Enum mz_transform :: symbolic :: SymbolicExpression Copy item path

Constant(OrderedFloat<f64>)

A constant expression

Symbolic(V, usize)

Variable(x, n) represents x^n

Sum(Vec<SymbolicExpression<V>>)

Sum([e_1, ..., e_m]) represents e_1 + … + e_m

Product(Vec<SymbolicExpression<V>>)

Product([e_1, ..., e_m]) represents e_1 * … * e_m

Max(Box<SymbolicExpression<V>>, Box<SymbolicExpression<V>>)

The maximum value of two expressions

Min(Box<SymbolicExpression<V>>, Box<SymbolicExpression<V>>)

The minimum value of two expressions

Implementations§

impl SymbolicExpression<FactorizerVariable>

pub fn humanize(&self, h: &dyn ExprHumanizer, f: &mut Formatter<'_>) -> Result

Render a symbolic expression nicely

impl<V> SymbolicExpression<V>

pub fn evaluate<F>(&self, concretize: &F) -> f64
where F: Fn(&V) -> f64,

Evaluates a symbolic expression, given a way to concretize its symbolic parts

pub fn order(&self) -> usize

Computes the order of a symbolic expression

use mz_transform::symbolic::SymbolicExpression;

let x = SymbolicExpression::symbolic("x".to_string());
let y = SymbolicExpression::symbolic("y".to_string());
// x^3 + xy + 1000000
let e = SymbolicExpression::sum(vec![SymbolicExpression::product(vec![x.clone(); 3]), SymbolicExpression::product(vec![x, y]), SymbolicExpression::f64(1000000.0)]);
// has order 3
assert_eq!(e.order(), 3);

pub fn collect_symbolics(&self, symbolics: &mut BTreeSet<V>)
where V: Clone + Ord + Eq,

Collects all symbolic values in the expression

use mz_transform::symbolic::SymbolicExpression;

let x = SymbolicExpression::symbolic("x".to_string());
let y = SymbolicExpression::symbolic("y".to_string());
// x^3 + xy + 1000000
let e = SymbolicExpression::sum(vec![SymbolicExpression::product(vec![x.clone(); 3]), SymbolicExpression::product(vec![x, y]), SymbolicExpression::f64(1000000.0)]);
// has order 3
let mut symbolics = std::collections::BTreeSet::new();
e.collect_symbolics(&mut symbolics);
assert_eq!(symbolics.len(), 2);
assert!(symbolics.contains(&"x".to_string()));
assert!(symbolics.contains(&"y".to_string()));

pub fn normalize(&self) -> Self
where V: Clone + Ord + Eq,

Walks the entire term, simplifying away redundancies that may have accumulated

pub fn i64(n: i64) -> Self

Generate a symbolic expression from an i64 (may be lossy for high values)

pub fn usize(n: usize) -> Self

Generate a symbolic expression from a usize (may be lossy for high values)

pub fn f64(n: f64) -> Self

Generate a symbolic expression from a float

pub fn symbolic(v: V) -> Self
where V: Ord,

References a variable (with a default exponent of 1)

pub fn max(e1: Self, e2: Self) -> Self
where V: PartialOrd + PartialEq,

Computes the maximum of two symbolic expressions

pub fn min(e1: Self, e2: Self) -> Self
where V: PartialOrd + PartialEq,

Computes the minimum of two symbolic expressions

pub fn sum(es: Vec<Self>) -> Self
where V: Clone + Eq + Ord,

Computes the n-ary sum of symbolic expressions, yielding a slightly more compact/normalized term than repeated addition

pub fn product(es: Vec<Self>) -> Self
where V: Clone + Eq + Ord,

Computes the n-ary product of symbolic expressions, yielding a slightly more compact/normalized term than repeated multiplication

Trait Implementations§

impl<V> Add<SymbolicExpression<V>> for f64
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the + operator.

fn add(self, rhs: SymbolicExpression<V>) -> Self::Output

Performs the + operation. Read more

impl<V> Add<f64> for SymbolicExpression<V>
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the + operator.

fn add(self, rhs: f64) -> Self::Output

Performs the + operation. Read more

impl<V> Add for &SymbolicExpression<V>
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self::Output

Performs the + operation. Read more

impl<V> Add for SymbolicExpression<V>
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self::Output

Performs the + operation. Read more

impl<V: Clone> Clone for SymbolicExpression<V>

fn clone(&self) -> SymbolicExpression<V>

Returns a copy of the value. Read more

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

Performs copy-assignment from source. Read more

impl<V: Debug> Debug for SymbolicExpression<V>

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

Formats the value using the given formatter. Read more

impl<V> Default for SymbolicExpression<V>

fn default() -> Self

Returns the “default value” for a type. Read more

impl<V> Div<f64> for &SymbolicExpression<V>
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the / operator.

fn div(self, rhs: f64) -> Self::Output

Performs the / operation. Read more

impl<V> Div<f64> for SymbolicExpression<V>
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the / operator.

