RE: Suggestion for improvement of Temperature Map for Cube decisions.

[Ian Shaw]

Oops, I thought I'd started a $ in my previous post, but it was a 3-pointer! 

The values in this money game DO look to be on a consistent scale.  So, you are 
correct that the issue only affects match play. 
My observations about the shading are still correct. 

0HPhATDgc/ABMA:MAEAAAAAAAAA

Cube analysis
2-ply cubeless equity +0.021
  0.506 0.146 0.010 - 0.494 0.140 0.007
Cubeful equities:
1. No double           +0.031
2. Double, pass        +1.000  (+0.969)
3. Double, take        -0.293  (-0.324)
Proper cube action: No double, beaver (25.1%)



-----Original Message-----
From: bug-gnubg-bounces+ian.shaw=riverauto.co.uk@gnu.org 
<bug-gnubg-bounces+ian.shaw=riverauto.co.uk@gnu.org> On Behalf Of Ian Shaw via 
Bug reports for and general discussion about GNU Backgammon.
Sent: Thursday, February 22, 2024 9:04 AM
To: Philippe Michel <philippe.michel7@free.fr>
Cc: bug-gnubg@gnu.org
Subject: RE: Suggestion for improvement of Temperature Map for Cube decisions.

I get the same issue in a $ game. 

0HPhATDgc/ABMA:MAFgAAAAAAAE

Cube analysis
2-ply cubeless equity +0.024 (Money: +0.021)
  0.506 0.147 0.010 - 0.494 0.140 0.008
Cubeful equities:
1. No double           +0.028
2. Double, pass        +1.000  (+0.972)
3. Double, take        -0.265  (-0.293)
Proper cube action: No double, take (23.2%)

The top-left corner reads:
Centred-1-cube =        +0.34 (1-ply)   +0.022 (2-ply)
Player0 owns 2-cube:    -0.134 (1-ply)  -0.129 (2-ply)
(I couldn't get the values to match the Analysis Pane exactly. I would expect 
either 2-ply to match 2-ply, or 1-ply map to match 2-ply overall - since the 
map is inherently 1-ply deeper than the overall analysis.)

The range of the scale bar is -0.701 to +0.560 but the limits of the map are:
1-cube 44 = +0.560
2-cube 52 = -0.333 (doubled  = -0.666)

I think the colouring of the 2-cube side uses the doubled values:
1-cube 42:       +0.173         rgb(255, 78, 78) is paler than 
2-cube 66:       +0.162 rgb(255, 44, 44)


-----Original Message-----
From: Philippe Michel <philippe.michel7@free.fr>
Sent: Wednesday, February 21, 2024 9:49 PM
To: Ian Shaw <Ian.Shaw@riverauto.co.uk>
Cc: bug-gnubg@gnu.org
Subject: Re: Suggestion for improvement of Temperature Map for Cube decisions.

On Wed, Feb 21, 2024 at 10:08:49AM +0000, Ian Shaw wrote:

> In the Facebook group Backgammon News, Wayne Joseph raised some 
> questions about the values displayed in the Temperature map. I've 
> posted extracts from the discussion below for context, but the gist of 
> it is.
> 
> The user was confused by the equities in the Temperature map being 
> normalised to a 1-cube for both cube actions. This obscures the effect 
> of doubling the stakes.
> 
> 
> 1. I think the values in the doubled part of the map should be 
> normalised to a 2-cube rather than a 1 cube.

This looks like a bug when the position is from match play. For money play the 
numbers are right (or at least they seem reasonable and the extreme values 
match the scale).