";
|
|
else t = "";
|
|
}
|
|
else{
|
|
v = LAllChoices[ OperInfo[ i ][ 1 ] ][ OperInfo[ i ][ 0 ] ];
|
|
b = "b";
|
|
t = ""
|
|
}
|
|
tpadding = repeat( t.length, ' ' );
|
|
|
|
if ( j == 1 )
|
|
v = "\\hat{"+v+"}"
|
|
|
|
if ( OperInfo[ i ][ 1 ] != '0' ){
|
|
str += indent+"\\FlaThreeByOne";
|
|
str += DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
|
|
str += "{"+c+"_0}\n";
|
|
str += indent+" ";
|
|
str += "{"+v+"_1"+t+"}\n";
|
|
str += indent+" ";
|
|
str += "{"+c+"_2}\n\n";
|
|
}
|
|
else{
|
|
str += "Cannot split scalar\n";
|
|
return str;
|
|
}
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
str = str+"}\n\n";
|
|
|
|
return str;
|
|
}
|
|
|
|
function LUpdate( FnName, FnType, Variant, NumOpers, OperInfo ){
|
|
var str = "";
|
|
|
|
str += "% Step 8: Insert the updates required to change the \n"
|
|
str += "% state from that given in Step 6 to that given in Step 7\n"
|
|
|
|
str += "% Note: The below needs editing!!!\n\n"
|
|
|
|
str += "\\renewcommand{\\update}{\n"
|
|
|
|
str += "$\n";
|
|
|
|
str += indent+"\\begin{array}{l}\n";
|
|
str += indent+indent+"\\mbox{update line 1} \\\\ \n";
|
|
str += indent+indent+"\\mbox{\\ \\ \\ \\ :} \\\\ \n";
|
|
str += indent+indent+"\\mbox{update line n} \\\\ \n";
|
|
str += indent+"\\end{array}\n";
|
|
|
|
str += "$\n";
|
|
|
|
str += "}\n\n";
|
|
|
|
return str;
|
|
}
|
|
|
|
function LFooter( FnName, FnType, Variant, NumOpers, OperInfo ){
|
|
var str="";
|
|
|
|
str += "\\begin{figure}[tbp]\n";
|
|
str += "\n";
|
|
str += "\\begin{center} % center the algorithm on the page \n";
|
|
str += "\\footnotesize % make the font smaller so things fit on a page \n";
|
|
str += " \n";
|
|
str += "\\worksheet % this command generates the worksheet using the \n";
|
|
str += " % commands that were defined between the \\resetsteps \n";
|
|
str += " % and the \worksheet command \n";
|
|
str += "\\end{center} \n";
|
|
str += " \n";
|
|
str += "% The following command creates a caption for the figure. \n";
|
|
str += " \n";
|
|
str += "\\caption{ Worksheet for deriving the ";
|
|
str += BlkChoices[ FnType ];
|
|
str += " algorithm for \n";
|
|
str += "$\\operation$ ";
|
|
if ( Variant != '0' )
|
|
str += "(Variant "+Variant+")";
|
|
str += ".} \n";
|
|
str += " \n";
|
|
str += " \n";
|
|
str += "% The following command creates a label so that the figure can \n";
|
|
str += "% be referenced by its number by inserting \n";
|
|
str += "% \\ref{";
|
|
str += FnName+":ws_"+BlkChoicesShort[ FnType ];
|
|
if ( Variant != '0' )
|
|
str += "_var"+Variant;
|
|
str += "} in the \\LaTeX source \n";
|
|
str += " \n";
|
|
str += "\\label{"
|
|
str += FnName+":ws_"+BlkChoicesShort[ FnType ];
|
|
if ( Variant != '0' )
|
|
str += "_var"+Variant;
|
|
str += "} \n";
|
|
str += " \n";
|
|
str += "\\end{figure} \n\n";
|
|
|
|
return str;
|
|
}
|
|
|
|
function LFooter_Alg( FnName, FnType, Variant, NumOpers, OperInfo ){
|
|
var str="";
|
|
|
|
str += "\\begin{figure}[tbp]\n";
|
|
str += "\n";
|
|
str += "\\begin{center} % center the algorithm on the page \n";
|
|
str += " \n";
|
|
str += "\\FlaAlgorithm % this command generates the algorithm \n";
|
|
str += "\\end{center} \n";
|
|
str += " \n";
|
|
str += "% The following command creates a caption for the figure. \n";
|
|
str += " \n";
|
|
str += "\\caption{";
|
|
str += BlkChoicesCap[ FnType ];
|
|
str += " algorithm for \n";
|
|
str += "$\\operation$ ";
|
|
if ( Variant != '0' )
|
|
str += "(Variant "+Variant+")";
|
|
str += ".} \n";
|
|
str += " \n";
|
|
str += " \n";
|
|
str += "% The following command creates a label so that the figure can \n";
|
|
str += "% be referenced by its number by inserting \n";
|
|
str += "% \\ref{";
|
|
str += FnName+":alg_"+BlkChoicesShort[ FnType ];
|
|
if ( Variant != '0' )
|
|
str += "_var"+Variant;
|
|
str += "} in the \\LaTeX source \n";
|
|
str += " \n";
|
|
str += "\\label{"
|
|
str += FnName+":alg_"+BlkChoicesShort[ FnType ];
|
|
if ( Variant != '0' )
|
|
str += "_var"+Variant;
|
|
str += "} \n";
|
|
str += " \n";
|
|
str += "\\end{figure} \n\n";
|
|
str += "\\end{document}\n";
|
|
|
|
return str;
|
|
}
|
|
|
|
function repeat( n, c ){
|
|
var str = "";
|
|
var i;
|
|
|
|
for ( i=0; i<n; i++ )
|
|
str += c;
|
|
|
|
return str
|
|
}
|
|
|