🎨 将g2d部分函数抽离到集合geometry包中,优化结构

This commit is contained in:
kercylan98 2023-06-15 15:34:26 +08:00
parent eb1def1bf4
commit 9849562a0f
11 changed files with 329 additions and 178 deletions

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@ -1,7 +1,7 @@
package dp
import (
"github.com/kercylan98/minotaur/utils/g2d"
"github.com/kercylan98/minotaur/utils/geometry"
)
// NewDistributionPattern 构建一个分布图实例
@ -43,7 +43,7 @@ func (slf *DistributionPattern[Item]) HasLink(pos int) bool {
// - 通过该函数加载的分布图使用的矩阵是复制后的矩阵,因此无法直接通过刷新(Refresh)来更新分布关系
// - 需要通过直接刷新的方式请使用 LoadMatrixWithPos
func (slf *DistributionPattern[Item]) LoadMatrix(matrix [][]Item) {
slf.LoadMatrixWithPos(g2d.MatrixToPosMatrix(matrix))
slf.LoadMatrixWithPos(geometry.CoordinateMatrixToPosMatrix(matrix))
slf.usePos = false
}
@ -114,7 +114,7 @@ func (slf *DistributionPattern[Item]) buildRelationships(pos int, item Item) {
slf.links[pos] = links
}
for _, tp := range g2d.GetAdjacentTranslatePos(slf.matrix, slf.width, pos) {
for _, tp := range geometry.GetAdjacentTranslatePos(slf.matrix, slf.width, pos) {
target := slf.matrix[tp]
if _, exist := links[tp]; exist || !slf.sameKindVerifyHandle(item, target) {
continue

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@ -1,140 +0,0 @@
package g2d
import "github.com/kercylan98/minotaur/utils/generic"
// CoordinateToCoordinateArray 将坐标转换为x、y的坐标数组
func CoordinateToCoordinateArray(x, y int) [2]int {
return [2]int{x, y}
}
// CoordinateArrayToCoordinate 将坐标数组转换为x和y坐标
func CoordinateArrayToCoordinate(position [2]int) (x, y int) {
return position[0], position[1]
}
// CoordinateArrayClone 克隆一个坐标数组
func CoordinateArrayClone(position [2]int) [2]int {
return [2]int{position[0], position[1]}
}
// GetAdjacentCoordinates 获取一个矩阵中,特定位置相邻的最多四个方向的坐标
func GetAdjacentCoordinates[T any](matrix [][]T, x, y int) (result [][2]int) {
width, height := len(matrix), len(matrix[0])
if tx := x - 1; tx >= 0 {
result = append(result, CoordinateToCoordinateArray(tx, y))
}
if tx := x + 1; tx < width {
result = append(result, CoordinateToCoordinateArray(tx, y))
}
if ty := y - 1; ty >= 0 {
result = append(result, CoordinateToCoordinateArray(x, ty))
}
if ty := y + 1; ty < height {
result = append(result, CoordinateToCoordinateArray(x, ty))
}
return
}
// GetAdjacentTranslatePos 获取一个连续位置的矩阵中,特定位置相邻的最多四个平移方向(上下左右)的位置
func GetAdjacentTranslatePos[T any](matrix []T, width, pos int) (result []int) {
size := len(matrix)
currentRow := pos / width
if up := pos - width; up >= 0 {
result = append(result, up)
}
if down := pos + width; down < size {
result = append(result, down)
}
if left := pos - 1; left >= 0 && currentRow == (left/width) {
result = append(result, left)
}
if right := pos + 1; right < size && currentRow == (right/width) {
result = append(result, right)
}
return
}
// GetAdjacentDiagonalsPos 获取一个连续位置的矩阵中,特定位置相邻的对角线最多四个方向的位置
func GetAdjacentDiagonalsPos[T any](matrix []T, width, pos int) (result []int) {
size := len(matrix)
currentRow := pos / width
if topLeft := pos - width - 1; topLeft >= 0 && currentRow-1 == (topLeft/width) {
result = append(result, topLeft)
}
if topRight := pos - width + 1; topRight >= 0 && currentRow-1 == (topRight/width) {
result = append(result, topRight)
}
if bottomLeft := pos + width - 1; bottomLeft < size && currentRow+1 == (bottomLeft/width) {
result = append(result, bottomLeft)
}
if bottomRight := pos + width + 1; bottomRight < size && currentRow+1 == (bottomRight/width) {
result = append(result, bottomRight)
}
return
}
// GetAdjacentPos 获取一个连续位置的矩阵中,特定位置相邻的最多八个方向的位置
func GetAdjacentPos[T any](matrix []T, width, pos int) (result []int) {
return append(GetAdjacentTranslatePos(matrix, width, pos), GetAdjacentDiagonalsPos(matrix, width, pos)...)
