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			202 lines
		
	
	
		
			3.7 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			202 lines
		
	
	
		
			3.7 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
| /* ----------------------------------------------------------------------
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|  * Project:      CMSIS DSP Library
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|  * Title:        arm_atan2_q15.c
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|  * Description:  float32 Arc tangent of y/x
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|  *
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|  * $Date:        22 April 2022
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|  * $Revision:    V1.10.0
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|  *
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|  * Target Processor: Cortex-M and Cortex-A cores
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|  * -------------------------------------------------------------------- */
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| /*
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|  * Copyright (C) 2010-2022 ARM Limited or its affiliates. All rights reserved.
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|  *
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|  * SPDX-License-Identifier: Apache-2.0
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|  *
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|  * Licensed under the Apache License, Version 2.0 (the License); you may
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|  * not use this file except in compliance with the License.
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|  * You may obtain a copy of the License at
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|  *
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|  * www.apache.org/licenses/LICENSE-2.0
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|  *
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|  * Unless required by applicable law or agreed to in writing, software
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|  * distributed under the License is distributed on an AS IS BASIS, WITHOUT
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|  * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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|  * See the License for the specific language governing permissions and
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|  * limitations under the License.
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|  */
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| 
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| #include "dsp/fast_math_functions.h"        
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| #include "dsp/utils.h"        
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| 
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| /*
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| 
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| atan for argument between in [0, 1.0]
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| 
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| */
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| 
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| 
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| /* Q2.13 */
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| #define ATANHALFQ13 0xed6
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| #define PIHALFQ13 0x3244
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| #define PIQ13 0x6488
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| 
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| #define ATAN2_NB_COEFS_Q15 10
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| 
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| static const q15_t atan2_coefs_q15[ATAN2_NB_COEFS_Q15]={0x0000
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| ,0x7fff
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| ,0xffff
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| ,0xd567
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| ,0xff70
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| ,0x1bad
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| ,0xfd58
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| ,0xe9a9
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| ,0x1129
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| ,0xfbdb
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| };
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| 
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| __STATIC_FORCEINLINE q15_t arm_atan_limited_q15(q15_t x)
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| {
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|     q31_t res=(q31_t)atan2_coefs_q15[ATAN2_NB_COEFS_Q15-1];
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|     int i=1;
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|     for(i=1;i<ATAN2_NB_COEFS_Q15;i++)
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|     {
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|         res = ((q31_t) x * res) >> 15U;
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|         res = res + ((q31_t) atan2_coefs_q15[ATAN2_NB_COEFS_Q15-1-i]) ;
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|     }
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| 
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|     res = __SSAT(res>>2,16);
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| 
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|     
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|     return(res);
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| }
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| 
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| 
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| __STATIC_FORCEINLINE q15_t arm_atan_q15(q15_t y,q15_t x)
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| {
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|    int sign=0;
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|    q15_t res=0;
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| 
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|    if (y<0)
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|    {
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|      arm_negate_q15(&y,&y,1);
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|      sign=1-sign;
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|    }
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| 
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|    if (x < 0)
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|    {
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|       sign=1 - sign;
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|       arm_negate_q15(&x,&x,1);
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|    }
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| 
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|    if (y > x)
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|    {
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|     q15_t ratio;
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|     int16_t shift;
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| 
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|     arm_divide_q15(x,y,&ratio,&shift);
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| 
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|     arm_shift_q15(&ratio,shift,&ratio,1);
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|    
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|     res = PIHALFQ13 - arm_atan_limited_q15(ratio);
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|       
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|    }
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|    else
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|    {
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|     q15_t ratio;
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|     int16_t shift;
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| 
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|     arm_divide_q15(y,x,&ratio,&shift);
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| 
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|     arm_shift_q15(&ratio,shift,&ratio,1);
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| 
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|     res = arm_atan_limited_q15(ratio);
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| 
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|    }
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| 
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| 
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|    if (sign)
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|    {
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|      arm_negate_q15(&res,&res,1);
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|    }
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| 
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|    return(res);
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| }
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| 
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| 
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| /**
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|   @ingroup groupFastMath
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|  */
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| 
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| 
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| /**
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|   @addtogroup atan2
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|   @{
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|  */
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| 
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| /**
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|   @brief       Arc Tangent of y/x using sign of y and x to get right quadrant
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|   @param[in]   y  y coordinate
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|   @param[in]   x  x coordinate
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|   @param[out]  result  Result in Q2.13
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|   @return  error status.
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|  
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|   @par         Compute the Arc tangent of y/x:
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|                    The sign of y and x are used to determine the right quadrant
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|                    and compute the right angle.
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| */
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| 
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| 
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| arm_status arm_atan2_q15(q15_t y,q15_t x,q15_t *result)
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| {
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|     if (x > 0)
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|     {
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|         *result=arm_atan_q15(y,x);
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|         return(ARM_MATH_SUCCESS);
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|     }
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|     if (x < 0)
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|     {
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|         if (y > 0)
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|         {
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|            *result=arm_atan_q15(y,x) + PIQ13;
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|         }
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|         else if (y < 0)
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|         {
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|            *result=arm_atan_q15(y,x) - PIQ13;
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|         }
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|         else
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|         {
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|             if (y<0)
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|             {
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|                *result= -PIQ13;
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|             }
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|             else
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|             {
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|                *result= PIQ13;
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|             }
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|         }
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|         return(ARM_MATH_SUCCESS);
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|     }
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|     if (x == 0)
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|     {
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|         if (y > 0)
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|         {
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|             *result=PIHALFQ13;
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|             return(ARM_MATH_SUCCESS);
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|         }
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|         if (y < 0)
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|         {
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|             *result=-PIHALFQ13;
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|             return(ARM_MATH_SUCCESS);
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|         }
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|     }
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|     
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| 
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|     return(ARM_MATH_NANINF);
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| 
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| }
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| 
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| /**
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|   @} end of atan2 group
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|  */
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