skia2/tools/pathops_visualizer.htm
caryclark ef784fb7f5 More conic-specific tests revealed a few conic-specific bugs. Because javascript / canvas make visualizing conics tricky, new native tools are required.
The utility SubsetPath removes parts of a potentially very large path to isolate a minimal test case. SubsetPath is very useful for debugging path ops, but is not path ops specific.

PathOpsBuilderConicTest compares the output of the Path Ops Builder, sequential calls to Simplify, and SkRegions for some number of rotated ovals.

Some tests caused path ops to hang. It was caught adding a loop of curves because the head was not found by the tail. Even though the root cause has been fixed, SkSegment::addCurveTo callers now abort the path op if the same curve was added twice.

The subdivided conic weight was been computed anew. Fortunately, it's a simpler computation that the one it replaces.

Some Simplify() subroutines returned false to signal that the results needed assembling. Change these to abort the current operation instead.

Coincident curve intersection triggered two small bugs; one where no perpendicular could be found for coincident curves, and one where no coincident curves remain after looping.

The SixtyOvals test can be run through multiple processes instead of multiple threads. This strategy allows a 48 core machine to saturate all cores at 100%.

The DEBUG_VISUALIZE_CONICS code in PathOpsConicIntersectionTest acknowleges that it is easier to visualize conics with Skia than with script and html canvas. This test also verifies that path ops subdivision matches geometry chopping.

TBR=reed@google.com

Review URL: https://codereview.chromium.org/1405383004
2015-10-30 12:03:06 -07:00

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Skia UnitTests: --match PathOpsSkp$ --resourcePath resources\ SK_DEBUG
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var SPAN_Y4 = SPAN_X4 + 1;
var SPAN_C_T = SPAN_Y4 + 1;
var SPAN_C_TX = SPAN_C_T + 1;
var SPAN_C_TY = SPAN_C_TX + 1;
var SPAN_C_TEND = SPAN_C_TY + 1;
var SPAN_C_OTHER = SPAN_C_TEND + 1;
var SPAN_C_OTHERT = SPAN_C_OTHER + 1;
var SPAN_C_OTHERI = SPAN_C_OTHERT + 1;
var SPAN_C_SUM = SPAN_C_OTHERI + 1;
var SPAN_C_VAL = SPAN_C_SUM + 1;
var SPAN_C_OPP = SPAN_C_VAL + 1;
var ACTIVE_LINE_SPAN = 1;
var ACTIVE_QUAD_SPAN = ACTIVE_LINE_SPAN + 1;
var ACTIVE_CONIC_SPAN = ACTIVE_QUAD_SPAN + 1;
var ACTIVE_CUBIC_SPAN = ACTIVE_CONIC_SPAN + 1;
var ADD_MOVETO = ACTIVE_CUBIC_SPAN + 1;
var ADD_LINETO = ADD_MOVETO + 1;
var ADD_QUADTO = ADD_LINETO + 1;
var ADD_CONICTO = ADD_QUADTO + 1;
var ADD_CUBICTO = ADD_CONICTO + 1;
var ADD_CLOSE = ADD_CUBICTO + 1;
var ADD_FILL = ADD_CLOSE + 1;
var PATH_LINE = ADD_FILL + 1;
var PATH_QUAD = PATH_LINE + 1;
var PATH_CONIC = PATH_QUAD + 1;
var PATH_CUBIC = PATH_CONIC + 1;
var INTERSECT_LINE = PATH_CUBIC + 1;
var INTERSECT_LINE_2 = INTERSECT_LINE + 1;
var INTERSECT_LINE_NO = INTERSECT_LINE_2 + 1;
var INTERSECT_QUAD_LINE = INTERSECT_LINE_NO + 1;
var INTERSECT_QUAD_LINE_2 = INTERSECT_QUAD_LINE + 1;
var INTERSECT_QUAD_LINE_NO = INTERSECT_QUAD_LINE_2 + 1;
var INTERSECT_QUAD = INTERSECT_QUAD_LINE_NO + 1;
var INTERSECT_QUAD_2 = INTERSECT_QUAD + 1;
var INTERSECT_QUAD_NO = INTERSECT_QUAD_2 + 1;
var INTERSECT_CONIC_LINE = INTERSECT_QUAD_NO + 1;
var INTERSECT_CONIC_LINE_2 = INTERSECT_CONIC_LINE + 1;
var INTERSECT_CONIC_LINE_NO = INTERSECT_CONIC_LINE_2 + 1;
var INTERSECT_CONIC = INTERSECT_CONIC_LINE_NO + 1;
var INTERSECT_CONIC_2 = INTERSECT_CONIC + 1;
var INTERSECT_CONIC_NO = INTERSECT_CONIC_2 + 1;
var INTERSECT_SELF_CUBIC = INTERSECT_CONIC_NO + 1;
var INTERSECT_SELF_CUBIC_NO = INTERSECT_SELF_CUBIC + 1;
var INTERSECT_CUBIC_LINE = INTERSECT_SELF_CUBIC_NO + 1;
var INTERSECT_CUBIC_LINE_2 = INTERSECT_CUBIC_LINE + 1;
var INTERSECT_CUBIC_LINE_3 = INTERSECT_CUBIC_LINE_2 + 1;
var INTERSECT_CUBIC_LINE_NO = INTERSECT_CUBIC_LINE_3 + 1;
var INTERSECT_CUBIC_QUAD = INTERSECT_CUBIC_LINE_NO + 1;
var INTERSECT_CUBIC_QUAD_2 = INTERSECT_CUBIC_QUAD + 1;
var INTERSECT_CUBIC_QUAD_3 = INTERSECT_CUBIC_QUAD_2 + 1;
var INTERSECT_CUBIC_QUAD_4 = INTERSECT_CUBIC_QUAD_3 + 1;
var INTERSECT_CUBIC_QUAD_NO = INTERSECT_CUBIC_QUAD_4 + 1;
var INTERSECT_CUBIC = INTERSECT_CUBIC_QUAD_NO + 1;
var INTERSECT_CUBIC_2 = INTERSECT_CUBIC + 1;
var INTERSECT_CUBIC_3 = INTERSECT_CUBIC_2 + 1;
var INTERSECT_CUBIC_4 = INTERSECT_CUBIC_3 + 1;
// FIXME: add cubic 5- 9
var INTERSECT_CUBIC_NO = INTERSECT_CUBIC_4 + 1;
var SORT_UNARY = INTERSECT_CUBIC_NO + 1;
var SORT_BINARY = SORT_UNARY + 1;
var OP_DIFFERENCE = SORT_BINARY + 1;
var OP_INTERSECT = OP_DIFFERENCE + 1;
var OP_UNION = OP_INTERSECT + 1;
var OP_XOR = OP_UNION + 1;
var MARK_LINE = OP_XOR + 1;
var MARK_QUAD = MARK_LINE + 1;
var MARK_CONIC = MARK_QUAD + 1;
var MARK_CUBIC = MARK_CONIC + 1;
var MARK_DONE_LINE = MARK_CUBIC + 1;
var MARK_DONE_QUAD = MARK_DONE_LINE + 1;
var MARK_DONE_CONIC = MARK_DONE_QUAD + 1;
var MARK_DONE_CUBIC = MARK_DONE_CONIC + 1;
var MARK_UNSORTABLE_LINE = MARK_DONE_CUBIC + 1;
var MARK_UNSORTABLE_QUAD = MARK_UNSORTABLE_LINE + 1;
var MARK_UNSORTABLE_CONIC = MARK_UNSORTABLE_QUAD + 1;
var MARK_UNSORTABLE_CUBIC = MARK_UNSORTABLE_CONIC + 1;
var MARK_SIMPLE_LINE = MARK_UNSORTABLE_CUBIC + 1;
var MARK_SIMPLE_QUAD = MARK_SIMPLE_LINE + 1;
var MARK_SIMPLE_CONIC = MARK_SIMPLE_QUAD + 1;
var MARK_SIMPLE_CUBIC = MARK_SIMPLE_CONIC + 1;
var MARK_SIMPLE_DONE_LINE = MARK_SIMPLE_CUBIC + 1;
var MARK_SIMPLE_DONE_QUAD = MARK_SIMPLE_DONE_LINE + 1;
var MARK_SIMPLE_DONE_CONIC = MARK_SIMPLE_DONE_QUAD + 1;
var MARK_SIMPLE_DONE_CUBIC = MARK_SIMPLE_DONE_CONIC + 1;
var MARK_DONE_UNARY_LINE = MARK_SIMPLE_DONE_CUBIC + 1;
var MARK_DONE_UNARY_QUAD = MARK_DONE_UNARY_LINE + 1;
var MARK_DONE_UNARY_CONIC = MARK_DONE_UNARY_QUAD + 1;
var MARK_DONE_UNARY_CUBIC = MARK_DONE_UNARY_CONIC + 1;
var MARK_ANGLE_LAST = MARK_DONE_UNARY_CUBIC + 1;
var COMPUTED_SET_1 = MARK_ANGLE_LAST + 1;
var COMPUTED_SET_2 = COMPUTED_SET_1 + 1;
var ANGLE_AFTER = COMPUTED_SET_2 + 1;
var ANGLE_AFTERPART = ANGLE_AFTER + 1;
var ACTIVE_OP = ANGLE_AFTERPART + 1;
var COIN_MAIN_SPAN = ACTIVE_OP + 1;
var COIN_OPP_SPAN = COIN_MAIN_SPAN + 1;
var FRAG_TYPE_LAST = COIN_OPP_SPAN;
var REC_TYPE_UNKNOWN = -1;
var REC_TYPE_PATH = 0;
var REC_TYPE_PATH2 = 1;
var REC_TYPE_SECT = 2;
var REC_TYPE_ACTIVE = 3;
var REC_TYPE_ADD = 4;
var REC_TYPE_SORT = 5;
var REC_TYPE_OP = 6;
var REC_TYPE_MARK = 7;
var REC_TYPE_COMPUTED = 8;
var REC_TYPE_COIN = 9;
var REC_TYPE_ANGLE = 10;
var REC_TYPE_ACTIVE_OP = 11;
var REC_TYPE_AFTERPART = 12;
var REC_TYPE_TOP = 13;
var REC_TYPE_COINCIDENCE = 14;
var REC_TYPE_ALIGNED = 15;
var REC_TYPE_LAST = REC_TYPE_ALIGNED;
function strs_to_nums(strs) {
var result = [];
for (var idx = 1; idx < strs.length; ++idx) {
var str = strs[idx];
var num = parseFloat(str);
if (isNaN(num)) {
result.push(str);
} else {
result.push(num);
}
}
return result;
}
function filter_str_by(id, str, regex, array) {
if (regex.test(str)) {
var strs = regex.exec(str);
var result = strs_to_nums(strs);
array.push(id);
array.push(result);
return true;
}
return false;
}
function construct_regexp2(pattern) {
var escape = pattern.replace(/[-/\\^$*+?.()|[\]{}]/g, '\\$&');
escape = escape.replace(/UNSORTABLE/g, "\\*\\*\\* UNSORTABLE \\*\\*\\*");
escape = escape.replace(/CUBIC_VAL/g, "\\(P_VAL P_VAL P_VAL P_VAL\\)");
escape = escape.replace(/CONIC_VAL/g, "\\(P_VAL P_VAL P_VAL W_VAL\\)");
escape = escape.replace(/QUAD_VAL/g, "\\(P_VAL P_VAL P_VAL\\)");
escape = escape.replace(/LINE_VAL/g, "\\(P_VAL P_VAL\\)");
escape = escape.replace(/FILL_TYPE/g, "SkPath::k[a-zA-Z]+_FillType");
escape = escape.replace(/PTR_VAL/g, "0x[0-9A-F]+");
escape = escape.replace(/PT_VAL/g, "\\(P_VAL\\)");
escape = escape.replace(/P_VAL/g, "(-?\\d+\\.?\\d*(?:e-?\\d+)?)[Ff]?, ?(-?\\d+\\.?\\d*(?:e-?\\d+)?)[Ff]?");
escape = escape.replace(/T_VAL/g, "(-?\\d+\\.?\\d*(?:e-?\\d+)?)");
escape = escape.replace(/W_VAL/g, "(-?\\d+\\.?\\d*(?:e-?\\d+)?)[Ff]?");
escape = escape.replace(/PATH/g, "pathB?");
escape = escape.replace(/IDX/g, "(-?\\d+)");
escape = escape.replace(/NUM/g, "(-?\\d+)");
escape = escape.replace(/OPT/g, "(\\?|-?\\d+)");
return new RegExp(escape, 'i');
}
function construct_regexp2c(pattern) {
var escape = pattern.replace(/[-/\\^$*+?.()|[\]{}]/g, '\\$&');
escape = escape.replace(/UNSORTABLE/g, "\\*\\*\\* UNSORTABLE \\*\\*\\*");
escape = escape.replace(/CUBIC_VAL/g, "(?:\\$\\d = )?\\{\\{\\{P_VAL\\}, \\{P_VAL\\}, \\{P_VAL\\}, \\{P_VAL\\}\\}\\}");
escape = escape.replace(/CONIC_VAL/g, "(?:\\$\\d = )?\\{\\{\\{\\{P_VAL\\}, \\{P_VAL\\}, \\{P_VAL\\}\\}\\}, W_VAL\\}");
escape = escape.replace(/QUAD_VAL/g, "(?:\\$\\d = )?\\{\\{\\{P_VAL\\}, \\{P_VAL\\}, \\{P_VAL\\}\\}\\}");
