2012-05-02 05:16:36 +02:00
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package rocket
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import Chisel._
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import Node._
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object DecodeLogic
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{
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def term(b: Literal) = {
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if (b.isZ) {
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var (bits, mask, swidth) = Literal.parseLit(b.toString)
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new Term(BigInt(bits, 2), BigInt(2).pow(b.width)-(BigInt(mask, 2)+1))
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} else {
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new Term(b.value)
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}
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}
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2012-10-16 13:51:21 +02:00
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def logic(addr: Bits, cache: scala.collection.mutable.Map[Term,Bits], terms: Seq[Term]) = {
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2012-05-02 05:16:36 +02:00
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terms.map { t =>
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if (!cache.contains(t))
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cache += t -> ((if (t.mask == 0) addr else addr & Lit(BigInt(2).pow(addr.width)-(t.mask+1), addr.width){Bits()}) === Lit(t.value, addr.width){Bits()})
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2013-08-12 19:39:11 +02:00
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cache(t).toBool
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2012-05-02 05:16:36 +02:00
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}.foldLeft(Bool(false))(_||_)
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}
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2012-08-22 22:38:07 +02:00
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def apply(addr: Bits, default: Iterable[Bits], mapping: Iterable[(Bits, Iterable[Bits])]) = {
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2012-05-02 05:16:36 +02:00
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var map = mapping
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var cache = scala.collection.mutable.Map[Term,Bits]()
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default map { d =>
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val dlit = d.litOf
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val dterm = term(dlit)
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val (keys, values) = map.unzip
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2012-08-22 22:38:07 +02:00
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val keysterms = keys.toList.map(k => term(k.litOf)) zip values.toList.map(v => term(v.head.litOf))
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2012-05-02 05:16:36 +02:00
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val result = (0 until math.max(dlit.width, values.map(_.head.litOf.width).max)).map({ case (i: Int) =>
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if (((dterm.mask >> i) & 1) != 0) {
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2012-10-16 13:51:21 +02:00
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var mint = keysterms.filter { case (k,t) => ((t.mask >> i) & 1) == 0 && ((t.value >> i) & 1) == 1 }.map(_._1)
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var maxt = keysterms.filter { case (k,t) => ((t.mask >> i) & 1) == 0 && ((t.value >> i) & 1) == 0 }.map(_._1)
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2012-08-22 22:38:07 +02:00
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logic(addr, cache, SimplifyDC(mint, maxt, addr.width)).toBits
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2012-05-02 05:16:36 +02:00
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} else {
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val want = 1 - ((dterm.value.toInt >> i) & 1)
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2012-10-16 13:51:21 +02:00
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val mint = keysterms.filter { case (k,t) => ((t.mask >> i) & 1) == 0 && ((t.value >> i) & 1) == want }.map(_._1)
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val dc = keysterms.filter { case (k,t) => ((t.mask >> i) & 1) == 1 }.map(_._1)
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2012-08-22 22:38:07 +02:00
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val bit = logic(addr, cache, Simplify(mint, dc, addr.width)).toBits
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2012-05-02 05:16:36 +02:00
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if (want == 1) bit else ~bit
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}
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}).reverse.reduceRight(Cat(_,_))
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map = map map { case (x,y) => (x, y.tail) }
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result
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}
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}
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}
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class Term(val value: BigInt, val mask: BigInt = 0)
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{
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var prime = true
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2012-11-05 09:28:25 +01:00
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def covers(x: Term) = ((value ^ x.value) &~ mask | x.mask &~ mask) == 0
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2012-05-02 05:16:36 +02:00
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def intersects(x: Term) = ((value ^ x.value) &~ mask &~ x.mask) == 0
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override def equals(that: Any) = that match {
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case x: Term => x.value == value && x.mask == mask
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case _ => false
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}
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override def hashCode = value.toInt
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2012-10-16 13:51:21 +02:00
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def < (that: Term) = value < that.value || value == that.value && mask < that.mask
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2012-05-02 05:16:36 +02:00
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def similar(x: Term) = {
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val diff = value - x.value
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mask == x.mask && value > x.value && (diff & diff-1) == 0
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}
