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<h2 title="Class Quaternion" class="title">Class Quaternion</h2>
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<li>java.lang.Object</li>
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<pre>public final class <span class="typeNameLabel">Quaternion</span>
extends <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/GeneratedMessageV3.html?is-external=true" title="class or interface in com.google.protobuf">GeneratedMessageV3</a>
implements <a href="../../../com/google/type/QuaternionOrBuilder.html" title="interface in com.google.type">QuaternionOrBuilder</a></pre>
<div class="block"><pre>
A quaternion is defined as the quotient of two directed lines in a
three-dimensional space or equivalently as the quotient of two Euclidean
vectors (https://en.wikipedia.org/wiki/Quaternion).
Quaternions are often used in calculations involving three-dimensional
rotations (https://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation),
as they provide greater mathematical robustness by avoiding the gimbal lock
problems that can be encountered when using Euler angles
(https://en.wikipedia.org/wiki/Gimbal_lock).
Quaternions are generally represented in this form:
w + xi + yj + zk
where x, y, z, and w are real numbers, and i, j, and k are three imaginary
numbers.
Our naming choice (x, y, z, w) comes from the desire to avoid confusion for
those interested in the geometric properties of the quaternion in the 3D
Cartesian space. Other texts often use alternative names or subscripts, such
as (a, b, c, d), (1, i, j, k), or (0, 1, 2, 3), which are perhaps better
suited for mathematical interpretations.
To avoid any confusion, as well as to maintain compatibility with a large
number of software libraries, the quaternions represented using the protocol
buffer below *must* follow the Hamilton convention, which defines ij = k
(i.e. a right-handed algebra), and therefore:
i^2 = j^2 = k^2 = ijk = −1
ij = −ji = k
jk = −kj = i
ki = −ik = j
Please DO NOT use this to represent quaternions that follow the JPL
convention, or any of the other quaternion flavors out there.
Definitions:
- Quaternion norm (or magnitude): sqrt(x^2 + y^2 + z^2 + w^2).
- Unit (or normalized) quaternion: a quaternion whose norm is 1.
- Pure quaternion: a quaternion whose scalar component (w) is 0.
- Rotation quaternion: a unit quaternion used to represent rotation.
- Orientation quaternion: a unit quaternion used to represent orientation.
A quaternion can be normalized by dividing it by its norm. The resulting
quaternion maintains the same direction, but has a norm of 1, i.e. it moves
on the unit sphere. This is generally necessary for rotation and orientation
quaternions, to avoid rounding errors:
https://en.wikipedia.org/wiki/Rotation_formalisms_in_three_dimensions
Note that (x, y, z, w) and (-x, -y, -z, -w) represent the same rotation, but
normalization would be even more useful, e.g. for comparison purposes, if it
would produce a unique representation. It is thus recommended that w be kept
positive, which can be achieved by changing all the signs when w is negative.
Next available tag: 5
</pre>
Protobuf type <code>google.type.Quaternion</code></div>
<dl>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../serialized-form.html#com.google.type.Quaternion">Serialized Form</a></dd>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.Builder.html" title="class in com.google.type">Quaternion.Builder</a></span></code>
<div class="block">
A quaternion is defined as the quotient of two directed lines in a
three-dimensional space or equivalently as the quotient of two Euclidean
vectors (https://en.wikipedia.org/wiki/Quaternion).</div>
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<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#W_FIELD_NUMBER">W_FIELD_NUMBER</a></span></code>&nbsp;</td>
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<tr class="rowColor">
<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#X_FIELD_NUMBER">X_FIELD_NUMBER</a></span></code>&nbsp;</td>
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<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#Y_FIELD_NUMBER">Y_FIELD_NUMBER</a></span></code>&nbsp;</td>
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<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#Z_FIELD_NUMBER">Z_FIELD_NUMBER</a></span></code>&nbsp;</td>
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<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#equals-java.lang.Object-">equals</a></span>(java.lang.Object&nbsp;obj)</code>&nbsp;</td>
</tr>
<tr id="i1" class="rowColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#getDefaultInstance--">getDefaultInstance</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i2" class="altColor">
<td class="colFirst"><code><a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#getDefaultInstanceForType--">getDefaultInstanceForType</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i3" class="rowColor">
<td class="colFirst"><code>static <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/Descriptors.Descriptor.html?is-external=true" title="class or interface in com.google.protobuf">Descriptors.Descriptor</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#getDescriptor--">getDescriptor</a></span>()</code>&nbsp;</td>
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<tr id="i4" class="altColor">