escape = escape.replace(/LINE_VAL/g, "(?:\\$\\d = )?\\{\\{\\{P_VAL\\}, \\{P_VAL\\}\\}\\}");
escape = escape.replace(/FILL_TYPE/g, "SkPath::k[a-zA-Z]+_FillType");
escape = escape.replace(/PTR_VAL/g, "0x[0-9A-F]+");
escape = escape.replace(/PT_VAL/g, "\\{\\{P_VAL\\}\\}");
escape = escape.replace(/P_VAL/g, "(?:f?[xX] = )?(-?\\d+\\.?\\d*(?:e-?\\d+)?)[Ff]?, *(?: f?[yY] = )?(-?\\d+\\.?\\d*(?:e-?\\d+)?)[Ff]?");
escape = escape.replace(/T_VAL/g, "(-?\\d+\\.?\\d*(?:e-?\\d+)?)");
escape = escape.replace(/W_VAL/g, "(-?\\d+\\.?\\d*(?:e-?\\d+)?)[Ff]?");
escape = escape.replace(/OPER/g, "[a-z]+");
escape = escape.replace(/PATH/g, "pathB?");
escape = escape.replace(/T_F/g, "([TF])");
escape = escape.replace(/IDX/g, "(-?\\d+)");
escape = escape.replace(/NUM/g, "(-?\\d+)");
escape = escape.replace(/OPT/g, "(\\?|-?\\d+)");
return new RegExp(escape, 'i');
}
function match_regexp(str, lineNo, array, id, pattern) {
var regex = construct_regexp2(pattern);
if (filter_str_by(id, str, regex, array)) {
return true;
}
regex = construct_regexp2c(pattern);
return filter_str_by(id, str, regex, array);
}
function endsWith(str, suffix) {
return str.indexOf(suffix, str.length - suffix.length) !== -1;
}
function parse_all(test) {
var lines = test.match(/[^\r\n]+/g);
var records = []; // a rec can be the original paths, a set of intersections, a set of active spans, a sort, or a path add
var record = [];
var recType = REC_TYPE_UNKNOWN;
var lastLineNo;
var moveX, moveY;
for (var lineNo = 0; lineNo < lines.length; ++lineNo) {
var line = lines[lineNo];
if (line.length == 0) {
continue;
}
var opStart = "SkOpSegment::";
if (line.lastIndexOf(opStart, 0) === 0) {
line = line.substr(opStart.length);
}
var angleStart = "SkOpAngle::";
if (line.lastIndexOf(angleStart, 0) === 0) {
line = line.substr(angleStart.length);
}
var coinStart = "SkOpCoincidence::";
if (line.lastIndexOf(coinStart, 0) === 0) {
line = line.substr(coinStart.length);
}
var type = line.lastIndexOf("debugShowActiveSpans", 0) === 0 ? REC_TYPE_ACTIVE
: line.lastIndexOf("debugShowCoincidence", 0) === 0 ? REC_TYPE_COINCIDENCE
: line.lastIndexOf("((SkOpSegment*)", 0) === 0 ? REC_TYPE_PATH2
: line.lastIndexOf("debugShowTs", 0) === 0 ? REC_TYPE_COIN
: line.lastIndexOf("afterPart", 0) === 0 ? REC_TYPE_AFTERPART
: line.lastIndexOf("debugShow", 0) === 0 ? REC_TYPE_SECT
: line.lastIndexOf("activeOp", 0) === 0 ? REC_TYPE_ACTIVE_OP
: line.lastIndexOf("computed", 0) === 0 ? REC_TYPE_COMPUTED
: line.lastIndexOf("debugOne", 0) === 0 ? REC_TYPE_SORT
: line.lastIndexOf("aligned=", 0) === 0 ? REC_TYPE_ALIGNED
: line.lastIndexOf("dumpOne", 0) === 0 ? REC_TYPE_SORT
: line.lastIndexOf("findTop", 0) === 0 ? REC_TYPE_TOP
: line.lastIndexOf("pathB.", 0) === 0 ? REC_TYPE_ADD
: line.lastIndexOf("path.", 0) === 0 ? REC_TYPE_ADD
: line.lastIndexOf("after", 0) === 0 ? REC_TYPE_ANGLE
: line.lastIndexOf("mark", 0) === 0 ? REC_TYPE_MARK
: line.lastIndexOf(" {{", 0) === 0 ? REC_TYPE_COMPUTED
: line.lastIndexOf("seg=", 0) === 0 ? REC_TYPE_PATH
: line.lastIndexOf("op", 0) === 0 ? REC_TYPE_OP
: line.lastIndexOf("$", 0) === 0 ? REC_TYPE_PATH
: REC_TYPE_UNKNOWN;
if (recType != type || recType == REC_TYPE_ADD || recType == REC_TYPE_SECT
|| recType == REC_TYPE_ACTIVE_OP || recType == REC_TYPE_ANGLE) {
if (recType != REC_TYPE_UNKNOWN) {
records.push(recType);
records.push(lastLineNo);
records.push(record);
}
record = [];
recType = type;
lastLineNo = lineNo;
}
var found = false;
switch (recType) {
case REC_TYPE_ACTIVE:
found = match_regexp(line, lineNo, record, ACTIVE_LINE_SPAN, "debugShowActiveSpans" +
" id=IDX LINE_VAL t=T_VAL PT_VAL tEnd=T_VAL windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, ACTIVE_QUAD_SPAN, "debugShowActiveSpans" +
" id=IDX QUAD_VAL t=T_VAL PT_VAL tEnd=T_VAL windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, ACTIVE_CONIC_SPAN, "debugShowActiveSpans" +
" id=IDX CONIC_VAL t=T_VAL PT_VAL tEnd=T_VAL windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, ACTIVE_CUBIC_SPAN, "debugShowActiveSpans" +
" id=IDX CUBIC_VAL t=T_VAL PT_VAL tEnd=T_VAL windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, ACTIVE_LINE_SPAN, "debugShowActiveSpans" +
" id=IDX LINE_VAL t=T_VAL PT_VAL tEnd=T_VAL windSum=OPT oppSum=OPT windValue=IDX oppValue=NUM"
) || match_regexp(line, lineNo, record, ACTIVE_QUAD_SPAN, "debugShowActiveSpans" +
" id=IDX QUAD_VAL t=T_VAL PT_VAL tEnd=T_VAL windSum=OPT oppSum=OPT windValue=IDX oppValue=NUM"
) || match_regexp(line, lineNo, record, ACTIVE_CONIC_SPAN, "debugShowActiveSpans" +
" id=IDX CONIC_VAL t=T_VAL PT_VAL tEnd=T_VAL windSum=OPT oppSum=OPT windValue=IDX oppValue=NUM"
) || match_regexp(line, lineNo, record, ACTIVE_CUBIC_SPAN, "debugShowActiveSpans" +
" id=IDX CUBIC_VAL t=T_VAL PT_VAL tEnd=T_VAL windSum=OPT oppSum=OPT windValue=IDX oppValue=NUM"
);
break;
case REC_TYPE_ACTIVE_OP:
found = match_regexp(line, lineNo, record, ACTIVE_OP, "activeOp" +
" id=IDX t=T_VAL tEnd=T_VAL op=OPER miFrom=NUM miTo=NUM suFrom=NUM suTo=NUM result=IDX"
);
break;
case REC_TYPE_ADD:
if (match_regexp(line, lineNo, record, ADD_MOVETO, "PATH.moveTo(P_VAL);")) {
moveX = record[1][0];
moveY = record[1][1];
found = true;
} else if (match_regexp(line, lineNo, record, ADD_LINETO, "PATH.lineTo(P_VAL);")) {
record[1].unshift(moveY);
record[1].unshift(moveX);
moveX = record[1][2];
moveY = record[1][3];
found = true;
} else if (match_regexp(line, lineNo, record, ADD_QUADTO, "PATH.quadTo(P_VAL, P_VAL);")) {
record[1].unshift(moveY);
record[1].unshift(moveX);
moveX = record[1][4];
moveY = record[1][5];
found = true;
} else if (match_regexp(line, lineNo, record, ADD_CONICTO, "PATH.conicTo(P_VAL, P_VAL, T_VAL);")) {
record[1].unshift(moveY);
record[1].unshift(moveX);
moveX = record[1][4];
moveY = record[1][5];
found = true;
} else if (match_regexp(line, lineNo, record, ADD_CUBICTO, "PATH.cubicTo(P_VAL, P_VAL, P_VAL);")) {
record[1].unshift(moveY);
record[1].unshift(moveX);
moveX = record[1][6];
moveY = record[1][7];
found = true;
} else if (match_regexp(line, lineNo, record, ADD_FILL, "PATH.setFillType(FILL_TYPE);")) {
found = true;
} else {
found = match_regexp(line, lineNo, record, ADD_CLOSE, "PATH.close();");
}
break;
case REC_TYPE_AFTERPART:
found = match_regexp(line, lineNo, record, PATH_LINE, "afterPart LINE_VAL")
|| match_regexp(line, lineNo, record, PATH_QUAD, "afterPart QUAD_VAL")
|| match_regexp(line, lineNo, record, PATH_CONIC, "afterPart CONIC_VAL")
|| match_regexp(line, lineNo, record, PATH_CUBIC, "afterPart CUBIC_VAL")
break;
case REC_TYPE_ALIGNED:
found = match_regexp(line, lineNo, record, PATH_LINE, "aligned=IDX LINE_VAL"
) || match_regexp(line, lineNo, record, PATH_QUAD, "aligned=IDX QUAD_VAL"
) || match_regexp(line, lineNo, record, PATH_CONIC, "aligned=IDX CONIC_VAL"
) || match_regexp(line, lineNo, record, PATH_CUBIC, "aligned=IDX CUBIC_VAL"
);
break;
case REC_TYPE_ANGLE:
found = match_regexp(line, lineNo, record, ANGLE_AFTER, "after " +
"[IDX/IDX] NUM/NUM tStart=T_VAL tEnd=T_VAL < [IDX/IDX] NUM/NUM tStart=T_VAL tEnd=T_VAL < [IDX/IDX] NUM/NUM tStart=T_VAL tEnd=T_VAL T_F IDX");
break;
case REC_TYPE_COIN:
found = true;
break;
case REC_TYPE_COINCIDENCE:
found = match_regexp(line, lineNo, record, COIN_MAIN_SPAN, "debugShowCoincidence" +
" + id=IDX t=T_VAL tEnd=T_VAL"
) || match_regexp(line, lineNo, record, COIN_OPP_SPAN, "debugShowCoincidence" +
" - id=IDX t=T_VAL tEnd=T_VAL"
);
break;
case REC_TYPE_COMPUTED:
found = line == "computed quadratics given"
|| match_regexp(line, lineNo, record, COMPUTED_SET_1, "computed quadratics set 1"
) || match_regexp(line, lineNo, record, COMPUTED_SET_2, "computed quadratics set 2"
) || match_regexp(line, lineNo, record, PATH_QUAD, " QUAD_VAL,"
) || match_regexp(line, lineNo, record, PATH_CONIC, " CONIC_VAL,"
) || match_regexp(line, lineNo, record, PATH_CUBIC, " CUBIC_VAL,"
);
break;
case REC_TYPE_PATH:
found = match_regexp(line, lineNo, record, PATH_LINE, "seg=IDX LINE_VAL"
) || match_regexp(line, lineNo, record, PATH_QUAD, "seg=IDX QUAD_VAL"
) || match_regexp(line, lineNo, record, PATH_CONIC, "seg=IDX CONIC_VAL"
) || match_regexp(line, lineNo, record, PATH_CUBIC, "seg=IDX CUBIC_VAL"
);
break;
case REC_TYPE_PATH2:
found = match_regexp(line, lineNo, record, PATH_LINE, "((SkOpSegment*) PTR_VAL) [IDX] {LINE_VAL}"
) || match_regexp(line, lineNo, record, PATH_QUAD, "((SkOpSegment*) PTR_VAL) [IDX] {QUAD_VAL}"
) || match_regexp(line, lineNo, record, PATH_CONIC, "((SkOpSegment*) PTR_VAL) [IDX] {CONIC_VAL}"
) || match_regexp(line, lineNo, record, PATH_CUBIC, "((SkOpSegment*) PTR_VAL) [IDX] {CUBIC_VAL}"
);
break;
case REC_TYPE_SECT:
found = match_regexp(line, lineNo, record, INTERSECT_LINE, "debugShowLineIntersection" +
" wtTs[0]=T_VAL LINE_VAL PT_VAL wnTs[0]=T_VAL LINE_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_LINE_2, "debugShowLineIntersection" +
" wtTs[0]=T_VAL LINE_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wnTs[0]=T_VAL LINE_VAL wnTs[1]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_LINE_NO, "debugShowLineIntersection" +
" no intersect LINE_VAL LINE_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_QUAD_LINE, "debugShowQuadLineIntersection" +
" wtTs[0]=T_VAL QUAD_VAL PT_VAL wnTs[0]=T_VAL LINE_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_QUAD_LINE_2, "debugShowQuadLineIntersection" +
" wtTs[0]=T_VAL QUAD_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wnTs[0]=T_VAL LINE_VAL wnTs[1]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_QUAD_LINE_NO, "debugShowQuadLineIntersection" +
" no intersect QUAD_VAL LINE_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_QUAD, "debugShowQuadIntersection" +
" wtTs[0]=T_VAL QUAD_VAL PT_VAL wnTs[0]=T_VAL QUAD_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_QUAD_2, "debugShowQuadIntersection" +
" wtTs[0]=T_VAL QUAD_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wnTs[0]=T_VAL QUAD_VAL wnTs[1]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_QUAD_NO, "debugShowQuadIntersection" +
" no intersect QUAD_VAL QUAD_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CONIC_LINE, "debugShowConicLineIntersection" +
" wtTs[0]=T_VAL CONIC_VAL PT_VAL wnTs[0]=T_VAL LINE_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CONIC_LINE_2, "debugShowConicLineIntersection" +
" wtTs[0]=T_VAL CONIC_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wnTs[0]=T_VAL LINE_VAL wnTs[1]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CONIC_LINE_NO, "debugShowConicLineIntersection" +
" no intersect CONIC_VAL LINE_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CONIC, "debugShowConicIntersection" +
" wtTs[0]=T_VAL CONIC_VAL PT_VAL wnTs[0]=T_VAL CONIC_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CONIC_2, "debugShowConicIntersection" +
" wtTs[0]=T_VAL CONIC_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wnTs[0]=T_VAL CONIC_VAL wnTs[1]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CONIC_NO, "debugShowConicIntersection" +
" no intersect CONIC_VAL CONIC_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_LINE, "debugShowCubicLineIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wnTs[0]=T_VAL LINE_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_LINE_2, "debugShowCubicLineIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wnTs[0]=T_VAL LINE_VAL wnTs[1]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_LINE_3, "debugShowCubicLineIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wtTs[2]=T_VAL PT_VAL wnTs[0]=T_VAL LINE_VAL wnTs[1]=T_VAL wnTs[2]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_LINE_NO, "debugShowCubicLineIntersection" +
" no intersect CUBIC_VAL LINE_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_QUAD, "debugShowCubicQuadIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wnTs[0]=T_VAL QUAD_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_QUAD_2, "debugShowCubicQuadIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wnTs[0]=T_VAL QUAD_VAL wnTs[1]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_QUAD_3, "debugShowCubicQuadIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wtTs[2]=T_VAL PT_VAL wnTs[0]=T_VAL QUAD_VAL wnTs[1]=T_VAL wnTs[2]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_QUAD_4, "debugShowCubicQuadIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wtTs[2]=T_VAL wtTs[3]=T_VAL PT_VAL wnTs[0]=T_VAL QUAD_VAL wnTs[1]=T_VAL wnTs[2]=T_VAL wnTs[3]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_QUAD_NO, "debugShowCubicQuadIntersection" +
" no intersect CUBIC_VAL QUAD_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC, "debugShowCubicIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wnTs[0]=T_VAL CUBIC_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_2, "debugShowCubicIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wnTs[0]=T_VAL CUBIC_VAL wnTs[1]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_3, "debugShowCubicIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wtTs[2]=T_VAL PT_VAL wnTs[0]=T_VAL CUBIC_VAL wnTs[1]=T_VAL wnTs[2]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_4, "debugShowCubicIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wtTs[1]=T_VAL PT_VAL wtTs[2]=T_VAL PT_VAL wtTs[3]=T_VAL PT_VAL wnTs[0]=T_VAL CUBIC_VAL wnTs[1]=T_VAL wnTs[2]=T_VAL wnTs[3]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_CUBIC_NO, "debugShowCubicIntersection" +
" no intersect CUBIC_VAL CUBIC_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_SELF_CUBIC, "debugShowCubicIntersection" +
" wtTs[0]=T_VAL CUBIC_VAL PT_VAL wtTs[1]=T_VAL"
) || match_regexp(line, lineNo, record, INTERSECT_SELF_CUBIC_NO, "debugShowCubicIntersection" +
" no self intersect CUBIC_VAL"
);
break;
case REC_TYPE_SORT:
var hasDone = / done/.test(line);
var hasUnorderable = / unorderable/.test(line);
var hasSmall = / small/.test(line);
var hasTiny = / tiny/.test(line);
var hasOperand = / operand/.test(line);
var hasStop = / stop/.test(line);
line.replace(/[ a-z]+$/, "");
found = match_regexp(line, lineNo, record, SORT_UNARY, "debugOne" +
" [IDX/IDX] next=IDX/IDX sect=IDX/IDX s=T_VAL [IDX] e=T_VAL [IDX] sgn=NUM windVal=IDX windSum=OPT"
) || match_regexp(line, lineNo, record, SORT_BINARY, "debugOne" +
" [IDX/IDX] next=IDX/IDX sect=IDX/IDX s=T_VAL [IDX] e=T_VAL [IDX] sgn=NUM windVal=IDX windSum=OPT oppVal=IDX oppSum=OPT"
) || match_regexp(line, lineNo, record, SORT_UNARY, "dumpOne" +
" [IDX/IDX] next=IDX/IDX sect=NUM/NUM s=T_VAL [IDX] e=T_VAL [IDX] sgn=NUM windVal=IDX windSum=OPT"
) || match_regexp(line, lineNo, record, SORT_BINARY, "dumpOne" +
" [IDX/IDX] next=IDX/IDX sect=NUM/NUM s=T_VAL [IDX] e=T_VAL [IDX] sgn=NUM windVal=IDX windSum=OPT oppVal=IDX oppSum=OPT"
);
if (found) {
record[1].push(hasDone);
record[1].push(hasUnorderable);
record[1].push(hasSmall);
record[1].push(hasTiny);
record[1].push(hasOperand);
record[1].push(hasStop);
}
break;
case REC_TYPE_TOP:
found = match_regexp(line, lineNo, record, ACTIVE_OP, "findTop" +
" id=IDX s=T_VAL e=T_VAL cw=NUM swap=NUM inflections=NUM monotonic=NUM"
) || match_regexp(line, lineNo, record, ACTIVE_OP, "findTop" +
" id=IDX s=T_VAL e=T_VAL (-) cw=NUM swap=NUM inflections=NUM monotonic=NUM"
) || match_regexp(line, lineNo, record, ACTIVE_OP, "findTop" +
" id=IDX s=T_VAL e=T_VAL (+) cw=NUM swap=NUM inflections=NUM monotonic=NUM"
);
break;
case REC_TYPE_MARK:
found = match_regexp(line, lineNo, record, MARK_LINE, "markWinding" +
" id=IDX LINE_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=NUM newOppSum=OPT oppSum=OPT windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, MARK_QUAD, "markWinding" +
" id=IDX QUAD_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=NUM newOppSum=OPT oppSum=OPT windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, MARK_CONIC, "markWinding" +
" id=IDX CONIC_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=NUM newOppSum=OPT oppSum=OPT windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, MARK_CUBIC, "markWinding" +
" id=IDX CUBIC_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=NUM newOppSum=OPT oppSum=OPT windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, MARK_DONE_LINE, "markDone" +
" id=IDX LINE_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=OPT newOppSum=OPT oppSum=OPT windSum=OPT windValue=IDX oppValue=OPT"
) || match_regexp(line, lineNo, record, MARK_DONE_QUAD, "markDone" +
" id=IDX QUAD_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=OPT newOppSum=OPT oppSum=OPT windSum=OPT windValue=IDX oppValue=OPT"
) || match_regexp(line, lineNo, record, MARK_DONE_CONIC, "markDone" +
" id=IDX CONIC_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=OPT newOppSum=OPT oppSum=OPT windSum=OPT windValue=IDX oppValue=OPT"
) || match_regexp(line, lineNo, record, MARK_DONE_CUBIC, "markDone" +
" id=IDX CUBIC_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=OPT newOppSum=OPT oppSum=OPT windSum=OPT windValue=IDX oppValue=OPT"
) || match_regexp(line, lineNo, record, MARK_SIMPLE_LINE, "markWinding" +
" id=IDX LINE_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=NUM windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, MARK_SIMPLE_QUAD, "markWinding" +
" id=IDX QUAD_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=NUM windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, MARK_SIMPLE_CONIC, "markWinding" +
