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DOF/sqr/Core/BaseTool/Math.nut

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初版
2024-12-11 15:08:57 +08:00
/*
文件名:MathClass.nut
路径:System/BaseTool/MathClass.nut
创建日期:2024-05-10 16:02
文件用途:数学库
*/
class Math {
function getDirectionToTargetX(objX, x) {
if (objX > x)
return 0;
else
return 1;
}
/*
* @函数作用: 取随机值 左闭右闭
* @参数 name
* @返回值
*/
function Rand(Min, Max) {
local In = rand();
local Ret = (Min + (Max - Min + 1) * (In / (RAND_MAX + 1).tofloat())).tointeger();
return Ret;
}
function getCollisionByObjBox(obj, box) {
local x = obj.X;
local y = obj.Y;
local z = obj.Z;
local ArrBuf = [];
if (obj.Direction == 1) {
local pleft = [x + box[0], y + box[1], z + box[2]];
local pright = [x + box[0] + box[3], y + box[1] + box[4], z + box[2] + box[5]];
ArrBuf.extend(pleft);
ArrBuf.extend(pright);
} else {
local pleft = [x - box[0], y + box[1], z + box[2]];
local pright = [x - box[0] - box[3], y + box[1] + box[4], z + box[2] + box[5]];
ArrBuf.extend(pleft);
ArrBuf.extend(pright);
}
return ArrBuf;
}
function GetDistancePos(startX, direction, offsetX) {
if (direction == 0)
return startX - offsetX;
return startX + offsetX;
}
//通过坐标获得两点旋转角度
function getRorateAngleByCurrentPos(x1, y1, z1, x2, y2, z2) {
return 0;
}
//贝塞尔曲线构造的抛物线运动，支持开始z轴(obj,curT,lastZ,moveT)
function sq_BParabola(currentT, maxT, initZPos, jumpHeight, lastZPos) {
local z = getBeizeri(currentT, maxT, initZPos, initZPos + jumpHeight, initZPos + jumpHeight, lastZPos);
return z.tointeger();
}
//获得抛物线(不支持开始z轴)
function sq_Parabola(x, b, c) {
local a = (-b.tofloat() * 4) / (c.tofloat() * c.tofloat());
return a.tofloat() * (x.tofloat() - c.tofloat() / 2) * (x.tofloat() - c.tofloat() / 2) + b.tofloat();
}
//获得两点之间平面的距离.
function Get2D_Distance(x1, y1, x2, y2) {
local offsetX = x1 - x2;
local offsetY = (y1 - y2) * 0.29;
return sqrt(offsetX * offsetX + offsetY * offsetY);
}
//判断给定的角度是否在startA和endA角度之间(startA与endA形成的锐角内)
function CheckAngleIsInArea(judge, startA, endA) {
if (startA< 0)
startA = startA + 360.0;
if (endA< 0)
endA = endA + 360.0;
if (startA > 360.0)
startA = startA - 360.0;
if (endA > 360.0)
endA = endA - 360.0;
if (startA > 0 && startA< 90 && endA > 270 && endA< 360) {
if (judge > 270 && judge< 360) {
if (endA< judge && judge< startA + 360)
return true;
} else if (judge< 90) {
if (endA< judge + 360 && judge + 360< startA + 360)
return true;
}
} else {
if (endA > judge && judge > startA)
return true;
}
return false;
}
//弧度制转为角度制
function toDegree(x) {
return x * 57.29577;
}
//角度转为弧度
function toRadian(x) {
return x * 0.01745;
}
//立方体与立方体之间碰撞 暂未测试
function CubeAndCubeCollection(c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ) {
if (pointIsInCubeArea(c1StartX, c1StartY, c1StartZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1EndX, c1StartY, c1StartZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1StartX, c1EndY, c1StartZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1EndX, c1EndY, c1StartZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1StartX, c1StartY, c1EndZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1EndX, c1StartY, c1EndZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1StartX, c1EndY, c1EndZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1EndX, c1EndY, c1EndZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c2StartX, c2StartY, c2StartZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2EndX, c2StartY