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OpenGL Mathematics (GLM)
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<?xml version="1.0" encoding="iso-8859-1" standalone="no"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN" "http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
<html><head><title>OpenGL Mathematics: Code</title><meta http-equiv="Content-Language" content="en" /><meta http-equiv="Content-Type" content="application/xhtml+xml; charset=iso-8859-1" /><meta name="copyright" content="G-Truc Creation" /><link href="./common/style.css" rel="stylesheet" media="screen, print, embossed" type="text/css" /><script type="text/javascript">
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</script></head><body><table><tr><td class="menu"><div class="menu1"><br /><div><a href="./goodies/logo1920x1200.png"><img class="menu-img" src="./common/logo.png" alt="GLM Logo" /></a></div><br /><div><a class="menu" href="https://sourceforge.net/projects/ogl-math/files/glm-0.9.2.3/glm-0.9.2.3.zip/download">
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</span></li><li class="code-line"><span class="code-line-content">
{
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">vec3 </span><span class="keyword">const </span> &amp; a = Triangle.Position[0];
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">vec3 </span><span class="keyword">const </span> &amp; b = Triangle.Position[1];
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">vec3 </span><span class="keyword">const </span> &amp; c = Triangle.Position[2];
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
Triangle.Normal = glm::normalize(glm::cross(c - a, b - a));
</span></li><li class="code-line"><span class="code-line-content">
}
</span></li></ul><span xmlns="http://www.w3.org/1999/xhtml" class="code-title">Matrix transform:</span><ul xmlns="http://www.w3.org/1999/xhtml" class="code-list"><li class="code-line"><span class="code-line-content"><span class="comment">// glm::vec3, glm::vec4, glm::ivec4, glm::mat4</span></span></li><li class="code-line"><span class="code-line-content"><span class="keyword">#include </span><span class="string">&lt;glm/glm.hpp&gt; </span></span></li><li class="code-line"><span class="code-line-content"><span class="comment">// glm::perspective</span></span></li><li class="code-line"><span class="code-line-content"><span class="keyword">#include </span><span class="string">&lt;glm/gtc/matrix_projection.hpp&gt; </span></span></li><li class="code-line"><span class="code-line-content"><span class="comment">// glm::translate, glm::rotate, glm::scale</span></span></li><li class="code-line"><span class="code-line-content"><span class="keyword">#include </span><span class="string">&lt;glm/gtc/matrix_transform.hpp&gt; </span></span></li><li class="code-line"><span class="code-line-content"><span class="comment">// glm::value_ptr</span></span></li><li class="code-line"><span class="code-line-content"><span class="keyword">#include </span><span class="string">&lt;glm/gtc/type_ptr.hpp&gt; </span></span></li><li class="code-line"><span class="code-line-content" /></li><li class="code-line"><span class="code-line-content">
{
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">mat4</span> Projection =
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
glm::perspective(45.0f, 4.0f / 3.0f, 0.1f, 100.f);
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">mat4</span> ViewTranslate = glm::translate(
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
glm::<span class="userword">mat4</span>(1.0f),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
glm::<span class="userword">vec3</span>(0.0f, 0.0f, -Translate));
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">mat4</span> ViewRotateX = glm::rotate(
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
ViewTranslate,
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
Rotate.y, glm::<span class="userword">vec3</span>(-1.0f, 0.0f, 0.0f));
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">mat4</span> View = glm::rotate(
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
ViewRotateX,
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
Rotate.x, glm::<span class="userword">vec3</span>(0.0f, 1.0f, 0.0f));
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::mat4 Model = glm::scale(
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
glm::<span class="userword">mat4</span>(1.0f),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
glm::<span class="userword">vec3</span>(0.5f));
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">mat4</span> MVP = Projection * View * Model;
</span></li><li class="code-line"><span class="code-line-content" /></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glUniformMatrix4fv(
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
LocationMVP, 1, GL_FALSE, glm::value_ptr(MVP));
</span></li><li class="code-line"><span class="code-line-content">
}
</span></li></ul><span xmlns="http://www.w3.org/1999/xhtml" class="code-title">Vector types:</span><ul xmlns="http://www.w3.org/1999/xhtml" class="code-list"><li class="code-line"><span class="code-line-content"><span class="keyword">#include </span><span class="string">&lt;glm/glm.hpp&gt;</span></span></li><li class="code-line"><span class="code-line-content"><span class="keyword">#include </span><span class="string">&lt;glm/gtx/type_precision.hpp&gt;</span></span></li><li class="code-line"><span class="code-line-content" /></li><li class="code-line"><span class="code-line-content">
std::size_t <span class="keyword">const </span>VertexCount = 4;
</span></li><li class="code-line"><span class="code-line-content" /></li><li class="code-line"><span class="code-line-content"><span class="comment">// Float quad geometry</span></span></li><li class="code-line"><span class="code-line-content">
std::size_t <span class="keyword">const </span>PositionSizeF32 = VertexCount * <span class="keyword">sizeof</span>(glm::<span class="userword">vec2</span>);
</span></li><li class="code-line"><span class="code-line-content">
glm::<span class="userword">vec2 </span><span class="keyword">const </span>PositionDataF32[VertexCount] =
</span></li><li class="code-line"><span class="code-line-content">
{
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">vec2</span>(-1.0f,-1.0f),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">vec2</span>( 1.0f,-1.0f),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">vec2</span>( 1.0f, 1.0f),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">vec2</span>(-1.0f, 1.0f)
</span></li><li class="code-line"><span class="code-line-content">
};
</span></li><li class="code-line"><span class="code-line-content" /></li><li class="code-line"><span class="code-line-content"><span class="comment">// Half-float quad geometry</span></span></li><li class="code-line"><span class="code-line-content">
std::size_t <span class="keyword">const </span>PositionSizeF16 = VertexCount * <span class="keyword">sizeof</span>(glm::<span class="userword">hvec2</span>);
