text: #include <math.h>
  #include <stdlib.h>
  #include <string.h>
  #include <stdio.h>
  #include <complex.h>
  #ifdef complex
  #undef complex
  #endif
  #ifdef I
  #undef I
  #endif
  
  #if defined(_WIN64)
  typedef long long BLASLONG;
  typedef unsigned long long BLASULONG;
  #else
  typedef long BLASLONG;
  typedef unsigned long BLASULONG;
  #endif
  
  #ifdef LAPACK_ILP64
  typedef BLASLONG blasint;
  #if defined(_WIN64)
  #define blasabs(x) llabs(x)
  #else
  #define blasabs(x) labs(x)
  #endif
  #else
  typedef int blasint;
  #define blasabs(x) abs(x)
  #endif
  
  typedef blasint integer;
  
  typedef unsigned int uinteger;
  typedef char *address;
  typedef short int shortint;
  typedef float real;
  typedef double doublereal;
  typedef struct { real r, i; } complex;
  typedef struct { doublereal r, i; } doublecomplex;
  #ifdef _MSC_VER
  static inline _Fcomplex Cf(complex *z) {_Fcomplex zz={z->r , z->i}; return zz;}
  static inline _Dcomplex Cd(doublecomplex *z) {_Dcomplex zz={z->r , z->i};return zz;}
  static inline _Fcomplex * _pCf(complex *z) {return (_Fcomplex*)z;}
  static inline _Dcomplex * _pCd(doublecomplex *z) {return (_Dcomplex*)z;}
  #else
  static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
  static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
  static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
  static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
  #endif
  #define pCf(z) (*_pCf(z))
  #define pCd(z) (*_pCd(z))
  typedef int logical;
  typedef short int shortlogical;
  typedef char logical1;
  typedef char integer1;
  
  #define TRUE_ (1)
  #define FALSE_ (0)
  
  /* Extern is for use with -E */
  #ifndef Extern
  #define Extern extern
  #endif
  
  /* I/O stuff */
  
  typedef int flag;
  typedef int ftnlen;
  typedef int ftnint;
  
  /*external read, write*/
  typedef struct
  {	flag cierr;
  	ftnint ciunit;
  	flag ciend;
  	char *cifmt;
  	ftnint cirec;
  } cilist;
  
  /*internal read, write*/
  typedef struct
  {	flag icierr;
  	char *iciunit;
  	flag iciend;
  	char *icifmt;
  	ftnint icirlen;
  	ftnint icirnum;
  } icilist;
  
  /*open*/
  typedef struct
  {	flag oerr;
  	ftnint ounit;
  	char *ofnm;
  	ftnlen ofnmlen;
  	char *osta;
  	char *oacc;
  	char *ofm;
  	ftnint orl;
  	char *oblnk;
  } olist;
  
  /*close*/
  typedef struct
  {	flag cerr;
  	ftnint cunit;
  	char *csta;
  } cllist;
  
  /*rewind, backspace, endfile*/
  typedef struct
  {	flag aerr;
  	ftnint aunit;
  } alist;
  
  /* inquire */
  typedef struct
  {	flag inerr;
  	ftnint inunit;
  	char *infile;
  	ftnlen infilen;
  	ftnint	*inex;	/*parameters in standard's order*/
  	ftnint	*inopen;
  	ftnint	*innum;
  	ftnint	*innamed;
  	char	*inname;
  	ftnlen	innamlen;
  	char	*inacc;
  	ftnlen	inacclen;
  	char	*inseq;
  	ftnlen	inseqlen;
  	char 	*indir;
  	ftnlen	indirlen;
  	char	*infmt;
  	ftnlen	infmtlen;
  	char	*inform;
  	ftnint	informlen;
  	char	*inunf;
  	ftnlen	inunflen;
  	ftnint	*inrecl;
  	ftnint	*innrec;
  	char	*inblank;
  	ftnlen	inblanklen;
  } inlist;
  
  #define VOID void
  
  union Multitype {	/* for multiple entry points */
  	integer1 g;
  	shortint h;
  	integer i;
  	/* longint j; */
  	real r;
  	doublereal d;
  	complex c;
  	doublecomplex z;
  	};
  
  typedef union Multitype Multitype;
  
  struct Vardesc {	/* for Namelist */
  	char *name;
  	char *addr;
  	ftnlen *dims;
  	int  type;
  	};
  typedef struct Vardesc Vardesc;
  
  struct Namelist {
  	char *name;
  	Vardesc **vars;
  	int nvars;
  	};
  typedef struct Namelist Namelist;
  
  #define abs(x) ((x) >= 0 ? (x) : -(x))
  #define dabs(x) (fabs(x))
  #define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
  #define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
  #define dmin(a,b) (f2cmin(a,b))
  #define dmax(a,b) (f2cmax(a,b))
  #define bit_test(a,b)	((a) >> (b) & 1)
  #define bit_clear(a,b)	((a) & ~((uinteger)1 << (b)))
  #define bit_set(a,b)	((a) |  ((uinteger)1 << (b)))
  
