add rotc to blas

BLAS/SRC/CMakeLists.txt

@@ -82,15 +82,15 @@ set(ZBLAS2 zgemv.f zgbmv.f zhemv.f zhbmv.f zhpmv.f
 #---------------------------------------------------------
 #  Level 3 BLAS
 #---------------------------------------------------------
-set(SBLAS3 sgemm.f ssymm.f ssyrk.f ssyr2k.f strmm.f strsm.f sgemmtr.f)
+set(SBLAS3 sgemm.f ssymm.f ssyrk.f ssyr2k.f strmm.f strsm.f sgemmtr.f srotc.f90)
 
 set(CBLAS3 cgemm.f csymm.f csyrk.f csyr2k.f ctrmm.f ctrsm.f
-	chemm.f cherk.f cher2k.f cgemmtr.f)
+	chemm.f cherk.f cher2k.f cgemmtr.f crotc.f90 scrotc.f90)
 
-set(DBLAS3 dgemm.f dsymm.f dsyrk.f dsyr2k.f dtrmm.f dtrsm.f dgemmtr.f)
+set(DBLAS3 dgemm.f dsymm.f dsyrk.f dsyr2k.f dtrmm.f dtrsm.f dgemmtr.f drotc.f90)
 
 set(ZBLAS3 zgemm.f zsymm.f zsyrk.f zsyr2k.f ztrmm.f ztrsm.f
-	zhemm.f zherk.f zher2k.f zgemmtr.f)
+	zhemm.f zherk.f zher2k.f zgemmtr.f zrotc.f90 dzrotc.f90)
 
 
 set(SOURCES)

