#include "blaswrap.h"
#include "f2c.h"

/* Subroutine */ int csytrs_(char *uplo, integer *n, integer *nrhs, complex *
	a, integer *lda, integer *ipiv, complex *b, integer *ldb, integer *
	info)
{
/*  -- LAPACK routine (version 3.1) --   
       Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..   
       November 2006   


    Purpose   
    =======   

    CSYTRS solves a system of linear equations A*X = B with a complex   
    symmetric matrix A using the factorization A = U*D*U**T or   
    A = L*D*L**T computed by CSYTRF.   

    Arguments   
    =========   

    UPLO    (input) CHARACTER*1   
            Specifies whether the details of the factorization are stored   
            as an upper or lower triangular matrix.   
            = 'U':  Upper triangular, form is A = U*D*U**T;   
            = 'L':  Lower triangular, form is A = L*D*L**T.   

    N       (input) INTEGER   
            The order of the matrix A.  N >= 0.   

    NRHS    (input) INTEGER   
            The number of right hand sides, i.e., the number of columns   
            of the matrix B.  NRHS >= 0.   

    A       (input) COMPLEX array, dimension (LDA,N)   
            The block diagonal matrix D and the multipliers used to   
            obtain the factor U or L as computed by CSYTRF.   

    LDA     (input) INTEGER   
            The leading dimension of the array A.  LDA >= max(1,N).   

    IPIV    (input) INTEGER array, dimension (N)   
            Details of the interchanges and the block structure of D   
            as determined by CSYTRF.   

    B       (input/output) COMPLEX array, dimension (LDB,NRHS)   
            On entry, the right hand side matrix B.   
            On exit, the solution matrix X.   

    LDB     (input) INTEGER   
            The leading dimension of the array B.  LDB >= max(1,N).   

    INFO    (output) INTEGER   
            = 0:  successful exit   
            < 0:  if INFO = -i, the i-th argument had an illegal value   

    =====================================================================   


       Parameter adjustments */
    /* Table of constant values */
    static complex c_b1 = {1.f,0.f};
    static integer c__1 = 1;
    
    /* System generated locals */
    integer a_dim1, a_offset, b_dim1, b_offset, i__1, i__2;
    complex q__1, q__2, q__3;
    /* Builtin functions */
    void c_div(complex *, complex *, complex *);
    /* Local variables */
    static integer j, k;
    static complex ak, bk;
    static integer kp;
    static complex akm1, bkm1, akm1k;
    extern /* Subroutine */ int cscal_(integer *, complex *, complex *, 
	    integer *);
    extern logical lsame_(char *, char *);
    static complex denom;
    extern /* Subroutine */ int cgemv_(char *, integer *, integer *, complex *
, complex *, integer *, complex *, integer *, complex *, complex *
, integer *), cgeru_(integer *, integer *, complex *, 
	    complex *, integer *, complex *, integer *, complex *, integer *),
	     cswap_(integer *, complex *, integer *, complex *, integer *);
    static logical upper;
    extern /* Subroutine */ int xerbla_(char *, integer *);


    a_dim1 = *lda;
    a_offset = 1 + a_dim1;
    a -= a_offset;
    --ipiv;
    b_dim1 = *ldb;
    b_offset = 1 + b_dim1;
    b -= b_offset;

    /* Function Body */
    *info = 0;
    upper = lsame_(uplo, "U");
    if (! upper && ! lsame_(uplo, "L")) {
	*info = -1;
    } else if (*n < 0) {
	*info = -2;
    } else if (*nrhs < 0) {
	*info = -3;
    } else if (*lda < max(1,*n)) {
	*info = -5;
    } else if (*ldb < max(1,*n)) {
	*info = -8;
    }
    if (*info != 0) {
	i__1 = -(*info);
	xerbla_("CSYTRS", &i__1);
	return 0;
    }

/*     Quick return if possible */

    if (*n == 0 || *nrhs == 0) {
	return 0;
    }

    if (upper) {

/*        Solve A*X = B, where A = U*D*U'.   

          First solve U*D*X = B, overwriting B with X.   