  #define abort_() { sig_die("Fortran abort routine called", 1); }
  #define c_abs(z) (cabsf(Cf(z)))
  #define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
  #ifdef _MSC_VER
  #define c_div(c, a, b) {Cf(c)._Val[0] = (Cf(a)._Val[0]/Cf(b)._Val[0]); Cf(c)._Val[1]=(Cf(a)._Val[1]/Cf(b)._Val[1]);}
  #define z_div(c, a, b) {Cd(c)._Val[0] = (Cd(a)._Val[0]/Cd(b)._Val[0]); Cd(c)._Val[1]=(Cd(a)._Val[1]/Cd(b)._Val[1]);}
  #else
  #define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
  #define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
  #endif
  #define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
  #define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
  #define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
  //#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
  #define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
  #define d_abs(x) (fabs(*(x)))
  #define d_acos(x) (acos(*(x)))
  #define d_asin(x) (asin(*(x)))
  #define d_atan(x) (atan(*(x)))
  #define d_atn2(x, y) (atan2(*(x),*(y)))
  #define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
  #define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
  #define d_cos(x) (cos(*(x)))
  #define d_cosh(x) (cosh(*(x)))
  #define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
  #define d_exp(x) (exp(*(x)))
  #define d_imag(z) (cimag(Cd(z)))
  #define r_imag(z) (cimagf(Cf(z)))
  #define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  #define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  #define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  #define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  #define d_log(x) (log(*(x)))
  #define d_mod(x, y) (fmod(*(x), *(y)))
  #define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
  #define d_nint(x) u_nint(*(x))
  #define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
  #define d_sign(a,b) u_sign(*(a),*(b))
  #define r_sign(a,b) u_sign(*(a),*(b))
  #define d_sin(x) (sin(*(x)))
  #define d_sinh(x) (sinh(*(x)))
  #define d_sqrt(x) (sqrt(*(x)))
  #define d_tan(x) (tan(*(x)))
  #define d_tanh(x) (tanh(*(x)))
  #define i_abs(x) abs(*(x))
  #define i_dnnt(x) ((integer)u_nint(*(x)))
  #define i_len(s, n) (n)
  #define i_nint(x) ((integer)u_nint(*(x)))
  #define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
  #define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
  #define pow_si(B,E) spow_ui(*(B),*(E))
  #define pow_ri(B,E) spow_ui(*(B),*(E))
  #define pow_di(B,E) dpow_ui(*(B),*(E))
  #define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
  #define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
  #define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
  #define s_cat(lpp, rpp, rnp, np, llp) { 	ftnlen i, nc, ll; char *f__rp, *lp; 	ll = (llp); lp = (lpp); 	for(i=0; i < (int)*(np); ++i) {         	nc = ll; 	        if((rnp)[i] < nc) nc = (rnp)[i]; 	        ll -= nc;         	f__rp = (rpp)[i]; 	        while(--nc >= 0) *lp++ = *(f__rp)++;         } 	while(--ll >= 0) *lp++ = ' '; }
  #define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
  #define s_copy(A,B,C,D) { int __i,__m; for (__i=0, __m=f2cmin((C),(D)); __i<__m && (B)[__i] != 0; ++__i) (A)[__i] = (B)[__i]; }
  #define sig_die(s, kill) { exit(1); }
  #define s_stop(s, n) {exit(0);}
  static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
  #define z_abs(z) (cabs(Cd(z)))
  #define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
  #define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
  #define myexit_() break;
  #define mycycle_() continue;
  #define myceiling_(w) {ceil(w)}
  #define myhuge_(w) {HUGE_VAL}
  //#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
  #define mymaxloc_(w,s,e,n) {dmaxloc_(w,*(s),*(e),n)}
  
  /* procedure parameter types for -A and -C++ */
  
  #define F2C_proc_par_types 1
  #ifdef __cplusplus
  typedef logical (*L_fp)(...);
  #else
  typedef logical (*L_fp)();
  #endif
  
  static float spow_ui(float x, integer n) {
  	float pow=1.0; unsigned long int u;
  	if(n != 0) {
  		if(n < 0) n = -n, x = 1/x;
  		for(u = n; ; ) {
  			if(u & 01) pow *= x;
  			if(u >>= 1) x *= x;
  			else break;
  		}
  	}
  	return pow;
  }
  static double dpow_ui(double x, integer n) {
  	double pow=1.0; unsigned long int u;
  	if(n != 0) {
  		if(n < 0) n = -n, x = 1/x;
  		for(u = n; ; ) {
  			if(u & 01) pow *= x;
  			if(u >>= 1) x *= x;
  			else break;
  		}
  	}
  	return pow;
  }
  #ifdef _MSC_VER
  static _Fcomplex cpow_ui(complex x, integer n) {
  	complex pow={1.0,0.0}; unsigned long int u;
  		if(n != 0) {
  		if(n < 0) n = -n, x.r = 1/x.r, x.i=1/x.i;
  		for(u = n; ; ) {
  			if(u & 01) pow.r *= x.r, pow.i *= x.i;
  			if(u >>= 1) x.r *= x.r, x.i *= x.i;
  			else break;
  		}
  	}
  	_Fcomplex p={pow.r, pow.i};
  	return p;
  }
  #else
  static _Complex float cpow_ui(_Complex float x, integer n) {
  	_Complex float pow=1.0; unsigned long int u;
  	if(n != 0) {
  		if(n < 0) n = -n, x = 1/x;
  		for(u = n; ; ) {
  			if(u & 01) pow *= x;
  			if(u >>= 1) x *= x;
  			else break;
  		}
  	}
  	return pow;
  }
  #endif
  #ifdef _MSC_VER
  static _Dcomplex zpow_ui(_Dcomplex x, integer n) {
  	_Dcomplex pow={1.0,0.0}; unsigned long int u;
  	if(n != 0) {
  		if(n < 0) n = -n, x._Val[0] = 1/x._Val[0], x._Val[1] =1/x._Val[1];
  		for(u = n; ; ) {
  			if(u & 01) pow._Val[0] *= x._Val[0], pow._Val[1] *= x._Val[1];
  			if(u >>= 1) x._Val[0] *= x._Val[0], x._Val[1] *= x._Val[1];
  			else break;
  		}
  	}
  	_Dcomplex p = {pow._Val[0], pow._Val[1]};
  	return p;
  }
  #else
  static _Complex double zpow_ui(_Complex double x, integer n) {
  	_Complex double pow=1.0; unsigned long int u;
  	if(n != 0) {
  		if(n < 0) n = -n, x = 1/x;
  		for(u = n; ; ) {
  			if(u & 01) pow *= x;
  			if(u >>= 1) x *= x;
  			else break;
  		}
  	}
  	return pow;
  }
  #endif
  static integer pow_ii(integer x, integer n) {
  	integer pow; unsigned long int u;
  	if (n <= 0) {
  		if (n == 0 || x == 1) pow = 1;
  		else if (x != -1) pow = x == 0 ? 1/x : 0;
  		else n = -n;
  	}
  	if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
  		u = n;
  		for(pow = 1; ; ) {
  			if(u & 01) pow *= x;
  			if(u >>= 1) x *= x;
  			else break;
  		}
  	}
  	return pow;
  }
  static integer dmaxloc_(double *w, integer s, integer e, integer *n)
  {
  	double m; integer i, mi;
  	for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  		if (w[i-1]>m) mi=i ,m=w[i-1];
  	return mi-s+1;
  }
  static integer smaxloc_(float *w, integer s, integer e, integer *n)
  {
  	float m; integer i, mi;
  	for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  		if (w[i-1]>m) mi=i ,m=w[i-1];
  	return mi-s+1;
  }
  static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  	integer n = *n_, incx = *incx_, incy = *incy_, i;
  #ifdef _MSC_VER
  	_Fcomplex zdotc = {0.0, 0.0};
  	if (incx == 1 && incy == 1) {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc._Val[0] += conjf(Cf(&x[i]))._Val[0] * Cf(&y[i])._Val[0];
  			zdotc._Val[1] += conjf(Cf(&x[i]))._Val[1] * Cf(&y[i])._Val[1];
  		}
  	} else {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc._Val[0] += conjf(Cf(&x[i*incx]))._Val[0] * Cf(&y[i*incy])._Val[0];
  			zdotc._Val[1] += conjf(Cf(&x[i*incx]))._Val[1] * Cf(&y[i*incy])._Val[1];
  		}
  	}
  	pCf(z) = zdotc;
  }
  #else
  	_Complex float zdotc = 0.0;
  	if (incx == 1 && incy == 1) {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
  		}
  	} else {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
  		}
  	}
  	pCf(z) = zdotc;
  }
  #endif
  static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  	integer n = *n_, incx = *incx_, incy = *incy_, i;
  #ifdef _MSC_VER
  	_Dcomplex zdotc = {0.0, 0.0};
  	if (incx == 1 && incy == 1) {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc._Val[0] += conj(Cd(&x[i]))._Val[0] * Cd(&y[i])._Val[0];
  			zdotc._Val[1] += conj(Cd(&x[i]))._Val[1] * Cd(&y[i])._Val[1];
  		}
  	} else {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc._Val[0] += conj(Cd(&x[i*incx]))._Val[0] * Cd(&y[i*incy])._Val[0];
  			zdotc._Val[1] += conj(Cd(&x[i*incx]))._Val[1] * Cd(&y[i*incy])._Val[1];
  		}
  	}
  	pCd(z) = zdotc;
  }
  #else
  	_Complex double zdotc = 0.0;
  	if (incx == 1 && incy == 1) {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
  		}
  	} else {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
  		}
  	}
  	pCd(z) = zdotc;
  }
  #endif	
  static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  	integer n = *n_, incx = *incx_, incy = *incy_, i;
  #ifdef _MSC_VER
  	_Fcomplex zdotc = {0.0, 0.0};
  	if (incx == 1 && incy == 1) {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc._Val[0] += Cf(&x[i])._Val[0] * Cf(&y[i])._Val[0];
  			zdotc._Val[1] += Cf(&x[i])._Val[1] * Cf(&y[i])._Val[1];
  		}
  	} else {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc._Val[0] += Cf(&x[i*incx])._Val[0] * Cf(&y[i*incy])._Val[0];
  			zdotc._Val[1] += Cf(&x[i*incx])._Val[1] * Cf(&y[i*incy])._Val[1];
  		}
  	}
  	pCf(z) = zdotc;
  }
  #else
  	_Complex float zdotc = 0.0;
  	if (incx == 1 && incy == 1) {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc += Cf(&x[i]) * Cf(&y[i]);
  		}
  	} else {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
  		}
  	}
  	pCf(z) = zdotc;
  }
  #endif
  static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  	integer n = *n_, incx = *incx_, incy = *incy_, i;
  #ifdef _MSC_VER
  	_Dcomplex zdotc = {0.0, 0.0};
  	if (incx == 1 && incy == 1) {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc._Val[0] += Cd(&x[i])._Val[0] * Cd(&y[i])._Val[0];
  			zdotc._Val[1] += Cd(&x[i])._Val[1] * Cd(&y[i])._Val[1];
  		}
  	} else {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc._Val[0] += Cd(&x[i*incx])._Val[0] * Cd(&y[i*incy])._Val[0];
  			zdotc._Val[1] += Cd(&x[i*incx])._Val[1] * Cd(&y[i*incy])._Val[1];
  		}
  	}
  	pCd(z) = zdotc;
  }
  #else
  	_Complex double zdotc = 0.0;
  	if (incx == 1 && incy == 1) {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc += Cd(&x[i]) * Cd(&y[i]);
  		}
  	} else {
  		for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  			zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
  		}
  	}
  	pCd(z) = zdotc;
  }
  #endif
  /*  -- translated by f2c (version 20000121).
     You must link the resulting object file with the libraries:
  	-lf2c -lm   (in that order)
  */
  
