Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Compute the signed area of a polygon
ResourceFunction["SignedArea"][pts] computes the signed area of a polygon built out of pts in the given order. |
Calculate the signed area of a square:
In[1]:= |
Out[1]= |
Calculate the area of a set of points making a simple polygon:
In[2]:= |
Out[3]= |
Show the counterclockwise nature of the original points:
In[4]:= |
Out[4]= |
Rotating the points does not change the signed area:
In[5]:= |
Out[5]= |
Reversing the order of the points reverses the sign of the area:
In[6]:= |
Out[6]= |
Swapping the coordinates also makes the signed area negative:
In[7]:= |
Out[7]= |
Find the signed area of a Polygon:
In[8]:= |
Out[8]= |
Find the signed area of a regular polygon:
In[9]:= |
Out[9]= |
Create ten simple random polygons:
In[10]:= |
Calculate the signed areas:
In[11]:= |
Out[11]= |
Use the Area function instead. Note the increased time:
In[12]:= |
Out[12]= |
Use SignedArea to find the winding numbers:
In[13]:= |
Out[13]= |
Polygons from RandomPolygon have a positive signed area:
In[14]:= |
Out[14]= |
Run a timing test between SignedArea and Area:
In[15]:= |
In[16]:= |
Out[16]= |
In[17]:= |
Out[17]= |
Wolfram Language 13.0 (December 2021) or above
This work is licensed under a Creative Commons Attribution 4.0 International License