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GenLscript.js
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GenLscript.js
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function GenWscript( FnName, FnType, Variant, NumOpers, OperInfo, author, email ){
var str="", notfirst=0, i;
FnName = FnName.replace( /([^\\])\_/gi,"$1\\_");
str += "<html><pre><code>\n";
str += LWHeader( FnName, FnType, Variant, NumOpers, OperInfo );
str += LInvariant( FnName, FnType, Variant, NumOpers, OperInfo );
str += LGuard( FnName, FnType, Variant, NumOpers, OperInfo );
str += LPartition( FnName, FnType, Variant, NumOpers, OperInfo );
str += LRepartition( FnName, FnType, Variant, NumOpers, OperInfo );
str += LContinue( FnName, FnType, Variant, NumOpers, OperInfo );
str += LAfterRepartition( FnName, FnType, Variant, NumOpers, OperInfo );
str += LBeforeContinue( FnName, FnType, Variant, NumOpers, OperInfo );
str += LUpdate( FnName, FnType, Variant, NumOpers, OperInfo );
str += "\n\n</code></pre></html>";
with (parent.frames[1].document){
open();
writeln( str );
close();
}
return false;
}
function GenAscript( FnName, FnType, Variant, NumOpers, OperInfo, author, email ){
var str="", notfirst=0, i;
FnName = FnName.replace( /([^\\])\_/gi,"$1\\_");
str += "<html><pre><code>\n";
str += LAHeader( FnName, FnType, Variant, NumOpers, OperInfo );
str += LGuard( FnName, FnType, Variant, NumOpers, OperInfo );
str += LPartition_Alg( FnName, FnType, Variant, NumOpers, OperInfo );
str += LRepartition_Alg( FnName, FnType, Variant, NumOpers, OperInfo );
str += LContinue_Alg( FnName, FnType, Variant, NumOpers, OperInfo );
str += LUpdate( FnName, FnType, Variant, NumOpers, OperInfo );
str += "\n\n</code></pre></html>";
with (parent.frames[1].document){
open();
writeln( str );
close();
}
return false;
}
function LWHeader( FnName, FnType, Variant, NumOpers, OperInfo ){
var str="", c="";
var i;
var firsttime = 1;
str += "\\resetsteps % Reset all the commands to create a blank worksheet \n"
str += "\n"
str += "% Define the operation to be computed\n\n"
str += "\\renewcommand{\\operation}{ \\left[ ";
for ( i=0; i<NumOpers; i++ ){
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
// if ( OperInfo[ i ][ OPERAND_TYPE ] == '0' ) c = "\\"+c;
if ( OperInfo[ i ][ OPERAND_IO ] == IO_INOUT ){
if ( firsttime == 0 )
str += ", ";
else
firsttime = 0;
str += c;
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' && ( OperInfo[ i ][ OPERAND_DIR ] == '5' || OperInfo[ i ][ OPERAND_DIR ] == '6' ) )
str += "^T";
str += "";
}
}
str += " \\right] := ";
str += "\\mbox{\\sc "+FnName.replace(/\s+/g,"\\_")+"\\_"+BLK[ FnType ];
if (Variant != "0"){
str += "\\_var"+Variant;
}
str += "}";
str += "( ";
firsttime = 1;
for ( i=0; i<NumOpers; i++ ){
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
// if ( OperInfo[ i ][ OPERAND_TYPE ] == '0' ) c = "\\"+c;
if ( OperInfo[ i ][ OPERAND_IO ] != IO_TMP ){
if ( firsttime == 0 )
str += ", ";
else
firsttime = 0;
str += c;
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' && ( OperInfo[ i ][ OPERAND_DIR ] == '5' || OperInfo[ i ][ OPERAND_DIR ] == '6' ) )
str += "^T";
}
}
str += " ) }\n\n";
str += "\\renewcommand{\\routinename}{\\operation}\n\n";
str += "% Step 1a: Precondition \n\n"
str += "\\renewcommand{\\precondition}{\n"
firsttime = 1;
