! Replaces DTPSV  24 procedures


    ! Level 2 REAL  (DTPSV)

    ! .                         unit
    ! .     alpha  op_a  lower  diag  b

    ! 201*   any    H      L     U    b < alpha a(-H) b
    ! 202*   any    H      L          b < alpha a(-H) b
    ! 203*   any    H            U    b < alpha a(-H) b
    ! 204*   any    H                 b < alpha a(-H) b
    ! 205    any    T      L     U    b < alpha a(-T) b
    ! 206    any    T      L          b < alpha a(-T) b
    ! 207    any    T            U    b < alpha a(-T) b
    ! 208    any    T                 b < alpha a(-T) b
    ! 209    any           L     U    b < alpha a(-1) b
    ! 210    any           L          b < alpha a(-1) b
    ! 211    any                 U    b < alpha a(-1) b
    ! 212    any                      b < alpha a(-1) b
    ! 213*   1.0    H      L     U    b < a(-H) b
    ! 214*   1.0    H      L          b < a(-H) b
    ! 215*   1.0    H            U    b < a(-H) b
    ! 216*   1.0    H                 b < a(-H) b
    ! 217    1.0    T      L     U    b < a(-T) b
    ! 218    1.0    T      L          b < a(-T) b
    ! 219    1.0    T            U    b < a(-T) b
    ! 220    1.0    T                 b < a(-T) b
    ! 221    1.0           L     U    b < a(-1) b
    ! 222    1.0           L          b < a(-1) b
    ! 223    1.0                 U    b < a(-1) b
    ! 224    1.0                      b < a(-1) b


    ! * means not needed for the REAL case
    ! .  all procedures with op_a of type "blas_conj_trans"
    ! .  are not needed but have been added for consistency
    ! .  with the complex case
    ! .  (201, 202, 203, 204, 213, 214, 215, 216)

    MODULE dtpsv_01

    CONTAINS
      SUBROUTINE dtpsv_201(alpha,a,op_a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type, &
         blas_conj_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('L','C','U',n,a,b,1)
      END SUBROUTINE dtpsv_201
    END MODULE dtpsv_01

    MODULE dtpsv_02

    CONTAINS
      SUBROUTINE dtpsv_202(alpha,a,op_a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_conj_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('L','C','N',n,a,b,1)
      END SUBROUTINE dtpsv_202
    END MODULE dtpsv_02

    MODULE dtpsv_03

    CONTAINS
      SUBROUTINE dtpsv_203(alpha,a,op_a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type, blas_conj_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('U','C','U',n,a,b,1)
      END SUBROUTINE dtpsv_203
    END MODULE dtpsv_03

    MODULE dtpsv_04

    CONTAINS
      SUBROUTINE dtpsv_204(alpha,a,op_a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_conj_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('U','C','N',n,a,b,1)
      END SUBROUTINE dtpsv_204
    END MODULE dtpsv_04

    MODULE dtpsv_05

    CONTAINS
      SUBROUTINE dtpsv_205(alpha,a,op_a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type, &
         blas_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('L','T','U',n,a,b,1)
      END SUBROUTINE dtpsv_205
    END MODULE dtpsv_05

    MODULE dtpsv_06

    CONTAINS
      SUBROUTINE dtpsv_206(alpha,a,op_a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('L','T','N',n,a,b,1)
      END SUBROUTINE dtpsv_206
    END MODULE dtpsv_06

    MODULE dtpsv_07

    CONTAINS
      SUBROUTINE dtpsv_207(alpha,a,op_a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type, blas_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('U','T','U',n,a,b,1)
      END SUBROUTINE dtpsv_207
    END MODULE dtpsv_07

    MODULE dtpsv_08

    CONTAINS
      SUBROUTINE dtpsv_208(alpha,a,op_a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('U','T','N',n,a,b,1)
      END SUBROUTINE dtpsv_208
    END MODULE dtpsv_08

