From: Sam Moore Date: Mon, 30 Jun 2014 04:29:14 +0000 (+0800) Subject: Rational representation X-Git-Url: https://git.ucc.asn.au/?p=ipdf%2Fcode.git;a=commitdiff_plain;h=33356addacfe4296ecb613c6c4696f082e351159;hp=54798ed9050d0742c6cdab067fad0cc364b1d6b2 Rational representation Buggy, partly due to integer overflows, partly due to moronic bugs that have yet to be determined. --- diff --git a/src/Makefile b/src/Makefile index 6dbb2e1..8ff6370 100644 --- a/src/Makefile +++ b/src/Makefile @@ -69,7 +69,7 @@ $(BIN) : $(LINKOBJ) ../obj/$(MAIN) -include $(DEPS) -../obj/%.o : %.cpp +../obj/%.o : %.cpp main.h @mkdir -p $(dir $@) $(CXX) $(CFLAGS) $(DEF) -c -MMD -o $@ $< diff --git a/src/arbint.cpp b/src/arbint.cpp new file mode 100644 index 0000000..ccde0dd --- /dev/null +++ b/src/arbint.cpp @@ -0,0 +1,52 @@ +#include "arbint.h" +#include +#include +using namespace std; + +/* +static bool addc(uint32_t a, uint32_t b, uint32_t * r) +{ + volatile uint32_t carry = false; + volatile uint32_t result = a + b; + asm volatile + ( + "jc 1f;" + "mov $0, %%eax;" + "1:" + : "=a" (carry) + ); + *r = result; + return (carry == 1); +} +*/ + +namespace IPDF +{ + +Arbint::Arbint(int64_t i) : m_words(2), m_sign(false) +{ + m_sign = i < 0; + memcpy(m_words.data(), &i, sizeof(int64_t)); +} + +string Arbint::Str() const +{ + string s(""); + for (unsigned i = 0; i < m_words.size(); ++i) + { + uint32_t w = m_words[i]; + do + { + uint32_t q = w % 10; + w /= 10; + s += ('0' + q); + } + while (w > 0); + if (i+1 < m_words.size()) s += ","; + } + if (m_sign) s += '-'; + reverse(s.begin(), s.end()); + return s; +} + +} diff --git a/src/arbint.h b/src/arbint.h new file mode 100644 index 0000000..d90a43b --- /dev/null +++ b/src/arbint.h @@ -0,0 +1,26 @@ +#ifndef _ARBINT_H +#define _ARBINT_H + +#include + +namespace IPDF +{ + class Arbint + { + public: + Arbint(int64_t i); + ~Arbint() {} + Arbint(const Arbint & cpy); + + std::string Str() const; + + private: + std::vector m_words; + bool m_sign; + + + + }; +} + +#endif //_ARBINT_H diff --git a/src/main.cpp b/src/main.cpp index c14a586..8ead652 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -90,11 +90,15 @@ int main(int argc, char ** argv) for(int x = 0; x < 8; ++x) { + for (int y = 0; y < 8; ++y) { //doc.Add(static_cast((x^y)%3), Rect(0.2+x-4.0,0.2+y-4.0,0.6,0.6)); - doc.Add(BEZIER, Rect(0.2+x-4.0, 0.2+y-4.0, 0.6,0.6), (x^y)%3); + //doc.Add(BEZIER, Rect(0.2+x-4.0, 0.2+y-4.0, 0.6,0.6), (x^y)%3); } + + //doc.Add(RECT_OUTLINE, Rect(0.1,0.1,0.8,0.8), 0); + doc.Add(BEZIER, Rect(0,0,1,1), 0); } } diff --git a/src/main.h b/src/main.h index 65eabb6..dcd85fb 100644 --- a/src/main.h +++ b/src/main.h @@ -57,7 +57,11 @@ inline void MainLoop(Document & doc, const Rect & bounds = Rect(0,0,1,1), const } if (buttons) { - view.Translate(Real(oldx-x)/Real(scr.ViewportWidth()), Real(oldy-y)/Real(scr.ViewportHeight())); + #if REAL == REAL_RATIONAL + view.Translate(Real(oldx, scr.ViewportWidth()) -Real(x,scr.ViewportWidth()), Real(oldy, scr.ViewportHeight()) - Real(y,scr.ViewportHeight())); + #else + view.Translate(Real(oldx-x)/Real(scr.ViewportWidth()), Real(oldy-y)/Real(scr.ViewportHeight())); + #endif } else { @@ -69,7 +73,12 @@ inline void MainLoop(Document & doc, const Rect & bounds = Rect(0,0,1,1), const if (wheel) { - view.ScaleAroundPoint(Real(x)/Real(scr.ViewportWidth()),Real(y)/Real(scr.ViewportHeight()), expf(-wheel/20.f)); + #if REAL == REAL_RATIONAL + view.ScaleAroundPoint(Real(x,scr.ViewportWidth()), Real(y,scr.ViewportHeight()), Real(100-5*wheel, 100)); + #else + view.ScaleAroundPoint(Real(x)/Real(scr.ViewportWidth()),Real(y)/Real(scr.ViewportHeight()), Real(expf(-wheel/20.f))); + #endif + } } ); @@ -83,7 +92,7 @@ inline void MainLoop(Document & doc, const Rect & bounds = Rect(0,0,1,1), const clock_gettime(CLOCK_MONOTONIC_RAW, &real_clock_start); real_clock_now = real_clock_start; double frames = 0; - double data_rate = -1; // period between data output to stdout (if <= 0 there will be no output) + double data_rate = 1; // period between data output to stdout (if <= 0 there will be no output) uint64_t data_points = 0; setbuf(stdout, NULL); while (scr.PumpEvents()) @@ -114,6 +123,7 @@ inline void MainLoop(Document & doc, const Rect & bounds = Rect(0,0,1,1), const scr.DebugFontPrintF("[GPU] Render took %lf ms (%lf FPS) (total %lf s, avg FPS %lf)\n", gpu_frame*1e3, 1.0/gpu_frame, total_gpu_time, frames/total_gpu_time); scr.DebugFontPrintF("[REALTIME] Render+Present+Cruft took %lf ms (%lf FPS) (total %lf s, avg FPS %lf)\n", real_frame*1e3, 1.0/real_frame, total_real_time,frames/total_real_time); scr.DebugFontPrintF("View bounds: %s\n", view.GetBounds().Str().c_str()); + scr.DebugFontPrintF("type of Real == %s\n", g_real_name[REAL]); if (view.UsingGPUTransform()) { diff --git a/src/objectrenderer.cpp b/src/objectrenderer.cpp index 755df98..13d17b2 100644 --- a/src/objectrenderer.cpp +++ b/src/objectrenderer.cpp @@ -228,7 +228,7 @@ void BezierRenderer::RenderUsingCPU(const Objects & objects, const View & view, for (unsigned j = 1; j <= 100; ++j) { control.Evaluate(x[j % 2],y[j % 2], Real(0.01)*j); - ObjectRenderer::RenderLineOnCPU((int64_t)x[0],(int64_t)y[0], (int64_t)x[1],(int64_t)y[1], target); + ObjectRenderer::RenderLineOnCPU((int64_t)Double(x[0]),(int64_t)Double(y[0]), (int64_t)Double(x[1]),(int64_t)Double(y[1]), target); } /* @@ -261,9 +261,9 @@ void BezierRenderer::PrepareBezierGPUBuffer(const Objects& objects) for (auto bez : objects.beziers) { GPUBezierCoeffs coeffs = { - (float)bez.x0, (float)bez.y0, - (float)bez.x1 - (float)bez.x0, (float)bez.y1 - (float)bez.y0, - (float)bez.x2 - (float)bez.x0, (float)bez.y2 - (float)bez.y0 + Float(bez.x0), Float(bez.y0), + Float(bez.x1 - bez.x0), Float(bez.y1 - bez.y0), + Float(bez.x2 - bez.x0), Float(bez.y2 - bez.y0) }; builder.Add(coeffs); } diff --git a/src/objectrenderer.h b/src/objectrenderer.h index 4ebb66a..6f29add 100644 --- a/src/objectrenderer.h +++ b/src/objectrenderer.h @@ -50,7 +50,7 @@ namespace IPDF struct PixelBounds { int64_t x; int64_t y; int64_t w; int64_t h; - PixelBounds(const Rect & bounds) : x(bounds.x), y(bounds.y), w(bounds.w), h(bounds.h) {} + PixelBounds(const