Struct gmp_mpfr::Integer
[−]
[src]
pub struct Integer { /* fields omitted */ }
Integer
holds an arbitrary-precision integer.
Standard arithmetic operations, bitwise operations and comparisons
are supported. In standard arithmetic operations such as addition,
you can mix Integer
and primitive integer types; the result will
be an Integer
.
Internally the integer is not stored using two's-complement representation, however, for bitwise operations and shifts, the functionality is the same as if the representation was using two's complement.
Examples
use gmp_mpfr::Integer; let mut i = Integer::from(1) << 1000; // i is now 1000000... (1000 zeros) assert!(i.size_in_bits() == 1001); assert!(i.find_one(0) == Some(1000)); i -= 1; // i is now 111111... (1000 ones) assert!(i.count_ones() == Some(1000)); let a = Integer::from(0xf00d); let all_ones_xor_a = Integer::from(-1) ^ &a; // a is unchanged as we borrowed it let complement_a = !a; // now a has been moved, so this would cause an error: // assert!(a > 0); assert!(all_ones_xor_a == complement_a); assert!(complement_a == -0xf00e); assert!(format!("{:x}", complement_a) == "-f00e");
Methods
impl Integer
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fn new() -> Integer
Constructs a new arbitrary-precision integer with value 0.
fn to_u32(&self) -> u32
Converts to a u32
.
If the value is too large for the target type,
only the least-significant bits are returned.
fn to_i32(&self) -> i32
Converts to an i32
.
If the value is too large for the target type,
only the least-significant bits are returned.
fn to_f64(&self) -> f64
Converts to an f64
rounding towards zero.
fn to_f32(&self) -> f32
Converts to an f32
rounding towards zero.
fn div_rem(&mut self, divisor: &mut Integer)
Computes the quotient and remainder of self
divided by
divisor. The remainder is stored in
divisor`.
fn abs(&mut self) -> &mut Integer
Computes the absolute value of self
.
fn div_exact(&mut self, other: &Integer) -> &mut Integer
Divides self
by other
. This is much faster than normal
division, but produces correct results only when the division
is exact.
Panics
Panics if other
is zero.
fn is_divisible(&self, other: &Integer) -> bool
Returns true
if self
is divisible by other
.
fn is_congruent(&self, c: &Integer, d: &Integer) -> bool
Returns true
if self
is congruent to c
modulo d
, that
is, if there exists a q
such that self == c + q * d
.
Unlike other division functions, d
can be zero.
fn root(&mut self, n: u32) -> &mut Integer
Computes the n
th root of self
and truncates the result.
fn root_rem(&mut self, buf: &mut Integer, n: u32)
Computes the n
th root of self
and returns the truncated
root and the remainder. The remainder is self
minus the
truncated root raised to the power of n
.
The remainder is stored in buf
.
fn sqrt(&mut self) -> &mut Integer
Computes the square root of self
and truncates the result.
fn sqrt_rem(&mut self, buf: &mut Integer)
Computes the square root of self
and returns the truncated
root and the remainder. The remainder is self
minus the
truncated root squared.
The remainder is stored in buf
.
fn is_perfect_power(&self) -> bool
Returns true
if self
is a perfect power.
fn is_perfect_square(&self) -> bool
Returns true
if self
is a perfect square.
fn gcd(&mut self, other: &Integer) -> &mut Integer
Finds the greatest common divisor. The result is always positive except when both inputs are zero.
fn lcm(&mut self, other: &Integer) -> &mut Integer
Finds the least common multiple. The result is always positive except when one or both inputs are zero.
fn invert(&mut self, m: &Integer) -> Option<&mut Integer>
fn set_factorial(&mut self, n: u32) -> &mut Integer
Computes the factorial of n
.
The value of self
is ignored.
fn set_factorial_2(&mut self, n: u32) -> &mut Integer
Computes the double factorial of n
.
The value of self
is ignored.
fn set_factorial_m(&mut self, n: u32, m: u32) -> &mut Integer
Computes the m
-multi factorial of n
.
The value of self
is ignored.
fn set_primorial(&mut self, n: u32) -> &mut Integer
Computes the primorial of n
.
