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<link type="text/css" rel="stylesheet" href="page.css" />
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</head>
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<body>
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- <h1>[name]</h1>
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+ <h1>四元数（[name]）</h1>
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<p class="desc">
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- Implementation of a [link:http://en.wikipedia.org/wiki/Quaternion quaternion].<br/>
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- Quaternions are used in three.js to represent [link:https://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation rotations].
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+ 该类实现了 [link:http://en.wikipedia.org/wiki/Quaternion quaternion] 。<br/>
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+ 四元数在three.js中用于表示 [link:https://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation rotation] （旋转）。
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</p>
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<h2>代码示例</h2>
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@@ -26,19 +26,19 @@
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</code>
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- <h2>Constructor</h2>
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+ <h2>构造函数</h2>
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<h3>[name]( [param:Float x], [param:Float y], [param:Float z], [param:Float w] )</h3>
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<p>
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- [page:Float x] - x coordinate<br />
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- [page:Float y] - y coordinate<br />
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- [page:Float z] - z coordinate<br />
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- [page:Float w] - w coordinate
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+ [page:Float x] - x 坐标<br />
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+ [page:Float y] - y 坐标<br />
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+ [page:Float z] - z 坐标<br />
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+ [page:Float w] - w 坐标
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</p>
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- <h2>Properties</h2>
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+ <h2>属性</h2>
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<h3>[property:Float x]</h3>
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@@ -49,91 +49,87 @@
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<h3>[property:Float w]</h3>
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- <h2>Methods</h2>
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+ <h2>方法</h2>
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<h3>[method:Float angleTo]( [param:Quaternion q] )</h3>
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<p>
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- Returns the angle between this quaternion and quaternion [page:Quaternion q] in radians.
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+ 以弧度返回该四元数与四元数 [page:Quaternion q] 之间的夹角。
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</p>
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<h3>[method:Quaternion clone]()</h3>
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<p>
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- Creates a new Quaternion with identical [page:.x x], [page:.y y],
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- [page:.z z] and [page:.w w] properties to this one.
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+ 创建一个与该四元数具有相同[page:.x x]、[page:.y y]、[page:.z z]和[page:.w w]
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+ 属性的四元数。
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</p>
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<h3>[method:Quaternion conjugate]()</h3>
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<p>
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- Returns the rotational conjugate of this quaternion. The conjugate of a quaternion
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- represents the same rotation in the opposite direction about the rotational axis.
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+ 返回该四元数的旋转共轭。
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+ 四元数的共轭表示的是，围绕旋转轴在相反方向上的相同旋转。
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</p>
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<h3>[method:Quaternion copy]( [param:Quaternion q] )</h3>
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<p>
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- Copies the [page:.x x], [page:.y y], [page:.z z] and [page:.w w] properties
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- of [page:Quaternion q] into this quaternion.
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+ 复制四元数 [page:Quaternion q] 的 [page:.x x]、[page:.y y]、[page:.z z] 和 [page:.w w]
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+ 属性到该四元数中。
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</p>
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<h3>[method:Boolean equals]( [param:Quaternion v] )</h3>
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<p>
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- [page:Quaternion v] - Quaternion that this quaternion will be compared to.<br /><br />
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+ [page:Quaternion v] - 用于进行比较的四元数。<br /><br />
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- Compares the [page:.x x], [page:.y y], [page:.z z] and [page:.w w] properties of
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- [page:Quaternion v] to the equivalent properties of this quaternion to determine if they
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- represent the same rotation.
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+ 将四元数 [page:Quaternion v] 的 [page:.x x]、 [page:.y y]、 [page:.z z] 和 [page:.w w] 的属性
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+ 与当前四元数的对应属性相比较，以确定它们是否表示相同的旋转。
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</p>
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<h3>[method:Float dot]( [param:Quaternion v] )</h3>
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<p>
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- Calculates the [link:https://en.wikipedia.org/wiki/Dot_product dot product] of
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- quaternions [page:Quaternion v] and this one.