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def merge(x: Term) = {
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prime = false
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x.prime = false
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val bit = value - x.value
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new Term(value &~ bit, mask | bit)
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}
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override def toString = value.toString + "-" + mask + (if (prime) "p" else "")
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}
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object Simplify
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{
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2012-10-16 13:51:21 +02:00
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def getPrimeImplicants(implicants: Seq[Term], bits: Int) = {
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var prime = List[Term]()
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2012-05-02 05:16:36 +02:00
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implicants.foreach(_.prime = true)
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val cols = (0 to bits).map(b => implicants.filter(b == _.mask.bitCount))
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2012-10-16 13:51:21 +02:00
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val table = cols.map(c => (0 to bits).map(b => collection.mutable.Set(c.filter(b == _.value.bitCount):_*)))
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2012-05-02 05:16:36 +02:00
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for (i <- 0 to bits) {
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for (j <- 0 until bits-i)
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table(i)(j).foreach(a => table(i+1)(j) ++= table(i)(j+1).filter(_.similar(a)).map(_.merge(a)))
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2012-10-16 13:51:21 +02:00
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for (r <- table(i))
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for (p <- r; if p.prime)
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prime = p :: prime
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2012-05-02 05:16:36 +02:00
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}
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2013-07-24 05:26:17 +02:00
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prime.sortWith(_<_)
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2012-05-02 05:16:36 +02:00
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}
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2012-10-16 13:51:21 +02:00
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def getEssentialPrimeImplicants(prime: Seq[Term], minterms: Seq[Term]): (Seq[Term],Seq[Term],Seq[Term]) = {
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for (i <- 0 until prime.size) {
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val icover = minterms.filter(prime(i) covers _)
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for (j <- 0 until prime.size) {
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val jcover = minterms.filter(prime(j) covers _)
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if (icover.size > jcover.size && jcover.forall(prime(i) covers _))
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return getEssentialPrimeImplicants(prime.filter(_ != prime(j)), minterms)
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2012-05-02 05:16:36 +02:00
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}
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}
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val essentiallyCovered = minterms.filter(t => prime.count(_ covers t) == 1)
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val essential = prime.filter(p => essentiallyCovered.exists(p covers _))
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2012-10-16 13:51:21 +02:00
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val nonessential = prime.filterNot(essential contains _)
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2012-05-02 05:16:36 +02:00
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val uncovered = minterms.filterNot(t => essential.exists(_ covers t))
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if (essential.isEmpty || uncovered.isEmpty)
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(essential, nonessential, uncovered)
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else {
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val (a, b, c) = getEssentialPrimeImplicants(nonessential, uncovered)
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(essential ++ a, b, c)
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}
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}
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2012-10-16 13:51:21 +02:00
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def getCost(cover: Seq[Term], bits: Int) = cover.map(bits - _.mask.bitCount).sum
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def cheaper(a: List[Term], b: List[Term], bits: Int) = {
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val ca = getCost(a, bits)
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val cb = getCost(b, bits)
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def listLess(a: List[Term], b: List[Term]): Boolean = !b.isEmpty && (a.isEmpty || a.head < b.head || a.head == b.head && listLess(a.tail, b.tail))
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2013-07-24 05:26:17 +02:00
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ca < cb || ca == cb && listLess(a.sortWith(_<_), b.sortWith(_<_))
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2012-05-02 05:16:36 +02:00
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}
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2012-10-16 13:51:21 +02:00
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def getCover(implicants: Seq[Term], minterms: Seq[Term], bits: Int) = {
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if (minterms.nonEmpty) {
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val cover = minterms.map(m => implicants.filter(_.covers(m)).map(i => collection.mutable.Set(i)))
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val all = cover.reduceLeft((c0, c1) => c0.map(a => c1.map(_ ++ a)).reduceLeft(_++_))
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all.map(_.toList).reduceLeft((a, b) => if (cheaper(a, b, bits)) a else b)
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} else
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Seq[Term]()
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}
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def stringify(s: Seq[Term], bits: Int) = s.map(t => (0 until bits).map(i => if ((t.mask & (1 << i)) != 0) "x" else ((t.value >> i) & 1).toString).reduceLeft(_+_).reverse).reduceLeft(_+" + "+_)
