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| 1 | +/* |
| 2 | + * Copyright 2023 The Android Open Source Project |
| 3 | + * |
| 4 | + * Licensed under the Apache License, Version 2.0 (the "License"); |
| 5 | + * you may not use this file except in compliance with the License. |
| 6 | + * You may obtain a copy of the License at |
| 7 | + * |
| 8 | + * https://www.apache.org/licenses/LICENSE-2.0 |
| 9 | + * |
| 10 | + * Unless required by applicable law or agreed to in writing, software |
| 11 | + * distributed under the License is distributed on an "AS IS" BASIS, |
| 12 | + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| 13 | + * See the License for the specific language governing permissions and |
| 14 | + * limitations under the License. |
| 15 | + */ |
| 16 | +package com.google.android.material.carousel; |
| 17 | + |
| 18 | +import static java.lang.Math.abs; |
| 19 | +import static java.lang.Math.max; |
| 20 | +import static java.lang.Math.min; |
| 21 | + |
| 22 | +import androidx.annotation.NonNull; |
| 23 | +import androidx.core.math.MathUtils; |
| 24 | + |
| 25 | +/** |
| 26 | + * A class that holds data about a combination of large, medium, and small items, knows how to alter |
| 27 | + * an arrangement to fit within an available space, and can assess the arrangement's |
| 28 | + * desirability according to a priority heuristic. |
| 29 | + */ |
| 30 | +final class Arrangement { |
| 31 | + |
| 32 | + // Specifies a percentage of a medium item's size by which it can be increased or decreased to |
| 33 | + // help fit an arrangement into the carousel's available space. |
| 34 | + private static final float MEDIUM_ITEM_FLEX_PERCENTAGE = .1F; |
| 35 | + |
| 36 | + final int priority; |
| 37 | + float smallSize; |
| 38 | + final int smallCount; |
| 39 | + final int mediumCount; |
| 40 | + float mediumSize; |
| 41 | + float largeSize; |
| 42 | + final int largeCount; |
| 43 | + final float cost; |
| 44 | + |
| 45 | + /** |
| 46 | + * Creates a new arrangement by taking in a number of small, medium, and large items and the |
| 47 | + * size each would like to be and then fitting the sizes to work within the {@code |
| 48 | + * availableSpace}. |
| 49 | + * |
| 50 | + * <p>Note: The values for each item size after construction will likely differ from the target |
| 51 | + * values passed to the constructor since the constructor handles altering the sizes until the |
| 52 | + * total count is able to fit within the space see {@link #fit(float, float, float, float)} for |
| 53 | + * more details. |
| 54 | + * |
| 55 | + * @param priority the order in which this arrangement should be preferred against other |
| 56 | + * arrangements that fit |
| 57 | + * @param targetSmallSize the size of a small item in this arrangement |
| 58 | + * @param minSmallSize the minimum size a small item is allowed to be |
| 59 | + * @param maxSmallSize the maximum size a small item is allowed to be |
| 60 | + * @param smallCount the number of small items in this arrangement |
| 61 | + * @param targetMediumSize the size of medium items in this arrangement |
| 62 | + * @param mediumCount the number of medium items in this arrangement |
| 63 | + * @param targetLargeSize the size of large items in this arrangement |
| 64 | + * @param largeCount the number of large items in this arrangement |
| 65 | + * @param availableSpace the space this arrangement needs to fit within |
| 66 | + */ |
| 67 | + Arrangement( |
| 68 | + int priority, |
| 69 | + float targetSmallSize, |
| 70 | + float minSmallSize, |
| 71 | + float maxSmallSize, |
| 72 | + int smallCount, |
| 73 | + float targetMediumSize, |
| 74 | + int mediumCount, |
| 75 | + float targetLargeSize, |
| 76 | + int largeCount, |
| 77 | + float availableSpace) { |
| 78 | + this.priority = priority; |
| 79 | + this.smallSize = MathUtils.clamp(targetSmallSize, minSmallSize, maxSmallSize); |
| 80 | + this.smallCount = smallCount; |
| 81 | + this.mediumSize = targetMediumSize; |
| 82 | + this.mediumCount = mediumCount; |
| 83 | + this.largeSize = targetLargeSize; |
| 84 | + this.largeCount = largeCount; |
| 85 | + |
| 86 | + fit(availableSpace, minSmallSize, maxSmallSize, targetLargeSize); |
| 87 | + this.cost = cost(targetLargeSize); |
| 88 | + } |
| 89 | + |
| 90 | + @NonNull |
| 91 | + @Override |
| 92 | + public String toString() { |
| 93 | + return "Arrangement [priority=" |
| 94 | + + priority |
| 95 | + + ", smallCount=" |
| 96 | + + smallCount |
| 97 | + + ", smallSize=" |
| 98 | + + smallSize |
| 99 | + + ", mediumCount=" |
