I am trying to see if a point is within a triangle in which it’s 3 points are in cartesian space. I used bresenham to outline the coordinates for you, all of that area should be filled with white pixels and that area only. I am using tinyrenderer https://github.com/ssloy/tinyrenderer/wiki/Lesson-2:-Triangle-rasterization-and-back-face-culling as a guideline. I converted his stuff from his setup to mine.

```
void computeTriangle(Vec2i a, Vec2i b, Vec2i c, TGAImage &image, TGAColor color) {
//find bounding box dimensions
int maxX = a.x;
int maxY = a.y;
int minX = a.x;
int minY = a.y;
//max coordinate
if (maxX <= b.x) {
maxX = b.x;
}
if (maxX <= c.x) {
maxX = c.x;
}
if (maxY <= b.y) {
maxY = b.y;
}
if (maxY <= c.y) {
maxY = c.y;
}
//min coordinate
if (minX >= b.x) {
minX = b.x;
}
if (minX >= c.x) {
minX = c.x;
}
if (minY >= b.y) {
minY = b.y;
}
if (minY >= c.y) {
minY = c.y;
}
minX--;
minY--;
maxX++;
maxY++;
//bound loop
for (int pX=minX; pX<=maxX; pX++) {
for (int pY=minY; pY<=maxY; pY++) {
Vec3f u = cross(Vec3f(c.x - a.x, b.x - a.x, a.x - pX), Vec3f(c.y - a.y, b.y - a.y, a.y - pY));
Vec3f bcScreen;
if (std::abs(u.z)<1) {
bcScreen = Vec3f(-1,1,1);
} else {
bcScreen = Vec3f(1.f-(u.x+u.y)/u.z, u.y/u.z, u.x/u.z);
}
if (bcScreen.x<0 || bcScreen.y<0 || bcScreen.z<0) {
image.set(pX, pY,color);
}
}
}
}
```

Source: Windows Questions C++