Rect & bounds) : x(Double(bounds.x)), y(Double(bounds.y)), w(Double(bounds.w)), h(Double(bounds.h)) {} }; static Rect CPURenderBounds(const Rect & bounds, const View & view, const CPURenderTarget & target); diff --git a/src/rational.h b/src/rational.h new file mode 100644 index 0000000..b3709ad --- /dev/null +++ b/src/rational.h @@ -0,0 +1,177 @@ +#ifndef _RATIONAL_H +#define _RATIONAL_H + +/** + * A really shoddy implementation of Rational numbers + */ + +#include "common.h" +#include +#include + +namespace IPDF +{ + +/** Greatest Common Divisor - Euclid's algorithm **/ + +template +T gcd(const T & a, const T & b) +{ + if (a == 1 || a == 0) return 1; + if (b == 0) return a; + if (b == a) return a; + + if (a > b) return gcd(a-b,b); + return gcd(a, b-a); +} + +/* +template +T gcd(const T & p, const T & q) +{ + Debug("p/q = % + T g(1); + T big(p); + T small(q); + if (p < q) + { + big = q; + small = p; + } + if (small == 0) + return g; + while ((g = big % small) > 0) + { + big = small; + small = g; + } + return small; +} +*/ +template +struct Rational +{ + /** Construct from a double.**/ + Rational(double d = 0) : P(d*1e3), Q(1e3) // Possibly the worst thing ever... + { + Simplify(); + //CheckAccuracy(d, "Construct from double"); + } + + Rational(const T & _P, const T & _Q) : P(_P), Q(_Q) + { + Simplify(); + } + + Rational(const Rational & cpy) : P(cpy.P), Q(cpy.Q) + { + Simplify(); + } + + void Simplify() + { + if (Q < 0) + { + P = (P < 0) ? -P : P; + Q = -Q; + } + + T g = gcd(llabs(P),llabs(Q)); + P /= g; + Q /= g; + } + + bool operator==(const Rational & r) const + { + if (P == r.P && Q == r.Q) return true; + return ToDouble() == r.ToDouble(); + } + + + bool operator<(const Rational & r) const {return (P*r.Q < r.P * Q);} + bool operator>(const Rational & r) const {return !(*this < r);} + bool operator<=(const Rational & r) const {return *this == r || *this < r;} + bool operator>=(const Rational & r) const {return *this == r || *this > r;} + bool operator!=(const Rational & r) const {return !(*this == r);} + + + + /* + Rational operator+(const Rational & r) const + { + Rational result = (r.P == 0) ? Rational(P,Q) : Rational(P*r.Q + r.P*Q, Q*r.Q); + result.CheckAccuracy(ToDouble() + r.ToDouble(),"+"); + return result; + } + Rational operator-(const Rational & r) const + { + Rational result = (r.P == 0) ? Rational(P,Q) : Rational(P*r.Q - r.P*Q, Q*r.Q); + result.CheckAccuracy(ToDouble() - r.ToDouble(),"-"); + return result; + } + */ + Rational operator*(const Rational & r) const + { + Rational result(P * r.P, Q * r.Q); + if (!result.CheckAccuracy(ToDouble() * r.ToDouble(),"*")) + { + Debug("This is %s (%f) and r is %s (%f)", Str().c_str(), ToDouble(), r.Str().c_str(), r.ToDouble()); + } + return result; + } + Rational operator/(const Rational & r) const + { + Rational result = (r.P == 0) ? Rational(P,Q) : Rational(P*r.Q + r.P*Q, Q*r.Q); + if (!result.CheckAccuracy(ToDouble() / r.ToDouble(),"*")) + { + Debug("This is %s (%f) and r is %s (%f)", Str().c_str(), ToDouble(), r.Str().c_str(), r.ToDouble()); + } + return