for ( i=0; i<NumOpers; i++ ){
if ( OperInfo[ i ][ 3 ] == '2' ){
str += indent
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
// if ( OperInfo[ i ][ OPERAND_TYPE ] == '0' ) c = "\\"+c;
if ( firsttime == 0 )
str += "\\wedge\n"+indent;
else
firsttime = 0;
str += c;
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' && ( OperInfo[ i ][ OPERAND_DIR ] == '5' || OperInfo[ i ][ OPERAND_DIR ] == '6' ) )
str += "^T";
str += " = "
str += "\\widehat{"+c+"}";
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' && ( OperInfo[ i ][ OPERAND_DIR ] == '5' || OperInfo[ i ][ OPERAND_DIR ] == '6' ) )
str += "^T";
str += "\n"
}
}
str +="}\n\n"
str += "% Step 1b: Postcondition \n\n"
str += "\\renewcommand{\\postcondition}{ \n \\left[";
firsttime=1
for ( i=0; i<NumOpers; i++ ){
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
// if ( OperInfo[ i ][ OPERAND_TYPE ] == '0' ) c = "\\"+c;
if ( OperInfo[ i ][ OPERAND_IO ] == IO_INOUT ){
if ( firsttime == 0 )
str += ", ";
else
firsttime = 0;
str += c;
if ( OperInfo[ i ][ OPERAND_TYPE ] == TYPE_VECTOR && ( OperInfo[ i ][ OPERAND_DIR ] == '5' || OperInfo[ i ][ OPERAND_DIR ] == '6' ) )
str += "^T";
str += "";
}
}
str += " \\right]\n =\n ";
str += "\\mbox{"+FnName+"}"
str += "( ";
firsttime = 1;
for ( i=0; i<NumOpers; i++ ){
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
// if ( OperInfo[ i ][ OPERAND_TYPE ] == '0' ) c = "\\"+c;
if ( OperInfo[ i ][ OPERAND_IO ] != IO_TMP ){
if ( firsttime == 0 )
str += ", ";
else
firsttime = 0;
if ( OperInfo[ i ][ OPERAND_IO ] == IO_INOUT )
str += "\\widehat{"
str += c;
if ( OperInfo[ i ][ OPERAND_IO ] == IO_INOUT )
str += "}"
if ( OperInfo[ i ][ OPERAND_TYPE ] == TYPE_VECTOR && ( OperInfo[ i ][ OPERAND_DIR ] == '5' || OperInfo[ i ][ OPERAND_DIR ] == '6' ) )
str += "^T";
}
}
str += " )\n}\n\n";
return str;
}
function LAHeader( FnName, FnType, Variant, NumOpers, OperInfo ){
var str="", c="";
var i;
var firsttime = 1;
str += "\\resetsteps % Reset all the commands to create a blank worksheet \n"
str += "\n"
str += "% Define the operation to be computed\n\n"
str += "\\renewcommand{\\routinename}{ \\left[ ";
for ( i=0; i<NumOpers; i++ ){
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
// if ( OperInfo[ i ][ OPERAND_TYPE ] == '0' ) c = "\\"+c;
if ( OperInfo[ i ][ OPERAND_IO ] == IO_INOUT ){
if ( firsttime == 0 )
str += ", ";
else
firsttime = 0;
str += c;
if ( OperInfo[ i ][ OPERAND_TYPE ] == TYPE_VECTOR && ( OperInfo[ i ][ OPERAND_DIR ] == '5' || OperInfo[ i ][ OPERAND_DIR ] == '6' ) )
str += "^T";
str += "";
}
}
str += " \\right] := ";
// str += "\\mbox{\\sc "+FnName+"\\_"+BLK[ FnType ]+"}"
str += "\\mbox{\\sc "+FnName.replace(/\s+/g,"\\_")+"\\_"+BLK[ FnType ];
if (Variant != "0"){
str += "\\_var"+Variant;
}
str += "}";
str += "( ";
firsttime = 1;
for ( i=0; i<NumOpers; i++ ){
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
// if ( OperInfo[ i ][ OPERAND_TYPE ] == '0' ) c = "\\"+c;
if ( OperInfo[ i ][ OPERAND_IO ] != IO_TMP ){
if ( firsttime == 0 )
str += ", ";
else
firsttime = 0;
str += c;
if ( OperInfo[ i ][ OPERAND_TYPE ] == TYPE_VECTOR && ( OperInfo[ i ][ OPERAND_DIR ] == '5' || OperInfo[ i ][ OPERAND_DIR ] == '6' ) )
str += "^T";
}
}
str += " ) }\n\n";
return str;
}
function LInvariant( FnName, FnType, Variant, NumOpers, OperInfo ){
var str="";
var i;
var firsttime = 1;
