Cubic Beziers and more SVG stuff

Cubic Beziers!
Actually transform the coordinates properly!

Sort of maybe kind of render shape.svg correctly*

* Shading and stroke width will be available in the premium edition, order today for $99.99

diff --git a/src/bezier.h b/src/bezier.h
index 3a8e80d..0e9217f 100644 (file)
--- a/src/bezier.h
+++ b/src/bezier.h
@@ -9,21 +9,25 @@ namespace IPDF
        extern int BinomialCoeff(int n, int k);
        extern Real Bernstein(int k, int n, const Real & u);
 
-       /** A _quadratic_ bezier. **/
+       /** A _cubic_ bezier. **/
        struct Bezier
        {
                Real x0; Real y0;
                Real x1; Real y1;
                Real x2; Real y2;
+               Real x3; Real y3;
                Bezier() = default; // Needed so we can fread/fwrite this struct... for now.
-               Bezier(Real _x0, Real _y0, Real _x1, Real _y1, Real _x2, Real _y2) : x0(_x0), y0(_y0), x1(_x1), y1(_y1), x2(_x2), y2(_y2) {}
+               Bezier(Real _x0, Real _y0, Real _x1, Real _y1, Real _x2, Real _y2, Real _x3, Real _y3) : x0(_x0), y0(_y0), x1(_x1), y1(_y1), x2(_x2), y2(_y2), x3(_x3), y3(_y3) {}
+               
+               Bezier(Real _x0, Real _y0, Real _x1, Real _y1, Real _x2, Real _y2) : x0(_x0), y0(_y0), x1(_x1), y1(_y1), x2(_x2), y2(_y2), x3(_x2), y3(_y2) {}
+               
                std::string Str() const
                {
                        std::stringstream s;
-                       s << "Bezier{" << Float(x0) << "," << Float(y0) << " -> " << Float(x1) << "," << Float(y1) << " -> " << Float(x2) << "," << Float(y2) << "}";
+                       s << "Bezier{" << Float(x0) << "," << Float(y0) << " -> " << Float(x1) << "," << Float(y1) << " -> " << Float(x2) << "," << Float(y2) << " -> " << Float(x3) << "," << Float(y3) << "}";
                        return s.str();
                }
-               Bezier(const Bezier & cpy, const Rect & t = Rect(0,0,1,1)) : x0(cpy.x0), y0(cpy.y0), x1(cpy.x1), y1(cpy.y1), x2(cpy.x2),y2(cpy.y2)
+               Bezier(const Bezier & cpy, const Rect & t = Rect(0,0,1,1)) : x0(cpy.x0), y0(cpy.y0), x1(cpy.x1), y1(cpy.y1), x2(cpy.x2),y2(cpy.y2), x3(cpy.x3), y3(cpy.y3)
                {
                        x0 *= t.w;
                        y0 *= t.h;
@@ -31,24 +35,28 @@ namespace IPDF
                        y1 *= t.h;
                        x2 *= t.w;
                        y2 *= t.h;
+                       x3 *= t.w;
+                       y3 *= t.h;
                        x0 += t.x;
                        y0 += t.y;
                        x1 += t.x;
                        y1 += t.y;
                        x2 += t.x;
                        y2 += t.y;
+                       x3 += t.x;
+                       y3 += t.y;
                }
 
-               Rect ToRect() {return Rect(x0,y0,x2-x0,y2-y0);}
+               Rect ToRect() {return Rect(x0,y0,x3-x0,y3-y0);}
 
                /** Evaluate the Bezier at parametric parameter u, puts resultant point in (x,y) **/
                void Evaluate(Real & x, Real & y, const Real & u)
                {
-                       Real coeff[3];
-                       for (unsigned i = 0; i < 3; ++i)
-                               coeff[i] = Bernstein(i,2,u);
-                       x = x0*coeff[0] + x1*coeff[1] + x2*coeff[2];
-                       y = y0*coeff[0] + y1*coeff[1] + y2*coeff[2];
+                       Real coeff[4];
+                       for (unsigned i = 0; i < 4; ++i)
+                               coeff[i] = Bernstein(i,3,u);
+                       x = x0*coeff[0] + x1*coeff[1] + x2*coeff[2] + x3*coeff[3];
+                       y = y0*coeff[0] + y1*coeff[1] + y2*coeff[2] + y3*coeff[3];
                }
 
