Exact Cartesian methods
Exact generator and exact expression values arise from named exact generators such as ~{i} and expressions built from them. Both runtime object types share these methods.
Method reference
| Full syntax | Result | Meaning |
|---|---|---|
value.Conjugate() |
exact value | Conjugate an exact Cartesian complex expression. |
value.Re() |
exact value | Return the real component. |
value.Im() |
exact value | Return the imaginary component. |
value.NormSquared() |
exact value | Return Re(value)^2 + Im(value)^2. |
value.Cayley() |
Cayley |
Convert Cartesian form to exact Cayley magnitude/direction coordinates. |
value.CheckTraits() |
1 \| null |
Validate attached semantic traits. |
Checked examples
z := 3 + 4~{i};
z.Conjugate() ##@ == 3 - 4~{i};
z.Re() ##@ == 3;
z.Im() ##@ == 4;
z.NormSquared() ##@ == 25;
z.Cayley().Cartesian() ##@ == z;
z.CheckTraits() ##@ == 1;These operations are exact. No floating approximation is selected when converting between Cartesian and Cayley forms.