#ifndef _P_MATRIX_OP_H_
#define _P_MATRIX_OP_H_
///  @file  parallel_matrix_op.h
///  @brief Librarys for operations of batched matrixes.
///
///

////////////////  Section:  triangle matrix <-> rectangle matrix   ///////////////////////////////////

///
/// @brief  Calculate the corresponding index in an array for an upper-triangle(UT) matrix.
///
/// @param[in]  i_row     - the i-th row in an upper-triangle matrix.
/// @param[in]  j_col     - the j-th column in an upper-triangle matrix.
/// @param[in]  dim       - the dimension of the upper-triangle matrix, i.e., an dim x dim matrix.
/// @return  the corresponding index in an array storage.
///
unsigned PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_idx_of_trimat(unsigned i_row, unsigned j_col, unsigned dim);

///
/// @brief  Upper trianglize a rectangle matrix to the corresponding upper-trangle matrix.
///
/// @param[out]  btriC    - the batched upper-trianglized matrix C.
/// @param[in]   bA       - a batched retangle matrix A.
/// @param[in]   bwidth   - the width of the batched matrix A, i.e., A is a Awidth x Awidth matrix.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_UpperTrianglize(unsigned char *btriC, const unsigned char *bA, unsigned Awidth, unsigned size_batch);

////////////////////  Section:  matrix multiplications  ///////////////////////////////

///
/// @brief  bC += btriA * B  , in GF(16)
///
/// @param[out]  bC         - the batched matrix C.
/// @param[in]   btriA      - a batched UT matrix A.
/// @param[in]   B          - a column-major matrix B.
/// @param[in]   Bheight          - the height of B.
/// @param[in]   size_Bcolvec     - the size of the column vector in B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_trimat_madd_gf16(unsigned char *bC, const unsigned char *btriA,
        const unsigned char *B, unsigned Bheight, unsigned size_Bcolvec, unsigned Bwidth, unsigned size_batch);

///
/// @brief  bC += btriA * B  , in GF(256)
///
/// @param[out]  bC         - the batched matrix C.
/// @param[in]   btriA      - a batched UT matrix A.
/// @param[in]   B          - a column-major matrix B.
/// @param[in]   Bheight          - the height of B.
/// @param[in]   size_Bcolvec     - the size of the column vector in B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_trimat_madd_gf256(unsigned char *bC, const unsigned char *btriA,
        const unsigned char *B, unsigned Bheight, unsigned size_Bcolvec, unsigned Bwidth, unsigned size_batch);

///
/// @brief  bC += btriA^Tr * B  , in GF(16)
///
/// @param[out]  bC         - the batched matrix C.
/// @param[in]   btriA      - a batched UT matrix A. A will be transposed while multiplying.
/// @param[in]   B          - a column-major matrix B.
/// @param[in]   Bheight          - the height of B.
/// @param[in]   size_Bcolvec     - the size of the column vector in B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_trimatTr_madd_gf16(unsigned char *bC, const unsigned char *btriA,
        const unsigned char *B, unsigned Bheight, unsigned size_Bcolvec, unsigned Bwidth, unsigned size_batch);

///
/// @brief  bC += btriA^Tr * B  , in GF(256)
///
/// @param[out]  bC         - the batched matrix C.
/// @param[in]   btriA      - a batched UT matrix A, which will be transposed while multiplying.
/// @param[in]   B          - a column-major matrix B.
/// @param[in]   Bheight          - the height of B.
/// @param[in]   size_Bcolvec     - the size of the column vector in B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_trimatTr_madd_gf256(unsigned char *bC, const unsigned char *btriA,
        const unsigned char *B, unsigned Bheight, unsigned size_Bcolvec, unsigned Bwidth, unsigned size_batch);