" id=IDX CONIC_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=NUM windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, MARK_SIMPLE_CUBIC, "markWinding" +
" id=IDX CUBIC_VAL t=T_VAL [IDX] PT_VAL tEnd=T_VAL newWindSum=NUM windSum=OPT windValue=IDX"
) || match_regexp(line, lineNo, record, MARK_ANGLE_LAST, "markAngle" +
" last segment=IDX span=IDX"
) || match_regexp(line, lineNo, record, MARK_ANGLE_LAST, "markAngle" +
" last segment=IDX span=IDX windSum=OPT");
break;
case REC_TYPE_OP:
if (line.lastIndexOf("oppSign oppSign=", 0) === 0
|| line.lastIndexOf("operator<", 0) === 0) {
found = true;
break;
}
found = match_regexp(line, lineNo, record, OP_DIFFERENCE, "op diff"
) || match_regexp(line, lineNo, record, OP_INTERSECT, "op intersect"
) || match_regexp(line, lineNo, record, OP_INTERSECT, "op sect"
) || match_regexp(line, lineNo, record, OP_UNION, "op union"
) || match_regexp(line, lineNo, record, OP_XOR, "op xor"
);
break;
case REC_TYPE_UNKNOWN:
found = true;
break;
}
if (!found) {
console.log(line + " [" + lineNo + "] of type " + type + " not found");
}
}
if (recType != REC_TYPE_UNKNOWN) {
records.push(recType);
records.push(lastLineNo);
records.push(record);
}
if (records.length >= 1) {
tests[testIndex] = records;
testLines[testIndex] = lines;
}
}
function init(test) {
var canvas = document.getElementById('canvas');
if (!canvas.getContext) return;
ctx = canvas.getContext('2d');
var resScale = retina_scale && window.devicePixelRatio ? window.devicePixelRatio : 1;
var unscaledWidth = window.innerWidth - 20;
var unscaledHeight = window.innerHeight - 20;
screenWidth = unscaledWidth;
screenHeight = unscaledHeight;
canvas.width = unscaledWidth * resScale;
canvas.height = unscaledHeight * resScale;
canvas.style.width = unscaledWidth + 'px';
canvas.style.height = unscaledHeight + 'px';
if (resScale != 1) {
ctx.scale(resScale, resScale);
}
xmin = Infinity;
xmax = -Infinity;
ymin = Infinity;
ymax = -Infinity;
hasPath = hasAlignedPath = hasComputedPath = false;
firstActiveSpan = -1;
for (var tIndex = 0; tIndex < test.length; tIndex += 3) {
var recType = test[tIndex];
if (!typeof recType == 'number' || recType < REC_TYPE_UNKNOWN || recType > REC_TYPE_LAST) {
console.log("unknown rec type: " + recType);
throw "stop execution";
}
var records = test[tIndex + 2];
for (var recordIndex = 0; recordIndex < records.length; recordIndex += 2) {
var fragType = records[recordIndex];
if (!typeof fragType == 'number' || fragType < 1 || fragType > FRAG_TYPE_LAST) {
console.log("unknown in range frag type: " + fragType);
throw "stop execution";
}
var frags = records[recordIndex + 1];
var first = 0;
var last = -1;
var first2 = 0;
var last2 = 0;
switch (recType) {
case REC_TYPE_ALIGNED:
hasAlignedPath = true;
case REC_TYPE_COMPUTED:
if (fragType == COMPUTED_SET_1 || fragType == COMPUTED_SET_2) {
break;
}
if (REC_TYPE_COMPUTED == recType) {
hasComputedPath = true;
}
case REC_TYPE_PATH:
first = 1;
switch (fragType) {
case PATH_LINE:
last = 5;
break;
case PATH_CONIC:
case PATH_QUAD:
last = 7;
break;
case PATH_CUBIC:
last = 9;
break;
default:
console.log("unknown " + (recType == REC_TYPE_PATH ? "REC_TYPE_PATH"
: "REC_TYPE_COMPUTED") + " frag type:" + fragType);
throw "stop execution";
}
if (recType == REC_TYPE_PATH) {
hasPath = true;
}
break;
case REC_TYPE_PATH2:
first = 1;
switch (fragType) {
case PATH_LINE:
last = 5;
break;
case PATH_CONIC:
case PATH_QUAD:
last = 7;
break;
case PATH_CUBIC:
last = 9;
break;
default:
console.log("unknown " + (recType == REC_TYPE_PATH2 ? "REC_TYPE_PATH2"
: "REC_TYPE_COMPUTED") + " frag type:" + fragType);
throw "stop execution";
}
if (recType == REC_TYPE_PATH2) {
hasPath = true;
}
break;
case REC_TYPE_ACTIVE:
if (firstActiveSpan < 0) {
firstActiveSpan = tIndex;
}
first = 1;
switch (fragType) {
case ACTIVE_LINE_SPAN:
last = 5;
break;
case ACTIVE_CONIC_SPAN:
case ACTIVE_QUAD_SPAN:
last = 7;
break;
case ACTIVE_CUBIC_SPAN:
last = 9;
break;
default:
console.log("unknown REC_TYPE_ACTIVE frag type: " + fragType);
throw "stop execution";
}
break;
case REC_TYPE_ADD:
switch (fragType) {
case ADD_MOVETO:
break;
case ADD_LINETO:
last = 4;
break;
case ADD_CONICTO:
case ADD_QUADTO:
last = 6;
break;
case ADD_CUBICTO:
last = 8;
break;
case ADD_CLOSE:
case ADD_FILL:
break;
default:
console.log("unknown REC_TYPE_ADD frag type: " + fragType);
throw "stop execution";
}
break;
case REC_TYPE_AFTERPART:
switch (fragType) {
case PATH_LINE:
last = 4;
break;
case PATH_CONIC:
case PATH_QUAD:
last = 6;
break;
case PATH_CUBIC:
last = 8;
break;
default:
console.log("unknown REC_TYPE_ACTIVEPART frag type: " + fragType);
throw "stop execution";
}
break;
case REC_TYPE_SECT:
switch (fragType) {
case INTERSECT_LINE:
first = 1; last = 5; first2 = 8; last2 = 12;
break;
case INTERSECT_LINE_2:
first = 1; last = 5; first2 = 11; last2 = 15;
break;
case INTERSECT_LINE_NO:
first = 0; last = 4; first2 = 4; last2 = 8;
break;
case INTERSECT_CONIC_LINE:
first = 1; last = 7; first2 = 11; last2 = 15;
break;
case INTERSECT_QUAD_LINE:
first = 1; last = 7; first2 = 10; last2 = 14;
break;
case INTERSECT_CONIC_LINE_2:
first = 1; last = 7; first2 = 14; last2 = 18;
break;
case INTERSECT_QUAD_LINE_2:
first = 1; last = 7; first2 = 13; last2 = 17;
break;
case INTERSECT_CONIC_LINE_NO:
first = 0; last = 6; first2 = 7; last2 = 11;
break;
case INTERSECT_QUAD_LINE_NO:
first = 0; last = 6; first2 = 6; last2 = 10;
break;
case INTERSECT_CONIC:
first = 1; last = 7; first2 = 11; last2 = 17;
break;
case INTERSECT_QUAD:
first = 1; last = 7; first2 = 10; last2 = 16;
break;
case INTERSECT_CONIC_2:
first = 1; last = 7; first2 = 14; last2 = 20;
break;
case INTERSECT_QUAD_2:
first = 1; last = 7; first2 = 13; last2 = 19;
break;
case INTERSECT_CONIC_NO:
first = 0; last = 6; first2 = 7; last2 = 13;
break;
case INTERSECT_QUAD_NO:
first = 0; last = 6; first2 = 6; last2 = 12;
break;
case INTERSECT_SELF_CUBIC:
first = 1; last = 9;
break;
case INTERSECT_SELF_CUBIC_NO:
first = 0; last = 8;
break;
case INTERSECT_CUBIC_LINE:
first = 1; last = 9; first2 = 12; last2 = 16;
break;
case INTERSECT_CUBIC_LINE_2:
first = 1; last = 9; first2 = 15; last2 = 19;
break;
case INTERSECT_CUBIC_LINE_3:
first = 1; last = 9; first2 = 18; last2 = 22;
break;
case INTERSECT_CUBIC_LINE_NO:
first = 0; last = 8; first2 = 8; last2 = 12;
break;
case INTERSECT_CUBIC_QUAD:
first = 1; last = 9; first2 = 12; last2 = 18;
break;
case INTERSECT_CUBIC_QUAD_2:
first = 1; last = 9; first2 = 15; last2 = 21;
break;
case INTERSECT_CUBIC_QUAD_3:
first = 1; last = 9; first2 = 18; last2 = 24;
break;
case INTERSECT_CUBIC_QUAD_4:
first = 1; last = 9; first2 = 21; last2 = 27;
break;
case INTERSECT_CUBIC_QUAD_NO:
first = 0; last = 8; first2 = 8; last2 = 14;
break;
case INTERSECT_CUBIC:
first = 1; last = 9; first2 = 12; last2 = 20;
break;
case INTERSECT_CUBIC_2:
first = 1; last = 9; first2 = 15; last2 = 23;
break;
case INTERSECT_CUBIC_3:
first = 1; last = 9; first2 = 18; last2 = 26;
break;
case INTERSECT_CUBIC_4:
first = 1; last = 9; first2 = 21; last2 = 29;
break;
case INTERSECT_CUBIC_NO:
first = 0; last = 8; first2 = 8; last2 = 16;
break;
default:
console.log("unknown REC_TYPE_SECT frag type: " + fragType);
throw "stop execution";
}
break;
default:
continue;
}
for (var idx = first; idx < last; idx += 2) {
xmin = Math.min(xmin, frags[idx]);
xmax = Math.max(xmax, frags[idx]);
ymin = Math.min(ymin, frags[idx + 1]);
ymax = Math.max(ymax, frags[idx + 1]);
}
for (var idx = first2; idx < last2; idx += 2) {
xmin = Math.min(xmin, frags[idx]);
xmax = Math.max(xmax, frags[idx]);
ymin = Math.min(ymin, frags[idx + 1]);
ymax = Math.max(ymax, frags[idx + 1]);
}
}
}
var angleBounds = [Infinity, Infinity, -Infinity, -Infinity];
for (var tIndex = 0; tIndex < test.length; tIndex += 3) {
var recType = test[tIndex];
var records = test[tIndex + 2];
for (var recordIndex = 0; recordIndex < records.length; recordIndex += 2) {
var fragType = records[recordIndex];
var frags = records[recordIndex + 1];
switch (recType) {
case REC_TYPE_ACTIVE_OP:
if (!draw_op) {
break;
}
{
var curve = curvePartialByID(test, frags[0], frags[1], frags[2]);
curve_extremes(curve, angleBounds);
}
break;
case REC_TYPE_ANGLE:
if (!draw_angle) {
break;
}
{
var curve = curvePartialByID(test, frags[0], frags[4], frags[5]);
curve_extremes(curve, angleBounds);
curve = curvePartialByID(test, frags[6], frags[10], frags[11]);
curve_extremes(curve, angleBounds);
curve = curvePartialByID(test, frags[12], frags[16], frags[17]);
}
break;
case REC_TYPE_COINCIDENCE:
if (!draw_coincidence) {
break;
}
{
var curve = curvePartialByID(test, frags[0], frags[1], frags[2]);
