  We consider the one-dimensional Schr\"odinger equation with a potential
satisfying the standard assumptions of the inverse scattering theory and
supported on the half-line $x\ge 0$. For this equation at fixed positive energy
we give explicit formulas for finding the full complex valued reflection
coefficient to the left from appropriate phaseless scattering data measured on
the left, i.e. for $x<0$. Using these formulas and known inverse scattering
results we obtain global uniqueness and reconstruction results for phaseless
inverse scattering in dimension $d=1$.