        };

diff --git a/src/document.cpp b/src/document.cpp
index 7c49074..892f77a 100644 (file)
--- a/src/document.cpp
+++ b/src/document.cpp
@@ -225,6 +225,9 @@ bool Document::operator==(const Document & equ) const
 #include "../contrib/pugixml-1.4/src/pugixml.hpp"
 #include "../contrib/pugixml-1.4/src/pugixml.cpp"
 
+/**
+ * Load an SVG into a rectangle
+ */
 void Document::LoadSVG(const string & filename, const Rect & bounds)
 {
        using namespace pugi;
@@ -306,7 +309,7 @@ static string & GetToken(const string & d, string & token, unsigned & i)
        
        while (i < d.size())
        {
-               if (d[i] == ',' || isalpha(d[i]) || iswspace(d[i]))
+               if (d[i] == ',' || (isalpha(d[i]) && d[i] != 'e') || iswspace(d[i]))
                {
                        if (token.size() == 0 && !iswspace(d[i]))
                        {
@@ -325,17 +328,20 @@ static string & GetToken(const string & d, string & token, unsigned & i)
 // Seriously this isn't really very DOM-like at all is it?
 void Document::AddPathFromString(const string & d, const Rect & bounds)
 {
-       Real x[3] = {0,0,0};
-       Real y[3] = {0,0,0};
+       Real x[4] = {0,0,0,0};
+       Real y[4] = {0,0,0,0};
        
        string token("");
        string command("m");
        
+       Real x0(0);
+       Real y0(0);
+       
        unsigned i = 0;
        unsigned prev_i = 0;
-       Real x0;
-       Real y0;
-       bool started = false;
+       
+       bool start = false;
+       
        while (i < d.size() && GetToken(d, token, i).size() > 0)
        {
                if (isalpha(token[0]))
@@ -344,87 +350,111 @@ void Document::AddPathFromString(const string & d, const Rect & bounds)
                {
                        i = prev_i; // hax
                        if(command == "")
-                               command = "l";
+                               command = "L";
                }
+               
+               bool relative = islower(command[0]);
                        
-               if (command == "m")
+               if (command == "m" || command == "M")
                {
                        Debug("Construct moveto command");
-                       x[0] = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.w;
+                       Real dx = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.w;
                        assert(GetToken(d,token,i) == ",");
-                       y[0] = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.h;
-                       if (!started)
-                       {
-                               x0 = x[0];
-                               y0 = y[0];
-                               started = true;
-                       }
+                       Real dy = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.h;
+                       
+                       x[0] = (relative) ? x[0] + dx : dx;
+                       y[0] = (relative) ? y[0] + dy : dy;
+                       
+
+                       
                        Debug("mmoveto %f,%f", Float(x[0]),Float(y[0]));
-                       command = "l";
+                       command = (command == "m") ? "l" : "L";
                }
-               else if (command == "c")
+               else if (command == "c" || command == "C" || command == "q" || command == "Q")
                {
                        Debug("Construct curveto command");
-                       x[0] = strtod(GetToken(d,token,i).c_str(),NULL)/bounds.w;
+                       Real dx = strtod(GetToken(d,token,i).c_str(),NULL)/bounds.w;
                        assert(GetToken(d,token,i) == ",");
-                       y[0] = strtod(GetToken(d,token,i).c_str(),NULL)/bounds.h;
+                       Real dy = strtod(GetToken(d,token,i).c_str(),NULL)/bounds.h;
                        