curve_extremes(curve, angleBounds);
}
break;
case REC_TYPE_SORT:
if (!draw_sort) {
break;
}
if (fragType == SORT_UNARY || fragType == SORT_BINARY) {
var curve = curvePartialByID(test, frags[0], frags[6], frags[8]);
curve_extremes(curve, angleBounds);
}
break;
case REC_TYPE_TOP:
if (!draw_top) {
break;
}
{
var curve = curvePartialByID(test, frags[0], frags[1], frags[2]);
curve_extremes(curve, angleBounds);
}
break;
}
}
}
xmin = Math.min(xmin, angleBounds[0]);
ymin = Math.min(ymin, angleBounds[1]);
xmax = Math.max(xmax, angleBounds[2]);
ymax = Math.max(ymax, angleBounds[3]);
setScale(xmin, xmax, ymin, ymax);
if (hasPath == false && hasComputedPath == true && !draw_computed) {
draw_computed = 7; // show quadratics, conics, and cubics
}
if (hasPath == true && hasComputedPath == false && draw_computed) {
draw_computed = 0;
}
}
function curveByIDMatch(test, id, recMatch) {
var tIndex = -3;
while ((tIndex += 3) < test.length) {
var recType = test[tIndex];
if (recType == REC_TYPE_OP) {
continue;
}
if (recType != recMatch) {
return [];
}
var records = test[tIndex + 2];
for (var recordIndex = 0; recordIndex < records.length; recordIndex += 2) {
var fragType = records[recordIndex];
var frags = records[recordIndex + 1];
if (frags[0] == id) {
switch (fragType) {
case PATH_LINE:
return [frags[1], frags[2], frags[3], frags[4]];
case PATH_QUAD:
return [frags[1], frags[2], frags[3], frags[4],
frags[5], frags[6]];
case PATH_CONIC:
return [frags[1], frags[2], frags[3], frags[4],
frags[5], frags[6], frags[7]];
case PATH_CUBIC:
return [frags[1], frags[2], frags[3], frags[4],
frags[5], frags[6], frags[7], frags[8]];
}
}
}
}
return [];
}
function curveByID(test, id) {
var result = draw_path >= 4 ? curveByIDMatch(test, id, REC_TYPE_ALIGNED) : [];
if (!result.length) {
result = curveByIDMatch(test, id, REC_TYPE_PATH);
}
return result;
}
function curvePartialByIDMatch(test, id, t0, t1, recMatch) {
var tIndex = -3;
while ((tIndex += 3) < test.length) {
var recType = test[tIndex];
if (recType == REC_TYPE_OP) {
continue;
}
if (recType != recMatch) {
return [];
}
var records = test[tIndex + 2];
for (var recordIndex = 0; recordIndex < records.length; recordIndex += 2) {
var fragType = records[recordIndex];
var frags = records[recordIndex + 1];
if (frags[0] == id) {
switch (fragType) {
case PATH_LINE:
return linePartial(frags[1], frags[2], frags[3], frags[4], t0, t1);
case PATH_QUAD:
return quadPartial(frags[1], frags[2], frags[3], frags[4],
frags[5], frags[6], t0, t1);
case PATH_CONIC:
return conicPartial(frags[1], frags[2], frags[3], frags[4],
frags[5], frags[6], frags[7], t0, t1);
case PATH_CUBIC:
return cubicPartial(frags[1], frags[2], frags[3], frags[4],
frags[5], frags[6], frags[7], frags[8], t0, t1);
}
}
}
}
return [];
}
function curvePartialByID(test, id, t0, t1) {
var result = draw_path >= 4 ? curvePartialByIDMatch(test, id, t0, t1, REC_TYPE_ALIGNED) : [];
if (!result.length) {
result = curvePartialByIDMatch(test, id, t0, t1, REC_TYPE_PATH);
}
return result;
}
function idByCurveIDMatch(test, frag, type, recMatch) {
var tIndex = 0;
while (tIndex < test.length) {
var recType = test[tIndex];
if (recType != recMatch) {
++tIndex;
continue;
}
var records = test[tIndex + 2];
for (var recordIndex = 0; recordIndex < records.length; recordIndex += 2) {
var fragType = records[recordIndex];
var frags = records[recordIndex + 1];
if (frag.length != frags.length - 1) {
continue;
}
switch (fragType) {
case PATH_LINE:
if (frag[0] != frags[1] || frag[1] != frags[2]
|| frag[2] != frags[3] || frag[3] != frags[4]) {
continue;
}
return frags[0];
case PATH_QUAD:
if (frag[0] != frags[1] || frag[1] != frags[2]
|| frag[2] != frags[3] || frag[3] != frags[4]
|| frag[4] != frags[5] || frag[5] != frags[6]) {
continue;
}
return frags[0];
case PATH_CONIC:
if (frag[0] != frags[1] || frag[1] != frags[2]
|| frag[2] != frags[3] || frag[3] != frags[4]
|| frag[4] != frags[5] || frag[5] != frags[6]
|| frag[6] != frags[7]) {
continue;
}
return frags[0];
case PATH_CUBIC:
if (frag[0] != frags[1] || frag[1] != frags[2]
|| frag[2] != frags[3] || frag[3] != frags[4]
|| frag[4] != frags[5] || frag[5] != frags[6]
|| frag[6] != frags[7] || frag[7] != frags[8]) {
continue;
}
return frags[0];
}
}
++tIndex;
}
return -1;
}
function idByCurve(test, frag, type) {
var result = draw_path >= 4 ? idByCurveIDMatch(test, frag, type, REC_TYPE_ALIGNED) : [];
if (!result.length) {
result = idByCurveIDMatch(test, frag, type, REC_TYPE_PATH);
}
return result;
}
function curve_extremes(curve, bounds) {
var length = curve.length == 7 ? 6 : curve.length;
for (var index = 0; index < length; index += 2) {
var x = curve[index];
var y = curve[index + 1];
bounds[0] = Math.min(bounds[0], x);
bounds[1] = Math.min(bounds[1], y);
bounds[2] = Math.max(bounds[2], x);
bounds[3] = Math.max(bounds[3], y);
}
}
function setScale(x0, x1, y0, y1) {
var srcWidth = x1 - x0;
var srcHeight = y1 - y0;
var usableWidth = screenWidth;
var xDigits = Math.ceil(Math.log(Math.abs(xmax)) / Math.log(10));
var yDigits = Math.ceil(Math.log(Math.abs(ymax)) / Math.log(10));
usableWidth -= (xDigits + yDigits) * 10;
usableWidth -= decimal_places * 10;
if (draw_legend) {
usableWidth -= 40;
}
var hscale = usableWidth / srcWidth;
var vscale = screenHeight / srcHeight;
scale = Math.min(hscale, vscale);
var invScale = 1 / scale;
var sxmin = x0 - invScale * 5;
var symin = y0 - invScale * 10;
var sxmax = x1 + invScale * (6 * decimal_places + 10);
var symax = y1 + invScale * 10;
srcWidth = sxmax - sxmin;
srcHeight = symax - symin;
hscale = usableWidth / srcWidth;
vscale = screenHeight / srcHeight;
scale = Math.min(hscale, vscale);
srcLeft = sxmin;
srcTop = symin;
}
function drawArc(curve, op, from, to) {
var type = PATH_LINE + (curve.length / 2 - 2);
var pt = pointAtT(curve, type, op ? 0.4 : 0.6);
var dy = pt.y - curve[1];
var dx = pt.x - curve[0];
var dist = Math.sqrt(dy * dy + dx * dx);
var _dist = dist * scale;
var angle = Math.atan2(dy, dx);
var _px = (curve[0] - srcLeft) * scale;
var _py = (curve[1] - srcTop) * scale;
var divisor = 4;
var endDist;
do {
var ends = [];
for (var index = -1; index <= 1; index += 2) {
var px = Math.cos(index * Math.PI / divisor);
var py = Math.sin(index * Math.PI / divisor);
ends.push(px);
ends.push(py);
}
var endDx = (ends[2] - ends[0]) * scale * dist;
var endDy = (ends[3] - ends[1]) * scale * dist;
endDist = Math.sqrt(endDx * endDx + endDy * endDy);
if (endDist < 100) {
break;
}
divisor *= 2;
} while (true);
if (endDist < 30) {
return;
}
if (op) {
divisor *= 2;
}
ctx.strokeStyle = op ? "rgba(210,0,45, 0.4)" : "rgba(90,90,90, 0.5)";
ctx.beginPath();
ctx.arc(_px, _py, _dist, angle - Math.PI / divisor, angle + Math.PI / divisor, false);
ctx.stroke();
var saveAlign = ctx.textAlign;
var saveStyle = ctx.fillStyle;
var saveFont = ctx.font;
ctx.textAlign = "center";
ctx.fillStyle = "black";
ctx.font = "normal 24px Arial";
divisor *= 0.8;
for (var index = -1; index <= 1; index += 2) {
var px = curve[0] + Math.cos(angle + index * Math.PI / divisor) * dist;
var py = curve[1] + Math.sin(angle + index * Math.PI / divisor) * dist;
var _px = (px - srcLeft) * scale;
var _py = (py - srcTop) * scale;
ctx.fillText(index < 0 ? to.toString() : from.toString(), _px, _py + 8);
}
ctx.textAlign = saveAlign;
ctx.fillStyle = saveStyle;
ctx.font = saveFont;
}
function drawPoint(px, py, end) {
var length = drawnPts.length == 7 ? 6 : drawnPts.length;
for (var pts = 0; pts < length; pts += 2) {
var x = drawnPts[pts];
var y = drawnPts[pts + 1];
if (px == x && py == y) {
return;
}
}
drawnPts.push(px);
drawnPts.push(py);
var label = px.toFixed(decimal_places) + ", " + py.toFixed(decimal_places);
var _px = (px - srcLeft) * scale;
var _py = (py - srcTop) * scale;
ctx.beginPath();
ctx.arc(_px, _py, 3, 0, Math.PI*2, true);
ctx.closePath();
if (end) {
ctx.fill();
} else {
ctx.stroke();
}
if (debug_xy) {
ctx.textAlign = "left";
ctx.fillText(label, _px + 5, _py);
}
}
function coordCount(curveType) {
switch (curveType) {
case PATH_LINE:
return 4;
case PATH_QUAD:
return 6;
case PATH_CONIC:
return 6;
case PATH_CUBIC:
return 8;
}
return -1;
}
function drawPoints(ptArray, curveType, drawControls) {
var count = coordCount(curveType);
for (var idx = 0; idx < count; idx += 2) {
if (!drawControls && idx != 0 && idx != count - 2) {
continue;
}
drawPoint(ptArray[idx], ptArray[idx + 1], idx == 0 || idx == count - 2);
}
}
function drawControlLines(curve, curveType, drawEnd) {
if (curveType == PATH_LINE) {
return;
}
ctx.strokeStyle = "rgba(0,0,0, 0.3)";
drawLine(curve[0], curve[1], curve[2], curve[3]);
drawLine(curve[2], curve[3], curve[4], curve[5]);
if (curveType == PATH_CUBIC) {
