mirror of
https://github.com/RobTillaart/Arduino.git
synced 2024-10-03 18:09:02 -04:00
248 lines
4.9 KiB
C
248 lines
4.9 KiB
C
//
|
|
// FILE: MathHelpers.h
|
|
// AUTHOR: Rob Tillaart
|
|
// DATE: 2018-01-21
|
|
// VERSION: 0.1.1
|
|
//
|
|
//
|
|
// PUPROSE: misc functions for math and time
|
|
//
|
|
#ifndef MATHHELPERS
|
|
#define MATHHELPERS
|
|
|
|
#define MATHHELPERS_VERSION (F("0.1.1"))
|
|
|
|
// global buffer used by all functions
|
|
// so we do not need a static buffer in every function
|
|
// not usable in multi-threading environments
|
|
// results need to be printed/copied asap
|
|
char __mathHelperBuffer[17];
|
|
|
|
|
|
//////////////////////////////////////////////////
|
|
//
|
|
// FLOAT REPRESENTATION HELPERS
|
|
//
|
|
char * sci(double number, int digits)
|
|
{
|
|
int exponent = 0;
|
|
int pos = 0;
|
|
|
|
// Handling these costs 13 bytes RAM
|
|
// shorten them with N, I, -I ?
|
|
if (isnan(number))
|
|
{
|
|
strcpy(__mathHelperBuffer, "nan");
|
|
return __mathHelperBuffer;
|
|
}
|
|
if (isinf(number))
|
|
{
|
|
if (number < 0) strcpy(__mathHelperBuffer, "-inf");
|
|
strcpy(__mathHelperBuffer, "inf");
|
|
return __mathHelperBuffer;
|
|
}
|
|
|
|
// Handle negative numbers
|
|
bool neg = (number < 0.0);
|
|
if (neg)
|
|
{
|
|
__mathHelperBuffer[pos++] = '-';
|
|
number = -number;
|
|
}
|
|
|
|
while (number >= 10.0)
|
|
{
|
|
number /= 10;
|
|
exponent++;
|
|
}
|
|
while (number < 1 && number != 0.0)
|
|
{
|
|
number *= 10;
|
|
exponent--;
|
|
}
|
|
|
|
// Round correctly so that print(1.999, 2) prints as "2.00"
|
|
double rounding = 0.5;
|
|
for (uint8_t i = 0; i < digits; ++i)
|
|
{
|
|
rounding *= 0.1;
|
|
}
|
|
number += rounding;
|
|
if (number >= 10)
|
|
{
|
|
exponent++;
|
|
number /= 10;
|
|
}
|
|
|
|
|
|
// Extract the integer part of the number and print it
|
|
uint8_t d = (uint8_t)number;
|
|
double remainder = number - d;
|
|
__mathHelperBuffer[pos++] = d + '0'; // 1 digit before decimal point
|
|
if (digits > 0)
|
|
{
|
|
__mathHelperBuffer[pos++] = '.'; // decimal point TODO:rvdt CONFIG?
|
|
}
|
|
|
|
|
|
// Extract digits from the remainder one at a time to prevent missing leading zero's
|
|
while (digits-- > 0)
|
|
{
|
|
remainder *= 10.0;
|
|
d = (uint8_t)remainder;
|
|
__mathHelperBuffer[pos++] = d + '0';
|
|
remainder -= d;
|
|
}
|
|
|
|
|
|
// print exponent
|
|
__mathHelperBuffer[pos++] = 'E';
|
|
neg = exponent < 0;
|
|
if (neg)
|
|
{
|
|
__mathHelperBuffer[pos++] = '-';
|
|
exponent = -exponent;
|
|
}
|
|
else __mathHelperBuffer[pos++] = '+';
|
|
|
|
|
|
// 3 digits for exponent; // needed for double
|
|
// d = exponent / 100;
|
|
// __mathHelperBuffer[pos++] = d + '0';
|
|
// exponent -= d * 100;
|
|
|
|
// 2 digits for exponent
|
|
d = exponent / 10;
|
|
__mathHelperBuffer[pos++] = d + '0';
|
|
d = exponent - d*10;
|
|
__mathHelperBuffer[pos++] = d + '0';
|
|
|
|
