decimal_tests.rs

use core::{
    cmp::Ordering::*,
    convert::{TryFrom, TryInto},
    str::FromStr,
};
use num_traits::{Signed, ToPrimitive};
use rust_decimal::{Decimal, Error, RoundingStrategy};

macro_rules! either {
    ($result:expr, $legacy_result:expr) => {
        if cfg!(feature = "legacy-ops") {
            $legacy_result
        } else {
            $result
        }
    };
}

#[test]
#[cfg(feature = "c-repr")]
fn layout_is_correct() {
    assert_eq!(std::mem::size_of::<Decimal>(), std::mem::size_of::<u128>());
}

#[test]
fn it_can_extract_the_mantissa() {
    let tests = [
        ("1", 1i128, 0),
        ("1.123456", 1123456i128, 6),
        ("-0.123456", -123456i128, 6),
    ];
    for &(input, mantissa, scale) in &tests {
        let num = Decimal::from_str(input).unwrap();
        assert_eq!(num.mantissa(), mantissa, "Mantissa for {}", input);
        assert_eq!(num.scale(), scale, "Scale for {}", input);
    }
}

// Parsing

#[test]
fn it_creates_a_new_negative_decimal() {
    let a = Decimal::new(-100, 2);
    assert_eq!(a.is_sign_negative(), true);
    assert_eq!(a.scale(), 2);
    assert_eq!("-1.00", a.to_string());
}

#[test]
fn it_creates_a_new_decimal_using_numeric_boundaries() {
    let a = Decimal::new(i64::MAX, 2);
    assert_eq!(a.is_sign_negative(), false);
    assert_eq!(a.scale(), 2);
    assert_eq!("92233720368547758.07", a.to_string());

    let b = Decimal::new(i64::MIN, 2);
    assert_eq!(b.is_sign_negative(), true);
    assert_eq!(b.scale(), 2);
    assert_eq!("-92233720368547758.08", b.to_string());
}

#[test]
fn it_parses_empty_string() {
    assert!(Decimal::from_str("").is_err());
    assert!(Decimal::from_str(" ").is_err());
}

#[test]
fn it_parses_positive_int_string() {
    let a = Decimal::from_str("233").unwrap();
    assert_eq!(a.is_sign_negative(), false);
    assert_eq!(a.scale(), 0);
    assert_eq!("233", a.to_string());
}

#[test]
fn it_parses_negative_int_string() {
    let a = Decimal::from_str("-233").unwrap();
    assert_eq!(a.is_sign_negative(), true);
    assert_eq!(a.scale(), 0);
    assert_eq!("-233", a.to_string());
}

#[test]
fn it_parses_positive_float_string() {
    let a = Decimal::from_str("233.323223").unwrap();
    assert_eq!(a.is_sign_negative(), false);
    assert_eq!(a.scale(), 6);
    assert_eq!("233.323223", a.to_string());
}

#[test]
fn it_parses_negative_float_string() {
    let a = Decimal::from_str("-233.43343").unwrap();
    assert_eq!(a.is_sign_negative(), true);
    assert_eq!(a.scale(), 5);
    assert_eq!("-233.43343", a.to_string());
}

#[test]
fn it_parses_positive_tiny_float_string() {
    let a = Decimal::from_str(".000001").unwrap();
    assert_eq!(a.is_sign_negative(), false);
    assert_eq!(a.scale(), 6);
    assert_eq!("0.000001", a.to_string());
}

#[test]
fn it_parses_negative_tiny_float_string() {
    let a = Decimal::from_str("-0.000001").unwrap();
    assert_eq!(a.is_sign_negative(), true);
    assert_eq!(a.scale(), 6);
    assert_eq!("-0.000001", a.to_string());
}

#[test]
fn it_parses_big_integer_string() {
    let a = Decimal::from_str("79228162514264337593543950330").unwrap();
    assert_eq!("79228162514264337593543950330", a.to_string());
}

#[test]
fn it_parses_big_float_string() {
    let a = Decimal::from_str("79.228162514264337593543950330").unwrap();
    assert_eq!("79.228162514264337593543950330", a.to_string());
}

#[test]
fn it_can_serialize_deserialize() {
    let tests = [
        "12.3456789",
        "5233.9008808150288439427720175",
        "-5233.9008808150288439427720175",
    ];
    for test in &tests {
        let a = Decimal::from_str(test).unwrap();
        let bytes = a.serialize();
        let b = Decimal::deserialize(bytes);
        assert_eq!(test.to_string(), b.to_string());
    }
}

// Formatting

#[test]
fn it_formats() {
    let a = Decimal::from_str("233.323223").unwrap();
    assert_eq!(format!("{}", a), "233.323223");
    assert_eq!(format!("{:.9}", a), "233.323223000");
    assert_eq!(format!("{:.0}", a), "233");
    assert_eq!(format!("{:.2}", a), "233.32");
    assert_eq!(format!("{:010.2}", a), "0000233.32");
    assert_eq!(format!("{:0<10.2}", a), "233.320000");
}
#[test]
fn it_formats_neg() {
    let a = Decimal::from_str("-233.323223").unwrap();
    assert_eq!(format!("{}", a), "-233.323223");
    assert_eq!(format!("{:.9}", a), "-233.323223000");
    assert_eq!(format!("{:.0}", a), "-233");
    assert_eq!(format!("{:.2}", a), "-233.32");
    assert_eq!(format!("{:010.2}", a), "-000233.32");
    assert_eq!(format!("{:0<10.2}", a), "-233.32000");
}
#[test]
fn it_formats_small() {
    let a = Decimal::from_str("0.2223").unwrap();
    assert_eq!(format!("{}", a), "0.2223");
    assert_eq!(format!("{:.9}", a), "0.222300000");
    assert_eq!(format!("{:.0}", a), "0");
    assert_eq!(format!("{:.2}", a), "0.22");
    assert_eq!(format!("{:010.2}", a), "0000000.22");
    assert_eq!(format!("{:0<10.2}", a), "0.22000000");
}
#[test]
fn it_formats_small_leading_zeros() {
    let a = Decimal::from_str("0.0023554701772169").unwrap();
    assert_eq!(format!("{}", a), "0.0023554701772169");
    assert_eq!(format!("{:.9}", a), "0.002355470");
    assert_eq!(format!("{:.0}", a), "0");
    assert_eq!(format!("{:.2}", a), "0.00");
    assert_eq!(format!("{:010.2}", a), "0000000.00");
    assert_eq!(format!("{:0<10.2}", a), "0.00000000");
}
#[test]
fn it_formats_small_neg() {
    let a = Decimal::from_str("-0.2223").unwrap();
    assert_eq!(format!("{}", a), "-0.2223");
    assert_eq!(format!("{:.9}", a), "-0.222300000");
    assert_eq!(format!("{:.0}", a), "-0");
    assert_eq!(format!("{:.2}", a), "-0.22");
    assert_eq!(format!("{:010.2}", a), "-000000.22");
    assert_eq!(format!("{:0<10.2}", a), "-0.2200000");
}

#[test]
fn it_formats_zero() {
    let a = Decimal::from_str("0").unwrap();
    assert_eq!(format!("{}", a), "0");
    assert_eq!(format!("{:.9}", a), "0.000000000");
    assert_eq!(format!("{:.0}", a), "0");
    assert_eq!(format!("{:.2}", a), "0.00");
    assert_eq!(format!("{:010.2}", a), "0000000.00");
    assert_eq!(format!("{:0<10.2}", a), "0.00000000");
}

#[test]
fn it_formats_int() {
    let a = Decimal::from_str("5").unwrap();
    assert_eq!(format!("{}", a), "5");
    assert_eq!(format!("{:.9}", a), "5.000000000");
    assert_eq!(format!("{:.0}", a), "5");
    assert_eq!(format!("{:.2}", a), "5.00");
    assert_eq!(format!("{:010.2}", a), "0000005.00");
    assert_eq!(format!("{:0<10.2}", a), "5.00000000");
}

#[test]
fn it_formats_lower_exp() {
    let tests = [
        ("0.00001", "1e-5"),
        ("-0.00001", "-1e-5"),
        ("42.123", "4.2123e1"),
        ("-42.123", "-4.2123e1"),
        ("100", "1e2"),
    ];
    for (value, expected) in &tests {
        let a = Decimal::from_str(value).unwrap();
        assert_eq!(&format!("{:e}", a), *expected, "format!(\"{{:e}}\", {})", a);
    }
}

#[test]
fn it_formats_lower_exp_padding() {
    let tests = [
        ("0.00001", "01e-5"),
        ("-0.00001", "-1e-5"),
        ("42.123", "4.2123e1"),
        ("-42.123", "-4.2123e1"),
        ("100", "001e2"),
    ];
    for (value, expected) in &tests {
        let a = Decimal::from_str(value).unwrap();
        assert_eq!(&format!("{:05e}", a), *expected, "format!(\"{{:05e}}\", {})", a);
    }
}

// Negation
#[test]
fn it_negates_decimals() {
    fn neg(a: &str, b: &str) {
        let a = Decimal::from_str(a).unwrap();
        let result = -a;
        assert_eq!(b, result.to_string(), "- {}", a.to_string());
    }

    let tests = &[
        ("1", "-1"),
        ("2", "-2"),
        ("2454495034", "-2454495034"),
        ("0.1", "-0.1"),
        ("11.815126050420168067226890757", "-11.815126050420168067226890757"),
    ];

    for &(a, b) in tests {
        neg(a, b);
        neg(b, a);
    }
}

// Addition

#[test]
fn it_can_add_simple() {
    // This is the most basic test for addition, intended largely for micro-optimization.
    let two = Decimal::ONE + Decimal::ONE;
    assert_eq!(two.to_u32(), Some(2));
}

#[test]
fn it_adds_decimals() {
    fn add(a: &str, b: &str, c: &str) {
        let a = Decimal::from_str(a).unwrap();
        let b = Decimal::from_str(b).unwrap();
        let result = a + b;
        assert_eq!(c, result.to_string(), "{} + {}", a.to_string(), b.to_string());
        let result = b + a;
        assert_eq!(c, result.to_string(), "{} + {}", b.to_string(), a.to_string());
    }

    let tests = &[
        ("0", "0", "0"),
        ("0", "-0", "0"),
        ("-0", "0", "0"),
        ("-0", "-0", "0"),
        ("2", "3", "5"),
        ("2454495034", "3451204593", "5905699627"),
        ("24544.95034", ".3451204593", "24545.2954604593"),
        (".1", ".1", "0.2"),
        (".10", ".1", "0.20"),
        (".1", "-.1", "0.0"),
        ("0", "1.001", "1.001"),
        ("2", "-3", "-1"),
        ("-2", "3", "1"),
        ("-2", "-3", "-5"),
        ("3", "-2", "1"),
        ("-3", "2", "-1"),
        ("1.234", "2.4567", "3.6907"),
        (
            "11.815126050420168067226890757",
            "0.6386554621848739495798319328",
            "12.453781512605042016806722690",
        ),
        (
            "-11.815126050420168067226890757",
            "0.6386554621848739495798319328",
            "-11.176470588235294117647058824",
        ),
        (
            "11.815126050420168067226890757",
            "-0.6386554621848739495798319328",
            "11.176470588235294117647058824",
        ),
        (
            "-11.815126050420168067226890757",
            "-0.6386554621848739495798319328",
            "-12.453781512605042016806722690",
        ),
        (
            "11815126050420168067226890757",
            "0.4386554621848739495798319328",
            "11815126050420168067226890757",
        ),
        (
            "-11815126050420168067226890757",
            "0.4386554621848739495798319328",
            "-11815126050420168067226890757",
        ),
        (
            "11815126050420168067226890757",
            "-0.4386554621848739495798319328",
            "11815126050420168067226890757",
        ),
        (
            "-11815126050420168067226890757",
            "-0.4386554621848739495798319328",
            "-11815126050420168067226890757",
        ),
        (
            "0.0872727272727272727272727272",
            "843.65000000",
            "843.7372727272727272727272727",
        ),
        (
            "7314.6229858868828353570724702",
            "1000",
            // Overflow causes this to round
            "8314.622985886882835357072470",
        ),
        (
            "108053.27500000000000000000000",
            "0.00000000000000000000000",
            "108053.27500000000000000000000",
        ),
        (
            "108053.27500000000000000000000",
            // This zero value has too high precision and will be trimmed
            "0.000000000000000000000000",
            "108053.27500000000000000000000",
        ),
        (
            "108053.27500000000000000000000",
            // This value has too high precision and will be rounded
            "0.000000000000000000000001",
            "108053.27500000000000000000000",
        ),
        (
            "108053.27500000000000000000000",
            // This value has too high precision and will be rounded
            "0.000000000000000000000005",
            either!("108053.27500000000000000000000", "108053.27500000000000000000001"),
        ),
        (
            "8097370036018690744.2590371109596744091",
            "3807285637671831400.15346897797550749555",
            "11904655673690522144.412506089",
        ),
    ];
    for &(a, b, c) in tests {
        add(a, b, c);
    }
}

#[test]
fn it_can_addassign() {
    let mut a = Decimal::from_str("1.01").unwrap();
    let b = Decimal::from_str("0.99").unwrap();
    a += b;
    assert_eq!("2.00", a.to_string());

    a += &b;
    assert_eq!("2.99", a.to_string());

    let mut c = &mut a;
    c += b;
    assert_eq!("3.98", a.to_string());

    let mut c = &mut a;
    c += &b;
    assert_eq!("4.97", a.to_string());
}

// Subtraction

#[test]
fn it_subtracts_decimals() {
    fn sub(a: &str, b: &str, c: &str) {
        let a = Decimal::from_str(a).unwrap();
        let b = Decimal::from_str(b).unwrap();
        let result = a - b;
        assert_eq!(c, result.to_string(), "{} - {}", a.to_string(), b.to_string());
    }

    let tests = &[
        ("0", "0", "0"),
        ("0", "-0", "0"),
        ("-0", "0", "0"),
        ("-0", "-0", "0"),
        ("2", "3", "-1"),
        ("3451204593", "2323322332", "1127882261"),
        ("24544.95034", ".3451204593", "24544.6052195407"),
        (".1", ".1", "0.0"),
        (".1", "-.1", "0.2"),
        ("1.001", "0", "1.001"),
        ("2", "-3", "5"),
        ("-2", "3", "-5"),
        ("-2", "-3", "1"),
        ("3", "-2", "5"),
        ("-3", "2", "-5"),
        ("1.234", "2.4567", "-1.2227"),
        ("844.13000000", "843.65000000", "0.48000000"),
        ("79228162514264337593543950335", "79228162514264337593543950335", "0"), // 0xFFFF_FFFF_FFFF_FFFF_FFF_FFFF - 0xFFFF_FFFF_FFFF_FFFF_FFF_FFFF
        ("79228162514264337593543950335", "0", "79228162514264337593543950335"),
        ("79228162514264337593543950335", "79228162514264337593543950333", "2"),
        ("4951760157141521099596496896", "1", "4951760157141521099596496895"), // 0x1000_0000_0000_0000_0000_0000 - 1 = 0x0FFF_FFFF_FFFF_FFFF_FFF_FFFF
        ("79228162514264337593543950334", "79228162514264337593543950335", "-1"),
        ("1", "4951760157141521099596496895", "-4951760157141521099596496894"),
        ("18446744073709551615", "-18446744073709551615", "36893488147419103230"), // 0xFFFF_FFFF_FFFF_FFFF - -0xFFFF_FFFF_FFFF_FFFF
    ];
    for &(a, b, c) in tests {
        sub(a, b, c);
    }
}

#[test]
fn it_can_subassign() {
    let mut a = Decimal::from_str("1.01").unwrap();
    let b = Decimal::from_str("0.51").unwrap();
    a -= b;
    assert_eq!("0.50", a.to_string());

    a -= &b;
    assert_eq!("-0.01", a.to_string());

    let mut c = &mut a;
    c -= b;
    assert_eq!("-0.52", a.to_string());

    let mut c = &mut a;
    c -= &b;
    assert_eq!("-1.03", a.to_string());
}

// Multiplication

#[test]
fn it_multiplies_decimals() {
    fn mul(a: &str, b: &str, c: &str) {
        let a = Decimal::from_str(a).unwrap();
        let b = Decimal::from_str(b).unwrap();
        let result = a * b;
        assert_eq!(c, result.to_string(), "{} * {}", a.to_string(), b.to_string());
        let result = b * a;
        assert_eq!(c, result.to_string(), "{} * {}", b.to_string(), a.to_string());
    }

    let tests = &[
        ("2", "3", "6"),
        ("2454495034", "3451204593", "8470964534836491162"),
        ("24544.95034", ".3451204593", "8470.964534836491162"),
        (".1", ".1", "0.01"),
        ("0", "1.001", "0"),
        ("2", "-3", "-6"),
        ("-2", "3", "-6"),
        ("-2", "-3", "6"),
        ("1", "2.01", "2.01"),
        ("1.0", "2.01", "2.010"), // Scale is always additive
        (
            "0.00000000000000001",
            "0.00000000000000001",
            "0.0000000000000000000000000000",
        ),
        ("0.0000000000000000000000000001", "0.0000000000000000000000000001", "0"),
        (
            "0.6386554621848739495798319328",
            "11.815126050420168067226890757",
            "7.5457947885036367488171739292",
        ),
        (
            "2123456789012345678901234567.8",
            "11.815126050420168067226890757",
            "25088909624801327937270048761",
        ),
        (
            "2123456789012345678901234567.8",
            "-11.815126050420168067226890757",
            "-25088909624801327937270048761",
        ),
        (
            "2.1234567890123456789012345678",
            "2.1234567890123456789012345678",
            "4.5090687348026215523554336227",
        ),
        (
            "0.48000000",
            "0.1818181818181818181818181818",
            either!("0.0872727272727272727272727273", "0.0872727272727272727272727272"),
        ),
    ];
    for &(a, b, c) in tests {
        mul(a, b, c);
    }
}

#[test]
#[should_panic(expected = "Multiplication overflowed")]
fn it_panics_when_multiply_with_overflow() {
    let a = Decimal::from_str("2000000000000000000001").unwrap();
    let b = Decimal::from_str("3000000000000000000001").unwrap();
    let _ = a * b;
}

#[test]
fn it_can_mulassign() {
    let mut a = Decimal::from_str("1.25").unwrap();
    let b = Decimal::from_str("0.01").unwrap();

    a *= b;
    assert_eq!("0.0125", a.to_string());

    a *= &b;
    assert_eq!("0.000125", a.to_string());

    let mut c = &mut a;
    c *= b;
    assert_eq!("0.00000125", a.to_string());

    let mut c = &mut a;
    c *= &b;
    assert_eq!("0.0000000125", a.to_string());
}

// Division

#[test]
fn it_divides_decimals() {
    fn div(a: &str, b: &str, c: &str) {
        let a = Decimal::from_str(a).unwrap();
        let b = Decimal::from_str(b).unwrap();
        let result = a / b;
        assert_eq!(c, result.to_string(), "{} / {}", a.to_string(), b.to_string());
    }

    let tests = &[
        ("6", "3", "2"),
        ("10", "2", "5"),
        ("2.2", "1.1", "2"),
        ("-2.2", "-1.1", "2"),
        ("12.88", "5.6", "2.3"),
        (
            "1023427554493",
            "43432632",
            either!("23563.562864276795382789603909", "23563.562864276795382789603908"),
        ),
        ("10000", "3", "3333.3333333333333333333333333"),
        ("2", "3", "0.6666666666666666666666666667"),
        ("1", "3", "0.3333333333333333333333333333"),
        ("-2", "3", "-0.6666666666666666666666666667"),
        ("2", "-3", "-0.6666666666666666666666666667"),
        ("-2", "-3", "0.6666666666666666666666666667"),
        (
            "1234.5678",
            "0.1234567890123456",
            either!("9999.99926999999982999953127", "9999.999269999999829999531269"),
        ),
        ("1234.567890123456789012345678", "1.234567890123456789012345678", "1000"),
        (
            "32.91625929004387114334488",
            "3.27629537",
            either!("10.046792359274942644546996384", "10.046792359274942644546996383"),
        ),
        ("5000", "1000.26957490549", "4.9986524887277738570721416846"),
        ("6142.6941216127122745222131114", "2", "3071.3470608063561372611065557"),
        (
            "3071.3470608063561372611065557",
            "1228.87000756",
            either!("2.4993262443638869285360708423", "2.4993262443638869285360708422"),
        ),
        (
            "590.3274854004009467754255123",
            "53.68997202826239",
            "10.995116277759516850521689988",
        ),
    ];
    for &(a, b, c) in tests {
        div(a, b, c);
    }
}

