MSP-EXP430FR5739: Update MSP430 Firmware using ESP32

No, the formula is completely different than what you highlighted in orange. The formula you found in the MSP430 Flash Device Bootloader (BSL) PDF is not applicable to your device.

The CRC on an FRAM device is calculated with a CRC-16/CCITT-FALSE algorithm, not the formula you highlighted in orange. The FRAM BSL is simply using the CRC Module present inside the MCU to calculate. You may want to read the device's User Guide on the CRC Module to get an idea of how it's calculated.

In the UART PI example, all of the fields shaded in dark grey are the bytes which are input into the CRC calculation. So for the "Mass Erase" command, only the CMD byte is in grey. Passing the CMD byte (0x15) into a valid CRC-16/CCITT-FALSE calculator will yield 0xA364. As such, the BSL's response calculates the CRC with the two bytes in grey, CMD (0x3B) and MSG (0x00). Placing these two bytes into a CRC-16/CCITT-FALSE calculator will result in a checksum of 0xC460.

Here is a generic function which can be used as an EXAMPLE of how to calculate the CRC for your FRAM device. Byte or bit order changes the result, so it would need to be tailored to match correct endianness of the target and master devices.

uint16_t calculateCRC16CCITTFALSEChecksum(unsigned char *byteBuffer, unsigned int numChars)
{
	int i = 0;
	int j = 0;
	uint16_t checksum = 0xFFFF;	
	
	for(i = 0; i < numChars; i++)
	{		
		checksum ^= (byteBuffer[i] << 8);
		for(j = 0; j < 8; j++)
		{
			if(checksum & 0x8000)
			{
				checksum <<= 1;
				checksum ^= 0x1021;//Represents the x^15 + x^12 + x^5 + 1 polynomial
			}
			else
				checksum <<= 1;
		}
	}
	
	return checksum;
}