var c="";
str += "% Step 2: Invariant \n"
str += "% Note: Right-hand side of equalities must be updated appropriately\n\n"
str += "\\renewcommand{\\invariant}{\n";
for (i=0; i<NumOpers; i++ ){
if ( OperInfo[ i ][ OPERAND_IO ] == IO_INOUT ){
if ( firsttime == 0 )
str += "\\wedge\n"
else
firsttime = 0
switch( OperInfo[ i ][ OPERAND_DIR ] ){
case '1':
case '2':
case '3':
case '4':
if ( OperInfo[ i ][ OPERAND_TYPE ] == TYPE_MATRIX ){
c = MChoices[ OperInfo[ i ][ OPERAND_NAME ] ];
str += indent+"\\FlaTwoByTwo{"+c+"_{TL}}{"+c+"_{TR}}\n";
str += indent+" {"+c+"_{BL}}{"+c+"_{BR}} =\n";
str += indent+"\\FlaTwoByTwo{\\widehat{"+c+"}_{TL}}{\\widehat{"+c+"}_{TR}}\n";
str += indent+" {\\widehat{"+c+"}_{BL}}{\\widehat{"+c+"}_{BR}}\n";
}
else{
str += "Cannot split non-matrix into four quadrants\n";
return str;
}
break;
case '5':
case '6':
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
str += indent+"\\FlaOneByTwo{"+c+"_L";
if ( OperInfo[ i ][ OPERAND_TYPE ] == TYPE_VECTOR ) str += "^T";
str += "}{"+c+"_R";
if ( OperInfo[ i ][ OPERAND_TYPE ] == TYPE_VECTOR ) str += "^T";
str += "} = \n";
str += indent+"\\FlaOneByTwo{\\widehat{"+c+"}_L";
if ( OperInfo[ i ][ OPERAND_TYPE ] == TYPE_VECTOR ) str += "^T";
str += "}{\\widehat{"+c+"}_R";
if ( OperInfo[ i ][ OPERAND_TYPE ] == TYPE_VECTOR ) str += "^T";
str += "} \n";
break;
case '7':
case '8':
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
str += indent+"\\FlaTwoByOne{"+c+"_T}\n";
str += indent+" {"+c+"_B} = \n"
str += indent+"\\FlaTwoByOne{\\widehat{"+c+"}_T}\n";
str += indent+" {\\widehat{"+c+"}_B}\n"
break;
}
}
}
str += "}\n\n"
return str
}
function LGuard( FnName, FnType, Variant, NumOpers, OperInfo ){
var str = "";
var i;
str += "% Step 3: Loop-guard \n\n"
for (i=0; i<NumOpers; i++ ){
if ( OperInfo[ i ][ 2 ] != '0' ) break;
}
if ( i == parseInt( NumOpers ) ){
str += "No variable to split";
return str;
}
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
str += "\\renewcommand{\\guard}{\n"+indent
switch( OperInfo[ i ][ 2 ] ){
case '1': str += "m( "+c+"_{TL} ) < m( "+c+" )\n";
break;
case '2': str += "m( "+c+"_{BR} ) < m( "+c+" )\n";
break;
case '3': str += "m( "+c+"_{TR} ) < m( "+c+" )\n";
break;
case '4': str += "m( "+c+"_{BL} ) < m( "+c+" )\n";
break;
case '5': str += "n( "+c+"_L";
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' ) str += "^T";
str += " ) < n( "+c;
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' ) str += "^T";
str += " )\n";
break;
case '6': str += "n( "+c+"_R";
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' ) str += "^T";
str += " ) < n( "+c;
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' ) str += "^T";
str += " )\n";
break;
case '7': str += "m( "+c+"_T ) < m( "+c+" )\n";
break;
case '8': str += "m( "+c+"_B ) < m( "+c+" )\n";
break;
}
str += "}\n\n"
return str;
}
function LPartition( FnName, FnType, Variant, NumOpers, OperInfo ){
var str="";
var whle="";
var i,j;
var c;
var firsttime=1;
var countperline=0;
str += "% Step 4: Initialize \n\n"
str += "\\renewcommand{\\partitionings}{\n"
whle += "\\renewcommand{\\partitionsizes}{\n"
for (i=0; i<NumOpers; i++ ){
if ( OperInfo[ i ][ 2 ] == '0' ) continue
for (j=0; j<1; j++ ){
/* Second time throught the "\nhat" version is generated */
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
if ( j == 1 ){
