Enum PatternKey 

pub enum PatternKey {
    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,
}

Pattern key for table lookup

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

Variants

Power

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

Fields

exponent: i64

Reciprocal

Reciprocal: 1/x

SquareRoot

Square root: sqrt(x)

ReciprocalSquareRoot

Reciprocal square root: 1/sqrt(x)

Exponential

Exponential: e^(ax)

Fields

coefficient: i64

GeneralExponential

General exponential: a^x

NaturalLog

Natural logarithm: ln(x)

Sine

Sine: sin(ax)

Fields

coefficient: i64

Cosine

Cosine: cos(ax)

Fields

coefficient: i64

Tangent

Tangent: tan(x)

Cotangent

Cotangent: cot(x)

Secant

Secant: sec(x)

Cosecant

Cosecant: csc(x)

SineSquared

Sine squared: sin^2(x)

CosineSquared

Cosine squared: cos^2(x)

ArctanPattern

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

Fields

a_squared: i64

ArcsinPattern

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

Fields

a_squared: i64

HyperbolicSine

Hyperbolic sine: sinh(x)

HyperbolicCosine

Hyperbolic cosine: cosh(x)

HyperbolicTangent

Hyperbolic tangent: tanh(x)

XTimesExp

Product pattern: x*e^x

XSquaredTimesExp

Product pattern: x^2*e^x

XTimesLog

Product pattern: x*ln(x)

Trait Implementations

impl Clone for PatternKey

fn clone(&self) -> PatternKey

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for PatternKey

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

Formats the value using the given formatter.

impl Eq for PatternKey

impl Hash for PatternKey

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

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl PartialEq for PatternKey

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

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl StructuralPartialEq for PatternKey