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- <h1>PVRTQuaternion.h</h1><a href="PVRTQuaternion_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre>00001 <span class="comment">/******************************************************************************</span>
- 00002 <span class="comment"></span>
- 00003 <span class="comment"> @File PVRTQuaternion.h</span>
- 00004 <span class="comment"></span>
- 00005 <span class="comment"> @Title PVRTQuaternion</span>
- 00006 <span class="comment"></span>
- 00007 <span class="comment"> @Version </span>
- 00008 <span class="comment"></span>
- 00009 <span class="comment"> @Copyright Copyright (C) Imagination Technologies Limited.</span>
- 00010 <span class="comment"></span>
- 00011 <span class="comment"> @Platform ANSI compatible</span>
- 00012 <span class="comment"></span>
- 00013 <span class="comment"> @Description Quaternion functions for floating and fixed point math.</span>
- 00014 <span class="comment"></span>
- 00015 <span class="comment">******************************************************************************/</span>
- 00016 <span class="preprocessor">#ifndef _PVRTQUATERNION_H_</span>
- 00017 <span class="preprocessor"></span><span class="preprocessor">#define _PVRTQUATERNION_H_</span>
- 00018 <span class="preprocessor"></span>
- 00019 <span class="preprocessor">#include "<a class="code" href="PVRTGlobal_8h.html">PVRTGlobal.h</a>"</span>
- 00020 <span class="preprocessor">#include "<a class="code" href="PVRTMatrix_8h.html">PVRTMatrix.h</a>"</span>
- 00021
- 00022 <span class="comment">/****************************************************************************</span>
- 00023 <span class="comment">** Typedefs</span>
- 00024 <span class="comment">****************************************************************************/</span>
- 00025 <span class="comment">/*!***************************************************************************</span>
- 00026 <span class="comment"> Floating point Quaternion</span>
- 00027 <span class="comment">*****************************************************************************/</span>
- <a name="l00028"></a><a class="code" href="structPVRTQUATERNIONf.html">00028</a> <span class="keyword">typedef</span> <span class="keyword">struct</span>
- 00029 <span class="keyword"></span>{
- <a name="l00030"></a><a class="code" href="structPVRTQUATERNIONf.html#o0">00030</a> <span class="keywordtype">float</span> x;
- <a name="l00031"></a><a class="code" href="structPVRTQUATERNIONf.html#o1">00031</a> <span class="keywordtype">float</span> y;
- <a name="l00032"></a><a class="code" href="structPVRTQUATERNIONf.html#o2">00032</a> <span class="keywordtype">float</span> z;
- <a name="l00033"></a><a class="code" href="structPVRTQUATERNIONf.html#o3">00033</a> <span class="keywordtype">float</span> w;
- 00034 } <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a>;
- 00035 <span class="comment">/*!***************************************************************************</span>
- 00036 <span class="comment"> Fixed point Quaternion</span>
- 00037 <span class="comment">*****************************************************************************/</span>
- <a name="l00038"></a><a class="code" href="structPVRTQUATERNIONx.html">00038</a> <span class="keyword">typedef</span> <span class="keyword">struct</span>
- 00039 <span class="keyword"></span>{
- <a name="l00040"></a><a class="code" href="structPVRTQUATERNIONx.html#o0">00040</a> <span class="keywordtype">int</span> x;
- <a name="l00041"></a><a class="code" href="structPVRTQUATERNIONx.html#o1">00041</a> <span class="keywordtype">int</span> y;
- <a name="l00042"></a><a class="code" href="structPVRTQUATERNIONx.html#o2">00042</a> <span class="keywordtype">int</span> z;
- <a name="l00043"></a><a class="code" href="structPVRTQUATERNIONx.html#o3">00043</a> <span class="keywordtype">int</span> w;
- 00044 } <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a>;
- 00045
- 00046 <span class="comment">/****************************************************************************</span>
- 00047 <span class="comment">** Float or fixed</span>
- 00048 <span class="comment">****************************************************************************/</span>
- 00049 <span class="preprocessor">#ifdef PVRT_FIXED_POINT_ENABLE</span>
- 00050 <span class="preprocessor"></span><span class="keyword">typedef</span> <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNION</a>;
- 00051 <span class="preprocessor">#define PVRTMatrixQuaternionIdentity PVRTMatrixQuaternionIdentityX</span>
