lib.rs - source
Description: Source of the Rust file `src/lib.rs`.

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    /// Returns the sum of two numbers.
    pub fn add(left: i128, right: i128) -> i128 {
        left + right
    }
    /// Add for floating point numbers.
    pub fn add_float(left: f64, right: f64) -> f64 {
        left + right
    }
    #[cfg(test)]
    mod test_add {
        use super::*;

        #[test]
        fn it_works() {
            let result = add(2, 2);
            assert_eq!(result, 4);
        }
        #[test]
        fn add_negatives() {
            let result = add(-2, 2);
            assert_eq!(result, 0);
        }
        #[test]
        fn add_floats() {
            let result = add_float(2.0, 2.0);
            assert_eq!(result, 4.0);
        }
    }

    /// Returns the difference of two numbers.
    pub fn subtract(left: i128, right: i128) -> i128 {
        left - right
    }
    /// Returns the difference of two floating point numbers.
    pub fn subtract_float(left: f64, right: f64) -> f64 {
        left - right
    }
    #[cfg(test)]
    mod test_subtract {
        use super::*;

        #[test]
        fn it_works() {
            let result = subtract(2, 2);
            assert_eq!(result, 0);
        }
        #[test]
        fn subtract_negatives() {
            let result = subtract(-2, 2);
            assert_eq!(result, -4);
        }
    }

    /// Multiply left and right numbers.
    pub fn multiply(left: i128, right: i128) -> i128 {
        left * right
    }
    /// Multiply left and right floating point numbers.
    pub fn multiply_float(left: f64, right: f64) -> f64 {
        left * right
    }
    #[cfg(test)]
    mod test_multiply {
        use super::*;

        #[test]
        fn it_works() {
            let result = multiply(2, 2);
            assert_eq!(result, 4);
        }
        #[test]
        fn multiply_negatives() {
            let result = multiply(-2, 2);
            assert_eq!(result, -4);
        }
        #[test]
        fn multiply_floats() {
            let result = multiply_float(2.0, 2.0);
            assert_eq!(result, 4.0);
        }
    }

    /// Returns the quotient of two numbers.
    pub fn divide(left: i128, right: i128) -> i128 {
        left / right
    }
    #[cfg(test)]
    mod test_divide {
        use super::*;

        #[test]
        fn it_works() {
            let result = divide(2, 2);
            assert_eq!(result, 1);
        }
    }

    /// Returns the quotient of two floating point numbers.
    pub fn divide_float(left: f64, right: f64) -> f64 {
        left / right
    }
    /// Returns the remainder of two numbers.
    pub fn modulo(left: i128, right: i128) -> i128 {
        left % right
    }
    /// Returns the remainder of two floating point numbers.
    pub fn modulo_float(left: f64, right: f64) -> f64 {
        left % right
    }
    #[cfg(test)]
    mod test_modulo {
        use super::*;

        #[test]
        fn it_works() {
            let result = modulo(2, 2);
            assert_eq!(result, 0);
        }
        #[test]
        fn modulo_negatives() {
            let result = modulo(-2, 2);
            assert_eq!(result, 0);
        }
        #[test]
        fn modulo_floats() {
            let result = modulo_float(2.0, 2.0);
            assert_eq!(result, 0.0);
        }
    }

    /// Returns the left number raised to the right number.
    pub fn power(left: i128, right: i128) -> i128 {
        left.pow(right.try_into().unwrap())
    }
    /// Returns the left floating point number raised to the right floating point number.
    pub fn power_float(left: f64, right: f64) -> f64 {
        left.powf(right)
    }
    #[cfg(test)]
    mod test_power {
        use super::*;

        #[test]
        fn it_works() {
            let result = power(2, 2);
            assert_eq!(result, 4);
        }
        #[test]
        fn power_negatives() {
            let result = power(-2, 2);
            assert_eq!(result, 4);
        }
        #[test]
        fn power_floats() {
            let result = power_float(2.0, 2.0);
            assert_eq!(result, 4.0);
        }
    }

    /// Returns the left number to the root of the right number.
    pub fn root(left: i128, right: i128) -> i128 {
        let root = 1.0 / right as f64;
        (left as f64).powf(root).round() as i128
    }
    /// Returns the left floating point number to the root of the right floating point number.
    pub fn root_float(left: f64, right: f64) -> f64 {
        let root = 1.0 / right;
        left.powf(root)
    }
    #[cfg(test)]
    mod test_root {
        use super::*;

        #[test]
        fn it_works() {
            let result = root(4, 2);
            assert_eq!(result, 2);
        }
        #[test]
        fn root_negatives() {
            let result = root(-4, 2);
            assert_eq!(result, 0);
        }
        #[test]
        fn root_floats() {
            let result = root_float(4.0, 2.0);
            assert_eq!(result, 2.0);
        }
    }