</span></li><li class="code-line"><span class="code-line-content">
glm::<span class="userword">hvec2 </span><span class="keyword">const </span>PositionDataF16[VertexCount] =
</span></li><li class="code-line"><span class="code-line-content">
{
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">hvec2</span>(-1.0f, -1.0f),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">hvec2</span>( 1.0f, -1.0f),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">hvec2</span>( 1.0f, 1.0f),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">hvec2</span>(-1.0f, 1.0f)
</span></li><li class="code-line"><span class="code-line-content">
};
</span></li><li class="code-line"><span class="code-line-content" /></li><li class="code-line"><span class="code-line-content"><span class="comment">// 8 bits signed integer quad geometry</span></span></li><li class="code-line"><span class="code-line-content">
std::size_t <span class="keyword">const </span>PositionSizeI8 = VertexCount * <span class="keyword">sizeof</span>(glm::<span class="userword">i8vec2</span>);
</span></li><li class="code-line"><span class="code-line-content">
glm::<span class="userword">i8vec2 </span><span class="keyword">const </span> PositionDataI8[VertexCount] =
</span></li><li class="code-line"><span class="code-line-content">
{
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">i8vec2</span>(-1,-1),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">i8vec2</span>( 1,-1),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">i8vec2</span>( 1, 1),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">i8vec2</span>(-1, 1)
</span></li><li class="code-line"><span class="code-line-content">
};
</span></li><li class="code-line"><span class="code-line-content" /></li><li class="code-line"><span class="code-line-content"><span class="comment">// 32 bits signed integer quad geometry</span></span></li><li class="code-line"><span class="code-line-content">
std::size_t <span class="keyword">const </span>PositionSizeI32 = VertexCount * <span class="keyword">sizeof</span>(glm::<span class="userword">i32vec2</span>);
</span></li><li class="code-line"><span class="code-line-content">
glm::<span class="userword">i32vec2 </span><span class="keyword">const </span>PositionDataI32[VertexCount] =
</span></li><li class="code-line"><span class="code-line-content">
{
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">i32vec2 </span>(-1,-1),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">i32vec2 </span>( 1,-1),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">i32vec2 </span>( 1, 1),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">i32vec2 </span>(-1, 1)
</span></li><li class="code-line"><span class="code-line-content">
};
</span></li></ul><span xmlns="http://www.w3.org/1999/xhtml" class="code-title">Lighting:</span><ul xmlns="http://www.w3.org/1999/xhtml" class="code-list"><li class="code-line"><span class="code-line-content"><span class="keyword">#include </span><span class="string">&lt;glm/glm.hpp&gt;</span></span></li><li class="code-line"><span class="code-line-content"><span class="keyword">#include </span><span class="string">&lt;glm/gtx/random.hpp&gt;</span></span></li><li class="code-line"><span class="code-line-content" /></li><li class="code-line"><span class="code-line-content">
glm::<span class="userword">vec3 </span> lighting
</span></li><li class="code-line"><span class="code-line-content">
(
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
intersection<span class="keyword"> const </span>&amp; Intersection,
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
material<span class="keyword"> const </span>&amp; Material,
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
light<span class="keyword"> const </span>&amp; Light,
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">vec3 </span>const &amp; View
</span></li><li class="code-line"><span class="code-line-content">
)
</span></li><li class="code-line"><span class="code-line-content">
{
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">vec3 </span> Color = glm::<span class="userword">vec3</span>(0.0f);
</span></li><li class="code-line"><span class="code-line-content" /></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
glm::<span class="userword">vec3 </span>LightVertor = glm::normalize(
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
Light.position() - Intersection.globalPosition() +
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:96px">
glm::vecRand3(0.0f, Light.inaccuracy());
</span></li><li class="code-line"><span class="code-line-content" /></li><li class="code-line"><span class="code-line-content" style="padding-left:32px"><span class="keyword">if</span>(!shadow(
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
Intersection.globalPosition(),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
Light.position(),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
LightVertor))
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:32px">
{
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px"><span class="keyword">float</span> Diffuse = glm::dot(Intersection.normal(), LightVector);
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px" /></li><li class="code-line"><span class="code-line-content" style="padding-left:64px"><span class="keyword">if</span>(Diffuse &lt;= 0.0f)
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:96px"><span class="keyword">return</span> Color;
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px"><span class="keyword">if</span>(Material.isDiffuse())
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:96px">
Color += Light.color() * Material.diffuse() * Diffuse;
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px" /></li><li class="code-line"><span class="code-line-content" style="padding-left:64px"><span class="keyword">if</span>(Material.isSpecular())
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
{
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:96px">
glm::<span class="userword">vec3 </span>Reflect = glm::reflect(
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:128px">
glm::normalize(-LightVector),
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:128px">
glm::normalize(Intersection.normal()));
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:96px"><span class="keyword">float</span> Dot = glm::dot(Reflect, View);
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:96px"><span class="keyword">float</span> Base = Dot &gt; 0.0f ? Dot : 0.0f;
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:96px"><span class="keyword">float</span> Specular = glm::pow(Base, Material.exponent());
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:96px">
Color += Material.specular() * Specular;
</span></li><li class="code-line"><span class="code-line-content" style="padding-left:64px">
}
</span></li><li class="code-line"><span class="code-line-content">
}
</span></li></ul><div class="title3">Copyright <EFBFBD> 2005 - 2011<a href="http://www.g-truc.net">G-Truc Creation</a></div></td></tr></table></body></html>