15 Jun 2017

Finding Intersection Point(s) of Two Circles

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This is a very common problem of finding the intersection point(s) of two circles. Visually, it is easy to define the three cases: no intersection, touching (single intersection point), and two intersection points. Analytically, mathematical calculations are required to work out the exact intersection position(s) (if any) by using the equations of the two circles. A more detailed explanation could be find from HERE and HERE.


Below, it's my implementation in Matlab. The inputs are c1 and c2, which are both vectors representing a circle in the format of [x,y,d]. The output is the point list matrix sorted using y coordinates. If there is no intersection, it is an empty matrix. For touching case, it is a single-row matrix (or vector) in the format of [x,y]. Otherwise, it is a 2*2 matrix forming by the coordinates of the two intersection points: [x1,y1;x2,y2].

5 Jun 2017

Excel Spreadsheet Format

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MS's flagship office suits are widely used everywhere, even by the calculation-extensive engineering world. There are always someone that like Excel much more than the others. From a software engineer's point of view, it might be more straightforward to extract information directly from the file itself. MS provides the COM objects. The .net platform also enables a more generic but user-friendly way of manipulating office documents including docx and xlsx files. If you'd like to stay ways from COM or .Net platform, you'd better to find another way of doing it. This article illustrates how. I will focus on excel file rather than docx. But the concept should be similar, unless you show me it's not the case :-)

4 May 2017

draw rectangle, polygon and circle in Matlab

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To draw these shapes in Matlab, different ways could be used to achieve this. Write your own function to use plot(), or use rectangle() or use patch().

Pros:
The rectangle() can be used to draw ellipse, circle, round-corner rectangle as well if you specify the 'Curvature' parameter.

The plot() and patch() uses the same input as (x,y) list, which means x, and y are vectors of corresponding coordinates. You can use these two function draw polygons with any number of points.

Cons:
rectangle() uses input as [x,y,w,h] rather than (x,y) list. rectangle() can only accept input as a 4 elements vector. It requires calling of daspect([1,1,1]) to make the equality along each axis. However, it is very handy if you are drawing proper rectangle and circle.

15 Feb 2017

Close all messageboxes in Matlab

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In matlab, user interaction could be easily achieved by using 'msgbox()' function. The format of calling the 'msgbox()' is: msgbox(msg,title,style,mode). It is also very useful to modify the 'style' parameters to customise the appearance of the message box. The build-in parameters are:
'none' - the default one if you didn't provide any parameter
'warn' - warning dialogue box
'help' - help dialogue box
'error' - error dialogue box

The last parameter 'mode' can be selected among 'modal', 'nonmodal', and 'replace'. Some examples are shown in the picture below.


But, how to close these dialogue boxes? You might though: are you kidding me? click on the button - that's as easy as breath. Yes, that's exactly what everyone will do for sure. Seriously, think about if you have hundreds, even thousands of these little evils created in a loop? - yeah, I know it's a bad idea to create these GUI elements in your code if you are doing something computational extensive. But I saw someone did this before. It might be a legacy code you are maintaining which never come across this warning before. Or you just started from a small dataset and need to debug in this way while you progresses gradually. It's even worse if you created these dialogue boxes using 'modal' mode - it means you can do nothing before closing them. That's the real nightmare!

Let's try to find a way of dealing with this!

21 Nov 2016

The Hardest 8-Puzzle

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If you are working on any 8-puzzle related tasks, try your method with the following initial board which is considered to be the hardest to solve. Actually, it requires 31 moves to solve.

8 6 7
2 5 4
3 0 1

Someone may prefer empty/space rather than using 0. But the concept keeps the same.

8 Nov 2016

matplotlib tips: draw circle, rectangle, save figure and maxmize figure

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matplotlib是一个非常强大的python库,拥有众多作图函数与matlab类似的语法,使用非常方便.但是经常有一些小问题需要处理.这里记下解决方案,涉及到: 画圆, 画矩形, 保存图片, 和图片默认最大化. 以后如果碰到其他问题再添加.