  
  
  
  /* Table of constant values */
  
  static doublecomplex c_b1 = {-1.,0.};
  static integer c__1 = 1;
  
  /* > \brief \b ZUNBDB4 */
  
  /*  =========== DOCUMENTATION =========== */
  
  /* Online html documentation available at */
  /*            http://www.netlib.org/lapack/explore-html/ */
  
  /* > \htmlonly */
  /* > Download ZUNBDB4 + dependencies */
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  .f"> */
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  /* > \endhtmlonly */
  
  /*  Definition: */
  /*  =========== */
  
  /*       SUBROUTINE ZUNBDB4( M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, */
  /*                           TAUP1, TAUP2, TAUQ1, PHANTOM, WORK, LWORK, */
  /*                           INFO ) */
  
  /*       INTEGER            INFO, LWORK, M, P, Q, LDX11, LDX21 */
  /*       DOUBLE PRECISION   PHI(*), THETA(*) */
  /*       COMPLEX*16         PHANTOM(*), TAUP1(*), TAUP2(*), TAUQ1(*), */
  /*      $                   WORK(*), X11(LDX11,*), X21(LDX21,*) */
  
  
  /* > \par Purpose: */
  /*  ============= */
  /* > */
  /* >\verbatim */
  /* > */
  /* > ZUNBDB4 simultaneously bidiagonalizes the blocks of a tall and skinny */
  /* > matrix X with orthonomal columns: */
  /* > */
  /* >                            [ B11 ] */
  /* >      [ X11 ]   [ P1 |    ] [  0  ] */
  /* >      [-----] = [---------] [-----] Q1**T . */
  /* >      [ X21 ]   [    | P2 ] [ B21 ] */
  /* >                            [  0  ] */
  /* > */
  /* > X11 is P-by-Q, and X21 is (M-P)-by-Q. M-Q must be no larger than P, */
  /* > M-P, or Q. Routines ZUNBDB1, ZUNBDB2, and ZUNBDB3 handle cases in */
  /* > which M-Q is not the minimum dimension. */
  /* > */
  /* > The unitary matrices P1, P2, and Q1 are P-by-P, (M-P)-by-(M-P), */
  /* > and (M-Q)-by-(M-Q), respectively. They are represented implicitly by */
  /* > Householder vectors. */
  /* > */
  /* > B11 and B12 are (M-Q)-by-(M-Q) bidiagonal matrices represented */
  /* > implicitly by angles THETA, PHI. */
  /* > */
  /* >\endverbatim */
  
