Repository: mzucker/miniray Branch: master Commit: 3b8c201f9912 Files: 64 Total size: 4.7 MB Directory structure: gitextract_ktvb06_t/ ├── .gitignore ├── CMakeLists.txt ├── README.md ├── format_and_count.py ├── ppm/ │ ├── card.ppm │ ├── miniray_0.1.ppm │ ├── miniray_0.2.ppm │ ├── miniray_0.3.ppm │ ├── miniray_0.4.ppm │ ├── miniray_0.5.ppm │ ├── miniray_0.6.ppm │ ├── miniray_1.0.ppm │ ├── miniray_1.1.ppm │ ├── miniray_1.2.ppm │ ├── miniray_1.3.ppm │ ├── miniray_1.4.ppm │ ├── miniray_1.4_commented.ppm │ ├── miniray_2.0.ppm │ ├── miniray_2.1.ppm │ ├── miniray_2.2.ppm │ ├── miniray_2.3.ppm │ ├── miniray_2.4.ppm │ ├── miniray_3.0.ppm │ ├── miniray_3.1.ppm │ ├── miniray_4.0.ppm │ ├── miniray_4.1.ppm │ ├── miniray_4.2.ppm │ ├── miniray_4.3.ppm │ ├── miniray_4.4.ppm │ ├── miniray_4.5.ppm │ ├── miniray_4.6.ppm │ ├── miniray_4.6_commented.ppm │ └── zucker.ppm └── src/ ├── CMakeLists.txt ├── card.cpp ├── encode.cpp ├── miniray_0.1.cpp ├── miniray_0.2.cpp ├── miniray_0.3.cpp ├── miniray_0.4.cpp ├── miniray_0.5.cpp ├── miniray_0.6.cpp ├── miniray_1.0.cpp ├── miniray_1.1.cpp ├── miniray_1.2.cpp ├── miniray_1.3.cpp ├── miniray_1.4.cpp ├── miniray_1.4_commented.cpp ├── miniray_2.0.cpp ├── miniray_2.1.cpp ├── miniray_2.2.cpp ├── miniray_2.3.cpp ├── miniray_2.4.cpp ├── miniray_3.0.cpp ├── miniray_3.1.cpp ├── miniray_4.0.c ├── miniray_4.1.c ├── miniray_4.2.c ├── miniray_4.3.c ├── miniray_4.4.c ├── miniray_4.5.c ├── miniray_4.6.c ├── miniray_4.6_commented.c └── zucker.c ================================================ FILE CONTENTS ================================================ ================================================ FILE: .gitignore ================================================ .DS_Store *~ build/* nogit/* ================================================ FILE: CMakeLists.txt ================================================ cmake_minimum_required(VERSION 2.6) project(miniray) set(EXECUTABLE_OUTPUT_PATH ${PROJECT_BINARY_DIR}) add_subdirectory(src) ================================================ FILE: README.md ================================================ miniray ======= Business card raytracer / eventual IOCCC winner. See full writeup at Building ======== To build: cd /path/to/miniray mkdir build cd build cmake .. -DCMAKE_BUILD_TYPE=Release make make ppm_images #optional, takes a while Using the software ================== For all versions, you can pipe the output to a PPM image (displayable with ImageMagick `display` command among other apps): ./miniray > image.ppm For versions 4.2 and after, you can input your own text: ./miniray "my text" > image.ppm ./miniray "my text" -preview > image.ppm # faster, reflections & AA disabled See also ======== - ================================================ FILE: format_and_count.py ================================================ import ply.lex as lex import sys import re ###################################################################### def get_tokens(istr): tokens = ['CPPLINE', 'INT', 'DOUBLE', 'STRING', 'COMMENT', 'IDENTIFIER', 'OP', 'WHITESPACE'] t_CPPLINE = r'\#.*?\n' t_COMMENT = r'(?s)(/\*.*?\*/|//[^\n]*\n)' t_INT = r'[0-9]+[uUlL]*' t_DOUBLE = r'([0-9]*\.[0-9]+|[0-9]+)([eE]-?[0-9]+)?[fFlL]?' t_STRING = r'"([^"\\]|\\.)*"' t_IDENTIFIER = r'[_A-Za-z][_A-Za-z0-9]*' t_OP = r'(\+\+|--|!=|>=|<=|>>|<<|&&|\|\||\+=|-=|\*=|/=|%=|&=|\|=|\^=|<<=|>>=|->|==)' t_WHITESPACE = r'[ \n\t]+' literals = '()=+-*/%!~^&|{}[];,?:<>.' def t_error(t): print >> sys.stderr, 'error tokenizing, character is', t.value[0] sys.exit(1) l = lex.lex() l.input(istr) tokens = [] buf = '' iscpp = True defines = {} while True: tok = l.token() if not tok: break if tok.type == 'CPPLINE': if not iscpp: sys.stderr.write('error: C preprocessor stuff not at top!\n'); sys.exit(1) else: m = re.match(r'\#define\s+(\S+)\s(\S+)\n', tok.value) if m: defines[m.group(2)] = m.group(1) buf += tok.value elif tok.type != 'WHITESPACE' and tok.type != 'COMMENT': iscpp = False if defines.has_key(tok.value): tokens.append(defines[tok.value]) else: tokens.append(tok.value) return buf, tokens ###################################################################### def can_join(buf, tok): ops = ['++','--','!=','>=','<=','>>','<<','&&','||','+=', '-=','*=','/=','%=','&=','|=','\=','^=','->','==']; if len(buf) == 0 or buf[-1].isspace(): return True elif buf[-1].isalnum() and tok[0].isalnum(): return False else: return not ops.count(buf[-1] + tok[0]) ###################################################################### def wrap_simple(filename, buf, tokens, width): line = '' last_space = -1 for token in tokens: need_whitespace = not can_join(line, token) line_remaining = width - len(line) token_needs = len(token) if need_whitespace: token_needs += 1 if token_needs > line_remaining: if last_space >= 0: buf += line[:last_space] + '\n' line = line[last_space+1:] last_space = -1 line_remaining = width - len(line) if token_needs > line_remaining: buf += line + '\n' line = '' line_remaining = 0 if need_whitespace: last_space = len(line) line += ' ' line += token buf += line cnt = len(buf) ws = len(re.findall(r'(?s)\s', buf)) br = len(re.findall(r'(?s)[{};]\s', buf)) print >> sys.stderr, '/* {:>30}: total size={:4}, contest length={:4} */'.format( filename, cnt, cnt-ws-br) print buf ###################################################################### filename = sys.argv[1] f = open(filename) istr = f.read() (buf, tokens) = get_tokens(istr) wrap_simple(filename, buf, tokens, 80) ================================================ FILE: ppm/card.ppm ================================================ P6 600 220 255 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================================================ FILE: ppm/miniray_2.1.ppm ================================================ P6 600 220 255 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J|%K,L6MAOIPKQIPEN@L;J7I3H/G+F}&Fy"EtCpA|$7y-n"iOSOSOSOSOSDHqim!v+y,}!3z0|13!5&7.>7D7D7C?K?L>KJNSNSNSNSNSNSNSNSNSNSNSNSNSNSGN6G+F~'I{$K*E,F~&N|%P*Q1Q "${RAYTRACER}.ppm" DEPENDS ${RAYTRACER} WORKING_DIRECTORY ${PROJECT_BINARY_DIR}) add_custom_target(${RAYTRACER}_image DEPENDS "${PROJECT_BINARY_DIR}/${RAYTRACER}.ppm") add_dependencies(ppm_images ${RAYTRACER}_image) endforeach() add_executable(encode "encode.cpp") ================================================ FILE: src/card.cpp ================================================ #include // ./card > mattz.ppm # see https://goo.gl/JM9c2P typedef double f;f H=.5,Y=.66,S=-1,I,y=-111;extern"C"{f cos(f),pow(f ,f),atan2(f,f);}struct v{f x,y,z;v(f a=0,f b=0,f c=0):x(a),y(b),z(c) {}f operator%(v r){return x*r.x+y*r.y+z*r.z;}v operator+(v r){return v(x+r.x,y+r.y,z+r.z);}v operator*(f s){return v(x*s,y*s,z*s);}}W(1,1 ,1),P,C,M;f U(f a){return a<0?0:a>1?1:a;}v _(v t){return t*pow(t%t,- H);}f Q(v c){M=P+c*S;f d=M%M;return du?u: t,Q(k*H+v(cos(t),cos(t-1.57))*(a%2*H+1)):Q(k+d*U((p+k*S)%d/(d%d)));} return M=Q(v(p.x,-.9,p.z))?(int(p.x+64)^int(p.z+64))/8&1?Y:W:v(Y,Y,1 ),pow(I,H)-.45;}v R(v o,v d,f z){for(f u=0,l=1,i=0,a=1;u<97;u+=l=D(o +d*u))if(l<.01){v p=M,n=_(P+C*S),L=_(v(S,1,2));for(o=o+d*u;++i<6;a-= U(i/3-D(o+n*i*.3))/pow(2,i));p=p*(U(n%L)*H*Y+Y)*a;p=z?p*Y+R(o+n*.1,d +n*-2*(d%n),z-1)*H*Y:p;u=pow(U(n%_(L+d*S)),40);return p+p*-u+W*u;}z= d.z*d.z;return v(z,z,1);} int main(){for(puts("P6 600 220 255");++y< 110;)for(f x=-301;P=R(v(-2,4,25),_(_(v(5,0,2))*++x+_(v(-2,73))*-y+v( 301,-59,-735)),2)*255,x<300;putchar(P.z))putchar(P.x),putchar(P.y);} ================================================ FILE: src/encode.cpp ================================================ #include #include #include #include #include #include #include #include typedef unsigned char uint8; typedef unsigned short uint16; enum { X_COORD_BITS = 2, Y_COORD_BITS = 3, OP_BITS = 2, ARG_BITS = 5, }; enum { LINE_DX_BITS = 2, LINE_DY_BITS = 3, ARC_A0_BITS = 2, ARC_A1_BITS = 3, }; enum { SEP_0 = '"', SEP_1 = SEP_0 + 5, SEP_2 = SEP_1+1, }; #define MASK(b) ((1< buffer; buffer buf; struct shift_info { const char* which; int* shift; int bits; shift_info(); shift_info(const char* s, int* i, int b): which(s), shift(i), bits(b) {} }; std::vector shifts; int rand_int(int n) { return rand() % n; } void permute_shifts() { NEGATE_X = rand()%2; OP_LINE = rand()%4; do { OP_ARC = rand()%4; } while (OP_ARC == OP_LINE); do { OP_NLINE = rand()%4; } while (OP_NLINE == OP_ARC || OP_NLINE == OP_LINE); size_t all_bits = OP_BITS + ARG_BITS + X_COORD_BITS + Y_COORD_BITS; assert( all_bits <= 16 ); size_t padding_bits = 16 - all_bits; shifts.clear(); shifts.push_back(shift_info("OP", &OP_SHIFT, OP_BITS)); shifts.push_back(shift_info("X_COORD", &X_COORD_SHIFT, X_COORD_BITS)); shifts.push_back(shift_info("Y_COORD", &Y_COORD_SHIFT, Y_COORD_BITS)); shifts.push_back(shift_info("ARG", &ARG_SHIFT, ARG_BITS)); for (size_t i=0; i= X_COORD); assert(y >= Y_COORD || x > X_COORD); uint16 dx = x - X_COORD; X_COORD = x; x = dx; if (dx < dxmin) { dxmin = dx; dxminc = cur; } if (dx > dxmax) { dxmax = dx; dxmaxc = cur; } assert(type <= MASK(OP_BITS)); assert(arg <= MASK(ARG_BITS)); assert(x <= MASK(X_COORD_BITS)); assert(y <= MASK(Y_COORD_BITS)); uint16 val = ( (type << OP_SHIFT) | (arg << ARG_SHIFT) | (x << X_COORD_SHIFT) | (y << Y_COORD_SHIFT) | PADDING_VAL ); unsigned char c0 = val&0xff; unsigned char c1 = (val>>8)&0xff; bmin = std::min(bmin, std::min(c0,c1)); bmax = std::max(bmax, std::max(c0,c1)); buf.push_back(c0); buf.push_back(c1); } void start(char c, uint16 w) { Y_COORD = X_COORD = 0; buf.push_back(SEP_0+w); if (c != cur+1) { buf.push_back(SEP_2); buf.push_back(c); } cur = c; } void line(uint16 x, uint16 y, int dx, int dy) { int op = OP_LINE; if (dx < 0) { assert(NEGATE_X); dx = -dx; op = OP_NLINE; } if (dy < 0) { assert(!NEGATE_X); dy = -dy; op = OP_NLINE; } assert(y <= MASK(Y_COORD_BITS)); assert(dx <= MASK(LINE_DX_BITS)); assert(dy <= MASK(LINE_DY_BITS)); uint16 arg = (dx << LINE_DX_SHIFT) | (dy << LINE_DY_SHIFT); instr(op, arg, x, y); } void arc(uint16 x, uint16 y, uint16 a0, uint16 a1) { assert(y <= MASK(Y_COORD_BITS)); assert(a0 <= MASK(ARC_A0_BITS)); assert(a1 <= MASK(ARC_A1_BITS)); uint16 arg = (a0 << ARC_A0_SHIFT) | (a1 << ARC_A1_SHIFT); instr(OP_ARC, arg, x, y); } std::string stringify() { const unsigned char* ucbuf = (const unsigned char*)(&buf[0]); std::ostringstream ostr; bool wasHex = false; for (size_t i=0; i= 32 && b <= 126) { if (wasHex && isxdigit(b)) { // interrupt because it was hex, and we have a hex digit here ostr << "\"\""; } if (b == '\\') { ostr << "\\\\"; } else { ostr << char(b); } wasHex = false; } else { wasHex=false; switch (b) { case '\n': ostr << "\\n"; break; case '\t': ostr << "\\t"; break; case '\v': ostr << "\\v"; break; case '\b': ostr << "\\b"; break; case '\r': ostr << "\\r"; break; case '\a': ostr << "\\a"; break; case '\f': ostr << "\\f"; break; case '\0': ostr << "\\0"; break; default: ostr << "\\x" << std::hex << int(b); wasHex = true; break; } } } return ostr.str(); } std::string stringvar(const std::string& var, int shift, int bits, int total=8) { std::ostringstream ostr; ostr << var; bool needshift = shift; bool needmask = (bits + shift) < total; if (needshift) { if ((1 << shift) >= 100) { ostr << "<<" << shift; } else { ostr << "/" << (1 << shift); } } if (needmask) { ostr << "&" << ((1 << bits) - 1); } return ostr.str(); } std::string stringvar(int shift, int bits, int total=8) { if (shift>=8) { return stringvar("b[1]", shift-8, bits, total); } else { return stringvar("b[0]", shift, bits, total); } } std::string stringvars() { std::ostringstream ostr; ostr << "int o=" << stringvar(OP_SHIFT, OP_BITS) << ", a=" << stringvar(ARG_SHIFT, ARG_BITS) << ";\n"; ostr << "x+=" << stringvar(X_COORD_SHIFT, X_COORD_BITS) << "; y=" << stringvar(Y_COORD_SHIFT, Y_COORD_BITS) << ";\n"; ostr << "f i=" << stringvar("a", LINE_DX_SHIFT, LINE_DX_BITS, ARG_BITS) << ", j=" << stringvar("a", LINE_DY_SHIFT, LINE_DY_BITS, ARG_BITS) << ";\n"; ostr << "f l=-P*(" << stringvar("a", ARC_A0_SHIFT, ARC_A0_BITS, ARG_BITS) << "), " << "u=P*(" << stringvar("a", ARC_A1_SHIFT, ARC_A1_BITS, ARG_BITS) << ");\n"; return ostr.str(); } enum { OP_HLINE = 1, OP_VLINE = 2, OP_DLINE = 3, ARC_R0 = 0, ARC_R1 = 1, ARC_UPPER = 1, ARC_LOWER = 2, ARC_FULL = 3, }; void encode() { buf.clear(); bmin = -1; bmax = 0; dxmin = -1; dxmax = 0; dxminc = dxmaxc = cur = 0; start(' ', 1); start('!', 1); line(0, 0, 0, 0); line(0, 1, 0, 4); if (DO_PUNCTUATION) { start('"', 2); line(0,4,0,1); line(1,4,0,1); start('#', 4); line(0, 1, 3, 0); line(0, 4, 3, 0); line(1, 0, 0, 5); line(2, 0, 0, 5); start('$', 3); if (!NEGATE_X) { line(0, 3, 2, -1); } line(1, 0, 0, 5); arc(1, 2, 0, 1); arc(1, 3, 2, 1); if (NEGATE_X) { line(2, 2, -2, 1); } start('%', 4); line(0, 2, 3, 1); arc(1, 4, 0, 3); arc(2, 1, 0, 3); start('&', 5); line(0, 1, 0, 1); arc(1, 1, 0, 1); arc(1, 2, 3, 0); line(1, 3, 2, 0); arc(1, 4, 0, 3); line(2, 1, 0, 2); arc(3, 1, 0, 1); start('(', 2); line(0, 1, 0, 3); arc(1, 1, 0, 0); arc(1, 4, 3, 0); start(')', 2); arc(0, 1, 1, 0); arc(0, 4, 2, 0); line(1, 1, 0, 3); start('*', 3); line(0, 2, 2, 2); if (!NEGATE_X) { line(0, 4, 2, -2); } line(1, 1, 0, 4); if (NEGATE_X) { line(2, 2, -2, 2); } start('+', 3); line(0, 3, 2, 0); line(1, 2, 0, 2); start(',', 2); line(0, 0, 1, 1); start('-', 3); line(0, 3, 2, 0); } start('.', 1); line(0, 0, 0, 0); if (DO_PUNCTUATION) { start('/', 3); line(0, 0, 2, 5); } start('0', 3); line(0, 1, 0, 3); arc(1, 1, 0, 1); arc(1, 4, 2, 1); line(2, 1, 0, 3); start('1', 2); line(0, 4, 1, 1); line(1, 0, 0, 5); start('2', 3); line(0, 0, 2, 0); line(0, 0, 2, 4); arc(1, 4, 2, 1); start('3', 3); line(0, 5, 2, 0); arc(1, 1, 0, 1); arc(1, 2, 2, 0); line(1, 3, 1, 2); line(2, 1, 0, 1); start('4', 3); line(0, 2, 1, 3); line(0, 2, 2, 0); line(2, 0, 0, 5); start('5', 3); line(0, 2, 0, 3); line(0, 5, 2, 0); arc(1, 1, 0, 1); arc(1, 2, 2, 1); line(2, 1, 0, 1); start('6', 3); line(0, 1, 0, 3); arc(1, 1, 0, 1); arc(1, 2, 2, 1); arc(1, 4, 2, 1); line(2, 1, 0, 1); start('7', 3); line(0, 0, 2, 5); line(0, 5, 2, 0); start('8', 3); line(0, 1, 0, 1); arc(1, 1, 0, 1); arc(1, 2, 2, 1); arc(1, 4, 0, 3); line(2, 1, 0, 1); start('9', 3); line(0, 3, 0, 1); arc(1, 1, 0, 1); arc(1, 3, 0, 1); arc(1, 4, 2, 1); line(2, 1, 0, 3); if (DO_PUNCTUATION) { start('@', 4); line(0, 1, 0, 3); line(1, 0, 1, 0); line(1, 5, 1, 0); arc(1, 1, 0, 0); arc(1, 4, 3, 0); arc(2, 4, 2, 0); arc(2, 2, 0, 3); line(3, 1, 0, 3); } if (DO_UPPERCASE) { start('A', 3); line(0, 0, 0, 4); line(0, 2, 2, 0); arc(1, 4, 2, 1); line(2, 0, 0, 4); start('B', 3); line(0, 0, 0, 5); line(0, 0, 1, 0); line(0, 3, 1, 0); line(0, 5, 1, 0); arc(1, 1, 1, 0); arc(1, 2, 2, 0); arc(1, 4, 1, 1); line(2, 1, 0, 1); start('C', 3); line(0, 1, 0, 3); arc(1, 1, 0, 1); arc(1, 4, 2, 1); start('D', 3); line(0, 0, 0, 5); line(0, 0, 1, 0); line(0, 5, 1, 0); arc(1, 1, 1, 0); arc(1, 4, 2, 0); line(2, 1, 0, 3); start('E', 3); line(0, 0, 0, 5); line(0, 0, 2, 0); line(0, 3, 1, 0); line(0, 5, 2, 0); start('F', 3); line(0, 0, 0, 5); line(0, 3, 1, 0); line(0, 5, 2, 0); start('G', 3); line(0, 1, 0, 3); arc(1, 1, 0, 1); line(1, 2, 1, 0); arc(1, 4, 2, 1); line(2, 0, 0, 2); start('H', 3); line(0, 0, 0, 5); line(0, 3, 2, 0); line(2, 0, 0, 5); start('I', 3); line(0, 0, 2, 0); line(0, 5, 2, 0); line(1, 0, 0, 5); start('J', 3); arc(1, 1, 0, 1); line(2, 1, 0, 4); start('K', 3); line(0, 0, 0, 5); line(0, 3, 2, 2); if (!NEGATE_X) { line(0, 3, 2, -3); } if (NEGATE_X) { line(2, 0, -2, 3); // was 2, 5 } start('L', 3); line(0, 0, 0, 5); line(0, 0, 2, 0); start('M', 5); line(0, 0, 0, 5); if (NEGATE_X) { line(2, 2, -2, 3); // was 2, 0 } else { line(0, 5, 2, -3); } line(2, 2, 2, 3); line(4, 0, 0, 5); start('N', 3); line(0, 0, 0, 5); if (NEGATE_X) { line(2, 0, -2, 5); } else { line(0, 5, 2, -5); } line(2, 0, 0, 5); start('O', 3); line(0, 1, 0, 3); arc(1, 1, 0, 1); arc(1, 4, 2, 1); line(2, 1, 0, 3); start('P', 3); line(0, 0, 0, 5); line(0, 2, 1, 0); line(0, 5, 1, 0); arc(1, 3, 1, 0); arc(1, 4, 2, 0); line(2, 3, 0, 1); start('Q', 3); line(0, 1, 0, 3); arc(1, 1, 0, 1); if (!NEGATE_X) { line(1, 1, 1, -1); } arc(1, 4, 2, 1); if (NEGATE_X) { line(2, 0, -1, 1); } line(2, 1, 0, 3); start('R', 3); line(0, 0, 0, 5); line(0, 2, 1, 0); line(0, 5, 1, 0); if (!NEGATE_X) { line(1, 2, 1, -2); } arc(1, 3, 1, 0); arc(1, 4, 2, 0); if (NEGATE_X) { line(2, 0, -1, 2); } line(2, 3, 0, 1); start('S', 3); if (!NEGATE_X) { line(0, 4, 2, -3); } arc(1, 1, 0, 1); arc(1, 4, 2, 1); if (NEGATE_X) { line(2, 1, -2, 3); } start('T', 3); line(0, 5, 2, 0); line(1, 0, 0, 5); start('U', 3); line(0, 1, 0, 4); arc(1, 1, 0, 1); line(2, 1, 0, 4); start('V', 3); if (!NEGATE_X) { line(0, 5, 1, -5); } if (NEGATE_X) { line(1, 0, -1, 5); } line(1, 0, 1, 5); start('W', 5); if (!NEGATE_X) { line(0, 5, 1, -5); } if (NEGATE_X) { line(1, 0, -1, 5); } line(1, 0, 1, 3); if (!NEGATE_X) { line(2, 3, 1, -3); } if (NEGATE_X) { line(3, 0, -1, 3); } line(3, 0, 1, 5); start('X', 3); line(0, 0, 2, 5); if (!NEGATE_X) { line(0, 5, 2, -5); } else { line(2, 0, -2, 5); } start('Y', 3); if (!NEGATE_X) { line(0, 5, 1, -3); } line(1, 0, 0, 2); if (NEGATE_X) { line(1, 2, -1, 3); } line(1, 2, 1, 3); start('Z', 3); line(0, 0, 2, 0); line(0, 0, 2, 5); line(0, 5, 2, 0); } start('a', 3); line(0, 3, 1, 0); arc(1, 1, 0, 3); arc(1, 2, 2, 0); line(2, 0, 0, 2); start('b', 3); line(0, 0, 0, 5); arc(1, 1, 0, 1); arc(1, 2, 2, 1); line(2, 1, 0, 1); start('c', 3); line(0, 1, 0, 1); arc(1, 1, 0, 1); arc(1, 2, 2, 1); start('d', 3); line(0, 1, 0, 1); arc(1, 1, 0, 1); arc(1, 2, 2, 1); line(2, 0, 0, 5); start('e', 3); line(0, 1, 0, 1); line(0, 2, 2, 0); arc(1, 1, 0, 1); arc(1, 2, 2, 1); start('f', 3); line(0, 3, 2, 0); line(1, 0, 0, 4); arc(2, 4, 3, 0); start('g', 3); line(0, 0, 1, 0); arc(1, 1, 1, 0); arc(1, 2, 0, 3); line(2, 1, 0, 2); start('h', 3); line(0, 0, 0, 5); arc(1, 2, 2, 1); line(2, 0, 0, 2); start('i', 1); line(0, 0, 0, 3); line(0, 