Added CRC algos

crc/crc16/ctc16.go

@@ -0,0 +1,62 @@
+// Package crc16 implements the 16-bit cyclic redundancy check, or CRC-16,
+// checksum. See http://en.wikipedia.org/wiki/Cyclic_redundancy_check for
+// information.
+package crc16
+
+// Predefined polynomnials
+const (
+	// Used by X.25, V.41, HDLC FCS, XMODEM, Bluetooth, PACTOR, SD, ...
+	CCITT = 0x8408
+)
+
+// Table is a 256-word table representing the polynomial for efficient processing.
+type Table [256]uint16
+
+var (
+	CCITTTable = makeTable(CCITT)
+)
+
+// MakeTable returns the Table constructed from the specified polynomial.
+func MakeTable(poly uint16) *Table {
+	return makeTable(poly)
+}
+
+// makeTable returns the Table constructed from the specified polynomial.
+func makeTable(poly uint16) *Table {
+	t := new(Table)
+	for i := 0; i < 256; i++ {
+		crc := uint16(i)
+		for j := 0; j < 8; j++ {
+			if crc&1 == 1 {
+				crc = (crc >> 1) ^ poly
+			} else {
+				crc >>= 1
+			}
+		}
+		t[i] = crc
+	}
+	return t
+}
+
+// Update returns the result of adding the bytes in p to the crc.
+func Update(crc uint16, tab *Table, p []byte) uint16 {
+	return update(crc, tab, p)
+}
+
+func update(crc uint16, tab *Table, p []byte) uint16 {
+	crc = ^crc
+	for _, v := range p {
+		crc = tab[byte(crc)^v] ^ (crc >> 8)
+	}
+	return ^crc
+}
+
+// Checksum returns the CRC-16 checksum of data using the polynomial represented by the Table.
+func Checksum(data []byte, tab *Table) uint16 {
+	return Update(0, tab, data)
+}
+
+// ChecksumCCITT returns the CRC-16 checksum of data using the CCITT polynomial.
+func ChecksumCCITT(data []byte) uint16 {
+	return update(0, CCITTTable, data)
+}

crc/quadres_16_7/quadres_16_7.go

@@ -0,0 +1,63 @@
+// Package quadres_16_7 implements the quadratic residue (16, 7, 6) parity check.
+package quadres_16_7
+
+import "github.com/pd0mz/go-dmr/bit"
+
+var (
+	validDataParities = [128]bit.Bits{}
+)
+
+type Codeword struct {
+	Data   bit.Bits
+	Parity bit.Bits
+}
+
+func NewCodeword(bits bit.Bits) *Codeword {
+	if len(bits) < 16 {
+		return nil
+	}
+
+	return &Codeword{
+		Data:   bits[:7],
+		Parity: bits[7:16],
+	}
+}
+
+func ParityBits(bits bit.Bits) bit.Bits {
+	parity := make(bit.Bits, 9)
+	// Multiplying the generator matrix with the given data bits.
+	// See DMR AI spec. page 134.
+	parity[0] = bits[1] ^ bits[2] ^ bits[3] ^ bits[4]
+	parity[1] = bits[2] ^ bits[3] ^ bits[4] ^ bits[5]
+	parity[2] = bits[0] ^ bits[3] ^ bits[4] ^ bits[5] ^ bits[6]
+	parity[3] = bits[2] ^ bits[3] ^ bits[5] ^ bits[6]
+	parity[4] = bits[1] ^ bits[2] ^ bits[6]
+	parity[5] = bits[0] ^ bits[1] ^ bits[4]
+	parity[6] = bits[0] ^ bits[1] ^ bits[2] ^ bits[5]
+	parity[7] = bits[0] ^ bits[1] ^ bits[2] ^ bits[3] ^ bits[6]
+	parity[8] = bits[0] ^ bits[2] ^ bits[4] ^ bits[5] ^ bits[6]
+	return parity
+}
+
+func Check(bits bit.Bits) bool {
+	codeword := NewCodeword(bits)
+	if codeword == nil {
+		return false
+	}
+
+	var dataval uint8
+	for col := uint8(0); col < 7; col++ {
+		if codeword.Data[col] == 1 {
+			dataval |= (1 << (7 - col))
+		}
+	}
+
+	return codeword.Parity.Equal(validDataParities[dataval])
+}
+
+func init() {
+	for i := byte(0); i < 128; i++ {
+		bits := bit.NewBits([]byte{i})
+		validDataParities[i] = ParityBits(bits)
+	}
+}