2024-11-25 10:39:52 +01:00
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use std::{
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cmp::min,
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iter::zip,
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ops::{Sub, SubAssign},
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};
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use super::{Number, Sign};
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impl Sub for Number {
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type Output = Self;
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fn sub(self, rhs: Self) -> Self::Output {
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let self_len = self.digits.len();
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let rhs_len = rhs.digits.len();
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let mut self_digits = self.digits.clone();
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let mut rhs_digits = rhs.digits.clone();
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if self_len != rhs_len {
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let difference = (self_len).abs_diff(rhs_len);
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let pad = vec![0isize; difference];
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if min(self_len, rhs_len) == self_len {
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2024-11-26 09:56:20 +01:00
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self_digits = [self.digits, pad].concat();
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2024-11-25 10:39:52 +01:00
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} else {
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2024-11-26 09:56:20 +01:00
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rhs_digits = [rhs.digits, pad].concat();
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2024-11-25 10:39:52 +01:00
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}
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}
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let zipped = zip(self_digits.iter(), rhs_digits.iter());
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2024-11-26 09:56:20 +01:00
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let mut carry = 0;
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let mut digits = Vec::new();
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let mut sign = match (self.sign, rhs.sign) {
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(Sign::Positif, Sign::Negatif) => Sign::Positif,
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(Sign::Negatif, Sign::Positif) => Sign::Negatif,
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(Sign::Positif, Sign::Positif) | (Sign::Negatif, Sign::Negatif) => Sign::Positif,
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2024-11-25 10:39:52 +01:00
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};
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2024-11-26 09:56:20 +01:00
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for (a, b) in zipped {
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let comb = match (self.sign, rhs.sign) {
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(Sign::Positif, Sign::Positif) => {
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let comb = a - b - carry;
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if comb < 0 {
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carry = 1;
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} else {
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carry = 0;
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}
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if b > a {
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sign = Sign::Negatif;
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} else {
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sign = Sign::Positif;
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}
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(comb % 10).abs()
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}
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(Sign::Positif, Sign::Negatif) => {
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let comb = a + b + carry;
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if comb > 9 {
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carry = 1;
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} else {
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carry = 0;
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}
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comb % 10
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}
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(Sign::Negatif, Sign::Positif) => {
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let comb = -a - b - carry;
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if comb < -9 {
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carry = 1;
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} else {
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carry = 0;
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}
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(comb % 10).abs()
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}
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(Sign::Negatif, Sign::Negatif) => {
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let comb = -a + b + carry;
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if comb > 10 {
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carry = 1;
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} else {
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carry = 0;
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}
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if a > b {
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sign = Sign::Negatif;
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} else {
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sign = Sign::Positif;
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}
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comb % 10
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}
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};
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digits.push(comb);
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}
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if carry != 0 {
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digits.push(carry);
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}
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Self { digits, sign }
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2024-11-25 10:39:52 +01:00
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}
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}
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impl SubAssign for Number {
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fn sub_assign(&mut self, rhs: Self) {
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let new = self.clone() - rhs;
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self.digits = new.digits;
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self.sign = new.sign;
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}
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}
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2024-11-26 09:56:20 +01:00
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#[cfg(test)]
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mod test_number_sub {
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use crate::number::Number;
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#[test]
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fn sub_positif() {
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let a = Number::from(1);
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let b = 1.into();
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let res = Number::from(0);
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assert_eq!(res, a - b);
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}
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#[test]
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fn sub_negatif() {
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let a = Number::from(-1);
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let b = (-1).into();
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let res = Number::from(0);
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assert_eq!(res, a - b);
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}
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#[test]
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fn sub_negatif_from_positif() {
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let a = Number::from(1);
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let b = (-1).into();
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let res = Number::from(2);
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assert_eq!(res, a - b);
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}
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#[test]
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fn sub_positif_from_negatif() {
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let a = Number::from(-1);
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let b = (1).into();
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let res = Number::from(-2);
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assert_eq!(res, a - b);
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}
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#[test]
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fn sub_larger_positif_from_negatif() {
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let a = Number::from(-1);
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let b = (11).into();
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let res = Number::from(-12);
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assert_eq!(res, a - b);
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}
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#[test]
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fn sub_larger_negatif_from_positif() {
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let a = Number::from(1);
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let b = (-11).into();
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let res = Number::from(12);
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assert_eq!(res, a - b);
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}
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#[test]
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fn sub_positif_from_larger_negatif() {
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let a = Number::from(-99);
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let b = (11).into();
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let res = Number::from(-110);
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assert_eq!(res, a - b);
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}
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#[test]
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fn sub_negatif_from_larger_positif() {
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let a = Number::from(99);
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let b = (-11).into();
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let res = Number::from(110);
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assert_eq!(res, a - b);
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}
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}
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