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Zoom level up to $10^{34}$! +* **Customizable**: Use the sidebar sliders to adjust the **Exponent** (create "Multibrots") and morph the set with **Julia** offsets ($C_{real}$, $C_{imag}$). +* **Fractal Explorer**: Standard fractal shaders included. + +### 🧪 Physics & Simulations +* **Fluid Dynamics**: Real-time interactive fluid simulation (mouse drag to swirl). +* **Reaction Diffusion**: "Living" texture simulation (Gray-Scott model). +* **Double Pendulum**: Chaotic physics visualization. + +### 🎨 Visuals +* **Plasma & Tunnel**: Classic demoscene effects. +* **Sidebar UI**: Custom immediate-mode GUI with embedded font rendering. + +## Controls +* **Left Click**: Select shader from sidebar. +* **Scroll**: Zoom (Mandelbrot). +* **Drag (Left Click)**: Pan view / Interact with Fluid / Adjust Sliders. + +## Build & Run +```bash +make +./shader-demo +``` + +## Dependencies +* Wayland Client & EGL +* GLESv2 +* libxkbcommon diff --git a/main.cpp b/main.cpp index bf2e827..198c892 100644 --- a/main.cpp +++ b/main.cpp @@ -131,12 +131,77 @@ float m_c_imag = 0.0f; std::vector mandel_sliders = { {"Exp", &m_exponent, 1.0f, 10.0f, false}, - {"Zr", &m_z_real, -1.0f, 1.0f, false}, - {"Zi", &m_z_imag, -1.0f, 1.0f, false}, - {"Cr", &m_c_real, -1.0f, 1.0f, false}, - {"Ci", &m_c_imag, -1.0f, 1.0f, false} + // {"Zr", &m_z_real, -1.0f, 1.0f, false}, // Removing these to save space/simplify logic for Perturbation + // {"Zi", &m_z_imag, -1.0f, 1.0f, false}, + {"Cr", &m_c_real, -0.1f, 0.1f, false}, // Detail C offset + {"Ci", &m_c_imag, -0.1f, 0.1f, false} }; +// --- Deep Zoom (Perturbation) State --- +// Using __float128 (Quad Precision) if available (GCC/Clang usually have it). +// This gives ~34 decimal digits ($10^34$ zoom). +// For true "Infinite", we'd need GMP or a custom BigFloat array class. +// For this demo, __float128 is a massive upgrade over double ($10^15$) and is much faster/safer to implement here. +typedef __float128 DeepFloat; + +DeepFloat center_r = -0.5; +DeepFloat center_i = 0.0; +DeepFloat zoom_deep = 1.0; + +// Reference Orbit Data (uploaded to texture) +const int MAX_REF_ITER = 1024; // Texture width +std::vector ref_orbit_data(MAX_REF_ITER * 4); // RGBA per step +GLuint ref_orbit_texture = 0; + +void calc_reference_orbit() { + DeepFloat zr = 0.0; + DeepFloat zi = 0.0; + DeepFloat cr = center_r; + DeepFloat ci = center_i; + + // Upload Z0 + ref_orbit_data[0] = (float)zr; + ref_orbit_data[1] = (float)zi; + ref_orbit_data[2] = 0.0f; + ref_orbit_data[3] = 1.0f; + + for (int i = 1; i < MAX_REF_ITER; i++) { + DeepFloat zr2 = zr * zr; + DeepFloat zi2 = zi * zi; + DeepFloat two_zr_zi = 2.0 * zr * zi; + + zr = zr2 - zi2 + cr; + zi = two_zr_zi + ci; + + // Encoding for GPU (Safety against 0..1 clamping) + // Range [-4, 4] -> [0, 1] + float r_encoded = ((float)zr + 4.0f) / 8.0f; + float i_encoded = ((float)zi + 4.0f) / 8.0f; + + ref_orbit_data[i * 4 + 0] = r_encoded; + ref_orbit_data[i * 4 + 1] = i_encoded; + ref_orbit_data[i * 4 + 2] = 0.0f; + ref_orbit_data[i * 4 + 3] = 1.0f; + + if ((zr2 + zi2) > 4.0) { + // Continue filling + } + } + + // Upload to Texture + if (ref_orbit_texture == 0) { + glGenTextures(1, &ref_orbit_texture); + glBindTexture(GL_TEXTURE_2D, ref_orbit_texture); + glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_NEAREST); + glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_NEAREST); + glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_S, GL_CLAMP_TO_EDGE); + glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_T, GL_CLAMP_TO_EDGE); + } + + glBindTexture(GL_TEXTURE_2D, ref_orbit_texture); + glTexImage2D(GL_TEXTURE_2D, 