    /// Returns the factorial of a number.
    pub fn factorial(number: i128) -> i128 {
        if number == 0 {
            1
        } else {
            number * factorial(number - 1)
        }
    }
    /// Returns the factorial of a floating point number.
    pub fn factorial_float(number: f64) -> f64 {
        if number == 0.0 {
            1.0
        } else {
            number * factorial_float(number - 1.0)
        }
    }
    #[cfg(test)]
    mod test_factorial {
        use super::*;

        #[test]
        fn it_works() {
            let result = factorial(4);
            assert_eq!(result, 24);
        }
        #[test]
        fn factorial_floats() {
            let result = factorial_float(4.0);
            assert_eq!(result, 24.0);
        }
    }

    /// Returns the fibonacci of a number.
    pub fn fibonacci(number: i128) -> i128 {
        if number == 0 {
            0
        } else if number == 1 {
            1
        } else {
            fibonacci(number - 1) + fibonacci(number - 2)
        }
    }
    /// Returns the fibbonacci of a floating point number.
    pub fn fibonacci_float(number: f64) -> f64 {
        if number == 0.0 {
            0.0
        } else if number == 1.0 {
            1.0
        } else {
            fibonacci_float(number - 1.0) + fibonacci_float(number - 2.0)
        }
    }
    #[cfg(test)]
    mod test_fibonacci {
        use super::*;

        #[test]
        fn it_works() {
            let result = fibonacci(4);
            assert_eq!(result, 3);
        }
        #[test]
        fn fibonacci_floats() {
            let result = fibonacci_float(4.0);
            assert_eq!(result, 3.0);
        }
    }

    /// Returns true if the number is prime.
    pub fn is_prime(number: i128) -> bool {
        if number <= 1 {
            return false;
        }

        for i in 2..number {
            if number % i == 0 {
                return false;
            }
        }
        true
    }
    /// Returns true if the floating point number is prime.
    pub fn is_prime_float(number: f64) -> bool {
        if number <= 1.0 {
            return false;
        }

        for i in 2..number as i128 {
            if number as i128 % i == 0 {
                return false;
            }
        }
        true
    }
    #[cfg(test)]
    mod test_is_prime {
        use super::*;

        #[test]
        fn it_works() {
            let result = is_prime(4);
            assert_eq!(result, false);
        }
        #[test]
        fn is_prime_floats() {
            let result = is_prime_float(4.0);
            assert_eq!(result, false);
        }
    }

    /// Returns true if the number is even.
    pub fn is_even(number: i128) -> bool {
        number % 2 == 0
    }
    /// Returns true if the floating point number is even.
    pub fn is_even_float(number: f64) -> bool {
        number % 2.0 == 0.0
    }
    #[cfg(test)]
    mod test_is_even {
        use super::*;

        #[test]
        fn it_works() {
            let result = is_even(4);
            assert_eq!(result, true);
        }
        #[test]
        fn is_even_floats() {
            let result = is_even_float(4.0);
            assert_eq!(result, true);
        }
    }

    /// Returns true if the number is odd.
    pub fn is_odd(number: i128) -> bool {
        number % 2 != 0
    }
    /// Returns true if the floating point number is odd.
    pub fn is_odd_float(number: f64) -> bool {
        number % 2.0 != 0.0
    }
    #[cfg(test)]
    mod test_is_odd {
        use super::*;

        #[test]
        fn it_works() {
            let result = is_odd(4);
            assert_eq!(result, false);
        }
        #[test]
        fn is_odd_floats() {
            let result = is_odd_float(4.0);
            assert_eq!(result, false);
        }
    }

    /// Returns true if the number is positive.
    pub fn is_perfect_square(number: i128) -> bool {
        let sqrt = (number as f64).sqrt() as i128;
        sqrt * sqrt == number
    }
    /// Returns true if the floating point number is perfect square.
    pub fn is_perfect_square_float(number: f64) -> bool {
        let sqrt = number.sqrt();
        sqrt * sqrt == number
    }
    #[cfg(test)]
    mod test_is_perfect_square {
        use super::*;

        #[test]
        fn it_works() {
            let result = is_perfect_square(4);
            assert_eq!(result, true);
        }
        #[test]
        fn is_perfect_square_floats() {
            let result = is_perfect_square_float(4.0);
            assert_eq!(result, true);
        }
    }

    /// Returns true if the number is perfect cube.
    pub fn is_perfect_cube(number: i128) -> bool {
        let cbrt = (number as f64).cbrt() as i128;
        cbrt * cbrt * cbrt == number
    }
    /// Returns true if the floating point number is perfect cube.
    pub fn is_perfect_cube_float(number: f64) -> bool {
        let cbrt = number.cbrt();
        cbrt * cbrt * cbrt == number
    }
    #[cfg(test)]
    mod test_is_perfect_cube {
        use super::*;

