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authorJack Koenig2021-09-17 21:01:26 -0700
committerJack Koenig2021-09-17 21:01:26 -0700
commit5c8c19345e6711279594cf1f9ddab33623c8eba7 (patch)
treed9d6ced3934aa4a8be3dec19ddcefe50a7a93d5a /src/main/scala/chisel3/util/pla.scala
parente63b9667d89768e0ec6dc8a9153335cb48a213a7 (diff)
parent958904cb2f2f65d02b2ab3ec6d9ec2e06d04e482 (diff)
Merge branch 'master' into 3.5-release
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+// SPDX-License-Identifier: Apache-2.0
+
+package chisel3.util
+
+import chisel3._
+
+object pla {
+
+ /** Construct a [[https://en.wikipedia.org/wiki/Programmable_logic_array]] from specified table.
+ *
+ * Each position in the input matrix corresponds to an input variable where
+ * `0` implies the corresponding input literal appears complemented in the product term.
+ * `1` implies the input literal appears uncomplemented in the product term
+ * `?` implies the input literal does not appear in the product term.
+ *
+ * For each output
+ * a `1` means this product term makes the function value to `1`
+ * and a `0` or `?` means this product term make the function value to `0`
+ *
+ * @note There is one special case which we call it `? -> 1`. In this scenario, for some of the output functions (bits),
+ * all input terms that make this function value to `1` is purely composed by `?`. In a real pla, this will result in
+ * no connection to the gates in the AND Plane (verilog `z` on gate inputs), which in turn makes the outputs of the
+ * AND Plane undetermined (verilog `x` on outputs). This is not desired behavior in most cases, for example the
+ * minimization result of following truth table:
+ * 0 -> 1
+ * 1 -> 1
+ * which is:
+ * ? -> 1
+ * actually means something other than a verilog `x`. To ease the generation of minimized truth tables, this pla
+ * generation api will hard wire outputs to a `1` on this special case.
+ * This behavior is formally described as: if product terms that make one function value to `1` is solely consisted
+ * of don't-cares (`?`s), then this function is implemented as a constant `1`.
+ *
+ * @param table A [[Seq]] of inputs -> outputs mapping
+ * @param invert A [[BitPat]] specify which bit of the output should be inverted. `1` means the correspond position
+ * of the output should be inverted in the PLA, a `0` or a `?` means direct output from the OR matrix.
+ * @return the (input, output) [[Wire]] of [[UInt]] of the constructed pla.
+ * {{{
+ * // A 1-of-8 decoder (like the 74xx138) can be constructed as follow
+ * val (inputs, outputs) = pla(Seq(
+ * (BitPat("b000"), BitPat("b00000001")),
+ * (BitPat("b001"), BitPat("b00000010")),
+ * (BitPat("b010"), BitPat("b00000100")),
+ * (BitPat("b011"), BitPat("b00001000")),
+ * (BitPat("b100"), BitPat("b00010000")),
+ * (BitPat("b101"), BitPat("b00100000")),
+ * (BitPat("b110"), BitPat("b01000000")),
+ * (BitPat("b111"), BitPat("b10000000")),
+ * ))
+ * }}}
+ */
+ def apply(table: Seq[(BitPat, BitPat)], invert: BitPat = BitPat("b0")): (UInt, UInt) = {
+ require(table.nonEmpty, "pla table must not be empty")
+
+ val (inputTerms, outputTerms) = table.unzip
+ require(
+ inputTerms.map(_.getWidth).distinct.size == 1,
+ "all `BitPat`s in the input part of specified PLA table must have the same width"
+ )
+ require(
+ outputTerms.map(_.getWidth).distinct.size == 1,
+ "all `BitPat`s in the output part of specified PLA table must have the same width"
+ )
+
+ // now all inputs / outputs have the same width
+ val numberOfInputs = inputTerms.head.getWidth
+ val numberOfOutputs = outputTerms.head.getWidth
+
+ val inverterMask = invert.value & invert.mask
+ if (inverterMask.bitCount != 0)
+ require(invert.getWidth == numberOfOutputs,
+ "non-zero inverter mask must have the same width as the output part of specified PLA table"
+ )
+
+ // input wires of the generated PLA
+ val inputs = Wire(UInt(numberOfInputs.W))
+ val invInputs = ~inputs
+
+ // output wires of the generated PLA
+ val outputs = Wire(UInt(numberOfOutputs.W))
+
+ // the AND matrix
+ // use `term -> AND line` map to reuse AND matrix output lines
+ val andMatrixOutputs: Map[String, Bool] = inputTerms.map { t =>
+ val andMatrixInput = Seq
+ .tabulate(numberOfInputs) { i =>
+ if (t.mask.testBit(i)) {
+ Some(
+ if (t.value.testBit(i)) inputs(i)
+ else invInputs(i)
+ )
+ } else {
+ None
+ }
+ }
+ .flatten
+ if (andMatrixInput.nonEmpty) t.toString -> Cat(andMatrixInput).andR() else t.toString -> true.B
+ }.toMap
+
+ // the OR matrix
+ val orMatrixOutputs: UInt = Cat(
+ Seq
+ .tabulate(numberOfOutputs) { i =>
+ val andMatrixLines = table
+ // OR matrix composed by input terms which makes this output bit a `1`
+ .filter {
+ case (_, or) => or.mask.testBit(i) && or.value.testBit(i)
+ }.map {
+ case (inputTerm, _) =>
+ andMatrixOutputs(inputTerm.toString)
+ }
+ if (andMatrixLines.isEmpty) false.B
+ else Cat(andMatrixLines).orR()
+ }
+ .reverse
+ )
+
+ // the INV matrix, useful for decoders
+ val invMatrixOutputs: UInt = Cat(
+ Seq
+ .tabulate(numberOfOutputs) { i =>
+ if (inverterMask.testBit(i)) ~orMatrixOutputs(i)
+ else orMatrixOutputs(i)
+ }
+ .reverse
+ )
+
+ outputs := invMatrixOutputs
+
+ (inputs, outputs)
+ }
+}