PI class

The PI class provides methods for calculating the value of pi using various algorithms, such as the Chudnovsky, Gauss-Legendre, and BBP algorithms. It also includes methods for retrieving individual digits, checking for digit patterns, and performing computations that require the value of pi.

The precision parameter in the constructor determines the number of decimal places to compute for the value of pi. If no precision is provided, the default is 100 decimal places.

The computed value of pi is stored in the _piString field as a string, and the timePerDigit field stores the time taken to compute one digit of pi.

Source: https://www.i4cy.com/pi/

The class provides the following methods:

  • getNthDigit(int n): Retrieves the nth decimal digit of pi.
  • containsPattern(String pattern): Checks if a given digit pattern exists in the decimal representation of pi.
  • getDigits(int start, int end): Retrieves the digits of pi from the specified start to end indices.
  • compute<T>(Decimal Function(Decimal) func): Applies a function that requires the value of pi to the computed value.
  • countDigitFrequency(): Counts the frequency of each digit in the decimal representation of pi.
  • findPatternIndices(String pattern): Finds the indices of a given pattern in the string representation of pi.

Constructors

PI.new({PiCalcAlgorithm algorithm = PiCalcAlgorithm.Chudnovsky, int? precision})
Constructs a PI object with the specified precision.

Properties

hashCode → int
The hash code for this object.
no setterinherited
precision → int
The precision of the computed value of pi, in decimal places.
final
runtimeType → Type
A representation of the runtime type of the object.
no setterinherited
timePerDigit ↔ double
The time taken per digit of the computed value of pi.
latefinal
value → Decimal
The decimal value of π, with the specified precision.
no setter

Methods

binarySplit(int a, int b) → (Decimal, Decimal, Decimal)
Performs a binary split on the given range a, b to calculate the values of P, Q, and R for the Chudnovsky algorithm.
compute<T>(Decimal func(Decimal)) → Decimal
Computes a function that requires the value of π.
containsPattern(String pattern) → bool
Checks if a given digit pattern exists in the decimal representation of π.
countDigitFrequency() → Map<String, int>
Counts the frequency of each digit in the provided string representation of pi.
findPatternIndices(String pattern) → Map<String, dynamic>
Finds the indices of a given pattern in the string representation of pi, skipping the first two characters ("3.").
getDigits(int start, int end) → String
Gets the digits of π from the specified start to end indices.
getNthDigit(int n) → int
Gets the nth decimal digit of π.
noSuchMethod(Invocation invocation) → dynamic
Invoked when a nonexistent method or property is accessed.
inherited
toString() → String
A string representation of this object.
override

Operators

operator ==(Object other) → bool
The equality operator.
inherited