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@@ -11,11 +11,11 @@ a :ref:`Plane Mesh<class_PlaneMesh>` inside a shader. Vertex displacement can be
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for a wide variety of effects, but most commonly it is used
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as a quick way to turn a flat plane into a simple terrain. Typically
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this is done using a heightmap, but in order to keep everything self
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-contained, in this tutorial we will use noise in a shader. At the end
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-of this tutorial we will have a deformed plane that looks like a
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+contained, in this tutorial, we will use noise in a shader. At the end
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+of this tutorial, we will have a deformed plane that looks like a
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miniature terrain complete with dynamic lighting.
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-By reading this tutorial you should gain a basic understanding of:
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+By reading this tutorial, you should gain a basic understanding of:
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* How to create and subdivide a :ref:`Plane Mesh<class_PlaneMesh>`
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* How to create and assign a material to a :ref:`Mesh<class_MeshInstance>`
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@@ -55,7 +55,7 @@ Now set the ``Subdivide Width`` and ``Subdivide Height`` to ``32``.
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.. image:: img/vertex_displacement_subdivided_mesh.png
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-You can see that there are now way more triangles in the :ref:`Mesh<class_MeshInstance>`. This will give
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+You can see that there are now many more triangles in the :ref:`Mesh<class_MeshInstance>`. This will give
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us more vertices to work with and thus allow us to add more detail.
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.. image:: img/vertex_displacement_wireframe2.png
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@@ -64,7 +64,7 @@ us more vertices to work with and thus allow us to add more detail.
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Shader magic
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------------
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-Now that we have a :ref:`Plane Mesh<class_MeshInstance>` to draw lets setup the material that will deform the :ref:`Mesh<class_MeshInstance>`.
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+Now that we have a :ref:`Plane Mesh<class_MeshInstance>` to draw, let's set up the material that will deform the :ref:`Mesh<class_MeshInstance>`.
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Click beside material in the :ref:`Plane Mesh<class_MeshInstance>` Menu and create a new :ref:`ShaderMaterial<class_ShaderMaterial>`.
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@@ -92,7 +92,7 @@ Godot won't run the light shader on this object.
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render_mode unshaded;
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This should remove the errors and your :ref:`Mesh<class_MeshInstance>` should turn white. If you were to comment out
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-the ``render_mode`` the plane would appear blue because it would pick up the sky colors.
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+the ``render_mode``, the plane would appear blue because it would pick up the sky colors.
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Next we will define a vertex shader. The vertex shader determines where the vertices of your
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:ref:`Mesh<class_MeshInstance>` appear in the final scene. We will be using it to offset the height of each vertex and
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@@ -106,7 +106,7 @@ We define the vertex shader like so:
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}
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-With nothing in the ``vertex`` function Godot will use its default vertex shader. We can easily
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+With nothing in the ``vertex`` function, Godot will use its default vertex shader. We can easily
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start to make changes by adding a single line:
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::
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@@ -115,15 +115,15 @@ start to make changes by adding a single line:
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VERTEX.y += cos(VERTEX.x) * sin(VERTEX.z);
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}
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-Adding this line you should get an image like the one below.
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+Adding this line, you should get an image like the one below.
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.. image:: img/vertex_displacement_cos.png
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-Okay, lets unpack this. The ``y`` value of the ``VERTEX`` is being increased. And we are passing
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-the ``x`` and ``z`` components of the ``VERTEX`` as arguments to ``cos`` and ``sin`` this gives us
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-a wave like appearance across the ``x`` and ``z`` axis.
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+Okay, let's unpack this. The ``y`` value of the ``VERTEX`` is being increased. And we are passing
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+the ``x`` and ``z`` components of the ``VERTEX`` as arguments to ``cos`` and ``sin``; that gives us
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+a wave-like appearance across the ``x`` and ``z`` axes.
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-What we want to achieve is the look of little hills, after all ``cos`` and ``sin`` already look kind of like
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+What we want to achieve is the look of little hills; after all. ``cos`` and ``sin`` already look kind of like
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hills. We do so by scaling the inputs to the ``cos`` and ``sin`` functions.
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::
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@@ -145,13 +145,13 @@ so the range of the output is much too high. We correct this by multiplying the
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.. image:: img/vertex_displacement_cos_amplitude.png
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-Looks much more hilly now. But ``cos`` and ``sin`` are boring. Lets move onto something more interesting.
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+Looks much more hilly now. But ``cos`` and ``sin`` are boring. Let's move onto something more interesting.
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Noise
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-----
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Noise is a very popular tool for procedural generation. Think of it as similar to the cosine function
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-where you have repeating hills except with noise each hill has a different height. Understanding
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+where you have repeating hills except, with noise, each hill has a different height. Understanding
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noise is not necessary for this tutorial. There is nothing wrong with simply copying and pasting
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the code below.
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@@ -166,10 +166,10 @@ for each of the hill tops.