          K is the main loop index, decreasing from N to 1 in steps of   
          1 or 2, depending on the size of the diagonal blocks. */

	k = *n;
L10:

/*        If K < 1, exit from loop. */

	if (k < 1) {
	    goto L30;
	}

	if (ipiv[k] > 0) {

/*           1 x 1 diagonal block   

             Interchange rows K and IPIV(K). */

	    kp = ipiv[k];
	    if (kp != k) {
		cswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
	    }

/*           Multiply by inv(U(K)), where U(K) is the transformation   
             stored in column K of A. */

	    i__1 = k - 1;
	    q__1.r = -1.f, q__1.i = -0.f;
	    cgeru_(&i__1, nrhs, &q__1, &a[k * a_dim1 + 1], &c__1, &b[k + 
		    b_dim1], ldb, &b[b_dim1 + 1], ldb);

/*           Multiply by the inverse of the diagonal block. */

	    c_div(&q__1, &c_b1, &a[k + k * a_dim1]);
	    cscal_(nrhs, &q__1, &b[k + b_dim1], ldb);
	    --k;
	} else {

/*           2 x 2 diagonal block   

             Interchange rows K-1 and -IPIV(K). */

	    kp = -ipiv[k];
	    if (kp != k - 1) {
		cswap_(nrhs, &b[k - 1 + b_dim1], ldb, &b[kp + b_dim1], ldb);
	    }

/*           Multiply by inv(U(K)), where U(K) is the transformation   
             stored in columns K-1 and K of A. */

	    i__1 = k - 2;
	    q__1.r = -1.f, q__1.i = -0.f;
	    cgeru_(&i__1, nrhs, &q__1, &a[k * a_dim1 + 1], &c__1, &b[k + 
		    b_dim1], ldb, &b[b_dim1 + 1], ldb);
	    i__1 = k - 2;
	    q__1.r = -1.f, q__1.i = -0.f;
	    cgeru_(&i__1, nrhs, &q__1, &a[(k - 1) * a_dim1 + 1], &c__1, &b[k 
		    - 1 + b_dim1], ldb, &b[b_dim1 + 1], ldb);

/*           Multiply by the inverse of the diagonal block. */

	    i__1 = k - 1 + k * a_dim1;
	    akm1k.r = a[i__1].r, akm1k.i = a[i__1].i;
	    c_div(&q__1, &a[k - 1 + (k - 1) * a_dim1], &akm1k);
	    akm1.r = q__1.r, akm1.i = q__1.i;
	    c_div(&q__1, &a[k + k * a_dim1], &akm1k);
	    ak.r = q__1.r, ak.i = q__1.i;
	    q__2.r = akm1.r * ak.r - akm1.i * ak.i, q__2.i = akm1.r * ak.i + 
		    akm1.i * ak.r;
	    q__1.r = q__2.r - 1.f, q__1.i = q__2.i - 0.f;
	    denom.r = q__1.r, denom.i = q__1.i;
	    i__1 = *nrhs;
	    for (j = 1; j <= i__1; ++j) {
		c_div(&q__1, &b[k - 1 + j * b_dim1], &akm1k);
		bkm1.r = q__1.r, bkm1.i = q__1.i;
		c_div(&q__1, &b[k + j * b_dim1], &akm1k);
		bk.r = q__1.r, bk.i = q__1.i;
		i__2 = k - 1 + j * b_dim1;
		q__3.r = ak.r * bkm1.r - ak.i * bkm1.i, q__3.i = ak.r * 
			bkm1.i + ak.i * bkm1.r;
		q__2.r = q__3.r - bk.r, q__2.i = q__3.i - bk.i;
		c_div(&q__1, &q__2, &denom);
		b[i__2].r = q__1.r, b[i__2].i = q__1.i;
		i__2 = k + j * b_dim1;
		q__3.r = akm1.r * bk.r - akm1.i * bk.i, q__3.i = akm1.r * 
			bk.i + akm1.i * bk.r;
		q__2.r = q__3.r - bkm1.r, q__2.i = q__3.i - bkm1.i;
		c_div(&q__1, &q__2, &denom);
		b[i__2].r = q__1.r, b[i__2].i = q__1.i;
/* L20: */
	    }
	    k += -2;
	}

	goto L10;
L30:

/*        Next solve U'*X = B, overwriting B with X.   

