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1 /* ----------------------------------------------------------------------
2  * Project:      CMSIS DSP Library
3  * Title:        arm_linear_interp_q7.c
4  * Description:  Q7 linear interpolation
5  *
6  * $Date:        23 April 2021
7  * $Revision:    V1.9.0
8  *
9  * Target Processor: Cortex-M and Cortex-A cores
10  * -------------------------------------------------------------------- */
11 /*
12  * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
13  *
14  * SPDX-License-Identifier: Apache-2.0
15  *
16  * Licensed under the Apache License, Version 2.0 (the License); you may
17  * not use this file except in compliance with the License.
18  * You may obtain a copy of the License at
19  *
20  * www.apache.org/licenses/LICENSE-2.0
21  *
22  * Unless required by applicable law or agreed to in writing, software
23  * distributed under the License is distributed on an AS IS BASIS, WITHOUT
24  * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
25  * See the License for the specific language governing permissions and
26  * limitations under the License.
27  */
28 
29 #include "dsp/interpolation_functions.h"
30 
31 /**
32   @ingroup groupInterpolation
33  */
34 
35 
36 /**
37    * @addtogroup BilinearInterpolate
38    * @{
39    */
40 
41 /**
42   * @brief  Q7 bilinear interpolation.
43   * @param[in,out] S  points to an instance of the interpolation structure.
44   * @param[in]     X  interpolation coordinate in 12.20 format.
45   * @param[in]     Y  interpolation coordinate in 12.20 format.
46   * @return out interpolated value.
47   */
arm_bilinear_interp_q7(arm_bilinear_interp_instance_q7 * S,q31_t X,q31_t Y)48   q7_t arm_bilinear_interp_q7(
49   arm_bilinear_interp_instance_q7 * S,
50   q31_t X,
51   q31_t Y)
52   {
53     q63_t acc = 0;                               /* output */
54     q31_t out;                                   /* Temporary output */
55     q31_t xfract, yfract;                        /* X, Y fractional parts */
56     q7_t x1, x2, y1, y2;                         /* Nearest output values */
57     int32_t rI, cI;                              /* Row and column indices */
58     q7_t *pYData = S->pData;                     /* pointer to output table values */
59     uint32_t nCols = S->numCols;                 /* num of rows */
60 
61     /* Input is in 12.20 format */
62     /* 12 bits for the table index */
63     /* Index value calculation */
64     rI = ((X & (q31_t)0xFFF00000) >> 20);
65 
66     /* Input is in 12.20 format */
67     /* 12 bits for the table index */
68     /* Index value calculation */
69     cI = ((Y & (q31_t)0xFFF00000) >> 20);
70 
71     /* Care taken for table outside boundary */
72     /* Returns zero output when values are outside table boundary */
73     if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2))
74     {
75       return (0);
76     }
77 
78     /* 20 bits for the fractional part */
79     /* xfract should be in 12.20 format */
80     xfract = (X & (q31_t)0x000FFFFF);
81 
82     /* Read two nearest output values from the index */
83     x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI)    ];
84     x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1];
85 
86     /* 20 bits for the fractional part */
87     /* yfract should be in 12.20 format */
88     yfract = (Y & (q31_t)0x000FFFFF);
89 
90     /* Read two nearest output values from the index */
91     y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1)    ];
92     y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1];
93 
94     /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */
95     out = ((x1 * (0xFFFFF - xfract)));
96     acc = (((q63_t) out * (0xFFFFF - yfract)));
97 
98     /* x2 * (xfract) * (1-yfract)  in 2.22 and adding to acc */
99     out = ((x2 * (0xFFFFF - yfract)));
100     acc += (((q63_t) out * (xfract)));
101 
102     /* y1 * (1 - xfract) * (yfract)  in 2.22 and adding to acc */
103     out = ((y1 * (0xFFFFF - xfract)));
104     acc += (((q63_t) out * (yfract)));
105 
106     /* y2 * (xfract) * (yfract)  in 2.22 and adding to acc */
107     out = ((y2 * (yfract)));
108     acc += (((q63_t) out * (xfract)));
109 
110     /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */
111     return ((q7_t)(acc >> 40));
112   }
113 
114   /**
115    * @} end of BilinearInterpolate group
116    */
117 
118