The value of self
is ignored.
fn binomial(&mut self, k: u32) -> &mut Integer
Computes the binomial coefficient self
over k
.
fn set_binomial(&mut self, n: u32, k: u32) -> &mut Integer
Computes the binomial coefficient n
over k
.
The value of self
is ignored.
fn cmp_abs(&self, other: &Integer) -> Ordering
Compares the absolute values of self
and other
.
fn sign(&self) -> Ordering
Returns Less
if self
is less than zero,
Greater
if self
is greater than zero,
or Equal
if self
is equal to zero.
fn size_in_bits(&self) -> usize
Returns the number of bits required to represent the absolute
value of self
.
fn count_ones(&self) -> Option<BitCount>
Returns the number of ones in self
if the value >= 0.
fn ham_dist(&self, other: &Integer) -> Option<BitCount>
Retuns the Hamming distance between self
and other
if they
have the same sign, otherwise None
.
fn find_zero(&self, start: BitCount) -> Option<BitCount>
Returns the location of the first zero, starting at start
.
If the bit at location start
is zero, returns start
.
fn find_one(&self, start: BitCount) -> Option<BitCount>
Returns the location of the first one, starting at start
.
If the bit at location start
is one, returns start
.
fn set_bit(&mut self, index: BitCount, val: bool) -> &mut Integer
Sets the bit at location index
to 1 if val
is true
or 0
if val
is false
.
fn get_bit(&self, index: BitCount) -> bool
Returns true
if the bit at location index
is 1 or false
if the bit is 0.
fn invert_bit(&mut self, index: BitCount) -> &mut Integer
Toggles the bit at location index
.
fn to_string_radix(&self, radix: i32) -> String
Returns a string representation of self
for the specified
radix
. If radix
is > 36, 'a'
to 'z'
represent digits 10 to
36, and 'A'
to 'Z'
represent digits 37 to 62.
Panics
Panics if radix
is less than 2 or greater than 62.
Trait Implementations
impl<'a> Assign<&'a Float> for Integer
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impl<'a> Assign<Float> for Integer
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impl Add<Float> for Integer
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type Output = Float
The resulting type after applying the +
operator
fn add(self, op: Float) -> Float
The method for the +
operator
impl<'a> Add<&'a Float> for Integer
[src]
type Output = Float
The resulting type after applying the +
operator
fn add(self, op: &'a Float) -> Float
The method for the +
operator
impl AddRound<Float> for Integer
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type Output = Float
The resulting type after the addition.
fn add_round(self, op: Float, round: Round) -> (Float, Ordering)
Performs the addition.
impl<'a> AddRound<&'a Float> for Integer
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type Output = Float
The resulting type after the addition.
fn add_round(self, op: &'a Float, round: Round) -> (Float, Ordering)
Performs the addition.
impl Sub<Float> for Integer
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type Output = Float
The resulting type after applying the -
operator
fn sub(self, op: Float) -> Float
The method for the -
operator
impl<'a> Sub<&'a Float> for Integer
[src]
type Output = Float
The resulting type after applying the -
operator
fn sub(self, op: &'a Float) -> Float
The method for the -
operator
impl SubRound<Float> for Integer
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type Output = Float
The resulting type after the subtraction.
fn sub_round(self, op: Float, round: Round) -> (Float, Ordering)
Performs the subtraction.
impl<'a> SubRound<&'a Float> for Integer
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type Output = Float
The resulting type after the subtraction.
fn sub_round(self, op: &'a Float, round: Round) -> (Float, Ordering)
Performs the subtraction.
impl Mul<Float> for Integer
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type Output = Float
The resulting type after applying the *
operator
fn mul(self, op: Float) -> Float
The method for the *
operator
impl<'a> Mul<&'a Float> for Integer
[src]
type Output = Float
The resulting type after applying the *
operator
fn mul(self, op: &'a Float) -> Float
The method for the *
operator
impl MulRound<Float> for Integer
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type Output = Float
The resulting type after the multiplication.
fn mul_round(self, op: Float, round: Round) -> (Float, Ordering)
Performs the multiplication.
