Merge branch 'master' into julia_set

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Ray 2025-08-11 20:26:16 +02:00 • committed by GitHub
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84 changed files with 1885 additions and 824 deletions

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@ -10,7 +10,7 @@ uniform vec4 color;
void main() void main()
{ {
// Each point is drawn as a screen space square of gl_PointSize size. gl_PointCoord contains where we are inside of // Each point is drawn as a screen space square of gl_PointSize size. gl_PointCoord contains where we are inside of
// it. (0, 0) is the top left, (1, 1) the bottom right corner. // it. (0, 0) is the top left, (1, 1) the bottom right corner
// Draw each point as a colored circle with alpha 1.0 in the center and 0.0 at the outer edges. // Draw each point as a colored circle with alpha 1.0 in the center and 0.0 at the outer edges
gl_FragColor = vec4(color.rgb, color.a*(1.0 - length(gl_PointCoord.xy - vec2(0.5))*2.0)); gl_FragColor = vec4(color.rgb, color.a*(1.0 - length(gl_PointCoord.xy - vec2(0.5))*2.0));
} }

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@ -11,7 +11,7 @@ out vec4 finalColor;
void main() void main()
{ {
// Each point is drawn as a screen space square of gl_PointSize size. gl_PointCoord contains where we are inside of // Each point is drawn as a screen space square of gl_PointSize size. gl_PointCoord contains where we are inside of
// it. (0, 0) is the top left, (1, 1) the bottom right corner. // it. (0, 0) is the top left, (1, 1) the bottom right corner
// Draw each point as a colored circle with alpha 1.0 in the center and 0.0 at the outer edges. // Draw each point as a colored circle with alpha 1.0 in the center and 0.0 at the outer edges
finalColor = vec4(color.rgb, color.a*(1 - length(gl_PointCoord.xy - vec2(0.5))*2)); finalColor = vec4(color.rgb, color.a*(1 - length(gl_PointCoord.xy - vec2(0.5))*2));
} }

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@ -12,9 +12,9 @@ uniform vec4 colDiffuse;
// NOTE: Add your custom variables here // NOTE: Add your custom variables here
const vec2 size = vec2(800, 450); // render size const vec2 size = vec2(800, 450); // Framebuffer size
const float samples = 5.0; // pixels per axis; higher = bigger glow, worse performance const float samples = 5.0; // Pixels per axis; higher = bigger glow, worse performance
const float quality = 2.5; // lower = smaller glow, better quality const float quality = 2.5; // Defines size factor: Lower = smaller glow, better quality
void main() void main()
{ {

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@ -16,7 +16,7 @@ float angle = 0.0;
vec2 VectorRotateTime(vec2 v, float speed) vec2 VectorRotateTime(vec2 v, float speed)
{ {
float time = uTime*speed; float time = uTime*speed;
float localTime = fract(time); // The time domain this works on is 1 sec. float localTime = fract(time); // The time domain this works on is 1 sec
if ((localTime >= 0.0) && (localTime < 0.25)) angle = 0.0; if ((localTime >= 0.0) && (localTime < 0.25)) angle = 0.0;
else if ((localTime >= 0.25) && (localTime < 0.50)) angle = PI/4.0*sin(2.0*PI*localTime - PI/2.0); else if ((localTime >= 0.25) && (localTime < 0.50)) angle = PI/4.0*sin(2.0*PI*localTime - PI/2.0);

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@ -13,9 +13,9 @@ uniform sampler2D gAlbedoSpec;
struct Light { struct Light {
int enabled; int enabled;
int type; // Unused in this demo. int type; // Unused in this demo
vec3 position; vec3 position;
vec3 target; // Unused in this demo. vec3 target; // Unused in this demo
vec4 color; vec4 color;
}; };