| 100 | + + mediumCount |
| 101 | + + ", mediumSize=" |
| 102 | + + mediumSize |
| 103 | + + ", largeCount=" |
| 104 | + + largeCount |
| 105 | + + ", largeSize=" |
| 106 | + + largeSize |
| 107 | + + ", cost=" |
| 108 | + + cost |
| 109 | + + "]"; |
| 110 | + } |
| 111 | + |
| 112 | + /** Gets the total space taken by this arrangement. */ |
| 113 | + private float getSpace() { |
| 114 | + return (largeSize * largeCount) + (mediumSize * mediumCount) + (smallSize * smallCount); |
| 115 | + } |
| 116 | + |
| 117 | + /** |
| 118 | + * Alters the item sizes of this arrangement until the space occupied fits within the {@code |
| 119 | + * availableSpace}. |
| 120 | + * |
| 121 | + * <p>This method tries to adjust the size of large items as little as possible by first adjusting |
| 122 | + * small items as much as possible, then adjusting medium items as much as possible, and finally |
| 123 | + * adjusting large items if the arrangement is still unable to fit. |
| 124 | + * |
| 125 | + * @param availableSpace the size of the carousel this arrangement needs to fit |
| 126 | + * @param minSmallSize the minimum size small items can be |
| 127 | + * @param maxSmallSize the maximum size small items can be |
| 128 | + * @param targetLargeSize the target size for large items |
| 129 | + */ |
| 130 | + private void fit( |
| 131 | + float availableSpace, float minSmallSize, float maxSmallSize, float targetLargeSize) { |
| 132 | + float delta = availableSpace - getSpace(); |
| 133 | + // First, resize small items within their allowable min-max range to try to fit the |
| 134 | + // arrangement into the available space. |
| 135 | + if (smallCount > 0 && delta > 0) { |
| 136 | + // grow the small items |
| 137 | + smallSize += min(delta / smallCount, maxSmallSize - smallSize); |
| 138 | + } else if (smallCount > 0 && delta < 0) { |
| 139 | + // shrink the small items |
| 140 | + smallSize += max(delta / smallCount, minSmallSize - smallSize); |
| 141 | + } |
| 142 | + |
| 143 | + largeSize = |
| 144 | + calculateLargeSize(availableSpace, smallCount, smallSize, mediumCount, largeCount); |
| 145 | + mediumSize = (largeSize + smallSize) / 2F; |
| 146 | + |
| 147 | + // If the large size has been adjusted away from its target size to fit the arrangement, |
| 148 | + // counter this as much as possible by altering the medium item within its acceptable flex |
| 149 | + // range. |
| 150 | + if (mediumCount > 0 && largeSize != targetLargeSize) { |
| 151 | + float targetAdjustment = (targetLargeSize - largeSize) * largeCount; |
| 152 | + float availableMediumFlex = (mediumSize * MEDIUM_ITEM_FLEX_PERCENTAGE) * mediumCount; |
| 153 | + float distribute = min(abs(targetAdjustment), availableMediumFlex); |
| 154 | + if (targetAdjustment > 0F) { |
| 155 | + // Reduce the size of the medium item and give it back to the large items |
| 156 | + mediumSize -= (distribute / mediumCount); |
| 157 | + largeSize += (distribute / largeCount); |
| 158 | + } else { |
| 159 | + // Increase the size of the medium item and take from the large items |
| 160 | + mediumSize += (distribute / mediumCount); |
| 161 | + largeSize -= (distribute / largeCount); |
| 162 | + } |
| 163 | + } |
| 164 | + } |
| 165 | + |
| 166 | + /** |
| 167 | + * Calculates the large size that is able to fit within the available space given item counts, |
| 168 | + * the small size, and that the medium size is {@code (largeSize + smallSize) / 2}. |
| 169 | + * |
| 170 | + * <p>This method solves the following equation for largeSize: |
| 171 | + * |
| 172 | + * <p>{@code availableSpace = (largeSize * largeCount) + (((largeSize + smallSize) / 2) * |
| 173 | + * mediumCount) + (smallSize * smallCount)} |
| 174 | + * |
| 175 | + * @param availableSpace the total available space |
| 176 | + * @param smallCount the number of small items in the arrangement |
| 177 | + * @param smallSize the size of small items in the arrangement |
| 178 | + * @param mediumCount the number of medium items in the arrangement |
| 179 | + * @param largeCount the number of large items in the arrangement |
| 180 | + * @return the large item size which will fit for the available space and other item constraints |
| 181 | + */ |
| 182 | + private float calculateLargeSize( |
| 183 | + float availableSpace, int smallCount, float smallSize, int mediumCount, int largeCount) { |
| 184 | + // Zero out small size if there are no small items |
| 185 | + smallSize = smallCount > 0 ? smallSize : 0F; |
| 186 | + return (availableSpace - (((float) smallCount) + ((float) mediumCount) / 2F) * smallSize) |