- 00052 <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixQuaternionRotationAxis PVRTMatrixQuaternionRotationAxisX</span>
- 00053 <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixQuaternionToAxisAngle PVRTMatrixQuaternionToAxisAngleX</span>
- 00054 <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixQuaternionSlerp PVRTMatrixQuaternionSlerpX</span>
- 00055 <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixQuaternionNormalize PVRTMatrixQuaternionNormalizeX</span>
- 00056 <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixRotationQuaternion PVRTMatrixRotationQuaternionX</span>
- 00057 <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixQuaternionMultiply PVRTMatrixQuaternionMultiplyX</span>
- 00058 <span class="preprocessor"></span><span class="preprocessor">#else</span>
- <a name="l00059"></a><a class="code" href="PVRTQuaternion_8h.html#a7">00059</a> <span class="preprocessor"></span><span class="keyword">typedef</span> <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> <a class="code" href="PVRTQuaternion_8h.html#a7">PVRTQUATERNION</a>;
- <a name="l00060"></a><a class="code" href="PVRTQuaternion_8h.html#a0">00060</a> <span class="preprocessor">#define PVRTMatrixQuaternionIdentity PVRTMatrixQuaternionIdentityF</span>
- <a name="l00061"></a><a class="code" href="PVRTQuaternion_8h.html#a1">00061</a> <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixQuaternionRotationAxis PVRTMatrixQuaternionRotationAxisF</span>
- <a name="l00062"></a><a class="code" href="PVRTQuaternion_8h.html#a2">00062</a> <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixQuaternionToAxisAngle PVRTMatrixQuaternionToAxisAngleF</span>
- <a name="l00063"></a><a class="code" href="PVRTQuaternion_8h.html#a3">00063</a> <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixQuaternionSlerp PVRTMatrixQuaternionSlerpF</span>
- <a name="l00064"></a><a class="code" href="PVRTQuaternion_8h.html#a4">00064</a> <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixQuaternionNormalize PVRTMatrixQuaternionNormalizeF</span>
- <a name="l00065"></a><a class="code" href="PVRTQuaternion_8h.html#a5">00065</a> <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixRotationQuaternion PVRTMatrixRotationQuaternionF</span>
- <a name="l00066"></a><a class="code" href="PVRTQuaternion_8h.html#a6">00066</a> <span class="preprocessor"></span><span class="preprocessor">#define PVRTMatrixQuaternionMultiply PVRTMatrixQuaternionMultiplyF</span>
- 00067 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
- 00068 <span class="preprocessor"></span>
- 00069 <span class="comment">/****************************************************************************</span>
- 00070 <span class="comment">** Functions</span>
- 00071 <span class="comment">****************************************************************************/</span>
- 00072
- 00073 <span class="comment">/*!***************************************************************************</span>
- 00074 <span class="comment"> @Function PVRTMatrixQuaternionIdentityF</span>
- 00075 <span class="comment"> @Output qOut Identity quaternion</span>
- 00076 <span class="comment"> @Description Sets the quaternion to (0, 0, 0, 1), the identity quaternion.</span>
- 00077 <span class="comment">*****************************************************************************/</span>
- 00078 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a8">PVRTMatrixQuaternionIdentityF</a>(
- 00079 <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> &qOut);
- 00080
- 00081 <span class="comment">/*!***************************************************************************</span>
- 00082 <span class="comment"> @Function PVRTMatrixQuaternionIdentityX</span>
- 00083 <span class="comment"> @Output qOut Identity quaternion</span>
- 00084 <span class="comment"> @Description Sets the quaternion to (0, 0, 0, 1), the identity quaternion.</span>
- 00085 <span class="comment">*****************************************************************************/</span>
- 00086 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a9">PVRTMatrixQuaternionIdentityX</a>(
- 00087 <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> &qOut);
- 00088
- 00089 <span class="comment">/*!***************************************************************************</span>
- 00090 <span class="comment"> @Function PVRTMatrixQuaternionRotationAxisF</span>
- 00091 <span class="comment"> @Output qOut Rotation quaternion</span>