4, 0, 0); start('j', 3); arc(1, 1, 0, 1); line(2, 1, 0, 2); line(2, 4, 0, 0); start('k', 3); line(0, 0, 0, 5); line(0, 2, 2, 1); if (NEGATE_X) { line(2, 0, -2, 2); } if (!NEGATE_X) { line(0, 2, 2, -2); } start('l', 1); line(0, 0, 0, 5); start('m', 5); line(0, 0, 0, 3); arc(1, 2, 2, 1); line(2, 0, 0, 2); arc(3, 2, 2, 1); line(4, 0, 0, 2); start('n', 3); line(0, 0, 0, 3); arc(1, 2, 2, 1); line(2, 0, 0, 2); start('o', 3); line(0, 1, 0, 1); arc(1, 1, 0, 1); arc(1, 2, 2, 1); line(2, 1, 0, 1); start('p', 3); line(0, 0, 0, 3); arc(1, 2, 0, 3); start('q', 3); arc(1, 2, 0, 3); line(2, 0, 0, 3); start('r', 3); line(0, 0, 0, 3); arc(1, 2, 2, 1); start('s', 3); if (!NEGATE_X) { line(0, 2, 2, -1); } arc(1, 1, 0, 1); arc(1, 2, 2, 1); if (NEGATE_X) { line(2, 1, -2, 1); } start('t', 3); line(0, 3, 2, 0); line(1, 1, 0, 4); arc(2, 1, 0, 0); start('u', 3); line(0, 1, 0, 2); arc(1, 1, 0, 1); line(2, 0, 0, 3); start('v', 3); if (!NEGATE_X) { line(0, 3, 1, -3); } line(1, 0, 1, 3); if (NEGATE_X) { line(1, 0, -1, 3); } start('w', 5); if (!NEGATE_X) { line(0, 3, 1, -3); } line(1, 0, 1, 2); if (NEGATE_X) { line(1, 0, -1, 3); } if (!NEGATE_X) { line(2, 2, 1, -2); } line(3, 0, 1, 3); if (NEGATE_X) { line(3, 0, -1, 2); } start('x', 3); line(0, 0, 2, 3); if (NEGATE_X) { line(2, 0, -2, 3); } if (!NEGATE_X) { line(0, 3, 2, -3); } start('y', 3); line(0, 0, 1, 0); line(0, 2, 0, 1); arc(1, 1, 1, 0); arc(1, 2, 0, 1); line(2, 1, 0, 2); start('z', 3); line(0, 0, 2, 0); line(0, 0, 2, 3); line(0, 3, 2, 0); } void decode() { std::ofstream ostr("test.svg"); ostr << "\n"; ostr << "\n"; ostr << "\n"; int print = 0; uint16 w = 0; uint16 scl = 10; uint16 ox = 1; uint16 oy = 6; int cnt = 0; cur = 0; ostr << " bmax) { if (c0 == SEP_2) { cur = buf[++i]; } else { --i; cur++; } ox += w; w = c1 - SEP_0; if (print) std::cout << "\nstart(" << cur << ", " << w << ")\n"; X_COORD = 0; if (cnt++ >= 13) { oy += 6; ox = 1; cnt = 0;} } else { uint16 x = (val >> X_COORD_SHIFT) & MASK(X_COORD_BITS); uint16 y = (val >> Y_COORD_SHIFT) & MASK(Y_COORD_BITS); uint16 op = (val >> OP_SHIFT) & MASK(OP_BITS); uint16 arg = (val >> ARG_SHIFT) & MASK(ARG_BITS); X_COORD += x; if (op == OP_LINE || op == OP_NLINE) { int ldx = ((arg >> LINE_DX_SHIFT) & MASK(LINE_DX_BITS)); int ldy = (arg >> LINE_DY_SHIFT) & MASK(LINE_DY_BITS); if (op == OP_NLINE) { if (NEGATE_X) { ldx *= -1; } else { ldy *= -1; } } if (print) std::cout << "line(" << X_COORD << ", " << y << ", " << ldx << ", " << ldy << ");\n"; ostr << "M " << scl*(ox+X_COORD) << " " << scl*(oy-y) << " l " << scl*ldx << " " << -scl*ldy << " "; } else if (op == OP_ARC) { uint16 a0 = (arg >> ARC_A0_SHIFT) & MASK(ARC_A0_BITS); uint16 a1 = (arg >> ARC_A1_SHIFT) & MASK(ARC_A1_BITS); if (print) std::cout << "arc(" << X_COORD << ", " << y << ", " << a0 << ", " << a1 << ");\n"; float t0 = -M_PI+a0*M_PI/2; float t1 = t0 + (a1+1)*M_PI/2; float cx = scl*(ox+X_COORD); float cy = scl*(oy-y); for (float f=t0; f\n"; ostr << "\n"; } void usage() { std::cout << "usage: encode -random\n"; std::cout << " or: encode -final\n"; exit(1); } int main(int argc, char** argv) { if (argc != 2) { usage(); } std::string arg(argv[1]); bool randomize; if (arg == "-random") { randomize = true; } else if (arg == "-final") { randomize = false; } else { usage(); } srand(time(NULL)); size_t best(-1); bool was_good = false; for (int i=0; i<100000; ++i) { if (randomize) { permute_shifts(); } encode(); bool this_good = (bmin > SEP_1); if (!this_good) { continue; } std::string dstr = stringify(); std::string vstr = stringvars(); size_t len = dstr.length() + vstr.length(); if (this_good && (!was_good || len < best)) { was_good = true; best = len; if (shifts.size()) { std::cerr << "layout (LSB first):\n"; size_t start = 0; for (size_t i=0; i #include #include typedef int i; typedef float f; typedef unsigned char u; f M = 100; f L = 1e-4; f R = 0.4; struct v { f x,y,z; v() {} v (f a, f b, f c=0): x(a),y(b),z(c) {} v operator*(f s) { return v(x*s,y*s,z*s); } f operator%(v r) { return x*r.x+y*r.y+z*r.z; } v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } v operator-(v r) { return v(x-r.x,y-r.y,z-r.z); } v operator!() { return *this*(1/~(*this)); } f operator~() { return sqrt(+(*this)); } f operator+() { return *this%*this; } }; struct hit { v p, pc; f d2; hit(v P): p(P), pc(P+v(2*M*M,0)), d2(2*M*M) {} f operator()(v pn) { f d2n = +(p-pn); if (d2n < d2) { pc=pn; d2=d2n; } return d2; } }; v fa(f t) { return v(cos(t),sin(t),0); } f min(f a, f b) { return ab?a:b; } f c01(f a) { return min(max(a,0),1); } v lerp(v a, v b, f u) { return a*(1-u)+b*u; } v c01(v x) { return v(c01(x.x),c01(x.y),c01(x.z)); } i fi(f c) { return c01(c)*255; } v black(0,0,0); v white(1,1,1); template float T(v o, v d, D& k, v& pi, v& n) { pi=o; f u=0; f l0=k(pi, 0); for (i c=0;u b) ? fa(b) : q)) * r); } } f seg(v a,v b,hit& h) { f l = +(b-a); f u = l?-((a-h.p)%(b-a))/l:0; return h((u<0)?a:((u>1)?b:lerp(a,b,u))); } f seg(f x,f y,f dx,f dy,hit& h) { return seg(v(x,y),v(x,y)+v(dx,dy),h); } f dst(v p, v* nn) { hit h(p); i data[] = { 0x40426040, 0x24824044, 0xe38d2486, 0x814a6048, 0x42966329, 0x632d814e, 0x6031429e, 0x60716331, 0 }; for (u* c=(u*)data; *c; c+=2) { i o = c[0]>>5; f x = c[0]&31; f y = c[1]&31; i l = c[1]>>5; (o>=1&&o<=3)?seg(x,y,l*(o!=2),l*(o!=1),h): (o==4)?arc(v(x/2,y/2),1+0.5*(l>>2),-M_PI*((l>>1)&1),M_PI*(l&1),h):0; } if (nn) { *nn = !(p-h.pc); } return sqrt(h.d2)-R; } f dst0(v p) { return dst(p, 0); } v light(v c, v n, v l, v d) { f nl = max(n%l,0); v h = !(l-d); f nh = max(n%h,0); return c01(lerp(c*0.25, c, nl) + white*pow(nh,120)); } int main(int argc, char** argv) { v o(10,2,30); i nx=480; i ny=180; f dx=24.0/nx; v pi,n; v l = !v(-1,2,1); printf("P3 %d %d 255\n", nx, ny); for (i y=0; y #include #define op operator #define ret return typedef int i; typedef float f; typedef unsigned char u; f M=80; f L=1e-4; f R=.4; struct v { f x,y,z; v() {} v (f a, f b, f c=0): x(a),y(b),z(c) {} v operator*(f s) { return v(x*s,y*s,z*s); } f operator%(v r) { return x*r.x+y*r.y+z*r.z; } v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } v operator-(v r) { return v(x-r.x,y-r.y,z-r.z); } v operator!() { return *this*(1/~(*this)); } f operator~() { return sqrt(+(*this)); } f operator+() { return *this%*this; } }; struct q { v p,pc; f d; q(v P): p(P), pc(P+v(2e2,0)), d(4e4) {} f operator()(v pn) { f dn=+(p-pn); if(dnb?a:b; } f c01(f a) { return a>1?1:max(a,0); } v le(v a, v b, f u) { return a*(1-u)+b*u; } v c01(v x) { return v(c01(x.x),c01(x.y),c01(x.z)); } i fi(f c) { return c01(c)*255; } v black(0,0,0); v white(1,1,1); f a(v c,f r,f a,f b,q& h) { v d=v(h.p.x,h.p.y)-c; if (~db)?fa(b):d))*r); } } f s(f x,f y,f dx,f dy,q& h) { v a(x,y); v d(dx,dy); f l=+d; f u=c01((h.p-a)%d/l); return h(a+d*u); } f dst(v p, v* nn=0) { q h(p); i d[] = { 0x40426040,0x24824044,0xe38d2486,0x814a6048, 0x42966329,0x632d814e,0x6031429e,0x60716331, 0 }; for (u* c=(u*)d;*c;c+=2) { i o=c[0]>>5; f x=c[0]&31; f y=c[1]&31; i l=c[1]>>5; (o>=1&&o<=3)?s(x,y,l*(o!=2),l*(o!=1),h): (o==4)?a(v(x/2,y/2),1+.5*(l>>2), -M_PI*((l>>1)&1),M_PI*(l&1),h):0; } if (nn){*nn=!(p-h.pc);} return sqrt(h.d)-R; } f T(v o, v d, v& pi, v& n) { pi=o; f u=0; f l0=dst(pi); for (i c=0;u #include #define op operator #define ret return typedef int i; typedef float f; typedef unsigned char u; f M=80; f L=1e-4; f R=.4; struct v { f x,y,z; v() {} v (f a, f b, f c=0): x(a),y(b),z(c) {} v operator*(f s) { return v(x*s,y*s,z*s); } f operator%(v r) { return x*r.x+y*r.y+z*r.z; } v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } v operator-(v r) { return *this+r*-1; } v operator!() { return *this*(1/~(*this)); } f operator~() { return sqrt(*this%*this); } }; struct q { v p,c; f d; q(v P): p(P), c(P+v(2e2,0)), d(4e4) {} f operator()(v n) { f e=(p-n)%(p-n); if(eb)?A(b):d))*r); } } f s(f x,f y,f s,f t,q& h) { v a(x,y); v d(s,t); f u=(h.p-a)%d/(d%d); return h(a+d*(u<0?0:u>1?1:u)); } f dst(v p, v* n=0) { q h(p); i d[] = { 1078091840, 612515908, -477289338, -2125832120, 1117152041, 1663926606, 1613841054, 1618043697, 0 }; for (u* c=(u*)d;*c;c+=2) { i o=c[0]>>5; f x=c[0]&31; f y=c[1]&31; i l=c[1]>>5; (o>=1&&o<=3)?s(x,y,l*(o!=2),l*(o!=1),h): (o==4)?a(v(x/2,y/2),1+.5*(l>>2), -M_PI*((l/2)&1),M_PI*(l&1),h):0; } if (n){*n=!(p-h.c);} return sqrt(h.d)-R; } v T(v o, v d) { v pi=o; f u=0; f l0=dst(pi); for (i c=0;u #include #define O operator #define E return typedef int i; typedef float f; typedef unsigned char u; f M=50, // maximum distance we care about in sphere tracing L=1e-4, // minimum distance tolerance R=.4; // radius of letters in "mattz" // vector struct struct v { f x,y,z; v() {} v (f a, f b, f c=0): x(a),y(b),z(c) {} v operator*(f s) { return v(x*s,y*s,z*s); } f operator%(v r) { return x*r.x+y*r.y+z*r.z; } v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } v operator-(v r) { return *this+r*-1; } v operator!() { return *this*(1/~(*this)); } f operator~() { return sqrt(*this%*this); } }; // hit query struct for successive distance queries struct q { v p, c; // p: world point and c: closest in geometry f d; // d: squared distance from p to c // construct with large distance q(v P): p(P), c(P+v(2e2,0)), d(4e4) {} // see if new point n is closer to p than current point c // and modify distances if so void operator()(v n) { f e= (p-n)%(p-n); if (eb)?A(b):d))*r); // return point on circle } } // test distance from point h.p to a line segment going from (x,y) to // (x+s,y+t) (z=0). i S(f x,f y,f s,f t,q& h) { v a(x,y), d(s,t); f u=(h.p-a)%d/(d%d); h(a+d*(u<0?0:u>1?1:u)); } // test distance from point p to the text "mattz" f D(v p, v* n=0) { // initialize our distance query q h(p); // encode "mattz" as bytecodes i d[] = { 1078091840, 612515908, -477289338, -2125832120, 1117152041, 1663926606, 1613841054, 1618043697, 0 }; // interpret bytecodes for (u* c=(u*)d;*c;c+=2) { i o=c[0]>>5, l=c[1]>>5; f x=c[0]&31, y=c[1]&31, r=M_PI; (o>=1&&o<=3)?S(x,y,l*(o&1),l*(o&2)/2,h): (o&4)?C(x/2,y/2,1+.5*(l/4), -r*((l&2)/2),r*(l&1),h):0; } // if we were asked for a normal, spit it out if (n){*n=!(p-h.c);} // return the distance return sqrt(h.d)-R; } v T(v o, v d) { v p=o; f u=0, l=D(p); while (u #include #define O operator #define E return typedef int i; typedef float f; typedef unsigned char u; f M=50, // maximum distance we care about in sphere tracing L=1e-4, // minimum distance tolerance R=.4; // radius of letters // vector struct struct v { f x,y,z; v (f a=0, f b=0, f c=0): x(a),y(b),z(c) {} v operator*(f s) { return v(x*s,y*s,z*s); } f operator%(v r) { return x*r.x+y*r.y+z*r.z; } v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } v operator-(v r) { return *this+r*-1; } v operator!() { return *this*(1/~(*this)); } f operator~() { return sqrt(*this%*this); } }; v K(-1,.5,1), // light position W(1,1,1), B; // hit query struct for successive distance queries struct q { v p, c; // p: world point and c: closest in geometry f d; // d: squared distance from p to c // construct with large distance q(v P): p(P), c(P+v(2e2,0)), d(4e4) {} // see if new point n is closer to p than current point c // and modify distances if so i operator()(v n) { f e= (p-n)%(p-n); if (e1?1:a; } v X(v a, v b, f u) { return a*(1-u)+b*u; } // construct a unit vector with given angle v A(f t) { return v(cos(t),sin(t)); } // test distance from point h.p to a circular arc centered at point x, // y, (z=0) with radius r and angle range given by a & b i C(f x, f y, f r, f a, f b, q& h) { v c(x,y); // center of circle v d=v(h.p.x,h.p.y)-c; // vector from projection of point p onto z=0 // plane to center of circle if (~db)?A(b):d)*r); // return point on circle } } // test distance from point h.p to a line segment going from (x,y) to // (x+s,y+t) (z=0). i S(f x,f y,f s,f t,q& h) { v a(x,y), d(s,t); f u=(h.p-a)%d/(d%d); h(a+d*U(u)); } // test distance from point p to the text "mattz" f D(v p, v& n) { // initialize our distance query q h(p); // encode "mattz" as bytecodes i d[] = { 1078091840, 612515908, -477289338, -2125832120, 1117152041, 1663926606, 1613841054, 1618043697, 0 }; // interpret bytecodes by calling S() and C() with the appropriate // parameters for (u* c=(u*)d;*c;c+=2) { i o=c[0]>>5, a=c[1]>>5; // o: opcode in 0..7, a: arguments in 0..7 f x=c[0]&31, y=c[1]&31, r=M_PI; // x,y are position in 0..31 (o>=1&&o<=3) ? S(x,y,a*(o&1),a*(o&2)/2,h) : // line segments are // opcode 1 2 or 3: 1 // is horiz, 2 is // vert, 3 is diag; a // encodes length (o&4)?C(x/2,y/2,1+.5*(a/4), // circles are opcode 4. radius is // given by highest bit of a. start // and end angles given by lowest // bits of a. -r*(a&2)/2,r*(a&1),h):0; } // if we were asked for a normal, spit it out n=!(p-h.c); // return the distance return sqrt(h.d)-R; } v I(v c, v n, v d) { return X(c*(.7*U(n%K)+.3),W,pow(U(n%!(K-d)),40)); } // do our raytracing from ray origin o in direction d v T(v o, v d) { ////////////////////////////////////////////////// // first do the sphere tracing for letters v n; // normal at hit f u=0, l=0; // u tracks distance along ray, l tracks distance while (u #include #define O operator #define E return typedef int i; typedef float f; typedef unsigned char u; // vector struct struct v { f x,y,z; v (f a=0, f b=0, f c=0): x(a),y(b),z(c) {} v operator*(f s) { return v(x*s,y*s,z*s); } f operator%(v r) { return x*r.x+y*r.y+z*r.z; } v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } v operator-(v r) { return *this+r*-1; } v operator!() { return *this*(1/~(*this)); } f operator~() { return sqrt(*this%*this); } } L(-1,.5,1), W(1,1,1), B; // hit query struct for successive distance queries struct q { v p, c; // p: world point and c: closest in geometry f d; // d: squared distance from p to c // construct with large distance q(v P): p(P), d(9e9) {} // see if new point n is closer to p than current point c // and modify distances if so i operator()(v n) { f e= (p-n)%(p-n); if (e1?1:a; } //v M(v a, v b, f u) { return a*(1-u)+b*u; } //v I(v c, v n, v d) { return M(c*(.7*U(n%L)+.3),W,pow(U(n%!(L-d)),40)); } // test distance from point h.p to a circular arc centered at point x, // y, (z=0) with radius r and angle range given by a & b i C(f x, f y, f r, f a, f b, q& h) { v d(h.p.x-x,h.p.y-y); f t = ~d<1e-4?a:atan2(d.y,d.x); t = tb?b:t; h(v(x+r*cos(t),y+r*sin(t))); } // test distance from point h.p to a line segment going from (x,y) to // (x+s,y+t) (z=0). i S(f x,f y,f s,f t,q& h) { v a(x,y), d(s,t); f u=(h.p-a)%d/(d%d); h(a+d*U(u)); } // test distance from point p to the text "mattz" f D(v p, v& n) { // initialize our distance query q h(p); // encode "mattz" as bytecodes i d[] = { 1078091840, 612515908, -477289338, -2125832120, 1117152041, 1663926606, 1613841054, 1618043697, 0 }; // interpret bytecodes by calling S() and C() with the appropriate // parameters for (u* c=(u*)d;*c;c+=2) { i o=c[0]>>5, a=c[1]>>5; // o: opcode in 0..7, a: arguments in 0..7 f x=c[0]&31, y=c[1]&31, r=M_PI; // x,y are position in 0..31 (o<4) ? S(x,y,a*(o&1),a*(o&2)/2,h) : (o&4)?C(x/2,y/2,1+.5*(a/4),-r*(a&2)/2,r*(a&1),h):0; } // if we were asked for a normal, spit it out n=!(p-h.c); // return the distance return sqrt(h.d)-.4; } // do our raytracing from ray origin o in direction d v T(v o, v d) { ////////////////////////////////////////////////// // first do the sphere tracing for letters v n; // normal at hit f u=0, l=0; // u tracks distance along ray, l tracks distance while (u<50) { if (fabs(l=D(o+d*(u+=.9*l),n))<1e-4){ f s = pow(U(n%!(L-d)),40); return v(1)*(.7*U(n%L)+.3)*(1-s)+W*s; } } return B; } i main() { v o(10,2,30); // camera i w=720, h=270, x, y=-1; f s=24.0/w; // disp on pixel plane printf("P6 %d %d 255\n", w, h); while (++y #include #include #define O operator #define E return typedef int i; typedef float f; typedef unsigned char u; // vector struct struct v { f x,y,z; v (f a=0, f b=0, f c=0): x(a),y(b),z(c) {} v operator*(f s) { return v(x*s,y*s,z*s); } f operator%(v r) { return x*r.x+y*r.y+z*r.z; } v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } v operator-(v r) { return *this+r*-1; } v operator!() { return *this*(1/~(*this)); } f operator~() { return sqrt(*this%*this); } } L(!v(-.5,2,4)), W(1,1,1), B; // hit query struct for successive distance queries struct q { v p, c; // p: world point and c: closest in geometry f d; // d: distance from p to c // construct with large distance q(v P): p(P), d(9e9) {} // see if new point n is closer to p than current point c // and modify distances if so i operator()(v n) { f e= ~(p-n); if (e1?1:a; } // test distance from point h.p to a circular arc centered at point x, // y, (z=0) with radius r and angle range given by a & b i C(f x, f y, f r, f a, f b, q& h) { v d(h.p.x-x,h.p.y-y); f t = ~d<1e-4?a:atan2(d.y,d.x); t = tb?b:t; h(v(x+r*cos(t),y+r*sin(t))); } // test distance from point h.p to a line segment going from (x,y) to // (x+s,y+t) (z=0). i S(f x,f y,f s,f t,q& h) { v a(x,y), d(s,t); f u=(h.p-a)%d/(d%d); h(a+d*U(u)); } i P(v n, f d, q& h) { h(h.p-n*(h.p%n-d)); } // test distance from point p to the text "mattz" f D(v p, v& n) { // initialize our distance query q h(p); // encode "mattz" as bytecodes i d[] = { 1078091840, 612515908, -477289338, -2125832120, 1117152041, 1663926606, 1613841054, 1618043697, 0 }; // interpret bytecodes by calling S() and C() with the appropriate // parameters for (u* c=(u*)d;*c;c+=2) { i o=c[0]>>5, a=c[1]>>5; // o: opcode in 0..7, a: arguments in 0..7 f x=c[0]&31, y=c[1]&31, r=M_PI; // x,y are position in 0..31 (o<4) ? S(x,y,a*(o&1),a*(o&2)/2,h) : (o&4) ? C(x/2,y/2,1+.5*(a/4),-r*(a&2)/2,r*(a&1),h) : 0; } P(v(0,0,1),-.9,h); P(v(0,1,0),-.9,h); // if we were asked for a normal, spit it out n=!(p-h.c); // return the distance return h.d-.45; } // do our raytracing from ray origin o in direction d f T(v o, v d) { ////////////////////////////////////////////////// // first do the sphere tracing for letters f u=0, l=0; // u is dist along ray, l is dist to obj v n; while (u<50) if (fabs(l=D(o+d*(u+=.9*l),n))<1e-4){ f s=pow(U(n%!