static double transformBetweenDoubleRanges_verbose(double x, double srcStart, double srcEnd, double destStart, double destEnd) {
  ret transformBetweenDoubleRanges_verbose(x, doubleRange(srcStart, srcEnd), doubleRange(destStart, destEnd));
}

static double transformBetweenDoubleRanges_verbose(double x, DoubleRange src, DoubleRange dest) {
  double x2 = x-src.start;
  double srcL = src.length();
  double x3 = doubleRatio(x2, srcL);
  double destL = dest.length();
  double y1 = destL*x3;
  double y2 = dest.start+y1;
  printVars transformBetweenDoubleRanges_verbose(
    +x, +src, +dest, +x2, +srcL, +x3, +destL, +y1, +y2);
  
  ret y2;
}

static DoubleRange transformBetweenDoubleRanges_verbose(DoubleRange r, DoubleRange src, DoubleRange dest) {
  if (r == null) null;
  double a = transformBetweenDoubleRanges_verbose(r.start, src, dest);
  double b = transformBetweenDoubleRanges_verbose(r.end, src, dest);
  var rr = DoubleRange(a, b);
  printVars transformBetweenDoubleRanges_verbose(+r, +src, +dest, +rr);
  ret rr;
}