#[test]
#[should_panic(expected = "Division by zero")]
fn it_can_divide_by_zero() {
    let a = Decimal::from_str("2").unwrap();
    let _ = a / Decimal::ZERO;
}

#[test]
fn it_can_divassign() {
    let mut a = Decimal::from_str("1.25").unwrap();
    let b = Decimal::from_str("0.01").unwrap();

    a /= b;
    assert_eq!("125", a.to_string());

    a /= &b;
    assert_eq!("12500", a.to_string());

    let mut c = &mut a;
    c /= b;
    assert_eq!("1250000", a.to_string());

    let mut c = &mut a;
    c /= &b;
    assert_eq!("125000000", a.to_string());
}

// Modulus and Remainder are not the same thing!
// https://math.stackexchange.com/q/801962/82277

#[test]
fn it_rems_decimals() {
    fn rem(a: &str, b: &str, c: &str) {
        let a = Decimal::from_str(a).unwrap();
        let b = Decimal::from_str(b).unwrap();
        // a = qb + r
        let result = a % b;
        assert_eq!(c, result.to_string(), "{} % {}", a.to_string(), b.to_string());
    }

    let tests = &[
        ("2", "3", "2"),
        ("-2", "3", "-2"),
        ("2", "-3", "2"),
        ("-2", "-3", "-2"),
        ("6", "3", "0"),
        ("42.2", "11.9", "6.5"),
        ("2.1", "3", "2.1"),
        ("2", "3.1", "2"),
        ("2.0", "3.1", "2.0"),
        ("4", "3.1", "0.9"),
        ("2", "2", "0"),
        ("2", "-2", "0"),
        // Legacy keeps sign from lhs operand
        ("-2", "2", "0"),
        ("-2", "-2", "0"),
    ];
    for &(a, b, c) in tests {
        rem(a, b, c);
    }
}

#[test]
fn it_can_remassign() {
    let mut a = Decimal::from_str("5").unwrap();
    let b = Decimal::from_str("2").unwrap();

    a %= b;
    assert_eq!("1", a.to_string());

    a %= &b;
    assert_eq!("1", a.to_string());

    let mut c = &mut a;
    c %= b;
    assert_eq!("1", a.to_string());

    let mut c = &mut a;
    c %= &b;
    assert_eq!("1", a.to_string());
}

#[test]
fn it_eqs_decimals() {
    fn eq(a: &str, b: &str, c: bool) {
        let a = Decimal::from_str(a).unwrap();
        let b = Decimal::from_str(b).unwrap();
        assert_eq!(c, a.eq(&b), "{} == {}", a.to_string(), b.to_string());
        assert_eq!(c, b.eq(&a), "{} == {}", b.to_string(), a.to_string());
    }

    let tests = &[
        ("1", "1", true),
        ("1", "-1", false),
        ("1", "1.00", true),
        ("1.2345000000000", "1.2345", true),
        ("1.0000000000000000000000000000", "1.0000000000000000000000000000", true),
        (
            "1.0000000000000000000000000001",
            "1.0000000000000000000000000000",
            false,
        ),
    ];
    for &(a, b, c) in tests {
        eq(a, b, c);
    }
}

#[test]
fn it_cmps_decimals() {
    fn cmp(a: &str, b: &str, c: core::cmp::Ordering) {
        let a = Decimal::from_str(a).unwrap();
        let b = Decimal::from_str(b).unwrap();
        assert_eq!(
            c,
            a.cmp(&b),
            "{} {} {}",
            a.to_string(),
            match c {
                Less => "<",
                Equal => "==",
                Greater => ">",
            },
            b.to_string()
        );
    }

