You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
170 lines
3.8 KiB
170 lines
3.8 KiB
/*
|
|
* Functions.c
|
|
*
|
|
* Created on: 23.07.2018
|
|
* Author: ed
|
|
*/
|
|
#include "Functions.h"
|
|
|
|
int32_t tmc_limitInt(int32_t value, int32_t min, int32_t max)
|
|
{
|
|
if (value > max)
|
|
return max;
|
|
else if (value < min)
|
|
return min;
|
|
else
|
|
return value;
|
|
}
|
|
|
|
int64_t tmc_limitS64(int64_t value, int64_t min, int64_t max)
|
|
{
|
|
if (value > max)
|
|
return max;
|
|
else if (value < min)
|
|
return min;
|
|
else
|
|
return value;
|
|
}
|
|
|
|
/* lookup table for square root function */
|
|
static const unsigned char sqrttable[256] =
|
|
{
|
|
0, 16, 22, 27, 32, 35, 39, 42, 45, 48, 50, 53, 55, 57, 59, 61,
|
|
64, 65, 67, 69, 71, 73, 75, 76, 78, 80, 81, 83, 84, 86, 87, 89,
|
|
90, 91, 93, 94, 96, 97, 98, 99, 101, 102, 103, 104, 106, 107, 108, 109,
|
|
110, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126,
|
|
128, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142,
|
|
143, 144, 144, 145, 146, 147, 148, 149, 150, 150, 151, 152, 153, 154, 155, 155,
|
|
156, 157, 158, 159, 160, 160, 161, 162, 163, 163, 164, 165, 166, 167, 167, 168,
|
|
169, 170, 170, 171, 172, 173, 173, 174, 175, 176, 176, 177, 178, 178, 179, 180,
|
|
181, 181, 182, 183, 183, 184, 185, 185, 186, 187, 187, 188, 189, 189, 190, 191,
|
|
192, 192, 193, 193, 194, 195, 195, 196, 197, 197, 198, 199, 199, 200, 201, 201,
|
|
202, 203, 203, 204, 204, 205, 206, 206, 207, 208, 208, 209, 209, 210, 211, 211,
|
|
212, 212, 213, 214, 214, 215, 215, 216, 217, 217, 218, 218, 219, 219, 220, 221,
|
|
221, 222, 222, 223, 224, 224, 225, 225, 226, 226, 227, 227, 228, 229, 229, 230,
|
|
230, 231, 231, 232, 232, 233, 234, 234, 235, 235, 236, 236, 237, 237, 238, 238,
|
|
239, 240, 240, 241, 241, 242, 242, 243, 243, 244, 244, 245, 245, 246, 246, 247,
|
|
247, 248, 248, 249, 249, 250, 250, 251, 251, 252, 252, 253, 253, 254, 254, 255
|
|
};
|
|
|
|
int32_t tmc_sqrti(int32_t x)
|
|
{
|
|
int32_t xn;
|
|
|
|
// Negative parameter?
|
|
if (x < 0)
|
|
return -1;
|
|
|
|
if (x < 0x0100)
|
|
return (int) sqrttable[x] >> 4;
|
|
|
|
if (x >= 0x00010000)
|
|
{
|
|
if (x >= 0x01000000)
|
|
{
|
|
if (x >= 0x10000000)
|
|
{
|
|
if (x >= 0x40000000)
|
|
{
|
|
// 0x40000000 <= x < 0x7FFFFFFF
|
|
xn = (int) sqrttable[x >> 24] << 8;
|
|
}
|
|
else
|
|
{
|
|
// 0x10000000 <= x < 0x40000000
|
|
xn = (int) sqrttable[x >> 22] << 7;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (x >= 0x04000000)
|
|
{
|
|
// 0x04000000 <= x < 0x10000000
|
|
xn = (int) sqrttable[x >> 20] << 6;
|
|
}
|
|
else
|
|
{
|
|
// 0x01000000 <= x < 0x04000000
|
|
xn = (int) sqrttable[x >> 18] << 5;
|
|
}
|
|
}
|
|
|
|
// Two steps of the babylonian method
|
|
xn = (xn + 1 + (x / xn)) >> 1;
|
|
xn = (xn + 1 + (x / xn)) >> 1;
|
|
}
|
|
else
|
|
{
|
|
if (x >= 0x00100000)
|
|
{
|
|
if (x >= 0x00400000)
|
|
{
|
|
// 0x00400000 <= x < 0x01000000
|
|
xn = (int) sqrttable[x >> 16] << 4;
|
|
}
|
|
else
|
|
{
|
|
// 0x00100000 <= x < 0x00400000
|
|
xn = (int) sqrttable[x >> 14] << 3;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (x >= 0x00040000)
|
|
{
|
|
// 0x00040000 <= x < 0x00100000
|
|
xn = (int) sqrttable[x >> 12] << 2;
|
|
}
|
|
else
|
|
{
|
|
// 0x00010000 <= x < 0x00040000
|
|
xn = (int) sqrttable[x >> 10] << 1;
|
|
}
|
|
}
|
|
|
|
// One step of the babylonian method
|
|
xn = (xn + 1 + (x / xn)) >> 1;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (x >= 0x1000)
|
|
{
|
|
if (x >= 0x4000)
|
|
{
|
|
// 0x4000 <= x < 0x00010000
|
|
xn = (int) (sqrttable[x >> 8] ) + 1;
|
|
}
|
|
else
|
|
{
|
|
// 0x1000 <= x < 0x4000
|
|
xn = (int) (sqrttable[x >> 6] >> 1) + 1;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (x >= 0x0400)
|
|
{
|
|
// 0x0400 <= x < 0x1000
|
|
xn = (int) (sqrttable[x >> 4] >> 2) + 1;
|
|
}
|
|
else
|
|
{
|
|
// 0x0100 <= x < 0x0400
|
|
xn = (int) (sqrttable[x >> 2] >> 3) + 1;
|
|
}
|
|
}
|
|
}
|
|
|
|
// Make sure that our result is floored
|
|
if ((xn * xn) > x)
|
|
xn--;
|
|
|
|
return xn;
|
|
}
|
|
|
|
int32_t tmc_filterPT1(int64_t *akku, int32_t newValue, int32_t lastValue, uint8_t actualFilter, uint8_t maxFilter)
|
|
{
|
|
*akku += (newValue-lastValue) << (maxFilter-actualFilter);
|
|
return *akku >> maxFilter;
|
|
}
|