fn div(self, rhs: f64) -> Self::Output

Performs the / operation. Read more

impl<V> From<f64> for SymbolicExpression<V>

fn from(value: f64) -> Self

Converts to this type from the input type.

impl<V> From<i64> for SymbolicExpression<V>

fn from(value: i64) -> Self

Converts to this type from the input type.

impl<V> From<usize> for SymbolicExpression<V>

fn from(value: usize) -> Self

Converts to this type from the input type.

impl<V> Mul<&SymbolicExpression<V>> for f64
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the * operator.

fn mul(self, rhs: &SymbolicExpression<V>) -> Self::Output

Performs the * operation. Read more

impl<V> Mul<SymbolicExpression<V>> for f64
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the * operator.

fn mul(self, rhs: SymbolicExpression<V>) -> Self::Output

Performs the * operation. Read more

impl<V> Mul<f64> for &SymbolicExpression<V>
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the * operator.

fn mul(self, rhs: f64) -> Self::Output

Performs the * operation. Read more

impl<V> Mul<f64> for SymbolicExpression<V>
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the * operator.

fn mul(self, rhs: f64) -> Self::Output

Performs the * operation. Read more

impl<V> Mul for &SymbolicExpression<V>
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self::Output

Performs the * operation. Read more

impl<V> Mul for SymbolicExpression<V>
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self::Output

Performs the * operation. Read more

impl<V: Ord> Ord for SymbolicExpression<V>

fn cmp(&self, other: &SymbolicExpression<V>) -> Ordering

This method returns an Ordering between self and other. Read more

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fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more

1.21.0 · source§

fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more

1.50.0 · source§

fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized + PartialOrd,

Restrict a value to a certain interval. Read more

impl<V: PartialEq> PartialEq for SymbolicExpression<V>

fn eq(&self, other: &SymbolicExpression<V>) -> bool

This method tests for self and other values to be equal, and is used by ==.

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

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

impl<V: PartialOrd> PartialOrd for SymbolicExpression<V>

fn partial_cmp(&self, other: &SymbolicExpression<V>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more

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

This method tests less than (for self and other) and is used by the < operator. Read more

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

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

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

This method tests greater than (for self and other) and is used by the > operator. Read more

1.0.0 · source§

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

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

impl<V> Sub<SymbolicExpression<V>> for f64
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the - operator.

fn sub(self, rhs: SymbolicExpression<V>) -> Self::Output

Performs the - operation. Read more

impl<V> Sub<f64> for SymbolicExpression<V>
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the - operator.

fn sub(self, rhs: f64) -> Self::Output

Performs the - operation. Read more

impl<V> Sub for SymbolicExpression<V>
where V: Clone + Eq,

type Output = SymbolicExpression<V>

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation. Read more

impl<V: Eq> Eq for SymbolicExpression<V>

impl<V> StructuralPartialEq for SymbolicExpression<V>

Auto Trait Implementations§

impl<V> UnwindSafe for SymbolicExpression<V>
where V: UnwindSafe,

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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where T: ?Sized,

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Immutably borrows from an owned value. Read more

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

Mutably borrows from an owned value. Read more

impl<T, U> CastInto for T
where U: CastFrom<T>,

fn cast_into(self) -> U

Performs the cast.

impl<Q, K> Comparable<K> for Q
where Q: Ord + ?Sized, K: Borrow<Q> + ?Sized,

fn compare(&self, key: &K) -> Ordering

Compare self to key and return their ordering.

impl<T> Conv for T

fn conv<T>(self) -> T
where Self: Into<T>,

Converts self into T using Into<T>. Read more

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where R: Region<Index = (usize, usize)>, O: OffsetContainer<usize>, T: CopyOnto<R>,

fn copy_onto( self, target: &mut ConsecutiveOffsetPairs<R, O> ) -> <ConsecutiveOffsetPairs<R, O> as Region>::Index

Copy self into the target container, returning an index that allows to look up the corresponding read item.

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fn __clone_box(&self, _: Private) -> *mut ()

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fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.

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fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. Read more

impl<Q, K> Equivalent<K> for Q
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fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.

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fn fmt_binary(self) -> FmtBinary<Self>
where Self: Binary,

Causes self to use its Binary implementation when Debug-formatted.

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where Self: Display,

Causes self to use its Display implementation when Debug-formatted.

fn fmt_lower_exp(self) -> FmtLowerExp<Self>
where Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted.

fn fmt_lower_hex(self) -> FmtLowerHex<Self>
where Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted.

fn fmt_octal(self) -> FmtOctal<Self>
where Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.

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where Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted.

fn fmt_upper_exp(self) -> FmtUpperExp<Self>
where Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted.

fn fmt_upper_hex(self) -> FmtUpperHex<Self>
where Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted.

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where &'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more

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Returns the argument unchanged.

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Converts to this type from a reference to the input type.

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