| 187 | + / (((float) largeCount) + ((float) mediumCount) / 2F); |
| 188 | + } |
| 189 | + |
| 190 | + private boolean isValid() { |
| 191 | + if (largeCount > 0 && smallCount > 0 && mediumCount > 0) { |
| 192 | + return largeSize > mediumSize && mediumSize > smallSize; |
| 193 | + } else if (largeCount > 0 && smallCount > 0) { |
| 194 | + return largeSize > smallSize; |
| 195 | + } |
| 196 | + |
| 197 | + return true; |
| 198 | + } |
| 199 | + |
| 200 | + /** |
| 201 | + * Calculates the cost of this arrangement to determine visual desirability and adherence to |
| 202 | + * inputs. |
| 203 | + * |
| 204 | + * @param targetLargeSize the size large items would like to be |
| 205 | + * @return a float representing the cost of this arrangement where the lower the cost the better |
| 206 | + */ |
| 207 | + private float cost(float targetLargeSize) { |
| 208 | + if (!isValid()) { |
| 209 | + return Float.MAX_VALUE; |
| 210 | + } |
| 211 | + // Arrangements have a lower cost if they have a priority closer to 1 and their largeSize is |
| 212 | + // altered as little as possible. |
| 213 | + return abs(targetLargeSize - largeSize) * priority; |
| 214 | + } |
| 215 | + |
| 216 | + /** |
| 217 | + * Create an arrangement for all possible permutations for {@code smallCounts} and {@code |
| 218 | + * largeCounts}, fit each into the available space, and return the arrangement with the lowest |
| 219 | + * cost. |
| 220 | + * |
| 221 | + * <p>Keep in mind that the returned arrangements do not take into account the available space |
| 222 | + * from the carousel. They will all occupy varying degrees of more or less space. The caller needs |
| 223 | + * to handle sorting the returned list, picking the most desirable arrangement, and fitting the |
| 224 | + * arrangement to the size of the carousel. |
| 225 | + * |
| 226 | + * @param availableSpace the space the arrangement needs to fit |
| 227 | + * @param targetSmallSize the size small items would like to be |
| 228 | + * @param minSmallSize the minimum size small items are allowed to be |
| 229 | + * @param maxSmallSize the maximum size small items are allowed to be |
| 230 | + * @param smallCounts an array of small item counts for a valid arrangement ordered by priority |
| 231 | + * @param targetMediumSize the size medium items would like to be |
| 232 | + * @param mediumCounts an array of medium item counts for a valid arrangement ordered by priority |
| 233 | + * @param targetLargeSize the size large items would like to be |
| 234 | + * @param largeCounts an array of large item counts for a valid arrangement ordered by priority |
| 235 | + * @return the arrangement that is considered the most desirable and has been adjusted to fit |
| 236 | + * within the available space |
| 237 | + */ |
| 238 | + static Arrangement findLowestCostArrangement( |
| 239 | + float availableSpace, |
| 240 | + float targetSmallSize, |
| 241 | + float minSmallSize, |
| 242 | + float maxSmallSize, |
| 243 | + int[] smallCounts, |
| 244 | + float targetMediumSize, |
| 245 | + int[] mediumCounts, |
| 246 | + float targetLargeSize, |
| 247 | + int[] largeCounts) { |
| 248 | + Arrangement lowestCostArrangement = null; |
| 249 | + int priority = 1; |
| 250 | + for (int largeCount : largeCounts) { |
| 251 | + for (int mediumCount : mediumCounts) { |
| 252 | + for (int smallCount : smallCounts) { |
| 253 | + Arrangement arrangement = |
| 254 | + new Arrangement( |
| 255 | + priority, |
| 256 | + targetSmallSize, |
| 257 | + minSmallSize, |
| 258 | + maxSmallSize, |
| 259 | + smallCount, |
| 260 | + targetMediumSize, |
| 261 | + mediumCount, |
| 262 | + targetLargeSize, |
| 263 | + largeCount, |
| 264 | + availableSpace); |
| 265 | + if (lowestCostArrangement == null || arrangement.cost < lowestCostArrangement.cost) { |
| 266 | + lowestCostArrangement = arrangement; |
| 267 | + if (lowestCostArrangement.cost == 0F) { |
| 268 | + // If the new lowestCostArrangement has a cost of 0, we know it didn't have to alter |
| 269 | + // the large item size at all. We also know that arrangement permutations will be |
| 270 | + // generated in order of priority. We can exit early knowing there will not be an |
| 271 | + // arrangement with a better cost or priority. |
| 272 | + return lowestCostArrangement; |
| 273 | + } |
| 274 | + } |
| 275 | + priority++; |
| 276 | + } |
| 277 | + } |
| 278 | + } |
| 279 | + return lowestCostArrangement; |
| 280 | + } |
| 281 | +} |
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