BLAS/SRC/crotc.f90

@@ -0,0 +1,256 @@
+!> \brief \b CROTC applies a chain of rotation sequences to a matrix.
+!
+!  =========== DOCUMENTATION ===========
+!
+! Online html documentation available at
+!            http://www.netlib.org/lapack/explore-html/
+!
+!  Definition:
+!  ===========
+!
+!   subroutine crotc(side, dir, startup, shutdown, m, n, k,&
+!                    A, lda, C, ldc, S, lds)
+!    .. Scalar Arguments ..
+!    integer, intent(in) :: m, n, k
+!    ...
+!
+!> \par Purpose:
+!  =============
+!>
+!> \verbatim
+!>
+!> CROTC applies a chain of k rotation sequences of length n to a matrix A.
+!>
+!> Each rotation is specified by a cosine and a sine, stored in the
+!> matrices C and S respectively. Rotation G(i,j) is formed by
+!> C(i,j) and S(i,j).
+!>
+!> If side = 'L', rotation G(i,j) is applied to rows i and i+1 of A.
+!> [ A(i,j)   ] = [  C(i,j)        S(i,j) ] [ A(i,j)   ]
+!> [ A(i+1,j) ]   [ -conj(S(i,j))  C(i,j) ] [ A(i+1,j) ]
+!> If side = 'R', rotation G(i,j) is applied to columns j and j+1 of A.
+!> [ A(i,j)   A(i,j+1)   ] = [ A(i,j)   A(i,j+1)   ] [  C(i,j) -conj(S(i,j)) ]
+!> [ A(i+1,j) A(i+1,j+1) ]   [ A(i+1,j) A(i+1,j+1) ] [  S(i,j)  C(i,j)       ]
+!>
+!> \endverbatim
+!
+!  Arguments:
+!  ==========
+!
+!> \param[in] side
+!> \verbatim
+!>          side is CHARACTER*1
+!>          If side = 'L', the rotations are applied to A from the left.
+!>          If side = 'R', the rotations are applied to A from the right.
+!> \endverbatim
+!>
+!> \param[in] dir
+!> \verbatim
+!>          dir is CHARACTER*1
+!>          If dir = 'F', the rotations are applied in sequence from the
+!>          first column/row to the last column/row.
+!>          If dir = 'B', the rotations are applied in sequence from the
+!>          last column/row to the first column/row.
+!> \endverbatim
+!>
+!> \param[in] startup
+!> \verbatim
+!>          startup is LOGICAL
+!>          If startup = .FALSE., the first (k-1) x (k-1) triangle
+!>          of rotations is not applied.
+!> \endverbatim
+!>
+!> \param[in] shutdown
+!> \verbatim
+!>          shutdown is LOGICAL
+!>          If shutdown = .FALSE., the last (k-1) x (k-1) triangle
+!>          of rotations is not applied.
+!> \endverbatim
+!>
+!> \param[in] m
+!> \verbatim
+!>          m is INTEGER
+!>          If side = 'L', m is the number of columns of A.
+!>          If side = 'R', m is the number of rows of A.
+!> \endverbatim
+!>
+!> \param[in] n
+!> \verbatim
+!>          n is INTEGER
+!>          The number of rotations in one sequence.
+!> \endverbatim
+!>
+!> \param[in] k
+!> \verbatim
+!>          k is INTEGER
+!>          The number of sequences of rotations.
+!> \endverbatim
+!>
+!> \param[in,out] A
+!> \verbatim
+!>          A is COMPLEX array
+!>          If side = 'L', A has dimension (n+1,m).
+!>          If side = 'R', A has dimension (m,n+1).
+!>          The matrix to which the rotations are applied.
+!> \endverbatim
+!>
+!> \param[in] lda
+!> \verbatim
+!>          lda is INTEGER
+!>          The leading dimension of A.
+!>          If side = 'L', lda >= n+1.
+!>          If side = 'R', lda >= m.
+!> \endverbatim
+!>
+!> \param[in,out] C
+!> \verbatim
+!>          C is REAL array, dimension (ldc,k)
+!>          The matrix containing the cosines of the rotations.
+!> \endverbatim
+!>
+!> \param[in] ldc
+!> \verbatim
+!>          ldc is INTEGER
+!>          The leading dimension of C.
+!>          ldc >= n.
+!> \endverbatim
+!>
+!> \param[in,out] S
+!> \verbatim
+!>          S is COMPLEX array, dimension (lds,k)
+!>          The matrix containing the sines of the rotations.
+!> \endverbatim
+!>
+!> \param[in] lds
+!> \verbatim
+!>          lds is INTEGER
+!>          The leading dimension of S.
+!>          lds >= n.
+!> \endverbatim
+!
+!  Authors:
+!  ========
+!
+!> \author Thijs Steel, KU Leuven, Belgium
+!
+!> \date October 2024
+!
+!> \ingroup rotc
+!
+subroutine crotc(side, dir, startup, shutdown, m, n, k,&
+    A, lda, C, ldc, S, lds)
+!    .. Scalar Arguments ..
+    integer, intent(in) :: m, n, k, lda, ldc, lds
+    character, intent(in) :: dir, side
+    logical, intent(in) :: startup, shutdown
+!    .. Array Arguments ..
+    complex, intent(inout) :: A(lda,*)
+    complex, intent(in) :: S(lds,*)
+    real, intent(in) :: C(ldc,*)
+!   .. Local Scalars ..
+    integer i, j, l, j1, j2, incj, incj1, incj2, info
+    complex temp, sn
+    real cs
+!    .. Executable Statements ..
+
+!   Test the input parameters
+    info = 0
+    if(.not. (side .eq. 'L' .or. side .eq. 'R')) then
+        info = 1
+    end if
+    if(.not. (dir .eq. 'F' .or. dir .eq. 'B')) then
+        info = 2
+    end if
+    if(m .lt. 0) then
+        info = 5
+    end if
+    if(n .lt. 0) then
+        info = 6
+    end if
+    if(k .lt. 0) then
+        info = 7
+    end if
+    if(side .eq. 'L') then
+        if(lda .lt. n+1) then
+            info = 9
+        end if
+    else
+        if(lda .lt. m) then
+            info = 9
+        end if
+    end if
+    if(ldc .lt. n) then
+        info = 11
+    end if
+    if(lds .lt. n) then
+        info = 13
+    end if
+
+    if(info .ne. 0) then
+        call xerbla('CROTC ', info)
+        return
+    end if
+
+!   Determine ranges for loops around C and S
+!   The range for sequence l is:
+!   j1+(l-1)*incj1:incj:j2+(l-1)*incj2
+    if( dir .eq. 'F') then
+        incj = 1
+        if(startup) then
+            j1 = 1
+            incj1 = 0
+        else
+            j1 = k
+            incj1 = -1
+        end if
+        j2 = n
+        if(shutdown) then
+            incj2 = 0
+        else
+            incj2 = -1
+        end if
+    else
+        incj = -1
+        j1 = 1
+        if(startup) then
+            incj1 = 1
+        else
+            incj1 = 0
+        end if
+        if(shutdown) then
+            j2 = 0
+            incj2 = 0
+        else
+            j2 = n-k+1
+            incj2 = 1
+        end if
+    end if
+
+!   Apply the rotations
+    if(side .eq. 'L') then
+        do l = 1, k
+            do j = j1+(l-1)*incj1, j2+(l-1)*incj2, incj
+                cs = C(j,l)
+                sn = S(j,l)
+                do i = 1, m
+                    temp = cs*A(i,j) + sn*A(i,j+1)
+                    A(i,j+1) = -conj(sn*A(i,j)) + cs*A(i,j+1)
+                    A(i,j) = temp
+                end do
+            end do
+        end do
+    else
+        do l = 1, k
+            do j = j1+(l-1)*incj1, j2+(l-1)*incj2, incj
+                cs = C(l,j)
+                sn = S(l,j)
+                do i = 1, m
+                    temp = cs*A(j,i) + sn*A(j+1,i)
+                    A(j+1,i) = -conj(sn*A(j,i)) + cs*A(j+1,i)
+                    A(j,i) = temp
+                end do
+            end do
+        end do
+    end if
+
+end subroutine crotc