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[gatest] Calculate correct sign for duals
I was aware in the beginning that the signs were probably incorrect, but I had left them as I wasn't sure how they worked. Thanks to enki (bivector community), I was pointed in the right direction for getting the calculations right: the product of a basis blade with its dual (x !x) must product the positive pseudo-scalar.
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1 changed files with 5 additions and 3 deletions
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@ -263,9 +263,11 @@ static MultiVector *new_mv (Algebra *algebra, BasisLayout *layout)
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}
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double lc = components[i];
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BasisBlade *lb = [layout bladeAt:i];
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unsigned mask = [lb mask] ^ dual_mask;
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double s = 1;
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int ind = [layout bladeIndex:mask];
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unsigned lb_mask = [lb mask];
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unsigned mask = lb_mask ^ dual_mask;
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double ls = [lb scale];
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double s = count_flips (lb_mask, mask) & 1 ? -1 : 1;
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int ind = [dual.layout bladeIndex:mask];
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dual.components[ind] += s * lc;
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}
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return dual;
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