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/** @author  John Miller
 *  @version 1.5
 *  @date    Sun Jul 15 16:50:28 EDT 2018
 *  @see     LICENSE (MIT style license file).
 *
 *  @see http://www.scala-lang.org/node/724
 *  @see http://www.scala-lang.org/old/node/12014.html
 */

package scalation

import math.FunctionS2S

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/** The `linalgebra` package contains classes, traits and objects for
 *  linear algebra, including vectors and matrices for real and complex numbers.
 */
package object linalgebra
{ 
    /** The type definitions for functions involving base types from `linalgebra` (f: T => T), 
     *  where T is a vector or matrix.
     *  @see also `scalation.math`
     */
//  type FunctionS2S  = Double  => Double      // function of a scalar - Double - in `math`
    type FunctionV2S  = VectorD => Double      // function of a vector - VectorD
    type FunctionV_2S = VectoD  => Double      // function of a vector - VectoD  - base trait
    type FunctionV2V  = VectorD => VectorD     // vector-valued function of a vector - VectorD
    type FunctionV_2V = VectoD  => VectoD      // vector-valued function of a vector - VectoD  - base trait
    type FunctionM2M  = MatrixD => MatrixD     // matrix-valued function of a matrix - MatrixD
    type FunctionM_2M = MatriD  => MatriD      // matrix-valued function of a matrix - MatriD  - base trait

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    /** Vectorize a scalar function (S2S) to create a vector function (V_2V).
     *  @param f  the scalar function to vectorize
     */
    def vectorize (f: FunctionS2S): FunctionV_2V = (x: VectoD) => x.map (f(_))

    //::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
    /** Matrixize a scalar function (S2S) to create a matrix function (M_2M).
     *  @param f  the scalar function to matrixize
     */
    def matrixize (f: FunctionV_2V): FunctionM_2M = (x: MatriD) => x.map (f(_))

} // linalgebra package object