package ixee.cryptopals.utils import FunctionUtils.tup import ConversionUtils._ object ByteUtils { trait SizedNumeric[T] { def manifest: Manifest[T] def byteSize: Int def bitSize: Int def fromLong(l: Long): T def toLong(l: T): Long def buildFrom[U : SizedNumeric : BitOps](from: U): T = fromLong(from.toLong) def truncate[U : SizedNumeric : BitOps](from: U): T = buildFrom(from) override def toString = s"SizedNumeric[${manifest}]" } trait BitOps[T] { def @>>>(t: T, x: Int): T def @<<(t: T, x: Int): T def @|(a: T, b: T): T def @&(a: T, b: T): T def @^(a: T, b: T): T def @+(a: T, b: T): T def @-(a: T, b: T): T } implicit val byteOps: BitOps[Byte] = new BitOps[Byte] { def @>>>(t: Byte, x: Int): Byte = (t >>> x).toByte def @<<(t: Byte, x: Int): Byte = (t << x).toByte def @|(a: Byte, b: Byte): Byte = (a | b).toByte def @&(a: Byte, b: Byte): Byte = (a & b).toByte def @^(a: Byte, b: Byte): Byte = (a ^ b).toByte def @+(a: Byte, b: Byte): Byte = (a + b).toByte def @-(a: Byte, b: Byte): Byte = (a - b).toByte } implicit val intOps: BitOps[Int] = new BitOps[Int] { def @>>>(t: Int, x: Int): Int = t >>> x def @<<(t: Int, x: Int): Int = (t << x) def @|(a: Int, b: Int): Int = a | b def @&(a: Int, b: Int): Int = a & b def @^(a: Int, b: Int): Int = a ^ b def @+(a: Int, b: Int): Int = a + b def @-(a: Int, b: Int): Int = a - b } implicit class WithBitOpts[T : BitOps](x: T) { def @>>>(b: Int): T = implicitly[BitOps[T]].@>>>(x, b) def @<<(b: Int): T = implicitly[BitOps[T]].@<<(x, b) def @|(b: T): T = implicitly[BitOps[T]].@|(x, b) def @&(b: T): T = implicitly[BitOps[T]].@&(x, b) def @^(b: T): T = implicitly[BitOps[T]].@^(x, b) def @+(b: T): T = implicitly[BitOps[T]].@+(x, b) def @-(b: T): T = implicitly[BitOps[T]].@-(x, b) } implicit class SizedWithByteInfo[T : SizedNumeric : BitOps](x: T) { def byteSize = implicitly[SizedNumeric[T]].byteSize def octetSize = byteSize * 2 def bitSize = implicitly[SizedNumeric[T]].bitSize def toLong = implicitly[SizedNumeric[T]].toLong(x) def liftedTo[U : SizedNumeric]: U = { val uSize = implicitly[SizedNumeric[U]] val tSize = implicitly[SizedNumeric[T]] if (uSize.byteSize < tSize.byteSize) { throw new RuntimeException(s"Target size ($uSize) is smaller than the source size ($tSize)") } uSize.buildFrom(x) } def hex: String = s"%0${octetSize}x" format x def bitsSet: Int = { var bits = 0 var num = x while (num.toLong > 0) { bits = bits + 1 num = num @& (num @- 1.truncatedTo[T]) } bits } def truncatedTo[U : SizedNumeric]: U = { implicitly[SizedNumeric[U]].truncate(x) } } def sizedNumeric[T : Manifest](bytes: Int)(from: Long => T)(to: T => Long) = new SizedNumeric[T] { def manifest = implicitly[Manifest[T]] def byteSize = bytes def bitSize = bytes * 8 def toLong(t: T) = to(t) def fromLong(l: Long) = from(l) } implicit val intSized = sizedNumeric(4) { x: Long => x.toInt } { _.toLong } implicit val shortized = sizedNumeric(2) { x: Long => x.toShort } { _.toLong } implicit val byteSized = sizedNumeric(1) { x: Long => x.toByte } { _.toLong } implicit class SeqByteOps[T : SizedNumeric : BitOps](seq: Seq[T]) { def xor(other: Seq[T]): Seq[T] = seq.zip(other).map(tup(_ @^ _)) } def hammingDistance(a: String, b: String): Int = hammingDistance(a.asBytes, b.asBytes) def hammingDistance[T : BitOps : SizedNumeric](a: Seq[T], b: Seq[T]): Int = (a xor b).map(_.bitsSet).reduce(_ @+ _) def avgHammingDistance[T : BitOps : SizedNumeric](xs: Seq[Seq[T]]): Double = xs.sliding(2).map({ case Stream(a: Seq[T], b: Seq[T]) => hammingDistance(a, b) }).reduce(_ @+ _) / xs.length.toDouble }