0, GL_RGBA, MAX_REF_ITER, 1, 0, GL_RGBA, GL_FLOAT, ref_orbit_data.data()); +} + // Forward declarations void render_frame(); GLuint load_shader_src(const char *source, GLenum type); @@ -339,16 +404,7 @@ float view_x = -0.5f; float view_y = 0.0f; bool is_dragging = false; -static void pointer_handle_axis(void *data, struct wl_pointer *wl_pointer, uint32_t time, uint32_t axis, wl_fixed_t value) { - if (cursor_x > SIDEBAR_WIDTH) { // Only zoom in main area - double val = wl_fixed_to_double(value); - if (val < 0) { - zoom_level *= 1.1f; - } else if (val > 0) { - zoom_level /= 1.1f; - } - } -} + static void pointer_handle_motion(void *data, struct wl_pointer *wl_pointer, uint32_t time, wl_fixed_t sx, wl_fixed_t sy) { double old_x = cursor_x; @@ -358,27 +414,38 @@ static void pointer_handle_motion(void *data, struct wl_pointer *wl_pointer, uin // Slider Logic if (shaders[current_shader_index].name == "MANDEL") { - for (auto& s : mandel_sliders) { + for (auto& s : mandel_sliders) { if (s.is_dragging) { - // Calculate new value based on X position relative to sidebar - // Lets say slider width is SIDEBAR_WIDTH - 20 float track_x = 10; float track_w = SIDEBAR_WIDTH - 20; float normalized = (float)(cursor_x - track_x) / track_w; if (normalized < 0.0f) normalized = 0.0f; if (normalized > 1.0f) normalized = 1.0f; - *s.value_ptr = s.min_val + normalized * (s.max_val - s.min_val); - return; // Consume input + return; } } } if (is_dragging) { - float dx = (cursor_x - old_x) / height; - float dy = (cursor_y - old_y) / height; - view_x -= dx / zoom_level * 2.0; - view_y += dy / zoom_level * 2.0; + if (shaders[current_shader_index].name == "MANDEL") { + // Deep Pan + double dx = (cursor_x - old_x) / height; + double dy = (cursor_y - old_y) / height; + + // Adjust Center (Deep Float) + // Zoom is zoom_deep + DeepFloat scale = 1.0 / zoom_deep; + center_r -= (DeepFloat)dx * scale * 2.0; + center_i += (DeepFloat)dy * scale * 2.0; + + } else { + // Normal Pan + float dx = (cursor_x - old_x) / height; + float dy = (cursor_y - old_y) / height; + view_x -= dx / zoom_level * 2.0; + view_y += dy / zoom_level * 2.0; + } } } @@ -386,27 +453,23 @@ static void pointer_handle_button(void *data, struct wl_pointer *wl_pointer, uin if (button == 0x110) { // Left click if (state == WL_POINTER_BUTTON_STATE_PRESSED) { if (cursor_x < SIDEBAR_WIDTH) { - // Check Sliders first if Mandelbrot - bool hit_slider = false; + // Check Sliders + bool hit_slider = false; if (shaders[current_shader_index].name == "MANDEL") { - // We need to know where they are drawn. - // Let's assume they are drawn starting at y = 500 (bottom of sidebar?) - // Or right after the buttons? - // We have 7 buttons. 