if ( OperInfo[ i ][ 3 ] != '2' ) continue
c = "\\widehat{"+c+"}"
}
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 ][ OPERAND_TYPE ] == '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 ][ OPERAND_TYPE ] == '1' ) str += "^T";
str += "}{"
str += c+"_R"
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' ) str += "^T";
str += "}\n";
str += indent+"$\n";
whle += "$ "+c+"_"+
DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ]
if ( OperInfo[ i ][ OPERAND_TYPE ] == '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 LPartition_Alg( FnName, FnType, Variant, NumOpers, OperInfo ){
var str="";
var whle="";
var i,j;
var c;
var firsttime=1;
var countperline=0;
str += "% Step 4: Define Initialize \n\n"
str += "\\renewcommand{\\partitionings}{\n"
whle += "\\renewcommand{\\partitionsizes}{\n"
for (i=0; i<NumOpers; i++ ){
if ( OperInfo[ i ][ 2 ] == '0' ) continue
for (j=0; j<1; j++ ){
/* Second time throught the "\nhat" version is generated
Note that this never happens now. */
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
if ( j == 1 ){
if ( OperInfo[ i ][ 3 ] != '2' ) continue
c = "\\widehat{"+c+"}"
}
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 ][ OPERAND_TYPE ] == '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 ][ OPERAND_TYPE ] == '1' ) str += "^T";
str += "}{"
str += c+"_R"
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' ) str += "^T";
str += "}\n";
str += indent+"$\n";
whle += "$ "+c+"_"+
DirChoicesBeforeShort[ OperInfo[ i ][ 2 ] ]
if ( OperInfo[ i ][ OPERAND_TYPE ] == '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<1; j++ ){
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
if ( j == 1 ){
if ( OperInfo[ i ][ 3 ] == '2' )
c = "\\widehat{"+c+"}"
else
continue
}
if ( firsttime == 0 ){
str +=",\n"
whre += ",\n"
}
else
firsttime = 0;
// countperline++
/*;
if ( countperline > 2 ){
str += "\\\\ \n";
countperline = 0;
}
str += "$\n";
*/
str += "$";
switch( OperInfo[ i ][ 2 ] ){
case '1':
case '2':
case '3':
case '4':
if ( FnType == '0' ){
s = LAllChoices[ 0 ][ OperInfo[ i ][ OPERAND_NAME ] ];
v = LAllChoices[ 1 ][ OperInfo[ i ][ OPERAND_NAME ] ];
t = "^T";
b = "1";
}
else{
s = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
v = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
t = "";
b = "b";
}
if ( j == 1 ){
if ( OperInfo[ i ][ 3 ] == '2' )
s = "\\widehat{"+s+"}"
v = "\\widehat{"+v+"}"
}
if ( OperInfo[ i ][ OPERAND_TYPE ] == '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+" $";
}
else{
str += "Cannot split non-matrix into four quadrants\n";
return str;
}
break;
case '5':
case '6':
if ( FnType == '0' ){
v = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ]-1 ][ OperInfo[ i ][ OPERAND_NAME ] ];
b = "1";
}
else{
v = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
b = "b";
}
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' ){
t = "^T";
}
else{
t = ""
}
if ( j == 1 )
v = "\\widehat{"+v+"}"
if ( OperInfo[ i ][ OPERAND_TYPE ] != '0' ){
str += indent+"\\FlaOneByTwo{"+c+"_L"+t+"}{"+c+"_R"+t+"}\n";
str += "\\rightarrow";
str += indent+"\\FlaOneByThree";
str += DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
str += "{"+c+"_0"+t+"}{"+v+"_1";
if ( FnType != '0' )
str += t;
str += "}{"+c+"_2"+t+"}\n$\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 ][ OPERAND_TYPE ]-1 ][ OperInfo[ i ][ OPERAND_NAME ] ];
