private static string EuclideanBilinearProductTable(int[] basisBladeIds, Func <int, int, bool> isZeroFunc)
{
var composer = new TableComposer(basisBladeIds.Length, basisBladeIds.Length);
for (var r = 0; r < basisBladeIds.Length; r++)
{
var id1 = basisBladeIds[r];
composer.ColumnsInfo[r].Header = id1.BasisBladeName();
composer.RowsInfo[r].Header = id1.BasisBladeName();
for (var c = 0; c < basisBladeIds.Length; c++)
{
var id2 = basisBladeIds[c];
//var isNegative = MultivectorUtils.ComputeIsNegativeEGp(id1, id2);
var isNegative = FrameUtils.IsNegativeEGp(id1, id2);
var name = isZeroFunc(id1, id2)
? "0"
: ((isNegative ? "-" : "") + (id1 ^ id2).BasisBladeName());
composer.Items[r, c] = name;
}
}
return(composer.ToString());
}
public override string ToString()
{
var tableText = new TableComposer(TargetGaSpaceDimension, TargetGaSpaceDimension);
var basisBladeIds = GMacMathUtils.BasisBladeIDs(TargetVSpaceDimension).ToArray();
foreach (var basisBladeId in basisBladeIds)
{
tableText.ColumnsInfo[basisBladeId].Header = basisBladeId.BasisBladeName();
tableText.RowsInfo[basisBladeId].Header = basisBladeId.BasisBladeName();
}
for (var basisBladeId1 = 0; basisBladeId1 < TargetGaSpaceDimension; basisBladeId1++)
{
for (var basisBladeId2 = 0; basisBladeId2 < TargetGaSpaceDimension; basisBladeId2++)
{
var mv = _basisBladesMaps[basisBladeId1, basisBladeId2];
if (mv != null)
{
tableText.Items[basisBladeId1, basisBladeId2] = mv.ToString();
}
}
}
var text = tableText.ToString();
return(text);
}
private static string InvolutionTables(int[] basisBladeIds)
{
var composer = new TableComposer(basisBladeIds.Length, 3);
composer.ColumnsInfo[0].Header = "Reverse";
composer.ColumnsInfo[1].Header = "Grade Involution";
composer.ColumnsInfo[2].Header = "Clifford Conjugate";
for (var r = 0; r < basisBladeIds.Length; r++)
{
var id = basisBladeIds[r];
composer.RowsInfo[r].Header = id.BasisBladeName();
composer.Items[r, 0] = id.BasisBladeIdHasNegativeReverse() ? "-1" : "+1";
composer.Items[r, 1] = id.BasisBladeIdHasNegativeGradeInv() ? "-1" : "+1";
composer.Items[r, 2] = id.BasisBladeIdHasNegativeClifConj() ? "-1" : "+1";
}
return(composer.ToString());
}
public override string ToString()
{
var tableText = new TableComposer(TargetGaSpaceDimension, TargetGaSpaceDimension);
var basisBladeIds = GMacMathUtils.BasisBladeIDs(TargetVSpaceDimension).ToArray();
foreach (var basisBladeId in basisBladeIds)
{
tableText.ColumnsInfo[basisBladeId].Header = basisBladeId.BasisBladeName();
tableText.RowsInfo[basisBladeId].Header = basisBladeId.BasisBladeName();
}
foreach (var pair in _basisBladesMaps)
{
tableText.Items[pair.Item1, pair.Item2] =
pair.Item3.ToString();
}
var text = tableText.ToString();
return(text);
}