}
// CoordinateToPos 将坐标转换为二维数组的顺序位置坐标
// - 需要确保x的取值范围必须小于width或者将会得到不正确的值
func CoordinateToPos(width, x, y int) int {
return y*width + x
}
// CoordinateArrayToPos 将坐标转换为二维数组的顺序位置
// - 需要确保x的取值范围必须小于width或者将会得到不正确的值
func CoordinateArrayToPos(width int, xy [2]int) int {
return CoordinateToPos(width, xy[0], xy[1])
}
// CoordinateArrayToPosWithMulti 将一组坐标转换为二维数组的顺序位置
// - 需要确保x的取值范围必须小于width或者将会得到不正确的值
func CoordinateArrayToPosWithMulti(width int, xys ...[2]int) []int {
var result = make([]int, len(xys), len(xys))
for i := 0; i < len(xys); i++ {
result[i] = CoordinateArrayToPos(width, xys[i])
}
return result
}
// PosToCoordinate 通过宽度将一个二维数组的顺序位置转换为xy坐标
func PosToCoordinate(width, pos int) (x, y int) {
x = pos % width
y = pos / width
return x, y
}
// PosToCoordinateX 通过宽度将一个二维数组的顺序位置转换为X坐标
func PosToCoordinateX(width, pos int) int {
return pos % width
}
// PosToCoordinateY 通过宽度将一个二维数组的顺序位置转换为Y坐标
func PosToCoordinateY(width, pos int) int {
return pos / width
}
// MatrixToPosMatrix 将二维矩阵转换为顺序的二维矩阵
func MatrixToPosMatrix[V any](matrix [][]V) (width int, posMatrix []V) {
width = len(matrix)
height := len(matrix[0])
posMatrix = make([]V, width*height)
for x := 0; x < width; x++ {
for y := 0; y < height; y++ {
posMatrix[CoordinateToPos(width, x, y)] = matrix[x][y]
}
}
return
}
// PointOnLine 接受六个参数 top、bottom、left、right 和 x、y分别表示一个矩形位置尺寸和一个点的横纵坐标判断这个点是否在一条线段上。
// - 首先计算点 (x, y) 与线段起点 (left, top) 之间的斜率即 (x - left) / (y - top)。
// - 然后计算线段起点 (left, top) 与线段终点 (right, bottom) 之间的斜率,即 (right - left) / (bottom - top)。
// - 如果这两个斜率等,那么点 (x, y) 就在这条线段上。为了避免除法可能导致的浮点数误差,我们可以将两个斜率的计算转换为乘法形式,即比较 (x - left) * (bottom - top) 是否等于 (right - left) * y - top)。
// - 如果上述等式成立,说明点 (x, y) 在线段上,函数返回 true否则返回 false。
func PointOnLine[V generic.Number](top, bottom, left, right, x, y V) bool {
return (x-left)*(bottom-top) == (right-left)*(y-top)
}

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@ -2,15 +2,16 @@ package g2d
import (
"fmt"
"github.com/kercylan98/minotaur/utils/geometry"
"testing"
)
func TestPositionIntToXY(t *testing.T) {
pos := CoordinateToPos(9, 7, 8)
pos := geometry.CoordinateToPos(9, 7, 8)
fmt.Println(pos)
fmt.Println(PosToCoordinate(9, pos))
fmt.Println(geometry.PosToCoordinate(9, pos))
fmt.Println(CoordinateToPos(65000, 61411, 158266))
fmt.Println(PosToCoordinate(65000, 10287351411))
fmt.Println(geometry.CoordinateToPos(65000, 61411, 158266))
fmt.Println(geometry.PosToCoordinate(65000, 10287351411))
}

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@ -1,6 +1,8 @@
package matrix
import "github.com/kercylan98/minotaur/utils/g2d"
import (
"github.com/kercylan98/minotaur/utils/geometry"
)
// NewMatrix 生成特定宽高的二维矩阵
// - 虽然提供了通过x、y坐标的操作函数但是建议无论如何使用pos进行处理
@ -41,7 +43,7 @@ func (slf *Matrix[T]) GetMatrix() [][]T {
for x := 0; x < slf.w; x++ {
ys := make([]T, slf.h)
for y := 0; y < slf.h; y++ {
ys[y] = slf.m[g2d.CoordinateToPos(slf.w, x, y)]
ys[y] = slf.m[geometry.CoordinateToPos(slf.w, x, y)]
}
result[x] = ys
}
@ -55,7 +57,7 @@ func (slf *Matrix[T]) GetMatrixWithPos() []T {
