CPU Particles not emitting in correct direction with double precision

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Tested versions

• Reproducible in: Godot Engine v4.3.dev.mono.custom_build.a47830c66 (double precision enabled)
• Not Reproducible in: Godot Engine v4.3.dev.mono.custom_build.a47830c66 (double precision disabled)

System information

Godot v4.3.dev.mono (a47830c66) - Pop!_OS 22.04 LTS - Wayland - Vulkan (Mobile) - dedicated Intel(R) Arc(tm) A750 Graphics (DG2) () - AMD Ryzen 7 5800X 8-Core Processor (16 Threads)

Issue description

This was discovered when testing the billboards issue over here: #89020.

I think they may be 2 different issues so I'm opening up a separate one for the sake of tracking. Without further ado:

When running Godot with double precision, rotating the particles in 3d space has no effect on the direction particles are emitted in. The builds without double precision do work though. Here are some pictures showing without and with double precision:

Double Precision Disabled

Double Precision Enabled

Steps to reproduce

1. Open the MSRP
2. Make sure you have a build of godot with and without double precision enabled.
3. See that the particles emit in the correct direction without double precision.
4. See that they do not respect rotation and emit in the wrong direction with double precision.

Minimal reproduction project (MRP)

GodotCpuParticlesBug.zip

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I also just noticed that the double precision build is correctly shrinking over its lifetime but the double precision disabled build is not. Potentially another bug? Double precision build finally gets a win? :)