(L-d)),40); f w=(.3*U(n%L)+.65)*(1-s)+s; // do ambient occlusion pass f c=0, i=1, a=1, e=.15, k=.9; v h=o+d*u, g; while (++c<6) { f p=e*c; a -= .9*(p-D(h+n*p,g))*(i/=2); } return w*a; } ////////////////////////////////////////////////// return 0; } i main() { v o(10,2,30); // camera i w=720, h=270, x, y=-1; //i w=240, h=90, x, y=-1; //i w=360, h=135, x, y=-1; f s=24.0/w, t; // disp on pixel plane printf("P5 %d %d 255\n", w, h); while (++y #include #include #define O operator #define E return typedef int i; typedef float f; typedef unsigned char u; // vector struct struct v { f x,y,z; v (f a=0, f b=0, f c=0): x(a),y(b),z(c) {} v operator*(f s) { return v(x*s,y*s,z*s); } f operator%(v r) { return x*r.x+y*r.y+z*r.z; } v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } v operator-(v r) { return *this+r*-1; } v operator!() { return *this*(1/~(*this)); } f operator~() { return sqrt(*this%*this); } } L(!v(-.5,2,4)), W(1,1,1), B; // hit query struct for successive distance queries struct q { v p, c; // p: world point and c: closest in geometry f d; // d: distance from p to c // construct with large distance q(v P): p(P), d(9e9) {} // see if new point n is closer to p than current point c // and modify distances if so i operator()(v n) { f e= ~(p-n); if (e1?1:a; } // test distance from point h.p to a circular arc centered at point x, // y, (z=0) with radius r and angle range given by a & b i C(f x, f y, f r, f a, f b, q& h) { f t = atan2(h.p.y-y,h.p.x-x); t = tb?b:t; h(v(x+r*cos(t),y+r*sin(t))); } // test distance from point h.p to a line segment going from (x,y) to // (x+s,y+t) (z=0). i S(f x,f y,f s,f t,q& h) { v a(x,y), d(s,t); f u=(h.p-a)%d/(d%d); h(a+d*U(u)); } i P(v n, q& h) { h(h.p-n*(h.p%n+.9)); } // test distance from point p to the text "mattz" f D(v p, v& n) { // initialize our distance query q h(p); // encode "mattz" as bytecodes i d[] = { 1078091840, 612515908, -477289338, -2125832120, 1117152041, 1663926606, 1613841054, 1618043697, 0 }; // interpret bytecodes by calling S() and C() with the appropriate // parameters for (u* c=(u*)d;*c;c+=2) { i o=c[0]>>5, a=c[1]>>5; // o: opcode in 0..7, a: arguments in 0..7 f x=c[0]&31, y=c[1]&31, r=M_PI; // x,y are position in 0..31 (o<4) ? S(x,y,a*(o&1),a*(o&2)/2,h) : (o&4) ? C(x/2,y/2,1+.5*(a/4),-r*(a&2)/2,r*(a&1),h) : 0; } P(v(0,0,1),h); P(v(0,1,0),h); // if we were asked for a normal, spit it out n=!(p-h.c); // return the distance return h.d-.45; } // do our raytracing from ray origin o in direction d f T(v o, v d) { ////////////////////////////////////////////////// // first do the sphere tracing for letters f u=0, l=0; // u is dist along ray, l is dist to obj v n; while (u<50) if (fabs(l=D(o+d*(u+=.9*l),n))<1e-4){ // do ambient occlusion pass f c=0, a=1, s=pow(U(n%!(L-d)),40); o=o+d*u; while (++c<6) { a -= .8*(.2*c-D(o+n*.2*c,d))/pow(2,c); } return ((.3*U(n%L)+.65)*(1-s)+s)*a; } ////////////////////////////////////////////////// return 0; } i main() { v o(10,2,30); // camera i w=720, h=270, x, y=-1; //i w=240, h=90, x, y=-1; //i w=360, h=135, x, y=-1; f s=24.0/w, t; // disp on pixel plane printf("P5 %d %d 255\n", w, h); while (++y #include #include #define O operator #define E return typedef int i; typedef float f; typedef unsigned char u; // vector struct struct v { f x,y,z; v (f a=0, f b=0, f c=0): x(a),y(b),z(c) {} v operator*(f s) { return v(x*s,y*s,z*s); } f operator%(v r) { return x*r.x+y*r.y+z*r.z; } v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } v operator-(v r) { return *this+r*-1; } v operator!() { return *this*(1/~(*this)); } f operator~() { return sqrt(*this%*this); } //v operator^(v r) { return v(y*r.z-z*r.y,x*r.z-z*r.x,x*r.y-y*r.x); } } L(!v(-1,1,2)), W(1,1,1), B; // hit query struct for successive distance queries struct q { v p, c; // p: world point and c: closest in geometry f d; // d: distance from p to c // construct with large distance q(v P): p(P), d(9e9) {} // see if new point n is closer to p than current point c // and modify distances if so i operator()(v n) { f e= ~(p-n); if (e1?1:a; } // test distance from point h.p to a circular arc centered at point x, // y, (z=0) with radius r and angle range given by a & b i C(f x, f y, f r, f a, f b, q& h) { f t = atan2(h.p.y-y,h.p.x-x); t = tb?b:t; h(v(x+r*cos(t),y+r*sin(t))); } // test distance from point h.p to a line segment going from (x,y) to // (x+s,y+t) (z=0). i S(f x,f y,f s,f t,q& h) { v a(x,y), d(s,t); f u=(h.p-a)%d/(d%d); h(a+d*U(u)); } i P(v n, q& h) { h(h.p-n*(h.p%n+.9)); } // test distance from point p to the text "mattz" f D(v p, v& n) { // initialize our distance query q h(p); // encode "mattz" as bytecodes i d[] = { 1078091840, 612515908, -477289338, -2125832120, 1117152041, 1663926606, 1613841054, 1618043697, 0 }; // interpret bytecodes by calling S() and C() with the appropriate // parameters for (u* c=(u*)d;*c;c+=2) { i o=c[0]>>5, a=c[1]>>5; // o: opcode in 0..7, a: arguments in 0..7 f x=c[0]&31, y=c[1]&31, r=M_PI; // x,y are position in 0..31 (o<4) ? S(x,y,a*(o&1),a*(o&2)/2,h) : (o&4) ? C(x/2,y/2,1+.5*(a/4),-r*(a&2)/2,r*(a&1),h) : 0; } P(v(0,0,1),h); P(v(0,1,0),h); // if we were asked for a normal, spit it out n=!(p-h.c); // return the distance return h.d-.45; } // do our raytracing from ray origin o in direction d f T(v o, v d) { ////////////////////////////////////////////////// // first do the sphere tracing for letters f u=0, l=0; // u is dist along ray, l is dist to obj v n; while (u<50) if (fabs(l=D(o+d*(u+=.9*l),n))<1e-4){ // do ambient occlusion pass f c=0, a=1, s=pow(U(n%!(L-d)),40); o=o+d*u; while (++c<6) { a -= .8*(.2*c-D(o+n*.2*c,d))/pow(2,c); } return ((.3*U(n%L)+.65)*(1-s)+s)*a; } ////////////////////////////////////////////////// return 0; } i main() { v c(-2,4,25), z(c-v(8.25,2)), x=!v(5,0,2), y=!v(-2,73,.5); //v c(-2,4,25), z(c-v(8.25,2)), x=v(0,1)^z, y=x^z; //fprintf(stderr, "x=%f,%f,%f\n", x.x, x.y, x.z); x=!x; //fprintf(stderr, "y=%f,%f,%f\n", y.x, y.y, y.z); y=!y; i w=600, h=220, s, t=-1; //i w=300, h=110, s, t=-1; f p=20.0/w; printf("P5 %d %d 255\n", w, h); while (++t #include #define O operator #define E return typedef float f; // vector struct struct v { f x,y,z; v (f a=0, f b=0, f c=0): x(a),y(b),z(c) {} v operator*(f s) { return v(x*s,y*s,z*s); } f operator%(v r) { return x*r.x+y*r.y+z*r.z; } v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } v operator-(v r) { return *this+r*-1; } v operator!() { return *this*(1/~(*this)); } f operator~() { return sqrt(*this%*this); } //v operator^(v r) { return v(y*r.z-z*r.y,x*r.z-z*r.x,x*r.y-y*r.x); } } L(!v(-1,1,2)); typedef unsigned char u; typedef int i; // hit query struct for successive distance queries struct q: v { // *this stores point being queried v c; // c: closest in geometry f d; // d: distance from p to c // construct with large distance q(v P): v(P), d(99) {} // see if new point n is closer to p than current point c // and modify distances if so i operator()(v n) { f e= ~(*this-n); if (e1?1:a; } // test distance from point h to a circular arc centered at point x, // y, (z=0) with radius r and angle range given by a & b i C(f x, f y, f r, f a, f b, q& h) { f t = atan2(h.y-y,h.x-x); t = tb?b:t; h(v(x+r*cos(t),y+r*sin(t))); } // test distance from point h to a line segment going from (x,y) to // (x+s,y+t) (z=0). i S(f x,f y,f s,f t,q& h) { v a(x,y), d(s,t); f u=(h-a)%d/(d%d); h(a+d*U(u)); } i P(v n, q& h) { h(h-n*(h%n+.9)); } // test distance from point p to the text "mattz" f D(v p, v& n) { // initialize our distance query q h(p); // encode "mattz" as bytecodes u d[] = "@`B@D@\x82$\x86$\x8d\xe3H`J\x81)c\x96""BN\x81-c\x9e""B1`1cq`"; // interpret bytecodes by calling S() and C() with the appropriate // parameters for (u* c=d;*c;c+=2) { i o=c[0]>>5, a=c[1]>>5; // o: opcode in 0..7, a: arguments in 0..7 f x=c[0]&31, y=c[1]&31, r=M_PI; // x,y are position in 0..31 (o<4) ? S(x,y,a*(o&1),a*(o&2)/2,h) : C(x/2,y/2,1+.5*(a/4),-r*(a&2)/2,r*(a&1),h); } P(v(0,0,1),h); P(v(0,1),h); // if we were asked for a normal, spit it out n=!(p-h.c); // return the distance return h.d-.45; } // do our raytracing from ray origin o in direction d f T(v o, v d) { ////////////////////////////////////////////////// // first do the sphere tracing for letters f u=0, l=0; // u is dist along ray, l is dist to obj v n; while (u<50) if (fabs(l=D(o+d*(u+=.9*l),n))<1e-4){ // do ambient occlusion pass f c=0, a=1, s=pow(U(n%!(L-d)),80); o=o+d*u; while (++c<6) { a -= .8*(.2*c-D(o+n*.2*c,d))/pow(2,c); } return ((.3*U(n%L)+.65)*(1-s)+s)*a; } ////////////////////////////////////////////////// return 0; } i main() { //v c(-2,4,25), z(c-v(8.25,2)), x=v(0,1)^z, y=x^z; //fprintf(stderr, "x=%f,%f,%f\n", x.x, x.y, x.z); x=!x; //fprintf(stderr, "y=%f,%f,%f\n", y.x, y.y, y.z); y=!y; i t=-1; puts("P5 600 220 255"); while (++t<220) for (i s=0;s<600;++s) { putchar(255*T(v(-2,4,25), !(!v(5,0,2)*(s-300)*.034 - !v(-2,73)*(t-110)*.034 + v(10.25,-2,-25)))); } } ================================================ FILE: src/miniray_1.4.cpp ================================================ #include #include #define O operator #define E return typedef float f; // vector struct struct v { f x,y,z; v (f a=0, f b=0, f c=0): x(a),y(b),z(c) {} v operator*(f s) { return v(x*s,y*s,z*s); } f operator%(v r) { return x*r.x+y*r.y+z*r.z; } v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } v operator-(v r) { return *this+r*-1; } v operator!() { return *this*(1/~*this); } f operator~() { return sqrt(*this%*this); } //v operator^(v r) { return v(y*r.z-z*r.y,x*r.z-z*r.x,x*r.y-y*r.x); } } L(!v(-1,1,2)); typedef unsigned char u; typedef int i; // hit query struct for successive distance queries struct q: v { // *this stores point being queried v c; // c: closest in geometry f d; // d: distance from p to c // construct with large distance q(v P): v(P), d(99) {} // see if new point n is closer to p than current point c // and modify distances if so i operator()(v n) { f e= ~(*this-n); if (e1?1:a; } // test distance from point h to a circular arc centered at point x, // y, (z=0) with radius r and angle range given by a & b //i C(f x, f y, f r, f a, f b, q& h) { // f t = atan2(h.y-y,h.x-x); // t = tb?b:t; // h(v(x+r*cos(t),y+r*sin(t))); //} // test distance from point h to a line segment going from (x,y) to // (x+s,y+t) (z=0). //i S(f x,f y,f s,f t,q& h) { //v a(x,y), d(s,t); // h(a+d*U((h-a)%d/(d%d))); //} //i P(v n, q& h) { h(h-n*(h%n+.9)); } // test distance from point p to the text "mattz" f D(v p, v& n) { // initialize our distance query q h(p); // encode "mattz" as bytecodes u d[] = "`@@B@D$\x82$\x86\xe3\x8d`H\x81Jc)B\x96\x81Nc-B\x9e`1c1`q"; // interpret bytecodes by calling S() and C() with the appropriate // parameters for (u* c=d;*c;c+=2) { i o=c[1]>>5, a=*c>>5; // o: opcode in 0..7, a: arguments in 0..7 f x=c[1]&31, y=*c&31; // x,y are position in 0..31 //(o<4) ? S(x,y,a*(o&1),a*(o&2)/2,h) : //C(x/2,y/2,1+.5*(a/4),-r*(a&2)/2,r*(a&1),h); if (o<4) { v k(x,y), d(a*(o&1),a*(o&2)/2); h(k+d*U((h-k)%d/(d%d))); } else { f P=M_PI, l=-P*(a&2)/2, u=P*(a&1), r=1+.5*(a/4), t=atan2(h.y-y/2,h.x-x/2); t = tu?u:t; h(v(x/2+r*cos(t),y/2+r*sin(t))); //C(x/2,y/2,1+.5*(a/4),-r*(a&2)/2,r*(a&1),h); } } n=v(0,0,1); h(h-n*(h%n+.9)); n=v(0,1); h(h-n*(h%n+.9)); //P(v(0,0,1),h); //P(v(0,1),h); // spit out the normal n=!(p-h.c); // return the distance return h.d-.45; } // do our raytracing from ray origin o in direction d f T(v o, v d) { ////////////////////////////////////////////////// // first do the sphere tracing for letters f u=0, l=0; // u is dist along ray, l is dist to obj v n; while (u<50) if (fabs(l=D(o+d*(u+=.9*l),n))<1e-4){ // do ambient occlusion pass f c=0, a=1, s=pow(U(n%!(L-d)),80); o=o+d*u; while (++c<6) a -= .8*(.2*c-D(o+n*.2*c,d))/pow(2,c); return ((.3*U(n%L)+.65)*(1-s)+s)*a; } ////////////////////////////////////////////////// return 0; } i main() { //v c(-2,4,25), z(c-v(8.25,2)), x=v(0,1)^z, y=x^z; //fprintf(stderr, "x=%f,%f,%f\n", x.x, x.y, x.z); x=!x; //fprintf(stderr, "y=%f,%f,%f\n", y.x, y.y, y.z); y=!y; i t=-111; puts("P5 600 220 255"); while (++t<110) for (i s=-300;s<300;++s) { putchar(255*T(v(-2,4,25), !((!v(5,0,2)*s - !v(-2,73)*t)*.034 + v(10.25,-2,-25)))); } } ================================================ FILE: src/miniray_1.4_commented.cpp ================================================ ////////////////////////////////////////////////////////////////////// // This is the "verbose" version of an obfuscated business card // sized raytracer. // // Compile this with full optimization and pipe the output to a file // named "mattz.pgm" #include #include #define O operator #define E return // Start by saving some space: typedef float f; typedef unsigned char u; typedef int i; ////////////////////////////////////////////////////////////////////// // A basic vector class. Note all vector operations are overloaded // single character operators -- no "named" methods. Thanks, Bjarne! struct v { // Just hold x,y,z. f x,y,z; // Construct with 1, 2, or 3 elements v (f a=0, f b=0, f c=0): x(a),y(b),z(c) {} // Multiplication by scalar. v operator*(f s) { return v(x*s,y*s,z*s); } // Dot product f operator%(v r) { return x*r.x+y*r.y+z*r.z; } // Vector addition v operator+(v r) { return v(x+r.x,y+r.y,z+r.z); } // Vector subtraction (defined in terms of multiplication by -1 and // addition to save space). v operator-(v r) { return *this+r*-1; } // Return a normalized version of this vector. v operator!() { return *this*(1/~*this); } // Return the length of this vector. f operator~() { return sqrt(*this%*this); } } // The vector L holds the light direction in world space. Yes, you // can declare a variable in the same statement as a class // declaration. L(!v(-1,1,2)); ////////////////////////////////////////////////////////////////////// // A structure for distance queries that derives from the vector // class. Given an arbitrary point in the world, store the closest // point in the scene geometry, along with the distance from world // point to scene point. This structure is updated several times // as we test distances to various scene primitives. // // The underlying vector (base class) stores the arbitrary world // point. struct q: v { // Closest point in scene geometry v c; // Distance from world point to scene point f d; // Construct with a sufficiently large distance. q(v P): v(P), d(99) {} // Check to see if point n in the scene geometry is closer than // current closest point c. If so, set c and d. // // It's fewer characters to return an int than a void, so we take // the hit and don't return anything from this method (generates // a warning in g++, oh well). i operator()(v n) { f e= ~(*this-n); if (e1?1:a; } ////////////////////////////////////////////////////////////////////// // Test the distance from the point p to the scene, and store the // scene normal (normalized difference between p and closest point in // the scene) in n. f D(v p, v& n) { // Initialize our distance query h. q h(p); // Encode the letters "mattz", see below for explanation: u d[] = "`@@B@D$\x82$\x86\xe3\x8d`H\x81Jc)B\x96\x81Nc-B\x9e`1c1`q"; // Interpret bytecodes by iterating over d in 2-byte chunks. for (u* c=d;*c;c+=2) { // Extract o, a, x, y from the current two bytes: // // o is a 3-bit opcode that stores the current geometry type // (line segment or arc) // // a is a 3-bit argument whose interpretation depends on whether // we are a line segment or arc // // x and y are 5-bit scene coordinates. // i o=c[1]>>5, a=*c>>5; f x=c[1]&31, y=*c&31; // Check if the high bit of o is set. if (o<4) { // High bit not set. // The current primitive is a line segment extending // from (x,y) to (x+dx, y+dy), where: // // dx = a if the low bit of o is set, otherwise zero. // // dy = a if the middle bit of o is set, otherwise zero. // // Here, k stores the point (x,y), d stores the vector (dx,dy) // v k(x,y), d(a*(o&1),a*(o&2)/2); // Compute the closest point along the line segment and // feed it to the distance query. h(k+d*U((h-k)%d/(d%d))); } else { // High bit is set. // The current primitive is an arc centered around // (x,y) with starting angle l, ending angle u, // and radius r, where // // l = -M_PI if the middle bit of a is set, otherwise 0. // // u = M_PI if the low bit of a is set, otherwise 0. // // r = 1.5 if the high bit of a is set, otherwise 1. // // Also compute t, the angle of the point p with respect to the // arc's center. // f P=M_PI, l=-P*(a&2)/2, u=P*(a&1), r=1+.5*(a/4), t=atan2(h.y-y/2,h.x-x/2); // Clamp t to the range given. t = tu?u:t; // Compute the point along the arc closest to p (just given by // the angle t and radius r), and feed it to the distance query. h(v(x/2+r*cos(t),y/2+r*sin(t))); } // Done with current primitive } // Looping through primitives // Find the projections of point p onto the wall and floor planes, // and feed them to the distance query. n=v(0,0,1); h(h-n*(h%n+.9)); n=v(0,1); h(h-n*(h%n+.9)); // Compute the normal n. n=!