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<title>Algorithms_in_C++: math/vector_cross_product.cpp File Reference</title>
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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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@@ -186,14 +186,14 @@ Example:</h3>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>the direction ratios of the cross product. </dd></dl>
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<p >Performs the cross product as shown in @algorithm.</p>
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<div class="fragment"><div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<double, 3></a> product;<span class="comment"></span></div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span><span class="comment"> /// Performs the cross product as shown in @algorithm.</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span><span class="comment"></span> product[0] = (A[1] * B[2]) - (A[2] * B[1]);</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> product[1] = -((A[0] * B[2]) - (A[2] * B[0]));</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> product[2] = (A[0] * B[1]) - (A[1] * B[0]);</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">return</span> product;</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 69</span> {</div>
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<div class="line"><span class="lineno"> 70</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<double, 3></a> product;<span class="comment"></span></div>
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<div class="line"><span class="lineno"> 71</span><span class="comment"> /// Performs the cross product as shown in @algorithm.</span></div>
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<div class="line"><span class="lineno"> 72</span><span class="comment"></span> product[0] = (A[1] * B[2]) - (A[2] * B[1]);</div>
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<div class="line"><span class="lineno"> 73</span> product[1] = -((A[0] * B[2]) - (A[2] * B[0]));</div>
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<div class="line"><span class="lineno"> 74</span> product[2] = (A[0] * B[1]) - (A[1] * B[0]);</div>
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<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">return</span> product;</div>
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<div class="line"><span class="lineno"> 76</span> }</div>
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<div class="ttc" id="aarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a></div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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@@ -228,10 +228,10 @@ Here is the call graph for this function:</div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>type: double description: the magnitude of the mathematical vector from the given direction ratios. </dd></dl>
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<div class="fragment"><div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> {</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordtype">double</span> magnitude = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">sqrt</a>((vec[0] * vec[0]) + (vec[1] * vec[1]) + (vec[2] * vec[2]));</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">return</span> magnitude;</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 83</span> {</div>
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<div class="line"><span class="lineno"> 84</span> <span class="keywordtype">double</span> magnitude = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">sqrt</a>((vec[0] * vec[0]) + (vec[1] * vec[1]) + (vec[2] * vec[2]));</div>
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<div class="line"><span class="lineno"> 85</span> <span class="keywordflow">return</span> magnitude;</div>
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<div class="line"><span class="lineno"> 86</span> }</div>
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<div class="ttc" id="asqrt_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a></div><div class="ttdeci">T sqrt(T... args)</div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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@@ -265,31 +265,31 @@ Here is the call graph for this function:</div>
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<p >Gets the values for the second vector.</p>
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<p >Displays the output out.</p>
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<p >Displays the magnitude of the cross product.</p>
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<div class="fragment"><div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> {</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span><span class="comment"></span> </div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span><span class="comment"> /// Tests the functions with sample input before asking for user input.</span></div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span><span class="comment"></span> <a class="code hl_function" href="../../df/d66/vector__cross__product_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<double, 3></a> vec1;</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<double, 3></a> vec2;</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span><span class="comment"></span> </div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span><span class="comment"> /// Gets the values for the first vector.</span></div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nPass the first Vector: "</span>;</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> vec1[0] >> vec1[1] >> vec1[2];</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span><span class="comment"></span> </div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span><span class="comment"> /// Gets the values for the second vector.</span></div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nPass the second Vector: "</span>;</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> vec2[0] >> vec2[1] >> vec2[2];</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span><span class="comment"></span> </div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span><span class="comment"> /// Displays the output out.</span></div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<double, 3></a> product = <a class="code hl_function" href="../../df/d66/vector__cross__product_8cpp.html#a225732399c5c076976eae5b180a9f8c9">math::vector_cross::cross</a>(vec1, vec2);</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nThe cross product is: "</span> << product[0] << <span class="stringliteral">" "</span> << product[1] << <span class="stringliteral">" "</span> << product[2] << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span><span class="comment"></span> </div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span><span class="comment"> /// Displays the magnitude of the cross product.</span></div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Magnitude: "</span> << <a class="code hl_function" href="../../df/d66/vector__cross__product_8cpp.html#a4b2a9757a87c18e1642d72410ecfaba8">math::vector_cross::mag</a>(product) << <span class="stringliteral">"\n"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> </div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 109</span> {</div>
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<div class="line"><span class="lineno"> 110</span><span class="comment"></span> </div>
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<div class="line"><span class="lineno"> 111</span><span class="comment"> /// Tests the functions with sample input before asking for user input.</span></div>
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<div class="line"><span class="lineno"> 112</span><span class="comment"></span> <a class="code hl_function" href="../../df/d66/vector__cross__product_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