// Get 获取特定坐标的内容
func (slf *Matrix[T]) Get(x, y int) (value T) {
return slf.m[g2d.CoordinateToPos(slf.w, x, y)]
return slf.m[geometry.CoordinateToPos(slf.w, x, y)]
}
// GetWithPos 获取特定坐标的内容
@ -65,7 +67,7 @@ func (slf *Matrix[T]) GetWithPos(pos int) (value T) {
// Set 设置特定坐标的内容
func (slf *Matrix[T]) Set(x, y int, data T) {
slf.m[g2d.CoordinateToPos(slf.w, x, y)] = data
slf.m[geometry.CoordinateToPos(slf.w, x, y)] = data
}
// SetWithPos 设置特定坐标的内容
@ -76,7 +78,7 @@ func (slf *Matrix[T]) SetWithPos(pos int, data T) {
// Swap 交换两个位置的内容
func (slf *Matrix[T]) Swap(x1, y1, x2, y2 int) {
a, b := slf.Get(x1, y1), slf.Get(x2, y2)
slf.m[g2d.CoordinateToPos(slf.w, x1, y1)], slf.m[g2d.CoordinateToPos(slf.w, x2, y2)] = b, a
slf.m[geometry.CoordinateToPos(slf.w, x1, y1)], slf.m[geometry.CoordinateToPos(slf.w, x2, y2)] = b, a
}
// SwapWithPos 交换两个位置的内容
@ -87,8 +89,8 @@ func (slf *Matrix[T]) SwapWithPos(pos1, pos2 int) {
// TrySwap 尝试交换两个位置的内容,交换后不满足表达式时进行撤销
func (slf *Matrix[T]) TrySwap(x1, y1, x2, y2 int, expressionHandle func(matrix *Matrix[T]) bool) {
pos1 := g2d.CoordinateToPos(slf.w, x1, y1)
pos2 := g2d.CoordinateToPos(slf.w, x2, y2)
pos1 := geometry.CoordinateToPos(slf.w, x1, y1)
pos2 := geometry.CoordinateToPos(slf.w, x2, y2)
a, b := slf.Get(x1, y1), slf.Get(x2, y2)
slf.m[pos1], slf.m[pos2] = b, a
if !expressionHandle(slf) {
@ -109,7 +111,7 @@ func (slf *Matrix[T]) TrySwapWithPos(pos1, pos2 int, expressionHandle func(matri
func (slf *Matrix[T]) FillFull(generateHandle func(x, y int) T) {
for x := 0; x < slf.w; x++ {
for y := 0; y < slf.h; y++ {
slf.m[g2d.CoordinateToPos(slf.w, x, y)] = generateHandle(x, y)
slf.m[geometry.CoordinateToPos(slf.w, x, y)] = generateHandle(x, y)
}
}
}

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@ -1,7 +1,7 @@
package path
import (
"github.com/kercylan98/minotaur/utils/g2d"
"github.com/kercylan98/minotaur/utils/geometry"
)
func NewLandform(pos int, features ...*LandformFeature) *Landform {
@ -29,7 +29,7 @@ type Landform struct {
// GetCoordinate 获取这个路径地貌指向的 x 和 y 坐标
// - 建议通过 GetPos 来进行获取,这样可以避免一次转换
func (slf *Landform) GetCoordinate() (x, y int) {
return g2d.PosToCoordinate(slf.width, slf.pos)
return geometry.PosToCoordinate(slf.width, slf.pos)
}
// GetPos 获取这个路径地貌指向的 pos 位置

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@ -2,7 +2,7 @@ package path
import (
"container/heap"
"github.com/kercylan98/minotaur/utils/g2d"
"github.com/kercylan98/minotaur/utils/geometry"
)
// NewTerrain 返回一个大小为 width 和 height 的新的路径覆盖信息landformWidth 和 landformHeight 将对每
@ -49,7 +49,7 @@ type Terrain struct {
// Get 返回 x 和 y 指向的地貌信息
// - 通常更建议使用 GetWithPos 进行获取,因为这样可以减少一次转换
func (slf *Terrain) Get(x, y int) *Landform {
return slf.matrix[g2d.CoordinateToPos(slf.width, x, y)]
return slf.matrix[geometry.CoordinateToPos(slf.width, x, y)]
}
// GetWithPos 返回 pos 指向的地貌信息
@ -105,7 +105,7 @@ func (slf *Terrain) GetPath(startPos, endPos int, diagonals, wallsBlockDiagonals
break
}