///
/// @brief  bC +=  (btriA + btriA^Tr) *B  , in GF(16)
///
/// @param[out]  bC         - the batched matrix C.
/// @param[in]   btriA      - a batched UT matrix A. The operand for multiplication is (btriA + btriA^Tr).
/// @param[in]   B          - a column-major matrix B.
/// @param[in]   Bheight          - the height of B.
/// @param[in]   size_Bcolvec     - the size of the column vector in B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_2trimat_madd_gf16(unsigned char *bC, const unsigned char *btriA,
        const unsigned char *B, unsigned Bheight, unsigned size_Bcolvec, unsigned Bwidth, unsigned size_batch);

///
/// @brief  bC +=  (btriA + btriA^Tr) *B  , in GF(256)
///
/// @param[out]  bC         - the batched matrix C.
/// @param[in]   btriA      - a batched UT matrix A. The operand for multiplication is (btriA + btriA^Tr).
/// @param[in]   B          - a column-major matrix B.
/// @param[in]   Bheight          - the height of B.
/// @param[in]   size_Bcolvec     - the size of the column vector in B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_2trimat_madd_gf256(unsigned char *bC, const unsigned char *btriA,
        const unsigned char *B, unsigned Bheight, unsigned size_Bcolvec, unsigned Bwidth, unsigned size_batch);

///
/// @brief  bC += A^Tr * bB  , in GF(16)
///
/// @param[out]  bC           - the batched matrix C.
/// @param[in]   A_to_tr      - a column-major matrix A. The operand for multiplication is A^Tr.
/// @param[in]   Aheight      - the height of A.
/// @param[in]   size_Acolvec    - the size of a column vector in A.
/// @param[in]   Awidth           - the width of A.
/// @param[in]   bB          - a batched matrix B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_matTr_madd_gf16(unsigned char *bC,
        const unsigned char *A_to_tr, unsigned Aheight, unsigned size_Acolvec, unsigned Awidth,
        const unsigned char *bB, unsigned Bwidth, unsigned size_batch);

///
/// @brief  bC += A^Tr * bB  , in GF(256)
///
/// @param[out]  bC           - the batched matrix C.
/// @param[in]   A_to_tr      - a column-major matrix A. The operand for multiplication is A^Tr.
/// @param[in]   Aheight      - the height of A.
/// @param[in]   size_Acolvec    - the size of a column vector in A.
/// @param[in]   Awidth           - the width of A.
/// @param[in]   bB          - a batched matrix B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_matTr_madd_gf256(unsigned char *bC,
        const unsigned char *A_to_tr, unsigned Aheight, unsigned size_Acolvec, unsigned Awidth,
        const unsigned char *bB, unsigned Bwidth, unsigned size_batch);

///
/// @brief  bC += bA^Tr * B  , in GF(16)
///
/// @param[out]  bC         - the batched matrix C.
/// @param[in]   bA_to_tr   - a batched matrix A. The operand for multiplication is (bA^Tr).
/// @param[in]   Awidth_befor_tr     - the width of A.
/// @param[in]   B          - a column-major matrix B.
/// @param[in]   Bheight          - the height of B.
/// @param[in]   size_Bcolvec     - the size of the column vector in B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_bmatTr_madd_gf16(unsigned char *bC, const unsigned char *bA_to_tr, unsigned Awidth_before_tr,
        const unsigned char *B, unsigned Bheight, unsigned size_Bcolvec, unsigned Bwidth, unsigned size_batch);

///
/// @brief  bC += bA^Tr * B  , in GF(256)
///
/// @param[out]  bC         - the batched matrix C.
/// @param[in]   bA_to_tr   - a batched matrix A. The operand for multiplication is (bA^Tr).
/// @param[in]   Awidth_befor_tr     - the width of A.
/// @param[in]   B          - a column-major matrix B.
/// @param[in]   Bheight          - the height of B.
/// @param[in]   size_Bcolvec     - the size of the column vector in B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_bmatTr_madd_gf256(unsigned char *bC, const unsigned char *bA_to_tr, unsigned Awidth_before_tr,
        const unsigned char *B, unsigned Bheight, unsigned size_Bcolvec, unsigned Bwidth, unsigned size_batch);

