Quellcode-Bibliothek decimal_tests.rs
Sprache: unbekannt
|
|
Columbo aufrufen.rs Download desUnknown {[0] [0] [0]}Datei anzeigen
mod macros;
use core::{cmp::Ordering::*, str::FromStr};
use num_traits::{Inv, Signed, ToPrimitive};
use rust_decimal::{Decimal, Error, RoundingStrategy};
#[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());
}
}
#[test]
#[cfg(feature = "borsh")]
fn it_can_serialize_deserialize_borsh() {
let tests = [
"12.3456789",
"5233.9008808150288439427720175",
"-5233.9008808150288439427720175",
];
for test in &tests {
let a = Decimal::from_str(test).unwrap();
let mut bytes: Vec<u8> = Vec::new();
borsh::BorshSerialize::serialize(&a, &mut bytes).unwrap();
let b: Decimal = borsh::BorshDeserialize::deserialize(&mut bytes.as_slice()).unwrap( );
assert_eq!(test.to_string(), b.to_string());
let bytes = borsh::try_to_vec_with_schema(&a);
assert!(bytes.is_ok(), "try_to_vec_with_schema.is_ok()");
let bytes = bytes.unwrap();
let result = borsh::try_from_slice_with_schema(&bytes);
assert!(result.is_ok(), "try_from_slice_with_schema.is_ok()");
let b: Decimal = result.unwrap();
assert_eq!(test.to_string(), b.to_string());
}
}
#[test]
#[cfg(feature = "rkyv")]
fn it_can_serialize_deserialize_rkyv() {
use rkyv::Deserialize;
let tests = [
"12.3456789",
"5233.9008808150288439427720175",
"-5233.9008808150288439427720175",
];
for test in &tests {
let a = Decimal::from_str(test).unwrap();
let bytes = rkyv::to_bytes::<_, 256>(&a).unwrap();
#[cfg(feature = "rkyv-safe")]
{
let archived = rkyv::check_archived_root::<Decimal>(&bytes[..]).unwrap();
assert_eq!(archived, &a);
}
let archived = unsafe { rkyv::archived_root::<Decimal>(&bytes[..]) };
assert_eq!(archived, &a);
let deserialized: Decimal = archived.deserialize(&mut rkyv::Infallible).unwrap();
assert_eq!(deserialized, a);
}
}
#[test]
fn it_can_deserialize_unbounded_values() {
// Mantissa for these: 19393111376951473493673267553
let tests = [
(
[1u8, 0, 28, 206, 97, 81, 216, 182, 20, 30, 165, 78, 18, 155, 169, 62],
// Scale 28: -1.9393111376951473493673267553
"-1.9393111376951473493673267553",
),
(
[1u8, 0, 29, 206, 97, 81, 216, 182, 20, 30, 165, 78, 18, 155, 169, 62],
// Scale 29: -0.19393111376951473493673267553
"-0.1939311137695147349367326755",
),
(
[1u8, 0, 30, 206, 97, 81, 216, 182, 20, 30, 165, 78, 18, 155, 169, 62],
// Scale 30: -0.019393111376951473493673267553
"-0.0193931113769514734936732676",
),
(
[1u8, 0, 31, 206, 97, 81, 216, 182, 20, 30, 165, 78, 18, 155, 169, 62],
// Scale 31: -0.0019393111376951473493673267553
"-0.0019393111376951473493673268",
),
];
for &(bytes, expected) in &tests {
let dec = Decimal::deserialize(bytes);
let string = format!("{:.9999}", dec);
let dec2 = Decimal::from_str(&string).unwrap();
assert_eq!(dec, dec2);
assert_eq!(dec.to_string(), expected, "dec.to_string()");
assert_eq!(dec2.to_string(), expected, "dec2.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);
}
}
#[test]
fn it_formats_scientific_precision() {
for (num, scale, expected_no_precision, expected_precision) in [
(
123456,
10,
"1.23456e-5",
[
"1e-5",
"1.2e-5",
"1.23e-5",
"1.234e-5",
"1.2345e-5",
"1.23456e-5",
"1.234560e-5",
"1.2345600e-5",
],
),
(
123456,
0,
"1.23456e5",
[
"1e5",
"1.2e5",
"1.23e5",
"1.234e5",
"1.2345e5",
"1.23456e5",
"1.234560e5",
"1.2345600e5",
],
),
(
1,
0,
"1e0",
[
"1e0",
"1.0e0",
"1.00e0",
"1.000e0",
"1.0000e0",
"1.00000e0",
"1.000000e0",
"1.0000000e0",
],
),
(
-123456,
10,
"-1.23456e-5",
[
"-1e-5",
"-1.2e-5",
"-1.23e-5",
"-1.234e-5",
"-1.2345e-5",
"-1.23456e-5",
"-1.234560e-5",
"-1.2345600e-5",
],
),
(
-100000,
10,
"-1e-5",
[
"-1e-5",
"-1.0e-5",
"-1.00e-5",
"-1.000e-5",
"-1.0000e-5",
"-1.00000e-5",
"-1.000000e-5",
"-1.0000000e-5",
],
),
] {
assert_eq!(format!("{:e}", Decimal::new(num, scale)), expected_no_precision);
for i in 0..expected_precision.len() {
assert_eq!(
format!("{:.prec$e}", Decimal::new(num, scale), prec = i),
expected_precision[i]
);
}
}
}
// 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,
),
--> --------------------
--> maximum size reached
--> --------------------
[ 0.76Quellennavigators
]
|
2026-04-02
|