(p-h.c); // Return the distance -- we subtract off a radius of .45 to give // everything some dimension (otherwise all primitives would be // infinitely thin and we would just see the planes). return h.d-.45; } ////////////////////////////////////////////////////////////////////// // Trace a ray from origin o along direction d, and return the scene // brightness at the intersection. Instead of analytic ray tracing, // this is actually "sphere tracing" by using the distance to closest // point in scene to lower-bound how far we can step along the ray. f T(v o, v d) { // u holds the distance along the ray, l holds the distance to // closest object. f u=0, l=0; // n holds the normal (normalized difference of ray point minus // closest scene point). v n; // March along the ray: while (u<50) // Get the distance D from the ray point to the scene geometry. // If it is less than a threshold, then we have intersected the scene, // otherwise increase the distance along the ray by most of l: if (fabs(l=D(o+d*(u+=.9*l),n))<1e-4){ // Ok, we have intersected. It's time to compute lighting and // ambient occlusion now. At this point it would be instructive // to look at the linked PDF here: // // http://iquilezles.org/www/material/nvscene2008/nvscene2008.htm // // Basically, we're going to use the distance function D to get an // idea of how much "clutter" there is as we march away from the // intersecting point along the normal n. // // Our variables: // // c is just a counter that counts steps along the normal. // // a is going to track our ambient occlusion (lower value = // more occluded) // // s is the specular contribution (Phong shading model). // f c=0, a=1, s=pow(U(n%!(L-d)),80); // We reset o to be the point of intersection instead of the ray // origin from here on out. Also, we're clobbering d in the call // to D below. o=o+d*u; // Take 5 steps along the normal: while (++c<6) // OK, we are comparing two distances here: // // .2*c is the distance along the normal from the point of // intersection. // // The D(...) subexpression is the distance to closest point // in the scene. // // If the point of intersection was the closest thing, then // the difference below should be zero and there is no // occlusion happening. // // However, if there's non-convex geometry in that region, the // D(...) thing will be less than the .2*c thing and we end up // contributing to a. Each time we take a step along the // normal, we reduce the "importance" of the AO computation by // a factor of 2 (occlusion at larger distances matter // exponentially less). // a -= .8*(.2*c-D(o+n*.2*c,d))/pow(2,c); // Do the lighting and modulate the entire lighting computation by a: // // Inside the parentheses: // // Basically if s is zero, we are totally lambertian with a minimum // brightness of .65 and a maximum brightness of 0.95 // // If s is one, then we are totally white. // // We use the specular contribution to modulate between // lambertian and total whiteness. // return ((.3*U(n%L)+.65)*(1-s)+s)*a; } // End marching along the ray // The ray missed the scene entirely (shouldn't happen), so return // zero brightness. Probably could just remove this statement // and pick up another warning. return 0; } ////////////////////////////////////////////////////////////////////// // Main function just prints a header and iterates through the image // pixels. i main() { // Output the portable graymap header (binary version). puts("P5 600 220 255"); // * size encoded into the string i t=-111; // * t holds the vertical pixel coord. while (++t<110) // * for (i s=-300;s<300;++s) { // * s holds the horiz. coord. // Get the brightness of the pixel as a float in 0,1 and output // the character. View transformation? Never heard of it. Naw, // let's just directly encode our camera position and viewing // direction as inline variables. // // If you wanted to resize the output image, you'd have to change // all the marked lines (*) to get the output to scale uniformly. putchar(255*T(v(-2,4,25), !((!v(5,0,2)*s - !v(-2,73)*t)*.034 + // * .034 is a pixel scaling factor v(10.25,-2,-25)))); } // If we were good citizens, we'd return something here. Oh well. } ================================================ FILE: src/miniray_2.0.cpp ================================================ ////////////////////////////////////////////////////////////////////// // This is the "verbose" version of an obfuscated business card // sized raytracer. // // Compile this with full optimization and pipe the output to a file // named "mattz.pgm" #include #include // Start by saving some space: #define O operator #define E return typedef float f; ////////////////////////////////////////////////////////////////////// // A basic vector class. Note all vector operations are overloaded // single character operators -- no "named" methods. Thanks, Bjarne! struct v { // Just hold x,y,z. f x, y, z; // Construct with 1, 2, or 3 elements v (f a=0, f b=0, f c=0): x(a), y(b), z(c) {} // Multiplication by scalar. v operator*(f s) { return v(x*s, y*s, z*s); } // Dot product f operator%(v r) { return x*r.x + y*r.y + z*r.z; } // Return a normalized version of this vector. v operator!() { return *this*(1/sqrt(*this%*this)); } // Vector addition v operator+(v r) { return v(x+r.x, y+r.y, z+r.z); } // Vector subtraction (defined in terms of multiplication by -1 and // addition to save space). v operator-(v r) { return *this+r*-1; } } // The vector L holds the light direction in world space. Defining it // right after the class declaration saves us a character or two later // on. L(!v(-1,1,2)); ////////////////////////////////////////////////////////////////////// // Clamp any float to the [0,1] unit interval. f U(f a) { return a<0?0:a>1?1:a; } ////////////////////////////////////////////////////////////////////// // A helper function for distance queries. The scene is broken up into // a number of primitives. For some point p, we cycle through all the // primitives to see which one is closest to p, and this function is // called once per primitive. Variables in this function: // // n: the nearest point on the current primitive to p // j: the "color" of the current primitive // // c: the closest point to p on any primitive found so far // d: the distance between p and c // m: the "color" of the closest primitive identified so far // // The implementation is dead simple: if the distance between p and n // is less than d, we simply update c, d, and m. f Q(v p, v n, v& c, f& d, f& m, f j=1) { f e = sqrt((p-n)%(p-n)); if (e>5, a=*c>>5; f x=c[1]&31, y=*c&31; if (o>3) { // High bit is set // The current primitive is an arc centered around // (x,y) with starting angle l, ending angle u, // and radius r, where // // l = -M_PI if the middle bit of a is set, otherwise 0. // // u = M_PI if the low bit of a is set, otherwise 0. // // r = 1.5 if the high bit of a is set, otherwise 1. // // Also compute t, the angle of the point p with respect to the // arc's center. // f r=.5*(a/4)+1, t=atan2(p.y-y/2,p.x-x/2), P=M_PI, l=-P*(a&2)/2, u=P*(a&1); // Clamp t to the range given. t = tu?u:t; // Compute the point along the arc closest to p (just given by // the angle t and radius r), and feed it to the distance query. Q(p,v(r*cos(t)+x/2,r*sin(t)+y/2),C,D,m,.7); } else { // High bit not set // The current primitive is a line segment extending // from (x,y) to (x+dx, y+dy), where: // // dx = a if the low bit of o is set, otherwise zero. // // dy = a if the middle bit of o is set, otherwise zero. // // Here, k stores the point (x,y), d stores the vector (dx,dy) // v k(x,y), d(a*(o&1),a*(o&2)/2); // Compute the closest point along the line segment and // feed it to the distance query. Q(p,k+d*U((p-k)%d/(d%d)),C,D,m,.7); } // Done with current primitive } // Looping though primitives // Find the projections of point p onto the wall and floor planes, // and feed them to the distance query. n=v(0,1); Q(p,p-n*(p%n+.9),C,D,m); n=v(0,0,1); Q(p,p-n*(p%n+.9),C,D,m); // Compute the normal n. n=!(p-C); // Return the distance -- we subtract off a radius of .45 to give // everything some dimension (otherwise all primitives would be // infinitely thin and we would only see the planes). return D-.45; } ////////////////////////////////////////////////////////////////////// // Trace a ray from origin o along direction d, and return the scene // brightness at the intersection. Instead of analytic ray tracing, // this is actually "sphere tracing" by using the distance to closest // point in scene to lower-bound how far we can step along the ray. // Returns the scene color at the point of intersection. v T(v o, v d) { // Some local variables: // u: distance along the ray // l: distance to closest object at u // m: primitive "color" // c: a counter // a: ambient occlusion parameter // f u=0, l=0, m=0, c=0, a=1; // n holds the normal returned by the distance query above v n; // March along the ray: while (u<50) // Get the distance D from the ray point to the scene geometry. // If it is less than a threshold, then we have intersected the scene, // otherwise increase the distance along the ray by most of l: if (fabs(l=D(o+d*(u+=l),n,m))<1e-4){ // Ok, we have intersected! Now compute lighting, which consists // of three terms: a Lambertian term, a specular term, and ambient // occlusion. // s is specular lighting component f s=pow(U(n%!(L-d)),80),w; // update o to put it at the point of intersection o=o+d*u; // It's time to compute ambient occlusion now. At this point it // would be instructive to look at the linked PDF here: // // http://iquilezles.org/www/material/nvscene2008/nvscene2008.htm // // Basically, we're going to use the distance function D to get an // idea of how much "clutter" there is as we march away from the // intersecting point along the normal n. // // Take 5 steps along the normal: // while (++c<6) // OK, we are comparing two distances here: // // .2*c is the distance along the normal from the point of // intersection. // // The D(...) subexpression is the distance to closest point // in the scene. // // If the point of intersection was the closest thing, then // the difference below should be zero and there is no // occlusion happening. // // However, if there's non-convex geometry in that region, the // D(...) thing will be less than the .2*c thing and we end up // contributing to a. Each time we take a step along the // normal, we reduce the "importance" of the AO computation by // a factor of 2 (occlusion at larger distances matter // exponentially less). // a -= (c/5-D(o+n*.2*c,d,w))/pow(2,c); // Do all the lighting now: // // v(m,m,1) is the color (white or blue) // // U(n%L)/3+.65 is a blend of 0.33 Lambertian and 0.65 // ambient, and modulates the color. // // So then we take the modulated color, and use the specular // term to linearly interpolate between that and white // (totally fake specular lighting). // // Finally we take that entire thing and darken it up with // the ambient occlusion term that we computed above. // return (v(m,m,1)*(U(n%L)/3+.65)*(1-s) + v(1,1,1)*s)*a; } // Return values are overrated. } ////////////////////////////////////////////////////////////////////// // Main function just prints a header and iterates through the image // pixels. int main() { // t holds the vertical pixel coordinate f t=-111; // Output the portable pixmap header (binary version). puts("P6 600 220 255"); // For each row: while (++t<110) // For each column: // s holds the horizontal pixel coordinate for (f s=-300;s<300;++s) { // Get the color of the pixel as a float with components in // [0,1] and scale it into [0,255]. View transformation? Never // heard of it. Naw, let's just directly encode our camera // position and viewing direction as inline variables. // v c = T(v(-2,4,25), !((!v(5,0,2)*s - !v(-2,73)*t)*.034 + v(10.25,-2,-25)))*255; // Output each channel as a character. putchar(c.x); putchar(c.y); putchar(c.z); } // for each column } ================================================ FILE: src/miniray_2.1.cpp ================================================ #include #include #define O operator #define E return ////////////////////////////////////////////////////////////////////// // This is the "verbose" version of an obfuscated business card // sized raytracer. // // Compile this with full optimization and pipe the output to a file // named "mattz.pgm" // Start by saving some space: typedef float f; ////////////////////////////////////////////////////////////////////// // A basic vector class. Note all vector operations are overloaded // single character operators -- no "named" methods. Thanks, Bjarne! struct v { // Just hold x,y,z. f x, y, z; // Construct with 1, 2, or 3 elements v (f a=0, f b=0, f c=0): x(a), y(b), z(c) {} // Multiplication by scalar. v operator*(f s) { return v(x*s, y*s, z*s); } // Dot product f operator%(v r) { return x*r.x + y*r.y + z*r.z; } // Return a normalized version of this vector. v operator!() { return *this*(1/sqrt(*this%*this)); } // Vector addition v operator+(v r) { return v(x+r.x, y+r.y, z+r.z); } // Vector subtraction (defined in terms of multiplication by -1 and // addition to save space). v operator-(v r) { return *this+r*-1; } } // The vector L holds the light direction in world space. Defining it // right after the class declaration saves us a character or two later // on. L(!v(-1,1,2)); ////////////////////////////////////////////////////////////////////// // Clamp any float to the [0,1] unit interval. f U(f a) { return a<0?0:a>1?1:a; } ////////////////////////////////////////////////////////////////////// // A helper function for distance queries. The scene is broken up into // a number of primitives. For some point p, we cycle through all the // primitives to see which one is closest to p, and this function is // called once per primitive. Variables in this function: // // c: the closest point on the current primitive to p // m: the "material" of the current primitive // // C: the closest point to p on any primitive found so far // D: the distance between p and c // M: the "material" of the closest primitive identified so far // // The implementation is dead simple: if the distance between p and c // is less than D, we simply update C, D, and M. f Q(v p, v c, v& C, f& D, f& M, f m=1) { f d = sqrt((p-c)%(p-c)); if (d>5, a=*b>>5; f x=b[1]&31, y=*b&31; if (o>3) { // High bit is set // The current primitive is an arc centered around // (x,y) with starting angle l, ending angle u, // and radius r, where // // l = -M_PI if the middle bit of a is set, otherwise 0. // // u = M_PI if the low bit of a is set, otherwise 0. // // r = 1.5 if the high bit of a is set, otherwise 1. // // Also compute t, the angle of the point p with respect to the // arc's center. // f r=.5*(a/4)+1, t=atan2(p.y-y/2,p.x-x/2), P=M_PI, l=-P*(a&2)/2, u=P*(a&1); // Clamp t to the range given. t = tu?u:t; // Compute the point along the arc closest to p (just given by // the angle t and radius r), and feed it to the distance query. Q(p,v(r*cos(t)+x/2,r*sin(t)+y/2),C,D,M,.7); } else { // High bit not set // The current primitive is a line segment extending // from (x,y) to (x+dx, y+dy), where: // // dx = a if the low bit of o is set, otherwise zero. // // dy = a if the middle bit of o is set, otherwise zero. // // Here, k stores the point (x,y), d stores the vector (dx,dy) // v k(x,y), d(a*(o&1),a*(o&2)/2); // Compute the closest point along the line segment and // feed it to the distance query. Q(p,k+d*U((p-k)%d/(d%d)),C,D,M,.7); } // Done with current primitive } // Looping though primitives // Find the projections of point p onto the wall and floor planes, // and feed them to the distance query. n=v(0,1); Q(p,p-n*(p%n+.9),C,D,M); n=v(0,0,1); Q(p,p-n*(p%n+.9),C,D,M); // Compute the normal n. n=!(p-C); // Return the distance -- we subtract off a radius of .45 to give // everything some dimension (otherwise all primitives would be // infinitely thin and we would only see the planes). return D-.45; } ////////////////////////////////////////////////////////////////////// // Main function just prints a header and iterates through the image // pixels. int main() { // y holds the vertical pixel coordinate f y=-111; // Output the portable pixmap header (binary version). puts("P6 600 220 255"); // For each row: while (++y<110) // For each column: // x holds the horizontal pixel coordinate for (f x=-300;x<300;++x) { // Trace a ray from origin o along direction d, and compute the // scene color at the intersection. Instead of analytic ray // tracing, this is actually "sphere tracing" by using the // distance to closest point in scene as a lower-bound of how // far we can step along the ray. // Vector variables: // // o is the ray origin // d is the ray direction, note hardcoded view transformation. // n is the normal at the point of intersection // p is the pixel color // v o(-2,4,25), d = !((!v(5,0,2)*x - !v(-2,73)*y)*.034 + v(10.25,-2,-25)), n, p; // Scalar variables: // // u: distance along the ray at current point // l: distance to closest object at current point // m: primitive "material" // i: a counter // a: ambient occlusion parameter // f u=0, l=0, m, i=0, a=1; // March along the ray: while (u<50) // Get the distance D from the current ray point to the scene // geometry. If it is less than a threshold, then we have // intersected the scene, otherwise increase the distance // along the ray by most of l: // if (fabs(l=D(o+d*(u+=l),n,m))<1e-4){ // Ok, we have intersected! Now compute lighting, which consists // of three terms: a Lambertian term, a specular term, and ambient // occlusion. // s is specular lighting component // w is ignored but needs to be passed into D above f s=pow(U(n%!