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hekate/bdk/libs/lvgl/lv_misc/lv_math.c

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/**
* @file lv_math.c
*
*/
/*********************
* INCLUDES
*********************/
#include "lv_math.h"
#include <stdbool.h>
/*********************
* DEFINES
*********************/
/**********************
* TYPEDEFS
**********************/
/**********************
* STATIC PROTOTYPES
**********************/
/**********************
* STATIC VARIABLES
**********************/
static int16_t sin0_90_table[] = {
0, 572, 1144, 1715, 2286, 2856, 3425, 3993, 4560, 5126,
5690, 6252, 6813, 7371, 7927, 8481, 9032, 9580, 10126, 10668,
11207, 11743, 12275, 12803, 13328, 13848, 14364, 14876, 15383, 15886,
16383, 16876, 17364, 17846, 18323, 18794, 19260, 19720, 20173, 20621,
21062, 21497, 21925, 22347, 22762, 23170, 23571, 23964, 24351, 24730,
25101, 25465, 25821, 26169, 26509, 26841, 27165, 27481, 27788, 28087,
28377, 28659, 28932, 29196, 29451, 29697, 29934, 30162, 30381, 30591,
30791, 30982, 31163, 31335, 31498, 31650, 31794, 31927, 32051, 32165,
32269, 32364, 32448, 32523, 32587, 32642, 32687, 32722, 32747, 32762,
32767
};
/**********************
* MACROS
**********************/
/**********************
* GLOBAL FUNCTIONS
**********************/
/**
* Convert a number to string
* @param num a number
* @param buf pointer to a `char` buffer. The result will be stored here (max 10 elements)
* @return same as `buf` (just for convenience)
*/
char * lv_math_num_to_str(int32_t num, char * buf)
{
char * buf_ori = buf;
if(num == 0) {
buf[0] = '0';
buf[1] = '\0';
return buf;
} else if(num < 0) {
(*buf) = '-';
buf++;
num = LV_MATH_ABS(num);
}
uint32_t output = 0;
int8_t i;
for(i = 31; i >= 0; i--) {
if((output & 0xF) >= 5)
output += 3;
if(((output & 0xF0) >> 4) >= 5)
output += (3 << 4);
if(((output & 0xF00) >> 8) >= 5)
output += (3 << 8);
if(((output & 0xF000) >> 12) >= 5)
output += (3 << 12);
if(((output & 0xF0000) >> 16) >= 5)
output += (3 << 16);
if(((output & 0xF00000) >> 20) >= 5)
output += (3 << 20);
if(((output & 0xF000000) >> 24) >= 5)
output += (3 << 24);
if(((output & 0xF0000000) >> 28) >= 5)
output += (3 << 28);
output = (output << 1) | ((num >> i) & 1);
}
uint8_t digit;
bool leading_zero_ready = false;
for(i = 28; i >= 0; i -= 4) {
digit = ((output >> i) & 0xF) + '0';
if(digit == '0' && leading_zero_ready == false) continue;
leading_zero_ready = true;
(*buf) = digit;
buf++;
}
(*buf) = '\0';
return buf_ori;
}
/**
* Return with sinus of an angle
* @param angle
* @return sinus of 'angle'. sin(-90) = -32767, sin(90) = 32767
*/
int16_t lv_trigo_sin(int16_t angle)
{
int16_t ret = 0;
angle = angle % 360;
if(angle < 0) angle = 360 + angle;
if(angle < 90) {
ret = sin0_90_table[angle];
} else if(angle >= 90 && angle < 180) {
angle = 180 - angle;
ret = sin0_90_table[angle];
} else if(angle >= 180 && angle < 270) {
angle = angle - 180;
ret = - sin0_90_table[angle];
} else { /*angle >=270*/
angle = 360 - angle;
ret = - sin0_90_table[angle];
}
return ret;
}
/**
* Calculate a value of a Cubic Bezier function.
* @param t time in range of [0..LV_BEZIER_VAL_MAX]
* @param u0 start values in range of [0..LV_BEZIER_VAL_MAX]
* @param u1 control value 1 values in range of [0..LV_BEZIER_VAL_MAX]
* @param u2 control value 2 in range of [0..LV_BEZIER_VAL_MAX]
* @param u3 end values in range of [0..LV_BEZIER_VAL_MAX]
* @return the value calculated from the given parameters in range of [0..LV_BEZIER_VAL_MAX]
*/
int32_t lv_bezier3(uint32_t t, int32_t u0, int32_t u1, int32_t u2, int32_t u3)
{
uint32_t t_rem = 1024 - t;
uint32_t t_rem2 = (t_rem * t_rem) >> 10;
uint32_t t_rem3 = (t_rem2 * t_rem) >> 10;
uint32_t t2 = (t * t) >> 10;
uint32_t t3 = (t2 * t) >> 10;
uint32_t v1 = ((uint32_t)t_rem3 * u0) >> 10;
uint32_t v2 = ((uint32_t)3 * t_rem2 * t * u1) >> 20;
uint32_t v3 = ((uint32_t)3 * t_rem * t2 * u2) >> 20;
uint32_t v4 = ((uint32_t)t3 * u3) >> 10;
return v1 + v2 + v3 + v4;
}
/**********************
* STATIC FUNCTIONS
**********************/