        #[test]
        fn it_works() {
            let result = is_perfect_cube(4);
            assert_eq!(result, false);
        }
        #[test]
        fn is_perfect_cube_floats() {
            let result = is_perfect_cube_float(4.0);
            assert_eq!(result, false);
        }
    }

    /// Returns true if the number is perfect power.
    pub fn is_perfect_power(number: i128) -> bool {
        let sqrt = (number as f64).sqrt() as i128;
        sqrt * sqrt == number
    }
    /// Returns true if the floating point number is perfect power.
    pub fn is_perfect_power_float(number: f64) -> bool {
        let sqrt = number.sqrt();
        sqrt * sqrt == number
    }
    #[cfg(test)]
    mod test_is_perfect_power {
        use super::*;

        #[test]
        fn it_works() {
            let result = is_perfect_power(4);
            assert_eq!(result, true);
        }
        #[test]
        fn is_perfect_power_floats() {
            let result = is_perfect_power_float(4.0);
            assert_eq!(result, true);
        }
    }

    // Single Vector Operations ------------------------------------------------------------------------

    /// Returns the sum of all elements in a vector
    pub fn vector_sum(vector: Vec<i128>) -> i128 {
        let mut result = 0;

        for i in 0..vector.len() {
            result += vector[i];
        }
        result
    }
    /// Returns the sum of all elements in a float vector
    pub fn vector_sum_float(vector: Vec<f64>) -> f64 {
        let mut result = 0.0;

        for i in 0..vector.len() {
            result += vector[i];
        }
        result
    }
    #[cfg(test)]
    mod test_vector_sum {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_sum(vec![1, 2, 3]);
            assert_eq!(result, 6);
        }
        #[test]
        fn it_works_floats() {
            let result = vector_sum_float(vec![1.0, 2.0, 3.0]);
            assert_eq!(result, 6.0);
        }
    }

    /// Returns the product of all elements in a vector
    pub fn vector_product(vector: Vec<i128>) -> i128 {
        let mut result = 1;

        for i in 0..vector.len() {
            result *= vector[i];
        }

        result
    }
    /// Returns the product of all elements in a float vector
    pub fn vector_product_float(vector: Vec<f64>) -> f64 {
        let mut result = 1.0;

        for i in 0..vector.len() {
            result *= vector[i];
        }

        result
    }
    #[cfg(test)]
    mod test_vector_product {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_product(vec![1, 2, 3]);
            assert_eq!(result, 6);
        }
        #[test]
        fn it_works_floats() {
            let result = vector_product_float(vec![1.0, 2.0, 3.0]);
            assert_eq!(result, 6.0);
        }
    }

    /// Returns the mean of all elements in a vector
    pub fn vector_mean(vector: Vec<i128>) -> i128 {
        vector_sum(vector.clone()) / vector.len() as i128
    }
    /// Returns the mean of all elements in a float vector
    pub fn vector_mean_float(vector: Vec<f64>) -> f64 {
        vector_sum_float(vector.clone()) / vector.len() as f64
    }
    #[cfg(test)]
    mod test_vector_mean {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_mean(vec![1, 2, 3]);
            assert_eq!(result, 2);
        }
        #[test]
        fn it_works_floats() {
            let result = vector_mean_float(vec![1.0, 2.0, 3.0]);
            assert_eq!(result, 2.0);
        }
    }

    /// Returns the median of all elements in a vector
    pub fn vector_median(vector: Vec<i128>) -> i128 {
        let mut sorted_vector = vector.clone();
        sorted_vector.sort();

        if sorted_vector.len() % 2 == 0 {
            (sorted_vector[sorted_vector.len() / 2] + sorted_vector[sorted_vector.len() / 2 - 1]) / 2
        } else {
            sorted_vector[sorted_vector.len() / 2]
        }
    }
    /// Returns the median of all elements in a float vector
    pub fn vector_median_float(vector: Vec<f64>) -> f64 {
        let mut sorted_vector = vector.clone();
        sorted_vector.sort_by(|a, b| a.partial_cmp(b).unwrap());

        if sorted_vector.len() % 2 == 0 {
            (sorted_vector[sorted_vector.len() / 2] + sorted_vector[sorted_vector.len() / 2 - 1]) / 2.0
        } else {
            sorted_vector[sorted_vector.len() / 2]
        }
    }
    #[cfg(test)]
    mod test_vector_median {
        use super::*;

        #[test]
        fn it_works() {
            let result = two_vector_median(vec![1, 2, 3], vec![4, 5, 6]);
            println!("{}", result.len());
        }
        #[test]
        fn it_works_floats() {
            let result = vector_median_float(vec![1.0, 2.0, 3.0]);
            assert_eq!(result, 2.0);
        }
    }