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+ 计算四元数 [page:Quaternion v] 与当前四元数的[link:https://en.wikipedia.org/wiki/Dot_product dot product]（点积）。
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</p>
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<h3>[method:Quaternion fromArray]( [param:Array array], [param:Integer offset] )</h3>
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<p>
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- [page:Array array] - array of format (x, y, z, w) used to construct the quaternion.<br />
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- [page:Integer offset] - (optional) an offset into the array.<br /><br />
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+ [page:Array array] - 用于构造四元数的形如(x, y, z, w)的数组。<br />
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+ [page:Integer offset] - （可选）数组的偏移量。（译者注：使用数组中从第offset元素算起的四个元素）<br /><br />
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- Sets this quaternion's [page:.x x], [page:.y y], [page:.z z] and [page:.w w] properties
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- from an array.
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+ 从一个数组来设置四元数的 [page:.x x]、 [page:.y y]、[page:.z z] 和 [page:.w w] 的属性。
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</p>
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<h3>[method:Quaternion identity]()</h3>
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<p>
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- Sets this quaternion to the identity quaternion; that is, to the quaternion that represents "no rotation".
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+ 设置该四元数为 identity 四元数，即表示“不旋转”的四元数。
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</p>
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<h3>[method:Quaternion inverse]()</h3>
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<p>
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- Inverts this quaternion - calculates the [page:.conjugate conjugate]. The quaternion is assumed to have unit length.
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+ 翻转该四元数 —— 计算 [page:.conjugate conjugate] 。假定该四元数具有单位长度。
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</p>
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<h3>[method:Float length]()</h3>
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- <p>Computes the [link:https://en.wikipedia.org/wiki/Euclidean_distance Euclidean length]
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- (straight-line length) of this quaternion, considered as a 4 dimensional vector.</p>
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+ <p>计算四元数的 [link:https://en.wikipedia.org/wiki/Euclidean_distance Euclidean length]
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+ （欧几里得长度，直线长度），视为一个四维向量。</p>
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<h3>[method:Float lengthSq]()</h3>
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<p>
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- Computes the squared [link:https://en.wikipedia.org/wiki/Euclidean_distance Euclidean length]
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- (straight-line length) of this quaternion, considered as a 4 dimensional
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- vector. This can be useful if you are comparing the lengths of two quaternions,
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- as this is a slightly more efficient calculation than [page:.length length]().
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+ 计算四元数 [link:https://en.wikipedia.org/wiki/Euclidean_distance Euclidean length]
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+ （欧几里得长度，直线长度）的平方，视为一个四维向量。
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+ 如果要比较两个四元数的长度，这可能会十分有用，
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+ 因为这比 [page:.length length]() 的效率稍高一些。
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</p>
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<h3>[method:Quaternion normalize]()</h3>
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<p>
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- [link:https://en.wikipedia.org/wiki/Normalized_vector Normalizes] this quaternion - that is,
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- calculated the quaternion that performs the same rotation as this one, but has [page:.length length]
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- equal to *1*.
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+ [link:https://en.wikipedia.org/wiki/Normalized_vector Normalizes]（归一化）四元数 ——
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+ 即计算与该四元数具有相同旋转、但长度为*1*的四元数。
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</p>
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<h3>[method:Quaternion multiply]( [param:Quaternion q] )</h3>
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- <p>Multiplies this quaternion by [page:Quaternion q].</p>
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+ <p>将该四元数与[page:Quaternion q]相乘。</p>
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<h3>[method:Quaternion multiplyQuaternions]( [param:Quaternion a], [param:Quaternion b] )</h3>
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<p>
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- Sets this quaternion to [page:Quaternion a] x [page:Quaternion b].<br />
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- Adapted from the method outlined [link:http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/code/index.htm here].
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+ 将该四元数设为 [page:Quaternion a] x [page:Quaternion b] 。<br />
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+ 改编自 [link:http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/code/index.htm here] 所概述的方法。
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</p>
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<h3>[method:Quaternion premultiply]( [param:Quaternion q] )</h3>
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</p>
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<h3>[method:Quaternion set]( [param:Float x], [param:Float y], [param:Float z], [param:Float w] )</h3>
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- <p>Sets [page:.x x], [page:.y y], [page:.z z], [page:.w w] properties of this quaternion.</p>
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+ <p>设置该四元数的 [page:.x x]、[page:.y y]、[page:.z z]和[page:.w w]属性。</p>
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<h3>[method:Quaternion setFromAxisAngle]( [param:Vector3 axis], [param:Float angle] )</h3>
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<p>
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- Sets this quaternion from rotation specified by [page:Vector3 axis] and [page:Float angle].<br />
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- Adapted from the method [link:http://www.euclideanspace.com/maths/geometry/rotations/conversions/angleToQuaternion/index.htm here].<br />
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- *Axis* is assumed to be normalized, *angle* is in radians.