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You will find similar functions to this all over the internet. It is lovingly referred to as the
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'one-liner hash function'. It works well for simple noise, but there are many better alternatives
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-floating around as well. For this tutorial it will work fine.
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+floating around as well. For this tutorial, it will work fine.
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Next we define the ``noise`` function. It smoothly interpolates between the random heights.
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-Again, if this code seems daunting, do not worry, just copy paste and move on with the tutorial.
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+Again, if this code seems daunting, do not worry; just copy, paste and move on with the tutorial.
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::
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@@ -182,9 +182,9 @@ Again, if this code seems daunting, do not worry, just copy paste and move on wi
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mix(hash(p + a.yx), hash(p + a.xx), f.x), f.y);
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}
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-Lastly, to add detail we combine successive layers of noise using something called fractal
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-brownian motion or FBM. Scary name aside FBM noise just adds together layers of noise with
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-increase frequency and decreasing amplitude. To implement it we run over a for loop where
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+Lastly, to add detail, we combine successive layers of noise using something called fractal
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+brownian motion or FBM. Scary name aside, FBM noise just adds together layers of noise with
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+increasing frequency and decreasing amplitude. To implement it, we run over a for loop where
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we increase the frequency each level, decrease the amplitude, and calculate a new layer of noise.
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::
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@@ -210,7 +210,7 @@ We can now use this noise function in place of ``cos`` and ``sin`` in the previo
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.. image:: img/vertex_displacement_noise1.png
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-With the noise function in place we already have something that looks kind of cool.
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+With the noise function in place, we already have something that looks kind of cool.
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There is a lot of detail, it kind of looks hilly or mountainous.
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Fragment shader
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@@ -220,13 +220,13 @@ The difference between a vertex shader and a fragment shader is that the vertex
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runs per vertex and sets properties such as ``VERTEX`` (position) and ``NORMAL``, while
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the fragment shader runs per pixel and, most importantly, sets the ``ALBEDO`` color of the :ref:`Mesh<class_MeshInstance>`.
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-Now lets look at the :ref:`Mesh<class_MeshInstance>` with a regular shader instead of the wireframe. Set the
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+Now let's look at the :ref:`Mesh<class_MeshInstance>` with a regular shader instead of the wireframe. Set the
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viewport back to 'Display Normal'.
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.. image:: img/vertex_displacement_noise2.png
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-The :ref:`Mesh<class_MeshInstance>` appears completely white because the fragment shader is coloring each pixel white,
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-but if every pixel is white we lose detail on the :ref:`Mesh<class_MeshInstance>`. So lets color each pixel based
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+The :ref:`Mesh<class_MeshInstance>` appears completely white because the fragment shader is coloring each pixel white;
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+but if every pixel is white, we lose detail on the :ref:`Mesh<class_MeshInstance>`. So let's color each pixel based
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on the height calculated in the vertex shader. We do so by setting the ``COLOR`` variable
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in the vertex shader. And by setting the ``ALBEDO`` in the fragment shader to the calculated
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``COLOR`` variable.
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@@ -242,7 +242,7 @@ in the vertex shader. And by setting the ``ALBEDO`` in the fragment shader to th
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ALBEDO = COLOR.xyz;
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}
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-With this change we can see the detail of the :ref:`Mesh<class_MeshInstance>`, even without displaying the :ref:`Mesh<class_MeshInstance>`'s wireframe.
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+With this change, we can see the detail of the :ref:`Mesh<class_MeshInstance>`, even without displaying the :ref:`Mesh<class_MeshInstance>`'s wireframe.
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.. image:: img/vertex_displacement_noise3.png
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@@ -251,19 +251,19 @@ Uniforms
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Uniform variables allow you to pass data from the game into the shader. They can
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be very useful for controlling shader effects. Uniforms can be almost any
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-datatype that can be used in the shader. To use a uniform you declare it in
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+datatype that can be used in the shader. To use a uniform, you declare it in
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your :ref:`Shader<class_Shader>` using the keyword ``uniform``.
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-Lets make a uniform that changes the height of the terrain.
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+Let's make a uniform that changes the height of the terrain.
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::
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uniform float height_scale = 0.5;
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-Godot lets you initialize a uniform with a value, here ``height_scale`` is set to
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-``0.5``. You can set uniforms from gdscript by calling the function ``set_shader_param``
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-on the material corresponding to the shader. The value passed from gdscript takes
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+Godot lets you initialize a uniform with a value; here, ``height_scale`` is set to
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+``0.5``. You can set uniforms from GDScript by calling the function ``set_shader_param``
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+on the material corresponding to the shader. The value passed from GDScript takes
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precedence over the value used to initialize it in the shader.
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::
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@@ -288,20 +288,20 @@ And here it is with ``height_scale`` set to ``0.2``:
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.. image:: img/vertex_displacement_uniform2.png
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-Using uniforms we can even change the value every frame to animate the height of the terrain.
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-Combined with :ref:`Tweens<class_Tween>` this can be especially useful for simple animations.
