INTEGRATED CHANGES PROVIDED BY INTEL TEAM FOR LAPACKE -- SEE Eugene Chereshnev email on Feb 18th

 --> THANK YO INTEL <--


We performed auto-replacement matrix_order -> matrix_layout in the LAPACKE C Interface.
Also we applied several bug fixes which were presented on our side and added two LAPACKE interfaces for
function LAPACK_stpqrt which weren't represented on your side (although interfaces for d/c/z/pqrt were).
 
All changes are reflected in the archive in attachment (only modified files in the archive). All changes were performed for revision 1471.
 
 
Summary of changes:
1.  Files:
    lapacke_stprfb.c
    lapacke_dtprfb.c
    lapacke_ctprfb.c
    lapacke_ztprfb.c
   
    lapacke_stprfb_work.c
    lapacke_dtprfb_work.c
    lapacke_ctprfb_work.c
    lapacke_ztprfb_work.c
    lapacke.h
 
    Expression MAX(1,ldwork)*MAX(n,k) was replaced by 'work_size'. It's not a bug but apparently 'work_size' is right expression in this place.
    Also in functions lapacke_(c/z)tprfb type of 'work' array was changed from float/double to
    lapack_complex_float/lapack_complex_double. Array 'work' is passed to lapacke_(c/z)tprfb_work and it calls
    LAPACK_(c/z)tprfb (and passes array 'work') but LAPACK_(c/z)tprfb has argument 'work' of complex type:
    SRC/ctprfb.f:
    *>          WORK is COMPLEX array, dimension
    *>          (LDWORK,N) if SIDE = 'L',
    *>          (LDWORK,K) if SIDE = 'R'.
    and SRC/ztprfb.f:
    *>          WORK is COMPLEX*16 array, dimension
    *>          (LDWORK,N) if SIDE = 'L',
    *>          (LDWORK,K) if SIDE = 'R'.
    Types of 'work' array in lapacke.h for LAPACK_(c/z)tprfb are float/double so they aren't correct.
    The archive includes changes in lapacke.h and source files:
        types of 'work' array in LAPACK_(c/z)tprfb: float/double -> lapack_complex_float/lapack_complex_double
        types of 'work' array in LAPACKE_(c/z)tprfb_work: float/double -> lapack_complex_float/lapack_complex_double
        In a similar way types of allocated 'work' arrays in LAPACKE_(c/z)tprfb were replaced.
    Also you can see here why MAX(1,ldwork)*MAX(n,k) isn't fully correct expression for work_size.   
 
2.  Files:
    lapacke_cuncsd.c
    lapacke_dorcsd.c
    lapacke_sorcsd.c
    lapacke_zuncsd.c
   
    From documentation of LAPACK_cuncsd (for other three LAPACK functions IWORK must have same size):
    *>          IWORK is INTEGER array, dimension (M-MIN(P,M-P,Q,M-Q))
   
   So it's not correct here to allocate working array with MAX(1,m-q) size.
   Changes:
    lapack_int r;
    r=MIN(p,m-p);
    r=MIN(r,q);
    r=MIN(r,m-q);
    MAX(1,m-q) -> MAX(1,m-r)
   
3.  Files:
    lapacke_cgbsvxx_work.c
    lapacke_cgesvxx_work.c
    lapacke_chesvxx_work.c
    lapacke_cposvxx_work.c
    lapacke_csysvxx_work.c
    lapacke_dgbsvxx_work.c
    lapacke_dgesvxx_work.c
    lapacke_dposvxx_work.c
    lapacke_dsysvxx_work.c
    lapacke_sgbsvxx_work.c
    lapacke_sgesvxx_work.c
    lapacke_sposvxx_work.c
    lapacke_ssysvxx_work.c
    lapacke_zgbsvxx_work.c
    lapacke_zgesvxx_work.c
    lapacke_zhesvxx_work.c
    lapacke_zposvxx_work.c
    lapacke_zsysvxx_work.c
 
    Functions doesn't perform right transposition for 'err_bnds_norm' and 'err_bnds_comp' matrices:
    From documentation of these functions:
    *>          ERR_BNDS_NORM is (SINGLE/DOUBLE) PRECISION array, dimension (NRHS, N_ERR_BNDS)
    *>          ERR_BNDS_COMP is (SINGLE/DOUBLE) PRECISION array, dimension (NRHS, N_ERR_BNDS)
    So for interface functions right 'lda' for 'err_bnds_norm' and 'err_bnds_comp' matrices is 'n_err_bnds' rather than 'nhrs' in the case of LAPACK_ROW_MAJOR.
 
4.  Files:
    lapacke_stpqrt.c
    lapacke_stpqrt_work.c
    lapacke/src/Makefile
    lapacke/src/CMakeLists.txt
   
    Interfaces for LAPACK_spqrt were added: lapacke_stpqrt.c and lapacke_stpqrt_work.c and appropriate changes were performed in Makefile and CMakeLists.txt.
    Declaration of LAPACK_spqrt was added to lapacke.h.
    
    

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