-                       x[1] = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.w;
-                       assert(GetToken(d,token,i) == ",");
-                       y[1] = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.h;
+                       x[1] = (relative) ? x[0] + dx : dx;
+                       y[1] = (relative) ? y[0] + dy : dy;
                        
-                       x[2] = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.w;
+                       dx = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.w;
                        assert(GetToken(d,token,i) == ",");
-                       y[2] = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.h;
+                       dy = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.h;
                        
-                       unsigned index = AddBezierData(Bezier(x[0],y[0],x[1],y[1],x[2],y[2]));
-                       Add(BEZIER,bounds,index);
+                       x[2] = (relative) ? x[0] + dx : dx;
+                       y[2] = (relative) ? y[0] + dy : dy;
                        
+                       if (command != "q" && command != "Q")
+                       {
+                               dx = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.w;
+                               assert(GetToken(d,token,i) == ",");
+                               dy = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.h;
+                               x[3] = (relative) ? x[0] + dx : dx;
+                               y[3] = (relative) ? y[0] + dy : dy;
+                       }
+                       else
+                       {
+                               x[3] = x[2];
+                               y[3] = y[2];
+                       }
                        
-                       Debug("[%u] curveto %f,%f %f,%f %f,%f", index, Float(x[0]),Float(y[0]),Float(x[1]),Float(y[1]),Float(x[2]),Float(y[2]));
+                       unsigned index = AddBezierData(Bezier(x[0],y[0],x[1],y[1],x[2],y[2],x[3],y[3]));
+                       Add(BEZIER,Rect(0,0,1,1),index);
                        
-                       x[0] = x[2];
-                       y[0] = y[2];
+                       
+                       Debug("[%u] curveto %f,%f %f,%f %f,%f", index, Float(x[1]),Float(y[1]),Float(x[2]),Float(y[2]),Float(x[3]),Float(y[3]));
+                       
+                       x[0] = x[3];
+                       y[0] = y[3];
 
                        
                }
-               else if (command == "l")
+               else if (command == "l" || command == "L")
                {
                        Debug("Construct lineto command");
                
-                       x[1] = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.w;
+                       Real dx = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.w;
                        assert(GetToken(d,token,i) == ",");
-                       y[1] = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.h;
+                       Real dy = strtod(GetToken(d,token,i).c_str(),NULL) / bounds.h;
+                       
+                       x[1] = (relative) ? x0 + dx : dx;
+                       y[1] = (relative) ? y0 + dy : dy;
                        
                        x[2] = x[1];
                        y[2] = y[1];
-
-                       Rect segment_bounds(x[0], y[0], x[2] - x[0], y[2] - y[0]);
                        
-                       unsigned index = AddBezierData(Bezier(x[0],y[0],x[1],y[1],x[2],y[2]));
-                       Add(BEZIER,bounds,index);
+                       x[3] = x[1];
+                       y[3] = y[1];
+
+                       unsigned index = AddBezierData(Bezier(x[0],y[0],x[1],y[1],x[2],y[2],x[3],y[3]));
+                       Add(BEZIER,Rect(0,0,1,1),index);
                        
                        Debug("[%u] lineto %f,%f %f,%f", index, Float(x[0]),Float(y[0]),Float(x[1]),Float(y[1]));
                        
-                       x[0] = x[2];
-                       y[0] = y[2];
+                       x[0] = x[3];
+                       y[0] = y[3];
 
                }
-               else if (command == "z")
+               else if (command == "z" || command == "Z")
                {
                        Debug("Construct returnto command");
                        x[1] = x0;
                        y[1] = y0;
                        x[2] = x0;
                        y[2] = y0;
+                       x[3] = x0;
+                       y[3] = y0;
                        
-                       unsigned index = AddBezierData(Bezier(x[0],y[0],x[1],y[1],x[2],y[2]));
-                       Add(BEZIER,bounds,index);
+                       unsigned index = AddBezierData(Bezier(x[0],y[0],x[1],y[1],x[2],y[2],x[3],y[3]));
+                       Add(BEZIER,Rect(0,0,1,1),index);
                        
