SUBROUTINE CLARGV( N, X, INCX, Y, INCY, C, INCC ) * * -- LAPACK auxiliary routine (version 2.0) -- * Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., * Courant Institute, Argonne National Lab, and Rice University * February 29, 1992 * * .. Scalar Arguments .. INTEGER INCC, INCX, INCY, N * .. * .. Array Arguments .. REAL C( * ) COMPLEX X( * ), Y( * ) * .. * * Purpose * ======= * * CLARGV generates a vector of complex plane rotations with real * cosines, determined by elements of the complex vectors x and y. * For i = 1,2,...,n * * ( c(i) s(i) ) ( x(i) ) = ( a(i) ) * ( -conjg(s(i)) c(i) ) ( y(i) ) = ( 0 ) * * Arguments * ========= * * N (input) INTEGER * The number of plane rotations to be generated. * * X (input/output) COMPLEX array, dimension (1+(N-1)*INCX) * On entry, the vector x. * On exit, x(i) is overwritten by a(i), for i = 1,...,n. * * INCX (input) INTEGER * The increment between elements of X. INCX > 0. * * Y (input/output) COMPLEX array, dimension (1+(N-1)*INCY) * On entry, the vector y. * On exit, the sines of the plane rotations. * * INCY (input) INTEGER * The increment between elements of Y. INCY > 0. * * C (output) REAL array, dimension (1+(N-1)*INCC) * The cosines of the plane rotations. * * INCC (input) INTEGER * The increment between elements of C. INCC > 0. * * ===================================================================== * * .. Parameters .. REAL ZERO, ONE PARAMETER ( ZERO = 0.0E+0, ONE = 1.0E+0 ) * .. * .. Local Scalars .. INTEGER I, IC, IX, IY REAL ABSX, ABSY, TT, W COMPLEX T, XI, YI * .. * .. Intrinsic Functions .. INTRINSIC ABS, CONJG, MAX, SQRT * .. * .. Executable Statements .. * IX = 1 IY = 1 IC = 1 DO 10 I = 1, N XI = X( IX ) YI = Y( IY ) ABSX = ABS( XI ) IF( ABSX.EQ.ZERO ) THEN C( IC ) = ZERO Y( IY ) = ONE X( IX ) = YI ELSE ABSY = ABS( YI ) W = MAX( ABSX, ABSY ) T = XI / ABSX ABSX = ABSX / W ABSY = ABSY / W TT = SQRT( ABSX*ABSX+ABSY*ABSY ) C( IC ) = ABSX / TT Y( IY ) = ( T*CONJG( YI ) ) / ( W*TT ) X( IX ) = T*( W*TT ) END IF IX = IX + INCX IY = IY + INCY IC = IC + INCC 10 CONTINUE RETURN * * End of CLARGV * END