7 * 70 = 490px. float sy = 490 + 20; for (auto& s : mandel_sliders) { if (cursor_y >= sy && cursor_y < sy + 20) { s.is_dragging = true; hit_slider = true; } - sy += 30; // 20 height + 10 margin + sy += 30; } } - + if (!hit_slider) { int clicked_index = -1; for (size_t i = 0; i < shaders.size(); ++i) { - int y_start = BUTTON_MARGIN + i * (BUTTON_HEIGHT + BUTTON_MARGIN); + int y_start = BUTTON_MARGIN + i * (BUTTON_HEIGHT + BUTTON_MARGIN); int y_end = y_start + BUTTON_HEIGHT; if (cursor_y >= y_start && cursor_y <= y_end && cursor_x >= BUTTON_MARGIN && cursor_x <= SIDEBAR_WIDTH - BUTTON_MARGIN) { clicked_index = i; @@ -415,11 +478,13 @@ static void pointer_handle_button(void *data, struct wl_pointer *wl_pointer, uin } if (clicked_index != -1) { current_shader_index = clicked_index; - // Reset slider drag states just in case for (auto& s : mandel_sliders) s.is_dragging = false; if (shaders[current_shader_index].name == "MANDEL") { - // Keep zoom? Yes. + // Reset Deep State + center_r = -0.5; + center_i = 0.0; + zoom_deep = 1.0; } } } @@ -428,7 +493,27 @@ static void pointer_handle_button(void *data, struct wl_pointer *wl_pointer, uin } } else { is_dragging = false; - for (auto& s : mandel_sliders) s.is_dragging = false; // Release sliders + for (auto& s : mandel_sliders) s.is_dragging = false; + } + } +} + +static void pointer_handle_axis(void *data, struct wl_pointer *wl_pointer, uint32_t time, uint32_t axis, wl_fixed_t value) { + if (cursor_x > SIDEBAR_WIDTH) { // Only zoom in main area + double val = wl_fixed_to_double(value); + if (shaders[current_shader_index].name == "MANDEL") { + // Deep Zoom + if (val < 0) { + zoom_deep *= 1.1; + } else if (val > 0) { + zoom_deep /= 1.1; + } + } else { + if (val < 0) { + zoom_level *= 1.1f; + } else if (val > 0) { + zoom_level /= 1.1f; + } } } } @@ -602,7 +687,41 @@ void render_frame() { if (zoomLoc != -1) glUniform1f(zoomLoc, zoom_level); GLint centerLoc = glGetUniformLocation(active.program, "u_center"); - if (centerLoc != -1) glUniform2f(centerLoc, view_x, view_y); + if (centerLoc != -1) { + if (active.name == "MANDEL") { + // Pass Deep Orbit Texture + calc_reference_orbit(); + + glActiveTexture(GL_TEXTURE1); + glBindTexture(GL_TEXTURE_2D, ref_orbit_texture); + GLint refLoc = glGetUniformLocation(active.program, "u_ref_orbit"); + if (refLoc != -1) glUniform1i(refLoc, 1); // Unit 1 + + // Pass Zoom and Center? + // We actually don't need Center if we are doing Delta? + // We need Delta C for the pixel. + // Wait, standard Delta approach: + // dc = (uv) / zoom + // z = 0 + 0 (if starting at 0) + // But u_ref_orbit contains the center's orbit. + + // We still need to pass zoom. + glUniform1f(zoomLoc, (float)zoom_deep); + // Center is implicit 0,0 relative to reference? + // No, we still want to visualize. + + // Actually, for Delta Shader: + // C_pixel = C_ref + DeltaC + // C_ref is used on CPU. + // DeltaC = (FragCoord - CenterScreen) * PixelScale + + // So we assume u_center is 0,0 in the shader logic because we are tracking C_ref on CPU. + glUniform2f(centerLoc, 0.0f, 0.0f); + + } else { + glUniform2f(centerLoc, view_x, view_y); + } + } // Mandelbrot Params GLint expLoc = glGetUniformLocation(active.program, "u_exponent"); diff --git a/main.o b/main.o index 7d82ad447354b485dd616ffe9b10077917c7030a..934f3aeb9a994ff6d05eea2d41d30444a33af970 100644 GIT binary patch literal 393864 zcmeEv30RHW_wZ>n#VImR2T6n?rMOf$oG3DsObt>*15IX?Q*j(8kqEhRO_?*43{j@a zm?1JHgi^>HqHnGJ?)N?CG~Dan`}_UB?|YuV$9vY=^V(~#z4qE`@AoZ4XggF@MTN)y zQ{fHd$wO=`kC)}C!3C@cX2tVU^;N~ZkKjR=PvK(<3n+X-;ZuOmC|(HgImKT9d`a;l zfW;JlMPUhruK~WH_*;Nw6n_WsJ;gr&{7CW70KZVY9N<@qe*^fP;y(daQXD&h{XlkL z#}HS8A9adr0Mw*-9e{NyUJqb>iZ=kLMe&9J8&RAOP@Cd902@=h2|!(nHwD;?;>`iJ zpml0J1=x<_?EwlX-T`1oigyC2NAb=8^(o#3paI3Z0_;X{Lx9~W-UDDy ziW>nmrg$%ay(w-2un)yeDKrDvm*VCCEhyd(V1J7L25W#TNoxMDfKGE}<|4U?|1I04}At7+^TXBLGHHd>O#y z6qiuAfymfbkUH4Dfe~ 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z_Nn0GZi=Q;dAr_k>tA_HyXxmREkV6D+xqF(%6oA^?