                        Debug("[%u] returnto %f,%f %f,%f", index, Float(x[0]),Float(y[0]),Float(x[1]),Float(y[1]));
                        
-                       x[0] = x[2];
-                       y[0] = y[2];
+                       x[0] = x[3];
+                       y[0] = y[3];
                        command = "m";
                }
                else
@@ -432,6 +462,13 @@ void Document::AddPathFromString(const string & d, const Rect & bounds)
                        Warn("Unrecognised command \"%s\", set to \"m\"", command.c_str());
                        command = "m";
                }
+               
+               if (!start)
+               {
+                       x0 = x[0];
+                       y0 = y[0];
+                       start = true;
+               }
                prev_i = i;
        }
 }

diff --git a/src/objectrenderer.cpp b/src/objectrenderer.cpp
index d23cd98..cb96c30 100644 (file)
--- a/src/objectrenderer.cpp
+++ b/src/objectrenderer.cpp
@@ -241,15 +241,12 @@ void BezierRenderer::RenderUsingCPU(const Objects & objects, const View & view,
                
                Real x[2]; Real y[2];
                control.Evaluate(x[0], y[0], Real(0));
-               Debug("target is (%lu, %lu)", target.w, target.h);
-               int64_t blen = 1;
-               if ((control.x1 != control.x2 || control.y1 != control.y2)
-                       && (control.x1 != control.x0 || control.y1 != control.y0))
-               {
-                       blen = min(max((int64_t)2, (int64_t)(target.w/view.GetBounds().w)), (int64_t)100);
-               }
+               //Debug("target is (%lu, %lu)", target.w, target.h);
+               int64_t blen = 100;
+               //blen = min(max((int64_t)2, (int64_t)(target.w/view.GetBounds().w)), (int64_t)100);
+               
                Real invblen(1); invblen /= blen;
-               Debug("Using %li lines, inverse %f", blen, Double(invblen));
+               //Debug("Using %li lines, inverse %f", blen, Double(invblen));
                for (int64_t j = 1; j <= blen; ++j)
                {
                        control.Evaluate(x[j % 2],y[j % 2], invblen*j);
@@ -288,7 +285,8 @@ void BezierRenderer::PrepareBezierGPUBuffer(const Objects& objects)
                GPUBezierCoeffs coeffs = {
                        Float(bez->x0), Float(bez->y0),
                        Float(bez->x1), Float(bez->y1),
-                       Float(bez->x2), Float(bez->y2)
+                       Float(bez->x2), Float(bez->y2),
+                       Float(bez->x3), Float(bez->y3)
                        };
                builder.Add(coeffs);
        }
@@ -425,7 +423,7 @@ void ObjectRenderer::RenderLineOnCPU(int64_t x0, int64_t y0, int64_t x1, int64_t
                        if (neg_m) --y; else ++y;
                        p += two_dxdy;
                }
-       } while (++x < x_end);
+       } while (++x <= x_end);
 }
 
 }

diff --git a/src/objectrenderer.h b/src/objectrenderer.h
index 602b461..697cf5b 100644 (file)
--- a/src/objectrenderer.h
+++ b/src/objectrenderer.h
@@ -121,6 +121,7 @@ namespace IPDF
                                float x0, y0;
                                float x1, y1;
                                float x2, y2;
+                               float x3, y3;
                        };
 
                        GLuint m_bezier_buffer_texture;

