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<div class="headertitle"><div class="title">ground_to_ground_projectile_motion.cpp</div></div>
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<div class="contents">
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<a href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"><a class="line" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#a525335710b53cb064ca56b936120431e"> 13</a></span><span class="preprocessor">#define _USE_MATH_DEFINES</span></div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include <cmath></span> </div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d5/dd0/namespacephysics.html">physics</a> {</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d0/d20/namespaceground__to__ground__projectile__motion.html">ground_to_ground_projectile_motion</a> {</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> </div>
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<div class="foldopen" id="foldopen00034" data-start="{" data-end="}">
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"><a class="line" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#ab00e9785fb2670f7af99d6f3d636f87c"> 34</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#ab00e9785fb2670f7af99d6f3d636f87c">degrees_to_radians</a>(<span class="keywordtype">double</span> degrees){</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keywordtype">double</span> radians = degrees * (M_PI / 180);</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordflow">return</span> radians;</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span>}</div>
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</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="foldopen" id="foldopen00047" data-start="{" data-end="}">
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"><a class="line" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#a563e066975fed1b84750a0a47c3cbb37"> 47</a></span>T <a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#a563e066975fed1b84750a0a47c3cbb37">time_of_flight</a>(T initial_velocity, T angle, <span class="keywordtype">double</span> gravity = 9.81) {</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordtype">double</span> Viy = initial_velocity * (std::sin(<a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#ab00e9785fb2670f7af99d6f3d636f87c">degrees_to_radians</a>(angle))); <span class="comment">// calculate y component of the initial velocity</span></div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">return</span> 2.0 * Viy / gravity;</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>}</div>
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</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span></div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span><span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="foldopen" id="foldopen00059" data-start="{" data-end="}">
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"><a class="line" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#a10362eb607d7882bac3a0688504b00ff"> 59</a></span>T <a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#a10362eb607d7882bac3a0688504b00ff">horizontal_range</a>(T initial_velocity, T angle, T time) {</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordtype">double</span> Vix = initial_velocity * (std::cos(<a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#ab00e9785fb2670f7af99d6f3d636f87c">degrees_to_radians</a>(angle))); <span class="comment">// calculate x component of the initial velocity</span></div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">return</span> Vix * time;</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span>}</div>
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</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span></div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span><span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="foldopen" id="foldopen00072" data-start="{" data-end="}">
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"><a class="line" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#aa554429def63077ab7a550c0affbfefa"> 72</a></span>T <a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#aa554429def63077ab7a550c0affbfefa">max_height</a>(T initial_velocity, T angle, <span class="keywordtype">double</span> gravity = 9.81) {</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordtype">double</span> Viy = initial_velocity * (std::sin(<a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#ab00e9785fb2670f7af99d6f3d636f87c">degrees_to_radians</a>(angle))); <span class="comment">// calculate y component of the initial velocity</span></div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordflow">return</span> (std::pow(Viy, 2) / (2.0 * gravity));</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span>}</div>
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</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span>} <span class="comment">// namespace ground_to_ground_projectile_motion</span></div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span>} <span class="comment">// namespace physics</span></div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span></div>
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<div class="foldopen" id="foldopen00083" data-start="{" data-end="}">
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"><a class="line" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 83</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// initial input variables</span></div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordtype">double</span> initial_velocity = 5.0; <span class="comment">// double initial_velocity input</span></div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordtype">double</span> angle = 40.0; <span class="comment">// double angle input</span></div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> </div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="comment">// 1st test</span></div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordtype">double</span> expected_time_of_flight = 0.655; <span class="comment">// expected time output</span></div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keywordtype">double</span> flight_time_output =</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> std::round(<a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#a563e066975fed1b84750a0a47c3cbb37">physics::ground_to_ground_projectile_motion::time_of_flight</a>(initial_velocity, angle) * 1000.0) /</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> 1000.0; <span class="comment">// round output to 3 decimal places</span></div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> </div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> std::cout << <span class="stringliteral">"Projectile Flight Time (double)"</span> << std::endl;</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> std::cout << <span class="stringliteral">"Input Initial Velocity: "</span> << initial_velocity << std::endl;</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> std::cout << <span class="stringliteral">"Input Angle: "</span> << angle << std::endl;</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> std::cout << <span class="stringliteral">"Expected Output: "</span> << expected_time_of_flight << std::endl;</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> std::cout << <span class="stringliteral">"Output: "</span> << flight_time_output << std::endl;</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> assert(flight_time_output == expected_time_of_flight);</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> std::cout << <span class="stringliteral">"TEST PASSED"</span> << std::endl << std::endl;</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> </div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// 2nd test</span></div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordtype">double</span> expected_horizontal_range = 2.51; <span class="comment">// expected range output</span></div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordtype">double</span> horizontal_range_output =</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> std::round(<a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#a10362eb607d7882bac3a0688504b00ff">physics::ground_to_ground_projectile_motion::horizontal_range</a>(initial_velocity, angle,</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> flight_time_output) *</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> 100.0) /</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> 100.0; <span class="comment">// round output to 2 decimal places</span></div>
