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14 <h1>QVM: Quaternions, Vectors, Matrices</h1>
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16 <!-- Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc. -->
17 <!-- Distributed under the Boost Software License, Version 1.0. (See accompanying -->
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21 <p>Boost QVM defines various function templates that provide static mapping between (possibly user-defined) quaternion, vector and matrix types. The example below multiplies column 1 (Boost QVM indexes are always zero-based) of the matrix <i>m</i> by a scalar:</p>
22 <pre>void multiply_column1( float33 &amp; m, float scalar )
23 {
24 <span class="RenoLink"><a href="col.html">col</a></span>&lt;1&gt;(m) <span class="RenoLink"><a href="operator_mul_eq_vec_scalar_.html">*=</a></span> scalar;
25 }</pre>
26 <p>The expression <i><span class="RenoLink"><a href="col.html">col</a></span>&lt;1&gt;(m)</i> is a lvalue of an unspecified 3D vector type that refers to column 1 of <i>m</i>. Note however that this does not create any temporary objects; instead <i><span class="RenoLink"><a href="operator_mul_eq_vec_scalar_.html">operator*=</a></span></i> above works directly with a reference to <i>m</i>.</p>
27 <p>Here is another example, multiplying a transposed view of a matrix by a vector of some user-defined type <i>float3</i>:</p>
28 <pre>float3 v = {0,0,7};
29 float3 vrot = <span class="RenoLink"><a href="transposed.html">transposed</a></span>(<span class="RenoLink"><a href="rotx_mat_scalar_.html">rotx_mat</a></span>&lt;3&gt;(3.14159f)) <span class="RenoLink"><a href="operator_times_mat_vec_.html">*</a></span> v;</pre>
30 <p>In general, the various view functions return references of unspecified, non-copyable types that refer to the original object. They can be assigned from or converted to any compatible vector or matrix type.</p>
31 <p>For more details, see <span class="RenoLink"><a href="view_proxy.html">View Proxies</a></span>.</p>
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33 <p><b>Tutorial navigation:</b> <span class="RenoLink"><a href="quaternions_vectors_matrices.html">Quaternions, Vectors, Matrices</a></span> | <span class="RenoLink"><a href="c_arrays.html">C Arrays</a></span> | <span class="RenoLink">Views</span> | <span class="RenoLink"><a href="Swizzling.html">Swizzling</a></span> | <span class="RenoLink"><a href="Interoperability.html">Interoperability</a></span><span class="RenoBR">&nbsp;</span><br/><span class="RenoBR">&nbsp;</span><br/>See also: <span class="RenoLink"><a href="index.html">Boost QVM</a></span></p>
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