(L-d)),80),w; // update o to put it at the point of intersection o=o+d*u; // It's time to compute ambient occlusion now. At this point it // would be instructive to look at the linked PDF here: // // http://iquilezles.org/www/material/nvscene2008/nvscene2008.htm // // Basically, we're going to use the distance function D to get an // idea of how much "clutter" there is as we march away from the // intersecting point along the normal n. // // Take 5 steps along the normal: // while (++i<6) // OK, we are comparing two distances here: // // .2*i is the distance along the normal from the point of // intersection. // // The D(...) subexpression is the distance to closest point // in the scene. // // If the point of intersection was the closest thing, then // the difference below should be zero and there is no // occlusion happening. // // However, if there's non-convex geometry in that region, the // D(...) thing will be less than the .2*i thing and we end up // contributing to a. Each time we take a step along the // normal, we reduce the "importance" of the AO computation by // a factor of 2 (occlusion at larger distances matter // exponentially less). // a -= (i/5-D(o+n*.2*i,d,w))/pow(2,i); // Do all the lighting now: // // v(m,m,1) is the color (white or blue) // // U(n%L)/3+.65 is a blend of 0.33 Lambertian and 0.65 // ambient, and modulates the color. // // So then we take the modulated color, and use the specular // term to linearly interpolate between that and white // (totally fake specular lighting). // // Finally we take that entire thing and darken it up with // the ambient occlusion term that we computed above. // // Pixel color is multiplied by 255 to put it in unsigned // char range. // p = (v(m,m,1)*(U(n%L)/3+.65)*(1-s) + v(1,1,1)*s)*a*255; break; } // Output each channel of the pixel as a character. putchar(p.x); putchar(p.y); putchar(p.z); } // for each column // for each row } ================================================ FILE: src/miniray_2.2.cpp ================================================ #include #include #define O operator #define E return ////////////////////////////////////////////////////////////////////// // This is the "verbose" version of an obfuscated business card // sized raytracer. // // Compile this with full optimization and pipe the output to a file // named "mattz.pgm" // Start by saving some space: typedef float f; ////////////////////////////////////////////////////////////////////// // A basic vector class. Note all vector operations are overloaded // single character operators -- no "named" methods. Thanks, Bjarne! struct v { // Just hold x,y,z. f x, y, z; // Construct with 1, 2, or 3 elements v (f a=0, f b=0, f c=0): x(a), y(b), z(c) {} // Multiplication by scalar. v operator*(f s) { return v(x*s, y*s, z*s); } // Dot product f operator%(v r) { return x*r.x + y*r.y + z*r.z; } // Return a normalized version of this vector. v operator!() { return *this*(1/sqrt(*this%*this)); } // Vector addition v operator+(v r) { return v(x+r.x, y+r.y, z+r.z); } // Vector subtraction (defined in terms of multiplication by -1 and // addition to save space). v operator-(v r) { return *this+r*-1; } } // The vector L holds the light direction in world space. Defining it // right after the class declaration saves us a character or two later // on. L(!v(-1,1,2)); ////////////////////////////////////////////////////////////////////// // Clamp any float to the [0,1] unit interval. f U(f a) { return a<0?0:a>1?1:a; } ////////////////////////////////////////////////////////////////////// // A helper function for distance queries. The scene is broken up into // a number of primitives. For some point p, we cycle through all the // primitives to see which one is closest to p, and this function is // called once per primitive. Variables in this function: // // c: the closest point on the current primitive to p // m: the "material" of the current primitive // // C: the closest point to p on any primitive found so far // D: the distance between p and c // M: the "material" of the closest primitive identified so far // // The implementation is dead simple: if the distance between p and c // is less than D, we simply update C, D, and M. f Q(v p, v c, v& C, f& D, f& M, f m=1) { f d = sqrt((p-c)%(p-c)); if (d>5, a=*b>>5; f x=b[1]&31, y=*b&31; if (o>3) { // High bit is set // The current primitive is an arc centered around // (x,y) with starting angle l, ending angle u, // and radius r, where // // l = -M_PI if the middle bit of a is set, otherwise 0. // // u = M_PI if the low bit of a is set, otherwise 0. // // r = 1.5 if the high bit of a is set, otherwise 1. // // Also compute t, the angle of the point p with respect to the // arc's center. // f r=.5*(a/4)+1, t=atan2(p.y-y/2,p.x-x/2), P=M_PI, l=-P*(a&2)/2, u=P*(a&1); // Clamp t to the range given. t = tu?u:t; // Compute the point along the arc closest to p (just given by // the angle t and radius r), and feed it to the distance query. Q(p,v(r*cos(t)+x/2,r*sin(t)+y/2),C,D,M,.7); } else { // High bit not set // The current primitive is a line segment extending // from (x,y) to (x+dx, y+dy), where: // // dx = a if the low bit of o is set, otherwise zero. // // dy = a if the middle bit of o is set, otherwise zero. // // Here, k stores the point (x,y), d stores the vector (dx,dy) // v k(x,y), d(a*(o&1),a*(o&2)/2); // Compute the closest point along the line segment and // feed it to the distance query. Q(p,k+d*U((p-k)%d/(d%d)),C,D,M,.7); } // Done with current primitive } // Looping though primitives // Find the projections of point p onto the wall and floor planes, // and feed them to the distance query. n=v(0,1); Q(p,p-n*(p%n+.9),C,D,M); n=v(0,0,1); Q(p,p-n*(p%n+.9),C,D,M); // Compute the normal n. n=!(p-C); // Return the distance -- we subtract off a radius of .45 to give // everything some dimension (otherwise all primitives would be // infinitely thin and we would only see the planes). return D-.45; } ////////////////////////////////////////////////////////////////////// // Main function just prints a header and iterates through the image // pixels. int main() { // y holds the vertical pixel coordinate f y=-111; // Output the portable pixmap header (binary version). puts("P6 600 220 255"); // For each row: while (++y<110) // For each column: // x holds the horizontal pixel coordinate for (f x=-300;x<300;++x) { // Trace a ray from origin o along direction d, and compute the // scene color at the intersection. Instead of analytic ray // tracing, this is actually "sphere tracing" by using the // distance to closest point in scene as a lower-bound of how // far we can step along the ray. // Vector variables: // // o is the ray origin // d is the ray direction, note hardcoded view transformation. // n is the normal at the point of intersection // p is the pixel color // v o(-2,4,25), d = !((!v(5,0,2)*x - !v(-2,73)*y)*.034 + v(10.25,-2,-25)), n, p, L; // Scalar variables: // // u: distance along the ray at current point // l: distance to closest object at current point // m: primitive "material" // i: a counter // a: ambient occlusion parameter // f u=0, l=0, m, i=0, a=1; // March along the ray: while (u<50) // Get the distance D from the current ray point to the scene // geometry. If it is less than a threshold, then we have // intersected the scene, otherwise increase the distance // along the ray by most of l: // if (fabs(l=D(o+d*(u+=l),n,m))<1e-4){ // Ok, we have intersected! Now compute lighting, which consists // of three terms: a Lambertian term, a specular term, and ambient // occlusion. // s is specular lighting component // w is ignored but needs to be passed into D above f s=pow(U(n%!(L-d)),80),w; // update o to put it at the point of intersection o=o+d*u; // It's time to compute ambient occlusion now. At this point it // would be instructive to look at the linked PDF here: // // http://iquilezles.org/www/material/nvscene2008/nvscene2008.htm // // Basically, we're going to use the distance function D to get an // idea of how much "clutter" there is as we march away from the // intersecting point along the normal n. // // Take 5 steps along the normal: // while (++i<6) // OK, we are comparing two distances here: // // .2*i is the distance along the normal from the point of // intersection. // // The D(...) subexpression is the distance to closest point // in the scene. // // If the point of intersection was the closest thing, then // the difference below should be zero and there is no // occlusion happening. // // However, if there's non-convex geometry in that region, the // D(...) thing will be less than the .2*i thing and we end up // contributing to a. Each time we take a step along the // normal, we reduce the "importance" of the AO computation by // a factor of 2 (occlusion at larger distances matter // exponentially less). // a -= (i/5-D(o+n*.2*i,d,w))/pow(2,i); // Do all the lighting now: // // v(m,m,1) is the color (white or blue) // // U(n%L)/3+.65 is a blend of 0.33 Lambertian and 0.65 // ambient, and modulates the color. // // So then we take the modulated color, and use the specular // term to linearly interpolate between that and white // (totally fake specular lighting). // // Finally we take that entire thing and darken it up with // the ambient occlusion term that we computed above. // // Pixel color is multiplied by 255 to put it in unsigned // char range. // p = (v(m,m,1)*(U(n%L)/3+.65)*(1-s) + v(1,1,1)*s)*a*255; break; } // Output each channel of the pixel as a character. putchar(p.x); putchar(p.y); putchar(p.z); } // for each column // for each row } ================================================ FILE: src/miniray_2.3.cpp ================================================ ////////////////////////////////////////////////////////////////////// // This is the "verbose" version of an obfuscated business card // sized raytracer. // // Compile this with full optimization and pipe the output to a file // named "mattz.ppm" #include #include // Start by saving some space: #define O operator #define E return typedef float f; ////////////////////////////////////////////////////////////////////// // A basic vector class. Note all vector operations are overloaded // single character operators -- no "named" methods. Thanks, Bjarne! struct v { // Just hold x,y,z. f x, y, z; // Construct with 1, 2, or 3 elements v (f a=0, f b=0, f c=0): x(a), y(b), z(c) {} // Multiplication by scalar. v operator*(f s) { return v(x*s, y*s, z*s); } // Dot product f operator%(v r) { return x*r.x + y*r.y + z*r.z; } // Return a normalized version of this vector. v operator!() { return *this*(1/sqrt(*this%*this)); } // Vector addition v operator+(v r) { return v(x+r.x, y+r.y, z+r.z); } // Vector subtraction (defined in terms of multiplication by -1 and // addition to save space). v operator-(v r) { return *this+r*-1; } } // The vector L holds the light direction in world space. Defining it // right after the class declaration saves us a character or two later // on. L(!v(-1,1,2)); ////////////////////////////////////////////////////////////////////// // Clamp any float to the [0,1] unit interval. f U(f a) { return a<0?0:a>1?1:a; } ////////////////////////////////////////////////////////////////////// // A helper function for distance queries. The scene is broken up into // a number of primitives. For some point p, we cycle through all the // primitives to see which one is closest to p, and this function is // called once per primitive. Variables in this function: // // c: the closest point on the current primitive to p // m: the "material" of the current primitive // // C: the closest point to p on any primitive found so far // D: the distance between p and c // M: the "material" of the closest primitive identified so far // // The implementation is dead simple: if the distance between p and c // is less than D, we simply update C, D, and M. f Q(v p, v c, v& C, f& D, f& M, f m=1) { f d = sqrt((p-c)%(p-c)); if (du?u:t; // Compute the point along the arc closest to p (just given by // the angle t and radius r), and feed it to the distance query. Q(p,v(r*cos(t)+x/2,r*sin(t)+y/2),C,D,M,.7); } else { // High bit not set // The current primitive is a line segment extending // from (x,y) to (x+dx, y+dy), where: // // dx = a if the low bit of o is set, otherwise zero. // // dy = a if the middle bit of o is set, otherwise zero. // // Here, k stores the point (x,y), d stores the vector (dx,dy) // v k(x,y), d(a*(o&1),a*(o/2)); // Compute the closest point along the line segment and // feed it to the distance query. Q(p,k+d*U((p-k)%d/(d%d)),C,D,M,.7); } // Done with current primitive } // Looping though primitives // Find the projections of point p onto the wall and floor planes, // and feed them to the distance query. n=v(0,1); Q(p,p-n*(p%n+.9),C,D,M); n=v(0,0,1); Q(p,p-n*(p%n+.9),C,D,M); // Compute the normal n. n=!(p-C); // Return the distance -- we subtract off a radius of .45 to give // everything some dimension (otherwise all primitives would be // infinitely thin and we would only see the planes). return D-.45; } ////////////////////////////////////////////////////////////////////// // Main function just prints a header and iterates through the image // pixels. int main() { // y holds the vertical pixel coordinate f y=-111; // Output the portable pixmap header (binary version). puts("P6 600 220 255"); // For each row: while (++y<110) // For each column: // x holds the horizontal pixel coordinate for (f x=-300;x<300;++x) { // Trace a ray from origin o along direction d, and compute the // scene color at the intersection. Instead of analytic ray // tracing, this is actually "sphere tracing" by using the // distance to closest point in scene as a lower-bound of how // far we can step along the ray. // Vector variables: // // o is the ray origin // d is the ray direction, note hardcoded view transformation. // n is the normal at the point of intersection // p is the pixel color // v o(-2,4,25), d = !((!v(5,0,2)*x - !v(-2,73)*y)*.034 + v(10.25,-2,-25)), n, p, L; // Scalar variables: // // u: distance along the ray at current point // l: distance to closest object at current point // m: primitive "material" // i: a counter // a: ambient occlusion parameter // f u=0, l=0, m, i=0, a=1; // March along the ray: while (u<50) // Get the distance D from the current ray point to the scene // geometry. If it is less than a threshold, then we have // intersected the scene, otherwise increase the distance // along the ray by l: // if (fabs(l=D(o+d*(u+=l),n,m))<1e-4){ // Ok, we have intersected! Now compute lighting, which consists // of three terms: a Lambertian term, a specular term, and ambient // occlusion. // s is specular lighting component // w is ignored but needs to be passed into D above f s=pow(U(n%!(L-d)),80),w; // update o to put it at the point of intersection o=o+d*u; // It's time to compute ambient occlusion now. At this point it // would be instructive to look at the linked PDF here: // // http://iquilezles.org/www/material/nvscene2008/nvscene2008.htm // // Basically, we're going to use the distance function D to get an // idea of how much "clutter" there is as we march away from the // intersecting point along the normal n. // // Take 5 steps along the normal: // while (++i<6) // OK, we are comparing two distances here: // // .2*i is the distance along the normal from the point of // intersection. // // The D(...) subexpression is the distance to closest point // in the scene. // // If the point of intersection was the closest thing, then // the difference below should be zero and there is no // occlusion happening. // // However, if there's non-convex geometry in that region, the // D(...) thing will be less than the .2*i thing and we end up // contributing to a. Each time we take a step along the // normal, we reduce the "importance" of the AO computation by // a factor of 2 (occlusion at larger distances matter // exponentially less). // a -= (i/5-D(o+n*.2*i,d,w))/pow(2,i); // Do all the lighting now: // // v(m,m,1) is the color (white or blue) // // U(n%L)/3+.65 is a blend of 0.33 Lambertian and 0.65 // ambient, and modulates the color. // // So then we take the modulated color, and use the specular // term to linearly interpolate between that and white // (totally fake specular lighting). // // Finally we take that entire thing and darken it up with // the ambient occlusion term that we computed above. // // Pixel color is multiplied by 255 to put it in unsigned // char range. // p = (v(m,m,1)*(U(n%L)/3+.65)*(1-s) + v(1,1,1)*s)*a*255; break; } // Output each channel of the pixel as a character. putchar(p.x); putchar(p.y); putchar(p.z); } // for each column // for each row } ================================================ FILE: src/miniray_2.4.cpp ================================================ ////////////////////////////////////////////////////////////////////// // This is the "verbose" version of an obfuscated business card // sized raytracer. // // Compile this with full optimization and pipe the output to a file // named "mattz.ppm" #include #include // Start by saving some space: #define O operator #define E return typedef float f; ////////////////////////////////////////////////////////////////////// // A basic vector class. Note all vector operations are overloaded // single character operators -- no "named" methods. Thanks, Bjarne! struct v { // Just hold x,y,z. f x, y, z; // Construct with 1, 2, or 3 elements v (f a=0, f b=0, f c=0): x(a), y(b), z(c) {} // Multiplication by scalar. v operator*(f s) { return v(x*s, y*s, z*s); } // Dot product f operator%(v r) { return x*r.x + y*r.y + z*r.z; } // Return a normalized version of this vector. v operator!