<td class="colFirst"><code><a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/Parser.html?is-external=true" title="class or interface in com.google.protobuf">Parser</a>&lt;<a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a>&gt;</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#getParserForType--">getParserForType</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i5" class="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#getSerializedSize--">getSerializedSize</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i6" class="altColor">
<td class="colFirst"><code><a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/UnknownFieldSet.html?is-external=true" title="class or interface in com.google.protobuf">UnknownFieldSet</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#getUnknownFields--">getUnknownFields</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i7" class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#getW--">getW</a></span>()</code>
<div class="block">
The scalar component.</div>
</td>
</tr>
<tr id="i8" class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#getX--">getX</a></span>()</code>
<div class="block">
The x component.</div>
</td>
</tr>
<tr id="i9" class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#getY--">getY</a></span>()</code>
<div class="block">
The y component.</div>
</td>
</tr>
<tr id="i10" class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#getZ--">getZ</a></span>()</code>
<div class="block">
The z component.</div>
</td>
</tr>
<tr id="i11" class="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#hashCode--">hashCode</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i12" class="altColor">
<td class="colFirst"><code>protected <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/GeneratedMessageV3.FieldAccessorTable.html?is-external=true" title="class or interface in com.google.protobuf">GeneratedMessageV3.FieldAccessorTable</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#internalGetFieldAccessorTable--">internalGetFieldAccessorTable</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i13" class="rowColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#isInitialized--">isInitialized</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i14" class="altColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.Builder.html" title="class in com.google.type">Quaternion.Builder</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#newBuilder--">newBuilder</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i15" class="rowColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.Builder.html" title="class in com.google.type">Quaternion.Builder</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#newBuilder-com.google.type.Quaternion-">newBuilder</a></span>(<a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a>&nbsp;prototype)</code>&nbsp;</td>
</tr>
<tr id="i16" class="altColor">
<td class="colFirst"><code><a href="../../../com/google/type/Quaternion.Builder.html" title="class in com.google.type">Quaternion.Builder</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#newBuilderForType--">newBuilderForType</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i17" class="rowColor">
<td class="colFirst"><code>protected <a href="../../../com/google/type/Quaternion.Builder.html" title="class in com.google.type">Quaternion.Builder</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#newBuilderForType-com.google.protobuf.GeneratedMessageV3.BuilderParent-">newBuilderForType</a></span>(<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/GeneratedMessageV3.BuilderParent.html?is-external=true" title="class or interface in com.google.protobuf">GeneratedMessageV3.BuilderParent</a>&nbsp;parent)</code>&nbsp;</td>
</tr>
<tr id="i18" class="altColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseDelimitedFrom-java.io.InputStream-">parseDelimitedFrom</a></span>(java.io.InputStream&nbsp;input)</code>&nbsp;</td>
</tr>
<tr id="i19" class="rowColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseDelimitedFrom-java.io.InputStream-com.google.protobuf.ExtensionRegistryLite-">parseDelimitedFrom</a></span>(java.io.InputStream&nbsp;input,
<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/ExtensionRegistryLite.html?is-external=true" title="class or interface in com.google.protobuf">ExtensionRegistryLite</a>&nbsp;extensionRegistry)</code>&nbsp;</td>
</tr>
<tr id="i20" class="altColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseFrom-byte:A-">parseFrom</a></span>(byte[]&nbsp;data)</code>&nbsp;</td>
</tr>
<tr id="i21" class="rowColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseFrom-byte:A-com.google.protobuf.ExtensionRegistryLite-">parseFrom</a></span>(byte[]&nbsp;data,
<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/ExtensionRegistryLite.html?is-external=true" title="class or interface in com.google.protobuf">ExtensionRegistryLite</a>&nbsp;extensionRegistry)</code>&nbsp;</td>
</tr>
<tr id="i22" class="altColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseFrom-java.nio.ByteBuffer-">parseFrom</a></span>(java.nio.ByteBuffer&nbsp;data)</code>&nbsp;</td>
</tr>
<tr id="i23" class="rowColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseFrom-java.nio.ByteBuffer-com.google.protobuf.ExtensionRegistryLite-">parseFrom</a></span>(java.nio.ByteBuffer&nbsp;data,
<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/ExtensionRegistryLite.html?is-external=true" title="class or interface in com.google.protobuf">ExtensionRegistryLite</a>&nbsp;extensionRegistry)</code>&nbsp;</td>
</tr>