- 00092 <span class="comment"> @Input vAxis Axis to rotate around</span>
- 00093 <span class="comment"> @Input fAngle Angle to rotate</span>
- 00094 <span class="comment"> @Description Create quaternion corresponding to a rotation of fAngle</span>
- 00095 <span class="comment"> radians around submitted vector.</span>
- 00096 <span class="comment">*****************************************************************************/</span>
- 00097 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a10">PVRTMatrixQuaternionRotationAxisF</a>(
- 00098 <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> &qOut,
- 00099 <span class="keyword">const</span> <a class="code" href="structPVRTVECTOR3f.html">PVRTVECTOR3f</a> &vAxis,
- 00100 <span class="keyword">const</span> <span class="keywordtype">float</span> fAngle);
- 00101
- 00102 <span class="comment">/*!***************************************************************************</span>
- 00103 <span class="comment"> @Function PVRTMatrixQuaternionRotationAxisX</span>
- 00104 <span class="comment"> @Output qOut Rotation quaternion</span>
- 00105 <span class="comment"> @Input vAxis Axis to rotate around</span>
- 00106 <span class="comment"> @Input fAngle Angle to rotate</span>
- 00107 <span class="comment"> @Description Create quaternion corresponding to a rotation of fAngle</span>
- 00108 <span class="comment"> radians around submitted vector.</span>
- 00109 <span class="comment">*****************************************************************************/</span>
- 00110 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a11">PVRTMatrixQuaternionRotationAxisX</a>(
- 00111 <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> &qOut,
- 00112 <span class="keyword">const</span> <a class="code" href="structPVRTVECTOR3x.html">PVRTVECTOR3x</a> &vAxis,
- 00113 <span class="keyword">const</span> <span class="keywordtype">int</span> fAngle);
- 00114
- 00115
- 00116 <span class="comment">/*!***************************************************************************</span>
- 00117 <span class="comment"> @Function PVRTMatrixQuaternionToAxisAngleF</span>
- 00118 <span class="comment"> @Input qIn Quaternion to transform</span>
- 00119 <span class="comment"> @Output vAxis Axis of rotation</span>
- 00120 <span class="comment"> @Output fAngle Angle of rotation</span>
- 00121 <span class="comment"> @Description Convert a quaternion to an axis and angle. Expects a unit</span>
- 00122 <span class="comment"> quaternion.</span>
- 00123 <span class="comment">*****************************************************************************/</span>
- 00124 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a12">PVRTMatrixQuaternionToAxisAngleF</a>(
- 00125 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> &qIn,
- 00126 <a class="code" href="structPVRTVECTOR3f.html">PVRTVECTOR3f</a> &vAxis,
- 00127 <span class="keywordtype">float</span> &fAngle);
- 00128
- 00129 <span class="comment">/*!***************************************************************************</span>
- 00130 <span class="comment"> @Function PVRTMatrixQuaternionToAxisAngleX</span>
- 00131 <span class="comment"> @Input qIn Quaternion to transform</span>
- 00132 <span class="comment"> @Output vAxis Axis of rotation</span>
- 00133 <span class="comment"> @Output fAngle Angle of rotation</span>
- 00134 <span class="comment"> @Description Convert a quaternion to an axis and angle. Expects a unit</span>
- 00135 <span class="comment"> quaternion.</span>
- 00136 <span class="comment">*****************************************************************************/</span>
- 00137 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a13">PVRTMatrixQuaternionToAxisAngleX</a>(
- 00138 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> &qIn,
- 00139 <a class="code" href="structPVRTVECTOR3x.html">PVRTVECTOR3x</a> &vAxis,
- 00140 <span class="keywordtype">int</span> &fAngle);
- 00141
- 00142 <span class="comment">/*!***************************************************************************</span>
- 00143 <span class="comment"> @Function PVRTMatrixQuaternionSlerpF</span>
- 00144 <span class="comment"> @Output qOut Result of the interpolation</span>
- 00145 <span class="comment"> @Input qA First quaternion to interpolate from</span>
- 00146 <span class="comment"> @Input qB Second quaternion to interpolate from</span>
- 00147 <span class="comment"> @Input t Coefficient of interpolation</span>
- 00148 <span class="comment"> @Description Perform a Spherical Linear intERPolation between quaternion A</span>