drawLine(curve[4], curve[5], curve[6], curve[7]);
if (drawEnd > 1) {
drawLine(curve[6], curve[7], curve[0], curve[1]);
if (drawEnd > 2) {
drawLine(curve[0], curve[1], curve[4], curve[5]);
drawLine(curve[6], curve[7], curve[2], curve[3]);
}
}
} else if (drawEnd > 1) {
drawLine(curve[4], curve[5], curve[0], curve[1]);
}
}
function pointAtT(curve, curveType, t) {
var xy = {};
switch (curveType) {
case PATH_LINE:
var a = 1 - t;
var b = t;
xy.x = a * curve[0] + b * curve[2];
xy.y = a * curve[1] + b * curve[3];
break;
case PATH_QUAD:
var one_t = 1 - t;
var a = one_t * one_t;
var b = 2 * one_t * t;
var c = t * t;
xy.x = a * curve[0] + b * curve[2] + c * curve[4];
xy.y = a * curve[1] + b * curve[3] + c * curve[5];
break;
case PATH_CONIC:
var one_t = 1 - t;
var a = one_t * one_t;
var b = 2 * one_t * t;
var c = t * t;
xy.x = a * curve[0] + b * curve[2] * curve[6] + c * curve[4];
xy.y = a * curve[1] + b * curve[3] * curve[6] + c * curve[5];
var d = a + b * curve[6] + c;
xy.x /= d;
xy.y /= d;
break;
case PATH_CUBIC:
var one_t = 1 - t;
var one_t2 = one_t * one_t;
var a = one_t2 * one_t;
var b = 3 * one_t2 * t;
var t2 = t * t;
var c = 3 * one_t * t2;
var d = t2 * t;
xy.x = a * curve[0] + b * curve[2] + c * curve[4] + d * curve[6];
xy.y = a * curve[1] + b * curve[3] + c * curve[5] + d * curve[7];
break;
}
return xy;
}
function drawPointAtT(curve, curveType) {
var x, y;
var xy = pointAtT(curve, curveType, curveT);
drawPoint(xy.x, xy.y, true);
if (!draw_intersectT) {
return;
}
ctx.fillStyle = "red";
drawTAtPointUp(xy.x, xy.y, curveT);
}
function drawTAtPointUp(px, py, t) {
var label = t.toFixed(decimal_places);
var _px = (px - srcLeft)* scale;
var _py = (py - srcTop) * scale;
ctx.fillText(label, _px + 5, _py - 10);
}
function drawTAtPointDown(px, py, t) {
var label = t.toFixed(decimal_places);
var _px = (px - srcLeft)* scale;
var _py = (py - srcTop) * scale;
ctx.fillText(label, _px + 5, _py + 10);
}
function alreadyDrawnLine(x1, y1, x2, y2) {
if (collect_bounds) {
if (focus_enabled) {
focusXmin = Math.min(focusXmin, x1, x2);
focusYmin = Math.min(focusYmin, y1, y2);
focusXmax = Math.max(focusXmax, x1, x2);
focusYmax = Math.max(focusYmax, y1, y2);
}
return true;
}
for (var pts = 0; pts < drawnLines.length; pts += 4) {
if (x1 == drawnLines[pts] && y1 == drawnLines[pts + 1]
&& x2 == drawnLines[pts + 2] && y2 == drawnLines[pts + 3]) {
return true;
}
}
drawnLines.push(x1);
drawnLines.push(y1);
drawnLines.push(x2);
drawnLines.push(y2);
return false;
}
function drawLine(x1, y1, x2, y2) {
if (alreadyDrawnLine(x1, y1, x2, y2)) {
return;
}
ctx.beginPath();
ctx.moveTo((x1 - srcLeft) * scale,
(y1 - srcTop) * scale);
ctx.lineTo((x2 - srcLeft) * scale,
(y2 - srcTop) * scale);
ctx.stroke();
}
function linePartial(x1, y1, x2, y2, t1, t2) {
var dx = x1 - x2;
var dy = y1 - y2;
var array = [
x1 - t1 * dx,
y1 - t1 * dy,
x1 - t2 * dx,
y1 - t2 * dy
];
return array;
}
function drawLinePartial(x1, y1, x2, y2, t1, t2) {
var a = linePartial(x1, y1, x2, y2, t1, t2);
var ax = a[0];
var ay = a[1];
var bx = a[2];
var by = a[3];
if (alreadyDrawnLine(ax, ay, bx, by)) {
return;
}
ctx.beginPath();
ctx.moveTo((ax - srcLeft) * scale,
(ay - srcTop) * scale);
ctx.lineTo((bx - srcLeft) * scale,
(by - srcTop) * scale);
ctx.stroke();
}
function alreadyDrawnQuad(x1, y1, x2, y2, x3, y3) {
if (collect_bounds) {
if (focus_enabled) {
focusXmin = Math.min(focusXmin, x1, x2, x3);
focusYmin = Math.min(focusYmin, y1, y2, y3);
focusXmax = Math.max(focusXmax, x1, x2, x3);
focusYmax = Math.max(focusYmax, y1, y2, y3);
}
return true;
}
for (var pts = 0; pts < drawnQuads.length; pts += 6) {
if (x1 == drawnQuads[pts] && y1 == drawnQuads[pts + 1]
&& x2 == drawnQuads[pts + 2] && y2 == drawnQuads[pts + 3]
&& x3 == drawnQuads[pts + 4] && y3 == drawnQuads[pts + 5]) {
return true;
}
}
drawnQuads.push(x1);
drawnQuads.push(y1);
drawnQuads.push(x2);
drawnQuads.push(y2);
drawnQuads.push(x3);
drawnQuads.push(y3);
return false;
}
function drawQuad(x1, y1, x2, y2, x3, y3) {
if (alreadyDrawnQuad(x1, y1, x2, y2, x3, y3)) {
return;
}
ctx.beginPath();
ctx.moveTo((x1 - srcLeft) * scale,
(y1 - srcTop) * scale);
ctx.quadraticCurveTo((x2 - srcLeft) * scale,
(y2 - srcTop) * scale,
(x3 - srcLeft) * scale,
(y3 - srcTop) * scale);
ctx.stroke();
}
function interp(A, B, t) {
return A + (B - A) * t;
}
function interp_quad_coords(x1, x2, x3, t)
{
var ab = interp(x1, x2, t);
var bc = interp(x2, x3, t);
var abc = interp(ab, bc, t);
return abc;
}
function quadPartial(x1, y1, x2, y2, x3, y3, t1, t2) {
var ax = interp_quad_coords(x1, x2, x3, t1);
var ay = interp_quad_coords(y1, y2, y3, t1);
var dx = interp_quad_coords(x1, x2, x3, (t1 + t2) / 2);
var dy = interp_quad_coords(y1, y2, y3, (t1 + t2) / 2);
var cx = interp_quad_coords(x1, x2, x3, t2);
var cy = interp_quad_coords(y1, y2, y3, t2);
var bx = 2*dx - (ax + cx)/2;
var by = 2*dy - (ay + cy)/2;
var array = [
ax, ay, bx, by, cx, cy
];
return array;
}
function drawQuadPartial(x1, y1, x2, y2, x3, y3, t1, t2) {
var a = quadPartial(x1, y1, x2, y2, x3, y3, t1, t2);
var ax = a[0];
var ay = a[1];
var bx = a[2];
var by = a[3];
var cx = a[4];
var cy = a[5];
if (alreadyDrawnQuad(ax, ay, bx, by, cx, cy)) {
return;
}
ctx.beginPath();
ctx.moveTo((ax - srcLeft) * scale,
(ay - srcTop) * scale);
ctx.quadraticCurveTo((bx - srcLeft) * scale,
(by - srcTop) * scale,
(cx - srcLeft) * scale,
(cy - srcTop) * scale);
ctx.stroke();
}
function alreadyDrawnConic(x1, y1, x2, y2, x3, y3, w) {
if (collect_bounds) {
if (focus_enabled) {
focusXmin = Math.min(focusXmin, x1, x2, x3);
focusYmin = Math.min(focusYmin, y1, y2, y3);
focusXmax = Math.max(focusXmax, x1, x2, x3);
focusYmax = Math.max(focusYmax, y1, y2, y3);
}
return true;
}
for (var pts = 0; pts < drawnConics.length; pts += 8) {
if (x1 == drawnConics[pts] && y1 == drawnCubics[pts + 1]
&& x2 == drawnCubics[pts + 2] && y2 == drawnCubics[pts + 3]
&& x3 == drawnCubics[pts + 4] && y3 == drawnCubics[pts + 5]
&& w == drawnCubics[pts + 6]) {
return true;
}
}
drawnConics.push(x1);
drawnConics.push(y1);
drawnConics.push(x2);
drawnConics.push(y2);
drawnConics.push(x3);
drawnConics.push(y3);
drawnCubics.push(w);
return false;
}
var kMaxConicToQuadPOW2 = 5;
function computeQuadPOW2(curve, tol) {
var a = curve[6] - 1;
var k = a / (4 * (2 + a));
var x = k * (curve[0] - 2 * curve[2] + curve[4]);
var y = k * (curve[1] - 2 * curve[3] + curve[5]);
var error = Math.sqrt(x * x + y * y);
var pow2;
for (pow2 = 0; pow2 < kMaxConicToQuadPOW2; ++pow2) {
if (error <= tol) {
break;
}
error *= 0.25;
}
return pow2;
}
function subdivide_w_value(w) {
return Math.sqrt(0.5 + w * 0.5);
}
function chop(curve, part1, part2) {
var w = curve[6];
var scale = 1 / (1 + w);
part1[0] = curve[0];
part1[1] = curve[1];
part1[2] = (curve[0] + curve[2] * w) * scale;
part1[3] = (curve[1] + curve[3] * w) * scale;
part1[4] = part2[0] = (curve[0] + (curve[2] * w) * 2 + curve[4]) * scale * 0.5;
part1[5] = part2[1] = (curve[1] + (curve[3] * w) * 2 + curve[5]) * scale * 0.5;
part2[2] = (curve[2] * w + curve[4]) * scale;
part2[3] = (curve[3] * w + curve[5]) * scale;
part2[4] = curve[4];
part2[5] = curve[5];
part1[6] = part2[6] = subdivide_w_value(w);
}
function subdivide(curve, level, pts) {
if (0 == level) {
pts.push(curve[2]);
pts.push(curve[3]);
pts.push(curve[4]);
pts.push(curve[5]);
} else {
var part1 = [], part2 = [];
chop(curve, part1, part2);
--level;
subdivide(part1, level, pts);
subdivide(part2, level, pts);
}
}
function chopIntoQuadsPOW2(curve, pow2, pts) {
subdivide(curve, pow2, pts);
return 1 << pow2;
}
function drawConicWithQuads(x1, y1, x2, y2, x3, y3, w) {
if (alreadyDrawnConic(x1, y1, x2, y2, x3, y3, w)) {
return;
}
ctx.beginPath();
ctx.moveTo((x1 - srcLeft) * scale,
(y1 - srcTop) * scale);
var tol = 1 / scale;
var curve = [x1, y1, x2, y2, x3, y3, w];
var pow2 = computeQuadPOW2(curve, tol);
var pts = [];
chopIntoQuadsPOW2(curve, pow2, pts);
for (var i = 0; i < pts.length; i += 4) {
ctx.quadraticCurveTo(
(pts[i + 0] - srcLeft) * scale, (pts[i + 1] - srcTop) * scale,
(pts[i + 2] - srcLeft) * scale, (pts[i + 3] - srcTop) * scale);
}
ctx.stroke();
}
function conic_eval_numerator(x1, x2, x3, w, t) {
var src2w = x2 * w;
var C = x1;
var A = x3 - 2 * src2w + C;
var B = 2 * (src2w - C);
return (A * t + B) * t + C;
}
function conic_eval_denominator(w, t) {
var B = 2 * (w - 1);
var C = 1;
var A = -B;
return (A * t + B) * t + C;
}
function conicPartial(x1, y1, x2, y2, x3, y3, w, t1, t2) {
var ax = conic_eval_numerator(x1, x2, x3, w, t1);
var ay = conic_eval_numerator(y1, y2, y3, w, t1);
var az = conic_eval_denominator(w, t1);
var midT = (t1 + t2) / 2;
var dx = conic_eval_numerator(x1, x2, x3, w, midT);
