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RectCount ( pieceA ; pieceB ; materialA ; materialB )


Ender
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Name & Parameters: [color:red][big] RectCount ( pieceA ; pieceB ; materialA ; materialB ) [/big]

Description: Returns the number of rectangles (with dimensions PieceA x PieceB,) that can be cut from an area of materials (with dimensions MaterialA x MaterialB.

Sample Input:

RectCount(20;30;40;80)

Results:

5

Recursive: yes

Formula:

//RectCount ( pieceA ; pieceB ; materialA; materialB )



/*

Returns the number of rectangles (with dimensions PieceA x PieceB,) that can be cut from an area of materials (with dimensions MaterialA x MaterialB.)



Sub function of: RectCoordinatesSub().

CFs Required:  None



10-13-2005

Rev: 7-29-06

By Mike Hackett

*/



Case((materialA * materialB) / (pieceA * pieceB) < 125; 

  Let(

  [

    PieceLongSide = Max(pieceA; pieceB);

    PieceShortSide = Min(pieceA; pieceB);

    MaterialLongSide = Max(materialA; materialB);

    MaterialShortSide = Min(materialA; materialB;);



    /*Check the count with first cutting hozontal pieces from horizontal material.*/

    CountRows = Case(materialLongSide ≥ pieceLongSide and Div(materialShortSide; pieceShortSide)>0; 

                               Div(materialShortSide; pieceShortSide) + 

                                    RectCount(pieceA; pieceB; materialShortSide; materialLongSide - pieceLongSide));



    /*Check the count with first cutting vertical pieces from horizontal material.*/

    CountColumns = Case(materialShortSide ≥ pieceLongSide and Div(materialLongSide; pieceShortSide)>0; 

                               Div(materialLongSide; pieceShortSide) + 

                                    RectCount(pieceA; pieceB; materialLongSide; materialShortSide - pieceLongSide))

  ];



  /*Return the greater count*/

  Max(countrows; countcolumns)

  );

  "Too many pieces to calculate."

) 

Required Functions:

Author(s):) Ender

Date: 07/29/06

Credits: Based on the discussion in this thread: http://www.fmforums.com/forum/showtopic.php?tid/170643/

Disclaimer:

FM Forums does not endorse or warrantee these files are fit for any particular purpose. Do not post or distribute files without written approval from the copyright owner. All files are deemed public domain unless otherwise indictated. Please backup every file that you intend to modify.

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