    let tests = &[
        ("1", "1", Equal),
        ("1", "-1", Greater),
        ("1", "1.00", Equal),
        ("1.2345000000000", "1.2345", Equal),
        (
            "1.0000000000000000000000000001",
            "1.0000000000000000000000000000",
            Greater,
        ),
        ("1.0000000000000000000000000000", "1.0000000000000000000000000001", Less),
        ("-1", "100", Less),
        ("-100", "1", Less),
        ("0", "0.5", Less),
        ("0.5", "0", Greater),
        ("100", "0.0098", Greater),
        ("1000000000000000", "999000000000000.0001", Greater),
        ("2.0001", "2.0001", Equal),
        (
            "11.815126050420168067226890757",
            "0.6386554621848739495798319328",
            Greater,
        ),
        ("0.6386554621848739495798319328", "11.815126050420168067226890757", Less),
        ("-0.5", "-0.01", Less),
        ("-0.5", "-0.1", Less),
        ("-0.01", "-0.5", Greater),
        ("-0.1", "-0.5", Greater),
        // 000 equality
        ("0.00000000", "0.00000000", Equal),
        // 000 000 same scale
        ("0.00000000", "0.00000000", Equal),
        ("-0.00000000", "0.00000000", Equal),
        ("0.00000000", "-0.00000000", Equal),
        ("-0.00000000", "-0.00000000", Equal),
        // 000 000 different scale
        ("0.000000000", "0.00000000000000000000000", Equal),
        ("-0.000000000", "0.00000000000000000000000", Equal),
        ("0.000000000", "-0.00000000000000000000000", Equal),
        ("-0.000000000", "-0.00000000000000000000000", Equal),
        // 000 100 same scale
        ("0.00000000", "6.56792910", Less),
        ("-0.00000000", "6.56792910", Less),
        ("0.00000000", "-6.56792910", Greater),
        ("-0.00000000", "-6.56792910", Greater),
        // 000 100 different scale
        ("0.0000000000000000000", "0.00000000000000001916236746", Less),
        ("-0.0000000000000000000", "0.00000000000000001916236746", Less),
        ("0.0000000000000000000", "-0.00000000000000001916236746", Greater),
        ("-0.0000000000000000000", "-0.00000000000000001916236746", Greater),
        // 000 010 same scale
        ("0.00000000", "49037796231.72571136", Less),
        ("-0.00000000", "49037796231.72571136", Less),
        ("0.00000000", "-49037796231.72571136", Greater),
        ("-0.00000000", "-49037796231.72571136", Greater),
        // 000 010 different scale
        ("0", "14459264155.12895488", Less),
        ("-0", "14459264155.12895488", Less),
        ("0", "-14459264155.12895488", Greater),
        ("-0", "-14459264155.12895488", Greater),
        // 000 110 same scale
        ("0.00000000", "38675108055.09052783", Less),
        ("-0.00000000", "38675108055.09052783", Less),
        ("0.00000000", "-38675108055.09052783", Greater),
        ("-0.00000000", "-38675108055.09052783", Greater),
        // 000 110 different scale
        ("0.00", "1495767034080324868", Less),
        ("-0.00", "1495767034080324868", Less),
        ("0.00", "-1495767034080324868", Greater),
        ("-0.00", "-1495767034080324868", Greater),
        // 000 001 same scale
        ("0.00000000", "359299289270893106016.81305600", Less),
        ("-0.00000000", "359299289270893106016.81305600", Less),
        ("0.00000000", "-359299289270893106016.81305600", Greater),
        ("-0.00000000", "-359299289270893106016.81305600", Greater),
        // 000 001 different scale
        ("0.00000000000000000000000000", "261631091689.9518486763536384", Less),
        ("-0.00000000000000000000000000", "261631091689.9518486763536384", Less),
        (
            "0.00000000000000000000000000",
            "-261631091689.9518486763536384",
            Greater,
        ),
        (
            "-0.00000000000000000000000000",
            "-261631091689.9518486763536384",
            Greater,
        ),
        // 000 101 same scale
        ("0.00000000", "184137107696737410476.63166815", Less),
        ("-0.00000000", "184137107696737410476.63166815", Less),
        ("0.00000000", "-184137107696737410476.63166815", Greater),
        ("-0.00000000", "-184137107696737410476.63166815", Greater),
        // 000 101 different scale
        ("0.000000000", "2286857871088.7514840434334478", Less),
        ("-0.000000000", "2286857871088.7514840434334478", Less),
        ("0.000000000", "-2286857871088.7514840434334478", Greater),
        ("-0.000000000", "-2286857871088.7514840434334478", Greater),
        // 000 011 same scale
        ("0.00000000", "169194696640288819908.07715840", Less),
        ("-0.00000000", "169194696640288819908.07715840", Less),
        ("0.00000000", "-169194696640288819908.07715840", Greater),
        ("-0.00000000", "-169194696640288819908.07715840", Greater),
        // 000 011 different scale
        ("0.00000000", "2757550691.7650076909569048576", Less),
        ("-0.00000000", "2757550691.7650076909569048576", Less),
        ("0.00000000", "-2757550691.7650076909569048576", Greater),
        ("-0.00000000", "-2757550691.7650076909569048576", Greater),
        // 000 111 same scale
        ("0.00000000", "133610725292915899001.10059212", Less),
        ("-0.00000000", "133610725292915899001.10059212", Less),
        ("0.00000000", "-133610725292915899001.10059212", Greater),
        ("-0.00000000", "-133610725292915899001.10059212", Greater),
        // 000 111 different scale
        ("0.00000000000000000000", "86.25432767926620368822165265", Less),
        ("-0.00000000000000000000", "86.25432767926620368822165265", Less),
        ("0.00000000000000000000", "-86.25432767926620368822165265", Greater),
        ("-0.00000000000000000000", "-86.25432767926620368822165265", Greater),
        // 100 equality
        ("0.0000000000598992228", "0.0000000000598992228", Equal),
        // 100 000 same scale
        ("0.0000000000598992228", "0.0000000000000000000", Greater),
        ("-0.0000000000598992228", "0.0000000000000000000", Less),
        ("0.0000000000598992228", "-0.0000000000000000000", Greater),
        ("-0.0000000000598992228", "-0.0000000000000000000", Less),
        // 100 000 different scale
        ("0.1797407597", "0.0000000000000000000", Greater),
        ("-0.1797407597", "0.0000000000000000000", Less),
        ("0.1797407597", "-0.0000000000000000000", Greater),
        ("-0.1797407597", "-0.0000000000000000000", Less),
        // 100 100 same scale
        ("0.0000000000598992228", "0.0000000000064510789", Greater),
        ("-0.0000000000598992228", "0.0000000000064510789", Less),
        ("0.0000000000598992228", "-0.0000000000064510789", Greater),
        ("-0.0000000000598992228", "-0.0000000000064510789", Less),
        // 100 100 different scale
        ("0.000000000000011217354", "0.0000000000217735186", Less),
        ("-0.000000000000011217354", "0.0000000000217735186", Less),
        ("0.000000000000011217354", "-0.0000000000217735186", Greater),
        ("-0.000000000000011217354", "-0.0000000000217735186", Greater),
        // 100 010 same scale
        ("0.0000000000598992228", "0.0659116848159129600", Less),
        ("-0.0000000000598992228", "0.0659116848159129600", Less),
        ("0.0000000000598992228", "-0.0659116848159129600", Greater),
        ("-0.0000000000598992228", "-0.0659116848159129600", Greater),
        // 100 010 different scale
        ("0.00042035421", "0.004709460588143575040", Less),
        ("-0.00042035421", "0.004709460588143575040", Less),
        ("0.00042035421", "-0.004709460588143575040", Greater),
        ("-0.00042035421", "-0.004709460588143575040", Greater),
        // 100 110 same scale
        ("0.0000000000598992228", "0.0755686585127091375", Less),
        ("-0.0000000000598992228", "0.0755686585127091375", Less),
        ("0.0000000000598992228", "-0.0755686585127091375", Greater),
        ("-0.0000000000598992228", "-0.0755686585127091375", Greater),
        // 100 110 different scale
        ("14872.94465", "1284707831905.854085", Less),
        ("-14872.94465", "1284707831905.854085", Less),
        ("14872.94465", "-1284707831905.854085", Greater),
        ("-14872.94465", "-1284707831905.854085", Greater),
        // 100 001 same scale
        ("0.0000000000598992228", "888767595.6145376468836286464", Less),
        ("-0.0000000000598992228", "888767595.6145376468836286464", Less),
        ("0.0000000000598992228", "-888767595.6145376468836286464", Greater),
        ("-0.0000000000598992228", "-888767595.6145376468836286464", Greater),
        // 100 001 different scale
        ("0.0002108155975", "36.07555527243968476014968832", Less),
        ("-0.0002108155975", "36.07555527243968476014968832", Less),
        ("0.0002108155975", "-36.07555527243968476014968832", Greater),
        ("-0.0002108155975", "-36.07555527243968476014968832", Greater),
        // 100 101 same scale
        ("0.0000000000598992228", "125730345.7412344676309569911", Less),
        ("-0.0000000000598992228", "125730345.7412344676309569911", Less),
        ("0.0000000000598992228", "-125730345.7412344676309569911", Greater),
        ("-0.0000000000598992228", "-125730345.7412344676309569911", Greater),
        // 100 101 different scale
        ("0.0000000000871576741", "1.7283925558865766140690239662", Less),
        ("-0.0000000000871576741", "1.7283925558865766140690239662", Less),
        ("0.0000000000871576741", "-1.7283925558865766140690239662", Greater),
        ("-0.0000000000871576741", "-1.7283925558865766140690239662", Greater),
        // 100 011 same scale
        ("0.0000000000598992228", "645513262.9193254090737451008", Less),
        ("-0.0000000000598992228", "645513262.9193254090737451008", Less),
        ("0.0000000000598992228", "-645513262.9193254090737451008", Greater),
        ("-0.0000000000598992228", "-645513262.9193254090737451008", Greater),
        // 100 011 different scale
        ("0.000000000000000760885021", "3718370638.2004059326675681280", Less),
        ("-0.000000000000000760885021", "3718370638.2004059326675681280", Less),
        ("0.000000000000000760885021", "-3718370638.2004059326675681280", Greater),
        (
            "-0.000000000000000760885021",
            "-3718370638.2004059326675681280",
            Greater,
        ),
        // 100 111 same scale
        ("0.0000000000598992228", "422482675.5515775479939306437", Less),
        ("-0.0000000000598992228", "422482675.5515775479939306437", Less),
        ("0.0000000000598992228", "-422482675.5515775479939306437", Greater),
        ("-0.0000000000598992228", "-422482675.5515775479939306437", Greater),
        // 100 111 different scale
        ("0.000000044182898", "25.452953262109919998605674045", Less),
        ("-0.000000044182898", "25.452953262109919998605674045", Less),
        ("0.000000044182898", "-25.452953262109919998605674045", Greater),
        ("-0.000000044182898", "-25.452953262109919998605674045", Greater),
        // 010 equality
        ("423.1744746042687488", "423.1744746042687488", Equal),
        // 010 000 same scale
        ("423.1744746042687488", "0.0000000000000000", Greater),
        ("-423.1744746042687488", "0.0000000000000000", Less),
        ("423.1744746042687488", "-0.0000000000000000", Greater),
        ("-423.1744746042687488", "-0.0000000000000000", Less),
        // 010 000 different scale
        ("9002354991.192604672", "0.00000000000000000000000000", Greater),
        ("-9002354991.192604672", "0.00000000000000000000000000", Less),
        ("9002354991.192604672", "-0.00000000000000000000000000", Greater),
        ("-9002354991.192604672", "-0.00000000000000000000000000", Less),
        // 010 100 same scale
        ("423.1744746042687488", "0.0000000981820809", Greater),
        ("-423.1744746042687488", "0.0000000981820809", Less),
        ("423.1744746042687488", "-0.0000000981820809", Greater),
        ("-423.1744746042687488", "-0.0000000981820809", Less),
        // 010 100 different scale
        ("4327019125101559.808", "0.00484846050", Greater),
        ("-4327019125101559.808", "0.00484846050", Less),
        ("4327019125101559.808", "-0.00484846050", Greater),
        ("-4327019125101559.808", "-0.00484846050", Less),
        // 010 010 same scale
        ("423.1744746042687488", "786.9082854590775296", Less),
        ("-423.1744746042687488", "786.9082854590775296", Less),
        ("423.1744746042687488", "-786.9082854590775296", Greater),
        ("-423.1744746042687488", "-786.9082854590775296", Greater),
        // 010 010 different scale
        ("793.0067125291450368", "0.0001587297248335626240", Greater),
        ("-793.0067125291450368", "0.0001587297248335626240", Less),
        ("793.0067125291450368", "-0.0001587297248335626240", Greater),
        ("-793.0067125291450368", "-0.0001587297248335626240", Less),
        // 010 110 same scale
        ("423.1744746042687488", "300.0541360230572049", Greater),
        ("-423.1744746042687488", "300.0541360230572049", Less),
        ("423.1744746042687488", "-300.0541360230572049", Greater),
        ("-423.1744746042687488", "-300.0541360230572049", Less),
        // 010 110 different scale
        ("90627.2042582540288", "4472414566654924.741", Less),
        ("-90627.2042582540288", "4472414566654924.741", Less),
        ("90627.2042582540288", "-4472414566654924.741", Greater),
        ("-90627.2042582540288", "-4472414566654924.741", Greater),
        // 010 001 same scale
        ("423.1744746042687488", "3960577151543.5796707636412416", Less),
        ("-423.1744746042687488", "3960577151543.5796707636412416", Less),
        ("423.1744746042687488", "-3960577151543.5796707636412416", Greater),
        ("-423.1744746042687488", "-3960577151543.5796707636412416", Greater),
        // 010 001 different scale
        ("0.000008867461591822499840", "185286.04378228713249986052096", Less),
        ("-0.000008867461591822499840", "185286.04378228713249986052096", Less),
        ("0.000008867461591822499840", "-185286.04378228713249986052096", Greater),
        (
            "-0.000008867461591822499840",
            "-185286.04378228713249986052096",
            Greater,
        ),
        // 010 101 same scale
        ("423.1744746042687488", "2825958416017.6213507229869501", Less),
        ("-423.1744746042687488", "2825958416017.6213507229869501", Less),
        ("423.1744746042687488", "-2825958416017.6213507229869501", Greater),
        ("-423.1744746042687488", "-2825958416017.6213507229869501", Greater),
        // 010 101 different scale
        ("0.01901870767742648320", "37662082383021542232.529651212", Less),
        ("-0.01901870767742648320", "37662082383021542232.529651212", Less),
        ("0.01901870767742648320", "-37662082383021542232.529651212", Greater),
        ("-0.01901870767742648320", "-37662082383021542232.529651212", Greater),
        // 010 011 same scale
        ("423.1744746042687488", "3628063966991.6759417059016704", Less),
        ("-423.1744746042687488", "3628063966991.6759417059016704", Less),
        ("423.1744746042687488", "-3628063966991.6759417059016704", Greater),
        ("-423.1744746042687488", "-3628063966991.6759417059016704", Greater),
        // 010 011 different scale
        ("45359904.32470925312", "2.4203452488052342918570049536", Greater),
        ("-45359904.32470925312", "2.4203452488052342918570049536", Less),
        ("45359904.32470925312", "-2.4203452488052342918570049536", Greater),
        ("-45359904.32470925312", "-2.4203452488052342918570049536", Less),
        // 010 111 same scale
        ("423.1744746042687488", "2629665172331.9610693820109120", Less),
        ("-423.1744746042687488", "2629665172331.9610693820109120", Less),
        ("423.1744746042687488", "-2629665172331.9610693820109120", Greater),
        ("-423.1744746042687488", "-2629665172331.9610693820109120", Greater),
        // 010 111 different scale
        ("0.0006420803252266205184", "8172.032417576265900588945489", Less),
        ("-0.0006420803252266205184", "8172.032417576265900588945489", Less),
        ("0.0006420803252266205184", "-8172.032417576265900588945489", Greater),
        ("-0.0006420803252266205184", "-8172.032417576265900588945489", Greater),
        // 110 equality
        ("844.5530620517286511", "844.5530620517286511", Equal),
        // 110 000 same scale
        ("844.5530620517286511", "0.0000000000000000", Greater),
        ("-844.5530620517286511", "0.0000000000000000", Less),
        ("844.5530620517286511", "-0.0000000000000000", Greater),
        ("-844.5530620517286511", "-0.0000000000000000", Less),
        // 110 000 different scale
        ("3285.530033386074797", "0.00000000000000000000", Greater),
        ("-3285.530033386074797", "0.00000000000000000000", Less),
        ("3285.530033386074797", "-0.00000000000000000000", Greater),
        ("-3285.530033386074797", "-0.00000000000000000000", Less),
        // 110 100 same scale
        ("844.5530620517286511", "0.0000001953470063", Greater),
        ("-844.5530620517286511", "0.0000001953470063", Less),
        ("844.5530620517286511", "-0.0000001953470063", Greater),
        ("-844.5530620517286511", "-0.0000001953470063", Less),
        // 110 100 different scale
        ("371284.0210972493371", "0.000000000000001307794657", Greater),
        ("-371284.0210972493371", "0.000000000000001307794657", Less),
        ("371284.0210972493371", "-0.000000000000001307794657", Greater),
        ("-371284.0210972493371", "-0.000000000000001307794657", Less),
        // 110 010 same scale
        ("844.5530620517286511", "612.1542773033140224", Greater),
        ("-844.5530620517286511", "612.1542773033140224", Less),
        ("844.5530620517286511", "-612.1542773033140224", Greater),
        ("-844.5530620517286511", "-612.1542773033140224", Less),
        // 110 010 different scale
        ("0.00004869219159821525572", "23341676485159.15776", Less),
        ("-0.00004869219159821525572", "23341676485159.15776", Less),
        ("0.00004869219159821525572", "-23341676485159.15776", Greater),
        ("-0.00004869219159821525572", "-23341676485159.15776", Greater),
        // 110 110 same scale
        ("844.5530620517286511", "326.6132818317622015", Greater),
        ("-844.5530620517286511", "326.6132818317622015", Less),
        ("844.5530620517286511", "-326.6132818317622015", Greater),
        ("-844.5530620517286511", "-326.6132818317622015", Less),
        // 110 110 different scale
        ("4752139369958.820619", "1330851022882027.972", Less),
        ("-4752139369958.820619", "1330851022882027.972", Less),
        ("4752139369958.820619", "-1330851022882027.972", Greater),
        ("-4752139369958.820619", "-1330851022882027.972", Greater),
        // 110 001 same scale
        ("844.5530620517286511", "3585610241942.1922435648192512", Less),
        ("-844.5530620517286511", "3585610241942.1922435648192512", Less),
        ("844.5530620517286511", "-3585610241942.1922435648192512", Greater),
        ("-844.5530620517286511", "-3585610241942.1922435648192512", Greater),
        // 110 001 different scale
        ("539313715923.4424678", "12410950080603997079634706432", Less),
        ("-539313715923.4424678", "12410950080603997079634706432", Less),
        ("539313715923.4424678", "-12410950080603997079634706432", Greater),
        ("-539313715923.4424678", "-12410950080603997079634706432", Greater),
        // 110 101 same scale
        ("844.5530620517286511", "1947825396031.6933708908343230", Less),
        ("-844.5530620517286511", "1947825396031.6933708908343230", Less),
        ("844.5530620517286511", "-1947825396031.6933708908343230", Greater),
        ("-844.5530620517286511", "-1947825396031.6933708908343230", Greater),
        // 110 101 different scale
        ("0.2301405445512525317", "245433629587.71206426704897154", Less),
        ("-0.2301405445512525317", "245433629587.71206426704897154", Less),
        ("0.2301405445512525317", "-245433629587.71206426704897154", Greater),
        ("-0.2301405445512525317", "-245433629587.71206426704897154", Greater),
        // 110 011 same scale
        ("844.5530620517286511", "3637850451015.0843464291450880", Less),
        ("-844.5530620517286511", "3637850451015.0843464291450880", Less),
        ("844.5530620517286511", "-3637850451015.0843464291450880", Greater),
        ("-844.5530620517286511", "-3637850451015.0843464291450880", Greater),
        // 110 011 different scale
        ("0.00000000717944802566514691", "18143443615.480512395717115904", Less),
        ("-0.00000000717944802566514691", "18143443615.480512395717115904", Less),
        (
            "0.00000000717944802566514691",
            "-18143443615.480512395717115904",
            Greater,
        ),
        (
            "-0.00000000717944802566514691",
            "-18143443615.480512395717115904",
            Greater,
        ),
        // 110 111 same scale
        ("844.5530620517286511", "2738424264600.4917875777303163", Less),
        ("-844.5530620517286511", "2738424264600.4917875777303163", Less),
        ("844.5530620517286511", "-2738424264600.4917875777303163", Greater),
        ("-844.5530620517286511", "-2738424264600.4917875777303163", Greater),
        // 110 111 different scale
        ("0.0000000007762706076409491335", "2489879185787497651.6458518595", Less),
        (
            "-0.0000000007762706076409491335",
            "2489879185787497651.6458518595",
            Less,
        ),
        (
            "0.0000000007762706076409491335",
            "-2489879185787497651.6458518595",
            Greater,
        ),
        (
            "-0.0000000007762706076409491335",
            "-2489879185787497651.6458518595",
            Greater,
        ),
        // 001 equality
        ("316007568232.9263258873102336", "316007568232.9263258873102336", Equal),
        // 001 000 same scale
        ("316007568232.9263258873102336", "0.0000000000000000", Greater),
        ("-316007568232.9263258873102336", "0.0000000000000000", Less),
        ("316007568232.9263258873102336", "-0.0000000000000000", Greater),
        ("-316007568232.9263258873102336", "-0.0000000000000000", Less),
        // 001 000 different scale
        ("3522055990024364385815547084.8", "0.000000000000", Greater),
        ("-3522055990024364385815547084.8", "0.000000000000", Less),
        ("3522055990024364385815547084.8", "-0.000000000000", Greater),
        ("-3522055990024364385815547084.8", "-0.000000000000", Less),
        // 001 100 same scale
        ("316007568232.9263258873102336", "0.0000001073412971", Greater),
        ("-316007568232.9263258873102336", "0.0000001073412971", Less),
        ("316007568232.9263258873102336", "-0.0000001073412971", Greater),
        ("-316007568232.9263258873102336", "-0.0000001073412971", Less),
        // 001 100 different scale
        ("1319006.0491408208640440532992", "0.00000000000000611866432", Greater),
        ("-1319006.0491408208640440532992", "0.00000000000000611866432", Less),
        ("1319006.0491408208640440532992", "-0.00000000000000611866432", Greater),
        ("-1319006.0491408208640440532992", "-0.00000000000000611866432", Less),
        // 001 010 same scale
        ("316007568232.9263258873102336", "159.1054215143227392", Greater),
        ("-316007568232.9263258873102336", "159.1054215143227392", Less),
        ("316007568232.9263258873102336", "-159.1054215143227392", Greater),
        ("-316007568232.9263258873102336", "-159.1054215143227392", Less),
        // 001 010 different scale
        ("2470144.7146711063666704252928", "211.0186916505714688", Greater),
        ("-2470144.7146711063666704252928", "211.0186916505714688", Less),
        ("2470144.7146711063666704252928", "-211.0186916505714688", Greater),
        ("-2470144.7146711063666704252928", "-211.0186916505714688", Less),
        // 001 110 same scale
        ("316007568232.9263258873102336", "15.1186658969096112", Greater),
        ("-316007568232.9263258873102336", "15.1186658969096112", Less),
        ("316007568232.9263258873102336", "-15.1186658969096112", Greater),
        ("-316007568232.9263258873102336", "-15.1186658969096112", Less),
        // 001 110 different scale
        ("3840504199004148630832.3360768", "7581138850996748864", Greater),
        ("-3840504199004148630832.3360768", "7581138850996748864", Less),
        ("3840504199004148630832.3360768", "-7581138850996748864", Greater),
        ("-3840504199004148630832.3360768", "-7581138850996748864", Less),
        // 001 001 same scale
        ("316007568232.9263258873102336", "810157633226.6053390856880128", Less),
        ("-316007568232.9263258873102336", "810157633226.6053390856880128", Less),
        (
            "316007568232.9263258873102336",
            "-810157633226.6053390856880128",
            Greater,
        ),
        (
            "-316007568232.9263258873102336",
            "-810157633226.6053390856880128",
            Greater,
        ),
        // 001 001 different scale
        ("1951046382014.4037956952260608", "3626102772868740412010083.1232", Less),
        (
            "-1951046382014.4037956952260608",
            "3626102772868740412010083.1232",
            Less,
        ),
        (
            "1951046382014.4037956952260608",
            "-3626102772868740412010083.1232",
            Greater,
        ),
        (
            "-1951046382014.4037956952260608",
            "-3626102772868740412010083.1232",
            Greater,
        ),
        // 001 101 same scale
        ("316007568232.9263258873102336", "3258394380359.1965879291312453", Less),
        ("-316007568232.9263258873102336", "3258394380359.1965879291312453", Less),
        (
            "316007568232.9263258873102336",
            "-3258394380359.1965879291312453",
            Greater,
        ),
        (
            "-316007568232.9263258873102336",
            "-3258394380359.1965879291312453",
            Greater,
        ),
        // 001 101 different scale
        (
            "17580513970289834.943527780352",
            "3.7977957031395371036126086595",
            Greater,
        ),
        (
            "-17580513970289834.943527780352",
            "3.7977957031395371036126086595",
            Less,
        ),
        (
            "17580513970289834.943527780352",
            "-3.7977957031395371036126086595",
            Greater,
        ),
        (
            "-17580513970289834.943527780352",
            "-3.7977957031395371036126086595",
            Less,
        ),
        // 001 011 same scale
        ("316007568232.9263258873102336", "1154574080460.9867510617997312", Less),
        ("-316007568232.9263258873102336", "1154574080460.9867510617997312", Less),
        (
            "316007568232.9263258873102336",
            "-1154574080460.9867510617997312",
            Greater,
        ),
        (
            "-316007568232.9263258873102336",
            "-1154574080460.9867510617997312",
            Greater,
        ),
        // 001 011 different scale
        ("2008379587.5525351789031325696", "32824109460554.341800487157760", Less),
        (
            "-2008379587.5525351789031325696",
            "32824109460554.341800487157760",
            Less,
        ),
        (
            "2008379587.5525351789031325696",
            "-32824109460554.341800487157760",
            Greater,
        ),
        (
            "-2008379587.5525351789031325696",
            "-32824109460554.341800487157760",
            Greater,
        ),
        // 001 111 same scale
        ("316007568232.9263258873102336", "2816795479724.6069787794805311", Less),
        ("-316007568232.9263258873102336", "2816795479724.6069787794805311", Less),
        (
            "316007568232.9263258873102336",
            "-2816795479724.6069787794805311",
            Greater,
        ),
        (
            "-316007568232.9263258873102336",
            "-2816795479724.6069787794805311",
            Greater,
        ),
        // 001 111 different scale
        (
            "3536806574745420013541890.4576",
            "9793146.81730411145833529126",
            Greater,
        ),
        ("-3536806574745420013541890.4576", "9793146.81730411145833529126", Less),
        (
            "3536806574745420013541890.4576",
            "-9793146.81730411145833529126",
            Greater,
        ),
        ("-3536806574745420013541890.4576", "-9793146.81730411145833529126", Less),
        // 101 equality
        (
            "254208186622762823842.71629992",
            "254208186622762823842.71629992",
            Equal,
        ),
        // 101 000 same scale
        ("254208186622762823842.71629992", "0.00000000", Greater),
        ("-254208186622762823842.71629992", "0.00000000", Less),
        ("254208186622762823842.71629992", "-0.00000000", Greater),
        ("-254208186622762823842.71629992", "-0.00000000", Less),
        // 101 000 different scale
        ("975421950664039.3614304091804", "0.0000000000000000", Greater),
        ("-975421950664039.3614304091804", "0.0000000000000000", Less),
        ("975421950664039.3614304091804", "-0.0000000000000000", Greater),
        ("-975421950664039.3614304091804", "-0.0000000000000000", Less),
        // 101 100 same scale
        ("254208186622762823842.71629992", "10.74141379", Greater),
        ("-254208186622762823842.71629992", "10.74141379", Less),
        ("254208186622762823842.71629992", "-10.74141379", Greater),
        ("-254208186622762823842.71629992", "-10.74141379", Less),
        // 101 100 different scale
        ("2552221405032275.8358630506229", "0.000000000000000592656995", Greater),
        ("-2552221405032275.8358630506229", "0.000000000000000592656995", Less),
        ("2552221405032275.8358630506229", "-0.000000000000000592656995", Greater),
        ("-2552221405032275.8358630506229", "-0.000000000000000592656995", Less),
        // 101 010 same scale
        ("254208186622762823842.71629992", "62767493748.48499712", Greater),
        ("-254208186622762823842.71629992", "62767493748.48499712", Less),
        ("254208186622762823842.71629992", "-62767493748.48499712", Greater),
        ("-254208186622762823842.71629992", "-62767493748.48499712", Less),
        // 101 010 different scale
        ("197346074219.25327589999174264", "0.7623493575178715136", Greater),
        ("-197346074219.25327589999174264", "0.7623493575178715136", Less),
        ("197346074219.25327589999174264", "-0.7623493575178715136", Greater),
        ("-197346074219.25327589999174264", "-0.7623493575178715136", Less),
        // 101 110 same scale
        ("254208186622762823842.71629992", "76597126194.51389094", Greater),
        ("-254208186622762823842.71629992", "76597126194.51389094", Less),
        ("254208186622762823842.71629992", "-76597126194.51389094", Greater),
        ("-254208186622762823842.71629992", "-76597126194.51389094", Less),
        // 101 110 different scale
        ("25899773651648.380071130043467", "61306258142804903.38", Less),
        ("-25899773651648.380071130043467", "61306258142804903.38", Less),
        ("25899773651648.380071130043467", "-61306258142804903.38", Greater),
        ("-25899773651648.380071130043467", "-61306258142804903.38", Greater),
        // 101 001 same scale
        (
            "254208186622762823842.71629992",
            "83547191565151621967.28086528",
            Greater,
        ),
        ("-254208186622762823842.71629992", "83547191565151621967.28086528", Less),
        (
            "254208186622762823842.71629992",
            "-83547191565151621967.28086528",
            Greater,
        ),
        (
            "-254208186622762823842.71629992",
            "-83547191565151621967.28086528",
            Less,
        ),
        // 101 001 different scale
        ("244762.90302171293318719286219", "9964072.600255221193011888128", Less),
        ("-244762.90302171293318719286219", "9964072.600255221193011888128", Less),
        (
            "244762.90302171293318719286219",
            "-9964072.600255221193011888128",
            Greater,
        ),
        (
            "-244762.90302171293318719286219",
            "-9964072.600255221193011888128",
            Greater,
        ),
        // 101 101 same scale
        (
            "254208186622762823842.71629992",
            "106541875981662806348.63716235",
            Greater,
        ),
        (
            "-254208186622762823842.71629992",
            "106541875981662806348.63716235",
            Less,
        ),
        (
            "254208186622762823842.71629992",
            "-106541875981662806348.63716235",
            Greater,
        ),
        (
            "-254208186622762823842.71629992",
            "-106541875981662806348.63716235",
            Less,
        ),
        // 101 101 different scale
        ("362319.18250030256385507568342", "3619454249020577423546109236", Less),
        ("-362319.18250030256385507568342", "3619454249020577423546109236", Less),
        (
            "362319.18250030256385507568342",
            "-3619454249020577423546109236",
            Greater,
        ),
        (
            "-362319.18250030256385507568342",
            "-3619454249020577423546109236",
            Greater,
        ),
        // 101 011 same scale
        (
            "254208186622762823842.71629992",
            "156781478378762688050.06557184",
            Greater,
        ),
        (
            "-254208186622762823842.71629992",
            "156781478378762688050.06557184",
            Less,
        ),
        (
            "254208186622762823842.71629992",
            "-156781478378762688050.06557184",
            Greater,
        ),
        (
            "-254208186622762823842.71629992",
            "-156781478378762688050.06557184",
            Less,
        ),
        // 101 011 different scale
        ("2486073465266.0337130589931876", "153874906950888902858.19691008", Less),
        (
            "-2486073465266.0337130589931876",
            "153874906950888902858.19691008",
            Less,
        ),
        (
            "2486073465266.0337130589931876",
            "-153874906950888902858.19691008",
            Greater,
        ),
        (
            "-2486073465266.0337130589931876",
            "-153874906950888902858.19691008",
            Greater,
        ),
        // 101 111 same scale
        (
            "254208186622762823842.71629992",
            "10101645723744656462.08148676",
            Greater,
        ),
        ("-254208186622762823842.71629992", "10101645723744656462.08148676", Less),
        (
            "254208186622762823842.71629992",
            "-10101645723744656462.08148676",
            Greater,
        ),
        (
            "-254208186622762823842.71629992",
            "-10101645723744656462.08148676",
            Less,
        ),
        // 101 111 different scale
        ("14107601965.909635434653634526", "111238758546502973973477.99454", Less),
        (
            "-14107601965.909635434653634526",
            "111238758546502973973477.99454",
            Less,
        ),
        (
            "14107601965.909635434653634526",
            "-111238758546502973973477.99454",
            Greater,
        ),
        (
            "-14107601965.909635434653634526",
            "-111238758546502973973477.99454",
            Greater,
        ),
        // 011 equality
        (
            "272322.48219624218537039495168",
            "272322.48219624218537039495168",
            Equal,
        ),
        // 011 000 same scale
        ("272322.48219624218537039495168", "0.00000000000000000000000", Greater),
        ("-272322.48219624218537039495168", "0.00000000000000000000000", Less),
        ("272322.48219624218537039495168", "-0.00000000000000000000000", Greater),
        ("-272322.48219624218537039495168", "-0.00000000000000000000000", Less),
        // 011 000 different scale
        ("3214885516.0787854158246969344", "0.00000000000000000", Greater),
        ("-3214885516.0787854158246969344", "0.00000000000000000", Less),
        ("3214885516.0787854158246969344", "-0.00000000000000000", Greater),
        ("-3214885516.0787854158246969344", "-0.00000000000000000", Less),
        // 011 100 same scale
        ("272322.48219624218537039495168", "0.00000000000000379487994", Greater),
        ("-272322.48219624218537039495168", "0.00000000000000379487994", Less),
        ("272322.48219624218537039495168", "-0.00000000000000379487994", Greater),
        ("-272322.48219624218537039495168", "-0.00000000000000379487994", Less),
        // 011 100 different scale
        ("388166715906.19371912596291584", "0.000000000000001996700736", Greater),
        ("-388166715906.19371912596291584", "0.000000000000001996700736", Less),
        ("388166715906.19371912596291584", "-0.000000000000001996700736", Greater),
        ("-388166715906.19371912596291584", "-0.000000000000001996700736", Less),
        // 011 010 same scale
        ("272322.48219624218537039495168", "0.00000175873997328613376", Greater),
        ("-272322.48219624218537039495168", "0.00000175873997328613376", Less),
        ("272322.48219624218537039495168", "-0.00000175873997328613376", Greater),
        ("-272322.48219624218537039495168", "-0.00000175873997328613376", Less),
        // 011 010 different scale
        (
            "17963864.0946434527121637376",
            "0.0000000001112699367808040960",
            Greater,
        ),
        ("-17963864.0946434527121637376", "0.0000000001112699367808040960", Less),
        (
            "17963864.0946434527121637376",
            "-0.0000000001112699367808040960",
            Greater,
        ),
        ("-17963864.0946434527121637376", "-0.0000000001112699367808040960", Less),
        // 011 110 same scale
        ("272322.48219624218537039495168", "0.00009168252278596474115", Greater),
        ("-272322.48219624218537039495168", "0.00009168252278596474115", Less),
        ("272322.48219624218537039495168", "-0.00009168252278596474115", Greater),
        ("-272322.48219624218537039495168", "-0.00009168252278596474115", Less),
        // 011 110 different scale
        ("3.1530040332824324172729548800", "0.05636139104712652784", Greater),
        ("-3.1530040332824324172729548800", "0.05636139104712652784", Less),
        ("3.1530040332824324172729548800", "-0.05636139104712652784", Greater),
        ("-3.1530040332824324172729548800", "-0.05636139104712652784", Less),
        // 011 001 same scale
        (
            "272322.48219624218537039495168",
            "78956.15667671475190631497728",
            Greater,
        ),
        ("-272322.48219624218537039495168", "78956.15667671475190631497728", Less),
        (
            "272322.48219624218537039495168",
            "-78956.15667671475190631497728",
            Greater,
        ),
        (
            "-272322.48219624218537039495168",
            "-78956.15667671475190631497728",
            Less,
        ),
        // 011 001 different scale
        (
            "247159638929.90774677497446400",
            "18573048.37697991870462820352",
            Greater,
        ),
        ("-247159638929.90774677497446400", "18573048.37697991870462820352", Less),
        (
            "247159638929.90774677497446400",
            "-18573048.37697991870462820352",
            Greater,
        ),
        (
            "-247159638929.90774677497446400",
            "-18573048.37697991870462820352",
            Less,
        ),
        // 011 101 same scale
        ("272322.48219624218537039495168", "311953.28803357654172947915942", Less),
        (
            "-272322.48219624218537039495168",
            "311953.28803357654172947915942",
            Less,
        ),
        (
            "272322.48219624218537039495168",
            "-311953.28803357654172947915942",
            Greater,
        ),
        (
            "-272322.48219624218537039495168",
            "-311953.28803357654172947915942",
            Greater,
        ),
        // 011 101 different scale
        ("2922696937234119470.0273745920", "22441101906503785827606686629", Less),
        ("-2922696937234119470.0273745920", "22441101906503785827606686629", Less),
        (
            "2922696937234119470.0273745920",
            "-22441101906503785827606686629",
            Greater,
        ),
        (
            "-2922696937234119470.0273745920",
            "-22441101906503785827606686629",
            Greater,
        ),
        // 011 011 same scale
        ("272322.48219624218537039495168", "348316.28306497394164006649856", Less),
        (
            "-272322.48219624218537039495168",
            "348316.28306497394164006649856",
            Less,
        ),
        (
            "272322.48219624218537039495168",
            "-348316.28306497394164006649856",
            Greater,
        ),
        (
            "-272322.48219624218537039495168",
            "-348316.28306497394164006649856",
            Greater,
        ),
        // 011 011 different scale
        ("178190346.76624086261395619840", "62208030746.22038852927225856", Less),
        ("-178190346.76624086261395619840", "62208030746.22038852927225856", Less),
        (
            "178190346.76624086261395619840",
            "-62208030746.22038852927225856",
            Greater,
        ),
        (
            "-178190346.76624086261395619840",
            "-62208030746.22038852927225856",
            Greater,
        ),
        // 011 111 same scale
        (
            "272322.48219624218537039495168",
            "41534.52021391898039335355927",
            Greater,
        ),
        ("-272322.48219624218537039495168", "41534.52021391898039335355927", Less),
        (
            "272322.48219624218537039495168",
            "-41534.52021391898039335355927",
            Greater,
        ),
        (
            "-272322.48219624218537039495168",
            "-41534.52021391898039335355927",
            Less,
        ),
        // 011 111 different scale
        ("11.959910518519677083499626496", "2844684364802261541879551.2259", Less),
        (
            "-11.959910518519677083499626496",
            "2844684364802261541879551.2259",
            Less,
        ),
        (
            "11.959910518519677083499626496",
            "-2844684364802261541879551.2259",
            Greater,
        ),
        (
            "-11.959910518519677083499626496",
            "-2844684364802261541879551.2259",
            Greater,
        ),
        // 111 equality
        (
            "3836286746260530032892706.6174",
            "3836286746260530032892706.6174",
            Equal,
        ),
        // 111 000 same scale
        ("3836286746260530032892706.6174", "0.0000", Greater),
        ("-3836286746260530032892706.6174", "0.0000", Less),
        ("3836286746260530032892706.6174", "-0.0000", Greater),
        ("-3836286746260530032892706.6174", "-0.0000", Less),
        // 111 000 different scale
        ("4401861854803552.033657814547", "0.0000000", Greater),
        ("-4401861854803552.033657814547", "0.0000000", Less),
        ("4401861854803552.033657814547", "-0.0000000", Greater),
        ("-4401861854803552.033657814547", "-0.0000000", Less),
        // 111 100 same scale
        ("3836286746260530032892706.6174", "68758.6561", Greater),
        ("-3836286746260530032892706.6174", "68758.6561", Less),
        ("3836286746260530032892706.6174", "-68758.6561", Greater),
        ("-3836286746260530032892706.6174", "-68758.6561", Less),
        // 111 100 different scale
        (
            "18794337354296131695536777.153",
            "0.000000000000000001563875977",
            Greater,
        ),
        ("-18794337354296131695536777.153", "0.000000000000000001563875977", Less),
        (
            "18794337354296131695536777.153",
            "-0.000000000000000001563875977",
            Greater,
        ),
        (
            "-18794337354296131695536777.153",
            "-0.000000000000000001563875977",
            Less,
        ),
        // 111 010 same scale
        ("3836286746260530032892706.6174", "439097665563236.7616", Greater),
        ("-3836286746260530032892706.6174", "439097665563236.7616", Less),
        ("3836286746260530032892706.6174", "-439097665563236.7616", Greater),
        ("-3836286746260530032892706.6174", "-439097665563236.7616", Less),
        // 111 010 different scale
        ("219364497389.57405761662363679", "0.6569644274462228480", Greater),
        ("-219364497389.57405761662363679", "0.6569644274462228480", Less),
        ("219364497389.57405761662363679", "-0.6569644274462228480", Greater),
        ("-219364497389.57405761662363679", "-0.6569644274462228480", Less),
        // 111 110 same scale
        ("3836286746260530032892706.6174", "100013274294974.8269", Greater),
        ("-3836286746260530032892706.6174", "100013274294974.8269", Less),
        ("3836286746260530032892706.6174", "-100013274294974.8269", Greater),
        ("-3836286746260530032892706.6174", "-100013274294974.8269", Less),
        // 111 110 different scale
        ("76072704083682.85472479207171", "50.52437989651117182", Greater),
        ("-76072704083682.85472479207171", "50.52437989651117182", Less),
        ("76072704083682.85472479207171", "-50.52437989651117182", Greater),
        ("-76072704083682.85472479207171", "-50.52437989651117182", Less),
        // 111 001 same scale
        (
            "3836286746260530032892706.6174",
            "2766133872545894272402142.0032",
            Greater,
        ),
        (
            "-3836286746260530032892706.6174",
            "2766133872545894272402142.0032",
            Less,
        ),
        (
            "3836286746260530032892706.6174",
            "-2766133872545894272402142.0032",
            Greater,
        ),
        (
            "-3836286746260530032892706.6174",
            "-2766133872545894272402142.0032",
            Less,
        ),
        // 111 001 different scale
        (
            "38199979438250010.80610984395",
            "31104752430710.408848162684928",
            Greater,
        ),
        ("-38199979438250010.80610984395", "31104752430710.408848162684928", Less),
        (
            "38199979438250010.80610984395",
            "-31104752430710.408848162684928",
            Greater,
        ),
        (
            "-38199979438250010.80610984395",
            "-31104752430710.408848162684928",
            Less,
        ),
        // 111 101 same scale
        (
            "3836286746260530032892706.6174",
            "441847458119168110406908.6115",
            Greater,
        ),
        ("-3836286746260530032892706.6174", "441847458119168110406908.6115", Less),
        (
            "3836286746260530032892706.6174",
            "-441847458119168110406908.6115",
            Greater,
        ),
        (
            "-3836286746260530032892706.6174",
            "-441847458119168110406908.6115",
            Less,
        ),
        // 111 101 different scale
        ("255945012905633524.15746865235", "1005021647855597114428453997.8", Less),
        (
            "-255945012905633524.15746865235",
            "1005021647855597114428453997.8",
            Less,
        ),
        (
            "255945012905633524.15746865235",
            "-1005021647855597114428453997.8",
            Greater,
        ),
        (
            "-255945012905633524.15746865235",
            "-1005021647855597114428453997.8",
            Greater,
        ),
        // 111 011 same scale
        (
            "3836286746260530032892706.6174",
            "1111481055212557787730018.3040",
            Greater,
        ),
        (
            "-3836286746260530032892706.6174",
            "1111481055212557787730018.3040",
            Less,
        ),
        (
            "3836286746260530032892706.6174",
            "-1111481055212557787730018.3040",
            Greater,
        ),
        (
            "-3836286746260530032892706.6174",
            "-1111481055212557787730018.3040",
            Less,
        ),
        // 111 011 different scale
        (
            "79710135995301690627798250.27",
            "4613684285077.479267304996864",
            Greater,
        ),
        ("-79710135995301690627798250.27", "4613684285077.479267304996864", Less),
        (
            "79710135995301690627798250.27",
            "-4613684285077.479267304996864",
            Greater,
        ),
        ("-79710135995301690627798250.27", "-4613684285077.479267304996864", Less),
        // 111 111 same scale
        (
            "3836286746260530032892706.6174",
            "1881105048659612897896770.8539",
            Greater,
        ),
        (
            "-3836286746260530032892706.6174",
            "1881105048659612897896770.8539",
            Less,
        ),
        (
            "3836286746260530032892706.6174",
            "-1881105048659612897896770.8539",
            Greater,
        ),
        (
            "-3836286746260530032892706.6174",
            "-1881105048659612897896770.8539",
            Less,
        ),
        // 111 111 different scale
        (
            "3879592276836332218003.2886500",
            "35612499407667292.686490959658",
            Greater,
        ),
        (
            "-3879592276836332218003.2886500",
            "35612499407667292.686490959658",
            Less,
        ),
        (
            "3879592276836332218003.2886500",
            "-35612499407667292.686490959658",
            Greater,
        ),
        (
            "-3879592276836332218003.2886500",
            "-35612499407667292.686490959658",
            Less,
        ),
    ];
    for &(a, b, c) in tests {
        cmp(a, b, c);
    }
}

