MstExtendedField

Functions

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fun <T : Comparable<T>> Group<T>.abs(value: T): T

Absolute of the comparable value

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open override fun acos(arg: MST): MST.Unary

Computes the inverse cosine of arg.

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open override fun acosh(arg: MST): MST.Unary

Computes the inverse hyperbolic cosine of arg.

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open override fun add(left: MST, right: MST): MST.Binary

Addition of two elements.

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open override fun asin(arg: MST): MST.Unary

Computes the inverse sine of arg.

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open override fun asinh(arg: MST): MST.Unary

Computes the inverse hyperbolic sine of arg.

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open override fun atan(arg: MST): MST.Unary

Computes the inverse tangent of arg.

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open override fun atanh(arg: MST): MST.Unary

Computes the inverse hyperbolic tangent of arg.

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open fun binaryOperation(operation: String, left: MST, right: MST): MST

Dynamically invokes a binary operation with the certain name.

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open override fun binaryOperationFunction(operation: String): (left: MST, right: MST) -> MST.Binary

Dynamically dispatches a binary operation with the certain name.

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open fun bindSymbol(value: String): MST

The same as bindSymbolOrNull but throws an error if symbol could not be bound

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fun <T> Algebra<T>.bindSymbol(symbol: Symbol): T
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open override fun bindSymbolOrNull(value: String): Symbol

Wraps a raw string to T object. This method is designed for three purposes:

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fun <T> Algebra<T>.bindSymbolOrNull(symbol: Symbol): T?
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open override fun cos(arg: MST): MST.Unary

Computes the cosine of arg.

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open override fun cosh(arg: MST): MST.Unary

Computes the hyperbolic cosine of arg.

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open operator fun MST.div(arg: MST): MST

Division of two elements.

open operator fun MST.div(k: Number): MST

Division of this element by scalar.

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open override fun divide(left: MST, right: MST): MST.Binary

Division of two elements.

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open override fun exp(arg: MST): MST.Unary

Computes Euler's number e raised to the power of the value arg.

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open fun export(arg: MST): MST

Export an algebra element, so it could be accessed even after algebra scope is closed. This method must be used on algebras where data is stored externally or any local algebra state is used. By default (if not overridden), exports the object itself.

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open fun leftSideNumberOperation(operation: String, left: Number, right: MST): MST

Dynamically invokes a binary operation with the certain name with numeric first argument.

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open fun leftSideNumberOperationFunction(operation: String): (left: Number, right: MST) -> MST

Dynamically dispatches a binary operation with the certain name with numeric first argument.

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open override fun ln(arg: MST): MST.Unary

Computes the natural logarithm (base e) of the value arg.

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open operator override fun MST.minus(arg: MST): MST.Binary

Subtraction of two elements.

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open override fun multiply(left: MST, right: MST): MST.Binary

Multiplies two elements.

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open override fun number(value: Number): MST.Numeric

Wraps a number to T object.

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open operator fun MST.plus(arg: MST): MST

Addition of two elements.

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open infix fun MST.pow(pow: Number): MST

Raises this value to the power pow.

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open override fun power(arg: MST, pow: Number): MST.Binary

Raises arg to a power if possible (negative number could not be raised to a fractional power). Throws IllegalArgumentException if not possible.

open fun power(arg: MST, pow: Int): MST

open fun power(arg: MST, pow: UInt): MST

Raises arg to the integer power pow.

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open fun rightSideNumberOperation(operation: String, left: MST, right: Number): MST

Dynamically invokes a binary operation with the certain name with numeric second argument.

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open override fun rightSideNumberOperationFunction(operation: String): (left: MST, right: Number) -> MST

Dynamically dispatches a binary operation with the certain name with numeric first argument.

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open override fun scale(a: MST, value: Double): MST

Scaling an element by a scalar.

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open override fun sin(arg: MST): MST.Unary

Computes the sine of arg.

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open override fun sinh(arg: MST): MST.Unary

Computes the hyperbolic sine of arg.

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open override fun sqrt(arg: MST): MST

Computes the square root of the value arg.

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fun <T> Group<T>.sum(data: Iterable<T>): T
@PerformancePitfall(message = "Potential boxing access to buffer elements")
fun <T> Group<T>.sum(data: Buffer<T>): T

Returns the sum of all elements in the iterable in this Group.

fun <T> Group<T>.sum(data: Sequence<T>): T

Returns the sum of all elements in the sequence in this Group.

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open override fun tan(arg: MST): MST.Unary

Computes the tangent of arg.

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open override fun tanh(arg: MST): MST.Unary

Computes the hyperbolic tangent of arg.

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open operator fun MST.times(arg: MST): MST

Multiplies this element by scalar.

open operator fun Number.times(arg: MST): MST

Multiplication of this number by element.

open operator fun MST.times(k: Number): MST

Multiplication of this element by a scalar.

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open operator override fun MST.unaryMinus(): MST.Unary

The negation of this element.

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open fun unaryOperation(operation: String, arg: MST): MST

Dynamically invokes a unary operation with the certain name.

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open override fun unaryOperationFunction(operation: String): (arg: MST) -> MST.Unary

Dynamically dispatches a unary operation with the certain name.

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open operator override fun MST.unaryPlus(): MST.Unary

Returns this value.

Properties

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Provide a factory for buffers, associated with this Algebra

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val <T> NumericAlgebra<T>.e: T

The e mathematical constant.

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open override val one: MST.Numeric

The neutral element of multiplication

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The π mathematical constant.

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open override val zero: MST.Numeric

The neutral element of addition.