impl<'a> MulRound<&'a Float> for Integer
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type Output = Float
The resulting type after the multiplication.
fn mul_round(self, op: &'a Float, round: Round) -> (Float, Ordering)
Performs the multiplication.
impl PartialEq<Float> for Integer
[src]
fn eq(&self, other: &Float) -> bool
This method tests for self
and other
values to be equal, and is used by ==
. Read more
fn ne(&self, other: &Rhs) -> bool
1.0.0
This method tests for !=
.
impl PartialOrd<Float> for Integer
[src]
fn partial_cmp(&self, other: &Float) -> Option<Ordering>
Returns the ordering of self
and other
, or None
if other
is a NaN.
fn lt(&self, other: &Rhs) -> bool
1.0.0
This method tests less than (for self
and other
) and is used by the <
operator. Read more
fn le(&self, other: &Rhs) -> bool
1.0.0
This method tests less than or equal to (for self
and other
) and is used by the <=
operator. Read more
fn gt(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than (for self
and other
) and is used by the >
operator. Read more
fn ge(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than or equal to (for self
and other
) and is used by the >=
operator. Read more
impl Drop for Integer
[src]
impl Default for Integer
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impl Clone for Integer
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fn clone(&self) -> Integer
Returns a copy of the value. Read more
fn clone_from(&mut self, source: &Integer)
Performs copy-assignment from source
. Read more
impl<'a> From<&'a Integer> for Integer
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impl From<u32> for Integer
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impl From<i32> for Integer
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impl<'a> Assign<&'a Integer> for Integer
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impl<'a> Assign<Integer> for Integer
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impl Assign<u32> for Integer
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impl Assign<i32> for Integer
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impl Assign<f64> for Integer
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impl Assign<f32> for Integer
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impl<'a> Add<&'a Integer> for Integer
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type Output = Integer
The resulting type after applying the +
operator
fn add(self, op: &'a Integer) -> Integer
The method for the +
operator
impl Add<Integer> for Integer
[src]
type Output = Integer
The resulting type after applying the +
operator
fn add(self, op: Integer) -> Integer
The method for the +
operator
impl<'a> AddAssign<&'a Integer> for Integer
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fn add_assign(&mut self, op: &'a Integer)
The method for the +=
operator
impl AddAssign<Integer> for Integer
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fn add_assign(&mut self, op: Integer)
The method for the +=
operator
impl<'a> Sub<&'a Integer> for Integer
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type Output = Integer
The resulting type after applying the -
operator
fn sub(self, op: &'a Integer) -> Integer
The method for the -
operator
impl Sub<Integer> for Integer
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type Output = Integer
The resulting type after applying the -
operator
fn sub(self, op: Integer) -> Integer
The method for the -
operator
impl<'a> SubAssign<&'a Integer> for Integer
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fn sub_assign(&mut self, op: &'a Integer)
The method for the -=
operator
impl SubAssign<Integer> for Integer
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fn sub_assign(&mut self, op: Integer)
The method for the -=
operator
impl<'a> Mul<&'a Integer> for Integer
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type Output = Integer
The resulting type after applying the *
operator
fn mul(self, op: &'a Integer) -> Integer
The method for the *
operator
impl Mul<Integer> for Integer
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type Output = Integer
The resulting type after applying the *
operator
fn mul(self, op: Integer) -> Integer
The method for the *
operator
impl<'a> MulAssign<&'a Integer> for Integer
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fn mul_assign(&mut self, op: &'a Integer)
The method for the *=
operator
impl MulAssign<Integer> for Integer
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fn mul_assign(&mut self, op: Integer)
The method for the *=
operator
impl<'a> Div<&'a Integer> for Integer
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type Output = Integer
The resulting type after applying the /
operator
fn div(self, op: &'a Integer) -> Integer
The method for the /
operator
impl Div<Integer> for Integer
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type Output = Integer
The resulting type after applying the /
operator
fn div(self, op: Integer) -> Integer
The method for the /
operator
impl<'a> DivAssign<&'a Integer> for Integer
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fn div_assign(&mut self, op: &'a Integer)
The method for the /=
operator
impl DivAssign<Integer> for Integer
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fn div_assign(&mut self, op: Integer)
The method for the /=
operator
impl<'a> Rem<&'a Integer> for Integer
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type Output = Integer
The resulting type after applying the %
operator
fn rem(self, op: &'a Integer) -> Integer
The method for the %
operator
impl Rem<Integer> for Integer
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type Output = Integer
The resulting type after applying the %
operator
fn rem(self, op: Integer) -> Integer
The method for the %
operator
impl<'a> RemAssign<&'a Integer> for Integer
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fn rem_assign(&mut self, op: &'a Integer)
The method for the %=
operator
impl RemAssign<Integer> for Integer
[src]
fn rem_assign(&mut self, op: Integer)
The method for the %=
operator
impl SubFromAssign for Integer
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fn sub_from_assign(&mut self, lhs: Integer)
Peforms the subtraction.
