X-Git-Url: https://git.ucc.asn.au/?p=ipdf%2Fcode.git;a=blobdiff_plain;f=src%2Fbezier.h;h=a7124afd8f250a03460968ff355e70282a4d1961;hp=7ff4f8718c91fc5f7c6474cb910ee303849473d4;hb=8b3424a48d2d2e20de1a0e60ff6e1d84b9b5e226;hpb=35f1190c8c8036ed11180656769cf0c1cbf7c2b3 diff --git a/src/bezier.h b/src/bezier.h index 7ff4f87..a7124af 100644 --- a/src/bezier.h +++ b/src/bezier.h @@ -25,16 +25,72 @@ namespace IPDF Real x2; Real y2; Real x3; Real y3; - typedef enum {LINE, QUADRATIC, CUSP, LOOP, SERPENTINE} Type; + typedef enum {UNKNOWN, LINE, QUADRATIC, CUSP, LOOP, SERPENTINE} Type; Type type; 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, 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, Real _x3, Real _y3) : x0(_x0), y0(_y0), x1(_x1), y1(_y1), x2(_x2), y2(_y2), x3(_x3), y3(_y3), type(UNKNOWN) { - //TODO: classify the curve - type = SERPENTINE; + } + const Type & GetType() + { + if (type != Bezier::UNKNOWN) + return type; + // From Loop-Blinn 2005, with w0 == w1 == w2 == w3 = 1 + // Transformed control points: (a0 = x0, b0 = y0) + Real a1 = (x1-x0)*3; + Real a2 = (x0- x1*2 +x2)*3; + Real a3 = (x3 - x0 + (x1 - x2)*3); + + Real b1 = (y1-y0)*3; + Real b2 = (y0- y1*2 +y2)*3; + Real b3 = (y3 - y0 + (y1 - y2)*3); + + // d vector (d0 = 0 since all w = 1) + Real d1 = a2*b3 - a3*b2; + Real d2 = a3*b1 - a1*b3; + Real d3 = a1*b2 - a2*b1; + + if (d1 == d2 && d2 == d3 && d3 == 0) + { + type = LINE; + //Debug("LINE %s", Str().c_str()); + return type; + } + + Real delta1 = -d1*d1; + Real delta2 = d1*d2; + Real delta3 = d1*d3 -d2*d2; + if (delta1 == delta2 && delta2 == delta3 && delta3 == 0) + { + type = QUADRATIC; + + //Debug("QUADRATIC %s", Str().c_str()); + return type; + } + + Real discriminant = d1*d3*4 -d2*d2; + if (discriminant == 0) + { + type = CUSP; + //Debug("CUSP %s", Str().c_str()); + } + else if (discriminant > 0) + { + type = SERPENTINE; + //Debug("SERPENTINE %s", Str().c_str()); + } + else + { + type = LOOP; + //Debug("LOOP %s", Str().c_str()); + } + return type; + } + + std::string Str() const { std::stringstream s; @@ -46,7 +102,7 @@ namespace IPDF * Construct absolute control points using relative control points to a bounding rectangle * ie: If cpy is relative to bounds rectangle, this will be absolute */ - 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), type(cpy.type) + 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), type(UNKNOWN) { x0 *= t.w; y0 *= t.h;