Add minimum vertical and horizontal angle calculations

[Copilot]

Adds display of minimum vertical and horizontal angles based on anchor spacing and work area dimensions.

Changes

Calculations

• Horizontal Gap = (Width - Work Area Width) / 2
• Vertical Gap = (Height - Work Area Height) / 2
• Vertical Minimum Angle = arctan(Vertical Gap / (Horizontal Gap + Work Area Width))
• Horizontal Minimum Angle = arctan(Horizontal Gap / (Vertical Gap + Work Area Height))

UI

• New "Minimum Angles" section in controls panel
• Displays angles in degrees (2 decimals) and sine values (4 decimals)
• Updates dynamically when dimensions change

Implementation

Added updateMinimumAngles() function that computes angles from current dimensions:

function updateMinimumAngles() {
    const width = trX;
    const height = tlY;
    const horizontalGap = (width - woodWidth) / 2;
    const verticalGap = (height - woodHeight) / 2;
    
    const verticalMinAngleRad = Math.atan(verticalGap / (horizontalGap + woodWidth));
    const horizontalMinAngleRad = Math.atan(horizontalGap / (verticalGap + woodHeight));
    // ... convert to degrees and update display
}

Screenshots

Original prompt

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This section details on the original issue you should resolve

<issue_title>Display minimum Vertical and Horizontal angles</issue_title>
<issue_description>The Layout-Simulator should display two new text outputs, the Vertical Minimum Angle and Horizontal Minimum Angle.

Two intermediate values are needed:
Horizontal Gap = (Width - Work Area Width) / 2
Vertical Gap = (Height - Work Area Height) / 2

From those, the Vertical Minimum Angle and Horizontal Minimum Angle can be calculated using the right angled triangle formula.

The Vertical Minimum Angle should be calculated with the Adjacent side = Horizontal Gap + Work Area Width, and the Opposite side = Vertical Gap.

The Horizontal Minimum Angle should be calculated with the Adjacent side = Vertical Gap + Work Area Height, and the Opposite side = Horizontal Gap.

An additional feature could also be to add the sin of each of Vertical Minimum Angle and Horizontal Minimum Angle as additional outputs.</issue_description>

Comments on the Issue (you are @copilot in this section)

• Fixes Display minimum Vertical and Horizontal angles #1

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[BarbourSmith]

@DaveCoulthurst here is what the AI came up with:

index.html

You should be able to just double click it and it will open in a browser tab. If you have any feedback feel free to comment it here and I'll relay it to the AI

[DaveCoulthurst]

Maths checked, LGTM.

Do you want me to try and write an explanation of what / why it is, or not clutter things up?

[BarbourSmith]

I saw some discussion in the forums that maybe this isn't the right approach? Does this still seem right?