() { v&t=*this; return t*(1/sqrt(t%t)); } // Vector addition v operator+(v r) { return v(x+r.x, y+r.y, z+r.z); } // Vector subtraction (defined in terms of multiplication by -1 and // addition to save space). v operator-(v r) { return *this+r*-1; } } // The vector L holds the light direction in world space. Defining it // right after the class declaration saves us a character or two later // on. L=!v(-1,1,2), // Similarly, we declare a white constant vector as well. W(1,1,1); ////////////////////////////////////////////////////////////////////// // Clamp any float to the [0,1] unit interval. f U(f a) { return a<0?0:a>1?1:a; } ////////////////////////////////////////////////////////////////////// // A helper function for distance queries. The scene is broken up into // a number of primitives. For some point p, we cycle through all the // primitives to see which one is closest to p, and this function is // called once per primitive. Variables in this function: // // c: the closest point on the current primitive to p // m: the "material" of the current primitive // // C: the closest point to p on any primitive found so far // D: the distance between p and c // M: the "material" of the closest primitive identified so far // // The implementation is dead simple: if the distance between p and c // is less than D, we simply update C, D, and M. f Q(v p, v c, v& C, f& D, f& M, f m=.6) { f d = sqrt((p-c)%(p-c)); if (du?u:t; // Compute the point along the arc closest to p (just given by // the angle t and radius r), and feed it to the distance query. n = v(cos(t),sin(t))*r + k*.5; } else { // High bit not set // The current primitive is a line segment extending // from (x,y) to (x+dx, y+dy), where: // // dx = a if the low bit of o is set, otherwise zero. // // dy = a if the middle bit of o is set, otherwise zero. // // Here, k stores the point (x,y), d stores the vector (dx,dy) // // Compute the closest point along the line segment and // feed it to the distance query. n = k+d*U((p-k)%d/(d%d)); } // Now run the distance query on this primitive Q(p,n,C,D,M); } // Looping though primitives // Find the projections of point p onto the wall and floor planes, // and feed them to the distance query. n=v(0,1); Q(p,p-n*(p%n+.9),C,D,M,1); n=v(0,0,1); Q(p,p-n*(p%n+.9),C,D,M,1); // Compute the normal n. n=!(p-C); // Return the distance -- we subtract off a radius of .45 to give // everything some dimension (otherwise all primitives would be // infinitely thin and we would only see the planes). return D-.45; } v R(v o, v d, f z) { v n, p; // Scalar variables: // // u: distance along the ray at current point; also, dummy var for material // l: distance to closest object at current point // m: primitive "material" // a: ambient occlusion parameter // f u=0, l=0, m, i=0, a=1; // March along the ray: while (u<50) // Get the distance D from the current ray point to the scene // geometry. If it is less than a threshold, then we have // intersected the scene, otherwise increase the distance // along the ray by l: // if (fabs(l=D(o+d*(u+=l),n,m))<.001) { // Ok, we have intersected! Now compute lighting, which consists // of three terms: a Lambertian term, a specular term, and ambient // occlusion. // update o to put it at the point of intersection o=o+d*u; // It's time to compute ambient occlusion now. At this point it // would be instructive to look at the linked PDF here: // // http://iquilezles.org/www/material/nvscene2008/nvscene2008.htm // // Basically, we're going to use the distance function D to get an // idea of how much "clutter" there is as we march away from the // intersecting point along the normal n. // // Take 5 steps along the normal: while (++i<6) // OK, we are comparing two distances here: // // .2*i is the distance along the normal from the point of // intersection. // // The D(...) subexpression is the distance to closest point // in the scene. // // If the point of intersection was the closest thing, then // the difference below should be zero and there is no // occlusion happening. // // However, if there's non-convex geometry in that region, the // D(...) thing will be less than the .2*i thing and we end up // contributing to a. Each time we take a step along the // normal, we reduce the "importance" of the AO computation by // a factor of 2 (occlusion at larger distances matter // exponentially less). // a -= (i/5-D(o+n*.2*i,p,u))/pow(2,i); // Do all the lighting now: // // v(m,m,1) is the color (white or blue) // // U(n%L)/3+.65 is a blend of 0.33 Lambertian and 0.65 // ambient, and modulates the color. // // Finally we take that entire thing and darken it up with // the ambient occlusion term that we computed above. p = v(m,m,1)*(U(n%L)/3+.65)*a; if (z && m!=1) { p = p*.7 + R(o+n*.1,n,0)*.3; } // Compute a specular term and use it to linearly interpolate // between the surface color and white; this is physically // implausible, but doesn't require clamping (as does, for // instance, the Phong shading model). u=pow(U(n%!(L-d)),40); return p*(1-u) + W*u; } // hit return W*.6; } ////////////////////////////////////////////////////////////////////// // Main function just prints a header and iterates through the image // pixels. int main() { // y holds the vertical pixel coordinate f y=-111; // Output the portable pixmap header (binary version). puts("P6 600 220 255"); // For each row: while (++y<110) // For each column: // x holds the horizontal pixel coordinate for (f x=-300;x<300;++x) { // Trace a ray from origin o along direction d, and compute the // scene color at the intersection. Instead of analytic ray // tracing, this is actually "sphere tracing" by using the // distance to closest point in scene as a lower-bound of how // far we can step along the ray. v p = R(v(-2,4,25), !((!v(5,0,2)*x - !v(-2,73)*y)*.034 + v(10.25,-2,-25)), 1)*255; // Output each channel of the pixel as a character. putchar(p.x); putchar(p.y); putchar(p.z); } // for each column // for each row } ================================================ FILE: src/miniray_3.0.cpp ================================================ ////////////////////////////////////////////////////////////////////// // This is the "verbose" version of an obfuscated business card // sized raytracer. // // Compile this with full optimization and pipe the output to a file // named "mattz.ppm" #include #include // Start by saving some space: #define O operator #define E return typedef float f; f H=.5, Z=.33, Y=Z+Z, I; ////////////////////////////////////////////////////////////////////// // A basic vector class. Note all vector operations are overloaded // single character operators -- no "named" methods. Thanks, Bjarne! struct v { // Just hold x,y,z. f x, y, z; // Construct with 1, 2, or 3 elements v (f a=0, f b=0, f c=0): x(a), y(b), z(c) {} // Multiplication by scalar. v operator*(f s) { return v(x*s, y*s, z*s); } // Dot product f operator%(v r) { return x*r.x + y*r.y + z*r.z; } // Return a normalized version of this vector. v operator!() { v&t=*this; return t*pow(t%t,-H); } // Vector addition v operator+(v r) { return v(x+r.x, y+r.y, z+r.z); } // Vector subtraction (defined in terms of multiplication by -1 and // addition to save space). v operator-(v r) { return *this+r*-1; } } // The vector L holds the light direction in world space. Defining it // right after the class declaration saves us a character or two later // on. L=!v(-1,1,2), W(1,1,1), F(Y,Y,1), P, C, M, N; ////////////////////////////////////////////////////////////////////// // Clamp any float to the [0,1] unit interval. f U(f a) { return a<0?0:a>1?1:a; } ////////////////////////////////////////////////////////////////////// // A helper function for distance queries. The scene is broken up into // a number of primitives. For some point p, we cycle through all the // primitives to see which one is closest to p, and this function is // called once per primitive. Variables in this function: // // c: the closest point on the current primitive to p // m: the "material" of the current primitive // // C: the closest point to p on any primitive found so far // D: the distance between p and c // M: the "material" of the closest primitive identified so far // // The implementation is dead simple: if the distance between p and c // is less than D, we simply update C, D, and M. f Q(v c, v m) { f d = (P-c)%(P-c); if (du?u:t; // Compute the point along the arc closest to p (just given by // the angle t and radius r), and feed it to the distance query. Q(k*H+v(cos(t),sin(t))*r,F); } } // Looping though primitives // Find the projections of point p onto the wall and floor planes, // and feed them to the distance query. N=v(0,1); Q(p-N*(p%N+.9),W); if (M.x==1 && (int((p.x+64)/8)^int((p.z+64)/8))&1) M = Y; //N=v(0,0,1); Q(p,p-N*(p%n+.9),W); // Compute the normal n. N=P-C; // Return the distance -- we subtract off a radius of .45 to give // everything some dimension (otherwise all primitives would be // infinitely thin and we would only see the planes). return sqrt(I)-.45; } v R(v o, v d, f z) { v n, p; // Scalar variables: // // u: distance along the ray at current point // l: distance to closest object at current point // m: primitive "material" // a: ambient occlusion parameter // f u=0, l=0, i=0, a=1, k=d.z*d.z; // March along the ray: while (u<97) // Get the distance D from the current ray point to the scene // geometry. If it is less than a threshold, then we have // intersected the scene, otherwise increase the distance // along the ray by l: // if ((l=D(o+d*(u+=l)))*l<.001) { p=M; n=!N; // Ok, we have intersected! Now compute lighting, which consists // of three terms: a Lambertian term, a specular term, and ambient // occlusion. // update o to put it at the point of intersection o=o+d*u; // It's time to compute ambient occlusion now. At this point it // would be instructive to look at the linked PDF here: // // http://iquilezles.org/www/material/nvscene2008/nvscene2008.htm // // Basically, we're going to use the distance function D to get an // idea of how much "clutter" there is as we march away from the // intersecting point along the normal n. // // Take 5 steps along the normal: while (++i<6) // OK, we are comparing two distances here: // // .2*i is the distance along the normal from the point of // intersection. // // The D(...) subexpression is the distance to closest point // in the scene. // // If the point of intersection was the closest thing, then // the difference below should be zero and there is no // occlusion happening. // // However, if there's non-convex geometry in that region, the // D(...) thing will be less than the .2*i thing and we end up // contributing to a. Each time we take a step along the // normal, we reduce the "importance" of the AO computation by // a factor of 2 (occlusion at larger distances matter // exponentially less). // a -= U(i/5-D(o+n*.2*i))/pow(2,i); // Do all the lighting now: // // v(m,m,1) is the color (white or blue) // // U(n%L)/3+.65 is a blend of 0.33 Lambertian and 0.65 // ambient, and modulates the color. // // Finally we take that entire thing and darken it up with // the ambient occlusion term that we computed above. p = p*(U(n%L)*Z+Y)*a; if (z) p = p*Y + R(o+n*.1,d-n*2*(d%n),z-1)*Z; // Compute a specular term and use it to linearly interpolate // between the surface color and white; this is physically // implausible, but doesn't require clamping (as does, for // instance, the Phong shading model). u=pow(U(n%!(L-d)),40); return p*(1-u) + W*u; } // hit return v(k, k, 1); } ////////////////////////////////////////////////////////////////////// // Main function just prints a header and iterates through the image // pixels. int main() { // y holds the vertical pixel coordinate f y=-111; // Output the portable pixmap header (binary version). puts("P6 600 220 255"); // For each row: while (++y<110) // For each column: // x holds the horizontal pixel coordinate for (f x=-300;x<300;++x) { // Trace a ray from origin o along direction d, and compute the // scene color at the intersection. Instead of analytic ray // tracing, this is actually "sphere tracing" by using the // distance to closest point in scene as a lower-bound of how // far we can step along the ray. v p = R(v(-2,4,25), !((!v(5,0,2)*x - !v(-2,73)*y)*.034 + v(10.25,-2,-25)), 2)*255; // Output each channel of the pixel as a character. putchar(p.x); putchar(p.y); putchar(p.z); } // for each column // for each row } ================================================ FILE: src/miniray_3.1.cpp ================================================ ////////////////////////////////////////////////////////////////////// // This is the "verbose" version of an obfuscated business card // sized raytracer. // // Compile this with full optimization and pipe the output to a file // named "mattz.ppm" #include // Start by saving some space: //#define O operator //#define E return typedef double f; f H=.5, Y=.66, S=-1, I, y=-111; extern "C" { f cos(f), pow(f, f), atan2(f, f); } ////////////////////////////////////////////////////////////////////// // A basic vector class. Note all vector operations are overloaded // single character operators -- no "named" methods. Thanks, Bjarne! struct v { // Just hold x,y,z. f x, y, z; // Construct with 1, 2, or 3 elements v (f a=0, f b=0, f c=0): x(a), y(b), z(c) {} // Dot product f operator%(v r) { return x*r.x + y*r.y + z*r.z; } // Vector addition v operator+(v r) { return v(x+r.x, y+r.y, z+r.z); } // Multiplication by scalar. v operator*(f s) { return v(x*s, y*s, z*s); } } // The vector L holds the light direction in world space. Defining it // right after the class declaration saves us a character or two later // on. W(1,1,1), P, C, M; ////////////////////////////////////////////////////////////////////// // Clamp any float to the [0,1] unit interval. f U(f a) { return a<0?0:a>1?1:a; } // Normalize vector v _(v t) { return t*pow(t%t, -H); } ////////////////////////////////////////////////////////////////////// // A helper function for distance queries. The scene is broken up into // a number of primitives. For some point P, we cycle through all the // primitives to see which one is closest to P, and this function is // called once per primitive. Variables in this function: // // c: the closest point on the current primitive to P // // C: the closest point to P on any primitive found so far // I: the squared distance between P and c // // The implementation is dead simple: if the distance between p and c // is less than I, we simply update C and I f Q(v c) { M = P+c*S; f d = M%M; return d < I ? C=c, I=d : 0; } ////////////////////////////////////////////////////////////////////// // Test the distance from the point p to the scene, and store the // scene normal (normalized difference between p and closest point in // the scene) in n, and the "material" of the closest primitive in m. // f D(v p) { I=99; P=p; f l, u, t; v k; // Encode the letters "mattz", see below for explanation: // Interpret bytecodes by iterating over string in 2-byte chunks. // P, I are the variables associated with the distance query // function above. for (const char* b="BCJB@bJBHbJCE[FLL_A[FLMCA[CCTT`T"; *b; ++b) { // Extract o, a, x, y from the current two bytes: // // o is a 3-bit opcode that stores the current geometry type // (line segment or arc) // // a is a 3-bit argument whose interpretation depends on whether // we are a line segment or arc // // x and y are 5-bit scene coordinates. // k.x+=*b/4&15; int o=*b&3, a=*++b&7; k.y=*b/8&7; v d(o%2*a,o/2*a); !o ? // The current primitive is an arc centered around // (x,y) with starting angle l, ending angle u, // and radius r, where // // l = -M_PI if the high bit of a is set, otherwise 0. // // u = M_PI if the middle bit of a is set, otherwise 0. // // r = 1.5 if the low bit of a is set, otherwise 1. // // Also compute t, the angle of the point p with respect to the // arc's center. // l=a/4%2*-3.14, u=a/2%2*3.14, d=p+k*-H, t=atan2(d.y, d.x), // Clamp t to the range given. t = tu?u:t, // Compute the point along the arc closest to p (just given by // the angle t and radius r), and feed it to the distance query. Q(k*H+v(cos(t),cos(t-1.57))*(a%2*H+1)) : // The current primitive is a line segment extending // from (x,y) to (x+dx, y+dy), where: // // dx = a if the low bit of o is set, otherwise zero. // // dy = a if the middle bit of o is set, otherwise zero. // // Here, k stores the point (x,y), d stores the vector (dx,dy) // // Compute the closest point along the line segment and // feed it to the distance query. Q(k+d*U((p+k*S)%d/(d%d))); } // Looping though primitives // Find the projections of point p onto the floor plane and feed it // to the distance query. If it is the closest, evaluate the floor // texture and assign the material accordingly; otherwise assign the // letter material. // Return the distance -- we subtract off a radius of .45 to give // everything some dimension (otherwise all primitives would be // infinitely thin and we would only see the planes). return M = Q(v(p.x,-.9,p.z)) ? (int(p.x+64)^int(p.z+64))/8&1 ? Y : W : v(Y,Y,1), pow(I,H)-.45; } v R(v o, v d, f z) { // Scalar variables: // // u: distance along the ray at current point // l: distance to closest object at current point // m: primitive "material" // a: ambient occlusion parameter // // March along the ray: Get the distance D from the current ray // point to the scene geometry. If it is less than a threshold, // then we have intersected the scene, otherwise increase the // distance along the ray by l: for (f u=0, l=1, i=0, a=1; u<97; u+=l=D(o+d*u)) if (l<.01) { v p=M, n=_(P+C*S), L=_(v(S,1,2)); // Ok, we have intersected! Now compute lighting, which consists // of three terms: a Lambertian term, a specular term, and ambient // occlusion. // It's time to compute ambient occlusion now. At this point it // would be instructive to look at the linked PDF here: // // http://iquilezles.org/www/material/nvscene2008/nvscene2008.htm // // Basically, we're going to use the distance function D to get an // idea of how much "clutter" there is as we march away from the // intersecting point along the normal n. // // First update o to put it at the point of intersection, then // Take 5 steps along the normal: for (o=o+d*u; ++i<6; a -= U(i/3-D(o+n*i*.3))/pow(2,i)); // OK, we are comparing two distances here: // // i*.3 is the distance along the normal from