, c2StartZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2StartX, c2EndY, c2StartZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2EndX, c2EndY, c2StartZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2StartX, c2StartY, c2EndZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2EndX, c2StartY, c2EndZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2StartX, c2EndY, c2EndZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2EndX, c2EndY, c2EndZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea((c1StartX + c1EndX) / 2, c1StartY, c1StartZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea((c1StartX + c1EndX) / 2, c1EndY, c1StartZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea((c1StartX + c1EndX) / 2, c1StartY, c1EndZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea((c1StartX + c1EndX) / 2, c1EndY, c1EndZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1StartX, (c1StartY + c1EndY) / 2, c1StartZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1StartX, (c1StartY + c1EndY) / 2, c1EndZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1EndX, (c1StartY + c1EndY) / 2, c1StartZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1EndX, (c1StartY + c1EndY) / 2, c1EndZ, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1StartX, c1StartY, (c1StartZ + c1EndZ) / 2, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1StartX, c1EndY, (c1StartZ + c1EndZ) / 2, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1EndX, c1StartY, (c1StartZ + c1EndZ) / 2, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea(c1EndX, c1EndY, (c1StartZ + c1EndZ) / 2, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea((c2StartX + c2EndX) / 2, c2StartY, c2StartZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea((c2StartX + c2EndX) / 2, c2EndY, c2StartZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea((c2StartX + c2EndX) / 2, c2StartY, c2EndZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea((c2StartX + c2EndX) / 2, c2EndY, c2EndZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2StartX, (c2StartY + c2EndY) / 2, c2StartZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2StartX, (c2StartY + c2EndY) / 2, c2EndZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2EndX, (c2StartY + c2EndY) / 2, c2StartZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2EndX, (c2StartY + c2EndY) / 2, c2EndZ, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2StartX, c2StartY, (c2StartZ + c2EndZ) / 2, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2StartX, c2EndY, (c2StartZ + c2EndZ) / 2, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2EndX, c2StartY, (c2StartZ + c2EndZ) / 2, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea(c2EndX, c2EndY, (c2StartZ + c2EndZ) / 2, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
if (pointIsInCubeArea((c1StartX + c1EndX) / 2, (c1StartY + c1EndY) / 2, (c1StartZ + c1EndZ) / 2, c2StartX, c2StartY, c2StartZ, c2EndX, c2EndY, c2EndZ))
return true;
if (pointIsInCubeArea((c2StartX + c2EndX) / 2, (c2StartY + c2EndY) / 2, (c2StartZ + c2EndZ) / 2, c1StartX, c1StartY, c1StartZ, c1EndX, c1EndY, c1EndZ))
return true;
return false;
}
//判断该点是否在给定参数的立方体内
function pointIsInCubeArea(px, py, pz, startX, startY, startZ, endX, endY, endZ) {
local cubeCenterX = (startX + endX) / 2;
local cubeXLen = abs(startX - endX) / 2;
local cubeCenterY = (startY + endY) / 2;
local cubeYLen = abs(startY - endY) / 2;
