PatternKey

mathhook_core::calculus::integrals::table

Enum PatternKey 

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pub enum PatternKey {

Show 23 variants    Power {
        exponent: i64,
    },
    Reciprocal,
    SquareRoot,
    ReciprocalSquareRoot,
    Exponential {
        coefficient: i64,
    },
    GeneralExponential,
    NaturalLog,
    Sine {
        coefficient: i64,
    },
    Cosine {
        coefficient: i64,
    },
    Tangent,
    Cotangent,
    Secant,
    Cosecant,
    SineSquared,
    CosineSquared,
    ArctanPattern {
        a_squared: i64,
    },
    ArcsinPattern {
        a_squared: i64,
    },
    HyperbolicSine,
    HyperbolicCosine,
    HyperbolicTangent,
    XTimesExp,
    XSquaredTimesExp,
    XTimesLog,

}
Expand description

Pattern key for table lookup

Represents common integration patterns that can be matched and integrated using closed-form formulas.

Variants§

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Power

Power function: x^n (for n != -1)

Fields

§exponent: i64
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Reciprocal

Reciprocal: 1/x

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SquareRoot

Square root: sqrt(x)

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ReciprocalSquareRoot

Reciprocal square root: 1/sqrt(x)

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Exponential

Exponential: e^(ax)

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§coefficient: i64
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GeneralExponential

General exponential: a^x

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NaturalLog

Natural logarithm: ln(x)

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Sine

Sine: sin(ax)

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§coefficient: i64
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Cosine

Cosine: cos(ax)

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§coefficient: i64
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Tangent

Tangent: tan(x)

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Cotangent

Cotangent: cot(x)

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Secant

Secant: sec(x)

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Cosecant

Cosecant: csc(x)

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SineSquared

Sine squared: sin^2(x)

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CosineSquared

Cosine squared: cos^2(x)

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ArctanPattern

Arctangent pattern: 1/(x^2 + a^2)

Fields

§a_squared: i64
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ArcsinPattern

Arcsine pattern: 1/sqrt(a^2 - x^2)

Fields

§a_squared: i64
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HyperbolicSine

Hyperbolic sine: sinh(x)

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HyperbolicCosine

Hyperbolic cosine: cosh(x)

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HyperbolicTangent

Hyperbolic tangent: tanh(x)

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XTimesExp

Product pattern: x*e^x

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XSquaredTimesExp

Product pattern: x^2*e^x

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XTimesLog

Product pattern: x*ln(x)

Trait Implementations§

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impl Clone for PatternKey

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fn clone(&self) -> PatternKey

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 PatternKey

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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 Hash for PatternKey

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fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl PartialEq for PatternKey

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fn eq(&self, other: &PatternKey) -> 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 Eq for PatternKey

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impl StructuralPartialEq for PatternKey

Auto Trait 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> 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> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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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, 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.