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2012-05-02 05:16:36 +02:00
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2012-10-16 13:51:21 +02:00
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def apply(minterms: Seq[Term], dontcares: Seq[Term], bits: Int) = {
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2012-05-02 05:16:36 +02:00
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val prime = getPrimeImplicants(minterms ++ dontcares, bits)
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minterms.foreach(t => assert(prime.exists(_.covers(t))))
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val (eprime, prime2, uncovered) = getEssentialPrimeImplicants(prime, minterms)
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val cover = eprime ++ getCover(prime2, uncovered, bits)
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minterms.foreach(t => assert(cover.exists(_.covers(t)))) // sanity check
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cover
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}
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}
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object SimplifyDC
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{
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2012-10-16 13:51:21 +02:00
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def getImplicitDC(maxterms: Seq[Term], term: Term, bits: Int, above: Boolean): Term = {
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2012-05-02 05:16:36 +02:00
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for (i <- 0 until bits) {
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var t: Term = null
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if (above && ((term.value | term.mask) & (1L << i)) == 0)
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t = new Term(term.value | (1L << i), term.mask)
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else if (!above && (term.value & (1L << i)) != 0)
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t = new Term(term.value & ~(1L << i), term.mask)
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if (t != null && !maxterms.exists(_.intersects(t)))
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return t
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}
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null
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}
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2012-10-16 13:51:21 +02:00
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def getPrimeImplicants(minterms: Seq[Term], maxterms: Seq[Term], bits: Int) = {
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var prime = List[Term]()
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2012-05-02 05:16:36 +02:00
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minterms.foreach(_.prime = true)
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var mint = minterms.map(t => new Term(t.value, t.mask))
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val cols = (0 to bits).map(b => mint.filter(b == _.mask.bitCount))
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2012-10-16 13:51:21 +02:00
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val table = cols.map(c => (0 to bits).map(b => collection.mutable.Set(c.filter(b == _.value.bitCount):_*)))
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2012-05-02 05:16:36 +02:00
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for (i <- 0 to bits) {
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for (j <- 0 until bits-i) {
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table(i)(j).foreach(a => table(i+1)(j) ++= table(i)(j+1).filter(_ similar a).map(_ merge a))
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}
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for (j <- 0 until bits-i) {
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for (a <- table(i)(j).filter(_.prime)) {
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val dc = getImplicitDC(maxterms, a, bits, true)
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if (dc != null)
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table(i+1)(j) += dc merge a
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}
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for (a <- table(i)(j+1).filter(_.prime)) {
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val dc = getImplicitDC(maxterms, a, bits, false)
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if (dc != null)
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table(i+1)(j) += a merge dc
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}
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}
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2012-10-16 13:51:21 +02:00
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for (r <- table(i))
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for (p <- r; if p.prime)
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prime = p :: prime
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2012-05-02 05:16:36 +02:00
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}
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2013-07-24 05:26:17 +02:00
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prime.sortWith(_<_)
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2012-05-02 05:16:36 +02:00
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}
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2012-11-05 09:28:25 +01:00
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def verify(cover: Seq[Term], minterms: Seq[Term], maxterms: Seq[Term]) = {
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assert(minterms.forall(t => cover.exists(_ covers t)))
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assert(maxterms.forall(t => !cover.exists(_ intersects t)))
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}
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2012-10-16 13:51:21 +02:00
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def apply(minterms: Seq[Term], maxterms: Seq[Term], bits: Int) = {
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2012-05-02 05:16:36 +02:00
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val prime = getPrimeImplicants(minterms, maxterms, bits)
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val (eprime, prime2, uncovered) = Simplify.getEssentialPrimeImplicants(prime, minterms)
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val cover = eprime ++ Simplify.getCover(prime2, uncovered, bits)
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2012-11-05 09:28:25 +01:00
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verify(cover, minterms, maxterms)
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2012-05-02 05:16:36 +02:00
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cover
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}
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}
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