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@ -7,12 +7,12 @@ precision mediump float;
The Sieve of Eratosthenes -- a simple shader by ProfJski The Sieve of Eratosthenes -- a simple shader by ProfJski
An early prime number sieve: https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes An early prime number sieve: https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes
The screen is divided into a square grid of boxes, each representing an integer value. The screen is divided into a square grid of boxes, each representing an integer value
Each integer is tested to see if it is a prime number. Primes are colored white. Each integer is tested to see if it is a prime number. Primes are colored white
Non-primes are colored with a color that indicates the smallest factor which evenly divdes our integer. Non-primes are colored with a color that indicates the smallest factor which evenly divdes our integer
You can change the scale variable to make a larger or smaller grid. You can change the scale variable to make a larger or smaller grid
Total number of integers displayed = scale squared, so scale = 100 tests the first 10,000 integers. Total number of integers displayed = scale squared, so scale = 100 tests the first 10,000 integers
WARNING: If you make scale too large, your GPU may bog down! WARNING: If you make scale too large, your GPU may bog down!
@ -38,7 +38,7 @@ vec4 Colorizer(float counter, float maxSize)
void main() void main()
{ {
vec4 color = vec4(1.0); vec4 color = vec4(1.0);
float scale = 1000.0; // Makes 100x100 square grid. Change this variable to make a smaller or larger grid. float scale = 1000.0; // Makes 100x100 square grid. Change this variable to make a smaller or larger grid
float value = scale*floor(fragTexCoord.y*scale) + floor(fragTexCoord.x*scale); // Group pixels into boxes representing integer values float value = scale*floor(fragTexCoord.y*scale) + floor(fragTexCoord.x*scale); // Group pixels into boxes representing integer values
int valuei = int(value); int valuei = int(value);

View file

@ -1,4 +1,5 @@
#version 100 #version 100
#extension GL_EXT_frag_depth : enable // Extension required for writing depth #extension GL_EXT_frag_depth : enable // Extension required for writing depth
precision mediump float; // Precision required for OpenGL ES2 (WebGL) precision mediump float; // Precision required for OpenGL ES2 (WebGL)
@ -11,6 +12,7 @@ uniform vec4 colDiffuse;
void main() void main()
{ {
vec4 texelColor = texture2D(texture0, fragTexCoord); vec4 texelColor = texture2D(texture0, fragTexCoord);
gl_FragColor = texelColor*colDiffuse*fragColor; gl_FragColor = texelColor*colDiffuse*fragColor;
gl_FragDepthEXT = gl_FragCoord.z; gl_FragDepthEXT = gl_FragCoord.z;
} }