<tr id="i24" class="altColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseFrom-com.google.protobuf.ByteString-">parseFrom</a></span>(<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/ByteString.html?is-external=true" title="class or interface in com.google.protobuf">ByteString</a>&nbsp;data)</code>&nbsp;</td>
</tr>
<tr id="i25" class="rowColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseFrom-com.google.protobuf.ByteString-com.google.protobuf.ExtensionRegistryLite-">parseFrom</a></span>(<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/ByteString.html?is-external=true" title="class or interface in com.google.protobuf">ByteString</a>&nbsp;data,
<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/ExtensionRegistryLite.html?is-external=true" title="class or interface in com.google.protobuf">ExtensionRegistryLite</a>&nbsp;extensionRegistry)</code>&nbsp;</td>
</tr>
<tr id="i26" class="altColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseFrom-com.google.protobuf.CodedInputStream-">parseFrom</a></span>(<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/CodedInputStream.html?is-external=true" title="class or interface in com.google.protobuf">CodedInputStream</a>&nbsp;input)</code>&nbsp;</td>
</tr>
<tr id="i27" class="rowColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseFrom-com.google.protobuf.CodedInputStream-com.google.protobuf.ExtensionRegistryLite-">parseFrom</a></span>(<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/CodedInputStream.html?is-external=true" title="class or interface in com.google.protobuf">CodedInputStream</a>&nbsp;input,
<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/ExtensionRegistryLite.html?is-external=true" title="class or interface in com.google.protobuf">ExtensionRegistryLite</a>&nbsp;extensionRegistry)</code>&nbsp;</td>
</tr>
<tr id="i28" class="altColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseFrom-java.io.InputStream-">parseFrom</a></span>(java.io.InputStream&nbsp;input)</code>&nbsp;</td>
</tr>
<tr id="i29" class="rowColor">
<td class="colFirst"><code>static <a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parseFrom-java.io.InputStream-com.google.protobuf.ExtensionRegistryLite-">parseFrom</a></span>(java.io.InputStream&nbsp;input,
<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/ExtensionRegistryLite.html?is-external=true" title="class or interface in com.google.protobuf">ExtensionRegistryLite</a>&nbsp;extensionRegistry)</code>&nbsp;</td>
</tr>
<tr id="i30" class="altColor">
<td class="colFirst"><code>static <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/Parser.html?is-external=true" title="class or interface in com.google.protobuf">Parser</a>&lt;<a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a>&gt;</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#parser--">parser</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i31" class="rowColor">
<td class="colFirst"><code><a href="../../../com/google/type/Quaternion.Builder.html" title="class in com.google.type">Quaternion.Builder</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#toBuilder--">toBuilder</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i32" class="altColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/google/type/Quaternion.html#writeTo-com.google.protobuf.CodedOutputStream-">writeTo</a></span>(<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/CodedOutputStream.html?is-external=true" title="class or interface in com.google.protobuf">CodedOutputStream</a>&nbsp;output)</code>&nbsp;</td>
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<code><a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/GeneratedMessageV3.html?is-external=true#canUseUnsafe--" title="class or interface in com.google.protobuf">canUseUnsafe</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/GeneratedMessageV3.html?is-external=true#computeStringSize-int-java.lang.Object-" title="class or interface in com.google.protobuf">computeStringSize</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/GeneratedMessageV3.html?is-external=true#computeStringSizeNoTag-java.lang.Object-" title="class or interface in com.google.protobuf">computeStringSizeNoTag</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/GeneratedMessageV3.html?is-external=true#emptyBooleanList--" title="class or interface in com.google.protobuf">emptyBooleanList</a>, <a 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<h3>Methods inherited from class&nbsp;com.google.protobuf.<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessage.html?is-external=true" title="class or interface in com.google.protobuf">AbstractMessage</a></h3>
<code><a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessage.html?is-external=true#findInitializationErrors--" title="class or interface in com.google.protobuf">findInitializationErrors</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessage.html?is-external=true#getInitializationErrorString--" title="class or interface in com.google.protobuf">getInitializationErrorString</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessage.html?is-external=true#hashBoolean-boolean-" title="class or interface in com.google.protobuf">hashBoolean</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessage.html?is-external=true#hashEnum-com.google.protobuf.Internal.EnumLite-" title="class or interface in com.google.protobuf">hashEnum</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessage.html?is-external=true#hashEnumList-java.util.List-" title="class or interface in com.google.protobuf">hashEnumList</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessage.html?is-external=true#hashFields-int-java.util.Map-" title="class or interface in com.google.protobuf">hashFields</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessage.html?is-external=true#hashLong-long-" title="class or interface in com.google.protobuf">hashLong</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessage.html?is-external=true#toString--" title="class or interface in com.google.protobuf">toString</a></code></li>
