tests of (complex op complex)
X = cmplx(3.00000000000000, 4.00000000000000)
X + X = cmplx(6.00000000000000, 8.00000000000000)
X - X = cmplx(0.00000000000000, 0.00000000000000)
X * X = cmplx(-7.00000000000000, 24.0000000000000)
X / X = cmplx(1.00000000000000, 0.00000000000000)
Y = cmplx(-5.00000000000000, 6.00000000000000)
Y + Y = cmplx(-10.0000000000000, 12.0000000000000)
Y - Y = cmplx(0.00000000000000, 0.00000000000000)
Y * Y = cmplx(-11.0000000000000, -60.0000000000000)
Y / Y = cmplx(1.00000000000000, 0.00000000000000)
X + Y = cmplx(-2.00000000000000, 10.0000000000000)
X - Y = cmplx(8.00000000000000, -2.00000000000000)
X * Y = cmplx(-39.0000000000000, -2.00000000000000)
X / Y = cmplx(0.147540983606557, -0.622950819672131)

tests of (imag op imag)
Z = im(4.00000000000000)
Z + Z = im(8.00000000000000)
Z - Z = im(0.00000000000000)
Z * Z = -16.0000000000000
Z / Z = 1.00000000000000

tests of (float op imag)
5.0 + Z = cmplx(5.00000000000000, 4.00000000000000)
5.0 - Z = cmplx(5.00000000000000, -4.00000000000000)
5.0 * Z = im(20.0000000000000)
5.0 / Z = im(-1.25000000000000)

tests of (imag op float)
Z + 5.0 = cmplx(5.00000000000000, 4.00000000000000)
Z - 5.0 = cmplx(-5.00000000000000, 4.00000000000000)
Z * 5.0 = im(20.0000000000000)
Z / 5.0 = im(0.800000000000000)

tests of (complex op imag)
X + Z = cmplx(3.00000000000000, 8.00000000000000)
X - Z = cmplx(3.00000000000000, 0.00000000000000)
X * Z = cmplx(-16.0000000000000, 12.0000000000000)
X / Z = cmplx(1.00000000000000, -0.750000000000000)
Y + Z = cmplx(-5.00000000000000, 10.0000000000000)
Y - Z = cmplx(-5.00000000000000, 2.00000000000000)
Y * Z = cmplx(-24.0000000000000, -20.0000000000000)
Y / Z = cmplx(1.50000000000000, 1.25000000000000)

tests of (imag op complex)
Z + X = cmplx(3.00000000000000, 8.00000000000000)
Z - X = cmplx(-3.00000000000000, 0.00000000000000)
Z * X = cmplx(-16.0000000000000, 12.0000000000000)
Z / X = cmplx(0.640000000000000, 0.480000000000000)
Z + Y = cmplx(-5.00000000000000, 10.0000000000000)
Z - Y = cmplx(5.00000000000000, -2.00000000000000)
Z * Y = cmplx(-24.0000000000000, -20.0000000000000)
Z / Y = cmplx(0.393442622950820, -0.327868852459016)