    MODULE dtpsv_09

    CONTAINS
      SUBROUTINE dtpsv_209(alpha,a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('L','N','U',n,a,b,1)
      END SUBROUTINE dtpsv_209
    END MODULE dtpsv_09

    MODULE dtpsv_10

    CONTAINS
      SUBROUTINE dtpsv_210(alpha,a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('L','N','N',n,a,b,1)
      END SUBROUTINE dtpsv_210
    END MODULE dtpsv_10

    MODULE dtpsv_11

    CONTAINS
      SUBROUTINE dtpsv_211(alpha,a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('U','N','U',n,a,b,1)
      END SUBROUTINE dtpsv_211
    END MODULE dtpsv_11

    MODULE dtpsv_12

    CONTAINS
      SUBROUTINE dtpsv_212(alpha,a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        b = alpha*b
        CALL dtpsv('U','N','N',n,a,b,1)
      END SUBROUTINE dtpsv_212
    END MODULE dtpsv_12

    MODULE dtpsv_13

    CONTAINS
      SUBROUTINE dtpsv_213(a,op_a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type, &
         blas_conj_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('L','C','U',n,a,b,1)
      END SUBROUTINE dtpsv_213
    END MODULE dtpsv_13

    MODULE dtpsv_14

    CONTAINS
      SUBROUTINE dtpsv_214(a,op_a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_conj_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('L','C','N',n,a,b,1)
      END SUBROUTINE dtpsv_214
    END MODULE dtpsv_14

    MODULE dtpsv_15

    CONTAINS
      SUBROUTINE dtpsv_215(a,op_a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type, blas_conj_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('U','C','U',n,a,b,1)
      END SUBROUTINE dtpsv_215
    END MODULE dtpsv_15

    MODULE dtpsv_16

    CONTAINS
      SUBROUTINE dtpsv_216(a,op_a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_conj_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('U','C','N',n,a,b,1)
      END SUBROUTINE dtpsv_216
    END MODULE dtpsv_16

    MODULE dtpsv_17

    CONTAINS
      SUBROUTINE dtpsv_217(a,op_a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type, &
         blas_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('L','T','U',n,a,b,1)
      END SUBROUTINE dtpsv_217
    END MODULE dtpsv_17

    MODULE dtpsv_18

    CONTAINS
      SUBROUTINE dtpsv_218(a,op_a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('L','T','N',n,a,b,1)
      END SUBROUTINE dtpsv_218
    END MODULE dtpsv_18

    MODULE dtpsv_19

    CONTAINS
      SUBROUTINE dtpsv_219(a,op_a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type, blas_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('U','T','U',n,a,b,1)
      END SUBROUTINE dtpsv_219
    END MODULE dtpsv_19

    MODULE dtpsv_20

    CONTAINS
      SUBROUTINE dtpsv_220(a,op_a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('U','T','N',n,a,b,1)
      END SUBROUTINE dtpsv_220
    END MODULE dtpsv_20

    MODULE dtpsv_21

    CONTAINS
      SUBROUTINE dtpsv_221(a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type
        ! .. Scalar Arguments ..
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('L','N','U',n,a,b,1)
      END SUBROUTINE dtpsv_221
    END MODULE dtpsv_21

    MODULE dtpsv_22

    CONTAINS
      SUBROUTINE dtpsv_222(a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type
        ! .. Scalar Arguments ..
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('L','N','N',n,a,b,1)
      END SUBROUTINE dtpsv_222
    END MODULE dtpsv_22

    MODULE dtpsv_23

    CONTAINS
      SUBROUTINE dtpsv_223(a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type
        ! .. Scalar Arguments ..
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('U','N','U',n,a,b,1)
      END SUBROUTINE dtpsv_223
    END MODULE dtpsv_23

    MODULE dtpsv_24

    CONTAINS
      SUBROUTINE dtpsv_224(a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: n
        ! .. External Procedures ..
        EXTERNAL dtpsv

        n = SIZE(b)
        CALL dtpsv('U','N','N',n,a,b,1)
      END SUBROUTINE dtpsv_224
    END MODULE dtpsv_24