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209 lines
4.2 KiB
C
209 lines
4.2 KiB
C
//
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// FILE: MathHelpers.h
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// AUTHOR: Rob Tillaart
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// DATE: 2018-01-21
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//
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//
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// PUPROSE: misc functions for math and time
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//
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#ifndef MATHHELPERS
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#define MATHHELPERS
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#define MATHHELPERS_VERSION (F("0.1.0"))
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// global buffer used by all functions
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// so we do not need a static buffer in every function
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// not usable in multi-threading environments
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// results need to be printed/copied asap
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char __mathHelperBuffer[16];
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//////////////////////////////////////////////////
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//
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// FLOAT REPRESENTATION HELPERS
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//
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char * sci(double number, int digits)
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{
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int exponent = 0;
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int pos = 0;
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// Handling these costs 13 bytes RAM
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// shorten them with N, I, -I ?
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if (isnan(number))
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{
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strcpy(__mathHelperBuffer, "nan");
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return __mathHelperBuffer;
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}
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if (isinf(number))
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{
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if (number < 0) strcpy(__mathHelperBuffer, "-inf");
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strcpy(__mathHelperBuffer, "inf");
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return __mathHelperBuffer;
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}
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// Handle negative numbers
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bool neg = (number < 0.0);
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if (neg)
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{
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__mathHelperBuffer[pos++] = '-';
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number = -number;
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}
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while (number >= 10.0)
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{
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number /= 10;
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exponent++;
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}
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while (number < 1 && number != 0.0)
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{
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number *= 10;
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exponent--;
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}
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// Round correctly so that print(1.999, 2) prints as "2.00"
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double rounding = 0.5;
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for (uint8_t i = 0; i < digits; ++i)
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{
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rounding *= 0.1;
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}
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number += rounding;
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if (number >= 10)
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{
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exponent++;
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number /= 10;
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}
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// Extract the integer part of the number and print it
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uint8_t d = (uint8_t)number;
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double remainder = number - d;
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__mathHelperBuffer[pos++] = d + '0'; // 1 digit before decimal point
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if (digits > 0)
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{
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__mathHelperBuffer[pos++] = '.'; // decimal point TODO:rvdt CONFIG?
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}
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// Extract digits from the remainder one at a time to prevent missing leading zero's
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while (digits-- > 0)
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{
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remainder *= 10.0;
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d = (uint8_t)remainder;
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__mathHelperBuffer[pos++] = d + '0';
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remainder -= d;
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}
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// print exponent
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__mathHelperBuffer[pos++] = 'E';
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neg = exponent < 0;
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if (neg)
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{
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__mathHelperBuffer[pos++] = '-';
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exponent = -exponent;
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}
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else __mathHelperBuffer[pos++] = '+';
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// 3 digits for exponent; // needed for double
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// d = exponent / 100;
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// __mathHelperBuffer[pos++] = d + '0';
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// exponent -= d * 100;
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// 2 digits for exponent
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d = exponent / 10;
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__mathHelperBuffer[pos++] = d + '0';
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d = exponent - d*10;
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__mathHelperBuffer[pos++] = d + '0';
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__mathHelperBuffer[pos] = '\0';
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return __mathHelperBuffer;
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}
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void sci(Stream &str, float f, uint8_t digits)
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{
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str.print(sci(f, digits));
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}
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//////////////////////////////////////////////////
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//
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// TIME HELPERS
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//
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// (true) 00:00:00 .. 23:59:59
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// (false) 00:00 .. 23:59
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char * seconds2clock(uint32_t seconds, bool displaySeconds=false)
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{
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uint16_t days = seconds / 86400UL; // strips the days
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seconds -= (days * 86400UL);
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uint8_t hours = seconds / 3600UL;
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seconds -= (hours * 3600UL);
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uint8_t minutes = seconds / 60UL;
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seconds -= (minutes * 60UL);
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uint8_t pos = 0;
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__mathHelperBuffer[pos++] = hours/10 + '0';
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__mathHelperBuffer[pos++] = hours%10 + '0';
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__mathHelperBuffer[pos++] = ':';
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__mathHelperBuffer[pos++] = minutes/10 + '0';
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__mathHelperBuffer[pos++] = minutes%10 + '0';
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if (displaySeconds)
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{
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__mathHelperBuffer[pos++] = ':';
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__mathHelperBuffer[pos++] = seconds/10 + '0';
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__mathHelperBuffer[pos++] = seconds%10 + '0';
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}
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__mathHelperBuffer[pos] = '\0';
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return __mathHelperBuffer;
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}
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char * millis2clock(uint32_t millis)
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{
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uint32_t t = millis/1000;
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seconds2clock(t, true);
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uint16_t m = millis - t*1000;
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__mathHelperBuffer[8] = '.';
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uint8_t pos = 9;
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uint8_t d = m/100;
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__mathHelperBuffer[pos++] = d + '0';
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m = m - d * 100;
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d = m/10;
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__mathHelperBuffer[pos++] = d + '0';
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d = m - d * 10;
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__mathHelperBuffer[pos++] = d + '0';
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__mathHelperBuffer[pos] = '\0';
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return __mathHelperBuffer;
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}
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float weeks(uint32_t seconds)
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{
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return seconds * 1.653439153439e-6; // /604800
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}
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float days(uint32_t seconds)
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{
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return seconds * 1.157407407407e-5; // /86400
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}
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float hours(uint32_t seconds)
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{
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return seconds * 2.777777777778e-4; // /3600
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}
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float minutes(uint32_t seconds)
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{
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return seconds * 1.666666666667e-2; // /60
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}
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#endif // MATHHELPERS
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// END OF FILE
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