Struct julia_set::Function

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

Parsed complex-valued function of a single variable.

A Function instance can be created using FromStr trait. A function must use z as the (only) argument. A function may use arithmetic operations (+, -, *, /, ^) and/or predefined unary functions:

  • General functions: arg, sqrt, exp, log
  • Hyperbolic trigonometry: sinh, cosh, tanh
  • Inverse hyperbolic trigonometry: asinh, acosh, atanh

A function may define local variable assignment(s). The assignment syntax is similar to Python (or Rust, just without the let keyword): variable name followed by = and then by the arithmetic expression. Assignments must be separated by semicolons ;. As in Rust, the last expression in function body is its return value.

§Examples

let function: Function = "z * z - 0.5".parse()?;
let fn_with_calls: Function = "0.8 * z + z / atanh(z ^ -4)".parse()?;
let fn_with_vars: Function = "c = -0.5 + 0.4i; z * z + c".parse()?;

Trait Implementations§

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impl Backend<&Function> for Cpu

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type Error = Infallible

Error that may be returned during program creation.
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type Program = CpuProgram<Function>

Program output by the backend.
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fn create_program( &self, function: &Function, ) -> Result<Self::Program, Self::Error>

Creates a program. Read more
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impl Backend<&Function> for OpenCl

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type Error = Error

Error that may be returned during program creation.
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type Program = OpenClProgram

Program output by the backend.
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fn create_program( &self, function: &Function, ) -> Result<Self::Program, Self::Error>

Creates a program. Read more
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impl Backend<&Function> for Vulkan

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type Error = Error

Error that may be returned during program creation.
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type Program = VulkanProgram

Program output by the backend.
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fn create_program( &self, function: &Function, ) -> Result<Self::Program, Self::Error>

Creates a program. Read more
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impl Clone for Function

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fn clone(&self) -> Function

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
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impl ComputePoint for Function

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fn compute_point(&self, z: Complex32) -> Complex32

Available on crate feature cpu_backend only.
Computes the function value at the specified point.
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impl Debug for Function

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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 FromStr for Function

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type Err = FnError

The associated error which can be returned from parsing.
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fn from_str(s: &str) -> Result<Self, Self::Err>

Parses a string s to return a value of this type. Read more

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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default unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. 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.