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@ -1,9 +1,9 @@
#version 100 #version 100
#extension GL_EXT_frag_depth : enable //Extension required for writing depth #extension GL_EXT_frag_depth : enable //Extension required for writing depth
#extension GL_OES_standard_derivatives : enable //Extension used for fwidth() #extension GL_OES_standard_derivatives : enable //Extension used for fwidth()
precision mediump float; // Precision required for OpenGL ES2 (WebGL) precision mediump float; // Precision required for OpenGL ES2 (WebGL)
// Input vertex attributes (from vertex shader) // Input vertex attributes (from vertex shader)
varying vec2 fragTexCoord; varying vec2 fragTexCoord;
varying vec4 fragColor; varying vec4 fragColor;
@ -19,13 +19,14 @@ uniform vec2 screenCenter;
#define ZERO 0 #define ZERO 0
// https://learnopengl.com/Advanced-OpenGL/Depth-testing // SRC: https://learnopengl.com/Advanced-OpenGL/Depth-testing
float CalcDepth(in vec3 rd, in float Idist){ float CalcDepth(in vec3 rd, in float Idist)
{
float local_z = dot(normalize(camDir),rd)*Idist; float local_z = dot(normalize(camDir),rd)*Idist;
return (1.0/(local_z) - 1.0/0.01)/(1.0/1000.0 -1.0/0.01); return (1.0/(local_z) - 1.0/0.01)/(1.0/1000.0 -1.0/0.01);
} }
// https://iquilezles.org/articles/distfunctions/ // SRC: https://iquilezles.org/articles/distfunctions/
float sdHorseshoe(in vec3 p, in vec2 c, in float r, in float le, vec2 w) float sdHorseshoe(in vec3 p, in vec2 c, in float r, in float le, vec2 w)
{ {
p.x = abs(p.x); p.x = abs(p.x);
@ -57,11 +58,10 @@ float sdSixWayCutHollowSphere( vec3 p, float r, float h, float t )
float w = sqrt(r*r-h*h); float w = sqrt(r*r-h*h);
return ((h*q.x<w*q.y) ? length(q-vec2(w,h)) : return ((h*q.x<w*q.y) ? length(q-vec2(w,h)) : abs(length(q)-r)) - t;
abs(length(q)-r) ) - t;
} }
// https://iquilezles.org/articles/boxfunctions // SRC: https://iquilezles.org/articles/boxfunctions
vec2 iBox(in vec3 ro, in vec3 rd, in vec3 rad) vec2 iBox(in vec3 ro, in vec3 rd, in vec3 rad)
{ {
vec3 m = 1.0/rd; vec3 m = 1.0/rd;
@ -69,6 +69,7 @@ vec2 iBox( in vec3 ro, in vec3 rd, in vec3 rad )
vec3 k = abs(m)*rad; vec3 k = abs(m)*rad;
vec3 t1 = -n - k; vec3 t1 = -n - k;
vec3 t2 = -n + k; vec3 t2 = -n + k;
return vec2(max(max(t1.x, t1.y), t1.z), return vec2(max(max(t1.x, t1.y), t1.z),
min(min(t2.x, t2.y), t2.z)); min(min(t2.x, t2.y), t2.z));
} }
@ -78,20 +79,23 @@ vec2 opU( vec2 d1, vec2 d2 )
return (d1.x<d2.x) ? d1 : d2; return (d1.x<d2.x) ? d1 : d2;
} }
vec2 map( in vec3 pos ){ vec2 map(in vec3 pos)
{
vec2 res = vec2(sdHorseshoe(pos-vec3(-1.0,0.08, 1.0), vec2(cos(1.3),sin(1.3)), 0.2, 0.3, vec2(0.03,0.5)), 11.5) ; vec2 res = vec2(sdHorseshoe(pos-vec3(-1.0,0.08, 1.0), vec2(cos(1.3),sin(1.3)), 0.2, 0.3, vec2(0.03,0.5)), 11.5) ;
res = opU(res, vec2(sdSixWayCutHollowSphere(pos-vec3(0.0, 1.0, 0.0), 4.0, 3.5, 0.5), 4.5)) ; res = opU(res, vec2(sdSixWayCutHollowSphere(pos-vec3(0.0, 1.0, 0.0), 4.0, 3.5, 0.5), 4.5)) ;
return res; return res;
} }
// https://www.shadertoy.com/view/Xds3zN // SRC: https://www.shadertoy.com/view/Xds3zN
vec2 raycast( in vec3 ro, in vec3 rd ){ vec2 raycast(in vec3 ro, in vec3 rd)
{
vec2 res = vec2(-1.0,-1.0); vec2 res = vec2(-1.0,-1.0);
float tmin = 1.0; float tmin = 1.0;
float tmax = 20.0; float tmax = 20.0;
// raytrace floor plane // Raytrace floor plane
float tp1 = (-ro.y)/rd.y; float tp1 = (-ro.y)/rd.y;
if (tp1>0.0) if (tp1>0.0)
{ {