  /*  Arguments: */
  /*  ========== */
  
  /* > \param[in] M */
  /* > \verbatim */
  /* >          M is INTEGER */
  /* >           The number of rows X11 plus the number of rows in X21. */
  /* > \endverbatim */
  /* > */
  /* > \param[in] P */
  /* > \verbatim */
  /* >          P is INTEGER */
  /* >           The number of rows in X11. 0 <= P <= M. */
  /* > \endverbatim */
  /* > */
  /* > \param[in] Q */
  /* > \verbatim */
  /* >          Q is INTEGER */
  /* >           The number of columns in X11 and X21. 0 <= Q <= M and */
  /* >           M-Q <= f2cmin(P,M-P,Q). */
  /* > \endverbatim */
  /* > */
  /* > \param[in,out] X11 */
  /* > \verbatim */
  /* >          X11 is COMPLEX*16 array, dimension (LDX11,Q) */
  /* >           On entry, the top block of the matrix X to be reduced. On */
  /* >           exit, the columns of tril(X11) specify reflectors for P1 and */
  /* >           the rows of triu(X11,1) specify reflectors for Q1. */
  /* > \endverbatim */
  /* > */
  /* > \param[in] LDX11 */
  /* > \verbatim */
  /* >          LDX11 is INTEGER */
  /* >           The leading dimension of X11. LDX11 >= P. */
  /* > \endverbatim */
  /* > */
  /* > \param[in,out] X21 */
  /* > \verbatim */
  /* >          X21 is COMPLEX*16 array, dimension (LDX21,Q) */
  /* >           On entry, the bottom block of the matrix X to be reduced. On */
  /* >           exit, the columns of tril(X21) specify reflectors for P2. */
  /* > \endverbatim */
  /* > */
  /* > \param[in] LDX21 */
  /* > \verbatim */
  /* >          LDX21 is INTEGER */
  /* >           The leading dimension of X21. LDX21 >= M-P. */
  /* > \endverbatim */
  /* > */
  /* > \param[out] THETA */
  /* > \verbatim */
  /* >          THETA is DOUBLE PRECISION array, dimension (Q) */
  /* >           The entries of the bidiagonal blocks B11, B21 are defined by */
  /* >           THETA and PHI. See Further Details. */
  /* > \endverbatim */
  /* > */
  /* > \param[out] PHI */
  /* > \verbatim */
  /* >          PHI is DOUBLE PRECISION array, dimension (Q-1) */
  /* >           The entries of the bidiagonal blocks B11, B21 are defined by */
  /* >           THETA and PHI. See Further Details. */
  /* > \endverbatim */
  /* > */
  /* > \param[out] TAUP1 */
  /* > \verbatim */
  /* >          TAUP1 is COMPLEX*16 array, dimension (P) */
  /* >           The scalar factors of the elementary reflectors that define */
  /* >           P1. */
  /* > \endverbatim */
  /* > */
  /* > \param[out] TAUP2 */
  /* > \verbatim */
  /* >          TAUP2 is COMPLEX*16 array, dimension (M-P) */
  /* >           The scalar factors of the elementary reflectors that define */
  /* >           P2. */
  /* > \endverbatim */
  /* > */
  /* > \param[out] TAUQ1 */
  /* > \verbatim */
  /* >          TAUQ1 is COMPLEX*16 array, dimension (Q) */
  /* >           The scalar factors of the elementary reflectors that define */
  /* >           Q1. */
  /* > \endverbatim */
  /* > */
  /* > \param[out] PHANTOM */
  /* > \verbatim */
  /* >          PHANTOM is COMPLEX*16 array, dimension (M) */
  /* >           The routine computes an M-by-1 column vector Y that is */
  /* >           orthogonal to the columns of [ X11; X21 ]. PHANTOM(1:P) and */
  /* >           PHANTOM(P+1:M) contain Householder vectors for Y(1:P) and */
  /* >           Y(P+1:M), respectively. */
  /* > \endverbatim */
  /* > */
  /* > \param[out] WORK */
  /* > \verbatim */
  /* >          WORK is COMPLEX*16 array, dimension (LWORK) */
  /* > \endverbatim */
  /* > */
  /* > \param[in] LWORK */
  /* > \verbatim */
  /* >          LWORK is INTEGER */
  /* >           The dimension of the array WORK. LWORK >= M-Q. */
  /* > */
  /* >           If LWORK = -1, then a workspace query is assumed; the routine */
  /* >           only calculates the optimal size of the WORK array, returns */
  /* >           this value as the first entry of the WORK array, and no error */
  /* >           message related to LWORK is issued by XERBLA. */
  /* > \endverbatim */
  /* > */
  /* > \param[out] INFO */
  /* > \verbatim */
  /* >          INFO is INTEGER */
  /* >           = 0:  successful exit. */
  /* >           < 0:  if INFO = -i, the i-th argument had an illegal value. */
  /* > \endverbatim */
  
  /*  Authors: */
  /*  ======== */
  
  /* > \author Univ. of Tennessee */
  /* > \author Univ. of California Berkeley */
  /* > \author Univ. of Colorado Denver */
  /* > \author NAG Ltd. */
  