for _, adjacent := range g2d.GetAdjacentTranslatePos(slf.matrix, slf.width, node.landform.pos) {
for _, adjacent := range geometry.GetAdjacentTranslatePos(slf.matrix, slf.width, node.landform.pos) {
landform := slf.GetWithPos(adjacent)
n := &Node{landform: landform, parent: node, cost: landform.GetTotalCost() + node.cost}
if _, exist := checkedLandforms[adjacent]; n.landform.Walkable() && !exist {

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@ -2,6 +2,7 @@ package g2d
import (
"github.com/kercylan98/minotaur/utils/g2d/shape"
"github.com/kercylan98/minotaur/utils/geometry"
"sort"
)
@ -149,7 +150,7 @@ func SearchNotRepeatCross(xys ...[2]int) (result [][][2]int) {
for _, xy := range xys {
var points [][2]int
var find = map[int]bool{}
x, y := CoordinateArrayToCoordinate(xy)
x, y := geometry.CoordinateArrayToCoordinate(xy)
x = x + (0 - left)
y = y + (0 - top)
// 搜索四个方向
@ -204,7 +205,7 @@ func SearchNotRepeatCross(xys ...[2]int) (result [][][2]int) {
for _, points := range result {
var match = true
for _, point := range points {
x, y := CoordinateArrayToCoordinate(point)
x, y := geometry.CoordinateArrayToCoordinate(point)
x = x + (0 - left)
y = y + (0 - top)
if record[x][y] {
@ -235,7 +236,7 @@ func SearchContainCross(xys ...[2]int) bool {
for _, xy := range xys {
var points [][2]int
var find = map[int]bool{}
x, y := CoordinateArrayToCoordinate(xy)
x, y := geometry.CoordinateArrayToCoordinate(xy)
x = x + (0 - left)
y = y + (0 - top)
// 搜索四个方向
@ -303,7 +304,7 @@ func SearchNotRepeatStraightLine(minLength int, xys ...[2]int) (result [][][2]in
for _, xy := range xys {
var points [][2]int
var find = map[int]bool{}
x, y := CoordinateArrayToCoordinate(xy)
x, y := geometry.CoordinateArrayToCoordinate(xy)
x = x + (0 - left)
y = y + (0 - top)
// 搜索四个方向
@ -362,7 +363,7 @@ func SearchNotRepeatStraightLine(minLength int, xys ...[2]int) (result [][][2]in
for _, points := range result {
var match = true
for _, point := range points {
x, y := CoordinateArrayToCoordinate(point)
x, y := geometry.CoordinateArrayToCoordinate(point)
x = x + (0 - left)
y = y + (0 - top)
if record[x][y] {
@ -396,7 +397,7 @@ func SearchContainStraightLine(minLength int, xys ...[2]int) bool {
for _, xy := range xys {
var points [][2]int
var find = map[int]bool{}
x, y := CoordinateArrayToCoordinate(xy)
x, y := geometry.CoordinateArrayToCoordinate(xy)
x = x + (0 - left)
y = y + (0 - top)
// 搜索四个方向
@ -467,7 +468,7 @@ func SearchNotRepeatT(minLength int, xys ...[2]int) (result [][][2]int) {
for _, xy := range xys {
var points [][2]int
var find = map[int]bool{}
x, y := CoordinateArrayToCoordinate(xy)
x, y := geometry.CoordinateArrayToCoordinate(xy)
x = x + (0 - left)
y = y + (0 - top)
// 搜索四个方向
@ -513,7 +514,7 @@ func SearchNotRepeatT(minLength int, xys ...[2]int) (result [][][2]int) {
for _, points := range result {
var match = true
for _, point := range points {
x, y := CoordinateArrayToCoordinate(point)
x, y := geometry.CoordinateArrayToCoordinate(point)
x = x + (0 - left)
y = y + (0 - top)
if record[x][y] {