__mathHelperBuffer[pos] = '\0';
|
|
|
|
return __mathHelperBuffer;
|
|
}
|
|
|
|
|
|
void sci(Stream &str, float f, uint8_t digits)
|
|
{
|
|
str.print(sci(f, digits));
|
|
}
|
|
|
|
|
|
|
|
//////////////////////////////////////////////////
|
|
//
|
|
// TIME HELPERS
|
|
//
|
|
|
|
// (true) 00:00:00 .. 23:59:59
|
|
// (false) 00:00 .. 23:59
|
|
char * seconds2clock(uint32_t seconds, bool displaySeconds=false)
|
|
{
|
|
uint16_t days = seconds / 86400UL; // strips the days
|
|
seconds -= (days * 86400UL);
|
|
uint8_t hours = seconds / 3600UL;
|
|
seconds -= (hours * 3600UL);
|
|
uint8_t minutes = seconds / 60UL;
|
|
seconds -= (minutes * 60UL);
|
|
|
|
uint8_t pos = 0;
|
|
__mathHelperBuffer[pos++] = hours/10 + '0';
|
|
__mathHelperBuffer[pos++] = hours%10 + '0';
|
|
__mathHelperBuffer[pos++] = ':';
|
|
|
|
__mathHelperBuffer[pos++] = minutes/10 + '0';
|
|
__mathHelperBuffer[pos++] = minutes%10 + '0';
|
|
if (displaySeconds)
|
|
{
|
|
__mathHelperBuffer[pos++] = ':';
|
|
__mathHelperBuffer[pos++] = seconds/10 + '0';
|
|
__mathHelperBuffer[pos++] = seconds%10 + '0';
|
|
}
|
|
__mathHelperBuffer[pos] = '\0';
|
|
|
|
return __mathHelperBuffer;
|
|
}
|
|
|
|
char * millis2clock(uint32_t millis)
|
|
{
|
|
uint32_t t = millis/1000;
|
|
seconds2clock(t, true);
|
|
uint16_t m = millis - t*1000;
|
|
|
|
__mathHelperBuffer[8] = '.';
|
|
uint8_t pos = 9;
|
|
uint8_t d = m/100;
|
|
__mathHelperBuffer[pos++] = d + '0';
|
|
m = m - d * 100;
|
|
d = m/10;
|
|
__mathHelperBuffer[pos++] = d + '0';
|
|
d = m - d * 10;
|
|
__mathHelperBuffer[pos++] = d + '0';
|
|
__mathHelperBuffer[pos] = '\0';
|
|
|
|
return __mathHelperBuffer;
|
|
}
|
|
|
|
float weeks(uint32_t seconds)
|
|
{
|
|
return seconds * 1.653439153439e-6; // /604800
|
|
}
|
|
|
|
float days(uint32_t seconds)
|
|
{
|
|
return seconds * 1.157407407407e-5; // /86400
|
|
}
|
|
|
|
float hours(uint32_t seconds)
|
|
{
|
|
return seconds * 2.777777777778e-4; // /3600
|
|
}
|
|
|
|
float minutes(uint32_t seconds)
|
|
{
|
|
return seconds * 1.666666666667e-2; // /60
|
|
}
|
|
|
|
//////////////////////////////////////////////////
|
|
//
|
|
// HEX BIN HELPERS
|
|
//
|
|
// notes:
|
|
// - d should not exceed 16 otherwise __mathHelperBuffer overflows...
|
|
// - no 64 bit support
|
|
|
|
char * hex(uint32_t value, uint8_t d = 8)
|
|
{
|
|
if (d > 16) d = 16;
|
|
__mathHelperBuffer[d] = '\0';
|
|
while (d > 0)
|
|
{
|
|
uint8_t v = value & 0x0F;
|
|
value >>= 4;
|
|
__mathHelperBuffer[--d] = (v < 10) ? '0' + v : 'A' - 10 + v;
|
|
}
|
|
return __mathHelperBuffer;
|
|
}
|
|
|
|
|
|
char * bin(uint32_t value, uint8_t d = 8)
|
|
{
|
|
if (d > 16) d = 16;
|
|
__mathHelperBuffer[d] = '\0';
|
|
while (d > 0)
|
|
{
|
|
uint8_t v = value & 0x01;
|
|
value >>= 1;
|
|
__mathHelperBuffer[--d] = '0' + v;
|
|
}
|
|
return __mathHelperBuffer;
|
|
}
|
|
|
|
|
|
|
|
|
|
#endif // MATHHELPERS
|
|
|
|
// END OF FILE
|