79 lines
3.0 KiB
C
79 lines
3.0 KiB
C
/**
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* @file fixed.h
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* @brief trig functions using fixed point
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* @details sin and cos functions. Input in decimal fixed point (units radians/1000) or
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* binary fixed point (units 2*pi/16384).
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* Output in either decimal fixed-point (units 1/10000) or binary fixed-point (units 1/65536)
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* @version TI-RSLK MAX v1.1
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* @author Daniel Valvano and Jonathan Valvano
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* @copyright Copyright 2019 by Jonathan W. Valvano, valvano@mail.utexas.edu,
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* @warning AS-IS
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* @note For more information see http://users.ece.utexas.edu/~valvano/
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* @date June 28, 2019
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******************************************************************************/
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#include <stdint.h>
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/*!
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* @defgroup Math
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* @brief
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* @{*/
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/**
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* decimal fixed-point sin****************
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* @param theta -3142 to 3142, angle is in units radians/1000
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* @return -10000 to +10000, fixed point resolution 1/10000
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* @note input theta=1571 means 90 degrees (pi/2 radians)
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* @brief decimal fixed-point sin
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*/
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int16_t fixed_sin(int32_t theta);
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/**
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* decimal fixed-point cos****************
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* @param theta -3142 to 3142, angle is in units radians/1000
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* @return -10000 to +10000, fixed point resolution 1/10000
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* @note input theta=-1571 means 90 degrees (pi/2 radians)
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* @brief decimal fixed-point cos
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*/
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int16_t fixed_cos(int32_t theta);
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/**
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* binary fixed-point sin****************
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* @param theta -8192 to 8191, angle is in units 2*pi/16384 radians (-pi to +pi)
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* @return -65536 to +65536, fixed point resolution 1/65536
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* @note input theta=-4096 means -90 degrees (pi/2 radians)
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* @brief binary fixed-point sin
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*/
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int32_t fixed_sin2(int32_t theta);
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/**
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* binaryfixed-point cos****************
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* @param theta -8192 to 8191, angle is in units 2*pi/16384 radians (-pi to +pi)
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* @return -65536 to +65536, fixed point resolution 1/65536
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* @note input theta=4096 means 90 degrees (pi/2 radians)
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* @brief binary fixed-point cos
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*/
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int32_t fixed_cos2(int32_t theta);
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/**
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* binary fixed-point sin****************<br>
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* e.g., 359.3degrees (2pi radians) theta=539 sin540(539) = -763 (-0.0116)<br>
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* e.g., 270 degrees (3pi/4 radians) theta=405 sin540(405) = -65536 (-1)<br>
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* e.g., 180 degrees (pi radians) theta=270 sin540(270) = 0 (0)<br>
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* e.g., 90 degrees (pi/2 radians) theta=135 sin540(135) = 65536 (+1)<br>
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* e.g., 45 degrees (pi/4 radians) theta= 67 sin540(67) = 46071 (sqrt(2)/2)<br>
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* e.g., 0 degrees (0 radians) theta= 0 sin540(0) = 0 (0)<br>
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* @param theta 0 to 539, angle is in units 2*pi/540 = 0.011635528 radians (0 to 2pi)
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* @return -65536 to +65536, fixed point resolution 1/65536
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* @brief binary fixed-point sin
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*/
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int32_t sin540(int32_t theta);
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/**
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* binaryfixed-point cos****************
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* @param theta 0 to 539, angle is in units 2*pi/540 = 0.011635528 radians (0 to 2pi)
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* @return -65536 to +65536, fixed point resolution 1/65536
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* @note input theta=4096 means 90 degrees (pi/2 radians)
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* @brief binary fixed-point cos
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*/
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int32_t cos540(int32_t theta);
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