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+ 从由 [page:Vector3 axis]（轴） 和 [page:Float angle]（角度）所给定的旋转来设置该四元数。<br />
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+ 改编自 [link:http://www.euclideanspace.com/maths/geometry/rotations/conversions/angleToQuaternion/index.htm here] 所述的方法。<br />
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+ 假定*Axis*已被归一化，*angle*以弧度来表示。
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</p>
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<h3>[method:Quaternion setFromEuler]( [param:Euler euler] )</h3>
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- <p>Sets this quaternion from the rotation specified by [page:Euler] angle.</p>
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+ <p>从由 [page:Euler] 角所给定的旋转来设置该四元数。</p>
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<h3>[method:Quaternion setFromRotationMatrix]( [param:Matrix4 m] )</h3>
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<p>
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- Sets this quaternion from rotation component of [page:Matrix4 m].<br />
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- Adapted from the method [link:http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm here].
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+ 从[page:Matrix4 m]的旋转分量中来设置该四元数。<br />
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+ 改编自 [link:http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm here] 所概述的方法。
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</p>
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<h3>[method:Quaternion setFromUnitVectors]( [param:Vector3 vFrom], [param:Vector3 vTo] )</h3>
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@@ -193,30 +189,30 @@
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<h3>[method:Array toArray]( [param:Array array], [param:Integer offset] )</h3>
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<p>
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- [page:Array array] - An optional array to store the quaternion. If not specified, a new array will be created.<br/>
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- [page:Integer offset] - (optional) if specified, the result will be copied
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- into this [page:Array].<br /><br />
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+ [page:Array array] - （可选）存储该四元数的数组。若未指定该参数，则将创建一个新数组。<br/>
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+ [page:Integer offset] - （可选）若指定了该值，结果将会被拷贝到该
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+ [page:Array]。<br /><br />
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- Returns the numerical elements of this quaternion in an array of format [x, y, z, w].
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+ 在形如[x, y, z, w]的数组中，返回四元数中的数字元素。
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</p>
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<h3>[method:this fromBufferAttribute]( [param:BufferAttribute attribute], [param:Integer index] )</h3>
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<p>
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- [page:BufferAttribute attribute] - the source attribute.<br />
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- [page:Integer index] - index in the attribute.<br /><br />
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+ [page:BufferAttribute attribute] - 源 attribute。<br />
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+ [page:Integer index] - attribute 中的索引。<br /><br />
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- Sets [page:.x x], [page:.y y], [page:.z z], [page:.w w] properties of this quaternion from the [page:BufferAttribute attribute].
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+ 从 [page:BufferAttribute attribute] 中设置该四元数的[page:.x x]、 [page:.y y]、 [page:.z z]、 [page:.w w]属性。
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</p>
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- <h2>Static Methods</h2>
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+ <h2>静态方法</h2>
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<p>
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- Static methods (as opposed to instance methods) are designed to be called directly from the class,
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- rather than from a specific instance. So to use the static version of, call it like so:
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+ 静态方法（相对于实例方法）被设计用来直接从类进行调用，而非从特定的实例上进行调用。
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+ 要使用静态版本，需要按照如下方式来调用：
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<code>
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THREE.Quaternion.slerp( qStart, qEnd, qTarget, t );
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</code>
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- By contrast, to call the 'normal' or instanced slerp method, you would do the following:
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+ 作为对比，要调用“正常”或实例的 slerp 方法，则进行如下操作：
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<code>
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//instantiate a quaternion with default values
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var q = new THREE.Quaternion();
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@@ -264,7 +260,7 @@ q.slerp( qb, t )
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<!-- Note: Do not add non-static methods to the bottom of this page. Put them above the <h2>Static Methods</h2> -->
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- <h2>Source</h2>
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+ <h2>源码</h2>
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<p>
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[link:https://github.com/mrdoob/three.js/blob/master/src/[path].js src/[path].js]
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gogoend