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<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> std::cout << <span class="stringliteral">"Projectile Horizontal Range (double)"</span> << std::endl;</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> std::cout << <span class="stringliteral">"Input Initial Velocity: "</span> << initial_velocity << std::endl;</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> std::cout << <span class="stringliteral">"Input Angle: "</span> << angle << std::endl;</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> std::cout << <span class="stringliteral">"Input Time Of Flight: "</span> << flight_time_output << std::endl;</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> std::cout << <span class="stringliteral">"Expected Output: "</span> << expected_horizontal_range << std::endl;</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> std::cout << <span class="stringliteral">"Output: "</span> << horizontal_range_output << std::endl;</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> assert(horizontal_range_output == expected_horizontal_range);</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> std::cout << <span class="stringliteral">"TEST PASSED"</span> << std::endl << std::endl;</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// 3rd test</span></div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordtype">double</span> expected_max_height = 0.526; <span class="comment">// expected height output</span></div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordtype">double</span> max_height_output =</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> std::round(<a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#aa554429def63077ab7a550c0affbfefa">physics::ground_to_ground_projectile_motion::max_height</a>(initial_velocity, angle) * 1000.0) /</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> 1000.0; <span class="comment">// round output to 3 decimal places</span></div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> std::cout << <span class="stringliteral">"Projectile Max Height (double)"</span> << std::endl;</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> std::cout << <span class="stringliteral">"Input Initial Velocity: "</span> << initial_velocity << std::endl;</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> std::cout << <span class="stringliteral">"Input Angle: "</span> << angle << std::endl;</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> std::cout << <span class="stringliteral">"Expected Output: "</span> << expected_max_height << std::endl;</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> std::cout << <span class="stringliteral">"Output: "</span> << max_height_output << std::endl;</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> assert(max_height_output == expected_max_height);</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> std::cout << <span class="stringliteral">"TEST PASSED"</span> << std::endl << std::endl;</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span>}</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="foldopen" id="foldopen00138" data-start="{" data-end="}">
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"><a class="line" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 138</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <a class="code hl_function" href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span>}</div>
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<div class="ttc" id="aground__to__ground__projectile__motion_8cpp_html_a10362eb607d7882bac3a0688504b00ff"><div class="ttname"><a href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#a10362eb607d7882bac3a0688504b00ff">physics::ground_to_ground_projectile_motion::horizontal_range</a></div><div class="ttdeci">T horizontal_range(T initial_velocity, T angle, T time)</div><div class="ttdoc">Calculate the horizontal distance that the projectile travels.</div><div class="ttdef"><b>Definition</b> <a href="#l00059">ground_to_ground_projectile_motion.cpp:59</a></div></div>
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<div class="ttc" id="aground__to__ground__projectile__motion_8cpp_html_a563e066975fed1b84750a0a47c3cbb37"><div class="ttname"><a href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#a563e066975fed1b84750a0a47c3cbb37">physics::ground_to_ground_projectile_motion::time_of_flight</a></div><div class="ttdeci">T time_of_flight(T initial_velocity, T angle, double gravity=9.81)</div><div class="ttdoc">Calculate the time of flight.</div><div class="ttdef"><b>Definition</b> <a href="#l00047">ground_to_ground_projectile_motion.cpp:47</a></div></div>
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<div class="ttc" id="aground__to__ground__projectile__motion_8cpp_html_aa554429def63077ab7a550c0affbfefa"><div class="ttname"><a href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#aa554429def63077ab7a550c0affbfefa">physics::ground_to_ground_projectile_motion::max_height</a></div><div class="ttdeci">T max_height(T initial_velocity, T angle, double gravity=9.81)</div><div class="ttdoc">Calculate the max height of the projectile.</div><div class="ttdef"><b>Definition</b> <a href="#l00072">ground_to_ground_projectile_motion.cpp:72</a></div></div>
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<div class="ttc" id="aground__to__ground__projectile__motion_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="#l00083">ground_to_ground_projectile_motion.cpp:83</a></div></div>
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<div class="ttc" id="aground__to__ground__projectile__motion_8cpp_html_ab00e9785fb2670f7af99d6f3d636f87c"><div class="ttname"><a href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#ab00e9785fb2670f7af99d6f3d636f87c">physics::ground_to_ground_projectile_motion::degrees_to_radians</a></div><div class="ttdeci">double degrees_to_radians(double degrees)</div><div class="ttdoc">Convert radians to degrees.</div><div class="ttdef"><b>Definition</b> <a href="#l00034">ground_to_ground_projectile_motion.cpp:34</a></div></div>
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<div class="ttc" id="aground__to__ground__projectile__motion_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/d29/ground__to__ground__projectile__motion_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00138">ground_to_ground_projectile_motion.cpp:138</a></div></div>
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<div class="ttc" id="anamespaceground__to__ground__projectile__motion_html"><div class="ttname"><a href="../../d0/d20/namespaceground__to__ground__projectile__motion.html">ground_to_ground_projectile_motion</a></div><div class="ttdoc">Functions for the Ground to ground projectile motion equation.</div></div>
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<div class="ttc" id="anamespacephysics_html"><div class="ttname"><a href="../../d5/dd0/namespacephysics.html">physics</a></div><div class="ttdoc">for IO operations</div></div>
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