- 00149 <span class="comment"> and quaternion B at time t. t must be between 0.0f and 1.0f</span>
- 00150 <span class="comment">*****************************************************************************/</span>
- 00151 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a14">PVRTMatrixQuaternionSlerpF</a>(
- 00152 <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> &qOut,
- 00153 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> &qA,
- 00154 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> &qB,
- 00155 <span class="keyword">const</span> <span class="keywordtype">float</span> t);
- 00156
- 00157 <span class="comment">/*!***************************************************************************</span>
- 00158 <span class="comment"> @Function PVRTMatrixQuaternionSlerpX</span>
- 00159 <span class="comment"> @Output qOut Result of the interpolation</span>
- 00160 <span class="comment"> @Input qA First quaternion to interpolate from</span>
- 00161 <span class="comment"> @Input qB Second quaternion to interpolate from</span>
- 00162 <span class="comment"> @Input t Coefficient of interpolation</span>
- 00163 <span class="comment"> @Description Perform a Spherical Linear intERPolation between quaternion A</span>
- 00164 <span class="comment"> and quaternion B at time t. t must be between 0.0f and 1.0f</span>
- 00165 <span class="comment"> Requires input quaternions to be normalized</span>
- 00166 <span class="comment">*****************************************************************************/</span>
- 00167 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a15">PVRTMatrixQuaternionSlerpX</a>(
- 00168 <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> &qOut,
- 00169 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> &qA,
- 00170 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> &qB,
- 00171 <span class="keyword">const</span> <span class="keywordtype">int</span> t);
- 00172
- 00173 <span class="comment">/*!***************************************************************************</span>
- 00174 <span class="comment"> @Function PVRTMatrixQuaternionNormalizeF</span>
- 00175 <span class="comment"> @Modified quat Vector to normalize</span>
- 00176 <span class="comment"> @Description Normalize quaternion.</span>
- 00177 <span class="comment">*****************************************************************************/</span>
- 00178 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a16">PVRTMatrixQuaternionNormalizeF</a>(<a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> &quat);
- 00179
- 00180 <span class="comment">/*!***************************************************************************</span>
- 00181 <span class="comment"> @Function PVRTMatrixQuaternionNormalizeX</span>
- 00182 <span class="comment"> @Modified quat Vector to normalize</span>
- 00183 <span class="comment"> @Description Normalize quaternion.</span>
- 00184 <span class="comment"> Original quaternion is scaled down prior to be normalized in</span>
- 00185 <span class="comment"> order to avoid overflow issues.</span>
- 00186 <span class="comment">*****************************************************************************/</span>
- 00187 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a17">PVRTMatrixQuaternionNormalizeX</a>(<a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> &quat);
- 00188
- 00189 <span class="comment">/*!***************************************************************************</span>
- 00190 <span class="comment"> @Function PVRTMatrixRotationQuaternionF</span>
- 00191 <span class="comment"> @Output mOut Resulting rotation matrix</span>
- 00192 <span class="comment"> @Input quat Quaternion to transform</span>
- 00193 <span class="comment"> @Description Create rotation matrix from submitted quaternion.</span>
- 00194 <span class="comment"> Assuming the quaternion is of the form [X Y Z W]:</span>
- 00195 <span class="comment"></span>
- 00196 <span class="comment"> | 2 2 |</span>
- 00197 <span class="comment"> | 1 - 2Y - 2Z 2XY - 2ZW 2XZ + 2YW 0 |</span>
- 00198 <span class="comment"> | |</span>
- 00199 <span class="comment"> | 2 2 |</span>
- 00200 <span class="comment"> M = | 2XY + 2ZW 1 - 2X - 2Z 2YZ - 2XW 0 |</span>
- 00201 <span class="comment"> | |</span>
- 00202 <span class="comment"> | 2 2 |</span>
- 00203 <span class="comment"> | 2XZ - 2YW 2YZ + 2XW 1 - 2X - 2Y 0 |</span>
- 00204 <span class="comment"> | |</span>
- 00205 <span class="comment"> | 0 0 0 1 |</span>
