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ComplexNumber

scheme_rs::num

Struct ComplexNumber 

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pub struct ComplexNumber { /* private fields */ }
Expand description

Scheme complex numeric type.

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impl ComplexNumber

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pub fn new(re: SimpleNumber, im: SimpleNumber) -> Self

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pub fn is_zero(&self) -> bool

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pub fn one() -> Self

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pub fn i() -> Self

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pub fn inexact(&self) -> Self

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pub fn exact(&self) -> Self

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pub fn to_string(&self, radix: u32, precision: Option<usize>) -> Option<String>

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pub fn from_polar(r: SimpleNumber, theta: SimpleNumber) -> Self

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pub fn to_polar(&self) -> (SimpleNumber, SimpleNumber)

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pub fn magnitude(&self) -> SimpleNumber

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pub fn magnitude2(&self) -> SimpleNumber

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pub fn sqrt(&self) -> Self

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pub fn arg(&self) -> SimpleNumber

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pub fn exp(&self) -> Self

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pub fn ln(&self) -> Self

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pub fn powc(&self, exp: &Self) -> Self

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pub fn sin(&self) -> Self

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pub fn cos(&self) -> Self

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pub fn tan(&self) -> Self

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pub fn asin(&self) -> Self

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pub fn acos(&self) -> Self

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pub fn atan(&self) -> Self

Trait Implementations§

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impl Add<&ComplexNumber> for &ComplexNumber

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type Output = ComplexNumber

The resulting type after applying the + operator.
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fn add(self, rhs: &ComplexNumber) -> ComplexNumber

Performs the + operation. Read more
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impl Add for ComplexNumber

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type Output = ComplexNumber

The resulting type after applying the + operator.
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fn add(self, rhs: ComplexNumber) -> ComplexNumber

Performs the + operation. Read more
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impl Clone for ComplexNumber

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fn clone(&self) -> ComplexNumber

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for ComplexNumber

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl Display for ComplexNumber

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl Div for &ComplexNumber

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type Output = ComplexNumber

The resulting type after applying the / operator.
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fn div(self, rhs: &ComplexNumber) -> ComplexNumber

Performs the / operation. Read more
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impl Div for ComplexNumber

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type Output = ComplexNumber

The resulting type after applying the / operator.
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fn div(self, rhs: ComplexNumber) -> ComplexNumber

Performs the / operation. Read more
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impl From<ComplexNumber> for Number

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fn from(complex: ComplexNumber) -> Self

Converts to this type from the input type.
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impl From<ComplexNumber> for Value

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fn from(n: ComplexNumber) -> Self

Converts to this type from the input type.
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impl From<SimpleNumber> for ComplexNumber

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fn from(value: SimpleNumber) -> Self

Converts to this type from the input type.
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impl Mul<&ComplexNumber> for &ComplexNumber

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type Output = ComplexNumber

The resulting type after applying the * operator.
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fn mul(self, rhs: &ComplexNumber) -> ComplexNumber

Performs the * operation. Read more
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impl Mul for ComplexNumber

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type Output = ComplexNumber

The resulting type after applying the * operator.
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fn mul(self, rhs: ComplexNumber) -> ComplexNumber

Performs the * operation. Read more
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impl Neg for &ComplexNumber

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type Output = ComplexNumber

The resulting type after applying the - operator.
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fn neg(self) -> ComplexNumber

Performs the unary - operation. Read more
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impl Neg for ComplexNumber

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type Output = ComplexNumber

The resulting type after applying the - operator.
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fn neg(self) -> ComplexNumber

Performs the unary - operation. Read more
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impl PartialEq for ComplexNumber

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fn eq(&self, rhs: &ComplexNumber) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl Sub<&ComplexNumber> for &ComplexNumber

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type Output = ComplexNumber

The resulting type after applying the - operator.
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fn sub(self, rhs: &ComplexNumber) -> ComplexNumber

Performs the - operation. Read more
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impl Sub for ComplexNumber

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type Output = ComplexNumber

The resulting type after applying the - operator.
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fn sub(self, rhs: ComplexNumber) -> ComplexNumber

Performs the - operation. Read more
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impl TryFrom<&Number> for ComplexNumber

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type Error = Exception

The type returned in the event of a conversion error.
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fn try_from(value: &Number) -> Result<Self, Self::Error>

Performs the conversion.
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impl TryFrom<&Value> for ComplexNumber

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type Error = Exception

The type returned in the event of a conversion error.
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fn try_from(value: &Value) -> Result<ComplexNumber, Self::Error>

Performs the conversion.
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impl TryFrom<Number> for ComplexNumber

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type Error = Exception

The type returned in the event of a conversion error.
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fn try_from(value: Number) -> Result<Self, Self::Error>

Performs the conversion.
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impl TryFrom<Value> for ComplexNumber

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type Error = Exception

The type returned in the event of a conversion error.
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fn try_from(value: Value) -> Result<ComplexNumber, Self::Error>

Performs the conversion.

Auto Trait Implementations§

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T, U> ExactFrom<T> for U
where U: TryFrom<T>,

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fn exact_from(value: T) -> U

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impl<T, U> ExactInto<U> for T
where U: ExactFrom<T>,

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fn exact_into(self) -> U

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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<T, U> OverflowingInto<U> for T
where U: OverflowingFrom<T>,

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fn overflowing_into(self) -> (U, bool)

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impl<T, U> RoundingInto<U> for T
where U: RoundingFrom<T>,

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fn rounding_into(self, rm: RoundingMode) -> (U, Ordering)

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impl<T> Same for T

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type Output = T

Should always be Self
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impl<T, U> SaturatingInto<U> for T
where U: SaturatingFrom<T>,

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fn saturating_into(self) -> U

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impl<T> ToDebugString for T
where T: Debug,

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fn to_debug_string(&self) -> String

Returns the String produced by Ts Debug implementation.

§Examples
use malachite_base::strings::ToDebugString;

assert_eq!([1, 2, 3].to_debug_string(), "[1, 2, 3]");
assert_eq!(
    [vec![2, 3], vec![], vec![4]].to_debug_string(),
    "[[2, 3], [], [4]]"
);
assert_eq!(Some(5).to_debug_string(), "Some(5)");
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T> ToString for T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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impl<T, U> WrappingInto<U> for T
where U: WrappingFrom<T>,

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fn wrapping_into(self) -> U