var dy = conic_eval_numerator(y1, y2, y3, w, midT);
var dz = conic_eval_denominator(w, midT);
var cx = conic_eval_numerator(x1, x2, x3, w, t2);
var cy = conic_eval_numerator(y1, y2, y3, w, t2);
var cz = conic_eval_denominator(w, t2);
var bx = 2 * dx - (ax + cx) / 2;
var by = 2 * dy - (ay + cy) / 2;
var bz = 2 * dz - (az + cz) / 2;
var dt = t2 - t1;
var dt_1 = 1 - dt;
var array = [
ax / az, ay / az, bx / bz, by / bz, cx / cz, cy / cz, 0
];
var dMidAC = { x:(array[0] + array[4]) / 2, y:(array[1] + array[5]) / 2 };
var dMid = { x:dx / dz, y:dy / dz };
var dWNumer = { x:dMidAC.x - dMid.x, y:dMidAC.y - dMid.y };
var dWDenom = { x:dMid.x - array[2], y:dMid.y - array[3] };
var partW = Math.sqrt(dWNumer.x * dWNumer.x + dWNumer.y * dWNumer.y)
/ Math.sqrt(dWDenom.x * dWDenom.x + dWDenom.y * dWDenom.y);
array[6] = partW;
return array;
}
function drawConicPartial(x1, y1, x2, y2, x3, y3, w, t1, t2) {
var a = conicPartial(x1, y1, x2, y2, x3, y3, w, t1, t2);
var ax = a[0];
var ay = a[1];
var bx = a[2];
var by = a[3];
var cx = a[4];
var cy = a[5];
var w_ = a[6];
drawConicWithQuads(ax, ay, bx, by, cx, cy, w_);
}
function alreadyDrawnCubic(x1, y1, x2, y2, x3, y3, x4, y4) {
if (collect_bounds) {
if (focus_enabled) {
focusXmin = Math.min(focusXmin, x1, x2, x3, x4);
focusYmin = Math.min(focusYmin, y1, y2, y3, y4);
focusXmax = Math.max(focusXmax, x1, x2, x3, x4);
focusYmax = Math.max(focusYmax, y1, y2, y3, y4);
}
return true;
}
for (var pts = 0; pts < drawnCubics.length; pts += 8) {
if (x1 == drawnCubics[pts] && y1 == drawnCubics[pts + 1]
&& x2 == drawnCubics[pts + 2] && y2 == drawnCubics[pts + 3]
&& x3 == drawnCubics[pts + 4] && y3 == drawnCubics[pts + 5]
&& x4 == drawnCubics[pts + 6] && y4 == drawnCubics[pts + 7]) {
return true;
}
}
drawnCubics.push(x1);
drawnCubics.push(y1);
drawnCubics.push(x2);
drawnCubics.push(y2);
drawnCubics.push(x3);
drawnCubics.push(y3);
drawnCubics.push(x4);
drawnCubics.push(y4);
return false;
}
function drawCubic(x1, y1, x2, y2, x3, y3, x4, y4) {
if (alreadyDrawnCubic(x1, y1, x2, y2, x3, y3, x4, y4)) {
return;
}
ctx.beginPath();
ctx.moveTo((x1 - srcLeft) * scale,
(y1 - srcTop) * scale);
ctx.bezierCurveTo((x2 - srcLeft) * scale,
(y2 - srcTop) * scale,
(x3 - srcLeft) * scale,
(y3 - srcTop) * scale,
(x4 - srcLeft) * scale,
(y4 - srcTop) * scale);
ctx.stroke();
}
function interp_cubic_coords(x1, x2, x3, x4, t)
{
var ab = interp(x1, x2, t);
var bc = interp(x2, x3, t);
var cd = interp(x3, x4, t);
var abc = interp(ab, bc, t);
var bcd = interp(bc, cd, t);
var abcd = interp(abc, bcd, t);
return abcd;
}
function cubicPartial(x1, y1, x2, y2, x3, y3, x4, y4, t1, t2) {
var ax = interp_cubic_coords(x1, x2, x3, x4, t1);
var ay = interp_cubic_coords(y1, y2, y3, y4, t1);
var ex = interp_cubic_coords(x1, x2, x3, x4, (t1*2+t2)/3);
var ey = interp_cubic_coords(y1, y2, y3, y4, (t1*2+t2)/3);
var fx = interp_cubic_coords(x1, x2, x3, x4, (t1+t2*2)/3);
var fy = interp_cubic_coords(y1, y2, y3, y4, (t1+t2*2)/3);
var dx = interp_cubic_coords(x1, x2, x3, x4, t2);
var dy = interp_cubic_coords(y1, y2, y3, y4, t2);
var mx = ex * 27 - ax * 8 - dx;
var my = ey * 27 - ay * 8 - dy;
var nx = fx * 27 - ax - dx * 8;
var ny = fy * 27 - ay - dy * 8;
var bx = (mx * 2 - nx) / 18;
var by = (my * 2 - ny) / 18;
var cx = (nx * 2 - mx) / 18;
var cy = (ny * 2 - my) / 18;
var array = [
ax, ay, bx, by, cx, cy, dx, dy
];
return array;
}
function drawCubicPartial(x1, y1, x2, y2, x3, y3, x4, y4, t1, t2) {
var a = cubicPartial(x1, y1, x2, y2, x3, y3, x4, y4, t1, t2);
var ax = a[0];
var ay = a[1];
var bx = a[2];
var by = a[3];
var cx = a[4];
var cy = a[5];
var dx = a[6];
var dy = a[7];
if (alreadyDrawnCubic(ax, ay, bx, by, cx, cy, dx, dy)) {
return;
}
ctx.beginPath();
ctx.moveTo((ax - srcLeft) * scale,
(ay - srcTop) * scale);
ctx.bezierCurveTo((bx - srcLeft) * scale,
(by - srcTop) * scale,
(cx - srcLeft) * scale,
(cy - srcTop) * scale,
(dx - srcLeft) * scale,
(dy - srcTop) * scale);
ctx.stroke();
}
function drawCurve(c) {
switch (c.length) {
case 4:
drawLine(c[0], c[1], c[2], c[3]);
break;
case 6:
drawQuad(c[0], c[1], c[2], c[3], c[4], c[5]);
break;
case 7:
drawConicWithQuads(c[0], c[1], c[2], c[3], c[4], c[5], c[6]);
break;
case 8:
drawCubic(c[0], c[1], c[2], c[3], c[4], c[5], c[6], c[7]);
break;
}
}
function boundsWidth(pts) {
var min = pts[0];
var max = pts[0];
var length = pts.length == 7 ? 6 : pts.length;
for (var idx = 2; idx < length; idx += 2) {
min = Math.min(min, pts[idx]);
max = Math.max(max, pts[idx]);
}
return max - min;
}
function boundsHeight(pts) {
var min = pts[1];
var max = pts[1];
var length = pts.length == 7 ? 6 : pts.length;
for (var idx = 3; idx < length; idx += 2) {
min = Math.min(min, pts[idx]);
max = Math.max(max, pts[idx]);
}
return max - min;
}
function tangent(pts) {
var dx = pts[2] - pts[0];
var dy = pts[3] - pts[1];
if (dx == 0 && dy == 0 && pts.length > 4) {
dx = pts[4] - pts[0];
dy = pts[5] - pts[1];
if (dx == 0 && dy == 0 && pts.length == 8) {
dx = pts[6] - pts[0];
dy = pts[7] - pts[1];
}
}
return Math.atan2(-dy, dx);
}
function hodograph(cubic) {
var hodo = [];
hodo[0] = 3 * (cubic[2] - cubic[0]);
hodo[1] = 3 * (cubic[3] - cubic[1]);
hodo[2] = 3 * (cubic[4] - cubic[2]);
hodo[3] = 3 * (cubic[5] - cubic[3]);
hodo[4] = 3 * (cubic[6] - cubic[4]);
hodo[5] = 3 * (cubic[7] - cubic[5]);
return hodo;
}
function hodograph2(cubic) {
var quad = hodograph(cubic);
var hodo = [];
hodo[0] = 2 * (quad[2] - quad[0]);
hodo[1] = 2 * (quad[3] - quad[1]);
hodo[2] = 2 * (quad[4] - quad[2]);
hodo[3] = 2 * (quad[5] - quad[3]);
return hodo;
}
function quadraticRootsReal(A, B, C, s) {
if (A == 0) {
if (B == 0) {
s[0] = 0;
return C == 0;
}
s[0] = -C / B;
return 1;
}
/* normal form: x^2 + px + q = 0 */
var p = B / (2 * A);
var q = C / A;
var p2 = p * p;
if (p2 < q) {
return 0;
}
var sqrt_D = 0;
if (p2 > q) {
sqrt_D = sqrt(p2 - q);
}
s[0] = sqrt_D - p;
s[1] = -sqrt_D - p;
return 1 + s[0] != s[1];
}
function add_valid_ts(s, realRoots, t) {
var foundRoots = 0;
for (var index = 0; index < realRoots; ++index) {
var tValue = s[index];
if (tValue >= 0 && tValue <= 1) {
for (var idx2 = 0; idx2 < foundRoots; ++idx2) {
if (t[idx2] != tValue) {
t[foundRoots++] = tValue;
}
}
}
}
return foundRoots;
}
function quadraticRootsValidT(a, b, c, t) {
var s = [];
var realRoots = quadraticRootsReal(A, B, C, s);
var foundRoots = add_valid_ts(s, realRoots, t);
return foundRoots != 0;
}
function find_cubic_inflections(cubic, tValues) {
var Ax = src[2] - src[0];
var Ay = src[3] - src[1];
var Bx = src[4] - 2 * src[2] + src[0];
var By = src[5] - 2 * src[3] + src[1];
var Cx = src[6] + 3 * (src[2] - src[4]) - src[0];
var Cy = src[7] + 3 * (src[3] - src[5]) - src[1];
return quadraticRootsValidT(Bx * Cy - By * Cx, (Ax * Cy - Ay * Cx),
Ax * By - Ay * Bx, tValues);
}
function dxy_at_t(curve, type, t) {
var dxy = {};
if (type == PATH_QUAD) {
var a = t - 1;
var b = 1 - 2 * t;
var c = t;
dxy.x = a * curve[0] + b * curve[2] + c * curve[4];
dxy.y = a * curve[1] + b * curve[3] + c * curve[5];
} else if (type == PATH_CONIC) {
var p20x = curve[4] - curve[0];
var p20y = curve[5] - curve[1];
var p10xw = (curve[2] - curve[0]) * curve[6];
var p10yw = (curve[3] - curve[1]) * curve[6];
var coeff0x = curve[6] * p20x - p20x;
var coeff0y = curve[6] * p20y - p20y;
var coeff1x = p20x - 2 * p10xw;
var coeff1y = p20y - 2 * p10yw;
dxy.x = t * (t * coeff0x + coeff1x) + p10xw;
dxy.y = t * (t * coeff0y + coeff1y) + p10yw;
} else if (type == PATH_CUBIC) {
var one_t = 1 - t;
var a = curve[0];
var b = curve[2];
var c = curve[4];
var d = curve[6];
dxy.x = 3 * ((b - a) * one_t * one_t + 2 * (c - b) * t * one_t + (d - c) * t * t);
a = curve[1];
b = curve[3];
c = curve[5];
d = curve[7];
dxy.y = 3 * ((b - a) * one_t * one_t + 2 * (c - b) * t * one_t + (d - c) * t * t);
}
return dxy;
}
function drawLabel(num, px, py) {
ctx.beginPath();
ctx.arc(px, py, 8, 0, Math.PI*2, true);
ctx.closePath();
ctx.strokeStyle = "rgba(0,0,0, 0.4)";
ctx.lineWidth = num == 0 || num == 3 ? 2 : 1;
ctx.stroke();
ctx.fillStyle = "black";
ctx.font = "normal 10px Arial";
// ctx.rotate(0.001);
ctx.fillText(num, px - 2, py + 3);
// ctx.rotate(-0.001);
}
function drawLabelX(ymin, num, loc) {
var px = (loc - srcLeft) * scale;
var py = (ymin - srcTop) * scale - 20;
drawLabel(num, px, py);
}
function drawLabelY(xmin, num, loc) {
var px = (xmin - srcLeft) * scale - 20;
var py = (loc - srcTop) * scale;
drawLabel(num, px, py);
}
function drawHodoOrigin(hx, hy, hMinX, hMinY, hMaxX, hMaxY) {
ctx.beginPath();
ctx.moveTo(hx, hy - 100);
ctx.lineTo(hx, hy);
ctx.strokeStyle = hMinY < 0 ? "green" : "blue";
ctx.stroke();
ctx.beginPath();
ctx.moveTo(hx, hy);