impl<'a> SubFromAssign<&'a Integer> for Integer
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fn sub_from_assign(&mut self, lhs: &Integer)
Peforms the subtraction.
impl DivFromAssign for Integer
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fn div_from_assign(&mut self, lhs: Integer)
Peforms the division.
impl<'a> DivFromAssign<&'a Integer> for Integer
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fn div_from_assign(&mut self, lhs: &Integer)
Peforms the division.
impl Add<u32> for Integer
[src]
type Output = Integer
The resulting type after applying the +
operator
fn add(self, op: u32) -> Integer
The method for the +
operator
impl AddAssign<u32> for Integer
[src]
fn add_assign(&mut self, op: u32)
The method for the +=
operator
impl Sub<u32> for Integer
[src]
type Output = Integer
The resulting type after applying the -
operator
fn sub(self, op: u32) -> Integer
The method for the -
operator
impl SubAssign<u32> for Integer
[src]
fn sub_assign(&mut self, op: u32)
The method for the -=
operator
impl SubFromAssign<u32> for Integer
[src]
fn sub_from_assign(&mut self, lhs: u32)
Peforms the subtraction.
impl Mul<u32> for Integer
[src]
type Output = Integer
The resulting type after applying the *
operator
fn mul(self, op: u32) -> Integer
The method for the *
operator
impl MulAssign<u32> for Integer
[src]
fn mul_assign(&mut self, op: u32)
The method for the *=
operator
impl Mul<i32> for Integer
[src]
type Output = Integer
The resulting type after applying the *
operator
fn mul(self, op: i32) -> Integer
The method for the *
operator
impl MulAssign<i32> for Integer
[src]
fn mul_assign(&mut self, op: i32)
The method for the *=
operator
impl Div<u32> for Integer
[src]
type Output = Integer
The resulting type after applying the /
operator
fn div(self, op: u32) -> Integer
The method for the /
operator
impl DivAssign<u32> for Integer
[src]
fn div_assign(&mut self, op: u32)
The method for the /=
operator
impl Rem<u32> for Integer
[src]
type Output = Integer
The resulting type after applying the %
operator
fn rem(self, op: u32) -> Integer
The method for the %
operator
impl RemAssign<u32> for Integer
[src]
fn rem_assign(&mut self, op: u32)
The method for the %=
operator
impl Shl<u32> for Integer
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type Output = Integer
The resulting type after applying the <<
operator
fn shl(self, op: u32) -> Integer
The method for the <<
operator
impl ShlAssign<u32> for Integer
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fn shl_assign(&mut self, op: u32)
The method for the <<=
operator
impl Shr<u32> for Integer
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type Output = Integer
The resulting type after applying the >>
operator
fn shr(self, op: u32) -> Integer
The method for the >>
operator
impl ShrAssign<u32> for Integer
[src]
fn shr_assign(&mut self, op: u32)
The method for the >>=
operator
impl Pow<u32> for Integer
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type Output = Integer
The resulting type after the power operation.
fn pow(self, op: u32) -> Integer
Performs the power operation.
impl PowAssign<u32> for Integer
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fn pow_assign(&mut self, op: u32)
Peforms the power operation.
impl Neg for Integer
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type Output = Integer
The resulting type after applying the -
operator
fn neg(self) -> Integer
The method for the unary -
operator
impl NegAssign for Integer
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fn neg_assign(&mut self)
Peforms the negation.