- 00206 <span class="comment">*****************************************************************************/</span>
- 00207 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a18">PVRTMatrixRotationQuaternionF</a>(
- 00208 <a class="code" href="classPVRTMATRIXf.html">PVRTMATRIXf</a> &mOut,
- 00209 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> &quat);
- 00210
- 00211 <span class="comment">/*!***************************************************************************</span>
- 00212 <span class="comment"> @Function PVRTMatrixRotationQuaternionX</span>
- 00213 <span class="comment"> @Output mOut Resulting rotation matrix</span>
- 00214 <span class="comment"> @Input quat Quaternion to transform</span>
- 00215 <span class="comment"> @Description Create rotation matrix from submitted quaternion.</span>
- 00216 <span class="comment"> Assuming the quaternion is of the form [X Y Z W]:</span>
- 00217 <span class="comment"></span>
- 00218 <span class="comment"> | 2 2 |</span>
- 00219 <span class="comment"> | 1 - 2Y - 2Z 2XY - 2ZW 2XZ + 2YW 0 |</span>
- 00220 <span class="comment"> | |</span>
- 00221 <span class="comment"> | 2 2 |</span>
- 00222 <span class="comment"> M = | 2XY + 2ZW 1 - 2X - 2Z 2YZ - 2XW 0 |</span>
- 00223 <span class="comment"> | |</span>
- 00224 <span class="comment"> | 2 2 |</span>
- 00225 <span class="comment"> | 2XZ - 2YW 2YZ + 2XW 1 - 2X - 2Y 0 |</span>
- 00226 <span class="comment"> | |</span>
- 00227 <span class="comment"> | 0 0 0 1 |</span>
- 00228 <span class="comment">*****************************************************************************/</span>
- 00229 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a19">PVRTMatrixRotationQuaternionX</a>(
- 00230 <a class="code" href="classPVRTMATRIXx.html">PVRTMATRIXx</a> &mOut,
- 00231 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> &quat);
- 00232
- 00233 <span class="comment">/*!***************************************************************************</span>
- 00234 <span class="comment"> @Function PVRTMatrixQuaternionMultiplyF</span>
- 00235 <span class="comment"> @Output qOut Resulting quaternion</span>
- 00236 <span class="comment"> @Input qA First quaternion to multiply</span>
- 00237 <span class="comment"> @Input qB Second quaternion to multiply</span>
- 00238 <span class="comment"> @Description Multiply quaternion A with quaternion B and return the</span>
- 00239 <span class="comment"> result in qOut.</span>
- 00240 <span class="comment">*****************************************************************************/</span>
- 00241 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a20">PVRTMatrixQuaternionMultiplyF</a>(
- 00242 <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> &qOut,
- 00243 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> &qA,
- 00244 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONf.html">PVRTQUATERNIONf</a> &qB);
- 00245
- 00246 <span class="comment">/*!***************************************************************************</span>
- 00247 <span class="comment"> @Function PVRTMatrixQuaternionMultiplyX</span>
- 00248 <span class="comment"> @Output qOut Resulting quaternion</span>
- 00249 <span class="comment"> @Input qA First quaternion to multiply</span>
- 00250 <span class="comment"> @Input qB Second quaternion to multiply</span>
- 00251 <span class="comment"> @Description Multiply quaternion A with quaternion B and return the</span>
- 00252 <span class="comment"> result in qOut.</span>
- 00253 <span class="comment"> Input quaternions must be normalized.</span>
- 00254 <span class="comment">*****************************************************************************/</span>
- 00255 <span class="keywordtype">void</span> <a class="code" href="PVRTQuaternion_8h.html#a21">PVRTMatrixQuaternionMultiplyX</a>(
- 00256 <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> &qOut,
- 00257 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> &qA,
- 00258 <span class="keyword">const</span> <a class="code" href="structPVRTQUATERNIONx.html">PVRTQUATERNIONx</a> &qB);
- 00259
- 00260 <span class="preprocessor">#endif</span>
- 00261 <span class="preprocessor"></span>
- 00262 <span class="comment">/*****************************************************************************</span>
- 00263 <span class="comment"> End of file (PVRTQuaternion.h)</span>
- 00264 <span class="comment">*****************************************************************************/</span>
- 00265
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