Anonymous user
Conjugate transpose: Difference between revisions
Updated second D entry
(Updated second D entry) |
|||
Line 457:
// alias CM(T) = Complex!T[][]; // Not yet useful.
auto conjugateTranspose(T)(in Complex!T[][] m) pure nothrow /*
if (!hasIndirections!T) {
return iota(m[0].length)
Line 465:
}
T[][] matMul(T)(immutable T[][] A, immutable T[][] B) pure nothrow /*@safe*/ {
immutable Bt = B[0].length.iota.map!(i=> B.transversal(i).array)
.array;
Line 474:
/// some bits of mantissa.
bool areEqual(T)(in Complex!T[][][] matrices, in size_t nBits=20)
pure nothrow /*@safe*/ {
static bool allSame(U)(in U[] v) pure nothrow @nogc @safe {
return v[1 .. $].all!(c => c == v[0]);
}
bool allNearSame(in Complex!T[] v) pure nothrow @nogc @safe {
auto v0 = v[0].Complex!T; // To avoid another cast.
return v[1 .. $].all!(c=> feqrel(v0.re, cast()c.re) >= nBits &&
Line 499:
bool isHermitian(T)(in Complex!T[][] m, in Complex!T[][] ct)
pure nothrow /*@safe*/ {
return [m, ct].areEqual;
}
bool isNormal(T)(immutable Complex!T[][] m, immutable Complex!T[][] ct)
pure nothrow /*@safe*/ {
return [matMul(m, ct), matMul(ct, m)].areEqual;
}
auto complexIdentitymatrix(in size_t side) pure nothrow /*@safe*/ {
return side.iota
.map!((in r) => side.iota.map!(c => complex(r == c)).array)
Line 515:
bool isUnitary(T)(immutable Complex!T[][] m, immutable Complex!T[][] ct)
pure nothrow /*@safe*/ {
immutable mct = matMul(m, ct);
immutable ident = mct.length.complexIdentitymatrix;
| |||