Finally a happy render result

trees/math-000K.tree

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+\import{ag-macros}
+% clifford hopf spin tt ag math draft
+\tag{math}
+\tag{draft}
+
+% definition theorem lemma construction observation
+% convention corollary axiom example exercise proof
+% discussion remark notation
+% \taxon{}
+% \refcardt{lemma}{}{}{}{
+
+% kostecki2011introduction leinster2016basic nakahira2023diagrammatic rosiak2022sheaf
+
+% cox1997ideals gathmann2013commutative
+
+\note{test implicit surface shader 2}{
+\shader{ }\verb>>>|
+// Adapted from https://lygia.xyz/lighting/raymarch
+
+#define LIGHT_COLOR vec3(1.000,0.794,0.066)
+#define RESOLUTION          iResolution.xy
+#define RAYMARCH_MULTISAMPLE 4
+#define RAYMARCH_BACKGROUND (RAYMARCH_AMBIENT + rayDirection.y * 0.8)
+#define RAYMARCH_AMBIENT    vec3(0.7, 0.9, 1.0)
+// #define RAYMARCH_AMBIENT    vec3(0.374,0.481,0.535)
+
+#include "lygia/space/ratio.glsl"
+#include "lygia/sdf.glsl"
+#include "lygia/lighting/raymarch.glsl"
+#include "lygia/color/space/linear2gamma.glsl"
+
+float checkBoard(vec2 uv, vec2 _scale) {
+    uv = floor(fract(uv * _scale) * 2.0);
+    return min(1.0, uv.x + uv.y) - (uv.x * uv.y);
+}
+
+float myCubeSDF(vec3 p) {
+    float x = p.x;
+    float y = p.y;
+    float z = p.z;
+    float x6 = pow(x, 6.);
+    float y6 = pow(y, 6.);
+    float z6 = pow(z, 6.);
+
+    return x6+y6+z6-1.;
+}
+
+float mySDF2(vec3 p) {
+    float x = p.x;
+    float y = p.y;
+    float z = p.z;
+    float y2 = pow(y, 2.);
+    float z3 = pow(z, 3.);
+    float z4 = pow(z, 4.);
+    float x2 = pow(x, 2.);
+    float z2 = pow(z, 2.);
+    float y3 = pow(y, 3.);
+
+    // return y2+z3-z4-x2*z2;
+
+    // return x2*z2+z4-y2-z3;
+
+    // return -x2+y2*z2+z3;
+
+    // return z2-x2-y2;
+
+    return x2-z2*y2+y3;
+}
+
+Material raymarchMap( in vec3 pos ) {
+    // float check = 0.5 + checkBoard(pos.xz, vec2(1.0, 1.0)) * 0.5;
+    // Material res = materialNew(vec3(check), 0.0, 0.5, planeSDF(pos - vec3(0.0, -2.0, 0.0)));
+
+    // res = opUnion( res, materialNew( vec3(1.0, 2.0, 1.0), myCubeSDF(pos - vec3(0.0, -1.0, 0.0))*0.004 ) );
+
+    // res = opUnion( res, materialNew( vec3(1.0, 2.0, 1.0),opIntersection(0.004 * myCubeSDF(pos), cubeSDF(pos, 1.0))) );
+
+    // res = opUnion(res, materialNew( vec3(1.0, 2.0, 1.0), 0.004 * abs(mySDF2(pos))));
+
+    // res = opUnion(res, materialNew( vec3(1.0, 2.0, 1.0), opIntersection(0.05 * abs(mySDF2(pos)), cubeSDF(pos, 1.0))) );
+
+    Material res = materialNew( vec3(1.0, 2.0, 1.0), opIntersection(0.05 * abs(mySDF2(pos)), cubeSDF(pos, 1.0)));
+
+    // res = opUnion( res, materialNew( vec3(1.0, 1.0, 1.0), 1.0, 0.0, sphereSDF(pos-vec3( 0.0, 2.0, 0.0), 0.5 ) ) );
+    // res = opUnion( res, materialNew( vec3(0.0, 1.0, 1.0), boxSDF(      pos-vec3( 2.0, 0.5, 0.0), vec3(0.4, 0.4, 0.4) ) ) );
+    // res = opUnion( res, materialNew( vec3(0.3, 0.3, 1.0), torusSDF(    pos-vec3( 0.0, 0.5, 2.0), vec2(0.4,0.1) ) ) );
+    // res = opUnion( res, materialNew( vec3(0.3, 0.1, 0.3), capsuleSDF(  pos,vec3(-2.3, 0.4,-0.2), vec3(-1.6,0.75,0.2), 0.2 ) ) );
+    // res = opUnion( res, materialNew( vec3(0.5, 0.3, 0.4), triPrismSDF( pos-vec3(-2.0, 0.50,-2.0), vec2(0.5,0.1) ) ) );
+    // res = opUnion( res, materialNew( vec3(0.2, 0.2, 0.8), cylinderSDF( pos-vec3( 2.0, 0.50,-2.0), vec2(0.2,0.4) ) ) );
+    // res = opUnion( res, materialNew( vec3(0.7, 0.5, 0.2), coneSDF(     pos-vec3( 0.0, 0.75,-2.0), vec3(0.8,0.6,0.6) ) ) );
+    // res = opUnion( res, materialNew( vec3(0.4, 0.2, 0.9), hexPrismSDF( pos-vec3(-2.0, 0.60, 2.0), vec2(0.5,0.1) ) ) );
+    // res = opUnion( res, materialNew( vec3(0.1, 0.3, 0.6), pyramidSDF(  pos-vec3( 2.0, 0.10, 2.0), 1.0 ) ) );;
+    return res;
+}
+
+void mainImage( out vec4 fragColor, in vec2 fragCoord )
+{
+    vec2 u_resolution = iResolution.xy;
+    vec2 u_mouse = iMouse.xy;
+    float u_time = iTime;
+
+    vec3 color = vec3(0.0);
+    vec2 pixel = 1.0/u_resolution;
+    vec2 st = fragCoord.xy * pixel;
+    vec2 uv = ratio(st, u_resolution);
+
+    vec2 mo = u_mouse * pixel;
+    float time = 32.0 + u_time * 1.5;
+    // vec3 cam = vec3( 12.5*cos(0.1*time), 2.2, 12.5*sin(0.1*time) );
+    vec3 cam = vec3( 8.5*cos(0.1*time - 7.0*mo.x), 2.2, 8.5*sin(0.1*time - 7.0*mo.x) );
+
+    color = raymarch(cam, vec3(0.0), uv).rgb;
+    color = linear2gamma(color);
+
+    fragColor = vec4( color, 1.0 );
+}
+
+>>>
+}