@ -547,7 +548,7 @@ func SearchContainT(minLength int, xys ...[2]int) bool {
for _, xy := range xys {
var points [][2]int
var find = map[int]bool{}
x, y := CoordinateArrayToCoordinate(xy)
x, y := geometry.CoordinateArrayToCoordinate(xy)
x = x + (0 - left)
y = y + (0 - top)
// 搜索四个方向
@ -605,7 +606,7 @@ func SearchNotRepeatRightAngle(minLength int, xys ...[2]int) (result [][][2]int)
for _, xy := range xys {
var points [][2]int
var find = map[int]bool{}
x, y := CoordinateArrayToCoordinate(xy)
x, y := geometry.CoordinateArrayToCoordinate(xy)
x = x + (0 - left)
y = y + (0 - top)
// 搜索四个方向
@ -665,7 +666,7 @@ func SearchNotRepeatRightAngle(minLength int, xys ...[2]int) (result [][][2]int)
for _, points := range result {
var match = true
for _, point := range points {
x, y := CoordinateArrayToCoordinate(point)
x, y := geometry.CoordinateArrayToCoordinate(point)
x = x + (0 - left)
y = y + (0 - top)
if record[x][y] {
@ -699,7 +700,7 @@ func SearchContainRightAngle(minLength int, xys ...[2]int) bool {
for _, xy := range xys {
var points [][2]int
var find = map[int]bool{}
x, y := CoordinateArrayToCoordinate(xy)
x, y := geometry.CoordinateArrayToCoordinate(xy)
x = x + (0 - left)
y = y + (0 - top)
// 搜索四个方向
@ -783,7 +784,7 @@ func SearchNotRepeatFullRectangle(minWidth, minHeight int, xys ...[2]int) (resul
points := GetRectangleFullPoints(s[0]+1, s[1]+1)
find := 0
for _, point := range points {
px, py := CoordinateArrayToCoordinate(point)
px, py := geometry.CoordinateArrayToCoordinate(point)
ox, oy := px+x, py+y
if record[ox][oy] || !rectangleShape[ox][oy] {
find = 0
@ -793,7 +794,7 @@ func SearchNotRepeatFullRectangle(minWidth, minHeight int, xys ...[2]int) (resul
}
if find == len(points) {
for _, point := range points {
px, py := CoordinateArrayToCoordinate(point)
px, py := geometry.CoordinateArrayToCoordinate(point)
record[px+x][py+y] = true
}
result = append(result, [2][2]int{
@ -834,7 +835,7 @@ func SearchContainFullRectangle(minWidth, minHeight int, xys ...[2]int) bool {
points := GetRectangleFullPoints(s[0]+1, s[1]+1)
find := 0
for _, point := range points {
px, py := CoordinateArrayToCoordinate(point)
px, py := geometry.CoordinateArrayToCoordinate(point)
ox, oy := px+x, py+y
if record[ox][oy] || !rectangleShape[ox][oy] {
find = 0
@ -844,7 +845,7 @@ func SearchContainFullRectangle(minWidth, minHeight int, xys ...[2]int) bool {
}
if find == len(points) {
for _, point := range points {
px, py := CoordinateArrayToCoordinate(point)
px, py := geometry.CoordinateArrayToCoordinate(point)
record[px+x][py+y] = true
}
return true
@ -931,7 +932,7 @@ func GenerateShape(xys ...[2]int) [][]bool {
m[x] = make([]bool, h)
}
for _, xy := range xys {
x, y := CoordinateArrayToCoordinate(xy)
x, y := geometry.CoordinateArrayToCoordinate(xy)
m[x-(r-right)][y-(b-bottom)] = true
}
return m
@ -953,7 +954,7 @@ func CoverageAreaBoundless(l, r, t, b int) (left, right, top, bottom int) {
func GetShapeCoverageArea(xys ...[2]int) (left, right, top, bottom int) {
left, top = -1, -1
