# MATH131 Numerical methods was useful

Back in 1986 in my second first year at the University of Canterbury I did “MATH131 Numerical Methods” which was a year of looking at why mathematics in FORTRAN, C, and Pascal sometimes didn’t return the result you were expecting…

While testing my GHI Electronics TinyCLR2 RAK Wireless RAK811 LoRaWAN client I noticed the temperature numbers didn’t quite match…

I have implemented my own Cayenne Low Power Payload encoder in C# based on the sample Mbed C code

```uint8_t CayenneLPP::addTemperature(uint8_t channel, float celsius) {
if ((cursor + LPP_TEMPERATURE_SIZE) > maxsize) {
return 0;
}
int16_t val = celsius * 10;
buffer[cursor++] = channel;
buffer[cursor++] = LPP_TEMPERATURE;
buffer[cursor++] = val >> 8;
buffer[cursor++] = val;

return cursor;
}
```

My translation of that code to C#

```public void TemperatureAdd(byte channel, float celsius)
{
if ((index + TemperatureSize) > buffer.Length)
{
throw new ApplicationException("TemperatureAdd insufficent buffer capacity");
}

short val = (short)(celsius * 10);

buffer[index++] = channel;
buffer[index++] = (byte)DataType.Temperature;
buffer[index++] = (byte)(val >> 8);
buffer[index++] = (byte)val;
}
```

After looking at the code I think the issues was most probably due to the representation of the constant 10(int32), 10.0(double), and 10.0f(single) . To confirm my theory I modified the client to send the temperature with the calculation done with three different constants.

After some trial and error I settled on this C# code for my decoder

```public void TemperatureAdd(byte channel, float celsius)
{
if ((index + TemperatureSize) > buffer.Length)
{
throw new ApplicationException("TemperatureAdd insufficent buffer capacity");
}

short val = (short)(celsius * 10.0f);

buffer[index++] = channel;
buffer[index++] = (byte)DataType.Temperature;
buffer[index++] = (byte)(val >> 8);
buffer[index++] = (byte)val;
}
```

I don’t think this is specifically an issue with the TinyCLR V2 just with number type used for the constant.

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