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+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_ldl_f64.c
+ * Description: Floating-point LDL decomposition
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+#include <math.h>
+
+
+
+/// @private
+#define SWAP_ROWS_F64(A,i,j) \
+{ \
+ int w; \
+ for(w=0;w < n; w++) \
+ { \
+ float64_t tmp; \
+ tmp = A[i*n + w]; \
+ A[i*n + w] = A[j*n + w];\
+ A[j*n + w] = tmp; \
+ } \
+}
+
+/// @private
+#define SWAP_COLS_F64(A,i,j) \
+{ \
+ int w; \
+ for(w=0;w < n; w++) \
+ { \
+ float64_t tmp; \
+ tmp = A[w*n + i]; \
+ A[w*n + i] = A[w*n + j];\
+ A[w*n + j] = tmp; \
+ } \
+}
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixChol
+ @{
+ */
+
+/**
+ * @brief Floating-point LDL^t decomposition of positive semi-definite matrix.
+ * @param[in] pSrc points to the instance of the input floating-point matrix structure.
+ * @param[out] pl points to the instance of the output floating-point triangular matrix structure.
+ * @param[out] pd points to the instance of the output floating-point diagonal matrix structure.
+ * @param[out] pp points to the instance of the output floating-point permutation vector.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ - \ref ARM_MATH_DECOMPOSITION_FAILURE : Input matrix cannot be decomposed
+ * @par
+ * Computes the LDL^t decomposition of a matrix A such that P A P^t = L D L^t.
+ */
+
+arm_status arm_mat_ldlt_f64(
+ const arm_matrix_instance_f64 * pSrc,
+ arm_matrix_instance_f64 * pl,
+ arm_matrix_instance_f64 * pd,
+ uint16_t * pp)
+{
+
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pl->numRows != pl->numCols) ||
+ (pd->numRows != pd->numCols) ||
+ (pl->numRows != pd->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ const int n=pSrc->numRows;
+ int fullRank = 1, diag,k;
+ float64_t *pA;
+
+ memset(pd->pData,0,sizeof(float64_t)*n*n);
+
+ memcpy(pl->pData,pSrc->pData,n*n*sizeof(float64_t));
+ pA = pl->pData;
+
+ for(k=0;k < n; k++)
+ {
+ pp[k] = k;
+ }
+
+
+ for(k=0;k < n; k++)
+ {
+ /* Find pivot */
+ float64_t m=F64_MIN,a;
+ int w,r,j=k;
+
+
+ for(r=k;r<n;r++)
+ {
+ if (pA[r*n+r] > m)
+ {
+ m = pA[r*n+r];
+ j = r;
+ }
+ }
+
+ if(j != k)
+ {
+ SWAP_ROWS_F64(pA,k,j);
+ SWAP_COLS_F64(pA,k,j);
+ }
+
+
+ pp[k] = j;
+
+ a = pA[k*n+k];
+
+ if (fabs(a) < 1.0e-18)
+ {
+
+ fullRank = 0;
+ break;
+ }
+
+ for(w=k+1;w<n;w++)
+ {
+ int x;
+ for(x=k+1;x<n;x++)
+ {
+ pA[w*n+x] = pA[w*n+x] - pA[w*n+k] * pA[x*n+k] / a;
+ }
+ }
+
+ for(w=k+1;w<n;w++)
+ {
+ pA[w*n+k] = pA[w*n+k] / a;
+ }
+
+
+
+ }
+
+
+
+ diag=k;
+ if (!fullRank)
+ {
+ diag--;
+ {
+ int row;
+ for(row=0; row < n;row++)
+ {
+ int col;
+ for(col=k; col < n;col++)
+ {
+ pl->pData[row*n+col]=0.0;
+ }
+ }
+ }
+ }
+
+ {
+ int row;
+ for(row=0; row < n;row++)
+ {
+ int col;
+ for(col=row+1; col < n;col++)
+ {
+ pl->pData[row*n+col] = 0.0;
+ }
+ }
+ }
+
+ {
+ int d;
+ for(d=0; d < diag;d++)
+ {
+ pd->pData[d*n+d] = pl->pData[d*n+d];
+ pl->pData[d*n+d] = 1.0;
+ }
+ }
+
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of MatrixChol group
+ */