for _, xy := range xys {
x, y := CoordinateArrayToCoordinate(xy)
x, y := geometry.CoordinateArrayToCoordinate(xy)
if x < left || left == -1 {
left = x
}

23
utils/geometry/line.go Normal file
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@ -0,0 +1,23 @@
package geometry
import (
"github.com/kercylan98/minotaur/utils/generic"
)
// PointOnLineWithCoordinate 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
func PointOnLineWithCoordinate[V generic.Number](x1, y1, x2, y2, x, y V) bool {
return (x-x1)*(y2-y1) == (x2-x1)*(y-y1)
}
//
//func PointOnLineWithPos[V generic.Number](width, pos1, pos2, pos V) bool {
// x1, y1 := PosToCoordinate(width, pos1)
// x2, y2 := PosToCoordinate(width, pos2)
// return (x-x1)*(y2-y1) == (x2-x1)*(y-y1)
//}
//
//// PointOnSegment 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
//// - 与 PointOnLine 不同的是, PointOnSegment 中会判断线段及点的位置是否正确
//func PointOnSegment[V generic.Number](x1, y1, x2, y2, x, y V) bool {
// return x >= x1 && x <= x2 && y >= y1 && y <= y2 && PointOnLine(x1, y1, x2, y2, x, y)
//}

108
utils/geometry/position.go Normal file
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@ -0,0 +1,108 @@
package geometry
import (
"github.com/kercylan98/minotaur/utils/generic"
"math"
)
// Point 表示了一个由 x、y 坐标组成的点
type Point[V generic.Number] [2]V
// NewPoint 创建一个由 x、y 坐标组成的点
func NewPoint[V generic.Number](x, y V) Point[V] {
return Point[V]{x, y}
}
// GetX 返回该点的 x 坐标
func (slf Point[V]) GetX() V {
return slf[0]
}
// GetY 返回该点的 y 坐标
func (slf Point[V]) GetY() V {
return slf[1]
}
// GetXY 返回该点的 x、y 坐标
func (slf Point[V]) GetXY() (x, y V) {
return slf[0], slf[1]
}
// GetPos 返回该点位于特定宽度的二维数组的顺序位置
func (slf Point[V]) GetPos(width V) V {
return CoordinateArrayToPos(width, slf)
}
// Copy 复制一个点位置
func (slf Point[V]) Copy() Point[V] {
return CoordinateArrayCopy(slf)
}
// CoordinateToCoordinateArray 将坐标转换为x、y的坐标数组
func CoordinateToCoordinateArray[V generic.Number](x, y V) Point[V] {
return [2]V{x, y}
}
// CoordinateToPos 将坐标转换为二维数组的顺序位置坐标
// - 需要确保x的取值范围必须小于width或者将会得到不正确的值
func CoordinateToPos[V generic.Number](width, x, y V) V {
return y*width + x
}
// CoordinateArrayToCoordinate 将坐标数组转换为x和y坐标
func CoordinateArrayToCoordinate[V generic.Number](position Point[V]) (x, y V) {
return position[0], position[1]
}
// CoordinateArrayToPos 将坐标转换为二维数组的顺序位置
// - 需要确保x的取值范围必须小于width或者将会得到不正确的值
func CoordinateArrayToPos[V generic.Number](width V, xy Point[V]) V {
return CoordinateToPos(width, xy[0], xy[1])
}
// PosToCoordinate 通过宽度将一个二维数组的顺序位置转换为xy坐标
func PosToCoordinate[V generic.Number](width, pos V) (x, y V) {
x = V(math.Mod(float64(pos), float64(width)))
y = pos / width
return x, y
}
// PosToCoordinateArray 通过宽度将一个二维数组的顺序位置转换为x、y的坐标数组
func PosToCoordinateArray[V generic.Number](width, pos V) Point[V] {
return [2]V{V(math.Mod(float64(pos), float64(width))), pos / width}
}
// PosToCoordinateX 通过宽度将一个二维数组的顺序位置转换为X坐标
func PosToCoordinateX[V generic.Number](width, pos V) V {
return V(math.Mod(float64(pos), float64(width)))