  /* > \date July 2012 */
  
  /* > \ingroup complex16OTHERcomputational */
  
  /* > \par Further Details: */
  /*  ===================== */
  /* > */
  /* > \verbatim */
  /* > */
  /* >  The upper-bidiagonal blocks B11, B21 are represented implicitly by */
  /* >  angles THETA(1), ..., THETA(Q) and PHI(1), ..., PHI(Q-1). Every entry */
  /* >  in each bidiagonal band is a product of a sine or cosine of a THETA */
  /* >  with a sine or cosine of a PHI. See [1] or ZUNCSD for details. */
  /* > */
  /* >  P1, P2, and Q1 are represented as products of elementary reflectors. */
  /* >  See ZUNCSD2BY1 for details on generating P1, P2, and Q1 using ZUNGQR */
  /* >  and ZUNGLQ. */
  /* > \endverbatim */
  
  /* > \par References: */
  /*  ================ */
  /* > */
  /* >  [1] Brian D. Sutton. Computing the complete CS decomposition. Numer. */
  /* >      Algorithms, 50(1):33-65, 2009. */
  /* > */
  /*  ===================================================================== */
  /* Subroutine */ int zunbdb4_(integer *m, integer *p, integer *q, 
  	doublecomplex *x11, integer *ldx11, doublecomplex *x21, integer *
  	ldx21, doublereal *theta, doublereal *phi, doublecomplex *taup1, 
  	doublecomplex *taup2, doublecomplex *tauq1, doublecomplex *phantom, 
  	doublecomplex *work, integer *lwork, integer *info)
  {
      /* System generated locals */
      integer x11_dim1, x11_offset, x21_dim1, x21_offset, i__1, i__2, i__3, 
  	    i__4;
      doublereal d__1, d__2;
      doublecomplex z__1;
  
      /* Local variables */
      integer lworkmin, lworkopt;
      doublereal c__;
      integer i__, j;
      doublereal s;
      integer ilarf, llarf;
      extern /* Subroutine */ int zscal_(integer *, doublecomplex *, 
  	    doublecomplex *, integer *);
      integer childinfo;
      extern /* Subroutine */ int zlarf_(char *, integer *, integer *, 
  	    doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
  	    integer *, doublecomplex *), zdrot_(integer *, 
  	    doublecomplex *, integer *, doublecomplex *, integer *, 
  	    doublereal *, doublereal *);
      extern doublereal dznrm2_(integer *, doublecomplex *, integer *);
      extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen), zlacgv_(
  	    integer *, doublecomplex *, integer *);
      logical lquery;
      integer iorbdb5, lorbdb5;
      extern /* Subroutine */ int zunbdb5_(integer *, integer *, integer *, 
  	    doublecomplex *, integer *, doublecomplex *, integer *, 
  	    doublecomplex *, integer *, doublecomplex *, integer *, 
  	    doublecomplex *, integer *, integer *), zlarfgp_(integer *, 
  	    doublecomplex *, doublecomplex *, integer *, doublecomplex *);
  
  
  /*  -- LAPACK computational routine (version 3.8.0) -- */
  /*  -- LAPACK is a software package provided by Univ. of Tennessee,    -- */
  /*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  /*     July 2012 */
  
  
  /*  ==================================================================== */
  
  
  /*     Test input arguments */
  
      /* Parameter adjustments */
      x11_dim1 = *ldx11;
      x11_offset = 1 + x11_dim1 * 1;
      x11 -= x11_offset;
      x21_dim1 = *ldx21;
      x21_offset = 1 + x21_dim1 * 1;
      x21 -= x21_offset;
      --theta;
      --phi;
      --taup1;
      --taup2;
      --tauq1;
      --phantom;
      --work;
  
      /* Function Body */
      *info = 0;
      lquery = *lwork == -1;
  
      if (*m < 0) {
  	*info = -1;
      } else if (*p < *m - *q || *m - *p < *m - *q) {
  	*info = -2;
      } else if (*q < *m - *q || *q > *m) {
  	*info = -3;
      } else if (*ldx11 < f2cmax(1,*p)) {
  	*info = -5;
      } else /* if(complicated condition) */ {
  /* Computing MAX */
  	i__1 = 1, i__2 = *m - *p;
  	if (*ldx21 < f2cmax(i__1,i__2)) {
  	    *info = -7;
  	}
      }
  
  /*     Compute workspace */
  
      if (*info == 0) {
  	ilarf = 2;
  /* Computing MAX */
  	i__1 = *q - 1, i__2 = *p - 1, i__1 = f2cmax(i__1,i__2), i__2 = *m - *p - 
  		1;
  	llarf = f2cmax(i__1,i__2);
  	iorbdb5 = 2;
  	lorbdb5 = *q;
  	lworkopt = ilarf + llarf - 1;
  /* Computing MAX */
  	i__1 = lworkopt, i__2 = iorbdb5 + lorbdb5 - 1;
  	lworkopt = f2cmax(i__1,i__2);
  	lworkmin = lworkopt;
  	work[1].r = (doublereal) lworkopt, work[1].i = 0.;
  	if (*lwork < lworkmin && ! lquery) {
  	    *info = -14;
  	}
      }
      if (*info != 0) {
  	i__1 = -(*info);
  	xerbla_("ZUNBDB4", &i__1, (ftnlen)7);
  	return 0;
      } else if (lquery) {
  	return 0;
      }
  