    /// Returns the mode of all elements in a vector
    use std::collections::HashMap;
    pub fn vector_mode(vector: Vec<i128>) -> i128 {
        let mut counts = HashMap::new();

        for i in 0..vector.len() {
            let count = counts.entry(vector[i]).or_insert(0);
            *count += 1;
        }

        let mut max = 0;
        let mut mode = 0;

        for (key, value) in counts {
            if value > max {
                max = value;
                mode = key;
            }
        }
        mode
    }
    // TODO: Fix this
    /// Returns the mode of all elements in a float vector
    // pub fn vector_mode_float(vector: Vec<f64>) -> i128 {
    //     let mut counts = HashMap::new();
    //
    //     for i in 0..vector.len() {
    //         let count = counts.entry(vector[i]).or_insert(0);
    //         *count += 1;
    //     }
    //
    //     let mut max = 0;
    //     let mut mode = 0.0;
    //
    //     for (key, value) in counts {
    //         if value > max {
    //             max = value;
    //             mode = key;
    //         }
    //     }
    //     mode
    // }
    #[cfg(test)]
    mod test_vector_mode {
        use super::*;

        #[test]
        fn it_works() {
            let result = two_vector_mode(vec![1, 2, 3], vec![4, 5, 6]);
            println!("{}", result.len());
        }
        // #[test]
        // fn it_works_floats() {
        //     let result = vector_mode_float(vec![1.0, 2.0, 3.0]);
        //     assert_eq!(result, 1.0);
        // }
    }

    /// Returns the range of all elements in a vector
    pub fn vector_range(vector: Vec<i128>) -> i128 {
        let mut sorted = vector.clone();
        sorted.sort();
        sorted[sorted.len() - 1] - sorted[0]
    }
    /// Returns the range of all elements in a float vector
    pub fn vector_range_float(vector: Vec<f64>) -> f64 {
        let mut sorted = vector.clone();
        sorted.sort_by(|a, b| a.partial_cmp(b).unwrap());
        sorted[sorted.len() - 1] - sorted[0]
    }
    #[cfg(test)]
    mod test_vector_range {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_range(vec![1, 2, 3]);
            assert_eq!(result, 2);
        }
        #[test]
        fn it_works_floats() {
            let result = vector_range_float(vec![1.0, 2.0, 3.0]);
            assert_eq!(result, 2.0);
        }
    }
    // -------------------------------------------------------------------------------------------------
    /// Returns the interquartile range of all elements in a vector
    pub fn vector_interquartile_range(vector: Vec<i128>) -> i128 {
        let mut sorted = vector.clone();
        sorted.sort();
        let q1 = vector_median(sorted[0..sorted.len() / 2].to_vec());
        let q3 = vector_median(sorted[sorted.len() / 2..sorted.len()].to_vec());
        q3 - q1
    }
    /// Returns the interquartile range of all elements in a float vector
    pub fn vector_interquartile_range_float(vector: Vec<f64>) -> f64 {
        let mut sorted = vector.clone();
        sorted.sort_by(|a, b| a.partial_cmp(b).unwrap());
        let q1 = vector_median_float(sorted[0..sorted.len() / 2].to_vec());
        let q3 = vector_median_float(sorted[sorted.len() / 2..sorted.len()].to_vec());
        q3 - q1
    }
    #[cfg(test)]
    mod test_vector_interquartile_range {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_interquartile_range(vec![1, 2, 3]);
            assert_eq!(result, 1);
        }
        #[test]
        fn it_works_floats() {
            let result = vector_interquartile_range_float(vec![1.0, 2.0, 3.0]);
            assert_eq!(result, 1.5);
        }
    }
    // -------------------------------------------------------------------------------------------------
    /// Returns the variance of all elements in a vector
    pub fn vector_variance(vector: Vec<i128>) -> String {
        let mean = vector_mean(vector.clone());
        let mut sum = 0;

        for i in 0..vector.len() {
            sum += (vector[i] - mean).pow(2);
        }

        format!("{:.2}", sum as f64 / vector.len() as f64)
    }
    /// Returns the variance of all elements in a float vector
    pub fn vector_variance_float(vector: Vec<f64>) -> f64 {
        let mean = vector_mean_float(vector.clone());
        let mut sum = 0.0;

        for i in 0..vector.len() {
            sum += (vector[i] - mean).powf(2.0);
        }

        sum / vector.len() as f64
    }
    #[cfg(test)]
    mod test_vector_variance {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_variance(vec![1, 2, 3]);
            assert_eq!(result, "0.67");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_variance_float(vec![1.0, 2.0, 3.0]);
            assert_eq!(result, 0.6666666666666666);
        }
    }

    /// Returns the standard deviation of all elements in a vector
    pub fn vector_standard_deviation(vector: Vec<i128>) -> String {
        let variance = vector_variance(vector.clone());
        format!("{:.2}", variance.parse::<f64>().unwrap().sqrt())
    }
    /// Returns the standard deviation of all elements in a float vector
    pub fn vector_standard_deviation_float(vector: Vec<f64>) -> f64 {
        let variance = vector_variance_float(vector.clone());
        variance.sqrt()
    }
    #[cfg(test)]
    mod test_vector_standard_deviation {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_standard_deviation(vec![1, 2, 3]);
            assert_eq!(result, "0.82");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_standard_deviation_float(vec![1.0, 2.0, 3.0]);
            assert_eq!(result, 0.816496580927726);
        }
    }