#[test]
fn it_floors_decimals() {
    let tests = &[
        ("1", "1"),
        ("1.00", "1"),
        ("1.2345", "1"),
        ("-1", "-1"),
        ("-1.00", "-1"),
        ("-1.2345", "-2"),
    ];
    for &(a, expected) in tests {
        let a = Decimal::from_str(a).unwrap();
        assert_eq!(expected, a.floor().to_string(), "Failed flooring {}", a);
    }
}

#[test]
fn it_ceils_decimals() {
    let tests = &[
        ("1", "1"),
        ("1.00", "1"),
        ("1.2345", "2"),
        ("-1", "-1"),
        ("-1.00", "-1"),
        ("-1.2345", "-1"),
    ];
    for &(a, expected) in tests {
        let a = Decimal::from_str(a).unwrap();
        assert_eq!(expected, a.ceil().to_string(), "Failed ceiling {}", a);
    }
}

#[test]
fn it_finds_max_of_two() {
    let tests = &[("1", "1", "1"), ("2", "1", "2"), ("1", "2", "2")];
    for &(a, b, expected) in tests {
        let a = Decimal::from_str(a).unwrap();
        let b = Decimal::from_str(b).unwrap();
        assert_eq!(expected, a.max(b).to_string());
    }
}

#[test]
fn it_finds_min_of_two() {
    let tests = &[("1", "1", "1"), ("2", "1", "1"), ("1", "2", "1")];
    for &(a, b, expected) in tests {
        let a = Decimal::from_str(a).unwrap();
        let b = Decimal::from_str(b).unwrap();
        assert_eq!(expected, a.min(b).to_string());
    }
}

#[test]
fn test_max_compares() {
    let x = "225.33543601344182".parse::<Decimal>().unwrap();
    let y = Decimal::MAX;
    assert!(x < y);
    assert!(y > x);
    assert_ne!(y, x);
}

#[test]
fn test_min_compares() {
    let x = "225.33543601344182".parse::<Decimal>().unwrap();
    let y = Decimal::MIN;
    assert!(x > y);
    assert!(y < x);
    assert_ne!(y, x);
}

#[test]
fn it_can_parse_from_i32() {
    use num_traits::FromPrimitive;

    let tests = &[
        (0i32, "0"),
        (1i32, "1"),
        (-1i32, "-1"),
        (i32::MAX, "2147483647"),
        (i32::MIN, "-2147483648"),
    ];
    for &(input, expected) in tests {
        let parsed = Decimal::from_i32(input).unwrap();
        assert_eq!(
            expected,
            parsed.to_string(),
            "expected {} does not match parsed {}",
            expected,
            parsed
        );
        assert_eq!(
            input.to_string(),
            parsed.to_string(),
            "i32 to_string {} does not match parsed {}",
            input,
            parsed
        );
    }
}

#[test]
fn it_can_parse_from_i64() {
    use num_traits::FromPrimitive;

    let tests = &[
        (0i64, "0"),
        (1i64, "1"),
        (-1i64, "-1"),
        (i64::MAX, "9223372036854775807"),
        (i64::MIN, "-9223372036854775808"),
    ];
    for &(input, expected) in tests {
        let parsed = Decimal::from_i64(input).unwrap();
        assert_eq!(
            expected,
            parsed.to_string(),
            "expected {} does not match parsed {}",
            expected,
            parsed
        );
        assert_eq!(
            input.to_string(),
            parsed.to_string(),
            "i64 to_string {} does not match parsed {}",
            input,
            parsed
        );
    }
}

#[test]
fn it_can_round_to_2dp() {
    let a = Decimal::from_str("6.12345").unwrap();
    let b = (Decimal::from_str("100").unwrap() * a).round() / Decimal::from_str("100").unwrap();
    assert_eq!("6.12", b.to_string());
}

#[test]
fn it_can_round_using_basic_midpoint_rules() {
    let tests = &[
        ("3.5", RoundingStrategy::MidpointAwayFromZero, "4"),
        ("2.8", RoundingStrategy::MidpointAwayFromZero, "3"),
        ("2.5", RoundingStrategy::MidpointAwayFromZero, "3"),
        ("2.1", RoundingStrategy::MidpointAwayFromZero, "2"),
        ("-2.1", RoundingStrategy::MidpointAwayFromZero, "-2"),
        ("-2.5", RoundingStrategy::MidpointAwayFromZero, "-3"),
        ("-2.8", RoundingStrategy::MidpointAwayFromZero, "-3"),
        ("-3.5", RoundingStrategy::MidpointAwayFromZero, "-4"),
        ("3.5", RoundingStrategy::MidpointNearestEven, "4"),
        ("2.8", RoundingStrategy::MidpointNearestEven, "3"),
        ("2.5", RoundingStrategy::MidpointNearestEven, "2"),
        ("2.1", RoundingStrategy::MidpointNearestEven, "2"),
        ("-2.1", RoundingStrategy::MidpointNearestEven, "-2"),
        ("-2.5", RoundingStrategy::MidpointNearestEven, "-2"),
        ("-2.8", RoundingStrategy::MidpointNearestEven, "-3"),
        ("-3.5", RoundingStrategy::MidpointNearestEven, "-4"),
        ("3.5", RoundingStrategy::MidpointTowardZero, "3"),
        ("2.8", RoundingStrategy::MidpointTowardZero, "3"),
        ("2.5", RoundingStrategy::MidpointTowardZero, "2"),
        ("2.1", RoundingStrategy::MidpointTowardZero, "2"),
        ("-2.1", RoundingStrategy::MidpointTowardZero, "-2"),
        ("-2.5", RoundingStrategy::MidpointTowardZero, "-2"),
        ("-2.8", RoundingStrategy::MidpointTowardZero, "-3"),
        ("-3.5", RoundingStrategy::MidpointTowardZero, "-3"),
        ("2.8", RoundingStrategy::ToNegativeInfinity, "2"),
        ("2.5", RoundingStrategy::ToNegativeInfinity, "2"),
        ("2.1", RoundingStrategy::ToNegativeInfinity, "2"),
        ("-2.1", RoundingStrategy::ToNegativeInfinity, "-3"),
        ("-2.5", RoundingStrategy::ToNegativeInfinity, "-3"),
        ("-2.8", RoundingStrategy::ToNegativeInfinity, "-3"),
        ("2.8", RoundingStrategy::ToPositiveInfinity, "3"),
        ("2.5", RoundingStrategy::ToPositiveInfinity, "3"),
        ("2.1", RoundingStrategy::ToPositiveInfinity, "3"),
        ("-2.1", RoundingStrategy::ToPositiveInfinity, "-2"),
        ("-2.5", RoundingStrategy::ToPositiveInfinity, "-2"),
        ("-2.8", RoundingStrategy::ToPositiveInfinity, "-2"),
        ("2.8", RoundingStrategy::ToZero, "2"),
        ("2.5", RoundingStrategy::ToZero, "2"),
        ("2.1", RoundingStrategy::ToZero, "2"),
        ("-2.1", RoundingStrategy::ToZero, "-2"),
        ("-2.5", RoundingStrategy::ToZero, "-2"),
        ("-2.8", RoundingStrategy::ToZero, "-2"),
        ("2.8", RoundingStrategy::AwayFromZero, "3"),
        ("2.5", RoundingStrategy::AwayFromZero, "3"),
        ("2.1", RoundingStrategy::AwayFromZero, "3"),
        ("-2.1", RoundingStrategy::AwayFromZero, "-3"),
        ("-2.5", RoundingStrategy::AwayFromZero, "-3"),
        ("-2.8", RoundingStrategy::AwayFromZero, "-3"),
    ];

    for &(input, strategy, expected) in tests {
        let a = Decimal::from_str(input).unwrap();
        let b = a.round_dp_with_strategy(0, strategy);
        assert_eq!(expected, b.to_string(), "{} > {} for {:?}", input, expected, strategy);
    }
}

#[test]
fn it_can_round_using_bankers_rounding() {
    let tests = &[
        ("6.12345", 2, "6.12"),
        ("6.126", 2, "6.13"),
        ("-6.126", 2, "-6.13"),
        ("6.5", 0, "6"),
        ("7.5", 0, "8"),
        ("1.2250", 2, "1.22"),
        ("1.2252", 2, "1.23"),
        ("1.2249", 2, "1.22"),
        ("6.1", 2, "6.1"),
        ("0.0000", 2, "0.00"),
        ("0.6666666666666666666666666666", 2, "0.67"),
        ("1.40", 0, "1"),
        ("2.60", 0, "3"),
        ("2.1234567890123456789012345678", 27, "2.123456789012345678901234568"),
    ];
    for &(input, dp, expected) in tests {
        let a = Decimal::from_str(input).unwrap();
        #[allow(deprecated)]
        let b = a.round_dp_with_strategy(dp, RoundingStrategy::BankersRounding);
        assert_eq!(expected, b.to_string(), "BankersRounding");

        // Recommended replacement
        let b = a.round_dp_with_strategy(dp, RoundingStrategy::MidpointNearestEven);
        assert_eq!(expected, b.to_string(), "MidpointNearestEven");
    }
}

#[test]
fn it_can_round_complex_numbers_using_bankers_rounding() {
    // Issue #71
    let rate = Decimal::new(19, 2); // 0.19
    let one = Decimal::new(1, 0); // 1
    let part = rate / (rate + one); // 0.19 / (0.19 + 1) = 0.1596638655462184873949579832

    #[allow(deprecated)]
    let part = part.round_dp_with_strategy(2, RoundingStrategy::BankersRounding); // 0.16
    assert_eq!("0.16", part.to_string(), "BankersRounding");

    // Recommended replacement
    let part = part.round_dp_with_strategy(2, RoundingStrategy::MidpointNearestEven); // 0.16
    assert_eq!("0.16", part.to_string(), "MidpointNearestEven");
}

#[test]
fn it_can_round_using_round_half_up() {
    let tests = &[
        ("0", 0, "0"),
        ("1.234", 3, "1.234"),
        ("1.12", 5, "1.12"),
        ("6.34567", 2, "6.35"),
        ("6.5", 0, "7"),
        ("12.49", 0, "12"),
        ("0.6666666666666666666666666666", 2, "0.67"),
        ("1.40", 0, "1"),
        ("2.60", 0, "3"),
        ("2.1234567890123456789012345678", 27, "2.123456789012345678901234568"),
    ];
    for &(input, dp, expected) in tests {
        let a = Decimal::from_str(input).unwrap();
        #[allow(deprecated)]
        let b = a.round_dp_with_strategy(dp, RoundingStrategy::RoundHalfUp);
        assert_eq!(expected, b.to_string(), "RoundHalfUp");

        // Recommended replacement
        let b = a.round_dp_with_strategy(dp, RoundingStrategy::MidpointAwayFromZero);
        assert_eq!(expected, b.to_string(), "MidpointAwayFromZero");
    }
}

#[test]
fn it_can_round_complex_numbers_using_round_half_up() {
    // Issue #71
    let rate = Decimal::new(19, 2); // 0.19
    let one = Decimal::new(1, 0); // 1
    let part = rate / (rate + one); // 0.19 / (0.19 + 1) = 0.1596638655462184873949579832
    #[allow(deprecated)]
    let part = part.round_dp_with_strategy(2, RoundingStrategy::RoundHalfUp); // 0.16
    assert_eq!("0.16", part.to_string(), "RoundHalfUp");