b = "1";
if ( OperInfo[ i ][ OPERAND_TYPE ] == '2' ) t = "^T";
else t = "";
}
else{
v = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
b = "b";
t = ""
}
tpadding = repeat( t.length, ' ' );
if ( j == 1 )
v = "\\widehat{"+v+"}"
if ( OperInfo[ i ][ OPERAND_TYPE ] != '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 ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
if ( j == 1 ){
if ( OperInfo[ i ][ 3 ] == '2' )
c = "\\widehat{"+c+"}"
else
continue
}
if ( firsttime == 0 ){
str +=",\n"
whre += ",\n"
}
else
firsttime = 0;
// countperline++;
/* if ( countperline > 2 ){
str += "\\\\ \n";
countperline = 0;
}
str += "$\n";
*/
str += "$";
switch( OperInfo[ i ][ 2 ] ){
case '1':
case '2':
case '3':
case '4':
if ( FnType == '0' ){
s = LAllChoices[ 0 ][ OperInfo[ i ][ OPERAND_NAME ] ];
v = LAllChoices[ 1 ][ OperInfo[ i ][ OPERAND_NAME ] ];
t = "^T";
b = "1";
}
else{
s = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
v = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
t = "";
b = "b";
}
if ( j == 1 ){
if ( OperInfo[ i ][ 3 ] == '2' )
s = "\\widehat{"+s+"}"
v = "\\widehat{"+v+"}"
}
if ( OperInfo[ i ][ OPERAND_TYPE ] == '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+" $";
}
else{
str += "Cannot split non-matrix into four quadrants\n";
return str;
}
break;
case '5':
case '6':
if ( FnType == '0' ){
v = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ]-1 ][ OperInfo[ i ][ OPERAND_NAME ] ];
b = "1";
}
else{
v = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
b = "b";
}
if ( OperInfo[ i ][ OPERAND_TYPE ] == '1' ){
t = "^T";
}
else{
t = ""
}
if ( j == 1 )
v = "\\widehat{"+v+"}"
if ( OperInfo[ i ][ OPERAND_TYPE ] != '0' ){
str += indent+"\\FlaOneByTwo{"+c+"_L"+t+"}{"+c+"_R"+t+"}\n";
str += "\\rightarrow";
str += indent+"\\FlaOneByThree";
str += DirChoicesAfterShort[ OperInfo[ i ][ 2 ] ];
str += "{"+c+"_0"+t+"}{"+v+"_1";
if ( FnType != '0' )
str += t;
str += "}{"+c+"_2"+t+"}\n$\n";
whre += indent+"$ "+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 ][ OPERAND_TYPE ]-1 ][ OperInfo[ i ][ OPERAND_NAME ] ];
b = "1";
if ( OperInfo[ i ][ OPERAND_TYPE ] == '2' ) t = "^T";
else t = "";
}
else{
v = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
b = "b";
t = ""
}
tpadding = repeat( t.length, ' ' );
if ( j == 1 )
v = "\\widehat{"+v+"}"
if ( OperInfo[ i ][ OPERAND_TYPE ] != '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$\n";
whre += indent+"$ "+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<1; j++ ){
c = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
if ( j == 1 ){
if ( OperInfo[ i ][ 3 ] == '2' )
c = "\\widehat{"+c+"}"
else
continue
}
if ( firsttime == 0 ){
str +=",\n"
}
else
firsttime = 0;
// countperline++;
/* if ( countperline > 2 ){
str += "\\\\ \n";
countperline = 0;
}
str += "$\n";
*/
str += "$";
switch( OperInfo[ i ][ 2 ] ){
case '1':
case '2':
case '3':
case '4':
if ( FnType == '0' ){
s = LAllChoices[ 0 ][ OperInfo[ i ][ OPERAND_NAME ] ];
v = LAllChoices[ 1 ][ OperInfo[ i ][ OPERAND_NAME ] ];
t = "^T";
b = "1";
}
else{
s = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
v = LAllChoices[ OperInfo[ i ][ OPERAND_TYPE ] ][ OperInfo[ i ][ OPERAND_NAME ] ];
t = "";
b = "b";
}
if ( j == 1 ){
if ( OperInfo[ i ][ 3 ] == '2' )
s = "\\widehat{"+s+"}"
v = "\\widehat{"+v+"}"
}