    /// Returns the quartiles of all elements in a vector
    pub fn vector_quartiles(vector: Vec<i128>) -> String {
        let mut sorted = vector.clone();
        sorted.sort();

        let q1 = sorted[sorted.len() / 4];
        let q2 = sorted[sorted.len() / 2];
        let q3 = sorted[sorted.len() * 3 / 4];

        format!("Q1: {}, Q2: {}, Q3: {}", q1, q2, q3)
    }
    /// Returns the quartiles of all elements in a float vector
    pub fn vector_quartiles_float(vector: Vec<f64>) -> String {
        let mut sorted = vector.clone();
        sorted.sort_by(|a, b| a.partial_cmp(b).unwrap());

        let q1 = sorted[sorted.len() / 4];
        let q2 = sorted[sorted.len() / 2];
        let q3 = sorted[sorted.len() * 3 / 4];

        format!("Q1: {}, Q2: {}, Q3: {}", q1, q2, q3)
    }
    #[cfg(test)]
    mod test_vector_quartiles {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_quartiles(vec![1, 2, 3]);
            assert_eq!(result, ("Q1: 1, Q2: 2, Q3: 3"));
        }
        #[test]
        fn it_works_floats() {
            let result = vector_quartiles_float(vec![1.0, 2.0, 3.0]);
            assert_eq!(result, ("Q1: 1, Q2: 2, Q3: 3"));
        }
    }

    // Multi Vector Operations -------------------------------------------------------------------------

    /// Returns the sum of two vectors
    pub fn vector_add(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(add(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    // Returns the sum of two float vectors
    pub fn vector_add_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(add_float(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_vector_add {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_add(vec![1, 2, 3], vec![1, 2, 3]);
            assert_eq!(result, "2, 4, 6");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_add_float(vec![1.0, 2.0, 3.0], vec![1.0, 2.0, 3.0]);
            assert_eq!(result, "2, 4, 6");
        }
    }

    /// Returns the difference of two vectors
    pub fn vector_subtract(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(subtract(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    /// Returns the difference of two float vectors
    pub fn vector_subtract_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(subtract_float(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_vector_subtract {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_subtract(vec![1, 2, 3], vec![1, 2, 3]);

            assert_eq!(result, "0, 0, 0");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_subtract_float(vec![1.0, 2.0, 3.0], vec![1.0, 2.0, 3.0]);

            assert_eq!(result, "0, 0, 0");
        }
    }

    /// Returns the product of two vectors
    pub fn vector_multiply(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(multiply(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    /// Returns the product of two float vectors
    pub fn vector_multiply_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(multiply_float(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_vector_multiply {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_multiply(vec![1, 2, 3], vec![1, 2, 3]);
            assert_eq!(result, "1, 4, 9");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_multiply_float(vec![1.0, 2.0, 3.0], vec![1.0, 2.0, 3.0]);
            assert_eq!(result, "1, 4, 9");
        }
    }

    /// Returns the quotient of two vectors
    pub fn vector_divide(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(divide(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    /// Returns the quotient of two float vectors
    pub fn vector_divide_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(divide_float(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_vector_divide {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_divide(vec![1, 2, 3], vec![1, 2, 3]);
            assert_eq!(result, "1, 1, 1");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_divide_float(vec![1.0, 2.0, 3.0], vec![1.0, 2.0, 3.0]);
            assert_eq!(result, "1, 1, 1");
        }
    }

    /// Returns the remainder of two vectors
    pub fn vector_modulo(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(modulo(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    /// Returns the modoulo of two vectors float
    pub fn vector_modulo_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(modulo_float(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_vector_modulo {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_modulo(vec![1, 2, 3], vec![1, 2, 3]);
            assert_eq!(result, "0, 0, 0");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_modulo_float(vec![1.0, 2.0, 3.0], vec![1.0, 2.0, 3.0]);
            assert_eq!(result, "0, 0, 0");
        }
    }

    /// Returns the power of two vectors
    pub fn vector_power(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(power(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    /// Returns the power of two vectors float
    pub fn vector_power_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(power_float(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_vector_power {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_power(vec![1, 2, 3], vec![1, 2, 3]);
            assert_eq!(result, "1, 4, 27");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_power_float(vec![1.0, 2.0, 3.0], vec![1.0, 2.0, 3.0]);
            assert_eq!(result, "1, 4, 27");
        }
    }