}
// PosToCoordinateY 通过宽度将一个二维数组的顺序位置转换为Y坐标
func PosToCoordinateY[V generic.Number](width, pos V) V {
return pos / width
}
// CoordinateArrayCopy 复制一个坐标数组
func CoordinateArrayCopy[V generic.Number](position Point[V]) Point[V] {
return NewPoint(position[0], position[1])
}
// CoordinateArrayToPosWithMulti 将一组坐标转换为二维数组的顺序位置
// - 需要确保x的取值范围必须小于width或者将会得到不正确的值
func CoordinateArrayToPosWithMulti[V generic.Number](width V, xys ...Point[V]) []V {
var result = make([]V, len(xys), len(xys))
for i := 0; i < len(xys); i++ {
result[i] = CoordinateArrayToPos(width, xys[i])
}
return result
}
// PosToCoordinateArrayWithMulti 将一组二维数组的顺序位置转换为一组数组坐标
func PosToCoordinateArrayWithMulti[V generic.Number](width V, positions ...V) []Point[V] {
var result = make([]Point[V], len(positions))
for i := 0; i < len(positions); i++ {
result[i] = PosToCoordinateArray(width, positions[i])
}
return result
}

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@ -0,0 +1,11 @@
package geometry
import (
"fmt"
"testing"
)
func TestNewPoint(t *testing.T) {
p := [2]int{1, 1}
fmt.Println(CoordinateArrayToPos(9, p))
}

145
utils/geometry/rectangle.go Normal file
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@ -0,0 +1,145 @@
package geometry
import "github.com/kercylan98/minotaur/utils/generic"
// GetAdjacentTranslatePos 获取一个连续位置的矩阵中,特定位置相邻的最多四个平移方向(上下左右)的位置
func GetAdjacentTranslatePos[T any, P generic.Number](matrix []T, width, pos P) (result []P) {
size := P(len(matrix))
currentRow := pos / width
if up := pos - width; up >= 0 {
result = append(result, up)
}
if down := pos + width; down < size {
result = append(result, down)
}
if left := pos - 1; left >= 0 && currentRow == (left/width) {
result = append(result, left)
}
if right := pos + 1; right < size && currentRow == (right/width) {
result = append(result, right)
}
return
}
// GetAdjacentTranslateCoordinateXY 获取一个基于 x、y 的二维矩阵中,特定位置相邻的最多四个平移方向(上下左右)的位置
func GetAdjacentTranslateCoordinateXY[T any, P generic.Number](matrix [][]T, x, y P) (result []Point[P]) {
width := P(len(matrix))
height := P(len(matrix[0]))
if up := y - 1; up >= 0 {
result = append(result, NewPoint(x, up))
}
if down := y + 1; down < height {
result = append(result, NewPoint(x, down))
}
if left := x - 1; left >= 0 {
result = append(result, NewPoint(left, y))
}
if right := x + 1; right < width {
result = append(result, NewPoint(right, y))
}
return
}
// GetAdjacentTranslateCoordinateYX 获取一个基于 y、x 的二维矩阵中,特定位置相邻的最多四个平移方向(上下左右)的位置
func GetAdjacentTranslateCoordinateYX[T any, P generic.Number](matrix [][]T, x, y P) (result []Point[P]) {
width := P(len(matrix[0]))
height := P(len(matrix))
if up := y - 1; up >= 0 {
result = append(result, NewPoint(x, up))
}
if down := y + 1; down < height {
result = append(result, NewPoint(x, down))
}
if left := x - 1; left >= 0 {
result = append(result, NewPoint(left, y))
}
if right := x + 1; right < width {
result = append(result, NewPoint(right, y))
}
return
}
// GetAdjacentDiagonalsPos 获取一个连续位置的矩阵中,特定位置相邻的对角线最多四个方向的位置
