{ From user Lonnie, Model Consecutive_sign_cha at 16-May-2016 4:07:17 PM, encoding="UTF-8" }
SoftwareVersion 4.7.0


{ System Variables with non-default values: }
SampleSize := 1000
TypeChecking := 1
Checking := 1
SaveOptions := 2
SaveValues := 0

NodeInfo FormNode: 1,0,0,1,0,0,0,,0,0,,0,0



Model Consecutive_sign_cha
Title: Consecutive sign changes
Description: Analytica challenge.~
================~
~
Write an expression that computes how many consecutive sign changes there have been at each cell along I. The sign of a number is -1 if the number is negative, 0 if it is 0, and 1 if it is positive.~
~
For example, given: [1, 2, -2, 2, 0, 1, 3, -1]~
The signs are: [1, 1, -1, 1, 0, 1, 1, -1]~
And the number of consecutive sign changes are: [ 0, 0, 1, 2, 3, 4, 0, 1 ]~

Author: Lonnie Chrisman~
Lumina Decision Systems
Date: Mon, May 16, 2016 3:51 PM
SaveAuthor: Lonnie
SaveDate: Mon, May 16, 2016 4:07 PM
DiagState: 2,1,0,960,585,17
WindState: 2,656,53,809,464
FontStyle: Arial,15
FileInfo: 0,Model Consecutive_sign_cha,2,2,0,0,C:\Users\Lonnie\Documents\Analytica\Mastering Array Abstraction\Consecutive sign changes.ana

Variable x
Title: x
Description: The data to be used, which of varying signs (-1, 0 or 1).
Definition: Table(I)(-2,0,-1,1,-1,2,0,0,0,1,2,0,0,2,1,-2,-1,1,-2,-1,0,1,-2,0,-2,-1,2,2,-2,-2,0,2,-1,1,1,2,-1,0,2,-1,1,2,2,1,-2,-1,0,0,0,1,0,-1,2,-1,2,2,2,-1,2,-1,-1,0,-2,-1,1,-2,0,-1,2,1,2,2,1,-1,1,-2,0,1,2,-2,0,2,1,0,0,-1,-1,-2,-2,-1,-2,-1,-1,-2,1,1,1,-1,-1,0,0,1,-1,1,1,0,2,1,1,1,1,1,2,-2,-1,0,-2,1,-1,1,0,-2,-2,1,2,-1,0,2,0,-2,-1,0,1,-2,-1,-1,1,2,2,1,-1,0,1,1,-1,-1,1,2,1,1,0,0,2,2,0,-2,0,-2,-2,0,1,-2,2,1,0,2,2,2,-1,2,0,-2,-1,2,1,0,-1,-2,2,0,-2,-2,-1,2,2,0,-2,0,0,-1,-2,-1,-1,2,1,-1,2,-2,-1,1,1,-1,1,2,0,-1,1,-1,-1,-1,1,2,1,-1,2,-2,0,-1,2,1,-2,2,0,1,0,-2,0,-1,0,0,-1,2,-2,-1,2,1,-1,0,1,1,-1,2,-2,0,1,1,2,0,1,-2,1,-1,1,-1,2,-2,1,-1,0,2,0,-1,0,2,1,-1,1,-2,1,-1,-2,0,-1,-2,1,0,-2,-1,-2,-2,-1,-2,-1,1,2,-2,-2,2,-1,-1,1,1,-1,0,1,2,1,1,-2,-1,-2,-1,-1,1,0,-1,2,1,0,-2,-1,1,1,2,-2,1,-2,-1,-2,1,2,-2,1,1,-1,1,-1,2,-1,-1,0,0,1,-2,-1,-1,0,0,2,-2,0,-1,-1,2,2,0,2,-2,2,1,-1,-2,0,-1,2,-2,0,1,-2,-2,0,-1,1,2,1,0,2,-2,0,0,2,2,0,-1,-1,1,2,2,-1,1,1,-1,2,2,0,1,0,1,-2,1,1,1,1,1,-1,2,-1,-1,0,0,-2,0,1,-1,-2,0,-2,0,2,2,0,2,-2,-2,2,2,-1,1,0,-1,1,0,2,1,-1,-1,1,0,-2,-2,1,2,0,-2,1,-2,-2,-2,-2,-2,-2,2,1,-1,2,0,1,-1,0,-2,2,0,-1,2,1,0,-1,0,-1,2,-1,1,2,-1,-1,-2,0,-1,1,-1,-1,-1,0,0,1,-2,2,1,-1,1,-2,-2,-1,0,2,-2,0,-2,-1,0,1,-2,2,2,0,1,-2,1,0,-2,-2,-1,0,2,1,0,-2,1,2,0,-1,1,1,2,2,-1,-2,-2,2,1,1,0,0,2,0,-1,-2,0,-1,1,-1,-1,-2,0,0,0,2,2,0,-1,1,1,-2,-1,2,1,0,-1,1,0,2,-2,0,1,2,2,-1,-2,2,1,2,1,1,2,-1,1,2,0,0,-1,-1,-1,2,-2,1,-2,1,2,-1,0,0,1,0,-1,0,0,1,0,-1,0,1,-1,1,1,-2,1,2,-1,0,-1,2,1,2,-2,-1,2,-1,-1,-2,-1,2,-2,0,1,2,2,-1,2,2,-2,0,1,-1,0,0,1,0,0,2,0,1,2,-1,0,1,1,2,-1,0,-2,-2,2,-2,2,2,0,-2,-1,-2,2,2,2,2,-2,-1,2,1,-2,-1,0,0,-2,-1,1,2,0,-2,-1,-2,-2,2,-2,-2,0,0,2,0,0,0,1,1,2,0,-1,-2,0,2,-1,-1,-1,-2,0,0,-2,0,-2,1,-2,0,-1,0,2,0,-1,-2,0,-2,-2,-2,2,0,0,2,0,2,0,-2,1,0,1,-2,-1,0,-2,2,-1,1,1,2,0,0,2,-2,-2,1,-1,2,-1,1,-2,0,-1,1,-1,-1,-1,-2,2,1,-2,-1,-1,-2,-1,2,2,1,1,1,-2,-1,0,0,2,-1,-1,0,2,2,-2,0,-2,-2,2,0,2,1,-1,1,2,-2,-1,-1,2,1,-2,2,1,1,1,-2,-1,0,-1,2,2,0,-2,2,2,0,2,-2,-2,-1,1,1,0,-1,2,2,0,2,1,1,-1,1,0,-2,1,-2,0,0,-2,-1,2,2,-2,-1,2,0,0,-1,0,1,-1,-2,-2,-1,2,-2,2,0,0,0,-2,-1,0,-1,-1,-1,2,-1,0,-1,0,1,2,-1,0,-2,1,-1,1,2,0,0,0,-2,-2,0,-1,-1,0,1,0,0,-1,0,-1,2,2,1,-1,2,-2,-1,0,-2,0,1,1,0,-1,0,-2,1,-1,-1,1,1,1,2,-2,1,0,-1,1,-1,-1,-2,-1,1,1,1,1,-2,-1,-1,1,-2,-2,0,-1,1,1,0,-2,0,2,1,1,-2,-2,1,1,-1,1,0,-1,-2,2,-2,0,-1,-2,1,-1,2,1,0,-2,0,-1,-1,1,1,0,-2,0,-1,2,0,0,-2,0,2,1,2,2,0,-2,1,1,-2,2,-2,-2,-1,0,-1,-2,-1,2,-2,1,-1,2,0,0,-2,1,-2,-2,-1,0,1,-1,1,-1)
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ValueState: 2,1128,16,416,762,,MIDM
DisplayOutputs: Variable Number_of_consecutiv