    /// Returns the root of two vectors
    pub fn vector_root(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(root(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    /// Returns the root of two vectors float
    pub fn vector_root_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push(root_float(left[i], right[i]));
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_vector_root {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_root(vec![1, 4, 27], vec![1, 2, 3]);
            assert_eq!(result, "1, 2, 3");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_root_float(vec![1.0, 4.0, 27.0], vec![1.0, 2.0, 3.0]);
            assert_eq!(result, "1, 2, 3");
        }
    }

    /// Returns the minimum of two vectors
    pub fn vector_min(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            if left[i] < right[i] {
                result.push(left[i]);
            } else {
                result.push(right[i]);
            }
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    /// Returns the minimum of two vectors float
    pub fn vector_min_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            if left[i] < right[i] {
                result.push(left[i]);
            } else {
                result.push(right[i]);
            }
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_vector_min {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_min(vec![1, 2, 3], vec![1, 2, 3]);
            assert_eq!(result, "1, 2, 3");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_min_float(vec![1.0, 2.0, 3.0], vec![1.0, 2.0, 3.0]);
            assert_eq!(result, "1, 2, 3");
        }
    }

    /// Returns the maximum of two vectors
    pub fn vector_max(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            if left[i] > right[i] {
                result.push(left[i]);
            } else {
                result.push(right[i]);
            }
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    /// Returns the maximum of two vectors float
    pub fn vector_max_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            if left[i] > right[i] {
                result.push(left[i]);
            } else {
                result.push(right[i]);
            }
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_vector_max {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_max(vec![1, 2, 3], vec![1, 2, 3]);
            assert_eq!(result, "1, 2, 3");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_max_float(vec![1.0, 2.0, 3.0], vec![1.0, 2.0, 3.0]);
            assert_eq!(result, "1, 2, 3");
        }
    }

    /// Returns the average of two vectors
    pub fn vector_average(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push((left[i] + right[i]) / 2);
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    /// Returns the average of two vectors float
    pub fn vector_average_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push((left[i] + right[i]) / 2.0);
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_vector_average {
        use super::*;

        #[test]
        fn it_works() {
            let result = vector_average(vec![1, 2, 3], vec![1, 2, 3]);
            assert_eq!(result, "1, 2, 3");
        }
        #[test]
        fn it_works_floats() {
            let result = vector_average_float(vec![1.0, 2.0, 3.0], vec![1.0, 2.0, 3.0]);
            assert_eq!(result, "1, 2, 3");
        }
    }

    /// Returns the median of two vectors
    pub fn two_vector_median(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push((left[i] + right[i]) / 2);
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    /// Returns the median of two vectors float
    pub fn two_vector_median_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push((left[i] + right[i]) / 2.0);
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_two_vector_median {
        use super::*;

        #[test]
        fn it_works() {
            let result = two_vector_median(vec![1, 2, 3], vec![1, 2, 3]);
            assert_eq!(result, "1, 2, 3");
        }
        #[test]
        fn it_works_floats() {
            let result = two_vector_median_float(vec![1.0, 2.0, 3.0], vec![1.0, 2.0, 3.0]);
            assert_eq!(result, "1, 2, 3");
        }
    }

    /// Returns the mode of two vectors
    pub fn two_vector_mode(left: Vec<i128>, right: Vec<i128>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push((left[i] + right[i]) / 2);
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    /// Returns the mode of two vectors float
    pub fn two_vector_mode_float(left: Vec<f64>, right: Vec<f64>) -> String {
        let mut result = Vec::new();

        for i in 0..left.len() {
            result.push((left[i] + right[i]) / 2.0);
        }
        // since Vec<usize> doesn't implement Display, we have to convert it to a string
        let mut string = String::new();
        for i in 0..result.len() {
            string.push_str(&result[i].to_string());
            // add a comma after each element except the last one
            if i != result.len() - 1 {
                string.push_str(", ");
            }
        }
        string
    }
    #[cfg(test)]
    mod test_two_vector_mode {
        use super::*;

        #[test]
        fn it_works() {
            let result = two_vector_mode(vec![1, 2, 3], vec![1, 2, 3]);
            assert_eq!(result, "1, 2, 3");
        }
        #[test]
        fn it_works_floats() {
            let result = two_vector_mode_float(vec![1.0, 2.0, 3.0], vec![1.0, 2.0, 3.0]);
            assert_eq!(result, "1, 2, 3");
        }
    }

    // Dataframe functions  ----------------------------------------------------------------------------