diff --git a/src/shaders/bezier_texbuf_geom.glsl b/src/shaders/bezier_texbuf_geom.glsl
index bb9a219..281627d 100644 (file)
--- a/src/shaders/bezier_texbuf_geom.glsl
+++ b/src/shaders/bezier_texbuf_geom.glsl
@@ -19,9 +19,11 @@ void main()
 {
        int bezierid = texelFetch(bezier_id_buffer_texture, objectid[0]).r;
        vec2 boundssize = gl_in[1].gl_Position.xy - gl_in[0].gl_Position.xy;
-       vec2 coeff0 = texelFetch(bezier_buffer_texture, bezierid*3).rg;
-       vec2 coeff1 = texelFetch(bezier_buffer_texture, bezierid*3+1).rg;
-       vec2 coeff2 = texelFetch(bezier_buffer_texture, bezierid*3+2).rg;
+       vec2 coeff0 = texelFetch(bezier_buffer_texture, bezierid*4).rg;
+       vec2 coeff1 = texelFetch(bezier_buffer_texture, bezierid*4+1).rg;
+       vec2 coeff2 = texelFetch(bezier_buffer_texture, bezierid*4+2).rg;
+       vec2 coeff3 = texelFetch(bezier_buffer_texture, bezierid*4+3).rg;
+
        vec2 boundspxsize = pixsize[0];
        int blen = clamp(int(abs(boundspxsize.x)),2,100);
        float invblen = 1.0f/float(blen);
@@ -29,10 +31,11 @@ void main()
        {
                float t = i * invblen;
                float oneminust = 1.0f - t;
-               float bernstein0 = t*t;
-               float bernstein1 = 2*t*oneminust;
-               float bernstein2 = oneminust*oneminust;
-               gl_Position = vec4((coeff0*bernstein0 + coeff1*bernstein1 + coeff2*bernstein2) * boundssize + gl_in[0].gl_Position.xy, 0.0, 1.0);
+               float bernstein0 = t*t*t;
+               float bernstein1 = 3*t*t*oneminust;
+               float bernstein2 = 3*t*oneminust*oneminust;
+               float bernstein3 = oneminust*oneminust*oneminust;
+               gl_Position = vec4((coeff0*bernstein0 + coeff1*bernstein1 + coeff2*bernstein2 + coeff3*bernstein3) * boundssize + gl_in[0].gl_Position.xy, 0.0, 1.0);
                EmitVertex();
                
