def cartesian_tau(lib, xx, xy, xz, xt, yx, yy, yz, yt, zx, zy, zz, zt, x, y, z,
tau):
tee = t.xy_z_tau(lib, x, y, z, tau)
xp = xx * x + xy * y + xz * z + xt * tee
yp = yx * x + yy * y + yz * z + yt * tee
zp = zx * x + zy * y + zz * z + zt * tee
return (xp, yp, zp, tau)
def xy_z_tau(lib, gamma, x, y, z, tau):
gam = lib.absolute(gamma)
bgam = lib.copysign(lib.sqrt(gam**2 - 1), gamma)
exx = x
why = y
zee = z
tee = t.xy_z_tau(lib, x, y, z, tau)
return (exx, gam * why + bgam * tee, zee, tau)
def xy_z_tau(lib, beta, x, y, z, tau):
gam = (1 - beta**2)**-0.5
bgam = beta * gam
exx = x
why = y
zee = z
tee = t.xy_z_tau(lib, x, y, z, tau)
return (exx, gam * why + bgam * tee, zee, tau)
def xy_z_tau(lib, x, y, z, tau):
return xy_z_t(lib, x, y, z, t.xy_z_tau(lib, x, y, z, tau))
def xy_z_tau(lib, x, y, z, tau):
return lib.nan_to_num(mag.xy_z(lib, x, y, z) / t.xy_z_tau(lib, x, y, z, tau), nan=0)
def xy_z_tau(lib, beta, x, y, z, tau):
gam = (1 - beta**2)**-0.5
bgam = beta * gam
zee = z
tee = t.xy_z_tau(lib, x, y, z, tau)
return (x, y, gam * zee + bgam * tee, tau)
def xy_z_tau(lib, gamma, x, y, z, tau):
gam = lib.absolute(gamma)
bgam = lib.copysign(lib.sqrt(gam**2 - 1), gamma)
zee = z
tee = t.xy_z_tau(lib, x, y, z, tau)
return (x, y, gam * zee + bgam * tee, tau)
def xy_z_tau(lib, x, y, z, tau):
return lib.nan_to_num(t.xy_z_tau(lib, x, y, z, tau) / tau, nan=lib.inf)