    /// A dataframe struct similar to pythons pandas dataframe
    pub struct DataFrame {
        columns: Vec<String>,
        data: Vec<Vec<i128>>,
    }
    impl DataFrame {
        /// Creates a new dataframe
        pub fn new() -> DataFrame {
            DataFrame {
                columns: Vec::new(),
                data: Vec::new(),
            }
        }
        /// Adds a column to the dataframe
        pub fn add_column(&mut self, name: &str, data: &Vec<i128>) {
            self.columns.push(name.to_string());
            self.data.push(data.clone());
        }
        /// Returns the column names
        pub fn get_columns(&self) -> Vec<String> {
            self.columns.clone()
        }
        /// Returns the data
        pub fn get_data(&self) -> Vec<Vec<i128>> {
            self.data.clone()
        }
        /// Returns the column names
        pub fn get_column(&self, name: &str) -> Result<Vec<i128>, &'static str> {
            let mut result = Vec::new();

            for i in 0..self.columns.len() {
                if self.columns[i] == name {
                    result = self.data[i].clone();
                }
            }
            if result.len() == 0 {
                return Err("Column not found");
            }
            Ok(result)
        }
        /// Returns the column names
        pub fn get_column_index(&self, name: &str) -> Result<i128, &'static str> {
            let mut result = 0;

            for i in 0..self.columns.len() {
                if self.columns[i] == name {
                    result = i;
                }
            }

            if result == 0 {
                return Err("Column not found");
            }

            Ok(result as i128)
        }
        /// Returns the column names
        pub fn get_column_name(&self, index: i128) -> Result<String, &'static str> {
            if index > self.columns.len() as i128 {
                return Err("Column not found");
            }

            Ok(self.columns[index as usize].clone())
        }
        /// Returns the column names
        pub fn get_column_count(&self) -> i128 {
            self.columns.len() as i128
        }
        /// Returns the column names
        pub fn get_row_count(&self) -> usize {
            self.data[0].len()
        }
    }

    /// Creates a new dataframe
    pub fn dataframe_create(
        columns: Vec<String>,
        data: Vec<Vec<i128>>,
    ) -> Result<DataFrame, &'static str> {
        if columns.len() != data.len() {
            return Err("Column count does not match data count");
        }

        for i in 0..data.len() {
            if data[i].len() != data[0].len() {
                return Err("Data length does not match");
            }
        }

        Ok(DataFrame {
            columns: columns,
            data: data,
        })
    }
    #[cfg(test)]
    mod test_dataframe_create {
        use super::*;

        #[test]
        fn it_works() {
            let result = dataframe_create(
                vec!["a".to_string(), "b".to_string(), "c".to_string()],
                vec![vec![1, 2, 3], vec![1, 2, 3], vec![1, 2, 3]],
            );

            assert_eq!(result.is_ok(), true);
        }
        #[test]
        fn display_dataframe() {
            let result = dataframe_create(
                vec!["a".to_string(), "b".to_string(), "c".to_string()],
                vec![vec![1, 2, 3], vec![1, 2, 3], vec![1, 2, 3]],
            );

            assert_eq!(
                result.unwrap().get_columns(),
                vec!["a".to_string(), "b".to_string(), "c".to_string()]
            );
        }
    }

    /// Equation with an a, b, and operator.
    /// Sol is the solution to the equation and is calculated when get_sol() is called.
    ///
    /// # Example
    /// ```
    /// ```
    pub struct Equation {
        a: i128,
        b: i128,
        operator: char,
        sol: i128,
    }
    impl Equation {
        /// Creates a new equation
        pub fn new(a: i128, b: i128, operator: char) -> Equation {
            Equation {
                a: a,
                b: b,
                operator: operator,
                sol: 0,
            }
        }
        /// Returns the solution to the equation
        pub fn get_sol(&mut self) -> i128 {
            if self.sol == 0 {
                self.sol = match self.operator {
                    '+' => add(self.a, self.b),
                    '-' => subtract(self.a, self.b),
                    '*' => multiply(self.a, self.b),
                    '/' => divide(self.a, self.b),
                    '%' => modulo(self.a, self.b),
                    '^' => power(self.a, self.b),
                    _ => 0,
                };
            }
            self.sol
        }
        /// sets the a value
        pub fn set_a(&mut self, a: i128) {
            self.a = a;
        }
        /// sets the b value
        pub fn set_b(&mut self, b: i128) {
            self.b = b;
        }
        /// sets the operator
        pub fn set_operator(&mut self, operator: char) {
            self.operator = operator;
        }
        /// returns the a value
        pub fn get_a(&self) -> i128 {
            self.a
        }
        /// returns the b value
        pub fn get_b(&self) -> i128 {
            self.b
        }
        /// returns the operator
        pub fn get_operator(&self) -> char {
            self.operator
        }
    }
    #[cfg(test)]
    mod test_equation {
        use super::*;

        #[test]
        fn it_works() {
            let mut equation = Equation::new(1, 2, '+');
            assert_eq!(equation.get_sol(), 3);
        }
        #[test]
        fn set_a() {
            let mut equation = Equation::new(1, 2, '+');
            equation.set_a(3);
            assert_eq!(equation.get_a(), 3);
        }
        #[test]
        fn set_b() {
            let mut equation = Equation::new(1, 2, '+');
            equation.set_b(3);
            assert_eq!(equation.get_b(), 3);
        }
        #[test]
        fn set_operator() {
            let mut equation = Equation::new(1, 2, '+');
            equation.set_operator('-');
            assert_eq!(equation.get_operator(), '-');
        }
    }