Index I
Title: I
Definition: 1..1000
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Variable Number_of_consecutiv
Title: Number of consecutive sign changes numbers
Description: Fill in this Definition with an expression that computes the number of consecutive sign changes. The sign of a number is either -1, 0 or 1 depending of whether the number is negative, zero or positive. If the sign in the same as the previous cell along I, then the number of consecutive sign changes is 0. If the sign has changed, then it is 1 more than the value for the previous cell.
NodeLocation: 384,136,1
NodeSize: 56,56
WindState: 2,732,442,720,350
ValueState: 2,631,8,490,530,,MIDM
DisplayInputs: Variable x

Variable Answer___Number_of_c
Title: Answer: ~
Number of consecutive sign changes numbers
Description: There are many other solutions possible. This is probably the most efficient one.
Definition: Cumulate(1, I, reset:sign(x) = sign(x[@I=@I-1])) - 1
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ValueState: 2,631,8,490,530,,MIDM

Text Te1463439453
Description: Fill in the definition of this node:
NodeLocation: 384,136,-1
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NodeInfo: 1,0,0,1,1,1,0,,0,,0

Text Te1463439486
Description: Don't peek at this definition until you've attempted it yourself. You can look at the result to understand what you should compute.
NodeLocation: 192,392,-1
NodeSize: 152,104
NodeInfo: 1,0,0,1,1,1,0,,0,,0

Button View_description_of_
Title: View description of task
NodeLocation: 560,84,1
NodeSize: 48,36
OnClick: ShowWindow(Consecutive_sign_cha,"Object")

Close Consecutive_sign_cha