  /*     Reduce columns 1, ..., M-Q of X11 and X21 */
  
      i__1 = *m - *q;
      for (i__ = 1; i__ <= i__1; ++i__) {
  
  	if (i__ == 1) {
  	    i__2 = *m;
  	    for (j = 1; j <= i__2; ++j) {
  		i__3 = j;
  		phantom[i__3].r = 0., phantom[i__3].i = 0.;
  	    }
  	    i__2 = *m - *p;
  	    zunbdb5_(p, &i__2, q, &phantom[1], &c__1, &phantom[*p + 1], &c__1,
  		     &x11[x11_offset], ldx11, &x21[x21_offset], ldx21, &work[
  		    iorbdb5], &lorbdb5, &childinfo);
  	    zscal_(p, &c_b1, &phantom[1], &c__1);
  	    zlarfgp_(p, &phantom[1], &phantom[2], &c__1, &taup1[1]);
  	    i__2 = *m - *p;
  	    zlarfgp_(&i__2, &phantom[*p + 1], &phantom[*p + 2], &c__1, &taup2[
  		    1]);
  	    theta[i__] = atan2((doublereal) phantom[1].r, (doublereal) 
  		    phantom[*p + 1].r);
  	    c__ = cos(theta[i__]);
  	    s = sin(theta[i__]);
  	    phantom[1].r = 1., phantom[1].i = 0.;
  	    i__2 = *p + 1;
  	    phantom[i__2].r = 1., phantom[i__2].i = 0.;
  	    d_cnjg(&z__1, &taup1[1]);
  	    zlarf_("L", p, q, &phantom[1], &c__1, &z__1, &x11[x11_offset], 
  		    ldx11, &work[ilarf]);
  	    i__2 = *m - *p;
  	    d_cnjg(&z__1, &taup2[1]);
  	    zlarf_("L", &i__2, q, &phantom[*p + 1], &c__1, &z__1, &x21[
  		    x21_offset], ldx21, &work[ilarf]);
  	} else {
  	    i__2 = *p - i__ + 1;
  	    i__3 = *m - *p - i__ + 1;
  	    i__4 = *q - i__ + 1;
  	    zunbdb5_(&i__2, &i__3, &i__4, &x11[i__ + (i__ - 1) * x11_dim1], &
  		    c__1, &x21[i__ + (i__ - 1) * x21_dim1], &c__1, &x11[i__ + 
  		    i__ * x11_dim1], ldx11, &x21[i__ + i__ * x21_dim1], ldx21,
  		     &work[iorbdb5], &lorbdb5, &childinfo);
  	    i__2 = *p - i__ + 1;
  	    zscal_(&i__2, &c_b1, &x11[i__ + (i__ - 1) * x11_dim1], &c__1);
  	    i__2 = *p - i__ + 1;
  	    zlarfgp_(&i__2, &x11[i__ + (i__ - 1) * x11_dim1], &x11[i__ + 1 + (
  		    i__ - 1) * x11_dim1], &c__1, &taup1[i__]);
  	    i__2 = *m - *p - i__ + 1;
  	    zlarfgp_(&i__2, &x21[i__ + (i__ - 1) * x21_dim1], &x21[i__ + 1 + (
  		    i__ - 1) * x21_dim1], &c__1, &taup2[i__]);
  	    theta[i__] = atan2((doublereal) x11[i__ + (i__ - 1) * x11_dim1].r,
  		     (doublereal) x21[i__ + (i__ - 1) * x21_dim1].r);
  	    c__ = cos(theta[i__]);
  	    s = sin(theta[i__]);
  	    i__2 = i__ + (i__ - 1) * x11_dim1;
  	    x11[i__2].r = 1., x11[i__2].i = 0.;
  	    i__2 = i__ + (i__ - 1) * x21_dim1;
  	    x21[i__2].r = 1., x21[i__2].i = 0.;
  	    i__2 = *p - i__ + 1;
  	    i__3 = *q - i__ + 1;
  	    d_cnjg(&z__1, &taup1[i__]);
  	    zlarf_("L", &i__2, &i__3, &x11[i__ + (i__ - 1) * x11_dim1], &c__1,
  		     &z__1, &x11[i__ + i__ * x11_dim1], ldx11, &work[ilarf]);
  	    i__2 = *m - *p - i__ + 1;
  	    i__3 = *q - i__ + 1;
  	    d_cnjg(&z__1, &taup2[i__]);
  	    zlarf_("L", &i__2, &i__3, &x21[i__ + (i__ - 1) * x21_dim1], &c__1,
  		     &z__1, &x21[i__ + i__ * x21_dim1], ldx21, &work[ilarf]);
  	}
  
