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#!/usr/bin/python"""Thermistor Value Lookup Table GeneratorGenerates lookup to temperature values for use in a microcontroller in C format based on:http://en.wikipedia.org/wiki/Steinhart-Hart_equationThe main use is for Arduino programs that read data from the circuit board described here:http://reprap.org/wiki/Temperature_Sensor_v2.0Usage: python createTemperatureLookupMarlin.py [options]Options:-h, --help show this help--rp=... pull-up resistor--t1=ttt:rrr low temperature temperature:resistance point (around 25 degC)--t2=ttt:rrr middle temperature temperature:resistance point (around 150 degC)--t3=ttt:rrr high temperature temperature:resistance point (around 250 degC)--num-temps=... the number of temperature points to calculate (default: 36)"""from math import *import sysimport getopt"Constants"ZERO = 273.15 # zero point of Kelvin scaleVADC = 5 # ADC voltageVCC = 5 # supply voltageARES = pow(2,10) # 10 Bit ADC resolutionVSTEP = VADC / ARES # ADC voltage resolutionTMIN = 0 # lowest temperature in tableTMAX = 350 # highest temperature in tableclass Thermistor:"Class to do the thermistor maths"def __init__(self, rp, t1, r1, t2, r2, t3, r3):l1 = log(r1)l2 = log(r2)l3 = log(r3)y1 = 1.0 / (t1 + ZERO) # adjust scaley2 = 1.0 / (t2 + ZERO)y3 = 1.0 / (t3 + ZERO)x = (y2 - y1) / (l2 - l1)y = (y3 - y1) / (l3 - l1)c = (y - x) / ((l3 - l2) * (l1 + l2 + l3))b = x - c * (l1**2 + l2**2 + l1*l2)a = y1 - (b + l1**2 *c)*l1if c < 0:print "//////////////////////////////////////////////////////////////////////////////////////"print "// WARNING: negative coefficient 'c'! Something may be wrong with the measurements! //"print "//////////////////////////////////////////////////////////////////////////////////////"c = -cself.c1 = a # Steinhart-Hart coefficientsself.c2 = bself.c3 = cself.rp = rp # pull-up resistancedef resol(self, adc):"Convert ADC reading into a resolution"res = self.temp(adc)-self.temp(adc+1)return resdef voltage(self, adc):"Convert ADC reading into a Voltage"return adc * VSTEP # convert the 10 bit ADC value to a voltagedef resist(self, adc):"Convert ADC reading into a resistance in Ohms"r = self.rp * self.voltage(adc) / (VCC - self.voltage(adc)) # resistance of thermistorreturn rdef temp(self, adc):"Convert ADC reading into a temperature in Celcius"l = log(self.resist(adc))Tinv = self.c1 + self.c2*l + self.c3* l**3 # inverse temperaturereturn (1/Tinv) - ZERO # temperaturedef adc(self, temp):"Convert temperature into a ADC reading"x = (self.c1 - (1.0 / (temp+ZERO))) / (2*self.c3)y = sqrt((self.c2 / (3*self.c3))**3 + x**2)r = exp((y-x)**(1.0/3) - (y+x)**(1.0/3))return (r / (self.rp + r)) * ARESdef main(argv):"Default values"t1 = 25 # low temperature in Kelvin (25 degC)r1 = 100000 # resistance at low temperature (10 kOhm)t2 = 150 # middle temperature in Kelvin (150 degC)r2 = 1641.9 # resistance at middle temperature (1.6 KOhm)t3 = 250 # high temperature in Kelvin (250 degC)r3 = 226.15 # resistance at high temperature (226.15 Ohm)rp = 4700; # pull-up resistor (4.7 kOhm)num_temps = 36; # number of entries for look-up tabletry:opts, args = getopt.getopt(argv, "h", ["help", "rp=", "t1=", "t2=", "t3=", "num-temps="])except getopt.GetoptError as err:print str(err)usage()sys.exit(2)for opt, arg in opts:if opt in ("-h", "--help"):usage()sys.exit()elif opt == "--rp":rp = int(arg)elif opt == "--t1":arg = arg.split(':')t1 = float(arg[0])r1 = float(arg[1])elif opt == "--t2":arg = arg.split(':')t2 = float(arg[0])r2 = float(arg[1])elif opt == "--t3":arg = arg.split(':')t3 = float(arg[0])r3 = float(arg[1])elif opt == "--num-temps":num_temps = int(arg)t = Thermistor(rp, t1, r1, t2, r2, t3, r3)increment = int((ARES-1)/(num_temps-1));step = (TMIN-TMAX) / (num_temps-1)low_bound = t.temp(ARES-1);up_bound = t.temp(1);min_temp = int(TMIN if TMIN > low_bound else low_bound)max_temp = int(TMAX if TMAX < up_bound else up_bound)temps = range(max_temp, TMIN+step, step);print "// Thermistor lookup table for Marlin"print "// ./createTemperatureLookupMarlin.py --rp=%s --t1=%s:%s --t2=%s:%s --t3=%s:%s --num-temps=%s" % (rp, t1, r1, t2, r2, t3, r3, num_temps)print "// Steinhart-Hart Coefficients: a=%.15g, b=%.15g, c=%.15g " % (t.c1, t.c2, t.c3)print "// Theoretical limits of thermistor: %.2f to %.2f degC" % (low_bound, up_bound)print "const short temptable[][2] PROGMEM = {"for temp in temps:adc = t.adc(temp)print " { OV(%7.2f), %4s }%s // v=%.3f\tr=%.3f\tres=%.3f degC/count" % (adc , temp, \',' if temp != temps[-1] else ' ', \t.voltage(adc), \t.resist( adc), \t.resol( adc) \)print "};"def usage():print __doc__if __name__ == "__main__":main(sys.argv[1:])