///
/// @brief  bC += bA * B  , in GF(16)
///
/// @param[out]  bC         - the batched matrix C.
/// @param[in]   bA         - a batched matrix A.
/// @param[in]   Aheigh     - the height of A.
/// @param[in]   B          - a column-major matrix B.
/// @param[in]   Bheight          - the height of B.
/// @param[in]   size_Bcolvec     - the size of the column vector in B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_mat_madd_gf16(unsigned char *bC, const unsigned char *bA, unsigned Aheight,
        const unsigned char *B, unsigned Bheight, unsigned size_Bcolvec, unsigned Bwidth, unsigned size_batch);

///
/// @brief  bC += bA * B  , in GF(256)
///
/// @param[out]  bC         - the batched matrix C.
/// @param[in]   bA         - a batched matrix A.
/// @param[in]   Aheigh     - the height of A.
/// @param[in]   B          - a column-major matrix B.
/// @param[in]   Bheight          - the height of B.
/// @param[in]   size_Bcolvec     - the size of the column vector in B.
/// @param[in]   Bwidth           - the width of B.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_mat_madd_gf256(unsigned char *bC, const unsigned char *bA, unsigned Aheight,
        const unsigned char *B, unsigned Bheight, unsigned size_Bcolvec, unsigned Bwidth, unsigned size_batch);

////////////////////  Section: "quadratric" matrix evaluation  ///////////////////////////////

///
/// @brief  y =  x^Tr * trimat * x  , in GF(16)
///
/// @param[out]  y          - the returned batched element y.
/// @param[in]   trimat     - a batched matrix.
/// @param[in]   x          - an input vector x.
/// @param[in]   dim        - the dimension of matrix trimat (and x).
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_quad_trimat_eval_gf16(unsigned char *y, const unsigned char *trimat, const unsigned char *x, unsigned dim, unsigned size_batch);

///
/// @brief  y =  x^Tr * trimat * x  , in GF(256)
///
/// @param[out]  y          - the returned batched element y.
/// @param[in]   trimat     - a batched matrix.
/// @param[in]   x          - an input vector x.
/// @param[in]   dim        - the dimension of matrix trimat (and x).
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_quad_trimat_eval_gf256(unsigned char *y, const unsigned char *trimat, const unsigned char *x, unsigned dim, unsigned size_batch);

///
/// @brief  z =  y^Tr * mat * x  , in GF(16)
///
/// @param[out]  z          - the returned batched element z.
/// @param[in]   y          - an input vector y.
/// @param[in]   dim_y      - the length of y.
/// @param[in]   mat        - a batched matrix.
/// @param[in]   x          - an input vector x.
/// @param[in]   dim_x        - the length of x.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_quad_recmat_eval_gf16(unsigned char *z, const unsigned char *y, unsigned dim_y,
        const unsigned char *mat, const unsigned char *x, unsigned dim_x, unsigned size_batch);

///
/// @brief  z =  y^Tr * mat * x  , in GF(256)
///
/// @param[out]  z          - the returned batched element z.
/// @param[in]   y          - an input vector y.
/// @param[in]   dim_y      - the length of y.
/// @param[in]   mat        - a batched matrix.
/// @param[in]   x          - an input vector x.
/// @param[in]   dim_x        - the length of x.
/// @param[in]   size_batch - number of the batched elements in the corresponding position of the matrix.
///
void PQCLEAN_RAINBOWIACYCLICCOMPRESSED_CLEAN_batch_quad_recmat_eval_gf256(unsigned char *z, const unsigned char *y, unsigned dim_y,
        const unsigned char *mat, const unsigned char *x, unsigned dim_x, unsigned size_batch);

#endif // _P_MATRIX_OP_H_