func GetAdjacentDiagonalsPos[T any, P generic.Number](matrix []T, width, pos P) (result []P) {
size := P(len(matrix))
currentRow := pos / width
if topLeft := pos - width - 1; topLeft >= 0 && currentRow-1 == (topLeft/width) {
result = append(result, topLeft)
}
if topRight := pos - width + 1; topRight >= 0 && currentRow-1 == (topRight/width) {
result = append(result, topRight)
}
if bottomLeft := pos + width - 1; bottomLeft < size && currentRow+1 == (bottomLeft/width) {
result = append(result, bottomLeft)
}
if bottomRight := pos + width + 1; bottomRight < size && currentRow+1 == (bottomRight/width) {
result = append(result, bottomRight)
}
return
}
// GetAdjacentDiagonalsCoordinateXY 获取一个基于 x、y 的二维矩阵中,特定位置相邻的对角线最多四个方向的位置
func GetAdjacentDiagonalsCoordinateXY[T any, P generic.Number](matrix [][]T, x, y P) (result []Point[P]) {
width := P(len(matrix[0]))
height := P(len(matrix))
if nx, ny := x-1, y-1; nx >= 0 && ny >= 0 {
result = append(result, NewPoint(nx, ny))
}
if nx, ny := x+1, y-1; nx < width && ny >= 0 {
result = append(result, NewPoint(nx, ny))
}
if nx, ny := x-1, y+1; nx >= 0 && ny < height {
result = append(result, NewPoint(nx, ny))
}
if nx, ny := x+1, y+1; nx < width && ny < height {
result = append(result, NewPoint(nx, ny))
}
return
}
// GetAdjacentDiagonalsCoordinateYX 获取一个基于 tx 的二维矩阵中,特定位置相邻的对角线最多四个方向的位置
func GetAdjacentDiagonalsCoordinateYX[T any, P generic.Number](matrix [][]T, x, y P) (result []Point[P]) {
width := P(len(matrix))
height := P(len(matrix[0]))
if nx, ny := x-1, y-1; nx >= 0 && ny >= 0 {
result = append(result, NewPoint(nx, ny))
}
if nx, ny := x+1, y-1; nx < width && ny >= 0 {
result = append(result, NewPoint(nx, ny))
}
if nx, ny := x-1, y+1; nx >= 0 && ny < height {
result = append(result, NewPoint(nx, ny))
}
if nx, ny := x+1, y+1; nx < width && ny < height {
result = append(result, NewPoint(nx, ny))
}
return
}
// GetAdjacentPos 获取一个连续位置的矩阵中,特定位置相邻的最多八个方向的位置
func GetAdjacentPos[T any, P generic.Number](matrix []T, width, pos P) (result []P) {
return append(GetAdjacentTranslatePos(matrix, width, pos), GetAdjacentDiagonalsPos(matrix, width, pos)...)
}
// GetAdjacentCoordinateXY 获取一个基于 x、y 的二维矩阵中,特定位置相邻的最多八个方向的位置
func GetAdjacentCoordinateXY[T any, P generic.Number](matrix [][]T, x, y P) (result []Point[P]) {
return append(GetAdjacentTranslateCoordinateXY(matrix, x, y), GetAdjacentDiagonalsCoordinateXY(matrix, x, y)...)
}
// GetAdjacentCoordinateYX 获取一个基于 yx 的二维矩阵中,特定位置相邻的最多八个方向的位置
func GetAdjacentCoordinateYX[T any, P generic.Number](matrix [][]T, x, y P) (result []Point[P]) {
return append(GetAdjacentTranslateCoordinateYX(matrix, x, y), GetAdjacentDiagonalsCoordinateYX(matrix, x, y)...)
}
// CoordinateMatrixToPosMatrix 将二维矩阵转换为顺序的二维矩阵
func CoordinateMatrixToPosMatrix[V any](matrix [][]V) (width int, posMatrix []V) {
width = len(matrix)
height := len(matrix[0])
posMatrix = make([]V, width*height)
for x := 0; x < width; x++ {
for y := 0; y < height; y++ {
posMatrix[CoordinateToPos(width, x, y)] = matrix[x][y]
}
}
return
}