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<h3>Methods inherited from class&nbsp;com.google.protobuf.<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessageLite.html?is-external=true" title="class or interface in com.google.protobuf">AbstractMessageLite</a></h3>
<code><a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessageLite.html?is-external=true#addAll-java.lang.Iterable-java.util.Collection-" title="class or interface in com.google.protobuf">addAll</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessageLite.html?is-external=true#addAll-java.lang.Iterable-java.util.List-" title="class or interface in com.google.protobuf">addAll</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessageLite.html?is-external=true#checkByteStringIsUtf8-com.google.protobuf.ByteString-" title="class or interface in com.google.protobuf">checkByteStringIsUtf8</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessageLite.html?is-external=true#toByteArray--" title="class or interface in com.google.protobuf">toByteArray</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessageLite.html?is-external=true#toByteString--" title="class or interface in com.google.protobuf">toByteString</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessageLite.html?is-external=true#writeDelimitedTo-java.io.OutputStream-" title="class or interface in com.google.protobuf">writeDelimitedTo</a>, <a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/AbstractMessageLite.html?is-external=true#writeTo-java.io.OutputStream-" title="class or interface in com.google.protobuf">writeTo</a></code></li>
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<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/InvalidProtocolBufferException.html?is-external=true" title="class or interface in com.google.protobuf">InvalidProtocolBufferException</a></code></dd>
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<pre>public static&nbsp;<a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a>&nbsp;parseFrom(java.io.InputStream&nbsp;input)
throws java.io.IOException</pre>
<dl>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code>java.io.IOException</code></dd>
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<pre>public static&nbsp;<a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a>&nbsp;parseFrom(java.io.InputStream&nbsp;input,
<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/ExtensionRegistryLite.html?is-external=true" title="class or interface in com.google.protobuf">ExtensionRegistryLite</a>&nbsp;extensionRegistry)
throws java.io.IOException</pre>
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<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code>java.io.IOException</code></dd>
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<pre>public static&nbsp;<a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a>&nbsp;parseDelimitedFrom(java.io.InputStream&nbsp;input)
throws java.io.IOException</pre>
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<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code>java.io.IOException</code></dd>
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<pre>public static&nbsp;<a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a>&nbsp;parseDelimitedFrom(java.io.InputStream&nbsp;input,
<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/ExtensionRegistryLite.html?is-external=true" title="class or interface in com.google.protobuf">ExtensionRegistryLite</a>&nbsp;extensionRegistry)
throws java.io.IOException</pre>
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<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code>java.io.IOException</code></dd>
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<pre>public static&nbsp;<a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a>&nbsp;parseFrom(<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/CodedInputStream.html?is-external=true" title="class or interface in com.google.protobuf">CodedInputStream</a>&nbsp;input)
throws java.io.IOException</pre>
<dl>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code>java.io.IOException</code></dd>
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<pre>public static&nbsp;<a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a>&nbsp;parseFrom(<a href="https://developers.google.com/protocol-buffers/docs/reference/java/com/google/protobuf/CodedInputStream.html?is-external=true" title="class or interface in com.google.protobuf">CodedInputStream</a>&nbsp;input,
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<dt><span class="throwsLabel">Throws:</span></dt>
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<pre>public&nbsp;<a href="../../../com/google/type/Quaternion.Builder.html" title="class in com.google.type">Quaternion.Builder</a>&nbsp;newBuilderForType()</pre>
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<pre>public&nbsp;<a href="../../../com/google/type/Quaternion.html" title="class in com.google.type">Quaternion</a>&nbsp;getDefaultInstanceForType()</pre>
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