mongo::Value interpolate(
    mongo::Value x1, mongo::Value y1, mongo::Value x2, mongo::Value y2, mongo::Value xCoord) {
    // Given two known points (x1, y1) and (x2, y2) and a value x that lies between those two
    // points, we solve (or fill) for y with the following formula: y = y1 + (x - x1) * ((y2 -
    // y1)/(x2 - x1))
    return uassertStatusOK(mongo::ExpressionSubtract::apply(y2, y1).andThen([&](auto&& numerator) {
        return mongo::ExpressionSubtract::apply(x2, x1).andThen([&](auto&& denominator) {
            return mongo::ExpressionDivide::apply(numerator, denominator)
                .andThen([&](auto&& quotient) {
                    return mongo::ExpressionSubtract::apply(xCoord, x1)
                        .andThen([&](auto&& difference) {
                            return mongo::ExpressionMultiply::apply(quotient, difference)
                                .andThen([&](auto&& product) {
                                    return mongo::ExpressionAdd::apply(y1, product);
                                });
                        });
                });
        });
    }));

Value interpolate(Value x1, Value y1, Value x2, Value y2, Value x) {
    using namespace value_arithmetic_operators;
    return y1 + (x - x1) * ((y2 - y1) / (x2 - x1));
}