impl Eq for Integer
[src]
impl Ord for Integer
[src]
fn cmp(&self, other: &Integer) -> Ordering
This method returns an Ordering
between self
and other
. Read more
impl PartialEq for Integer
[src]
fn eq(&self, other: &Integer) -> bool
This method tests for self
and other
values to be equal, and is used by ==
. Read more
fn ne(&self, other: &Rhs) -> bool
1.0.0
This method tests for !=
.
impl PartialOrd for Integer
[src]
fn partial_cmp(&self, other: &Integer) -> Option<Ordering>
This method returns an ordering between self
and other
values if one exists. Read more
fn lt(&self, other: &Rhs) -> bool
1.0.0
This method tests less than (for self
and other
) and is used by the <
operator. Read more
fn le(&self, other: &Rhs) -> bool
1.0.0
This method tests less than or equal to (for self
and other
) and is used by the <=
operator. Read more
fn gt(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than (for self
and other
) and is used by the >
operator. Read more
fn ge(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than or equal to (for self
and other
) and is used by the >=
operator. Read more
impl PartialOrd<f64> for Integer
[src]
fn partial_cmp(&self, other: &f64) -> Option<Ordering>
This method returns an ordering between self
and other
values if one exists. Read more
fn lt(&self, other: &Rhs) -> bool
1.0.0
This method tests less than (for self
and other
) and is used by the <
operator. Read more
fn le(&self, other: &Rhs) -> bool
1.0.0
This method tests less than or equal to (for self
and other
) and is used by the <=
operator. Read more
fn gt(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than (for self
and other
) and is used by the >
operator. Read more
fn ge(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than or equal to (for self
and other
) and is used by the >=
operator. Read more
impl PartialEq<f64> for Integer
[src]
fn eq(&self, other: &f64) -> bool
This method tests for self
and other
values to be equal, and is used by ==
. Read more
fn ne(&self, other: &Rhs) -> bool
1.0.0
This method tests for !=
.
impl PartialOrd<f32> for Integer
[src]
fn partial_cmp(&self, other: &f32) -> Option<Ordering>
This method returns an ordering between self
and other
values if one exists. Read more
fn lt(&self, other: &Rhs) -> bool
1.0.0
This method tests less than (for self
and other
) and is used by the <
operator. Read more
fn le(&self, other: &Rhs) -> bool
1.0.0
This method tests less than or equal to (for self
and other
) and is used by the <=
operator. Read more
fn gt(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than (for self
and other
) and is used by the >
operator. Read more
fn ge(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than or equal to (for self
and other
) and is used by the >=
operator. Read more
impl PartialEq<f32> for Integer
[src]
fn eq(&self, other: &f32) -> bool
This method tests for self
and other
values to be equal, and is used by ==
. Read more
fn ne(&self, other: &Rhs) -> bool
1.0.0
This method tests for !=
.
impl PartialOrd<u32> for Integer
[src]
fn partial_cmp(&self, other: &u32) -> Option<Ordering>
This method returns an ordering between self
and other
values if one exists. Read more
fn lt(&self, other: &Rhs) -> bool
1.0.0
This method tests less than (for self
and other
) and is used by the <
operator. Read more
fn le(&self, other: &Rhs) -> bool
1.0.0
This method tests less than or equal to (for self
and other
) and is used by the <=
operator. Read more
fn gt(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than (for self
and other
) and is used by the >
operator. Read more
fn ge(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than or equal to (for self
and other
) and is used by the >=
operator. Read more
impl PartialEq<u32> for Integer
[src]
fn eq(&self, other: &u32) -> bool
This method tests for self
and other
values to be equal, and is used by ==
. Read more
fn ne(&self, other: &Rhs) -> bool
1.0.0
This method tests for !=
.