          K is the main loop index, increasing from 1 to N in steps of   
          1 or 2, depending on the size of the diagonal blocks. */

	k = 1;
L40:

/*        If K > N, exit from loop. */

	if (k > *n) {
	    goto L50;
	}

	if (ipiv[k] > 0) {

/*           1 x 1 diagonal block   

             Multiply by inv(U'(K)), where U(K) is the transformation   
             stored in column K of A. */

	    i__1 = k - 1;
	    q__1.r = -1.f, q__1.i = -0.f;
	    cgemv_("Transpose", &i__1, nrhs, &q__1, &b[b_offset], ldb, &a[k * 
		    a_dim1 + 1], &c__1, &c_b1, &b[k + b_dim1], ldb)
		    ;

/*           Interchange rows K and IPIV(K). */

	    kp = ipiv[k];
	    if (kp != k) {
		cswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
	    }
	    ++k;
	} else {

/*           2 x 2 diagonal block   

             Multiply by inv(U'(K+1)), where U(K+1) is the transformation   
             stored in columns K and K+1 of A. */

	    i__1 = k - 1;
	    q__1.r = -1.f, q__1.i = -0.f;
	    cgemv_("Transpose", &i__1, nrhs, &q__1, &b[b_offset], ldb, &a[k * 
		    a_dim1 + 1], &c__1, &c_b1, &b[k + b_dim1], ldb)
		    ;
	    i__1 = k - 1;
	    q__1.r = -1.f, q__1.i = -0.f;
	    cgemv_("Transpose", &i__1, nrhs, &q__1, &b[b_offset], ldb, &a[(k 
		    + 1) * a_dim1 + 1], &c__1, &c_b1, &b[k + 1 + b_dim1], ldb);

/*           Interchange rows K and -IPIV(K). */

	    kp = -ipiv[k];
	    if (kp != k) {
		cswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
	    }
	    k += 2;
	}

	goto L40;
L50:

	;
    } else {

/*        Solve A*X = B, where A = L*D*L'.   

          First solve L*D*X = B, overwriting B with X.   

          K is the main loop index, increasing from 1 to N in steps of   
          1 or 2, depending on the size of the diagonal blocks. */

	k = 1;
L60:

/*        If K > N, exit from loop. */

	if (k > *n) {
	    goto L80;
	}

	if (ipiv[k] > 0) {

/*           1 x 1 diagonal block   

             Interchange rows K and IPIV(K). */

	    kp = ipiv[k];
	    if (kp != k) {
		cswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
	    }

/*           Multiply by inv(L(K)), where L(K) is the transformation   
             stored in column K of A. */

	    if (k < *n) {
		i__1 = *n - k;
		q__1.r = -1.f, q__1.i = -0.f;
		cgeru_(&i__1, nrhs, &q__1, &a[k + 1 + k * a_dim1], &c__1, &b[
			k + b_dim1], ldb, &b[k + 1 + b_dim1], ldb);
	    }

/*           Multiply by the inverse of the diagonal block. */

	    c_div(&q__1, &c_b1, &a[k + k * a_dim1]);
	    cscal_(nrhs, &q__1, &b[k + b_dim1], ldb);
	    ++k;
	} else {

/*           2 x 2 diagonal block   

             Interchange rows K+1 and -IPIV(K). */

	    kp = -ipiv[k];
	    if (kp != k + 1) {
		cswap_(nrhs, &b[k + 1 + b_dim1], ldb, &b[kp + b_dim1], ldb);
	    }

/*           Multiply by inv(L(K)), where L(K) is the transformation   
             stored in columns K and K+1 of A. */

	    if (k < *n - 1) {
		i__1 = *n - k - 1;
		q__1.r = -1.f, q__1.i = -0.f;
		cgeru_(&i__1, nrhs, &q__1, &a[k + 2 + k * a_dim1], &c__1, &b[
			k + b_dim1], ldb, &b[k + 2 + b_dim1], ldb);
		i__1 = *n - k - 1;
		q__1.r = -1.f, q__1.i = -0.f;
		cgeru_(&i__1, nrhs, &q__1, &a[k + 2 + (k + 1) * a_dim1], &
			c__1, &b[k + 1 + b_dim1], ldb, &b[k + 2 + b_dim1], 
			ldb);
	    }