    // Recommended replacement
    let part = part.round_dp_with_strategy(2, RoundingStrategy::MidpointAwayFromZero); // 0.16
    assert_eq!("0.16", part.to_string(), "MidpointAwayFromZero");
}

#[test]
fn it_can_round_using_round_half_down() {
    let tests = &[
        ("0", 0, "0"),
        ("1.234", 3, "1.234"),
        ("1.12", 5, "1.12"),
        ("6.34567", 2, "6.35"),
        ("6.51", 0, "7"),
        ("12.5", 0, "12"),
        ("0.6666666666666666666666666666", 2, "0.67"),
        ("1.40", 0, "1"),
        ("2.60", 0, "3"),
        ("2.1234567890123456789012345678", 27, "2.123456789012345678901234568"),
    ];
    for &(input, dp, expected) in tests {
        let a = Decimal::from_str(input).unwrap();
        #[allow(deprecated)]
        let b = a.round_dp_with_strategy(dp, RoundingStrategy::RoundHalfDown);
        assert_eq!(expected, b.to_string(), "RoundHalfDown");

        // Recommended replacement
        let b = a.round_dp_with_strategy(dp, RoundingStrategy::MidpointTowardZero);
        assert_eq!(expected, b.to_string(), "MidpointTowardZero");
    }
}

#[test]
fn it_can_round_complex_numbers_using_round_half_down() {
    // Issue #71
    let rate = Decimal::new(19, 2); // 0.19
    let one = Decimal::new(1, 0); // 1
    let part = rate / (rate + one); // 0.19 / (0.19 + 1) = 0.1596638655462184873949579832

    #[allow(deprecated)]
    let part = part.round_dp_with_strategy(2, RoundingStrategy::RoundHalfDown); // 0.16
    assert_eq!("0.16", part.to_string(), "RoundHalfDown");

    // Recommended replacement
    let part = part.round_dp_with_strategy(2, RoundingStrategy::MidpointTowardZero); // 0.16
    assert_eq!("0.16", part.to_string(), "RoundHalfDown");
}

#[test]
fn it_can_round_to_2dp_using_explicit_function() {
    let a = Decimal::from_str("6.12345").unwrap();
    let b = a.round_dp(2u32);
    assert_eq!("6.12", b.to_string());
}

#[test]
fn it_can_round_up_to_2dp_using_explicit_function() {
    let a = Decimal::from_str("6.126").unwrap();
    let b = a.round_dp(2u32);
    assert_eq!("6.13", b.to_string());
}

#[test]
fn it_can_round_down_to_2dp_using_explicit_function() {
    let a = Decimal::from_str("-6.126").unwrap();
    let b = a.round_dp(2u32);
    assert_eq!("-6.13", b.to_string());
}

#[test]
fn it_can_round_down_using_bankers_rounding() {
    let a = Decimal::from_str("6.5").unwrap();
    let b = a.round_dp(0u32);
    assert_eq!("6", b.to_string());
}

#[test]
fn it_can_round_up_using_bankers_rounding() {
    let a = Decimal::from_str("7.5").unwrap();
    let b = a.round_dp(0u32);
    assert_eq!("8", b.to_string());
}

#[test]
fn it_can_round_correctly_using_bankers_rounding_1() {
    let a = Decimal::from_str("1.2250").unwrap();
    let b = a.round_dp(2u32);
    assert_eq!("1.22", b.to_string());
}

#[test]
fn it_can_round_correctly_using_bankers_rounding_2() {
    let a = Decimal::from_str("1.2251").unwrap();
    let b = a.round_dp(2u32);
    assert_eq!("1.23", b.to_string());
}

#[test]
fn it_can_round_down_when_required() {
    let a = Decimal::from_str("1.2249").unwrap();
    let b = a.round_dp(2u32);
    assert_eq!("1.22", b.to_string());
}

#[test]
fn it_can_round_to_2dp_using_explicit_function_without_changing_value() {
    let a = Decimal::from_str("6.1").unwrap();
    let b = a.round_dp(2u32);
    assert_eq!("6.1", b.to_string());
}

#[test]
fn it_can_round_zero() {
    let a = Decimal::from_str("0.0000").unwrap();
    let b = a.round_dp(2u32);
    assert_eq!("0.00", b.to_string());
}

#[test]
fn it_can_round_large_decimals() {
    let a = Decimal::from_str("0.6666666666666666666666666666").unwrap();
    let b = a.round_dp(2u32);
    assert_eq!("0.67", b.to_string());
}

#[test]
fn it_can_round_simple_numbers_down() {
    let a = Decimal::from_str("1.40").unwrap();
    let b = a.round_dp(0u32);
    assert_eq!("1", b.to_string());
}

#[test]
fn it_can_round_simple_numbers_up() {
    let a = Decimal::from_str("2.60").unwrap();
    let b = a.round_dp(0u32);
    assert_eq!("3", b.to_string());
}

#[test]
fn it_can_round_simple_numbers_with_high_precision() {
    let a = Decimal::from_str("2.1234567890123456789012345678").unwrap();
    let b = a.round_dp(27u32);
    assert_eq!("2.123456789012345678901234568", b.to_string());
}

#[test]
fn it_can_round_complex_numbers() {
    // Issue #71
    let rate = Decimal::new(19, 2); // 0.19
    let one = Decimal::new(1, 0); // 1
    let part = rate / (rate + one); // 0.19 / (0.19 + 1) = 0.1596638655462184873949579832
    let part = part.round_dp(2); // 0.16
    assert_eq!("0.16", part.to_string());
}

#[test]
fn it_can_round_down() {
    let tests = &[
        ("0.470", 1, "0.4"),
        ("-0.470", 1, "-0.4"), // Toward zero
        ("0.400", 1, "0.4"),
        ("-0.400", 1, "-0.4"),
    ];
    for &(input, dp, expected) in tests {
        let a = Decimal::from_str(input).unwrap();
        #[allow(deprecated)]
        let b = a.round_dp_with_strategy(dp, RoundingStrategy::RoundDown);
        assert_eq!(expected, b.to_string(), "RoundDown");

        // Recommended replacement
        let b = a.round_dp_with_strategy(dp, RoundingStrategy::ToZero);
        assert_eq!(expected, b.to_string(), "ToZero");
    }
}

#[test]
fn it_can_round_up() {
    let tests = &[
        ("2.8", 0, "3"),
        ("2.5", 0, "3"),
        ("2.1", 0, "3"),
        ("-2.1", 0, "-3"),
        ("-2.5", 0, "-3"),
        ("-2.8", 0, "-3"),
        ("0.320", 1, "0.4"),
        ("-0.320", 1, "-0.4"),
        ("0.300", 1, "0.3"),
        ("-0.300", 1, "-0.3"),
    ];

    for &(input, dp, expected) in tests {
        let a = Decimal::from_str(input).unwrap();
        #[allow(deprecated)]
        let b = a.round_dp_with_strategy(dp, RoundingStrategy::RoundUp);
        assert_eq!(expected, b.to_string(), "RoundUp");

        // Recommended replacement
        let b = a.round_dp_with_strategy(dp, RoundingStrategy::AwayFromZero);
        assert_eq!(expected, b.to_string(), "AwayFromZero");
    }
}

#[test]
fn it_can_trunc() {
    let tests = &[("1.00000000000000000000", "1"), ("1.000000000000000000000001", "1")];

    for &(value, expected) in tests {
        let value = Decimal::from_str(value).unwrap();
        let expected = Decimal::from_str(expected).unwrap();
        let trunc = value.trunc();
        assert_eq!(expected.to_string(), trunc.to_string());
    }
}

#[test]
fn it_can_fract() {
    let tests = &[
        ("1.00000000000000000000", "0.00000000000000000000"),
        ("1.000000000000000000000001", "0.000000000000000000000001"),
    ];

    for &(value, expected) in tests {
        let value = Decimal::from_str(value).unwrap();
        let expected = Decimal::from_str(expected).unwrap();
        let fract = value.fract();
        assert_eq!(expected.to_string(), fract.to_string());
    }
}

#[test]
fn it_can_normalize() {
    let tests = &[
        ("1.00000000000000000000", "1"),
        ("1.10000000000000000000000", "1.1"),
        ("1.00010000000000000000000", "1.0001"),
        ("1", "1"),
        ("1.1", "1.1"),
        ("1.0001", "1.0001"),
        ("-0", "0"),
        ("-0.0", "0"),
        ("-0.010", "-0.01"),
        ("0.0", "0"),
    ];

    for &(value, expected) in tests {
        let value = Decimal::from_str(value).unwrap();
        let expected = Decimal::from_str(expected).unwrap();
        let normalized = value.normalize();
        assert_eq!(expected.to_string(), normalized.to_string());
    }
}

#[test]
fn it_can_return_the_max_value() {
    assert_eq!("79228162514264337593543950335", Decimal::MAX.to_string());
}

#[test]
fn it_can_return_the_min_value() {
    assert_eq!("-79228162514264337593543950335", Decimal::MIN.to_string());
}

#[test]
fn it_can_go_from_and_into() {
    let d = Decimal::from_str("5").unwrap();
    let di8 = 5u8.into();
    let di32 = 5i32.into();
    let disize = 5isize.into();
    let di64 = 5i64.into();
    let du8 = 5u8.into();
    let du32 = 5u32.into();
    let dusize = 5usize.into();
    let du64 = 5u64.into();

    assert_eq!(d, di8);
    assert_eq!(di8, di32);
    assert_eq!(di32, disize);
    assert_eq!(disize, di64);
    assert_eq!(di64, du8);
    assert_eq!(du8, du32);
    assert_eq!(du32, dusize);
    assert_eq!(dusize, du64);
}

#[test]
fn it_converts_to_f64() {
    let tests = &[
        ("5", Some(5f64)),
        ("-5", Some(-5f64)),
        ("0.1", Some(0.1f64)),
        ("0.0", Some(0f64)),
        ("-0.0", Some(0f64)),
        ("0.0000000000025", Some(0.25e-11f64)),
        ("1000000.0000000000025", Some(1e6f64)),
        ("0.000000000000000000000000025", Some(0.25e-25_f64)),
        (
            "2.1234567890123456789012345678",
            Some(2.1234567890123456789012345678_f64),
        ),
        (
            "21234567890123456789012345678",
            None, // Cannot be represented in an f64
        ),
        ("1.59283191", Some(1.59283191_f64)),
        ("2.2238", Some(2.2238_f64)),
        ("2.2238123", Some(2.2238123_f64)),
        ("22238", Some(22238_f64)),
    ];
    for &(value, expected) in tests {
        let value = Decimal::from_str(value).unwrap().to_f64();
        assert_eq!(expected, value);
    }
}

#[test]
fn it_converts_to_f64_try() {
    let tests = &[
        ("5", Some(5f64)),
        ("-5", Some(-5f64)),
        ("0.1", Some(0.1f64)),
        ("0.0", Some(0f64)),
        ("-0.0", Some(0f64)),
        ("0.0000000000025", Some(0.25e-11f64)),
        ("1000000.0000000000025", Some(1e6f64)),
        ("0.000000000000000000000000025", Some(0.25e-25_f64)),
        (
            "2.1234567890123456789012345678",
            Some(2.1234567890123456789012345678_f64),
        ),
        (
            "21234567890123456789012345678",
            None, // Cannot be represented in an f64
        ),
        ("1.59283191", Some(1.59283191_f64)),
    ];
    for &(value, expected) in tests {
        let value = Decimal::from_str(value).unwrap().try_into().ok();
        assert_eq!(expected, value);
    }
}

#[test]
fn it_converts_to_i64() {
    assert_eq!(5i64, Decimal::from_str("5").unwrap().to_i64().unwrap());
    assert_eq!(-5i64, Decimal::from_str("-5").unwrap().to_i64().unwrap());
    assert_eq!(5i64, Decimal::from_str("5.12345").unwrap().to_i64().unwrap());
    assert_eq!(-5i64, Decimal::from_str("-5.12345").unwrap().to_i64().unwrap());
    assert_eq!(
        0x7FFF_FFFF_FFFF_FFFF,
        Decimal::from_str("9223372036854775807").unwrap().to_i64().unwrap()
    );
    assert_eq!(None, Decimal::from_str("92233720368547758089").unwrap().to_i64());
}

#[test]
fn it_converts_to_u64() {
    assert_eq!(5u64, Decimal::from_str("5").unwrap().to_u64().unwrap());
    assert_eq!(None, Decimal::from_str("-5").unwrap().to_u64());
    assert_eq!(5u64, Decimal::from_str("5.12345").unwrap().to_u64().unwrap());
    assert_eq!(
        0xFFFF_FFFF_FFFF_FFFF,
        Decimal::from_str("18446744073709551615").unwrap().to_u64().unwrap()
    );
    assert_eq!(None, Decimal::from_str("18446744073709551616").unwrap().to_u64());
}

#[test]
fn it_converts_to_i128() {
    let tests = &[
        ("5", Some(5i128)),
        ("-5", Some(-5i128)),
        ("5.12345", Some(5i128)),
        ("-5.12345", Some(-5i128)),
        ("9223372036854775807", Some(0x7FFF_FFFF_FFFF_FFFF)),
        ("92233720368547758089", Some(92233720368547758089i128)),
    ];
    for (dec, expected) in tests {
        assert_eq!(Decimal::from_str(dec).unwrap().to_i128(), *expected);
    }

    assert_eq!(
        79_228_162_514_264_337_593_543_950_335_i128,
        Decimal::MAX.to_i128().unwrap()
    );
}

#[test]
fn it_converts_to_u128() {
    let tests = &[
        ("5", Some(5u128)),
        ("-5", None),
        ("5.12345", Some(5u128)),
        ("-5.12345", None),
        ("18446744073709551615", Some(0xFFFF_FFFF_FFFF_FFFF)),
        ("18446744073709551616", Some(18446744073709551616u128)),
    ];
    for (dec, expected) in tests {
        assert_eq!(Decimal::from_str(dec).unwrap().to_u128(), *expected);
    }
    assert_eq!(
        79_228_162_514_264_337_593_543_950_335_u128,
        Decimal::MAX.to_u128().unwrap()
    );
}

#[test]
fn it_converts_from_i128() {
    let tests: &[(i128, Option<&str>)] = &[
        (5, Some("5")),
        (-5, Some("-5")),
        (0x7FFF_FFFF_FFFF_FFFF, Some("9223372036854775807")),
        (92233720368547758089, Some("92233720368547758089")),
        (0xFFFF_FFFF_FFFF_FFFF_FFFF_FFFF, Some("79228162514264337593543950335")),
        (0x7FFF_FFFF_FFFF_FFFF_FFFF_FFFF_FFFF_FFFF, None),
    ];
    for (value, expected) in tests {
        if let Some(expected_value) = expected {
            let decimal = Decimal::from_str(expected_value).unwrap();
            assert_eq!(num_traits::FromPrimitive::from_i128(*value), Some(decimal));
        }
    }
}

#[test]
fn it_converts_from_u128() {
    let tests: &[(u128, Option<&str>)] = &[
        (5, Some("5")),
        (0xFFFF_FFFF_FFFF_FFFF, Some("18446744073709551615")),
        (0xFFFF_FFFF_FFFF_FFFF_FFFF_FFFF, Some("79228162514264337593543950335")),
        (0x7FFF_FFFF_FFFF_FFFF_FFFF_FFFF_FFFF_FFFF, None),
    ];
    for (value, expected) in tests {
        if let Some(expected_value) = expected {
            let decimal = Decimal::from_str(expected_value).unwrap();
            assert_eq!(num_traits::FromPrimitive::from_u128(*value), Some(decimal));
        }
    }
}

#[test]
fn it_converts_from_f32() {
    fn from_f32(f: f32) -> Option<Decimal> {
        num_traits::FromPrimitive::from_f32(f)
    }

    assert_eq!("1", from_f32(1f32).unwrap().to_string());
    assert_eq!("0", from_f32(0f32).unwrap().to_string());
    assert_eq!("0.12345", from_f32(0.12345f32).unwrap().to_string());
    assert_eq!(
        "0.12345678",
        from_f32(0.1234567800123456789012345678f32).unwrap().to_string()
    );
    assert_eq!(
        "0.12345679",
        from_f32(0.12345678901234567890123456789f32).unwrap().to_string()
    );
    assert_eq!("0", from_f32(0.00000000000000000000000000001f32).unwrap().to_string());

    assert!(from_f32(f32::NAN).is_none());
    assert!(from_f32(f32::INFINITY).is_none());

    // These both overflow
    assert!(from_f32(f32::MAX).is_none());
    assert!(from_f32(f32::MIN).is_none());
}

#[test]
fn it_converts_from_f32_try() {
    assert_eq!("1", Decimal::try_from(1f32).unwrap().to_string());
    assert_eq!("0", Decimal::try_from(0f32).unwrap().to_string());
    assert_eq!("0.12345", Decimal::try_from(0.12345f32).unwrap().to_string());
    assert_eq!(
        "0.12345678",
        Decimal::try_from(0.1234567800123456789012345678f32)
            .unwrap()
            .to_string()
    );
    assert_eq!(
        "0.12345679",
        Decimal::try_from(0.12345678901234567890123456789f32)
            .unwrap()
            .to_string()
    );
    assert_eq!(
        "0",
        Decimal::try_from(0.00000000000000000000000000001f32)
            .unwrap()
            .to_string()
    );

    assert!(Decimal::try_from(f32::NAN).is_err());
    assert!(Decimal::try_from(f32::INFINITY).is_err());

    // These both overflow
    assert!(Decimal::try_from(f32::MAX).is_err());
    assert!(Decimal::try_from(f32::MIN).is_err());
}

#[test]
fn it_converts_from_f64() {
    fn from_f64(f: f64) -> Option<Decimal> {
        num_traits::FromPrimitive::from_f64(f)
    }

    assert_eq!("1", from_f64(1f64).unwrap().to_string());
    assert_eq!("0", from_f64(0f64).unwrap().to_string());
    assert_eq!("0.12345", from_f64(0.12345f64).unwrap().to_string());
    assert_eq!(
        "0.1234567890123456",
        from_f64(0.1234567890123456089012345678f64).unwrap().to_string()
    );
    assert_eq!(
        "0.1234567890123457",
        from_f64(0.12345678901234567890123456789f64).unwrap().to_string()
    );
    assert_eq!("0", from_f64(0.00000000000000000000000000001f64).unwrap().to_string());
    assert_eq!("0.6927", from_f64(0.6927f64).unwrap().to_string());
    assert_eq!("0.00006927", from_f64(0.00006927f64).unwrap().to_string());
    assert_eq!("0.000000006927", from_f64(0.000000006927f64).unwrap().to_string());

    assert!(from_f64(f64::NAN).is_none());
    assert!(from_f64(f64::INFINITY).is_none());

    // These both overflow
    assert!(from_f64(f64::MAX).is_none());
    assert!(from_f64(f64::MIN).is_none());
}

#[test]
fn it_converts_from_f64_try() {
    assert_eq!("1", Decimal::try_from(1f64).unwrap().to_string());
    assert_eq!("0", Decimal::try_from(0f64).unwrap().to_string());
    assert_eq!("0.12345", Decimal::try_from(0.12345f64).unwrap().to_string());
    assert_eq!(
        "0.1234567890123456",
        Decimal::try_from(0.1234567890123456089012345678f64)
            .unwrap()
            .to_string()
    );
    assert_eq!(
        "0.1234567890123457",
        Decimal::try_from(0.12345678901234567890123456789f64)
            .unwrap()
            .to_string()
    );
    assert_eq!(
        "0",
        Decimal::try_from(0.00000000000000000000000000001f64)
            .unwrap()
            .to_string()
    );
    assert_eq!("0.6927", Decimal::try_from(0.6927f64).unwrap().to_string());
    assert_eq!("0.00006927", Decimal::try_from(0.00006927f64).unwrap().to_string());
    assert_eq!(
        "0.000000006927",
        Decimal::try_from(0.000000006927f64).unwrap().to_string()
    );

    assert!(Decimal::try_from(f64::NAN).is_err());
    assert!(Decimal::try_from(f64::INFINITY).is_err());