result; + } + + Rational operator+(const Rational & r) const {return Rational(ToDouble()+r.ToDouble());} + Rational operator-(const Rational & r) const {return Rational(ToDouble()-r.ToDouble());} + //Rational operator*(const Rational & r) const {return Rational(ToDouble()*r.ToDouble());} + //Rational operator/(const Rational & r) const {return Rational(ToDouble()/r.ToDouble());} + + Rational & operator=(const Rational & r) {P = r.P; Q = r.Q; return *this;} + Rational & operator+=(const Rational & r) {this->operator=(*this+r); return *this;} + Rational & operator-=(const Rational & r) {this->operator=(*this-r); return *this;} + Rational & operator*=(const Rational & r) {this->operator=(*this*r); return *this;} + Rational & operator/=(const Rational & r) {this->operator=(*this/r); return *this;} + + double ToDouble() const {return (double)(P) / (double)(Q);} + bool CheckAccuracy(double d, const char * msg, double threshold = 1e-6) const + { + double result = fabs(ToDouble() - d) / d; + if (result > threshold) + { + Warn("(%s) : Rational %s (%f) is not close enough at representing %f (%f vs %f)", msg, Str().c_str(), ToDouble(), d, result, threshold); + return false; + } + return true; + } + std::string Str() const + { + std::stringstream s; + s << (int64_t)P << "/" << (int64_t)Q; + return s.str(); + } + + T P; + T Q; +}; + +inline Rational pow(const Rational & a, const Rational & b) +{ + //TODO:Implement properly + int64_t P = std::pow((double)a.P, b.ToDouble()); + int64_t Q = std::pow((double)a.Q, b.ToDouble()); + return Rational(P, Q); +} + + +} + +#endif //_RATIONAL_H + diff --git a/src/rationalrange.data b/src/rationalrange.data new file mode 100644 index 0000000..a40e4ad --- /dev/null +++ b/src/rationalrange.data @@ -0,0 +1,10000 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"long double", - "single [fast2sum]" + "single [fast2sum]", //TODO REMOVE DOESN'T DO ANYTHING USEFUL + "Rational" }; } diff --git a/src/real.h b/src/real.h index 00eff9c..ab90384 100644 --- a/src/real.h +++ b/src/real.h @@ -3,10 +3,12 @@ #include "common.h" + #define REAL_SINGLE 0 #define REAL_DOUBLE 1 #define REAL_LONG_DOUBLE 2 -#define REAL_SINGLE_FAST2SUM 3 +#define REAL_SINGLE_FAST2SUM 3 //TODO: Remove, is FITH +#define REAL_RATIONAL 4 #ifndef REAL #error "REAL was not defined!" @@ -16,6 +18,10 @@ #include "real_fast2sum.h" #endif //REAL +#if REAL == REAL_RATIONAL + #include "rational.h" +#endif //REAL + namespace IPDF { extern const char * g_real_name[]; @@ -28,8 +34,13 @@ namespace IPDF typedef long double Real; #elif REAL == REAL_SINGLE_FAST2SUM typedef RealF2S Real; - inline float Float(Real r) {return r.m_value;} - + inline float Float(const Real & r) {return r.m_value;} + inline double Double(const Real & r) {return r.m_value;} +#elif REAL == REAL_RATIONAL + + typedef Rational Real; + inline float Float(const Real & r) {return (float)r.ToDouble();} + inline double Double(const Real & r) {return r.ToDouble();} #else #error "Type of Real unspecified." #endif //REAL @@ -37,9 +48,12 @@ namespace IPDF // Allow us to call Float on the primative types // Useful so I can template some things that could be either (a more complicated) Real or a primitive type // Mostly in the testers. - inline float Float(float f) {return f;} - inline double Float(double f) {return f;} - inline double Float(long double f) {return double(f);} + inline float Float(float f) {return (float)f;} + inline float Float(double f) {return (float)f;} + inline float Float(long double f) {return (float)(f);} + inline double Double(float f) {return (double)f;} + inline double Double(double f) {return (double)f;} + inline double Double(long double f) {return (double)(f);} } #endif //_REAL_H diff --git a/src/tests/arb.cpp b/src/tests/arb.cpp new file mode 100644 index 0000000..29c6325 --- /dev/null +++ b/src/tests/arb.cpp @@ -0,0 +1,14 @@ +#include +#include +#include + +#include "arbint.cpp" + +using namespace std; +using namespace IPDF; + +int main(int argc, char ** argv) +{ + Arbint a(4294967296L); + printf("%s\n", a.Str().c_str()); +} diff --git a/src/tests/asm.cpp b/src/tests/asm.cpp new file mode 100644 index 0000000..aa17b3b --- /dev/null +++ b/src/tests/asm.cpp @@ -0,0 +1,17 @@ +#include +#include +#include + +using namespace std; + + + +int main(int argc, char ** argv) +{ + uint32_t a = 4294967295; + uint32_t b = 0; + uint32_t r = 0; + bool c = addc(a, b, &r); + printf("%u + %u = %u (%u)\n", a, b, r, (uint32_t)c); + +} diff --git a/src/tests/rationalrange.cpp b/src/tests/rationalrange.cpp new file mode 100644 index 0000000..0c16973 --- /dev/null +++ b/src/tests/rationalrange.cpp @@ -0,0 +1,37 @@ +#include "main.h" +#include "rational.h" +#include +#include + +using namespace std; +using namespace IPDF; + +int main(int argc, char ** argv) +{ + typedef uint64_t Uint; + typedef pair, Rational > RatPear; + + for (int i = 0; i < (int)(1e4); ++i) + { + double test = double(rand() % (int)(1e12)) * double(rand() % (int)(1e12)) / double(rand() % (int)1e12); + Rational r(test); + printf("%f\t%f\t%f\t%lu\t%lu\n", test, r.ToDouble(), fabs(r.ToDouble() - test), r.P, r.Q); + } + +#if 0 + list space; + for (Uint p = 0; p < 128; ++p) + { + for (Uint q = 0; q < 128; ++q) + { + space.push_back(RatPear(pair(p,q), Rational(p,q))); + } + } + space.sort([=](const RatPear & a, const RatPear & b){return a.second < b.second;}); + for (auto i = space.begin(); i != space.end(); ++i) + { + if (i->second.Q != 0) + printf("%li\t%li\t%li\t%li\t%f\n", i->first.first, i->first.second, i->second.P, i->second.Q, i->second.ToDouble()); + } +#endif +} diff --git a/src/view.cpp b/src/view.cpp index af1980a..2d9d0b3 100644 --- a/src/view.cpp +++ b/src/view.cpp @@ -88,7 +88,7 @@ void View::ScaleAroundPoint(Real x, Real y, Real scale_amount) m_bounds.y = y - top; m_bounds.w *= scale_amount; m_bounds.h *= scale_amount; - Debug("View Bounds => %s", m_bounds.Str().c_str()); + //Debug("Scale at {%s, %s} by %s View Bounds => %s", x.Str().c_str(), y.Str().c_str(), scale_amount.Str().c_str(), m_bounds.Str().c_str()); if (!m_use_gpu_transform) m_buffer_dirty = true; m_bounds_dirty = true;