/**
 * Support for integer intervals.
 * An interval is represented as by its inclusive lower bound, `start`, and its exclusive upper bound, `end`.
 * Either or both of `start` and `end` may have an unknown value.
 */

import Overlap
private import IntegerConstant

/**
 * Gets the overlap relationship between the definition interval [`defStart`, `defEnd`) and the use interval
 * [`useStart`, `useEnd`).
 */
bindingset[defStart, defEnd, useStart, useEnd]
Overlap getOverlap(IntValue defStart, IntValue defEnd, IntValue useStart, IntValue useEnd) {
  if isEQ(defStart, useStart) and isEQ(defEnd, useEnd)
  then result instanceof MustExactlyOverlap
  else
    if isLE(defStart, useStart) and isGE(defEnd, useEnd)
    then result instanceof MustTotallyOverlap
    else
      if isLE(defEnd, useStart) or isGE(defStart, useEnd)
      then none()
      else result instanceof MayPartiallyOverlap
}

/**
 * Gets a string representation of the interval [`start`, `end`).
 */
bindingset[start, end]
string getIntervalString(IntValue start, IntValue end) {
  // We represent an interval has half-open, so print it as "[start..end)".
  result = "[" + bitsToBytesAndBits(start) + ".." + bitsToBytesAndBits(end) + ")"
}