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+Using uniforms, we can even change the value every frame to animate the height of the terrain.
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+Combined with :ref:`Tweens<class_Tween>`, this can be especially useful for simple animations.
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Interacting with light
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----------------------
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-As a final part of this tutorial lets try to set up the terrain to interact with light.
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+As a final part of this tutorial, let's try to set up the terrain to interact with light.
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First, we will add an :ref:`OmniLight<class_OmniLight>` to the scene.
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.. image:: img/vertex_displacement_light1.png
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-You should notice that nothing changes, this is because we set the ``render_mode`` to ``unshaded``
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-at the beginning of this tutorial, lets remove that.
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+You should notice that nothing changes. That is because we set the ``render_mode`` to ``unshaded``
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+at the beginning of this tutorial; let's remove that.
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::
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@@ -310,19 +310,19 @@ at the beginning of this tutorial, lets remove that.
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.. image:: img/vertex_displacement_light2.png
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-It looks slightly better now, you can see the light affecting the terrain, and it has
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+It looks slightly better now; you can see the light affecting the terrain, and it has
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turned blue as a result of the sky. The problem is the light is affecting the terrain
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as if it were a flat plane. This is because the light shader uses the normals of the
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:ref:`Mesh<class_MeshInstance>` to calculate light. The normals are stored in the :ref:`Mesh<class_MeshInstance>`, but we are changing
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-the shape of the :ref:`Mesh<class_MeshInstance>` in the shader so the normals are no longer correct. To fix this
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-we need to recalculate the normals in the shader. Godot makes this easy for us, all we
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+the shape of the :ref:`Mesh<class_MeshInstance>` in the shader, so the normals are no longer correct. To fix this,
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+we need to recalculate the normals in the shader. Godot makes this easy for us; all we
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have to do is calculate the new normal and set ``NORMAL`` to that value in the vertex shader.
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-With ``NORMAL`` set Godot will do all the difficult lighting calculations for us.
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+With ``NORMAL`` set, Godot will do all the difficult lighting calculations for us.
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-To calculate the normal from noise we are going to use a technique called 'central differences'.
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-This is used a lot, especially in places like shadertoy, to calculate normals in shaders.
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+To calculate the normal from noise, we are going to use a technique called 'central differences'.
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+This is used a lot, especially in places like Shadertoy, to calculate normals in shaders.
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What we will do is calculate the noise at four points surrounding the vertex in the ``x`` and ``z`` directions and then calculate
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-the slope at the vertex from that. After all a normal is just an indicator of the slope of the
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+the slope at the vertex from that. After all, a normal is just an indicator of the slope of the
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noise.
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We calculate the normal with one line in the vertex shader.
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@@ -336,33 +336,33 @@ We calculate the normal with one line in the vertex shader.
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The variable ``e`` just makes it easier to add and subtract the right value from the ``VERTEX``.
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Setting ``e`` to a lower number will increase the level of detail of the normal.
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-With ``NORMAL`` calculated the terrain now looks like:
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+With ``NORMAL`` calculated, the terrain now looks like:
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.. image:: img/vertex_displacement_normal.png
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This still does not look how we want it to. The issue here is that the noise changes
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faster than the vertices do. So when we calculate the normal at the point of the
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-``VERTEX`` it does not align with what we see in the final :ref:`Mesh<class_MeshInstance>`. In order to fix
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-this we add more vertices. The below image is made with a :ref:`Mesh<class_MeshInstance>` with ``subdivision`` set
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+``VERTEX``, it does not align with what we see in the final :ref:`Mesh<class_MeshInstance>`. In order to fix
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+this, we add more vertices. The below image is made with a :ref:`Mesh<class_MeshInstance>` with ``subdivision`` set
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to ``100``.
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.. image:: img/vertex_displacement_normal_detailed1.png
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-Now we can drag the light around and the lighting will update automatically.
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+Now, we can drag the light around and the lighting will update automatically.
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.. image:: img/vertex_displacement_normal_detailed2.png
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.. image:: img/vertex_displacement_normal_detailed3.png
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-If you zoom the camera out you can see that the :ref:`Mesh<class_MeshInstance>` now looks like a small terrain.
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+If you zoom the camera out, you can see that the :ref:`Mesh<class_MeshInstance>` now looks like a small terrain.
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.. image:: img/vertex_displacement_terrain.png
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-That is everything for this tutorial. Hopefully you understand the basics of vertex
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-shaders in Godot. As a further exercise try changing the ``height_scale`` from gdscript,
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+That is everything for this tutorial. Hopefully, you now understand the basics of vertex
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+shaders in Godot. As a further exercise, try changing the ``height_scale`` from gdscript,
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try using different :ref:`Primitive Meshes<class_PrimitiveMesh>`, and try making your
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own functions to calculate ``height``.
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-For further information on how to use shaders in Godot
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+For further information on how to use shaders in Godot,
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you should check out the :ref:`doc_shading_language` page.
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