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<div class="line"><span class="lineno"> 113</span> </div>
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<div class="line"><span class="lineno"> 114</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<double, 3></a> vec1;</div>
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<div class="line"><span class="lineno"> 115</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<double, 3></a> vec2;</div>
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<div class="line"><span class="lineno"> 116</span><span class="comment"></span> </div>
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<div class="line"><span class="lineno"> 117</span><span class="comment"> /// Gets the values for the first vector.</span></div>
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<div class="line"><span class="lineno"> 118</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nPass the first Vector: "</span>;</div>
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<div class="line"><span class="lineno"> 119</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> vec1[0] >> vec1[1] >> vec1[2];</div>
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<div class="line"><span class="lineno"> 120</span><span class="comment"></span> </div>
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<div class="line"><span class="lineno"> 121</span><span class="comment"> /// Gets the values for the second vector.</span></div>
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<div class="line"><span class="lineno"> 122</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nPass the second Vector: "</span>;</div>
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<div class="line"><span class="lineno"> 123</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> vec2[0] >> vec2[1] >> vec2[2];</div>
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<div class="line"><span class="lineno"> 124</span><span class="comment"></span> </div>
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<div class="line"><span class="lineno"> 125</span><span class="comment"> /// Displays the output out.</span></div>
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<div class="line"><span class="lineno"> 126</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<double, 3></a> product = <a class="code hl_function" href="../../df/d66/vector__cross__product_8cpp.html#a225732399c5c076976eae5b180a9f8c9">math::vector_cross::cross</a>(vec1, vec2);</div>
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<div class="line"><span class="lineno"> 127</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nThe cross product is: "</span> << product[0] << <span class="stringliteral">" "</span> << product[1] << <span class="stringliteral">" "</span> << product[2] << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 128</span><span class="comment"></span> </div>
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<div class="line"><span class="lineno"> 129</span><span class="comment"> /// Displays the magnitude of the cross product.</span></div>
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<div class="line"><span class="lineno"> 130</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Magnitude: "</span> << <a class="code hl_function" href="../../df/d66/vector__cross__product_8cpp.html#a4b2a9757a87c18e1642d72410ecfaba8">math::vector_cross::mag</a>(product) << <span class="stringliteral">"\n"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 131</span> </div>
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<div class="line"><span class="lineno"> 132</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 133</span>}</div>
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<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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@@ -333,15 +333,15 @@ Here is the call graph for this function:</div>
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||||
<p >test the <a class="el" href="../../df/d66/vector__cross__product_8cpp.html#a225732399c5c076976eae5b180a9f8c9" title="Function to calculate the cross product of the passed arrays containing the direction ratios of the t...">cross()</a> and the <a class="el" href="../../df/d66/vector__cross__product_8cpp.html#a4b2a9757a87c18e1642d72410ecfaba8" title="Calculates the magnitude of the mathematical vector from it's direction ratios.">mag()</a> functions. </p>
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<p >Tests the <a class="el" href="../../df/d66/vector__cross__product_8cpp.html#a225732399c5c076976eae5b180a9f8c9" title="Function to calculate the cross product of the passed arrays containing the direction ratios of the t...">cross()</a> function.</p>
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||||
<p >Tests the <a class="el" href="../../df/d66/vector__cross__product_8cpp.html#a4b2a9757a87c18e1642d72410ecfaba8" title="Calculates the magnitude of the mathematical vector from it's direction ratios.">mag()</a> function.</p>
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<div class="fragment"><div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> {<span class="comment"></span></div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span><span class="comment"> /// Tests the cross() function.</span></div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<double, 3></a> t_vec = <a class="code hl_function" href="../../df/d66/vector__cross__product_8cpp.html#a225732399c5c076976eae5b180a9f8c9">math::vector_cross::cross</a>({1, 2, 3}, {4, 5, 6});</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> assert(t_vec[0] == -3 && t_vec[1] == 6 && t_vec[2] == -3);</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span><span class="comment"></span> </div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span><span class="comment"> /// Tests the mag() function.</span></div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span><span class="comment"></span> <span class="keywordtype">double</span> t_mag = <a class="code hl_function" href="../../df/d66/vector__cross__product_8cpp.html#a4b2a9757a87c18e1642d72410ecfaba8">math::vector_cross::mag</a>({6, 8, 0});</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> assert(t_mag == 10);</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 94</span> {<span class="comment"></span></div>
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<div class="line"><span class="lineno"> 95</span><span class="comment"> /// Tests the cross() function.</span></div>
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<div class="line"><span class="lineno"> 96</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<double, 3></a> t_vec = <a class="code hl_function" href="../../df/d66/vector__cross__product_8cpp.html#a225732399c5c076976eae5b180a9f8c9">math::vector_cross::cross</a>({1, 2, 3}, {4, 5, 6});</div>
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<div class="line"><span class="lineno"> 97</span> assert(t_vec[0] == -3 && t_vec[1] == 6 && t_vec[2] == -3);</div>
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<div class="line"><span class="lineno"> 98</span><span class="comment"></span> </div>
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<div class="line"><span class="lineno"> 99</span><span class="comment"> /// Tests the mag() function.</span></div>
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<div class="line"><span class="lineno"> 100</span><span class="comment"></span> <span class="keywordtype">double</span> t_mag = <a class="code hl_function" href="../../df/d66/vector__cross__product_8cpp.html#a4b2a9757a87c18e1642d72410ecfaba8">math::vector_cross::mag</a>({6, 8, 0});</div>
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<div class="line"><span class="lineno"> 101</span> assert(t_mag == 10);</div>
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