// CXSparse/Source/cs_happly: apply a Householder transformation to a vector
// CXSparse, Copyright (c) 2006-2022, Timothy A. Davis. All Rights Reserved.
// SPDX-License-Identifier: LGPL-2.1+
#include "cs.h"
/* apply the ith Householder vector to x */
CS_INT cs_happly (const cs *V, CS_INT i, double beta, CS_ENTRY *x)
{
    CS_INT p, *Vp, *Vi ;
    CS_ENTRY *Vx, tau = 0 ;
    if (!CS_CSC (V) || !x) return (0) ;     /* check inputs */
    Vp = V->p ; Vi = V->i ; Vx = V->x ;
    for (p = Vp [i] ; p < Vp [i+1] ; p++)   /* tau = v'*x */
    {
        tau += CS_CONJ (Vx [p]) * x [Vi [p]] ;
    }
    tau *= beta ;                           /* tau = beta*(v'*x) */
    for (p = Vp [i] ; p < Vp [i+1] ; p++)   /* x = x - v*tau */
    {
        x [Vi [p]] -= Vx [p] * tau ;
    }
    return (1) ;
}