first pass at polygon selection of hexes

src/gooey.h

@@ -59,7 +59,7 @@ renderGooey(SDL_Handles &handles, HexDrawMode &mode, bool &is_debug,
 	window_flags |= ImGuiWindowFlags_NoCollapse;
 
 	ImGui::SetNextWindowPos(ImVec2(0,0));
-	ImGui::SetNextWindowSize(ImVec2(300, 550));
+	ImGui::SetNextWindowSize(ImVec2(300, 720));
 	ImGui::SetNextWindowBgAlpha(0.3f);
 	bool show_window;
 	ImGui::Begin("", &show_window, window_flags);

src/hexgame.cpp

@@ -175,15 +175,40 @@ updateHexConeFill(int32 x, int32 y)
 	if (hxi && (hxi != g_game_state->current_hex) && g_game_state->start_hex)
 	{
 		g_game_state->current_hex = hxi;
+		vector<Hex> hexes = hex_conefill(g_game_state->start_hex->hex, hxi->hex);
+		
+		// TODO: Remove debug code here and from gooey.h
+		Point p1(g_game_state->start_hex->XPos, g_game_state->start_hex->YPos);
+		Point p2(g_game_state->current_hex->XPos, g_game_state->current_hex->YPos);
+		real64 angle = std::atan2(p2.y - p1.y, p2.x - p1.x);
+		real64 len = std::hypot(p2.y - p1.y, p2.x - p1.x);
+		real64 coneAngle = 30.f * M_PI / 180; // M_PI is non-standard and may not be portable
+		
+		real64 x1 = len * std::cos(angle);
+		real64 y1 = len * std::sin(angle);
+		// top of cone
+		real64 topX = x1 * std::cos(coneAngle) - y1 * std::sin(coneAngle) + p1.x;
+		real64 topY = x1 * std::sin(coneAngle) + y1 * std::cos(coneAngle) + p1.y;
+		// bottom of cone
+		real64 botX = x1 * std::cos(coneAngle) + y1 * std::sin(coneAngle) + p1.x;
+		real64 botY = x1 * std::sin(-1 * coneAngle) + y1 * std::cos(coneAngle) + p1.y;
+
+		hex_info* topHex = getSingleHex(topX, topY);
+		hex_info* botHex = getSingleHex(botX, botY);
+
+		if (topHex && botHex)
+		{
+			Point test_p;
+			Point vert2 = Point(botHex->XPos, botHex->YPos);
+			Point vert4 = Point(topHex->XPos, topHex->YPos);
+			std::vector<Point> vertices = {p1, vert2, p2, vert4};
 
 			for (hex_info &h : *g_game_state->hex_array)
 			{
-			// TODO: define a system of linear inequalities in hex-space to represent
-			// 	cones/arbitrary polygons
-			if (&h == g_game_state->start_hex)
-				continue;
+				test_p.x = h.XPos;
+				test_p.y = h.YPos;
 
-			if (hex_equal(h.hex, hxi->hex))
+				if (crossingTest(vertices, test_p))
 				{
 					h.selected = true;
 					h.current_color = g_render_state->selected_fill_color;
@@ -196,6 +221,7 @@ updateHexConeFill(int32 x, int32 y)
 			}
 		}
 	}
+}
 
 void
 handleMouseDown(SDL_MouseButtonEvent &e)
@@ -385,7 +411,7 @@ int main(int argc, char* argv[])
 	g_game_state->is_selecting = false;
 	g_game_state->start_hex = 0x0;
 	g_game_state->current_hex = 0x0;
-	g_game_state->draw_mode = LINE;
+	g_game_state->draw_mode = CONE_FILL;
 
 	// init global render state
 	g_render_state = new render_state();

src/hexlib.h

@@ -263,9 +263,77 @@ vector<Point> polygon_corners(Layout layout, Hex h)
 // custom hex functions
 
 
-bool hex_equal(Hex a, Hex b)
+bool
+hex_equal(Hex a, Hex b)
 {
 	return (a.q == b.q && a.r == b.r && a.s == b.s);
 }
 
+vector<Hex>
+hex_conefill(Hex a, Hex b)
+{
+	vector<Hex> results = {};
+	
+	return results;
+}
+
+// NOTE: implementation of this line crossing test
+// https://graphics.stanford.edu/pub/Graphics/RTNews/html/rtnv5n3.html#art3
+// NOTE: assumes use of convex polygons with vertices in CCW layout
+bool
+crossingTest(vector<Point> vertices, Point p)
+{
+	int numVertices = vertices.size(), intersect_count = 0;
+	Point vert0, vert1;
+	double m, x;
+
+	if (numVertices < 3)
+		return false;
+ 
+	vert0 = vertices[0];
+ 
+	for (int i = 1; i < numVertices + 1; i++)
+	{
+		// use first vertex for the last edge
+		if (i == numVertices)
+			vert1 = vertices[0];
+		else
+			vert1 = vertices[i];
+ 
+		// check if edge can intersect the +X ray
+		if ((vert0.y >= p.y && vert1.y <= p.y) ||
+			(vert0.y <= p.y && vert1.y >= p.y))
+		{
+			// TODO: these checks for undefined is pretty hacky
+			double dx = vert1.x - vert0.x;
+			// solve for point on edge where y = p.y
+			if (dx == 0) // don't divide by zero
+				x = (vert0.x == 0) ? 1 : vert0.x;
+			else
+			{
+				double dm = vert1.x - vert0.x;
+				if (dm == 0) // don't divide by 0
+					x = (vert0.x == 0) ? 1 : vert0.x;
+				else
+				{
+					m = (vert1.y - vert0.y) / (dm);
+					x = (p.y - vert0.y) / m + vert0.x;
+				}
+			}
+			// if x is right of p.x it must intersect
+			if (x >= p.x)
+				intersect_count++;
+ 
+			// 2 intersections of convex polygon means we started outside
+			if (intersect_count > 1)
+				return false;
+		}
+ 
+		// start with previous vertex on next loop
+		vert0 = vert1;
+	}
+ 
+	return (intersect_count == 1);
+}
+
 #endif // HEXLIB_H

src/renderer.h

@@ -97,6 +97,7 @@ gl_render_group g_debug_render_group;
 // Interface
 
 bool initRenderer(SDL_Handles &handles, v2i vpDims);
+bool addTexture(SDL_Handles &handles, std::string path);
 bool createScene(std::vector<hex_info>* hexes);
 void renderFrame(const std::vector<hex_info> *hexes);
 void renderDebug(hex_info *start_hex, hex_info * current_hex);