the point of // intersection. // // The D(...) subexpression is the distance to closest point // in the scene. // // If the point of intersection was the closest thing, then // the difference below should be zero and there is no // occlusion happening. // // However, if there's non-convex geometry in that region, the // D(...) thing will be less than the i*.3 thing and we end up // contributing to a. Each time we take a step along the // normal, we reduce the "importance" of the AO computation by // a factor of 2 (occlusion at larger distances matter // exponentially less). // // Do all the lighting now: // // U(n%L)/3+.65 is a blend of 0.33 Lambertian and 0.65 // ambient, and modulates the color. // // Finally we take that entire thing and darken it up with // the ambient occlusion term that we computed above. p = p*(U(n%L)*H*Y+Y)*a; p = z ? p*Y + R(o+n*.1,d+n*-2*(d%n),z-1)*H*Y : p; // Compute a specular term and use it to linearly interpolate // between the surface color and white; this is physically // implausible, but doesn't require clamping (as does, for // instance, the Phong shading model). u=pow(U(n%_(L+d*S)),40); return p + p*-u + W*u; } // hit // Didn't hit anything, return the sky color. z=d.z*d.z; return v(z, z, 1); } ////////////////////////////////////////////////////////////////////// // Main function just prints a header and iterates through the image // pixels. int main() { // Output the portable pixmap header (binary version). // Then, for each row: for (puts("P6 600 220 255"); ++y<110;) // For each column: // x holds the horizontal pixel coordinate for (f x=-301; P = R(v(-2,4,25), _(_(v(5,0,2))*++x + _(v(-2,73))*-y + v(301,-59,-735)), 2)*255, x<300; putchar(P.z) ) // Trace a ray from origin o along direction d, and compute the // scene color at the intersection. Instead of analytic ray // tracing, this is actually "sphere tracing" by using the // distance to closest point in scene as a lower-bound of how // far we can step along the ray. putchar(P.x), putchar(P.y); // Then output each channel of the pixel as a character. (see // for loop increment above) } ================================================ FILE: src/miniray_4.0.c ================================================ #include #include #define E return typedef float f; typedef struct { f x,y,z; } v; f H=.5, Z=.33, Y=.66, I, x, y=-111; v L, W={1,1,1}, F, P, C, M, N; v G(f x, f y, f z) { v n={x,y,z}; return n; } v A(v a, v b, f c) { return G(a.x+b.x*c, a.y+b.y*c, a.z+b.z*c); } f O(v a, v b) { return a.x*b.x+a.y*b.y+a.z*b.z; } v S(v a, f s) { return G(a.x*s, a.y*s, a.z*s); } v _(v a) { return S(a, 1/sqrt(O(a,a))); } f U(f a) { return a<0?0:a>1?1:a; } f Q(v c, v m) { v D = A(P,c,-1); f d = O(D,D); return du?u:t; // Compute the point along the arc closest to p (just given by // the angle t and radius r), and feed it to the distance query. Q(A(S(k,H),G(cos(t),sin(t),0),r),F); } } // Looping though primitives N=G(0,1,0); Q(A(p,N,-O(p,N)-.9),W); M = M.x==1 && ((int)((p.x+64)/8)^(int)((p.z+64)/8))&1 ? G(Y,0,0) : M; N=A(P,C,-1); return sqrt(I)-.45; } v R(v o, v d, f z) { f u=0, l=0, i=0, a=1, k=d.z*d.z; v p, n; while (u<97) if ((l=D(p = A(o,d,u+=l)))*l<.001) { p=M; n=_(N); // Ok, we have intersected! Now compute lighting, which consists // of three terms: a Lambertian term, a specular term, and ambient // occlusion. // update o to put it at the point of intersection o=A(o,d,u); // It's time to compute ambient occlusion now. At this point it // would be instructive to look at the linked PDF here: // // http://iquilezles.org/www/material/nvscene2008/nvscene2008.htm // // Basically, we're going to use the distance function D to get an // idea of how much "clutter" there is as we march away from the // intersecting point along the normal n. // // Take 5 steps along the normal: while (++i<6) // OK, we are comparing two distances here: // // .2*i is the distance along the normal from the point of // intersection. // // The D(...) subexpression is the distance to closest point // in the scene. // // If the point of intersection was the closest thing, then // the difference below should be zero and there is no // occlusion happening. // // However, if there's non-convex geometry in that region, the // D(...) thing will be less than the .2*i thing and we end up // contributing to a. Each time we take a step along the // normal, we reduce the "importance" of the AO computation by // a factor of 2 (occlusion at larger distances matter // exponentially less). // a -= U(i/5-D(A(o,n,i/5)))/pow(2,i); // Do all the lighting now: // // v(m,m,1) is the color (white or blue) // // U(n%L)/3+.65 is a blend of 0.33 Lambertian and 0.65 // ambient, and modulates the color. // // Finally we take that entire thing and darken it up with // the ambient occlusion term that we computed above. p = S(p,(U(O(n,L))*Z+Y)*a); p = z?A(S(p,Y),R(A(o,n,.1),A(d,n,-2*O(d,n)),z-1),Z):p; // Compute a specular term and use it to linearly interpolate // between the surface color and white; this is physically // implausible, but doesn't require clamping (as does, for // instance, the Phong shading model). u=pow(U(O(n,_(A(L,d,-1)))),40); return A(S(p,1-u),W,u); } return G(k,k,1); } int main() { // Set up the lighting direction and material L=_(G(-1,1,2)); F=G(Y,Y,1); // Output the portable pixmap header (binary version). puts("P6 600 220 255"); // For each row: // y holds the vertical pixel coordinate while (++y<110) // For each column: // x holds the horizontal pixel coordinate for (x=-300;x<300;++x) { v p = S( R( G(-2,4,25), _( A( G(10.25,-2,-25) , A( S( _(G(5,0,2)), x ), _(G(-2,73,0)),-y), .034) ), 2 ), 255 ); putchar(p.x); putchar(p.y); putchar(p.z); } return 0; } ================================================ FILE: src/miniray_4.1.c ================================================ #include #include #define E return typedef float f; typedef struct { f x,y,z; } v; f H=.5, Z=.33, Y=.66, I, x, y=-111, i, j; v L, W={1,1,1}, F={.7,.7,1}, P, C, M, N, k, d; v G(f x, f y, f z) { v a; a.x=x; a.y=y; a.z=z; return a; } v A(v a, v b, f c) { return G(a.x+b.x*c, a.y+b.y*c, a.z+b.z*c); } f O(v a, v b) { return a.x*b.x+a.y*b.y+a.z*b.z; } v S(v a, f s) { return G(a.x*s, a.y*s, a.z*s); } v _(v a) { return S(a, 1/sqrt(O(a,a))); } f U(f a) { return a<0?0:a>1?1:a; } f Q(v c, v m) { v D = A(P,c,-1); f d = O(D,D); return du?u:t; // Compute the point along the arc closest to p (just given by // the angle t and radius r), and feed it to the distance query. Q(A(S(k,H),G(cos(t),sin(t),0),r),F); } } // Looping though primitives N=G(0,1,0); Q(A(p,N,-O(p,N)-.9),W); M = M.x==1 && ((int)((p.x+64)/8)^(int)((p.z+64)/8))&1 ? G(Y,0,0) : M; N=A(P,C,-1); return sqrt(I)-.45; } v R(v o, v d, f z) { f u=0, l=0, i=0, a=1, k=d.z*d.z; v p, n; while (u<97) if ((l=D(p = A(o,d,u+=l)))*l<.001) { p=M; n=_(N); // Ok, we have intersected! Now compute lighting, which consists // of three terms: a Lambertian term, a specular term, and ambient // occlusion. // update o to put it at the point of intersection o=A(o,d,u); // It's time to compute ambient occlusion now. At this point it // would be instructive to look at the linked PDF here: // // http://iquilezles.org/www/material/nvscene2008/nvscene2008.htm // // Basically, we're going to use the distance function D to get an // idea of how much "clutter" there is as we march away from the // intersecting point along the normal n. // // Take 5 steps along the normal: while (++i<6) // OK, we are comparing two distances here: // // .2*i is the distance along the normal from the point of // intersection. // // The D(...) subexpression is the distance to closest point // in the scene. // // If the point of intersection was the closest thing, then // the difference below should be zero and there is no // occlusion happening. // // However, if there's non-convex geometry in that region, the // D(...) thing will be less than the .2*i thing and we end up // contributing to a. Each time we take a step along the // normal, we reduce the "importance" of the AO computation by // a factor of 2 (occlusion at larger distances matter // exponentially less). // a -= U(i/5-D(A(o,n,i/5)))/pow(2,i); // Do all the lighting now: // // v(m,m,1) is the color (white or blue) // // U(n%L)/3+.65 is a blend of 0.33 Lambertian and 0.65 // ambient, and modulates the color. // // Finally we take that entire thing and darken it up with // the ambient occlusion term that we computed above. p = S(p,(U(O(n,L))*Z+Y)*a); p = z?A(S(p,Y),R(A(o,n,.1),A(d,n,-2*O(d,n)),z-1),Z):p; // Compute a specular term and use it to linearly interpolate // between the surface color and white; this is physically // implausible, but doesn't require clamping (as does, for // instance, the Phong shading model). u=pow(U(O(n,_(A(L,d,-1)))),40); return A(S(p,1-u),W,u); } return G(k,k,1); } int main() { // Set up the lighting direction and material L=_(G(-1,1,2)); // Output the portable pixmap header (binary version). puts("P6 600 220 255"); // For each row: // y holds the vertical pixel coordinate while (++y<110) // For each column: // x holds the horizontal pixel coordinate for (x=-300;x<300;++x) { v p = {0,0,0}; for (i=0; i<1; i+=H) for (j=0; j<1; j+=H) p = A(p, R( G(-2,4,25), _( A( G(10.25,-2,-25) , A( S( _(G(5,0,2)), x+i ), _(G(-2,73,0)),-y-j), .034) ), 2 ), 63.75 ); putchar(p.x); putchar(p.y); putchar(p.z); } return 0; } ================================================ FILE: src/miniray_4.2.c ================================================ #include #include #define E return typedef float f; f H=.5, Z=.33, Y=.66, I, y=-111, t=0, q, w, u, m, r; f U(f a) { return a<0?0:a>1?1:a; } typedef struct { f c,a,t; } v; v L, W={1,1,1}, F={.7,.7,1}, P, C, M, N, k, d, K; v G(f t, f a, f c) { K.c=t; K.a=a; K.t=c; return K; } v A(v a, v b, f c) { return G(a.c+b.c*c, a.a+b.a*c, a.t+b.t*c); } f O(v a, v b) { return a.t*b.t+a.c*b.c+a.a*b.a; } f Q(v c, v m) { K = A(P,c,-1); q = O(K,K); return qU+H*X ? L : t > U ? U : t #include #define S for #define E return typedef float f; f U(f a) { return a<0?0:a>1?1:a; } f H=.5, Y=.66, I, y=-111, T=-1, l=0, q, w, s, t, r; typedef struct { f x,y,z; } v; f O(v a, v b) { return q=a.z*b.z+b.x*a.x+a.y*b.y; } v L, W={1,1,1}, Z={0,0,0}, P, C, M, N, K, p; v G(f t, f a, f c) { K.x=t; K.z=c; K.y=a; return K; } v A(v a, v b, f c) { return G(a.x+b.x*c, a.y+c*b.y, b.z*c+a.z); } char* J = "LJFFF%7544\0#( #@@DA#(.@@%(0CAaIqDCI$IDEH%P@T@qL%PEaIpBJCAI%KBPBEP%CBPEaIqBAI%CAaIqBqDAI%U@PE%AAaIqBcDAI%ACaIaCqDCI%(aHCcIpBBH%E@aIqBAI%AAaIqB%AAaIqBEH%AAPBaIqB%PCDHxL%H@hIcBBI%E@qJBH#C@@D%aIBI@D%E@QB2P#E@'C@qJBHqJBH%C@qJBH%AAaIqBAI%C@cJ%cJCH%C@qJ%aIqB1I%PCDI`I%BAaICH%KH+@'JH+@KP*@%S@3P%H@ABhIaBBI%P@S@PC", B[999], *b=B, *j, *e, X=40, o, a, c, m, z=5; f Q() { return A(P,M,T), O(K,K)u+H*d ? l : j > u ? u : j1 ? z=0, 1[k] : J; *e; ++e) S (o=a=0, j=J+11; (c=*j)&&!(o&&*j #include #define S for #define E return typedef float f; f U(f a) { return a<0?0:a>1?1:a; } f H=.5, Y=.66, I, T=-1, l=0, q, w, u, i; typedef struct { f x,y,z; } v; f O(v a, v b) { return q=a.z*b.z+b.x*a.x+a.y*b.y; } v L, W={1,1,1}, Z={0,0,0}, B[99], P, C, M, N, K, p; int b=0, r, y=-111, (*m)(int) = putchar, o, a, c, t; v G(f t, f a, f c) { K.x=t; K.z=c; K.y=a; return K; } v A(v a, v b, f c) { return G(a.x+b.x*c, a.y+c*b.y, b.z*c+a.z); } char* J = "LJFFF%7544\0#( #@@DA#(.@@%(0CAaIqDCI$IDEH%P@T@qL%PEaIpBJCAI%KBPBEP%CBPEaIqBAI%CAaIqBqDAI%U@PE%AAaIqBcDAI%ACaIaCqDCI%(aHCcIpBBH%E@aIqBAI%AAaIqB%AAaIqBEH%AAPBaIqB%PCDHxL%H@hIcBBI%E@qJBH#C@@D%aIBI@D%E@QB2P#E@'C@qJBHqJBH%C@qJBH%AAaIqBAI%C@cJ%cJCH%C@qJ%aIqB1I%PCDI`I%BAaICH%KH+@'JH+@KP*@%S@3P%H@ABhIaBBI%P@S@PC", *j, *e, X=40, z=5; f Q() { return A(P,M,T), O(K,K)t+H*a ? o : w > t ? t : w1 ? z=0, 1[k] : J; *e; ++e) S (o=a=0, j=J+11; (c=*j)&&!(o&&c2), 1 : (o = (a = cX ? a : *++j) == ((*e|32)^z)) ; S (r=b, z=x<3, l = 10-l*H, L=_(G(T,1,2)), puts("P6 600 220 255"); ++y<110;) S (x=-301;p=Z,++x<300;m(p.x),m(p.y),m(p.z)) S (c=0; c #include #define E return #define S for /* _abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ iiivc fvfccfFiivfivif fttiFvvFPiFffcvivvFvFiPiFFvifv * * */ char* J = "LJFFF%7544x^H^XXHZZXHZ]]2#( #@@DA#(.@@%(0CAaIqDCI$IDEH%P@T@qL%PEaIpBJCAI%KBPBEP%CBPEaIqBAI%CAaIqBqDAI%U@PE%AAaIqBcDAI%ACaIaCqDCI%(aHCcIpBBH%E@aIqBAI%AAaIqB%AAaIqBEH%AAPBaIqB%PCDHxL%H@hIcBBI%E@qJBH#C@@D%aIBI@D%E@QB2P#E@'C@qJBHqJBH%C@qJBH%AAaIqBAI%C@cJ%cJCH%C@qJ%aIqB1I%PCDI`I%BAaICH%KH+@'JH+@KP*@%S@3P%H@ABhIaBBI%P@S@PC#", *j, *e; typedef float x; x U(x a) { return a<0?0:a>1?1:a; } typedef struct { x c,a,t; } y; y W={1,1,1}, Z={0,0,0}, B[99], P, C, M, N, K, p, s, d, h; y G(x t, x a, x c) { K.c=t; K.t=c; K.a=a; return K; } int T=-1, b=0, r, F=-111, (*m)(int) = putchar, X=40, z=5, o, a, c, t=0, n, R; y A(y a, y b, x c) { return G(a.c+b.c*c, a.a+c*b.a, b.t*c+a.t); } x H=.5, Y=.66, I, l=0, q, w, u, i, g; x O(y a, y b) { return q=a.t*b.t+b.c*a.c+a.a*b.a; } x Q() { return A(P,M,T), O(K,K)t+H*a ? o : w > t ? t : w1 ? 1[z=0, k] : J; *e && l<24; ++e) for (o=a=0, j=J+9; (c=*++j)&&!(o&&c2), 1 : (o = (a = (c-=X)<0 ? w=c+6, t=a+1 : c ? (t?0:m(c),a) : *++j) == ((*e|32)^z)) ); for (z=3*(L<3); ++F<110; ) for (L=-301;p=Z,++L<300;m(p.c),m(p.a),m(p.t)) for (c=T; ++c<=z;) for (h=G(-4,4.6,29), d=V( A( A( A(Z, V(G(5,0,2)), L+L+c/2 ), V(G(2,-73,0)), F+F+c%2), G(30.75,-6,-75), 20) ), g=R=255-(n=z)*64; R*n+R; g*=H) { for (u=i=R=0;!R&&94>(u+=i=D(h=A(h,d,i)));R=i<.01); for (N = V(A(P,C,T)), q = d.t*d.t, s = M, u=1; ++i<6*R; u -= U(i/3-D(A(h,N,i/3)))/pow(2,i)); s = R ? i = pow(U(O(N,V(A(M=V(G(T,1,2)),d,T)))),X), p = A(p, W, g*i), u *= U(O(N,M))*H*Y+Y, g *= n--?Y-Y*i:1-i, s : G(q, q, 1); p = A(p,s,g*u); h = A(h,N,.1); d = A(d,N,-2*O(d,N)); } return 0; } ================================================ FILE: src/miniray_4.6.c ================================================ // This file is identical to the final zucker.c entry, except for formatting. #include #include #define E return #define S for /* _abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ iiivc fvfccfFiivfivif fttiFvvFPiFffcvivvFvFiPiFFvifv * * */ char* J = "LJFFF%7544x^H^XXHZZXHZ]]2#( #@@DA#(.@@%(0CAaIqDCI$IDEH%P@T@qL%PEaIpBJCAI%KBPBEP%CBPEaIqBAI%CAaIqBqDAI%U@PE%AAaIqBcDAI%ACaIaCqDCI%(aHCcIpBBH%E@aIqBAI%AAaIqB%AAaIqBEH%AAPBaIqB%PCDHxL%H@hIcBBI%E@qJBH#C@@D%aIBI@D%E@QB2P#E@'C@qJBHqJBH%C@qJBH%AAaIqBAI%C@cJ%cJCH%C@qJ%aIqB1I%PCDI`I%BAaICH%KH+@'JH+@KP*@%S@3P%H@ABhIaBBI%P@S@PC#", *j, *e; typedef float x; x U(x a) { return a<0?0:a>1?1:a; } typedef struct { x c,a,t; } y; y W={1,1,1}, Z={0,0,0}, B[99], P, C, M, N, K, p, s, d, h; y G(x t, x a, x c) { K.c=t; K.t=c; K.a=a; return K; } int T=-1, b=0, r, F=-111, (*m)(int) = putchar, X=40, z=5, o, a, c, t=0, n, R; y A(y a, y b, x c) { return G(a.c+b.c*c, a.a+c*b.a, b.t*c+a.t); } x H=.5, Y=.66, I, l=0, q, w, u, i, g; x O(y a, y b) { return q=a.t*b.t+b.c*a.c+a.a*b.a; } x Q() { return A(P,M,T), O(K,K)t+H*a ? o : w > t ? t : w1 ? 1[z=0, k] : J; *e && l<24; ++e) for (o=a=0, j=J+9; (c=*++j)&&!(o&&c2), 1 : (o = (a = (c-=X)<0 ? w=c+6, t=a+1 : c ? (t?0:m(c),a) : *++j) == ((*e|32)^z) && 1[j]-X) ); for (z=3*(L<3); ++F<110; ) for (L=-301;p=Z,++L<300;m(p.c),m(p.a),m(p.t)) for (c=T; ++c<=z;) for (h=G(-4,4.6,29), d=V( A( A( A(Z, V(G(5,0,2)), L+L+c/2 ), V(G(2,-73,0)), F+F+c%2), G(30.75,-6,-75), 20) ), g=R=255-(n=z)*64; R*n+R; g*=H) { for (u=i=R=0;!R&&94>(u+=i=D(h=A(h,d,i)));R=i<.01); for (N = V(A(P,C,T)), q = d.t*d.t, s = M, u=1; ++i<6*R; u -= U(i/3-D(A(h,N,i/3)))/pow(2,i)); s = R ? i = pow(U(O(N,V(A(M=V(G(T,1,2)),d,T)))),X), p = A(p, W, g*i), u *= U(O(N,M))*H*Y+Y, g *= n--?Y-Y*i:1-i, s : G(q, q, 1); p = A(p,s,g*u); h = A(h,N,.1); d = A(d,N,-2*O(d,N)); } return 0; } ================================================ FILE: src/miniray_4.6_commented.c ================================================ // This file is identical to the final zucker.c entry, except for // variable and member identifers and formatting. #include #include // We start with this big ugly program data string. Its formatting is // as follows: // // Bytes 0-9 are "IOCCC 2011" xor-ed with 5 -> "LJFFF%7544" // Bytes 10-24 are "P6 600 220 255\n" plus 40 -> "x^H^XXHZZXHZ]]2" // Bytes 25 on are the font encoding table. // // The font encoding table may be decoded a byte at a time: // // - A byte less than 42 (ASCII *) is a START token that indicates // the start of a new glyph, and which also embeds the width of // the glyph by its difference from 34 (ASCII "); hence byte 35 // (ASCII #) begins a character of width 1 and byte 39 (ASCII ') // begins a character of width 5. // // - If the byte immediately following a START token is equal to 40 // (ASCII open paranethesis), it is a SETCUR token and the byte // following the SETCUR token indicates the ASCII value of the // glyph being emitted. // // - If there is no SETCUR token immediately after a START token, // the ASCII value of the glyph being emitted is one greater than // the previous glyph that was emitted. // // - Beyond an optional SETCUR / ASCII value pair, a glyph may // contain one or more strokes defined by two-byte opcodes, first // byte b0 and then byte b1, where: // // * the ARGUMENT is determined by the lowest 5 bits of b0 // * the OPCODE is determined by the next highest 2 bits of b0 // * the YCOORD is determined by the lowest 3 bits of b1 // * the XCOORD is determined by the next highest 2 bits of b1 // // There are 3 permissible OPCODE values. Each one interprets its // ARGUMENT, XCOORD, and YCOORD differently: // // * OPCODE 3 denotes an ARC. The ARGUMENT of the ARC is split // up into A0 (upper 3 bits) and A1 (lower 2 bits). A0 denotes // the starting angle in multiples of 90 degrees, and A1 // denotes the angular range in multiples of 90 // degrees. XCOORD and YCOORD specify the center of the ARC. // // * OPCODE 2 denotes a LINE. The ARGUMENT of the line is split // into a DELTAX (upper 2 bits) and DELTAY (lower 3 bits). // XCOORD and YCOORD specify the lower-left endpoint of the // LINE and the upper-right is reached by adding DELTAX and // DELTAY. // // * OPCODE 1 denotes an NLINE, which is identical to a LINE, // except that the DELTAX is interpreted to have negative // value. This is necessary for diagonal lines such as the // bottom leg of a 'k' or the center of an 's' which point // down and to the right. // // - Instructions for a glyph are terminated by a new START token or // by a terminating zero. // // Hence, the start of the font encoding table "#( #@@DA" encodes two // glyphs; the first glyph is width 1 (because of the #) and it is the // space character (because of the "( " immediately following). the // second character is also width 1 (because of the #) and it contains // the two strokes specified by "@@" and "DA". char* progdata = "LJFFF%7544x^H^XXHZZXHZ]]2#( #@@DA#(.