negate_stage.js
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negate_stage.js
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	function negate_stage(stage) {
	const negated_stage = {};
	for (let key of Object.keys(stage)) {
	if (key === "$or") {
	negated_stage.$nor = stage[key];
	} else if (key === "$nor") {
	negated_stage.$or = stage[key];
	} else if (key === "$and") {
	negated_stage.$or = stage[key].map(expression =>
	negate_stage(expression)
	);
	} else {
	if (stage[key].$not) {
	negated_stage[key] = stage[key].$not;
	} else {
	negated_stage[key] = { $not: stage[key] };
	}
	}
	}
	return negated_stage;
	}

	module.exports = negate_stage;