{D{8eOdebAG-e5KYsp4w1_PNI%q@Q-beO?mXZ}o=l^X0ZN z1@}KEy5I8I+vgrS_}<@6@0u>DoCD3p*3a@@TAhtO(eroGP2L}+_r`yf_&x3Z7=KV- z`m;}hPrH_1`B4>xBZd4cw!r^(}?f? zHwE|4{3p5pft&Tlg8T2$`{VWd&(D?}c?%W#_5SReeXbYW|H>6PsrNF z5q$ZNeYv0NJo|rkpS98V2t@d&cfL&SKc5&B{5=={AHx4OoY9}}Lz}@KF5Tbz-YxgP c@)p;`7xD8cFKOQWQ~zD=e^Ycr^tJN;1OCFrQ2+n{ diff --git a/shaders/mandelbrot.frag b/shaders/mandelbrot.frag index 28474d4..f0b3593 100644 --- a/shaders/mandelbrot.frag +++ b/shaders/mandelbrot.frag @@ -4,67 +4,71 @@ precision highp float; uniform float u_time; uniform vec2 u_resolution; uniform float u_zoom; -uniform vec2 u_center; +uniform vec2 u_center; // Unused if using perturbation? + +uniform sampler2D u_ref_orbit; // Stores Reference Z (Real=Luminance, Imag=Alpha) // Sliders -uniform float u_exponent; +uniform float u_exponent; // Perturbation usually assumes Z^2. uniform vec2 u_z_start; uniform vec2 u_c_offset; -void main() { - // Current pixel coordinate in 0..1 - vec2 st = gl_FragCoord.xy / u_resolution.xy; - st.x *= u_resolution.x / u_resolution.y; // Aspect ratio correction - - // Center the coords: - vec2 c_uv = (gl_FragCoord.xy - u_resolution.xy * 0.5) / u_resolution.y; - - // Apply Zoom and Pan - vec2 c = (c_uv / u_zoom) + u_center; - - // Apply C Offset from sliders (allows Julia-like effects) - c += u_c_offset; +// Complex Math helpers +vec2 complex_mul(vec2 a, vec2 b) { + return vec2(a.x*b.x - a.y*b.y, a.x*b.y + a.y*b.x); +} - // Initial Z - vec2 z = u_z_start; +vec2 complex_sq(vec2 a) { + return vec2(a.x*a.x - a.y*a.y, 2.0*a.x*a.y); +} + +void main() { + // Current pixel coordinate relative to screen center + vec2 p = (gl_FragCoord.xy - u_resolution.xy * 0.5) / u_resolution.y; + + // Delta C (Difference from Reference Point) + vec2 dc = p / u_zoom; + + // Apply C Offset from sliders (as Delta C) + dc += u_c_offset; + + // Initial Delta Z + vec2 dz = vec2(0.0); float iter = 0.0; - float max_iter = 100.0 + log(u_zoom) * 20.0; + float max_iter = 1000.0; - for (float i = 0.0; i < 500.0; i++) { - if (i > max_iter) break; + for (float i = 0.0; i < 1000.0; i++) { + // Fetch Reference Z from Texture + vec4 ref = texture2D(u_ref_orbit, vec2((i + 0.5) / 1024.0, 0.5)); - // Generalized Z^n - // Convert to Polar: r, theta - float r = length(z); - float theta = atan(z.y, z.x); + // Decode Range [0, 1] -> [-4, 4] + // Z = Val * 8 - 4 + // Use R and G channels (was R and A) + vec2 Zn = vec2(ref.r * 8.0 - 4.0, ref.g * 8.0 - 4.0); - // Z^n = r^n * (cos(n*theta) + i*sin(n*theta)) - float rn = pow(r, u_exponent); - float nt = theta * u_exponent; + // dz = 2*Zn*dz + dz^2 + dc + vec2 two_Zn_dz = complex_mul(2.0 * Zn, dz); + vec2 dz_sq = complex_sq(dz); - float x = rn * cos(nt) + c.x; - float y = rn * sin(nt) + c.y; + dz = two_Zn_dz + dz_sq + dc; // Perturbation formula - if ((x * x + y * y) > 4.0) { + // Check Escape: |Zn + dz|^2 > 4 + vec2 current_z = Zn + dz; + if (dot(current_z, current_z) > 4.0) { iter = i; break; } - z.x = x; - z.y = y; } // Coloring float t = iter / max_iter; - if (iter == 0.0) { + + // Standard Black Interior + if (iter >= 999.0) { gl_FragColor = vec4(0.0, 0.0, 0.0, 1.0); } else { - // More colorful palette - gl_FragColor = vec4( - 0.5 + 0.5 * cos(3.0 + t * 10.0 + u_time), - 0.5 + 0.5 * cos(3.0 + t * 10.0 + 2.0), - 0.5 + 0.5 * cos(3.0 + t * 10.0 + 4.0), - 1.0 - ); + // Original "Generic" Palette + gl_FragColor = vec4(sqrt(t), t*t, sin(t * 3.14), 1.0); } }