impl PartialOrd<i32> for Integer
[src]
fn partial_cmp(&self, other: &i32) -> Option<Ordering>
This method returns an ordering between self
and other
values if one exists. Read more
fn lt(&self, other: &Rhs) -> bool
1.0.0
This method tests less than (for self
and other
) and is used by the <
operator. Read more
fn le(&self, other: &Rhs) -> bool
1.0.0
This method tests less than or equal to (for self
and other
) and is used by the <=
operator. Read more
fn gt(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than (for self
and other
) and is used by the >
operator. Read more
fn ge(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than or equal to (for self
and other
) and is used by the >=
operator. Read more
impl PartialEq<i32> for Integer
[src]
fn eq(&self, other: &i32) -> bool
This method tests for self
and other
values to be equal, and is used by ==
. Read more
fn ne(&self, other: &Rhs) -> bool
1.0.0
This method tests for !=
.
impl<'a> BitAnd<&'a Integer> for Integer
[src]
type Output = Integer
The resulting type after applying the &
operator
fn bitand(self, op: &'a Integer) -> Integer
The method for the &
operator
impl BitAnd for Integer
[src]
type Output = Integer
The resulting type after applying the &
operator
fn bitand(self, op: Integer) -> Integer
The method for the &
operator
impl<'a> BitAndAssign<&'a Integer> for Integer
[src]
fn bitand_assign(&mut self, op: &'a Integer)
The method for the &=
operator
impl BitAndAssign<Integer> for Integer
[src]
fn bitand_assign(&mut self, op: Integer)
The method for the &=
operator
impl<'a> BitOr<&'a Integer> for Integer
[src]
type Output = Integer
The resulting type after applying the |
operator
fn bitor(self, op: &'a Integer) -> Integer
The method for the |
operator
impl BitOr for Integer
[src]
type Output = Integer
The resulting type after applying the |
operator
fn bitor(self, op: Integer) -> Integer
The method for the |
operator
impl<'a> BitOrAssign<&'a Integer> for Integer
[src]
fn bitor_assign(&mut self, op: &'a Integer)
The method for the |=
operator
impl BitOrAssign<Integer> for Integer
[src]
fn bitor_assign(&mut self, op: Integer)
The method for the |=
operator
impl<'a> BitXor<&'a Integer> for Integer
[src]
type Output = Integer
The resulting type after applying the ^
operator
fn bitxor(self, op: &'a Integer) -> Integer
The method for the ^
operator
impl BitXor for Integer
[src]
type Output = Integer
The resulting type after applying the ^
operator
fn bitxor(self, op: Integer) -> Integer
The method for the ^
operator
impl<'a> BitXorAssign<&'a Integer> for Integer
[src]
fn bitxor_assign(&mut self, op: &'a Integer)
The method for the ^=
operator
impl BitXorAssign<Integer> for Integer
[src]
fn bitxor_assign(&mut self, op: Integer)
The method for the ^=
operator
impl Not for Integer
[src]
type Output = Integer
The resulting type after applying the !
operator
fn not(self) -> Integer
The method for the unary !
operator
impl NotAssign for Integer
[src]
fn not_assign(&mut self)
Peforms the complement.
impl Display for Integer
[src]
impl Debug for Integer
[src]
impl Binary for Integer
[src]
impl Octal for Integer
[src]
impl LowerHex for Integer
[src]
impl UpperHex for Integer
[src]
impl<'a> Assign<&'a Rational> for Integer
[src]
impl<'a> Assign<Rational> for Integer
[src]
impl PartialEq<Rational> for Integer
[src]
fn eq(&self, other: &Rational) -> bool
This method tests for self
and other
values to be equal, and is used by ==
. Read more
fn ne(&self, other: &Rhs) -> bool
1.0.0
This method tests for !=
.
impl PartialOrd<Rational> for Integer
[src]
fn partial_cmp(&self, other: &Rational) -> Option<Ordering>
This method returns an ordering between self
and other
values if one exists. Read more
fn lt(&self, other: &Rhs) -> bool
1.0.0
This method tests less than (for self
and other
) and is used by the <
operator. Read more
fn le(&self, other: &Rhs) -> bool
1.0.0
This method tests less than or equal to (for self
and other
) and is used by the <=
operator. Read more
fn gt(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than (for self
and other
) and is used by the >
operator. Read more
fn ge(&self, other: &Rhs) -> bool
1.0.0
This method tests greater than or equal to (for self
and other
) and is used by the >=
operator. Read more