  	i__2 = *q - i__ + 1;
  	d__1 = -c__;
  	zdrot_(&i__2, &x11[i__ + i__ * x11_dim1], ldx11, &x21[i__ + i__ * 
  		x21_dim1], ldx21, &s, &d__1);
  	i__2 = *q - i__ + 1;
  	zlacgv_(&i__2, &x21[i__ + i__ * x21_dim1], ldx21);
  	i__2 = *q - i__ + 1;
  	zlarfgp_(&i__2, &x21[i__ + i__ * x21_dim1], &x21[i__ + (i__ + 1) * 
  		x21_dim1], ldx21, &tauq1[i__]);
  	i__2 = i__ + i__ * x21_dim1;
  	c__ = x21[i__2].r;
  	i__2 = i__ + i__ * x21_dim1;
  	x21[i__2].r = 1., x21[i__2].i = 0.;
  	i__2 = *p - i__;
  	i__3 = *q - i__ + 1;
  	zlarf_("R", &i__2, &i__3, &x21[i__ + i__ * x21_dim1], ldx21, &tauq1[
  		i__], &x11[i__ + 1 + i__ * x11_dim1], ldx11, &work[ilarf]);
  	i__2 = *m - *p - i__;
  	i__3 = *q - i__ + 1;
  	zlarf_("R", &i__2, &i__3, &x21[i__ + i__ * x21_dim1], ldx21, &tauq1[
  		i__], &x21[i__ + 1 + i__ * x21_dim1], ldx21, &work[ilarf]);
  	i__2 = *q - i__ + 1;
  	zlacgv_(&i__2, &x21[i__ + i__ * x21_dim1], ldx21);
  	if (i__ < *m - *q) {
  	    i__2 = *p - i__;
  /* Computing 2nd power */
  	    d__1 = dznrm2_(&i__2, &x11[i__ + 1 + i__ * x11_dim1], &c__1);
  	    i__3 = *m - *p - i__;
  /* Computing 2nd power */
  	    d__2 = dznrm2_(&i__3, &x21[i__ + 1 + i__ * x21_dim1], &c__1);
  	    s = sqrt(d__1 * d__1 + d__2 * d__2);
  	    phi[i__] = atan2(s, c__);
  	}
  
      }
  
  /*     Reduce the bottom-right portion of X11 to [ I 0 ] */
  
      i__1 = *p;
      for (i__ = *m - *q + 1; i__ <= i__1; ++i__) {
  	i__2 = *q - i__ + 1;
  	zlacgv_(&i__2, &x11[i__ + i__ * x11_dim1], ldx11);
  	i__2 = *q - i__ + 1;
  	zlarfgp_(&i__2, &x11[i__ + i__ * x11_dim1], &x11[i__ + (i__ + 1) * 
  		x11_dim1], ldx11, &tauq1[i__]);
  	i__2 = i__ + i__ * x11_dim1;
  	x11[i__2].r = 1., x11[i__2].i = 0.;
  	i__2 = *p - i__;
  	i__3 = *q - i__ + 1;
  	zlarf_("R", &i__2, &i__3, &x11[i__ + i__ * x11_dim1], ldx11, &tauq1[
  		i__], &x11[i__ + 1 + i__ * x11_dim1], ldx11, &work[ilarf]);
  	i__2 = *q - *p;
  	i__3 = *q - i__ + 1;
  	zlarf_("R", &i__2, &i__3, &x11[i__ + i__ * x11_dim1], ldx11, &tauq1[
  		i__], &x21[*m - *q + 1 + i__ * x21_dim1], ldx21, &work[ilarf]);
  	i__2 = *q - i__ + 1;
  	zlacgv_(&i__2, &x11[i__ + i__ * x11_dim1], ldx11);
      }
  
  /*     Reduce the bottom-right portion of X21 to [ 0 I ] */
  
      i__1 = *q;
      for (i__ = *p + 1; i__ <= i__1; ++i__) {
  	i__2 = *q - i__ + 1;
  	zlacgv_(&i__2, &x21[*m - *q + i__ - *p + i__ * x21_dim1], ldx21);
  	i__2 = *q - i__ + 1;
  	zlarfgp_(&i__2, &x21[*m - *q + i__ - *p + i__ * x21_dim1], &x21[*m - *
  		q + i__ - *p + (i__ + 1) * x21_dim1], ldx21, &tauq1[i__]);
  	i__2 = *m - *q + i__ - *p + i__ * x21_dim1;
  	x21[i__2].r = 1., x21[i__2].i = 0.;
  	i__2 = *q - i__;
  	i__3 = *q - i__ + 1;
  	zlarf_("R", &i__2, &i__3, &x21[*m - *q + i__ - *p + i__ * x21_dim1], 
  		ldx21, &tauq1[i__], &x21[*m - *q + i__ - *p + 1 + i__ * 
  		x21_dim1], ldx21, &work[ilarf]);
  	i__2 = *q - i__ + 1;
  	zlacgv_(&i__2, &x21[*m - *q + i__ - *p + i__ * x21_dim1], ldx21);
      }
  
      return 0;
  
  /*     End of ZUNBDB4 */
  
  } /* zunbdb4_ */
  
  