    // These both overflow
    assert!(Decimal::try_from(f64::MAX).is_err());
    assert!(Decimal::try_from(f64::MIN).is_err());
}

#[test]
fn it_handles_simple_underflow() {
    // Issue #71
    let rate = Decimal::new(19, 2); // 0.19
    let one = Decimal::new(1, 0); // 1
    let part = rate / (rate + one); // 0.19 / (0.19 + 1) = 0.1596638655462184873949579832
    let result = one * part;
    assert_eq!("0.1596638655462184873949579832", result.to_string());

    // 169 * 0.1596638655462184873949579832 = 26.983193277310924
    let result = part * Decimal::new(169, 0);
    assert_eq!("26.983193277310924369747899161", result.to_string());
    let result = Decimal::new(169, 0) * part;
    assert_eq!("26.983193277310924369747899161", result.to_string());
}

#[test]
fn it_can_parse_highly_significant_numbers() {
    let tests = &[
        ("11.111111111111111111111111111", "11.111111111111111111111111111"),
        ("11.11111111111111111111111111111", "11.111111111111111111111111111"),
        ("11.1111111111111111111111111115", "11.111111111111111111111111112"),
        ("115.111111111111111111111111111", "115.11111111111111111111111111"),
        ("1115.11111111111111111111111111", "1115.1111111111111111111111111"),
        ("11.1111111111111111111111111195", "11.111111111111111111111111120"),
        ("99.9999999999999999999999999995", "100.00000000000000000000000000"),
        ("-11.1111111111111111111111111195", "-11.111111111111111111111111120"),
        ("-99.9999999999999999999999999995", "-100.00000000000000000000000000"),
        ("3.1415926535897932384626433832", "3.1415926535897932384626433832"),
        (
            "8808257419827262908.5944405087133154018",
            "8808257419827262908.594440509",
        ),
        (
            "8097370036018690744.2590371109596744091",
            "8097370036018690744.259037111",
        ),
        (
            "8097370036018690744.2590371149596744091",
            "8097370036018690744.259037115",
        ),
        (
            "8097370036018690744.2590371159596744091",
            "8097370036018690744.259037116",
        ),
        ("1.234567890123456789012345678949999", "1.2345678901234567890123456789"),
    ];
    for &(value, expected) in tests {
        assert_eq!(expected, Decimal::from_str(value).unwrap().to_string());
    }
}

#[test]
fn it_can_parse_alternative_formats() {
    let tests = &[
        ("1_000", "1000"),
        ("1_000_000", "1000000"),
        ("10_000_000", "10000000"),
        ("100_000", "100000"),
        // At the moment, we'll accept this
        ("1_____________0", "10"),
    ];
    for &(value, expected) in tests {
        assert_eq!(expected, Decimal::from_str(value).unwrap().to_string());
    }
}

#[test]
fn it_can_parse_fractional_numbers_with_underscore_separators() {
    let a = Decimal::from_str("0.1_23_456").unwrap();
    assert_eq!(a.is_sign_negative(), false);
    assert_eq!(a.scale(), 6);
    assert_eq!("0.123456", a.to_string());
}

#[test]
fn it_can_parse_numbers_with_underscore_separators_before_decimal_point() {
    let a = Decimal::from_str("1_234.56").unwrap();
    assert_eq!(a.is_sign_negative(), false);
    assert_eq!(a.scale(), 2);
    assert_eq!("1234.56", a.to_string());
}

#[test]
fn it_can_parse_numbers_and_round_correctly_with_underscore_separators_before_decimal_point() {
    let tests = &[
        (
            "8_097_370_036_018_690_744.2590371159596744091",
            "8097370036018690744.259037116",
        ),
        (
            "8097370036018690744.259_037_115_959_674_409_1",
            "8097370036018690744.259037116",
        ),
        (
            "8_097_370_036_018_690_744.259_037_115_959_674_409_1",
            "8097370036018690744.259037116",
        ),
    ];
    for &(value, expected) in tests {
        assert_eq!(expected, Decimal::from_str(value).unwrap().to_string());
    }
}

#[test]
fn it_can_reject_invalid_formats() {
    let tests = &["_1", "1.0.0", "10_00.0_00.0"];
    for &value in tests {
        assert!(
            Decimal::from_str(value).is_err(),
            "This succeeded unexpectedly: {}",
            value
        );
    }
}

#[test]
fn it_can_reject_large_numbers_with_panic() {
    let tests = &[
        // The maximum number supported is 79,228,162,514,264,337,593,543,950,335
        "79228162514264337593543950336",
        "79228162514264337593543950337",
        "79228162514264337593543950338",
        "79228162514264337593543950339",
        "79228162514264337593543950340",
    ];
    for &value in tests {
        assert!(
            Decimal::from_str(value).is_err(),
            "This succeeded unexpectedly: {}",
            value
        );
    }
}

#[test]
fn it_can_parse_individual_parts() {
    let pi = Decimal::from_parts(1102470952, 185874565, 1703060790, false, 28);
    assert_eq!(pi.to_string(), "3.1415926535897932384626433832");
}

#[test]
fn it_can_parse_scientific_notation() {
    let tests = &[
        ("9.7e-7", "0.00000097"),
        ("9e-7", "0.0000009"),
        ("1.2e10", "12000000000"),
        ("1.2e+10", "12000000000"),
        ("12e10", "120000000000"),
        ("9.7E-7", "0.00000097"),
        ("1.2345E-24", "0.0000000000000000000000012345"),
        ("12345E-28", "0.0000000000000000000000012345"),
        ("1.2345E0", "1.2345"),
        ("1E28", "10000000000000000000000000000"),
    ];

    for &(value, expected) in tests {
        assert_eq!(expected, Decimal::from_scientific(value).unwrap().to_string());
    }
}

#[test]
fn it_errors_parsing_large_scientific_notation() {
    let result = Decimal::from_scientific("1.2345E-28");
    assert!(result.is_err());
    assert_eq!(
        result.err(),
        Some(Error::ScaleExceedsMaximumPrecision(32)) // 4 + 28
    );

    let result = Decimal::from_scientific("12345E29");
    assert!(result.is_err());
    assert_eq!(result.err(), Some(Error::ScaleExceedsMaximumPrecision(29)));

    let result = Decimal::from_scientific("12345E28");
    assert!(result.is_err());
    assert_eq!(result.err(), Some(Error::ExceedsMaximumPossibleValue));
}

#[test]
fn it_can_parse_different_radix() {
    let tests = &[
        // Input, Radix, Success, to_string()
        ("123", 10, true, "123"),
        ("123", 8, true, "83"),
        ("123", 16, true, "291"),
        ("abc", 10, false, ""),
        ("abc", 16, true, "2748"),
        ("78", 10, true, "78"),
        ("78", 8, false, ""),
        ("101", 2, true, "5"),
        // Parse base 2
        ("1111_1111_1111_1111_1111_1111_1111_1111", 2, true, "4294967295"),
        // Max supported value
        (
            "1111_1111_1111_1111_1111_1111_1111_1111_1111_1111_1111_\
          1111_1111_1111_1111_1111_1111_1111_1111_1111_1111_1111_1111_1111",
            2,
            true,
            &Decimal::MAX.to_string(),
        ),
        // We limit to 28 dp
        (
            "843.6500000000000000000000000000",
            10,
            true,
            "843.6500000000000000000000000",
        ),
    ];

    for &(input, radix, success, expected) in tests {
        let result = Decimal::from_str_radix(input, radix);
        assert_eq!(
            success,
            result.is_ok(),
            "Failed to parse: {} radix {}: {:?}",
            input,
            radix,
            result.err()
        );
        if result.is_ok() {
            assert_eq!(
                expected,
                result.unwrap().to_string(),
                "Original input: {} radix {}",
                input,
                radix
            );
        }
    }
}

#[test]
fn it_can_calculate_signum() {
    let tests = &[("123", 1), ("-123", -1), ("0", 0)];

    for &(input, expected) in tests {
        let input = Decimal::from_str(input).unwrap();
        assert_eq!(expected, input.signum().to_i32().unwrap(), "Input: {}", input);
    }
}

#[test]
fn it_can_calculate_abs_sub() {
    let tests = &[
        ("123", "124", 0),
        ("123", "123", 0),
        ("123", "122", 123),
        ("-123", "-124", 123),
        ("-123", "-123", 0),
        ("-123", "-122", 0),
    ];

    for &(input1, input2, expected) in tests {
        let input1 = Decimal::from_str(input1).unwrap();
        let input2 = Decimal::from_str(input2).unwrap();
        assert_eq!(
            expected,
            input1.abs_sub(&input2).to_i32().unwrap(),
            "Input: {} {}",
            input1,
            input2
        );
    }
}

#[test]
#[should_panic(expected = "Scale exceeds the maximum precision allowed: 29 > 28")]
fn it_panics_when_scale_too_large() {
    let _ = Decimal::new(1, 29);
}

#[test]
fn test_zero_eq_negative_zero() {
    let zero: Decimal = 0.into();

    assert_eq!(zero, zero);
    assert_eq!(-zero, zero);
    assert_eq!(zero, -zero);
}

#[test]
fn declarative_dec_sum() {
    let vs = (0..10).map(|i| i.into()).collect::<Vec<Decimal>>();
    let sum: Decimal = vs.iter().cloned().sum();

    assert_eq!(sum, Decimal::from(45))
}

#[test]
fn declarative_ref_dec_sum() {
    let vs = (0..10).map(|i| i.into()).collect::<Vec<Decimal>>();
    let sum: Decimal = vs.iter().sum();

    assert_eq!(sum, Decimal::from(45))
}

#[cfg(feature = "postgres")]
#[test]
fn to_from_sql() {
    use bytes::BytesMut;
    use postgres::types::{FromSql, Kind, ToSql, Type};

    let tests = &[
        "3950.123456",
        "3950",
        "0.1",
        "0.01",
        "0.001",
        "0.0001",
        "0.00001",
        "0.000001",
        "1",
        "-100",
        "-123.456",
        "119996.25",
        "1000000",
        "9999999.99999",
        "12340.56789",
        "79228162514264337593543950335", // 0xFFFF_FFFF_FFFF_FFFF_FFFF_FFFF (96 bit)
        "4951760157141521099596496895",  // 0x0FFF_FFFF_FFFF_FFFF_FFFF_FFFF (95 bit)
        "4951760157141521099596496896",  // 0x1000_0000_0000_0000_0000_0000
        "18446744073709551615",
        "-18446744073709551615",
    ];

    let t = Type::new("".into(), 0, Kind::Simple, "".into());

    for test in tests {
        let input = Decimal::from_str(test).unwrap();
        let mut bytes = BytesMut::new();
        input.to_sql(&t, &mut bytes).unwrap();
        let output = Decimal::from_sql(&t, &bytes).unwrap();

        assert_eq!(input, output);
    }
}

fn hash_it(d: Decimal) -> u64 {
    use core::hash::{Hash, Hasher};
    use std::collections::hash_map::DefaultHasher;

    let mut h = DefaultHasher::new();
    d.hash(&mut h);
    h.finish()
}

#[test]
fn it_computes_equal_hashes_for_equal_values() {
    // From the Rust Hash docs:
    //
    // "When implementing both Hash and Eq, it is important that the following property holds:
    //
    //     k1 == k2 -> hash(k1) == hash(k2)"

    let k1 = Decimal::from_str("1").unwrap();
    let k2 = Decimal::from_str("1.0").unwrap();
    let k3 = Decimal::from_str("1.00").unwrap();
    let k4 = Decimal::from_str("1.01").unwrap();

    assert_eq!(k1, k2);
    assert_eq!(k1, k3);
    assert_ne!(k1, k4);

    let h1 = hash_it(k1);
    let h2 = hash_it(k2);
    let h3 = hash_it(k3);
    let h4 = hash_it(k4);

    assert_eq!(h1, h2);
    assert_eq!(h1, h3);
    assert_ne!(h1, h4);

    // Test the application of Hash calculation to a HashMap.

    let mut map = std::collections::HashMap::new();

    map.insert(k1, k1.to_string());
    // map[k2] should overwrite map[k1] because k1 == k2.
    map.insert(k2, k2.to_string());

    assert_eq!("1.0", map.get(&k3).expect("could not get k3"));
    assert_eq!(1, map.len());

    // map[k3] should overwrite map[k2] because k3 == k2.
    map.insert(k3, k3.to_string());
    // map[k4] should not overwrite map[k3] because k4 != k3.
    map.insert(k4, k4.to_string());

    assert_eq!(2, map.len());
    assert_eq!("1.00", map.get(&k1).expect("could not get k1"));
}

#[test]
fn it_computes_equal_hashes_for_positive_and_negative_zero() {
    // Verify 0 and -0 have the same hash
    let k1 = Decimal::from_str("0").unwrap();
    let k2 = Decimal::from_str("-0").unwrap();
    assert_eq!(k1, k2);
    let h1 = hash_it(k1);
    let h2 = hash_it(k2);
    assert_eq!(h1, h2);

    // Verify 0 and -0.0 have the same hash
    let k1 = Decimal::from_str("0").unwrap();
    let k2 = Decimal::from_str("-0.0").unwrap();
    assert_eq!(k1, k2);
    let h1 = hash_it(k1);
    let h2 = hash_it(k2);
    assert_eq!(h1, h2);
}

#[test]
#[should_panic(expected = "Number less than minimum value that can be represented.")]
fn it_handles_i128_min() {
    let _ = Decimal::from_i128_with_scale(i128::MIN, 0);
}

#[test]
fn it_handles_i128_min_safely() {
    let result = Decimal::try_from_i128_with_scale(i128::MIN, 0);
    assert!(result.is_err());
    assert_eq!(result.err().unwrap(), Error::LessThanMinimumPossibleValue);
}

#[test]
fn it_can_rescale() {
    let tests = &[
        ("0", 6, "0.000000"),
        ("0.000000", 2, "0.00"),
        ("0.12345600000", 6, "0.123456"),
        ("0.123456", 12, "0.123456000000"),
        ("0.123456", 0, "0"),
        ("0.000001", 4, "0.0000"),
        ("1233456", 4, "1233456.0000"),
        ("1.2", 30, "1.2000000000000000000000000000"),
        ("79228162514264337593543950335", 0, "79228162514264337593543950335"),
        ("4951760157141521099596496895", 1, "4951760157141521099596496895.0"),
        ("4951760157141521099596496896", 1, "4951760157141521099596496896.0"),
        ("18446744073709551615", 6, "18446744073709551615.000000"),
        ("-18446744073709551615", 6, "-18446744073709551615.000000"),
    ];

    for &(value_raw, new_scale, expected_value) in tests {
        let new_value = Decimal::from_str(expected_value).unwrap();
        let mut value = Decimal::from_str(value_raw).unwrap();
        value.rescale(new_scale);
        assert_eq!(new_value.to_string(), value.to_string());
    }
}

#[test]
fn test_constants() {
    assert_eq!("0", Decimal::ZERO.to_string());
    assert_eq!("1", Decimal::ONE.to_string());
    assert_eq!("-1", Decimal::NEGATIVE_ONE.to_string());
    assert_eq!("10", Decimal::TEN.to_string());
    assert_eq!("100", Decimal::ONE_HUNDRED.to_string());
    assert_eq!("1000", Decimal::ONE_THOUSAND.to_string());
    assert_eq!("2", Decimal::TWO.to_string());
}

// Mathematical features
#[cfg(feature = "maths")]
mod maths {
    use super::*;
    use rust_decimal::MathematicalOps;

    use num_traits::One;

    #[test]
    fn test_constants() {
        assert_eq!("3.1415926535897932384626433833", Decimal::PI.to_string());
        assert_eq!("6.2831853071795864769252867666", Decimal::TWO_PI.to_string());
        assert_eq!("1.5707963267948966192313216916", Decimal::HALF_PI.to_string());
        assert_eq!("2.7182818284590452353602874714", Decimal::E.to_string());
        assert_eq!("0.3678794411714423215955237702", Decimal::E_INVERSE.to_string());
    }

    #[test]
    fn test_powu() {
        let test_cases = &[
            // x, y, expected x ^ y
            ("4", 3_u64, "64"),
            ("3.222", 5_u64, "347.238347228449632"),
            ("0.1", 0_u64, "1"),
            ("342.4", 1_u64, "342.4"),
            ("2.0", 16_u64, "65536"),
        ];
        for &(x, y, expected) in test_cases {
            let x = Decimal::from_str(x).unwrap();
            let pow = x.powu(y);
            assert_eq!(pow.to_string(), expected, "{} ^ {}", x, y);
        }
    }

    #[test]
    #[should_panic(expected = "Pow overflowed")]
    fn test_powu_panic() {
        let two = Decimal::new(2, 0);
        let _ = two.powu(128);
    }

    #[test]
    fn test_checked_powu() {
        let test_cases = &[
            (Decimal::new(4, 0), 3_u64, Some(Decimal::new(64, 0))),
            (
                Decimal::from_str("3.222").unwrap(),
                5_u64,
                Some(Decimal::from_str("347.238347228449632").unwrap()),
            ),
            (
                Decimal::from_str("0.1").unwrap(),
                0_u64,
                Some(Decimal::from_str("1").unwrap()),
            ),
            (
                Decimal::from_str("342.4").unwrap(),
                1_u64,
                Some(Decimal::from_str("342.4").unwrap()),
            ),
            (
                Decimal::from_str("2.0").unwrap(),
                16_u64,
                Some(Decimal::from_str("65536").unwrap()),
            ),
            (Decimal::from_str("2.0").unwrap(), 128_u64, None),
        ];
        for case in test_cases {
            assert_eq!(case.2, case.0.checked_powu(case.1));
        }
    }

    #[test]
    fn test_powi() {
        let test_cases = &[
            // x, y, expected x ^ y
            ("0", 0, "1"),
            ("1", 0, "1"),
            ("0", 1, "0"),
            ("2", 3, "8"),
            ("-2", 3, "-8"),
            ("2", -3, "0.125"),
            ("-2", -3, "-0.125"),
            (
                "3",
                -3,
                either!("0.037037037037037037037037037", "0.0370370370370370370370370370"),
            ),
            ("6", 3, "216"),
            ("0.5", 2, "0.25"),
        ];
        for &(x, y, expected) in test_cases {
            let x = Decimal::from_str(x).unwrap();
            let pow = x.powi(y);
            assert_eq!(pow.to_string(), expected, "{} ^ {}", x, y);
        }
    }

    #[test]
    fn test_powd() {
        let test_cases = &[
            // x, y, expected x ^ y
            ("0", "0", "1"),
            ("1", "0", "1"),
            ("0", "1", "0"),
            ("2", "3", "8"),
            ("-2", "3", "-8"),
            ("2", "-3", "0.125"),
            ("-2", "-3", "-0.125"),
            ("2.0", "3.0", "8"),
            ("-2.0", "3.0", "-8"),
            ("2.0", "-3.0", "0.125"),
            ("-2.0", "-3.0", "-0.125"),
            ("2.00", "3.00", "8"),
            ("-2.00", "3.00", "-8"),
            ("2.00", "-3.00", "0.125"),
            ("-2.00", "-3.00", "-0.125"),
            (
                "3",
                "-3",
                either!("0.037037037037037037037037037", "0.0370370370370370370370370370"),
            ),
            ("6", "3", "216"),
            ("0.5", "2", "0.25"),
            ("6", "13", "13060694016"),
            // Exact result: 1 / 6^7
            ("6", "-7", "0.0000035722450845907636031093"),
            // ~= 0.8408964152537145
            (
                "0.5",
                "0.25",
                either!("0.8408964159265360661551317741", "0.8408964159265360661551317742"),
            ),
            // ~= 0.999999999999999999999999999790814
            (
                "0.1234567890123456789012345678",
                "0.0000000000000000000000000001",
                "0.9999999999999999999999999998",
            ),
            // ~= 611.0451043224257
            (
                "1234.5678",
                "0.9012",
                either!("611.04510415448740041442807964", "611.04510415448740041442807964"),
            ),
            (
                "-2",
                "0.5",
                either!("-1.4142135570048917090885260834", "-1.4142135570048917090885260835"),
            ),
            // ~= -1.1193003023312942
            (
                "-2.5",
                "0.123",
                either!("-1.1193002994383985239135362086", "-1.1193002994383985239135362086"),
            ),
            // ~= 0.0003493091
            (
                "0.0000000000000000000000000001",
                "0.1234567890123456789012345678",
                either!("0.0003533642875741443321850682", "0.0003305188683169079961720764"),
            ),
        ];
        for &(x, y, expected) in test_cases {
            let x = Decimal::from_str(x).unwrap();
            let y = Decimal::from_str(y).unwrap();
            let pow = x.powd(y);
            assert_eq!(pow.to_string(), expected, "{} ^ {}", x, y);
        }
    }

