Quadrant | Gradle plugin for Android that makes navigation | Plugin library

This math is not platform specific and I'll take any language as an answer. This is difficult to explain why I'm doing this, but I'll try to include images.

I have a view (View A) that overlays a map as a container. The purpose is to contain our content while remaining fixed to the map as the user drags the map. That view has a coordinate system where it's origin is in the top left of the screen. It will be our absolute coordinate system, where we are trying to convert the positions to and from.

Next, we have a Rectangle that is formed in the intersection between View A and what is visible on the screen. I achieved that with the following property in my UIView:

To save performance on sin calls, and to handle integer angles, which are more portable manipulated and saved, instead of floating points as angles, I am building a sin lookup function, where 4096 units equals 2pi radians. To save memory, I only store the first 1024 sin values, which are equivalent to sin( [0, pi/2) ).

I wish to plot a 2D scatter plot with values in the range [-0.5, 0.5] and [-0.5,0.5] for x and y coordinates respectively

In a project using Matlab's C++ MEX API, I have to compute the value exp(j * 2pi * x) for over 100,000 values of x where x is always a positive double. I've written some helper functions that breakdown the computation into sin/cos using euler's formula. I then apply the method of range reduction to reduce my values to their corresponding points in the domain [0,T/4] where T is the period of the exponential I'm computing. I keep track of which quadrant in [0, T] the original value would have fallen into for later. I can then compute the trig function using a taylor series polynomial in horner form and apply the appropriate shift depending on which quadrant the original value was in. For further information on some of the concepts in this technique, check out this answer. Here is the code for this function:

I am wondering how to find the coordinates of the following point If I know two previous points and distance to the following point. For example:

I want to plot a scatter plot with facets and quadrants - and I want to display basic statistics like the mean, median, number of points in each quadrant etc on each facet + quadrant. My search lead me to stat_mean() function from ggpubr package, geom_quadrant_lines, and stat_quadrant_counts() from the ggpp package

However, with the stat_mean function I am able to print only the "mean" for the entire facet BUT not able to plot the mean for each quadrant. I am also unable to figure out the right way to get other statistics like median, correlation etc - both facet wise as well as quadrant wise.

Any help with this is highly appreciated!

I have another question. I have been following a tutorial for creating a QPSK demodulator. Here is the link: https://wiki.gnuradio.org/index.php/Guided_Tutorial_GNU_Radio_in_C%2B%2B I was able to fix a different issue and fixed a warning that I was receiving but, a new problem has come about and I can't seem to fix it. Here is the error:

I need to make this triangle (https://i.imgur.com/DKVMxfW.png) in turtle, but just can't quite get the dimensions right. In addition to this, I also need each quadrant of the triangle to display in a different color according to a list I have set... I can do that later. But I am having trouble getting the length/widths of the triangle to be correct. I will link a picture of something similar to what It needs to be here (https://i.imgur.com/E7Skzcc.png) This is the closest thing I could find that resembles that I need it to do. How do I use something like width, width * math.sqrt(2), and width to get the lengths and widths of the triangle? Any help is greatly appreciated. Sorry if my English is bad, it is not my first language. Below is what I have written so far.

I want create this chart in laravel using google chart or chartjs.

This is the quadrant chart image I want to create using Google Chart API:

Click here for a larger image.

This is my code so far: