|
| 1 | +/** |
| 2 | + helpers.cpp |
| 3 | +
|
| 4 | + Purpose: helper functions which are useful when |
| 5 | + implementing a 2-dimensional histogram filter. |
| 6 | +
|
| 7 | + This file is incomplete! Your job is to make the |
| 8 | + normalize and blur functions work. Feel free to |
| 9 | + look at helper.py for working implementations |
| 10 | + which are written in python. |
| 11 | +*/ |
| 12 | + |
| 13 | +#include <vector> |
| 14 | +#include <iostream> |
| 15 | +#include <cmath> |
| 16 | +#include <string> |
| 17 | +#include <fstream> |
| 18 | +#include "helpers.h" |
| 19 | +// #include "debugging_helpers.cpp" |
| 20 | + |
| 21 | +using namespace std; |
| 22 | + |
| 23 | +/** |
| 24 | + TODO - implement this function |
| 25 | +
|
| 26 | + Normalizes a grid of numbers. |
| 27 | +
|
| 28 | + @param grid - a two dimensional grid (vector of vectors of floats) |
| 29 | + where each entry represents the unnormalized probability |
| 30 | + associated with that grid cell. |
| 31 | +
|
| 32 | + @return - a new normalized two dimensional grid where the sum of |
| 33 | + all probabilities is equal to one. |
| 34 | +*/ |
| 35 | +vector< vector <float> > normalize(vector< vector <float> > grid) { |
| 36 | + // todo - your code here |
| 37 | + vector< vector <float> > newGrid; |
| 38 | + int height = grid.size(); |
| 39 | + int width = grid[0].size(); |
| 40 | + newGrid = zeros(height, width); |
| 41 | + int total; |
| 42 | + total = height*width; |
| 43 | + for (int i = 0; i < grid.size(); i++) { |
| 44 | + for (int j = 0; j < grid[i].size(); j++) { |
| 45 | + newGrid[i][j] = grid[i][j] / total; |
| 46 | + } |
| 47 | + } |
| 48 | + return newGrid; |
| 49 | +} |
| 50 | + |
| 51 | +/** |
| 52 | + TODO - implement this function. |
| 53 | +
|
| 54 | + Blurs (and normalizes) a grid of probabilities by spreading |
| 55 | + probability from each cell over a 3x3 "window" of cells. This |
| 56 | + function assumes a cyclic world where probability "spills |
| 57 | + over" from the right edge to the left and bottom to top. |
| 58 | +
|
| 59 | + EXAMPLE - After blurring (with blurring=0.12) a localized |
| 60 | + distribution like this: |
| 61 | +
|
| 62 | + 0.00 0.00 0.00 |
| 63 | + 0.00 1.00 0.00 |
| 64 | + 0.00 0.00 0.00 |
| 65 | +
|
| 66 | + would look like this: |
| 67 | + |
| 68 | + 0.01 0.02 0.01 |
| 69 | + 0.02 0.88 0.02 |
| 70 | + 0.01 0.02 0.01 |
| 71 | +
|
| 72 | + @param grid - a two dimensional grid (vector of vectors of floats) |
| 73 | + where each entry represents the unnormalized probability |
| 74 | + associated with that grid cell. |
| 75 | +
|
| 76 | + @param blurring - a floating point number between 0.0 and 1.0 |
| 77 | + which represents how much probability from one cell |
| 78 | + "spills over" to it's neighbors. If it's 0.0, then no |
| 79 | + blurring occurs. |
| 80 | +
|
| 81 | + @return - a new normalized two dimensional grid where probability |
| 82 | + has been blurred. |
| 83 | +*/ |
| 84 | +vector < vector <float> > blur(vector < vector < float> > grid, float blurring) { |
| 85 | + // your code here |
| 86 | + int height; |
| 87 | + height = grid.size(); |
| 88 | + int width; |
| 89 | + width = grid[0].size(); |
| 90 | + |
| 91 | + float center_prob; |
| 92 | + center_prob = 1.0-blurring; |
| 93 | + float corner_prob; |
| 94 | + corner_prob = blurring / 12.0; |
| 95 | + float adjacent_prob; |
| 96 | + adjacent_prob = blurring / 6.0; |
| 97 | + |
| 98 | + vector < vector <float> > window; |
| 99 | + vector<float> firstrow; |
| 100 | + firstrow.push_back(corner_prob); |
| 101 | + firstrow.push_back(adjacent_prob); |
| 102 | + firstrow.push_back(corner_prob); |
| 103 | + vector<float> secondrow; |
| 104 | + secondrow.push_back(adjacent_prob); |
| 105 | + secondrow.push_back(center_prob); |
| 106 | + secondrow.push_back(adjacent_prob); |
| 107 | + vector<float> thirdrow; |
| 108 | + thirdrow.push_back(corner_prob); |
| 109 | + thirdrow.push_back(adjacent_prob); |
| 110 | + thirdrow.push_back(corner_prob); |
| 111 | + window.push_back(firstrow); |
| 112 | + window.push_back(secondrow); |
| 113 | + window.push_back(thirdrow); |
| 114 | + |
| 115 | + vector < vector <float> > newGrid; |
| 116 | + vector<float> singlerow (width,0.0); |
| 117 | + for (int i = 0; i < height; i++) { |
| 118 | + newGrid.push_back(singlerow); |
| 119 | + } |
| 120 | + for (int i = 0; i < height; i++) { |
| 121 | + for (int j = 0; j < width; j++) { |
| 122 | + float grid_val; |
| 123 | + grid_val = grid[i][j]; |
| 124 | + for (int dx = -1; dx < 2; dx++) { |
| 125 | + for (int dy = -1; dy < 2; dy++) { |
