# 平行投影カメラと繰り返し

See the Pen repetition with orthographic camera by aadebdeb (@aadebdeb) on CodePen.

```#define PI 3.14159265359
#define TWO_PI PI * 2.0
#define HALF_PI PI / 2.0

precision mediump float;

uniform float u_time;
uniform vec2 u_mouse;
uniform vec2 u_resolution;

vec3 repeat(vec3 p, vec3 interval) {
return mod(p, interval) - interval / 2.0;
}

vec3 rotateX(vec3 p, float theta) {
float c = cos(-theta);
float s = sin(-theta);

mat3 m = mat3(vec3(1, 0.0, 0.0),
vec3(0.0, c, -s),
vec3(0.0, s, c));
return m * p;
}

vec3 rotateY(vec3 p, float theta) {
float c = cos(-theta);
float s = sin(-theta);

mat3 m = mat3(vec3(c, 0.0, s),
vec3(0.0, 1.0, 0.0),
vec3(-s, 0.0, c));
return m * p;
}

vec3 rotateZ(vec3 p, float theta) {
float c = cos(-theta);
float s = sin(-theta);

mat3 m = mat3(vec3(c, -s, 0.0),
vec3(s, c, 0.0),
vec3(0.0, 0.0, 1.0));
return m * p;
}

vec3 translate(vec3 p, vec3 t) {
mat4 m = mat4(vec4(1.0, 0.0, 0.0, 0.0),
vec4(0.0, 1.0, 0.0, 0.0),
vec4(0.0, 0.0, 1.0, 0.0),
vec4(-t.x, -t.y, -t.z, 1.0));

return (m * vec4(p, 1.0)).xyz;
}

float calcBoxDistance(vec3 p, vec3 size) {
return length(max(abs(p) - size, 0.0));
}

float calcSphereDistance(vec3 p, float size) {
return length(p) - size;
}

float calcDistance(vec3 p) {
vec3 q = repeat(p, vec3(4.0));
return calcSphereDistance(q, 1.0);
}

vec3 calcNormal(vec3 p) {
float delta = 0.00001;
return normalize(vec3(
calcDistance(p + vec3(delta, 0.0, 0.0)) - calcDistance(p - vec3(delta, 0.0, 0.0)),
calcDistance(p + vec3(0.0, delta, 0.0)) - calcDistance(p - vec3(0.0, delta, 0.0)),
calcDistance(p + vec3(0.0, 0.0, delta)) - calcDistance(p - vec3(0.0, 0.0, delta))
));
}

void main(void) {
vec2 st = (gl_FragCoord.xy * 2.0 - u_resolution) / min(u_resolution.x, u_resolution.y);
vec2 mouse = (u_mouse * 2.0 - u_resolution) / min(u_resolution.x, u_resolution.y);

vec3 cameraPosition = vec3(0.0, 0.0, 0.0);
vec3 viewCenter = cameraPosition + vec3(cos(mouse.x * PI), sin(mouse.y * HALF_PI), sin(mouse.x * PI));
vec3 viewDirection = normalize(viewCenter - cameraPosition);

vec3 cameraTop = vec3(0.0, 1.0, 0.0);
vec3 cameraSide = cross(viewDirection, cameraTop);
vec3 rayDirection = viewDirection;

float viewWidth = 50.0;
float viewHeight = 50.0;

vec3 rayPosition = cameraPosition + vec3(cameraTop * st.y * viewHeight / 2.0 + cameraSide * st.x * viewWidth / 2.0);
float radian = u_time * 0.0003;
vec3 lightPosition = vec3(5.0, 5.0, 5.0);
vec3 color = vec3(0.0);
float d;
for (int i = 0; i < 256; i++) {
d = calcDistance(rayPosition);
rayPosition += rayDirection * d;
}

if (d < 0.0001) {
vec3 normal = calcNormal(rayPosition);
float weight = dot(normal, normalize(lightPosition));
color = vec3(1.0) * max(weight, 0.0) + vec3(0.1);
}

gl_FragColor = vec4(color, 1.0);
}```