    #[test]
    fn test_sqrt() {
        let test_cases = &[
            ("4", "2"),
            ("3.222", "1.7949930361981909371487724124"),
            ("199.45", "14.122676800097069416754994263"),
            ("342.4", "18.504053609952604112132102540"),
            ("2", "1.414213562373095048801688724209698078569671875376948073176"),
            ("0.0000000000000000000000000001", "0.0000000000000100000000000000"),
        ];
        for case in test_cases {
            let a = Decimal::from_str(case.0).unwrap();
            let expected = Decimal::from_str(case.1).unwrap();
            assert_eq!(expected, a.sqrt().unwrap());
        }

        assert_eq!(Decimal::new(-2, 0).sqrt(), None);
    }

    #[cfg(not(feature = "legacy-ops"))]
    #[test]
    fn test_exp() {
        // These are approximations
        let test_cases = &[
            // e^10 ~= 22026.465794806703
            ("10", "22026.416157416030662013737698"),
            // e^11 ~= 59874.14171519778
            ("11", "59873.388231055804982198781924"),
            // e^3 ~= 20.085536923187664
            ("3", "20.085536911963143539758560764"),
            // e^8 ~= 2980.957987041727
            ("8", "2980.9578998304103856663509017"),
            // e^0.1 ~= 1.1051709180756477
            ("0.1", "1.1051709166666666666666666667"),
            // e^2.0 ~= 7.3890560989306495
            ("2.0", "7.3890560703259115957528655940"),
            // e^-2 ~= 0.1353352832366127
            ("-2", "0.1353352837605267572029589224"),
            // e^-1 ~= 0.36787944117144233
            ("-1", "0.3678794414773748171422559335"),
            // e^0.123456789 ~= 1.131401115
            ("0.123456789", "1.1314011144241455834073838005"),
            // e^0.123456789123456789123456789 ~= 1.131401114651912752617990081
            ("0.123456789123456789123456789", "1.1314011145638247316063947842"),
        ];
        for &(x, expected) in test_cases {
            let x = Decimal::from_str(x).unwrap();
            let expected = Decimal::from_str(expected).unwrap();
            assert_eq!(expected, x.exp());
            assert_eq!(Some(expected), x.checked_exp());
        }
    }

    #[cfg(not(feature = "legacy-ops"))]
    #[test]
    fn test_exp_with_tolerance() {
        let test_cases = &[
            // e^0 = 1
            ("0", "0.0002", "1"),
            // e^1 ~= 2.7182539682539682539682539683
            ("1", "0.0002", "2.7182539682539682539682539683"),
            // e^10 ~= 22026.465794806703
            (
                "10",
                "0.02",
                either!("22026.416157416030662013737698", "22026.416157416030662013737699"),
            ),
            // e^11 ~= 59874.14171519778
            ("11", "0.0002", "59873.388231055804982198781924"),
            // e^11.7578 ~= 127741.03548949540892948423052
            ("11.7578", "0.0002", "127741.03548949540892948423052"),
            // e^3 ~= 20.085536923187664
            ("3", "0.00002", "20.085534430970814899386327955"),
            // e^8 ~= 2980.957987041727
            ("8", "0.0002", "2980.9578998304103856663509017"),
            // e^0.1 ~= 1.1051709180756477
            ("0.1", "0.0002", "1.1051666666666666666666666667"),
            // e^2.0 ~= 7.3890560989306495
            ("2.0", "0.0002", "7.3890460157126823793490460156"),
            // e^11.7578+ starts to overflow
            ("11.7579", "0.0002", ""),
            // e^11.7578+ starts to overflow
            ("123", "0.0002", ""),
            // e^-8+ starts to underflow
            ("-8", "0.0002", "0.0003354626377168530220952633"),
            // e^-9 continues to converge towards zero
            ("-9", "0.0002", "0.0001234098417553083895710102"),
            // e^-11 continues to converge towards zero
            ("-11", "0.0002", "0.0000167019109748879838728391"),
            // e^11.7579 has underflowed (by overflowing)
            ("-11.7579", "0.0002", ""),
            // e^-1024 has fully underflowed (by overflowing)
            ("-1024", "0.0002", ""),
        ];
        for &(x, tolerance, expected) in test_cases {
            let x = Decimal::from_str(x).unwrap();
            let tolerance = Decimal::from_str(tolerance).unwrap();
            let expected = if expected.is_empty() {
                None
            } else {
                Some(Decimal::from_str(expected).unwrap())
            };

            if let Some(expected) = expected {
                assert_eq!(expected, x.exp_with_tolerance(tolerance));
                assert_eq!(Some(expected), x.checked_exp_with_tolerance(tolerance));
            } else {
                assert_eq!(None, x.checked_exp_with_tolerance(tolerance));
            }
        }
    }

    #[test]
    #[should_panic(expected = "Exp overflowed")]
    fn test_exp_expected_panic_from_overflow() {
        let d = Decimal::from_str("1024").unwrap();
        let _ = d.exp();
    }

    #[test]
    #[should_panic(expected = "Exp underflowed")]
    fn test_exp_expected_panic_from_underflow() {
        let d = Decimal::from_str("-1024").unwrap();
        let _ = d.exp();
    }

    #[test]
    fn test_norm_cdf() {
        let test_cases = &[
            (
                Decimal::from_str("-0.4").unwrap(),
                either!(
                    Decimal::from_str("0.3445781286821245037094401704").unwrap(),
                    Decimal::from_str("0.3445781286821245037094401728").unwrap()
                ),
            ),
            (
                Decimal::from_str("-0.1").unwrap(),
                either!(
                    Decimal::from_str("0.4601722899186706579921922696").unwrap(),
                    Decimal::from_str("0.4601722899186706579921922711").unwrap()
                ),
            ),
            (
                Decimal::from_str("0.1").unwrap(),
                Decimal::from_str(either!(
                    "0.5398277100813293420078077304",
                    "0.5398277100813293420078077290"
                ))
                .unwrap(),
            ),
            (
                Decimal::from_str("0.4").unwrap(),
                either!(
                    Decimal::from_str("0.6554218713178754962905598296").unwrap(),
                    Decimal::from_str("0.6554218713178754962905598272").unwrap()
                ),
            ),
            (
                Decimal::from_str("2.0").unwrap(),
                either!(
                    Decimal::from_str("0.9772497381095865280953380673").unwrap(),
                    Decimal::from_str("0.9772497381095865280953380672").unwrap()
                ),
            ),
        ];
        for case in test_cases {
            assert_eq!(case.1, case.0.norm_cdf());
        }
    }

    #[test]
    fn test_norm_pdf() {
        let test_cases = &[
            (
                Decimal::from_str("-2.0").unwrap(),
                Decimal::from_str("0.0539909667221995238993056051").unwrap(),
            ),
            (
                Decimal::from_str("-0.4").unwrap(),
                Decimal::from_str("0.3682701404285264134348468378").unwrap(),
            ),
            (
                Decimal::from_str("-0.1").unwrap(),
                Decimal::from_str("0.3969525474873078082322691394").unwrap(),
            ),
            (
                Decimal::from_str("0.1").unwrap(),
                Decimal::from_str("0.3969525474873078082322691394").unwrap(),
            ),
            (
                Decimal::from_str("0.4").unwrap(),
                Decimal::from_str("0.3682701404285264134348468378").unwrap(),
            ),
            (
                Decimal::from_str("2.0").unwrap(),
                Decimal::from_str("0.0539909667221995238993056051").unwrap(),
            ),
        ];
        for case in test_cases {
            assert_eq!(case.1, case.0.norm_pdf());
        }
    }

    #[test]
    fn test_ln() {
        let test_cases = [
            ("1", "0"),
            // Wolfram Alpha gives -1.46968
            (
                "0.23",
                either!("-1.4696759700589416772292300779", "-1.4696759700589416772292300777"),
            ),
            // Wolfram Alpha gives 0.693147180559945309417232121458176568075500134360255254120
            ("2", "0.6931471805599453094172321218"),
            // Wolfram Alpha gives 3.218875824868200749201518666452375279051202708537035443825
            (
                "25",
                either!("3.2188758248682007492015186670", "3.2188758248682007492015186674"),
            ),
            // Wolfram Alpha gives 0.210721022
            (
                "1.234567890",
                either!("0.2107210222156525610500017104", "0.2107210222156525610500017106"),
            ),
        ];

        for (input, expected) in test_cases {
            let input = Decimal::from_str(input).unwrap();
            let expected = Decimal::from_str(expected).unwrap();
            assert_eq!(expected, input.ln(), "Failed to calculate ln({})", input);
        }
    }

    #[test]
    #[cfg(feature = "maths-nopanic")]
    fn test_invalid_ln_nopanic() {
        let test_cases = ["0", "-2.0"];

        for input in test_cases {
            let input = Decimal::from_str(input).unwrap();
            assert_eq!("0", input.ln().to_string(), "Failed to calculate ln({})", input);
        }
    }

    #[test]
    #[should_panic(expected = "Unable to calculate ln for zero")]
    #[cfg(not(feature = "maths-nopanic"))]
    fn test_invalid_ln_zero_panic() {
        let _ = Decimal::ZERO.ln();
    }

    #[test]
    #[should_panic(expected = "Unable to calculate ln for negative numbers")]
    #[cfg(not(feature = "maths-nopanic"))]
    fn test_invalid_ln_negative_panic() {
        let _ = Decimal::NEGATIVE_ONE.ln();
    }

    #[test]
    fn test_log10() {
        let test_cases = [
            ("1", "0"),
            // Wolfram Alpha: 0.3010299956639811952137388947
            (
                "2",
                either!("0.3010299956639811952137388949", "0.3010299956639811952137388948"),
            ),
            // Wolfram Alpha: 0.0915149772
            (
                "1.234567890",
                either!("0.0915149771692704475183336230", "0.0915149771692704475183336231"),
            ),
            ("10", "1"),
            ("100", "2"),
            ("1000", "3"),
            ("1000.00000000", "3"),
            ("1000.000000000000000000000", "3"),
            ("10.000000000000000000000000000", "1"),
            ("100000000000000.0000000000", "14"),
        ];

        for (input, expected) in test_cases {
            let input = Decimal::from_str(input).unwrap();
            let expected = Decimal::from_str(expected).unwrap();
            assert_eq!(expected, input.log10(), "Failed to calculate log10({})", input);
        }
    }

    #[test]
    #[cfg(feature = "maths-nopanic")]
    fn test_invalid_log10_nopanic() {
        let test_cases = ["0", "-2.0"];

        for input in test_cases {
            let input = Decimal::from_str(input).unwrap();
            assert_eq!("0", input.log10().to_string(), "Failed to calculate ln({})", input);
        }
    }

    #[test]
    #[should_panic(expected = "Unable to calculate log10 for zero")]
    #[cfg(not(feature = "maths-nopanic"))]
    fn test_invalid_log10_zero_panic() {
        let _ = Decimal::ZERO.log10();
    }

    #[test]
    #[should_panic(expected = "Unable to calculate log10 for negative numbers")]
    #[cfg(not(feature = "maths-nopanic"))]
    fn test_invalid_log10_negative_panic() {
        let _ = Decimal::NEGATIVE_ONE.log10();
    }

    #[test]
    fn test_erf() {
        let test_cases = &[
            (
                Decimal::from_str("-2.0").unwrap(),
                // Wolfram give -0.9953222650189527
                Decimal::from_str("-0.9953225170750043399400930073").unwrap(),
            ),
            (
                Decimal::from_str("-0.4").unwrap(),
                Decimal::from_str("-0.4283924127205154977961931420").unwrap(),
            ),
            (
                Decimal::from_str("0.4").unwrap(),
                Decimal::from_str("0.4283924127205154977961931420").unwrap(),
            ),
            (
                Decimal::one(),
                Decimal::from_str("0.8427010463338918630217928957").unwrap(),
            ),
            (
                Decimal::from_str("2").unwrap(),
                Decimal::from_str("0.9953225170750043399400930073").unwrap(),
            ),
        ];
        for case in test_cases {
            assert_eq!(case.1, case.0.erf());
        }
    }
}

// Generated tests
#[cfg(not(feature = "legacy-ops"))]
mod generated {
    use rust_decimal::prelude::*;

    macro_rules! gen_test {
        ($name:ident, $csv:expr, $method:tt) => {
            #[test]
            fn $name() {
                let path = std::env::current_dir().unwrap();
                let mut rdr = csv::Reader::from_reader(
                    std::fs::File::open(format!("{}/tests/generated/{}", path.display(), $csv)).unwrap(),
                );
                let mut row = 0;
                for result in rdr.records() {
                    let record = result.unwrap();
                    row += 1;

                    // Extract the data
                    let d1 = record.get(0).unwrap();
                    let d2 = record.get(1).unwrap();
                    let result = record.get(2).unwrap();
                    let error = record.get(3).unwrap();

                    // Do the calc
                    let d1 = Decimal::from_str(&d1).unwrap();
                    let d2 = Decimal::from_str(&d2).unwrap();
                    let expected = Decimal::from_str(&result).unwrap();
                    match d1.$method(d2) {
                        Some(v) => assert_eq!(expected, v, "Row {}", row),
                        None => assert!(!error.is_empty()),
                    }
                }
            }
        };
    }

    gen_test!(test_add_000_001, "Add_000_001.csv", checked_add);
    gen_test!(test_add_000_010, "Add_000_010.csv", checked_add);
    gen_test!(test_add_000_011, "Add_000_011.csv", checked_add);
    gen_test!(test_add_000_100, "Add_000_100.csv", checked_add);
    gen_test!(test_add_000_101, "Add_000_101.csv", checked_add);
    gen_test!(test_add_000_110, "Add_000_110.csv", checked_add);
    gen_test!(test_add_000_111, "Add_000_111.csv", checked_add);
    gen_test!(test_add_001_000, "Add_001_000.csv", checked_add);
    gen_test!(test_add_001_001, "Add_001_001.csv", checked_add);
    gen_test!(test_add_001_010, "Add_001_010.csv", checked_add);
    gen_test!(test_add_001_011, "Add_001_011.csv", checked_add);
    gen_test!(test_add_001_100, "Add_001_100.csv", checked_add);
    gen_test!(test_add_001_101, "Add_001_101.csv", checked_add);
    gen_test!(test_add_001_110, "Add_001_110.csv", checked_add);
    gen_test!(test_add_001_111, "Add_001_111.csv", checked_add);
    gen_test!(test_add_010_000, "Add_010_000.csv", checked_add);
    gen_test!(test_add_010_001, "Add_010_001.csv", checked_add);
    gen_test!(test_add_010_010, "Add_010_010.csv", checked_add);
    gen_test!(test_add_010_011, "Add_010_011.csv", checked_add);
    gen_test!(test_add_010_100, "Add_010_100.csv", checked_add);
    gen_test!(test_add_010_101, "Add_010_101.csv", checked_add);
    gen_test!(test_add_010_110, "Add_010_110.csv", checked_add);
    gen_test!(test_add_010_111, "Add_010_111.csv", checked_add);
    gen_test!(test_add_011_000, "Add_011_000.csv", checked_add);
    gen_test!(test_add_011_001, "Add_011_001.csv", checked_add);
    gen_test!(test_add_011_010, "Add_011_010.csv", checked_add);
    gen_test!(test_add_011_011, "Add_011_011.csv", checked_add);
    gen_test!(test_add_011_100, "Add_011_100.csv", checked_add);
    gen_test!(test_add_011_101, "Add_011_101.csv", checked_add);
    gen_test!(test_add_011_110, "Add_011_110.csv", checked_add);
    gen_test!(test_add_011_111, "Add_011_111.csv", checked_add);
    gen_test!(test_add_100_000, "Add_100_000.csv", checked_add);
    gen_test!(test_add_100_001, "Add_100_001.csv", checked_add);
    gen_test!(test_add_100_010, "Add_100_010.csv", checked_add);
    gen_test!(test_add_100_011, "Add_100_011.csv", checked_add);
    gen_test!(test_add_100_100, "Add_100_100.csv", checked_add);
    gen_test!(test_add_100_101, "Add_100_101.csv", checked_add);
    gen_test!(test_add_100_110, "Add_100_110.csv", checked_add);
    gen_test!(test_add_100_111, "Add_100_111.csv", checked_add);
    gen_test!(test_add_101_000, "Add_101_000.csv", checked_add);
    gen_test!(test_add_101_001, "Add_101_001.csv", checked_add);
    gen_test!(test_add_101_010, "Add_101_010.csv", checked_add);
    gen_test!(test_add_101_011, "Add_101_011.csv", checked_add);
    gen_test!(test_add_101_100, "Add_101_100.csv", checked_add);
    gen_test!(test_add_101_101, "Add_101_101.csv", checked_add);
    gen_test!(test_add_101_110, "Add_101_110.csv", checked_add);
    gen_test!(test_add_101_111, "Add_101_111.csv", checked_add);
    gen_test!(test_add_110_000, "Add_110_000.csv", checked_add);
    gen_test!(test_add_110_001, "Add_110_001.csv", checked_add);
    gen_test!(test_add_110_010, "Add_110_010.csv", checked_add);
    gen_test!(test_add_110_011, "Add_110_011.csv", checked_add);
    gen_test!(test_add_110_100, "Add_110_100.csv", checked_add);
    gen_test!(test_add_110_101, "Add_110_101.csv", checked_add);
    gen_test!(test_add_110_110, "Add_110_110.csv", checked_add);
    gen_test!(test_add_110_111, "Add_110_111.csv", checked_add);
    gen_test!(test_add_111_000, "Add_111_000.csv", checked_add);
    gen_test!(test_add_111_001, "Add_111_001.csv", checked_add);
    gen_test!(test_add_111_010, "Add_111_010.csv", checked_add);
    gen_test!(test_add_111_011, "Add_111_011.csv", checked_add);
    gen_test!(test_add_111_100, "Add_111_100.csv", checked_add);
    gen_test!(test_add_111_101, "Add_111_101.csv", checked_add);
    gen_test!(test_add_111_110, "Add_111_110.csv", checked_add);
    gen_test!(test_add_111_111, "Add_111_111.csv", checked_add);