    /// ZeroEquation is an equation with a list of values on one side and a solution on the other.
    /// Similar to Equation, but with a list of values (in a Vec) that will add up to the solution
    /// (or be subtracted if the number is negative).  Sol is set to 0 and values can be moved to
    /// the solution side of the equation with move_to_sol().
    ///
    /// # Example
    /// ```
    /// ```
    pub struct ZeroEquation {
        values: Vec<i128>,  // accepts lists of positive or negative numbers
        sol: i128,  // zero by default, but can be set to any number
        is_valid: bool,  // true if the values add up to the solution
    }

    impl ZeroEquation {
        pub fn new(values: Vec<i128>) -> ZeroEquation {
            ZeroEquation {
                values: values,
                sol: 0,
                is_valid: false,
            }
        }
        // returns all values
        pub fn get_values(&self) -> Vec<i128> {
            self.values.clone()
        }
        pub fn get_value(&self, index: usize) -> i128 {
            self.values[index]
        }
        // add a value to the list
        pub fn add_value(&mut self, value: i128) {
            self.values.push(value);
            // chcek equation after altering to see if it is valid
            self.check_sol();
        }
        // remove a value from the list
        pub fn remove_value(&mut self, index: usize) {
            self.values.remove(index);
            // chcek equation after altering to see if it is valid
            self.check_sol();
        }
        // returns the solution
        pub fn get_sol(&self) -> i128 {
            self.sol
        }
        // moves a value to the solution side of the equation
        pub fn move_to_sol(&mut self, index: usize) -> i128 {
            self.sol += self.values[index];
            self.values.remove(index);
            self.sol
        }
        // checks if the values add up to the solution
        fn check_sol(&mut self) {
            let mut sum = 0;
            for value in &self.values {
                sum += value;
            }
            if sum == self.sol {
                self.is_valid = true;
            }
        }
        // returns true if the values add up to the solution
        pub fn is_valid(&mut self) -> bool {
            self.check_sol();
            self.is_valid
        }
        // returns the difference between the solution and the sum of the values if the values do not add up to the solution
        pub fn get_error(&mut self) -> i128 {
            self.check_sol();
            if self.is_valid {
                0
            } else {
                self.sol - self.values.iter().sum::<i128>()
            }
        }
    }
    #[cfg(test)]
    mod test_zero_equation {
        use super::*;

        #[test]
        fn it_works() {
            let mut equation = ZeroEquation::new(vec![1, 2, 3]);
            assert_eq!(equation.get_sol(), 0);
            assert_eq!(equation.get_values(), vec![1, 2, 3]);
            assert_eq!(equation.get_value(0), 1);
            assert_eq!(equation.get_value(1), 2);
            assert_eq!(equation.get_value(2), 3);
            assert_eq!(equation.move_to_sol(2), 3);
            assert_eq!(equation.get_sol(), 3);
            assert_eq!(equation.get_values(), vec![1, 2]);
            assert_eq!(equation.get_value(0), 1);
            assert_eq!(equation.get_value(1), 2);
            assert_eq!(equation.is_valid(), true);
            assert_eq!(equation.get_error(), 0);
        }
        #[test]
        fn add_value() {
            let mut equation = ZeroEquation::new(vec![1, 2, 3]);
            equation.add_value(4);
            assert_eq!(equation.get_values(), vec![1, 2, 3, 4]);
        }
        #[test]
        fn remove_value() {
            let mut equation = ZeroEquation::new(vec![1, 2, 3]);
            equation.remove_value(1);
            assert_eq!(equation.get_values(), vec![1, 3]);
        }
        #[test]
        fn get_sol() {
            let equation = ZeroEquation::new(vec![1, 2, 3]);
            assert_eq!(equation.get_sol(), 0);
        }
        #[test]
        fn move_to_sol() {
            let mut equation = ZeroEquation::new(vec![1, 2, 3]);
            assert_eq!(equation.move_to_sol(2), 3);
        }
        #[test]
        fn is_valid() {
            let mut equation = ZeroEquation::new(vec![1, 2, 3]);
            assert_eq!(equation.is_valid(), false);
        }
        #[test]
        fn get_error() {
            let mut equation = ZeroEquation::new(vec![1, 2, 3]);
            assert_eq!(equation.get_error(), -6);
            equation.move_to_sol(2);
            // equation is now 1 + 2 = 3 (valid) so error should be 0
            assert_eq!(equation.get_error(), 0);
            println!("solution: {}", equation.get_sol());
            println!("values: {:?}", equation.get_values());

            equation.add_value(4);
            println!("solution: {}", equation.get_sol());
            println!("values: {:?}", equation.get_values());
            println!("error: {}", equation.is_valid());
        }
    }