| 126 | + float mult; |
| 127 | + mult = window[dx+1][dy+1]; |
| 128 | + int new_i; |
| 129 | + int new_j; |
| 130 | + new_i = (((i + dy) % height) + height) % height; |
| 131 | + new_j = (((j + dx) % width) + width) % width; |
| 132 | + newGrid[new_i][new_j] += mult * grid_val; |
| 133 | + } |
| 134 | + } |
| 135 | + } |
| 136 | + } |
| 137 | + return newGrid; |
| 138 | +} |
| 139 | + |
| 140 | +/** ----------------------------------------------- |
| 141 | +# |
| 142 | +# |
| 143 | +# You do not need to modify any code below here. |
| 144 | +# |
| 145 | +# |
| 146 | +# ------------------------------------------------- */ |
| 147 | + |
| 148 | + |
| 149 | +/** |
| 150 | + Determines when two grids of floating point numbers |
| 151 | + are "close enough" that they should be considered |
| 152 | + equal. Useful for battling "floating point errors". |
| 153 | +
|
| 154 | + @param g1 - a grid of floats |
| 155 | + |
| 156 | + @param g2 - a grid of floats |
| 157 | +
|
| 158 | + @return - A boolean (True or False) indicating whether |
| 159 | + these grids are (True) or are not (False) equal. |
| 160 | +*/ |
| 161 | +bool close_enough(vector < vector <float> > g1, vector < vector <float> > g2) { |
| 162 | + int i, j; |
| 163 | + float v1, v2; |
| 164 | + if (g1.size() != g2.size()) { |
| 165 | + return false; |
| 166 | + } |
| 167 | + |
| 168 | + if (g1[0].size() != g2[0].size()) { |
| 169 | + return false; |
| 170 | + } |
| 171 | + for (i=0; i<g1.size(); i++) { |
| 172 | + for (j=0; j<g1[0].size(); j++) { |
| 173 | + v1 = g1[i][j]; |
| 174 | + v2 = g2[i][j]; |
| 175 | + if (abs(v2-v1) > 0.0001 ) { |
| 176 | + return false; |
| 177 | + } |
| 178 | + } |
| 179 | + } |
| 180 | + return true; |
| 181 | +} |
| 182 | + |
| 183 | +bool close_enough(float v1, float v2) { |
| 184 | + if (abs(v2-v1) > 0.0001 ) { |
| 185 | + return false; |
| 186 | + } |
| 187 | + return true; |
| 188 | +} |
| 189 | + |
| 190 | +/** |
| 191 | + Helper function for reading in map data |
| 192 | +
|
| 193 | + @param s - a string representing one line of map data. |
| 194 | +
|
| 195 | + @return - A row of chars, each of which represents the |
| 196 | + color of a cell in a grid world. |
| 197 | +*/ |
| 198 | +vector <char> read_line(string s) { |
| 199 | + vector <char> row; |
| 200 | + |
| 201 | + size_t pos = 0; |
| 202 | + string token; |
| 203 | + string delimiter = " "; |
| 204 | + char cell; |
| 205 | + |
| 206 | + while ((pos = s.find(delimiter)) != std::string::npos) { |
| 207 | + token = s.substr(0, pos); |
| 208 | + s.erase(0, pos + delimiter.length()); |
| 209 | + |
| 210 | + cell = token.at(0); |
| 211 | + row.push_back(cell); |
| 212 | + } |
| 213 | + |
| 214 | + return row; |
| 215 | +} |
| 216 | + |
| 217 | +/** |
| 218 | + Helper function for reading in map data |
| 219 | +
|
| 220 | + @param file_name - The filename where the map is stored. |
| 221 | +
|
| 222 | + @return - A grid of chars representing a map. |
| 223 | +*/ |
| 224 | +vector < vector <char> > read_map(string file_name) { |
| 225 | + ifstream infile(file_name); |
| 226 | + vector < vector <char> > map; |
| 227 | + if (infile.is_open()) { |
| 228 | + |
| 229 | + char color; |
| 230 | + vector <char> row; |
| 231 | + |
| 232 | + string line; |
| 233 | + |
| 234 | + while (std::getline(infile, line)) { |
| 235 | + row = read_line(line); |
| 236 | + map.push_back(row); |
| 237 | + } |
| 238 | + } |
| 239 | + return map; |
| 240 | +} |
| 241 | + |
| 242 | +/** |
| 243 | + Creates a grid of zeros |
| 244 | +
|
| 245 | + For example: |
| 246 | +
|
| 247 | + zeros(2, 3) would return |
| 248 | +
|
| 249 | + 0.0 0.0 0.0 |
| 250 | + 0.0 0.0 0.0 |
| 251 | +
|
| 252 | + @param height - the height of the desired grid |
| 253 | +
|
| 254 | + @param width - the width of the desired grid. |
| 255 | +
|
| 256 | + @return a grid of zeros (floats) |
| 257 | +*/ |
| 258 | +vector < vector <float> > zeros(int height, int width) { |
| 259 | + int i, j; |
| 260 | + vector < vector <float> > newGrid; |
| 261 | + vector <float> newRow; |
| 262 | + |
| 263 | + for (i=0; i<height; i++) { |
| 264 | + newRow.clear(); |
| 265 | + for (j=0; j<width; j++) { |
| 266 | + newRow.push_back(0.0); |
| 267 | + } |
| 268 | + newGrid.push_back(newRow); |
| 269 | + } |
| 270 | + return newGrid; |
| 271 | +} |
| 272 | + |
| 273 | +// int main() { |
| 274 | +// vector < vector < char > > map = read_map("maps/m1.txt"); |
| 275 | +// show_grid(map); |
| 276 | +// return 0; |
| 277 | +// } |
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