    gen_test!(test_div_000_001, "Div_000_001.csv", checked_div);
    gen_test!(test_div_000_010, "Div_000_010.csv", checked_div);
    gen_test!(test_div_000_011, "Div_000_011.csv", checked_div);
    gen_test!(test_div_000_100, "Div_000_100.csv", checked_div);
    gen_test!(test_div_000_101, "Div_000_101.csv", checked_div);
    gen_test!(test_div_000_110, "Div_000_110.csv", checked_div);
    gen_test!(test_div_000_111, "Div_000_111.csv", checked_div);
    gen_test!(test_div_001_000, "Div_001_000.csv", checked_div);
    gen_test!(test_div_001_001, "Div_001_001.csv", checked_div);
    gen_test!(test_div_001_010, "Div_001_010.csv", checked_div);
    gen_test!(test_div_001_011, "Div_001_011.csv", checked_div);
    gen_test!(test_div_001_100, "Div_001_100.csv", checked_div);
    gen_test!(test_div_001_101, "Div_001_101.csv", checked_div);
    gen_test!(test_div_001_110, "Div_001_110.csv", checked_div);
    gen_test!(test_div_001_111, "Div_001_111.csv", checked_div);
    gen_test!(test_div_010_000, "Div_010_000.csv", checked_div);
    gen_test!(test_div_010_001, "Div_010_001.csv", checked_div);
    gen_test!(test_div_010_010, "Div_010_010.csv", checked_div);
    gen_test!(test_div_010_011, "Div_010_011.csv", checked_div);
    gen_test!(test_div_010_100, "Div_010_100.csv", checked_div);
    gen_test!(test_div_010_101, "Div_010_101.csv", checked_div);
    gen_test!(test_div_010_110, "Div_010_110.csv", checked_div);
    gen_test!(test_div_010_111, "Div_010_111.csv", checked_div);
    gen_test!(test_div_011_000, "Div_011_000.csv", checked_div);
    gen_test!(test_div_011_001, "Div_011_001.csv", checked_div);
    gen_test!(test_div_011_010, "Div_011_010.csv", checked_div);
    gen_test!(test_div_011_011, "Div_011_011.csv", checked_div);
    gen_test!(test_div_011_100, "Div_011_100.csv", checked_div);
    gen_test!(test_div_011_101, "Div_011_101.csv", checked_div);
    gen_test!(test_div_011_110, "Div_011_110.csv", checked_div);
    gen_test!(test_div_011_111, "Div_011_111.csv", checked_div);
    gen_test!(test_div_100_000, "Div_100_000.csv", checked_div);
    gen_test!(test_div_100_001, "Div_100_001.csv", checked_div);
    gen_test!(test_div_100_010, "Div_100_010.csv", checked_div);
    gen_test!(test_div_100_011, "Div_100_011.csv", checked_div);
    gen_test!(test_div_100_100, "Div_100_100.csv", checked_div);
    gen_test!(test_div_100_101, "Div_100_101.csv", checked_div);
    gen_test!(test_div_100_110, "Div_100_110.csv", checked_div);
    gen_test!(test_div_100_111, "Div_100_111.csv", checked_div);
    gen_test!(test_div_101_000, "Div_101_000.csv", checked_div);
    gen_test!(test_div_101_001, "Div_101_001.csv", checked_div);
    gen_test!(test_div_101_010, "Div_101_010.csv", checked_div);
    gen_test!(test_div_101_011, "Div_101_011.csv", checked_div);
    gen_test!(test_div_101_100, "Div_101_100.csv", checked_div);
    gen_test!(test_div_101_101, "Div_101_101.csv", checked_div);
    gen_test!(test_div_101_110, "Div_101_110.csv", checked_div);
    gen_test!(test_div_101_111, "Div_101_111.csv", checked_div);
    gen_test!(test_div_110_000, "Div_110_000.csv", checked_div);
    gen_test!(test_div_110_001, "Div_110_001.csv", checked_div);
    gen_test!(test_div_110_010, "Div_110_010.csv", checked_div);
    gen_test!(test_div_110_011, "Div_110_011.csv", checked_div);
    gen_test!(test_div_110_100, "Div_110_100.csv", checked_div);
    gen_test!(test_div_110_101, "Div_110_101.csv", checked_div);
    gen_test!(test_div_110_110, "Div_110_110.csv", checked_div);
    gen_test!(test_div_110_111, "Div_110_111.csv", checked_div);
    gen_test!(test_div_111_000, "Div_111_000.csv", checked_div);
    gen_test!(test_div_111_001, "Div_111_001.csv", checked_div);
    gen_test!(test_div_111_010, "Div_111_010.csv", checked_div);
    gen_test!(test_div_111_011, "Div_111_011.csv", checked_div);
    gen_test!(test_div_111_100, "Div_111_100.csv", checked_div);
    gen_test!(test_div_111_101, "Div_111_101.csv", checked_div);
    gen_test!(test_div_111_110, "Div_111_110.csv", checked_div);
    gen_test!(test_div_111_111, "Div_111_111.csv", checked_div);

    gen_test!(test_mul_000_001, "Mul_000_001.csv", checked_mul);
    gen_test!(test_mul_000_010, "Mul_000_010.csv", checked_mul);
    gen_test!(test_mul_000_011, "Mul_000_011.csv", checked_mul);
    gen_test!(test_mul_000_100, "Mul_000_100.csv", checked_mul);
    gen_test!(test_mul_000_101, "Mul_000_101.csv", checked_mul);
    gen_test!(test_mul_000_110, "Mul_000_110.csv", checked_mul);
    gen_test!(test_mul_000_111, "Mul_000_111.csv", checked_mul);
    gen_test!(test_mul_001_000, "Mul_001_000.csv", checked_mul);
    gen_test!(test_mul_001_001, "Mul_001_001.csv", checked_mul);
    gen_test!(test_mul_001_010, "Mul_001_010.csv", checked_mul);
    gen_test!(test_mul_001_011, "Mul_001_011.csv", checked_mul);
    gen_test!(test_mul_001_100, "Mul_001_100.csv", checked_mul);
    gen_test!(test_mul_001_101, "Mul_001_101.csv", checked_mul);
    gen_test!(test_mul_001_110, "Mul_001_110.csv", checked_mul);
    gen_test!(test_mul_001_111, "Mul_001_111.csv", checked_mul);
    gen_test!(test_mul_010_000, "Mul_010_000.csv", checked_mul);
    gen_test!(test_mul_010_001, "Mul_010_001.csv", checked_mul);
    gen_test!(test_mul_010_010, "Mul_010_010.csv", checked_mul);
    gen_test!(test_mul_010_011, "Mul_010_011.csv", checked_mul);
    gen_test!(test_mul_010_100, "Mul_010_100.csv", checked_mul);
    gen_test!(test_mul_010_101, "Mul_010_101.csv", checked_mul);
    gen_test!(test_mul_010_110, "Mul_010_110.csv", checked_mul);
    gen_test!(test_mul_010_111, "Mul_010_111.csv", checked_mul);
    gen_test!(test_mul_011_000, "Mul_011_000.csv", checked_mul);
    gen_test!(test_mul_011_001, "Mul_011_001.csv", checked_mul);
    gen_test!(test_mul_011_010, "Mul_011_010.csv", checked_mul);
    gen_test!(test_mul_011_011, "Mul_011_011.csv", checked_mul);
    gen_test!(test_mul_011_100, "Mul_011_100.csv", checked_mul);
    gen_test!(test_mul_011_101, "Mul_011_101.csv", checked_mul);
    gen_test!(test_mul_011_110, "Mul_011_110.csv", checked_mul);
    gen_test!(test_mul_011_111, "Mul_011_111.csv", checked_mul);
    gen_test!(test_mul_100_000, "Mul_100_000.csv", checked_mul);
    gen_test!(test_mul_100_001, "Mul_100_001.csv", checked_mul);
    gen_test!(test_mul_100_010, "Mul_100_010.csv", checked_mul);
    gen_test!(test_mul_100_011, "Mul_100_011.csv", checked_mul);
    gen_test!(test_mul_100_100, "Mul_100_100.csv", checked_mul);
    gen_test!(test_mul_100_101, "Mul_100_101.csv", checked_mul);
    gen_test!(test_mul_100_110, "Mul_100_110.csv", checked_mul);
    gen_test!(test_mul_100_111, "Mul_100_111.csv", checked_mul);
    gen_test!(test_mul_101_000, "Mul_101_000.csv", checked_mul);
    gen_test!(test_mul_101_001, "Mul_101_001.csv", checked_mul);
    gen_test!(test_mul_101_010, "Mul_101_010.csv", checked_mul);
    gen_test!(test_mul_101_011, "Mul_101_011.csv", checked_mul);
    gen_test!(test_mul_101_100, "Mul_101_100.csv", checked_mul);
    gen_test!(test_mul_101_101, "Mul_101_101.csv", checked_mul);
    gen_test!(test_mul_101_110, "Mul_101_110.csv", checked_mul);
    gen_test!(test_mul_101_111, "Mul_101_111.csv", checked_mul);
    gen_test!(test_mul_110_000, "Mul_110_000.csv", checked_mul);
    gen_test!(test_mul_110_001, "Mul_110_001.csv", checked_mul);
    gen_test!(test_mul_110_010, "Mul_110_010.csv", checked_mul);
    gen_test!(test_mul_110_011, "Mul_110_011.csv", checked_mul);
    gen_test!(test_mul_110_100, "Mul_110_100.csv", checked_mul);
    gen_test!(test_mul_110_101, "Mul_110_101.csv", checked_mul);
    gen_test!(test_mul_110_110, "Mul_110_110.csv", checked_mul);
    gen_test!(test_mul_110_111, "Mul_110_111.csv", checked_mul);
    gen_test!(test_mul_111_000, "Mul_111_000.csv", checked_mul);
    gen_test!(test_mul_111_001, "Mul_111_001.csv", checked_mul);
    gen_test!(test_mul_111_010, "Mul_111_010.csv", checked_mul);
    gen_test!(test_mul_111_011, "Mul_111_011.csv", checked_mul);
    gen_test!(test_mul_111_100, "Mul_111_100.csv", checked_mul);
    gen_test!(test_mul_111_101, "Mul_111_101.csv", checked_mul);
    gen_test!(test_mul_111_110, "Mul_111_110.csv", checked_mul);
    gen_test!(test_mul_111_111, "Mul_111_111.csv", checked_mul);

    gen_test!(test_rem_000_001, "Rem_000_001.csv", checked_rem);
    gen_test!(test_rem_000_010, "Rem_000_010.csv", checked_rem);
    gen_test!(test_rem_000_011, "Rem_000_011.csv", checked_rem);
    gen_test!(test_rem_000_100, "Rem_000_100.csv", checked_rem);
    gen_test!(test_rem_000_101, "Rem_000_101.csv", checked_rem);
    gen_test!(test_rem_000_110, "Rem_000_110.csv", checked_rem);
    gen_test!(test_rem_000_111, "Rem_000_111.csv", checked_rem);
    gen_test!(test_rem_001_000, "Rem_001_000.csv", checked_rem);
    gen_test!(test_rem_001_001, "Rem_001_001.csv", checked_rem);
    gen_test!(test_rem_001_010, "Rem_001_010.csv", checked_rem);
    gen_test!(test_rem_001_011, "Rem_001_011.csv", checked_rem);
    gen_test!(test_rem_001_100, "Rem_001_100.csv", checked_rem);
    gen_test!(test_rem_001_101, "Rem_001_101.csv", checked_rem);
    gen_test!(test_rem_001_110, "Rem_001_110.csv", checked_rem);
    gen_test!(test_rem_001_111, "Rem_001_111.csv", checked_rem);
    gen_test!(test_rem_010_000, "Rem_010_000.csv", checked_rem);
    gen_test!(test_rem_010_001, "Rem_010_001.csv", checked_rem);
    gen_test!(test_rem_010_010, "Rem_010_010.csv", checked_rem);
    gen_test!(test_rem_010_011, "Rem_010_011.csv", checked_rem);
    gen_test!(test_rem_010_100, "Rem_010_100.csv", checked_rem);
    gen_test!(test_rem_010_101, "Rem_010_101.csv", checked_rem);
    gen_test!(test_rem_010_110, "Rem_010_110.csv", checked_rem);
    gen_test!(test_rem_010_111, "Rem_010_111.csv", checked_rem);
    gen_test!(test_rem_011_000, "Rem_011_000.csv", checked_rem);
    gen_test!(test_rem_011_001, "Rem_011_001.csv", checked_rem);
    gen_test!(test_rem_011_010, "Rem_011_010.csv", checked_rem);
    gen_test!(test_rem_011_011, "Rem_011_011.csv", checked_rem);
    gen_test!(test_rem_011_100, "Rem_011_100.csv", checked_rem);
    gen_test!(test_rem_011_101, "Rem_011_101.csv", checked_rem);
    gen_test!(test_rem_011_110, "Rem_011_110.csv", checked_rem);
    gen_test!(test_rem_011_111, "Rem_011_111.csv", checked_rem);
    gen_test!(test_rem_100_000, "Rem_100_000.csv", checked_rem);
    gen_test!(test_rem_100_001, "Rem_100_001.csv", checked_rem);
    gen_test!(test_rem_100_010, "Rem_100_010.csv", checked_rem);
    gen_test!(test_rem_100_011, "Rem_100_011.csv", checked_rem);
    gen_test!(test_rem_100_100, "Rem_100_100.csv", checked_rem);
    gen_test!(test_rem_100_101, "Rem_100_101.csv", checked_rem);
    gen_test!(test_rem_100_110, "Rem_100_110.csv", checked_rem);
    gen_test!(test_rem_100_111, "Rem_100_111.csv", checked_rem);
    gen_test!(test_rem_101_000, "Rem_101_000.csv", checked_rem);
    gen_test!(test_rem_101_001, "Rem_101_001.csv", checked_rem);
    gen_test!(test_rem_101_010, "Rem_101_010.csv", checked_rem);
    gen_test!(test_rem_101_011, "Rem_101_011.csv", checked_rem);
    gen_test!(test_rem_101_100, "Rem_101_100.csv", checked_rem);
    gen_test!(test_rem_101_101, "Rem_101_101.csv", checked_rem);
    gen_test!(test_rem_101_110, "Rem_101_110.csv", checked_rem);
    gen_test!(test_rem_101_111, "Rem_101_111.csv", checked_rem);
    gen_test!(test_rem_110_000, "Rem_110_000.csv", checked_rem);
    gen_test!(test_rem_110_001, "Rem_110_001.csv", checked_rem);
    gen_test!(test_rem_110_010, "Rem_110_010.csv", checked_rem);
    gen_test!(test_rem_110_011, "Rem_110_011.csv", checked_rem);
    gen_test!(test_rem_110_100, "Rem_110_100.csv", checked_rem);
    gen_test!(test_rem_110_101, "Rem_110_101.csv", checked_rem);
    gen_test!(test_rem_110_110, "Rem_110_110.csv", checked_rem);
    gen_test!(test_rem_110_111, "Rem_110_111.csv", checked_rem);
    gen_test!(test_rem_111_000, "Rem_111_000.csv", checked_rem);
    gen_test!(test_rem_111_001, "Rem_111_001.csv", checked_rem);
    gen_test!(test_rem_111_010, "Rem_111_010.csv", checked_rem);
    gen_test!(test_rem_111_011, "Rem_111_011.csv", checked_rem);
    gen_test!(test_rem_111_100, "Rem_111_100.csv", checked_rem);
    gen_test!(test_rem_111_101, "Rem_111_101.csv", checked_rem);
    gen_test!(test_rem_111_110, "Rem_111_110.csv", checked_rem);
    gen_test!(test_rem_111_111, "Rem_111_111.csv", checked_rem);

    gen_test!(test_sub_000_001, "Sub_000_001.csv", checked_sub);
    gen_test!(test_sub_000_010, "Sub_000_010.csv", checked_sub);
    gen_test!(test_sub_000_011, "Sub_000_011.csv", checked_sub);
    gen_test!(test_sub_000_100, "Sub_000_100.csv", checked_sub);
    gen_test!(test_sub_000_101, "Sub_000_101.csv", checked_sub);
    gen_test!(test_sub_000_110, "Sub_000_110.csv", checked_sub);
    gen_test!(test_sub_000_111, "Sub_000_111.csv", checked_sub);
    gen_test!(test_sub_001_000, "Sub_001_000.csv", checked_sub);
    gen_test!(test_sub_001_001, "Sub_001_001.csv", checked_sub);
    gen_test!(test_sub_001_010, "Sub_001_010.csv", checked_sub);
    gen_test!(test_sub_001_011, "Sub_001_011.csv", checked_sub);
    gen_test!(test_sub_001_100, "Sub_001_100.csv", checked_sub);
    gen_test!(test_sub_001_101, "Sub_001_101.csv", checked_sub);
    gen_test!(test_sub_001_110, "Sub_001_110.csv", checked_sub);
    gen_test!(test_sub_001_111, "Sub_001_111.csv", checked_sub);
    gen_test!(test_sub_010_000, "Sub_010_000.csv", checked_sub);
    gen_test!(test_sub_010_001, "Sub_010_001.csv", checked_sub);
    gen_test!(test_sub_010_010, "Sub_010_010.csv", checked_sub);
    gen_test!(test_sub_010_011, "Sub_010_011.csv", checked_sub);
    gen_test!(test_sub_010_100, "Sub_010_100.csv", checked_sub);
    gen_test!(test_sub_010_101, "Sub_010_101.csv", checked_sub);
    gen_test!(test_sub_010_110, "Sub_010_110.csv", checked_sub);
    gen_test!(test_sub_010_111, "Sub_010_111.csv", checked_sub);
    gen_test!(test_sub_011_000, "Sub_011_000.csv", checked_sub);
    gen_test!(test_sub_011_001, "Sub_011_001.csv", checked_sub);
    gen_test!(test_sub_011_010, "Sub_011_010.csv", checked_sub);
    gen_test!(test_sub_011_011, "Sub_011_011.csv", checked_sub);
    gen_test!(test_sub_011_100, "Sub_011_100.csv", checked_sub);
    gen_test!(test_sub_011_101, "Sub_011_101.csv", checked_sub);
    gen_test!(test_sub_011_110, "Sub_011_110.csv", checked_sub);
    gen_test!(test_sub_011_111, "Sub_011_111.csv", checked_sub);
    gen_test!(test_sub_100_000, "Sub_100_000.csv", checked_sub);
    gen_test!(test_sub_100_001, "Sub_100_001.csv", checked_sub);
    gen_test!(test_sub_100_010, "Sub_100_010.csv", checked_sub);
    gen_test!(test_sub_100_011, "Sub_100_011.csv", checked_sub);
    gen_test!(test_sub_100_100, "Sub_100_100.csv", checked_sub);
    gen_test!(test_sub_100_101, "Sub_100_101.csv", checked_sub);
    gen_test!(test_sub_100_110, "Sub_100_110.csv", checked_sub);
    gen_test!(test_sub_100_111, "Sub_100_111.csv", checked_sub);
    gen_test!(test_sub_101_000, "Sub_101_000.csv", checked_sub);
    gen_test!(test_sub_101_001, "Sub_101_001.csv", checked_sub);
    gen_test!(test_sub_101_010, "Sub_101_010.csv", checked_sub);
    gen_test!(test_sub_101_011, "Sub_101_011.csv", checked_sub);
    gen_test!(test_sub_101_100, "Sub_101_100.csv", checked_sub);
    gen_test!(test_sub_101_101, "Sub_101_101.csv", checked_sub);
    gen_test!(test_sub_101_110, "Sub_101_110.csv", checked_sub);
    gen_test!(test_sub_101_111, "Sub_101_111.csv", checked_sub);
    gen_test!(test_sub_110_000, "Sub_110_000.csv", checked_sub);
    gen_test!(test_sub_110_001, "Sub_110_001.csv", checked_sub);
    gen_test!(test_sub_110_010, "Sub_110_010.csv", checked_sub);
    gen_test!(test_sub_110_011, "Sub_110_011.csv", checked_sub);
    gen_test!(test_sub_110_100, "Sub_110_100.csv", checked_sub);
    gen_test!(test_sub_110_101, "Sub_110_101.csv", checked_sub);
    gen_test!(test_sub_110_110, "Sub_110_110.csv", checked_sub);
    gen_test!(test_sub_110_111, "Sub_110_111.csv", checked_sub);
    gen_test!(test_sub_111_000, "Sub_111_000.csv", checked_sub);
    gen_test!(test_sub_111_001, "Sub_111_001.csv", checked_sub);
    gen_test!(test_sub_111_010, "Sub_111_010.csv", checked_sub);
    gen_test!(test_sub_111_011, "Sub_111_011.csv", checked_sub);
    gen_test!(test_sub_111_100, "Sub_111_100.csv", checked_sub);
    gen_test!(test_sub_111_101, "Sub_111_101.csv", checked_sub);
    gen_test!(test_sub_111_110, "Sub_111_110.csv", checked_sub);
    gen_test!(test_sub_111_111, "Sub_111_111.csv", checked_sub);
}

#[cfg(feature = "rust-fuzz")]
mod rust_fuzz {
    use arbitrary::{Arbitrary, Unstructured};

    use super::*;

    #[test]
    fn it_can_generate_arbitrary_decimals() {
        let mut u = Unstructured::new(b"it_can_generate_arbitrary_decimals");
        let d = Decimal::arbitrary(&mut u);
        assert!(d.is_ok());
    }
}

mod issues {
    use rust_decimal::prelude::*;

    #[test]
    fn issue_384_neg_overflow_during_subtract_carry() {
        // 288230376151711744
        let a = Decimal::from_parts(0, 67108864, 0, false, 0);
        // 714606955844629274884780.85120
        let b = Decimal::from_parts(0, 0, 3873892070, false, 3873892070);
        let c = a.checked_sub(b);
        assert!(c.is_some());

        //         288230376151711744.
        // - 714606955844629274884780.85120
        // =
        // - 714606667614253123173036.85120
        assert_eq!("-714606667614253123173036.85120", c.unwrap().to_string());
    }

    #[test]
    fn issue_392_overflow_during_remainder() {
        let a = Decimal::from_str("-79228157791897.854723898738431").unwrap();
        let b = Decimal::from_str("184512476.73336922111").unwrap();
        let c = a.checked_div(b);
        assert!(c.is_some());
        assert_eq!("-429391.87200000000002327170816", c.unwrap().to_string())
    }
}