@@%(0CAaIqDCI$IDEH%P@T@qL%PEaIpBJCAI%KBPBEP%CBPEaIqBAI%CAaIqBqDAI%U@PE%AAaIqBcDAI%ACaIaCqDCI%(aHCcIpBBH%E@aIqBAI%AAaIqB%AAaIqBEH%AAPBaIqB%PCDHxL%H@hIcBBI%E@qJBH#C@@D%aIBI@D%E@QB2P#E@'C@qJBHqJBH%C@qJBH%AAaIqBAI%C@cJ%cJCH%C@qJ%aIqB1I%PCDI`I%BAaICH%KH+@'JH+@KP*@%S@3P%H@ABhIaBBI%P@S@PC#", *fontptr, *textptr; // This was a one-letter typedef in the actual program which obviously // saved a bit of space. typedef float real; // Clamp a real number to [0,1] range real clamp(real a) { return a < 0 ? 0 : a > 1 ? 1 : a; } // Nice vec3 structure typedef struct { real c,a,t; // I like cats. } vec3; // All of these are pretty much straightforward except for // vecop_buffer, which holds the font rendering instructions decoded // from the font table (see below). vec3 ones={1,1,1}, zeros={0,0,0}, vecop_buffer[99], point, closest_point, objpoint_or_material, normal, vec3_out, pix_color, sample_color, ray_dir, march_point; // Note that vec3_out always holds the last constructed vec3, which is // duplicated by the return-by-value. vec3 make_vec3(real t, real a, real c) { // Order scrambled for obfuscation's sake vec3_out.c=t; vec3_out.t=c; vec3_out.a=a; return vec3_out; } // A bunch of ints, along with an int function (putchar) int minus_one=-1, buffer_offset=0, buffer_length, image_row=-111, (*output)(int) = putchar, forty=40, xormask_or_quality=5, lo_or_found, range_or_curglyph, fbyte_or_aacnt, hi_or_started=0, bounces, hit; // Why have separate functions for add, subtract, or multiply when // this one does all 3? // // a + b = add_scaled(a, b, 1) // a - b = add_scaled(a, b, -1) // 0.5 * a = add_scaled(zero, a, 0.5) // vec3 add_scaled(vec3 a, vec3 b, real c) { // Order scrambled for obfuscation's sake return make_vec3(a.c+b.c*c, a.a+c*b.a, b.t*c+a.t); } // A bunch of real variables and constants real half=.5, twothirds=.66, closest_dist_squared, text_width=0, dot_out_or_tmp, angle_or_width, raydist_or_brightness, curdist_or_specular, ray_contribution; // Note dot_out_or_tmp always gets set to most recent dot product. real dot(vec3 a, vec3 b) { // Order scrambled for obfuscation's sake return dot_out_or_tmp = a.t*b.t + b.c*a.c + a.a*b.a; } // This is called for every vecop pair in the vecop_buffer. The point // global has been set to the query point, and objpoint_or_material // has been set to the closest point in the current primitive. real update_distance_query() { // compute (point - objpoint_or_material) return add_scaled(point, objpoint_or_material, minus_one), // compare squared length of result to previous closest dist dot(vec3_out,vec3_out) < closest_dist_squared ? // if smaller, update closest_point and closest_dist_squared closest_point=objpoint_or_material, closest_dist_squared=dot_out_or_tmp : // otherwise do nothing 0; } // Normalize by abusing scaled add function: // // n / ||n|| = zero + n * pow(||n||, -0.5) // vec3 normalize(vec3 a) { return add_scaled(zeros, a, pow(dot(a,a),-half)); } // For the point input, this will compute and return the distance to // the closest scene primative. It will also update the // objpoint_or_material to reflect the material of the closest object // (blue for text, red or white for floor). real dist_to_scene(vec3 point_or_vecop) { // This loop initializes global closest_dist_squared to a big number // and point to the function's argument. We will iterate over pairs // of vectors in the vecop_buffer using buffer_offset up to the // given buffer_length. for (closest_dist_squared=forty, point=point_or_vecop, buffer_offset=minus_one; // The first item in the vecop_buffer pair becomes objpoint // (arc center or line endpoint). The second item denotes line // displacement or arc angle. Note we also offset the // x-coordinate of the objpoint to approximately center the // text. The last thing we do here is bail out of the loop if // we are past end-of-buffer. objpoint_or_material = vecop_buffer[++buffer_offset], point_or_vecop = vecop_buffer[objpoint_or_material.c+=8.8-text_width*.45, ++buffer_offset], buffer_offset<=buffer_length; // After each loop iteration, we should update the distance // query but of course this doesn't get evaluated until after // the code below. update_distance_query()) // Currently objpoint is arc center or line endpoint. We must // update it to the closest point on the primitive (arc or line) // to the current point. First we check if we are arc (op.t!=0) or // line (op.t=1): objpoint_or_material = point_or_vecop.t ? ////////////////////////////////////////////////// // We are an arc // Quantize angles to 90 degree increments dot_out_or_tmp = M_PI*half, // Get the actual angle and divide by 90 degrees. We will now // need to clamp the angle to deal with the arc endpoints // nicely. angle_or_width=atan2(point.a-objpoint_or_material.a, point.c-objpoint_or_material.c)/dot_out_or_tmp, // op.c encodes lower bound of angle lo_or_found=point_or_vecop.c-2, // op.a encodes upper bound of angle range_or_curglyph=point_or_vecop.a+1, // Get the upper end of the range hi_or_started=lo_or_found+range_or_curglyph, // Now clamp! Note we scale overall result by 90 degrees angle_or_width = dot_out_or_tmp*( // did we wrap past the upper end of the range? angle_or_width>hi_or_started+half*range_or_curglyph ? // if so go low lo_or_found : // otherwise greater than upper end? angle_or_width > hi_or_started ? // then go hi hi_or_started : // did we wrap past the lower end of the range? angle_or_width 1), or from progdata table above, // in which case they have to be XOR-ed with 5 to get the actual // text. for (// Was a string provided on the command line? textptr = argc_or_image_col>1 ? // If so, initialize textptr from argv[1] and clear XOR mask 1[xormask_or_quality=0, argv] : // else, initialize textptr from progdata. progdata; // Go until terminating 0 or text too wide *textptr && text_width<24; // Increment textptr each iteration. ++textptr) // Inner loop is over the font table encoded in progdata (see // explanation at top). For each text character, we need to try to // find the corresponding glyph in the font and push all of its // strokes into the vecop_buffer, two vectors at a time. for (// Initialize found to false // Initialize range_or_curglyph to zero ??? lo_or_found=range_or_curglyph=0, // Start 10 characters into the text (after "ioccc 2011") // but we increment fontptr before dereferencing it because // gross, so just offset by 9 here. fontptr=progdata+9; // Read the next byte from the font table (stop if we // hit a terminating 0). (fbyte_or_aacnt=*++fontptr) && // Keep going as long as one of these holds: // // - lo_or_found is zero (haven't found char) // - fbyte_or_aacnt >= 40 (lower ones are space !"#$%&') // // This means that once lo_or_found is nonzero and we hit a // START token or a null zero, we are done. // // Since logical AND is short-circuiting, the update to // dot_out_or_tmp only happens if found is true and the // current character is greater than or equal to 40. // // Once that happens, we exit the loop because all three // conditions inside these parens are true, making the // entire thing false when NOT-ed. !(lo_or_found && fbyte_or_aacnt2), // Just a NOP because the ternary operator we're inside of // here is of type int. 1 : ////////////////////////////////////////////////// // Glyph not found yet. // Try to update our found variable... (lo_or_found = ////////////////////////////////////////////////////////////////////// // Update cur glyph according to current font table byte. (range_or_curglyph = // Subtract 40 from current font table byte. Less than zero? (fbyte_or_aacnt-=forty) < 0 ? ////////////////////////////////////////////////// // Yes, less than zero, so this is a START token. // Glyph width given by byte - 34 = byte - 40 + 6 angle_or_width=fbyte_or_aacnt+6, // Increment cur glyph and mark state as started. hi_or_started=range_or_curglyph+1 : ////////////////////////////////////////////////// // Was font table byte nonzero after subtracting 40? fbyte_or_aacnt ? // Yes, nonzero. ( // Now see if we have started seeing font table // bytes yet, or if we are still going thru the // PPM header. hi_or_started? // Yes, we have started, so NOP. 0 : // Not started, so emit the current fbyte_or_aacnt (to // generate PPM header) output(fbyte_or_aacnt), // Comma says ignore results of previous ternary // operator and leave range_or_curglyph unchanged range_or_curglyph ) : ////////////////////////////////////////////////// // Font table byte was 40 (SETCUR token), so set // current glyph to next byte in font table. *++fontptr) ////////////////////////////////////////////////////////////////////// // Compare the newly-updated cur glyph to... == // The current text character, OR'ed with 32 to put in // range of 32-63 or 96-127 (forces lowercase), and XOR'ed // with mask to deobfuscate "ioccc 2011" from progdata. ((*textptr|32)^xormask_or_quality) && //////////////////////////////////////// // Need to clear found bit whenever we hit a SETCUR token. 1[fontptr]-forty) ); // Empty for loop ////////////////////////////////////////////////// // Step 2: Generate the dang image. // // All of the techniques here are based upon the PDF presentation at // http://iquilezles.org/www/material/nvscene2008/nvscene2008.htm // // Iterate over image rows. Note xormask_or_quality gets value 0 in // preview mode, and 3 in high-quality mode. for (xormask_or_quality=3*(argc_or_image_col<3); ++image_row<110; ) // Iterate over image columns. for (argc_or_image_col=-301; // Initialize the pixel color to zero, 600 cols total pix_color=zeros, ++argc_or_image_col<300; // Output pixel after each iteration. output(pix_color.c),output(pix_color.a),output(pix_color.t)) // Iterate over AA samples: either 1 (preview) or 4 (high-quality). for (fbyte_or_aacnt=minus_one; ++fbyte_or_aacnt<=xormask_or_quality;) // Shade this sample. This for loop iterates over the initial // ray as well as reflection rays (in high quality mode). for (// Start marching at the shared ray origin march_point=make_vec3(-4,4.6,29), // Starting direction is a function of image row/column // and AA sample number. ray_dir=normalize( add_scaled( add_scaled( add_scaled(zeros, normalize(make_vec3(5,0,2)), argc_or_image_col + argc_or_image_col + fbyte_or_aacnt/2 ), normalize(make_vec3(2,-73,0)), image_row+image_row+fbyte_or_aacnt%2), make_vec3(30.75,-6,-75), 20) ), // The initial ray contribution is 255 for preview mode // or 63 for each AA sample in high-quality mode // (adding 4 of them gets you 252 which is close // enough). // // Also, here bounces is initialized to 3 in // high-quality mode or 0 in preview mode. ray_contribution=hit= 255-(bounces=xormask_or_quality)*64; // The bounces variable acts as a counter for remaining // bounces; at the start, bounces is non-negative and hit // is non-zero so the loop always runs at least once. It // will stop when hit is 0 or hit is 1 and bounces is -1. hit*bounces+hit; // After each iteration (reflection), ray contribution // scales by 0.5. ray_contribution*=half) { // Perform the actual ray march using sphere tracing: for (// Initialize ray distance, current distance, and hit to 0 raydist_or_brightness=curdist_or_specular=hit=0; // Keep going until hit or ray distance exceeds 94 units. // Note ray distance always incremented by current. !hit && 94 > (raydist_or_brightness+= // Obtain distance to scene at current point curdist_or_specular=dist_to_scene( // Update current point by moving by current // distance along ray direction march_point = add_scaled( march_point, ray_dir, curdist_or_specular))); // After each ray update, set hit=1 if current // distance to scene primitive is less than 0.1 hit=curdist_or_specular<.01); // Done with ray marching! // // Now point is equal to march_point, closest_point holds // the closest point in the scene to the current ray // point, and objpoint_or_material holds the material // color of the closest object. // Now fake ambient occlusion loop (see iq's PDF for explanation): for (// Compute scene normal at intersection normal = normalize(add_scaled(point,closest_point,minus_one)), // This is actually included here to initialize the // sky color below (gross). dot_out_or_tmp = ray_dir.t*ray_dir.t, // Also used below but initialized here. sample_color = objpoint_or_material, // Start at full brightness raydist_or_brightness=1; // 5 iterations if we hit something, 0 if not (saves // wrapping for loop in if statement). ++curdist_or_specular<6*hit; // AO with exponential decay raydist_or_brightness -= clamp(curdist_or_specular / 3 - dist_to_scene( add_scaled(march_point, normal, curdist_or_specular/3))) / pow(2,curdist_or_specular)); // AO has been computed, time to get the final color of // this ray sample. Note sample_color has been initialized // to material of closest primative above. sample_color = hit ? // Did this ray hit? ////////////////////////////////////////////////// // Yes, the ray hit. // Get the Blinn-Phong specular coefficient as dot // product between normal and halfway vector, raised to // high power. curdist_or_specular = pow(clamp(dot(normal, // normalize halfway vector normalize( // create halfway vector add_scaled( // objpoint_or_material is now light direcection objpoint_or_material=normalize(make_vec3(minus_one,1,2)), ray_dir, minus_one)))), // raised to the 40th power forty), // Mix in white color for specular pix_color = add_scaled(pix_color, ones, ray_contribution*curdist_or_specular), // Take the brightness computed during AO and modulate // it with diffuse and ambient light. raydist_or_brightness *= // Diffuse - objpoint_or_material is light direction clamp(dot(normal, objpoint_or_material))*half*twothirds + // Ambient twothirds, // Modulate ray_contribution after hit ray_contribution *= bounces-- ? // Are there any bounces left? // Yes, there are bounces left, so this hit should // account for 2/3 of the remaining energy (the next // will account for the final 1/3). We need to remove // the additive component already taken by specular, // however. twothirds - twothirds * curdist_or_specular : // No, there are no bounces left, so just use up // all the energy not taken by specular. 1-curdist_or_specular, // Now after all of that, we're actually going to leave // sample_color unchanged (i.e. whatever closest // primitive material color was). sample_color : ////////////////////////////////////////////////// // Nope, ray missed. Remember when we initialized // dot_out_or_tmp to contain z^2 above? We now use that // to shade the sky, which gets white along the +/- z // axis, and blue elsewhere. make_vec3(dot_out_or_tmp, dot_out_or_tmp, 1); // Add the weighted sample_color into the pixel color. pix_color = add_scaled(pix_color, sample_color, ray_contribution*raydist_or_brightness); // Pop out from the object a bit before starting to march // the reflection ray so we don't immediately detect the // same intersection that we're on. march_point = add_scaled(march_point,normal,.1); // Update the ray direction to be the reflection direction // using the usual calculation. ray_dir = add_scaled(ray_dir,normal,-2*dot(ray_dir,normal)); } return 0; } ================================================ FILE: src/zucker.c ================================================ #include #include #define E return #define S for char*J="LJFFF%7544x^H^XXHZZXHZ]]2#( #@@DA#(.@@%(0CAaIqDCI$IDEH%P@T@qL%PEaIpBJCA\ I%KBPBEP%CBPEaIqBAI%CAaIqBqDAI%U@PE%AAaIqBcDAI%ACaIaCqDCI%(aHCcIpBBH%E@aIqBAI%A\ AaIqB%AAaIqBEH%AAPBaIqB%PCDHxL%H@hIcBBI%E@qJBH#C@@D%aIBI@D%E@QB2P#E@'C@qJBHqJBH\ %C@qJBH%AAaIqBAI%C@cJ%" "cJ" "CH%C@qJ%aIqB1I%PCDI`I%BAaICH%KH+@'JH+@KP*@%S@\ 3P%H@ABhIaBBI%P@S@PC#", *j ,*e;typedef float x;x U(x a){E a<0?0:a>1?1:a; } typedef struct{x c,a,t; } y;y W={1,1,1},Z={0,0,0},B[99],P,C,M,N,K,p,s,d,h ;y G(x t,x a,x c){K.c=t ; K.t=c; K.a=a;E K;}int T=-1,b=0,r,F=-111,(*m)(i\ nt)=putchar,X=40,z=5,o, a, c,t=0 ,n,R;y A(y a,y b,x c){E G(a.c+b.c*c,a.a +c*b.a,b.t*c+a.t);}x H= .5,Y =.66 ,I,l=0,q,w,u,i,g;x O(y a,y b){E q=a.t* b.t+b.c*a.c+a.a*b.a;}x Q(){E A(P,M,T ),O(K,K)t+H*a?o: w>t?t:w1?1[z= 0, k]:J ;*e &&l<24 ; ++e)S(o=a =0,j =J+9;(c= *++j)&& !(o&&c< X&&(q=l+=w) );o ?o=*j++/ 32,b++[B] =G(q +=*j/8&3,* j&7,0 ),B[r =b++]=G((c/8& 3)*( o<2? T:1), (c& 7)+ 1e-4,o>2),1: (o =(a =(c-=X)<0?w=c+6 ,t= a+1:c?(t ?0:m(c),a ):*++j)==((*e|32 ) ^z)&&1[j]-X));S(z =3*( L<3);++ F<110;)S(L=-301;p=Z,++L<300;m( p.c),m(p.a),m(p.t))S(c=T;++c<=z;)S(h =G(-4,4.6,29),d=V(A(A(A(Z,V(G(5,0 ,2)),L+L+c/2),V(G(2,-73,0)),F+F+c%2),G (30.75,-6,-75),20)),g=R=255-(n=z)*64; R*n+R;g*=H){S(u=i=R=0;!R&&94>(u+=i=D(h= A(h,d,i)));R=i<.01);S(N=V(A(P,C, T)),q=d.t*d.t,s=M,u=1;++i<6*R;u-= U(i/3-D(A(h,N,i/3)))/pow( 2,i));s=R?i=pow(U(O(N,V(A( M=V(G(T,1,2)),d,T)))) ,X),p=A(p,W,g*i),u*=U( O(N,M))*H*Y+Y,g*= n--?Y-Y*i:1-i,s:G( q,q,1); p=A(p,s ,g*u);h=A(h,N,.1 );d=A(d,N,-2*O (d,N));}E 0;}