View file

@ -1,14 +1,12 @@
#version 100 #version 120
precision mediump float;
// Input vertex attributes (from vertex shader) // Input vertex attributes (from vertex shader)
varying vec2 fragTexCoord; varying vec2 fragTexCoord;
varying vec4 fragColor; varying vec4 fragColor;
uniform vec2 c; // c.x = real, c.y = imaginary component. Equation done is z^2 + c uniform vec2 c; // c.x = real, c.y = imaginary component. Equation done is z^2 + c
uniform vec2 offset; // Offset of the scale. uniform vec2 offset; // Offset of the scale
uniform float zoom; // Zoom of the scale. uniform float zoom; // Zoom of the scale
// NOTE: Maximum number of shader for-loop iterations depend on GPU, // NOTE: Maximum number of shader for-loop iterations depend on GPU,
// for example, on RasperryPi for this examply only supports up to 60 // for example, on RasperryPi for this examply only supports up to 60
@ -32,22 +30,22 @@ vec3 Hsv2rgb(vec3 c)
void main() void main()
{ {
/********************************************************************************************** /**********************************************************************************************
Julia sets use a function z^2 + c, where c is a constant. Julia sets use a function z^2 + c, where c is a constant
This function is iterated until the nature of the point is determined. This function is iterated until the nature of the point is determined
If the magnitude of the number becomes greater than 2, then from that point onward If the magnitude of the number becomes greater than 2, then from that point onward
the number will get bigger and bigger, and will never get smaller (tends towards infinity). the number will get bigger and bigger, and will never get smaller (tends towards infinity)
2^2 = 4, 4^2 = 8 and so on. 2^2 = 4, 4^2 = 8 and so on
So at 2 we stop iterating. So at 2 we stop iterating
If the number is below 2, we keep iterating. If the number is below 2, we keep iterating
But when do we stop iterating if the number is always below 2 (it converges)? But when do we stop iterating if the number is always below 2 (it converges)?
That is what maxIterations is for. That is what maxIterations is for
Then we can divide the iterations by the maxIterations value to get a normalized value that we can Then we can divide the iterations by the maxIterations value to get a normalized value
then map to a color. that we can then map to a color
We use dot product (z.x * z.x + z.y * z.y) to determine the magnitude (length) squared. We use dot product (z.x*z.x + z.y*z.y) to determine the magnitude (length) squared
And once the magnitude squared is > 4, then magnitude > 2 is also true (saves computational power). And once the magnitude squared is > 4, then magnitude > 2 is also true (saves computational power)
*************************************************************************************************/ *************************************************************************************************/
// The pixel coordinates are scaled so they are on the mandelbrot scale // The pixel coordinates are scaled so they are on the mandelbrot scale
@ -65,18 +63,18 @@ void main()
iter = iterations; iter = iterations;
} }
// Another few iterations decreases errors in the smoothing calculation. // Another few iterations decreases errors in the smoothing calculation
// See http://linas.org/art-gallery/escape/escape.html for more information. // See http://linas.org/art-gallery/escape/escape.html for more information
z = ComplexSquare(z) + c; z = ComplexSquare(z) + c;
z = ComplexSquare(z) + c; z = ComplexSquare(z) + c;
// This last part smooths the color (again see link above). // This last part smooths the color (again see link above)
float smoothVal = float(iter) + 1.0 - (log(log(length(z)))/log(2.0)); float smoothVal = float(iter) + 1.0 - (log(log(length(z)))/log(2.0));
// Normalize the value so it is between 0 and 1. // Normalize the value so it is between 0 and 1
float norm = smoothVal/float(maxIterations); float norm = smoothVal/float(maxIterations);
// If in set, color black. 0.999 allows for some float accuracy error. // If in set, color black. 0.999 allows for some float accuracy error
if (norm > 0.999) gl_FragColor = vec4(0.0, 0.0, 0.0, 1.0); if (norm > 0.999) gl_FragColor = vec4(0.0, 0.0, 0.0, 1.0);
else gl_FragColor = vec4(Hsv2rgb(vec3(norm*colorCycles, 1.0, 1.0)), 1.0); else gl_FragColor = vec4(Hsv2rgb(vec3(norm*colorCycles, 1.0, 1.0)), 1.0);
} }

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@ -1,6 +1,4 @@
#version 100 #version 120
precision mediump float;
// Input vertex attributes (from vertex shader) // Input vertex attributes (from vertex shader)
varying vec2 fragTexCoord; varying vec2 fragTexCoord;

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@ -34,7 +34,7 @@ uniform vec2 resolution;
// SOFTWARE. // SOFTWARE.
// A list of useful distance function to simple primitives, and an example on how to // A list of useful distance function to simple primitives, and an example on how to
// do some interesting boolean operations, repetition and displacement. // do some interesting boolean operations, repetition and displacement
// //
// More info here: http://www.iquilezles.org/www/articles/distfunctions/distfunctions.htm // More info here: http://www.iquilezles.org/www/articles/distfunctions/distfunctions.htm

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