Three.js Source Note (17) Math/math.js

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The following code is a comment for the math/math.js file in the three.js source file.

More updates in: https://github.com/omni360/three.js.sourcecode/blob/master/Three.js

file:src/math/math.js/** * @author alteredq/http://alteredqualia.com/* @author mrdoob/http://mrdoob.com/*//*///Ma The constructor of the th object. Contains some common mathematical methods. The//////generateuuid () method is used to generate a 36-bit UUID Universal Unique identifier (universally unique Identifier).///clamp () method is used to limit the value of x between A and B, and if X is less than a, returns a. If x is greater than B, return B, otherwise the return X.///sign () method returns the symbol for parameter x, if greater than 0 returns 1, if less than 0 returns 1, otherwise the 0.///ispoweroftwo () method is returned to the power of 2 if the value is a power of 2, which returns TRUE. The Smoothstep () method, like Lerp, interpolates between the minimum and maximum values and gradually fades in at the limit. Three smoothing interpolation the///degtorad () method returns a Radian value that is equal to the angle represented by the parameter degrees. The///clampbottom () method is used to limit the value of x between A and B, and if X is less than a, returns a, otherwise returns X*/THREE. Math = {/******************************************** The following are the function functions provided by the Math object. ****************************************// The *///generateuuid method is used to generate a 36-bit UUID Universal unique identification code (universally unique Identifier). *////<summary>generateuuid</ Summary>///<returns type= "Array" > Return uuid, a 36-bit array Object </returns>generateuuid:function () {//http:/ /www.broofa.com/tools/math.uuid.htmvar chars = ' 0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz '. Split ("); var uuid = new Array (36 var rnd = 0, R;return function () {for (var i = 0; i <; i + +) {if (i = = 8 | | i = = | | i = = 23) { uuid[i] = '-';}  else if (i = =) {uuid[i] = ' 4 ';} else {if (rnd <= 0x02) rnd = 0x2000000 + (math.random () * 0x1000000) | 0;r = Rnd & 0xf;rnd = rnd >> 4;uuid[i] = chars[(i = = 19)? (R & 0x3) | 0X8:R];}} Return Uuid.join (");//Returns a 36-bit UUID Universal Unique identifier (universally unique Identifier).};} (),//Clamp value to range <a, b>//limit value x is between A and B. The/*///clamp method is used to limit the value of x between A and a, and if X is less than a, returns a. If x is greater than B, return B, otherwise return x*////<summary>clamp</summary>///<param name = "x" type= "number" > Value X</param >///<param name = "a" type= "number" > value A</param>///<param name = "B" type= "number" > Value B</param >///<returns type= "Number" > Returns a If X is less than a. If x is greater than B, return B, otherwise return x</returns>clamp:function (x, a, b) {return (x < a)? A: ((x > B) b:x);/////<p Aram name = "x" type= "number" > Value x</param>},//Clamp value to Range<a, INF)//Limit value X<a/*///clampbottom method is used to limit the value of x between A and B, if X is less than a, returns a, otherwise returns x*////<summary>clampbottom</ Summary>///<param name = "x" type= "number" > value x</param>///<param name = "a" type= "number" > Value a</ Param>///<returns type= "Number" > if x is less than a, return a, otherwise return x</returns>clampbottom:function (x, a) {return x < A ? a:x;//if x is less than a, return a, otherwise return x},//Linear mapping from range &LT;A1, a2> to range &LT;B1, b2>//parameter X in range<a1,a2> to ran ge<b1,b2> linear mapping//TOTO: About linear mapping not clear, there is time to say. The/*///maplinear method is used to return the parameter X in range<a1,a2> to range<b1,b2> Linear mapping *////<summary>maplinear</summary>///<param name = "x" type= "number" > Value x</param>/// <param name = "A1" type= "Number" > value a1</param>///<param name = "A2" type= "Number" > Value a2</param>/ <param name = "B1" type= "number" > value b1</param>///<param name = "B2" type= "number" > Value B2</param >///<returns type= "number" > Return linear mapping x range<a1,a2> to Range<b1,b2></returns>maplinear:function (x, a1, A2, B1, B2) {return B1 + (X-A1) * (B2-B1)/(A2-A1);//return parameter X in RANGE&L T;a1,a2> to range<b1,b2> Linear mapping},//Http://en.wikipedia.org/wiki/smoothstep/*///smoothstep method is similar to Lerp, Interpolates between the minimum and maximum values, and fades in at the limit. Three smoothing interpolation *////<summary>smoothstep</summary>///<param name = "x" type= "number" > Value x</param>/// <param name = "min" type= "number" > Minimum </param>///<param name = "Max" type= "number" > Max </param>/ <returns type= "number" > similar to Lerp, interpolates between the minimum and maximum values and fades in at the limit. </returns>smoothstep:function (x, Min, max) {if (x <= min) return 0;if (x >= max) return 1;x = (x-mi N)/(max-min); return x * x * (3-2 * x);//and Lerp similar to the interpolation between the minimum and maximum values, and gradually fade out at the limit. The},/*///smoothstep method, like Lerp, interpolates between the minimum and maximum values and gradually fades in at the limit. Five smoothing interpolation *////<summary>smoothstep</summary>///<param name = "x" type= "number" > Value x</param>/// <param name = "min" type= "number" > Minimum </param>///<param name = "Max" type= "#"> Max </param>///<returns type= "number" > and lerp similar, interpolation between the minimum and maximum values, and gradually fade out at the limit. </returns>smootherstep:function (x, Min, max) {if (x <= min) return 0;if (x >= max) Return 1;x = (X- min)/(max-min); return x * x * x * (x * (x * 6-15) + 10);//and Lerp similar to the interpolation between the minimum and maximum values, and gradually fade out at the limit.  },//random float from <0, 1> with + bits of randomness//generate 0, to 1 of the stochastic floating-point number with 16-bit size selection range//(Standard Math.random () creates Repetitive patterns when applied over larger space)//Enables the standard Math.random () method to have a greater range of values. The/*///random16 method generates a random floating-point number of 0, to 1, 16-bit size selection range *////<summary>random16</summary>///<returns type= "number" > return random floating point number </returns> Random16:function () {return (65280 * math.random () + 255 * MATH.RANDOM ())/65535;//returns a random floating-point number},//an arbitrary integer from &L T;low, high> interval//generates a random integer from the range of values defined by the parameter Low,high. The/*///randint method generates a random integer by the range of values defined by the parameter Low,high .*////<summary> Randint</summary>///<returns type= "Int" > Returns a random integer. </returns>randint:function (Low, high) {returnLow + Math.floor (Math.random () * (high-low + 1));//returns random integer},//random float from <low, high> interval//by parameter low , the value range of the high definition generates a random floating-point number/*///randint method generates a random floating-point number by the range of values defined by the parameter Low,high .*////<summary>randint</summary>///< Returns type= "float" > return random floating-point number. </returns>randfloat:function (Low, high) {return low + math.random () * (high-l ow);//Returns a random floating-point number},//random float from &LT;-RANGE/2, range/2> interval//generates a [-RANGE/2,RANGE/2] interval for the randomly floating-point number. The/*///randfloatspread method generates a [-RANGE/2,RANGE/2] interval random floating-point number. *////<summary>randfloatspread</summary>///<returns type= "float" > return random floating-point number .</returns> Randfloatspread:function (range) {return range * (0.5-math.random ());//Returns a random floating-point number},/*///sign method returns the symbol for parameter x, if greater than 0 returns 1 if less than 0 return Back-1, otherwise return 0.*////<summary>sign</summary>///<returns type= "Int" > Return symbol. </returns>sign: function (x) {return (x < 0)?-1: (x > 0)? 1:0;//returns the symbol for parameter x, if greater than 0 returns 1, if less than 0 returns-1, otherwise the 0.},/*///degtorad method is returned with the parameter The number degrees represents the angle equal to the radian value. *////<summary&Gt;degtorad</summary>///<returns type= "Number" > returns the Radian value equal to the angle represented by the parameter degrees. </returns>degtorad: function () {var degreetoradiansfactor = Math.pi/180;return function (degrees) {return degrees * degreetoradiansfactor ;//Returns the Radian value that is equal to the angle represented by the parameter degrees.};} (), the/*///radtodeg method returns an angular value that is equal to the radian represented by the parameter radians. *////<summary>radtodeg</summary>///<returns type= " Number "> returns an angular value that is equal to the radian represented by the parameter radians. </returns>radtodeg:function () {var radiantodegreesfactor = 180/math.pi; return function (radians) {return radians * radiantodegreesfactor;//returns the angle value that is equal to the radian represented by the parameter radians}; (),/*///ispoweroftwo whether the method is a power of 2, and returns True if the value is a power of 2. *////<summary>ispoweroftwo</summary>///<returns type= "Number" > returns TRUE if the value is a power of 2. </returns>ispoweroftwo:function (value) {return (value & (value-1)) = = = 0 && value!== 0;//if the value is a power of 2, which returns TRUE. }};

Commercial Territory (http://blog.csdn.net/omni360/)

This article follows "Attribution-non-commercial use-consistent" authoring public agreement

Reprint Please keep this sentence: Business Domain-this blog focuses on Agile development and mobile and IoT device research: Data visualization, Golang, HTML5, WEBGL, three. JS, Otherwise, from this blog article refused to reprint or reprint, thank you for your cooperation.

The following code is a comment for the math/math.js file in the three.js source file.

More updates in: https://github.com/omni360/three.js.sourcecode/blob/master/Three.js

Three.js Source Note (17) Math/math.js