/*           Multiply by the inverse of the diagonal block. */

	    i__1 = k + 1 + k * a_dim1;
	    akm1k.r = a[i__1].r, akm1k.i = a[i__1].i;
	    c_div(&q__1, &a[k + k * a_dim1], &akm1k);
	    akm1.r = q__1.r, akm1.i = q__1.i;
	    c_div(&q__1, &a[k + 1 + (k + 1) * a_dim1], &akm1k);
	    ak.r = q__1.r, ak.i = q__1.i;
	    q__2.r = akm1.r * ak.r - akm1.i * ak.i, q__2.i = akm1.r * ak.i + 
		    akm1.i * ak.r;
	    q__1.r = q__2.r - 1.f, q__1.i = q__2.i - 0.f;
	    denom.r = q__1.r, denom.i = q__1.i;
	    i__1 = *nrhs;
	    for (j = 1; j <= i__1; ++j) {
		c_div(&q__1, &b[k + j * b_dim1], &akm1k);
		bkm1.r = q__1.r, bkm1.i = q__1.i;
		c_div(&q__1, &b[k + 1 + j * b_dim1], &akm1k);
		bk.r = q__1.r, bk.i = q__1.i;
		i__2 = k + j * b_dim1;
		q__3.r = ak.r * bkm1.r - ak.i * bkm1.i, q__3.i = ak.r * 
			bkm1.i + ak.i * bkm1.r;
		q__2.r = q__3.r - bk.r, q__2.i = q__3.i - bk.i;
		c_div(&q__1, &q__2, &denom);
		b[i__2].r = q__1.r, b[i__2].i = q__1.i;
		i__2 = k + 1 + j * b_dim1;
		q__3.r = akm1.r * bk.r - akm1.i * bk.i, q__3.i = akm1.r * 
			bk.i + akm1.i * bk.r;
		q__2.r = q__3.r - bkm1.r, q__2.i = q__3.i - bkm1.i;
		c_div(&q__1, &q__2, &denom);
		b[i__2].r = q__1.r, b[i__2].i = q__1.i;
/* L70: */
	    }
	    k += 2;
	}

	goto L60;
L80:

/*        Next solve L'*X = B, overwriting B with X.   

          K is the main loop index, decreasing from N to 1 in steps of   
          1 or 2, depending on the size of the diagonal blocks. */

	k = *n;
L90:

/*        If K < 1, exit from loop. */

	if (k < 1) {
	    goto L100;
	}

	if (ipiv[k] > 0) {

/*           1 x 1 diagonal block   

             Multiply by inv(L'(K)), where L(K) is the transformation   
             stored in column K of A. */

	    if (k < *n) {
		i__1 = *n - k;
		q__1.r = -1.f, q__1.i = -0.f;
		cgemv_("Transpose", &i__1, nrhs, &q__1, &b[k + 1 + b_dim1], 
			ldb, &a[k + 1 + k * a_dim1], &c__1, &c_b1, &b[k + 
			b_dim1], ldb);
	    }

/*           Interchange rows K and IPIV(K). */

	    kp = ipiv[k];
	    if (kp != k) {
		cswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
	    }
	    --k;
	} else {

/*           2 x 2 diagonal block   

             Multiply by inv(L'(K-1)), where L(K-1) is the transformation   
             stored in columns K-1 and K of A. */

	    if (k < *n) {
		i__1 = *n - k;
		q__1.r = -1.f, q__1.i = -0.f;
		cgemv_("Transpose", &i__1, nrhs, &q__1, &b[k + 1 + b_dim1], 
			ldb, &a[k + 1 + k * a_dim1], &c__1, &c_b1, &b[k + 
			b_dim1], ldb);
		i__1 = *n - k;
		q__1.r = -1.f, q__1.i = -0.f;
		cgemv_("Transpose", &i__1, nrhs, &q__1, &b[k + 1 + b_dim1], 
			ldb, &a[k + 1 + (k - 1) * a_dim1], &c__1, &c_b1, &b[k 
			- 1 + b_dim1], ldb);
	    }

/*           Interchange rows K and -IPIV(K). */

	    kp = -ipiv[k];
	    if (kp != k) {
		cswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
	    }
	    k += -2;
	}

	goto L90;
L100:
	;
    }

    return 0;

/*     End of CSYTRS */

} /* csytrs_ */