Checking to see if 3 points are on the same line
You can check if the area of the ABC triangle is 0: [ Ax * (By – Cy) + Bx * (Cy – Ay) + Cx * (Ay – By) ] / 2 Of course, you don’t actually need to divide by 2.
You can check if the area of the ABC triangle is 0: [ Ax * (By – Cy) + Bx * (Cy – Ay) + Cx * (Ay – By) ] / 2 Of course, you don’t actually need to divide by 2.
I hope this code can help: import java.util.Stack; public class BalancedParenthensies { public static void main(String args[]) { System.out.println(balancedParenthensies(“{(a,b)}”)); System.out.println(balancedParenthensies(“{(a},b)”)); System.out.println(balancedParenthensies(“{)(a,b}”)); } public static boolean balancedParenthensies(String s) { Stack<Character> stack = new Stack<Character>(); for(int i = 0; i < s.length(); i++) { char c = s.charAt(i); if(c == ‘[‘ || c == ‘(‘ || c … Read more
Here’s some code for sampling without replacement based on Algorithm 3.4.2S of Knuth’s book Seminumeric Algorithms. void SampleWithoutReplacement ( int populationSize, // size of set sampling from int sampleSize, // size of each sample vector<int> & samples // output, zero-offset indicies to selected items ) { // Use Knuth’s variable names int& n = sampleSize; … Read more
No your algorithm is not scalable. What I’ve done before is to issue numbers serially (+1 each time) and then pass them through an XOR operation to jumble the bits thus giving me a seemingly random numbers. Of course they aren’t really random, but they look so to users eyes. [Edit] Additional information This algorithm’s … Read more
I am assuming that you store the frequencies as floating point numbers between 0 and 1 that total to make 1. First you should prepare a table of cumulative frequencies, i.e. the sum of the frequency of that letter and all letters before it. To simplify, if you start with this frequency distribution: A 0.1 … Read more
It works! In an earlier iteration of the Johnson algorithm, I had supposed that A was an adjacency matrix. Instead, it appears to represent an adjacency list. In that example, implemented below, the vertices {a, b, c} are numbered {0, 1, 2}, yielding the following circuits. Addendum: As noted in this proposed edit and helpful … Read more
Very interesting question. I wanted to implement this into mine 4D rendering engine as I was curious how would it look like but I was too lazy and incompetent to handle ND transcendent problems from the math side. Instead I come up with different solution to this problem. Its not a Fibonaci Latice !!! Instead … Read more
if (X1+W1<X2 or X2+W2<X1 or Y1+H1<Y2 or Y2+H2<Y1): Intersection = Empty else: Intersection = Not Empty If you have four coordinates – ((X,Y),(A,B)) and ((X1,Y1),(A1,B1)) – rather than two plus width and height, it would look like this: if (A<X1 or A1<X or B<Y1 or B1<Y): Intersection = Empty else: Intersection = Not Empty
Breadth-first search traverses a graph and in fact finds all paths from a starting node. Usually, BFS doesn’t keep all paths, however. Instead, it updates a prededecessor function π to save the shortest path. You can easily modify the algorithm so that π(n) doesn’t only store one predecessor but a list of possible predecessors. Then … Read more
With static (lexical) scoping, the structure of the program source code determines what variables you are referring to. With dynamic scoping, the runtime state of the program stack determines what variable you are referring to. This is likely a very unfamiliar concept, since basically every programming language in wide use today (except perhaps emacs lisp) … Read more