local cubeCenterZ = (startZ + endZ) / 2;
local cubeZLen = abs(startZ - endZ) / 2;
if (abs(px - cubeCenterX) <= cubeXLen && abs(py - cubeCenterY) <= cubeYLen && abs(pz - cubeCenterZ) <= cubeZLen)
return true;
return false;
}
//判断(px,py)是否在这个四边形内，如果在就返回true，否则返回false,
//一定要注意，1，2，3，4的坐标必须能首尾组成四边形，不能跳坐标！！！！否则判断会直接失效！！！
function pointIsIn4PointArea(px, py, x1, y1, x2, y2, x3, y3, x4, y4) {
local area = get4PointArea(x1, y1, x2, y2, x3, y3, x4, y4);
local pointArea1 = get3PointArea(x1, y1, x2, y2, px, py);
local pointArea2 = get3PointArea(x2, y2, x3, y3, px, py);
local pointArea3 = get3PointArea(x3, y3, x4, y4, px, py);
local pointArea4 = get3PointArea(x4, y4, x1, y1, px, py);
if (abs(area - pointArea1 - pointArea2 - pointArea3 - pointArea4)< 10.0)
return true;
return false;
}
//获得给定4个点形成的四边形面积
function get4PointArea(x1, y1, x2, y2, x3, y3, x4, y4) {
local area1 = get3PointArea(x1, y1, x2, y2, x3, y3)
local area2 = get3PointArea(x2, y2, x3, y3, x4, y4)
return area1 + area2;
}
//获得给定3个点形成的三角形面积
function get3PointArea(x1, y1, x2, y2, x3, y3) {
return abs(x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2)) / 2;
/*
local l1 = sqrt(pow((x1- x2), 2) + pow((y1- y2), 2));
local l2 = sqrt(pow((x1- x3), 2) + pow((y1- y3), 2));
local l3 = sqrt(pow((x2- x3), 2) + pow((y2- y3), 2));
return sqrt((l1 + l2 + l3) * (l1 + l2- l3) * (l1- l2 + l3) * (l2 + l3- l1)) / 4;
*/
}
//获得该数的符号
function getSign(var) {
if (var< 0)
return 1;
else if (var > 0)
return -1;
return 0;
}
//简便性能高的开平方
function sqrt(sum) {
local i = (sum / 2).tofloat();
local isb = 0;
for (isb = 0; isb< 10; isb++) {
i = (i - ((i * i - sum) / (2 * i))).tofloat();
}
return i;
}
//四舍五入
function Round(var) {
local v =
var -
var.tointeger();
if (v< 0.5)
return var.tointeger();
return var.tointeger() + 1;
}
//currentRate 越接近maxRate ,返回值由sv越接近ev
function getUniformVelocity(sv, ev, currentRate, maxRate) {
local rate = currentRate.tofloat() / maxRate.tofloat();
local varyValue = ev - sv;
return sv + varyValue * rate;
}
function sq_GetAccel(sv, ev, currentRate, maxRate, increaseFeature) {
local rate = currentRate.tofloat() / maxRate.tofloat();
local varyValue = ev - sv;
local increaseRate = 1.0;
if (increaseFeature) {
increaseRate = pow(50, rate) / 50; //慢->快
} else {
increaseRate = pow(rate, 0.05);
}
return sv + varyValue * increaseRate;
}
function getMax(a, b) {
if (a< b)
return b;
return a;
}
function getMin(a, b) {
if (a > b)
return b;
return a;
}
//获得贝塞尔曲线(2阶)
function getBeizeri(var1, var2, p0, p1, p2, p3) {
local t = var1.tofloat() / var2.tofloat();
local t1 = 1.0 - t;
local v1 = t1 * t1 * t1;
local v2 = t1 * t1;
local v3 = t1;
local v4 = t * t * t;
local ret = p0 * v1;
ret = ret + 3.0 * p1 * t * v2;
ret = ret + 3.0 * p2 * t * t * v3;
ret = ret + p3 * v4;
return ret;
}
//获得贝塞尔曲线角度
function getBeizeriAngle(var1, var2, p0, p1, p2, p3) {
local t = var1.tofloat() / var2.tofloat();
local t1 = 1.0 - t;
local v1 = t1 * t1;
local v2 = t1;
local v3 = t1;
local v4 = t * t;
local ret = 2.0 * p0 * v1;
ret = ret + 6.0 * p1 * t * v2;
ret = ret + 6.0 * p2 * t * v3;
ret = ret + 2.0 * p3 * v4;
return ret;
}
function IsIntersectRect(x1, y1, width1, height1, x2, y2, width2, height2) {
// 计算矩形1的边界
local right1 = x1 + width1;
local bottom1 = y1 + height1;
// 计算矩形2的边界
local right2 = x2 + width2;
local bottom2 = y2 + height2;
// 检查是否有重叠
return !(right1< x2 || bottom1< y2 || x1 > right2 || y1 > bottom2);
}
}
//初始化随机数
srand(time());
Math.Rand(0, 1);