        }

diff --git a/src/svg-tests/glyphs.svg b/src/svg-tests/glyphs.svg
new file mode 100644 (file)
index 0000000..e258dee
--- /dev/null
+++ b/src/svg-tests/glyphs.svg
@@ -0,0 +1,136 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   xmlns:dc="http://purl.org/dc/elements/1.1/"
+   xmlns:cc="http://creativecommons.org/ns#"
+   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+   xmlns:svg="http://www.w3.org/2000/svg"
+   xmlns="http://www.w3.org/2000/svg"
+   version="1.1"
+   width="252"
+   height="30"
+   id="svg2">
+  <defs
+     id="defs4" />
+  <metadata
+     id="metadata7">
+    <rdf:RDF>
+      <cc:Work
+         rdf:about="">
+        <dc:format>image/svg+xml</dc:format>
+        <dc:type
+           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
+        <dc:title></dc:title>
+      </cc:Work>
+    </rdf:RDF>
+  </metadata>
+      <path
+         d="M 4.9764862,6.4616947 C 4.367108,6.4617027 3.9081241,6.7624836 3.5995331,7.3640385 3.2948434,7.9617012 3.1424999,8.8620909 3.1425018,10.06521 c -1.9e-6,1.199222 0.1523416,2.099612 0.4570313,2.701172 0.308591,0.597658 0.7675749,0.896485 1.3769531,0.896485 0.6132768,0 1.0722607,-0.298827 1.3769531,-0.896485 C 6.6620276,12.164822 6.8163243,11.264432 6.81633,10.06521 6.8163243,8.8620909 6.6620276,7.9617012 6.3534393,7.3640385 6.0487469,6.7624836 5.589763,6.4617027 4.9764862,6.4616947 m 0,-0.9375 c 0.980464,8.9e-6 1.7285101,0.3886804 2.2441406,1.1660156 0.5195247,0.7734445 0.7792901,1.8984434 0.7792969,3.3749997 -6.8e-6,1.472659 -0.2597722,2.597658 -0.7792969,3.375 -0.5156305,0.773438 -1.2636766,1.160156 -2.2441406,1.160157 -0.9804716,-1e-6 -1.7304708,-0.386719 -2.25,-1.160157 -0.515626,-0.777342 -0.7734383,-1.902341 -0.7734375,-3.375 -8e-7,-1.4765563 0.2578115,-2.6015552 0.7734375,-3.3749997 0.5195292,-0.7773352 1.2695284,-1.1660067 2.25,-1.1660156"
+         id="path2990" />
+      <path
+         d="m 10.290939,13.434351 1.933594,0 0,-6.6738282 -2.103516,0.421875 0,-1.078125 2.091797,-0.421875 1.183594,0 0,7.7519532 1.933594,0 0,0.996094 -5.039063,0 0,-0.996094"
+         id="path2992" />
+      <path
+         d="m 18.746017,13.434351 4.13086,0 0,0.996094 -5.554688,0 0,-0.996094 c 0.449218,-0.464842 1.060545,-1.087889 1.833985,-1.869141 0.77734,-0.785152 1.265621,-1.291011 1.464843,-1.517578 0.378902,-0.4257762 0.642574,-0.7851509 0.791016,-1.0781248 0.152339,-0.2968692 0.228511,-0.5878846 0.228516,-0.8730469 -5e-6,-0.4648369 -0.164068,-0.8437428 -0.492188,-1.1367187 -0.324223,-0.292961 -0.748051,-0.4394452 -1.271484,-0.4394531 -0.371097,7.9e-6 -0.763675,0.064461 -1.177735,0.1933593 -0.410158,0.1289139 -0.84961,0.3242262 -1.318359,0.5859375 l 0,-1.1953125 c 0.476561,-0.1913977 0.921873,-0.3359288 1.335938,-0.4335937 0.414059,-0.097647 0.792965,-0.1464755 1.136718,-0.1464844 0.906246,8.9e-6 1.628902,0.2265712 2.167969,0.6796875 0.539056,0.4531328 0.808587,1.0586009 0.808594,1.8164063 -7e-6,0.359381 -0.06837,0.7011776 -0.205078,1.0253906 -0.132819,0.3203176 -0.376959,0.6992234 -0.732422,1.1367189 -0.09766,0.113285 -0.408208,0.44141 -0.931641,0.984375 -0.523441,0.539065 -1.261722,1.294924 -2.214844,2.267578"
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diff --git a/src/svg-tests/koch1.svg b/src/svg-tests/koch1.svg
new file mode 120000 (symlink)
index 0000000..2305547
--- /dev/null
+++ b/src/svg-tests/koch1.svg
@@ -0,0 +1 @@
+/home/sam/ipdf/sam/figures/koch1.svg
\ No newline at end of file

diff --git a/src/svg-tests/rabbit_simple.svg b/src/svg-tests/rabbit_simple.svg
new file mode 120000 (symlink)
index 0000000..30fed1a
--- /dev/null
+++ b/src/svg-tests/rabbit_simple.svg
@@ -0,0 +1 @@
+/home/sam/ipdf/sam/figures/rabbit_simple.svg
\ No newline at end of file

diff --git a/src/svg-tests/shape.svg b/src/svg-tests/shape.svg
new file mode 120000 (symlink)
index 0000000..62d71a8
--- /dev/null
+++ b/src/svg-tests/shape.svg
@@ -0,0 +1 @@
+/home/sam/ipdf/sam/figures/shape.svg
\ No newline at end of file

diff --git a/src/view.cpp b/src/view.cpp
index 496b3b0..4bbe5f0 100644 (file)
--- a/src/view.cpp
+++ b/src/view.cpp
@@ -330,7 +330,7 @@ void View::PrepareRender()
                m_object_renderers.at(type)->AddObjectToBuffers(id); // Use at() in case the document is corrupt TODO: Better error handling?
                // (Also, Wow I just actually used std::vector::at())
                // (Also, I just managed to make it throw an exception because I'm a moron)
-               Debug("Object of type %d", type);
+               //Debug("Object of type %d", type);
        }
 
        // Finish the buffers