ctx.lineTo(hx, hy + 100);
ctx.strokeStyle = hMaxY > 0 ? "green" : "blue";
ctx.stroke();
ctx.beginPath();
ctx.moveTo(hx - 100, hy);
ctx.lineTo(hx, hy);
ctx.strokeStyle = hMinX < 0 ? "green" : "blue";
ctx.stroke();
ctx.beginPath();
ctx.moveTo(hx, hy);
ctx.lineTo(hx + 100, hy);
ctx.strokeStyle = hMaxX > 0 ? "green" : "blue";
ctx.stroke();
}
function scalexy(x, y, mag) {
var length = Math.sqrt(x * x + y * y);
return mag / length;
}
function drawArrow(x, y, dx, dy, s) {
var dscale = scalexy(dx, dy, 1 / scale * 100 * s);
dx *= dscale;
dy *= dscale;
ctx.beginPath();
ctx.moveTo((x - srcLeft) * scale, (y - srcTop) * scale);
x += dx;
y += dy;
ctx.lineTo((x - srcLeft) * scale, (y - srcTop) * scale);
dx /= 10;
dy /= 10;
ctx.lineTo((x - dy - srcLeft) * scale, (y + dx - srcTop) * scale);
ctx.lineTo((x + dx * 2 - srcLeft) * scale, (y + dy * 2 - srcTop) * scale);
ctx.lineTo((x + dy - srcLeft) * scale, (y - dx - srcTop) * scale);
ctx.lineTo((x - srcLeft) * scale, (y - srcTop) * scale);
ctx.strokeStyle = "rgba(0,75,0, 0.4)";
ctx.stroke();
}
function x_at_t(curve, t) {
var one_t = 1 - t;
if (curve.length == 4) {
return one_t * curve[0] + t * curve[2];
}
var one_t2 = one_t * one_t;
var t2 = t * t;
if (curve.length == 6) {
return one_t2 * curve[0] + 2 * one_t * t * curve[2] + t2 * curve[4];
}
if (curve.length == 7) {
return (one_t2 * curve[0] + 2 * one_t * t * curve[2] * curve[6] + t2 * curve[4])
/ (one_t2 +2 * one_t * t * curve[6] + t2);
}
var a = one_t2 * one_t;
var b = 3 * one_t2 * t;
var c = 3 * one_t * t2;
var d = t2 * t;
return a * curve[0] + b * curve[2] + c * curve[4] + d * curve[6];
}
function y_at_t(curve, t) {
var one_t = 1 - t;
if (curve.length == 4) {
return one_t * curve[1] + t * curve[3];
}
var one_t2 = one_t * one_t;
var t2 = t * t;
if (curve.length == 6) {
return one_t2 * curve[1] + 2 * one_t * t * curve[3] + t2 * curve[5];
}
if (curve.length == 7) {
return (one_t2 * curve[1] + 2 * one_t * t * curve[3] * curve[6] + t2 * curve[5])
/ (one_t2 +2 * one_t * t * curve[6] + t2);
}
var a = one_t2 * one_t;
var b = 3 * one_t2 * t;
var c = 3 * one_t * t2;
var d = t2 * t;
return a * curve[1] + b * curve[3] + c * curve[5] + d * curve[7];
}
function drawOrder(curve, label) {
var px = x_at_t(curve, 0.75);
var py = y_at_t(curve, 0.75);
var _px = (px - srcLeft) * scale;
var _py = (py - srcTop) * scale;
ctx.beginPath();
ctx.arc(_px, _py, 15, 0, Math.PI * 2, true);
ctx.closePath();
ctx.fillStyle = "white";
ctx.fill();
if (label == 'L') {
ctx.strokeStyle = "rgba(255,0,0, 1)";
ctx.fillStyle = "rgba(255,0,0, 1)";
} else {
ctx.strokeStyle = "rgba(0,0,255, 1)";
ctx.fillStyle = "rgba(0,0,255, 1)";
}
ctx.stroke();
ctx.font = "normal 16px Arial";
ctx.textAlign = "center";
ctx.fillText(label, _px, _py + 5);
ctx.font = "normal 10px Arial";
}
function drawID(curve, id) {
var px = x_at_t(curve, 0.5);
var py = y_at_t(curve, 0.5);
var _px = (px - srcLeft) * scale;
var _py = (py - srcTop) * scale;
draw_id_at(id, _px, _py);
}
function draw_id_at(id, _px, _py) {
ctx.beginPath();
ctx.arc(_px, _py, 15, 0, Math.PI * 2, true);
ctx.closePath();
ctx.fillStyle = "white";
ctx.fill();
ctx.strokeStyle = "rgba(127,127,0, 1)";
ctx.fillStyle = "rgba(127,127,0, 1)";
ctx.stroke();
ctx.font = "normal 16px Arial";
ctx.textAlign = "center";
ctx.fillText(id, _px, _py + 5);
ctx.font = "normal 10px Arial";
}
function drawLinePartialID(id, x1, y1, x2, y2, t1, t2) {
var curve = [x1, y1, x2, y2];
drawCurvePartialID(id, curve, t1, t2);
}
function drawQuadPartialID(id, x1, y1, x2, y2, x3, y3, t1, t2) {
var curve = [x1, y1, x2, y2, x3, y3];
drawCurvePartialID(id, curve, t1, t2);
}
function drawConicPartialID(id, x1, y1, x2, y2, x3, y3, w, t1, t2) {
var curve = [x1, y1, x2, y2, x3, y3, w];
drawCurvePartialID(id, curve, t1, t2);
}
function drawCubicPartialID(id, x1, y1, x2, y2, x3, y3, x4, y4, t1, t2) {
var curve = [x1, y1, x2, y2, x3, y3, x4, y4];
drawCurvePartialID(id, curve, t1, t2);
}
function drawCurvePartialID(id, curve, t1, t2) {
var px = x_at_t(curve, (t1 + t2) / 2);
var py = y_at_t(curve, (t1 + t2) / 2);
var _px = (px - srcLeft) * scale;
var _py = (py - srcTop) * scale;
draw_id_at(id, _px, _py);
}
function drawCurveSpecials(test, curve, type) {
if (pt_labels) {
drawPoints(curve, type, pt_labels == 2);
}
if (control_lines != 0) {
drawControlLines(curve, type, control_lines);
}
if (curve_t) {
drawPointAtT(curve, type);
}
if (draw_midpoint) {
var mid = pointAtT(curve, type, 0.5);
drawPoint(mid.x, mid.y, true);
}
if (draw_id) {
var id = idByCurve(test, curve, type);
if (id >= 0) {
drawID(curve, id);
}
}
if (type == PATH_LINE) {
return;
}
if (draw_deriviatives > 0) {
var d = dxy_at_t(curve, type, 0);
drawArrow(curve[0], curve[1], d.x, d.y, 1);
if (draw_deriviatives == 2) {
d = dxy_at_t(curve, type, 1);
if (type == PATH_CUBIC) {
drawArrow(curve[6], curve[7], d.x, d.y, 1);
} else {
drawArrow(curve[4], curve[5], d.x, d.y, 1);
}
}
if (draw_midpoint) {
var mid = pointAtT(curve, type, 0.5);
d = dxy_at_t(curve, type, 0.5);
drawArrow(mid.x, mid.y, d.x, d.y, 1);
}
}
if (type != PATH_CUBIC) {
return;
}
if (draw_sequence) {
var ymin = Math.min(curve[1], curve[3], curve[5], curve[7]);
for (var i = 0; i < 8; i+= 2) {
drawLabelX(ymin, i >> 1, curve[i]);
}
var xmin = Math.min(curve[0], curve[2], curve[4], curve[6]);
for (var i = 1; i < 8; i+= 2) {
drawLabelY(xmin, i >> 1, curve[i]);
}
}
}
function logCurves(test) {
for (curves in test) {
var curve = test[curves];
dumpCurve(curve);
}
}
function curveToString(curve) {
var str = "{{";
var length = curve.length == 7 ? 6 : curve.length;
if (curve.length == 7) {
str += "{";
}
for (i = 0; i < length; i += 2) {
str += curve[i].toFixed(decimal_places) + "," + curve[i + 1].toFixed(decimal_places);
if (i < curve.length - 2) {
str += "}, {";
}
}
str += "}";
if (curve.length == 7) {
str += "}, " + curve[6].toFixed(decimal_places);
}
str += "}";
return str;
}
function dumpCurve(curve) {
console.log(curveToString(curve));
}
function draw(test, lines, title) {
ctx.fillStyle = "rgba(0,0,0, 0.1)";
ctx.font = "normal 50px Arial";
ctx.textAlign = "left";
ctx.fillText(title, 50, 50);
ctx.font = "normal 10px Arial";
ctx.lineWidth = "1.001"; "0.999";
var secondPath = test.length;
var closeCount = 0;
logStart = -1;
logRange = 0;
// find last active rec type at this step
var curType = test[0];
var curStep = 0;
var hasOp = false;
var lastActive = 0;
var lastAdd = 0;
var lastCoin = 0;
var lastSect = 0;
var lastSort = 0;
var lastMark = 0;
var lastTop = 0;
activeCount = 0;
addCount = 0;
angleCount = 0;
opCount = 0;
sectCount = 0;
sortCount = 0;
topCount = 0;
markCount = 0;
activeMax = 0;
addMax = 0;
angleMax = 0;
coinMax = 0;
opMax = 0;
sectMax = 0;
sectMax2 = 0;
sortMax = 0;
topMax = 0;
markMax = 0;
lastIndex = test.length - 3;
for (var tIndex = 0; tIndex < test.length; tIndex += 3) {
var recType = test[tIndex];
if (!typeof recType == 'number' || recType < REC_TYPE_UNKNOWN || recType > REC_TYPE_LAST) {
console.log("unknown rec type: " + recType);
throw "stop execution";
}
// if (curType == recType && curType != REC_TYPE_ADD) {
// continue;
// }
var inStepRange = step_limit == 0 || curStep < step_limit;
curType = recType;
if (recType == REC_TYPE_OP) {
hasOp = true;
continue;
}
if (recType == REC_TYPE_UNKNOWN) {
// these types do not advance step
continue;
}
var bumpStep = false;
var records = test[tIndex + 2];
var fragType = records[0];
if (recType == REC_TYPE_ADD) {
if (records.length != 2) {
console.log("expect only two elements: " + records.length);
throw "stop execution";
}
if (fragType == ADD_MOVETO || fragType == ADD_CLOSE) {
continue;
}
++addMax;
if (!draw_add || !inStepRange) {
continue;
}
lastAdd = tIndex;
++addCount;
bumpStep = true;
}
if (recType == REC_TYPE_PATH && hasOp) {
secondPath = tIndex;
}
if (recType == REC_TYPE_PATH2 && hasOp) {
secondPath = tIndex;
}
if (recType == REC_TYPE_ACTIVE) {
++activeMax;
if (!draw_active || !inStepRange) {
continue;
}
lastActive = tIndex;
++activeCount;
bumpStep = true;
}
if (recType == REC_TYPE_ACTIVE_OP) {
++opMax;
if (!draw_op || !inStepRange) {
continue;
}
lastOp = tIndex;
++opCount;
bumpStep = true;
}
if (recType == REC_TYPE_AFTERPART) {
if (draw_angle != 3 || !inStepRange) {
continue;
}
lastAngle = tIndex;
++angleCount;
bumpStep = true;
}
if (recType == REC_TYPE_ANGLE) {
++angleMax;
if (draw_angle == 0 || draw_angle == 3 || !inStepRange) {
continue;
}
lastAngle = tIndex;
++angleCount;
bumpStep = true;
}
if (recType == REC_TYPE_COINCIDENCE) {
++coinMax;
if (!draw_coincidence || !inStepRange) {
continue;
}
lastCoin = tIndex;
++coinCount;
bumpStep = true;
}
if (recType == REC_TYPE_SECT) {
if (records.length != 2) {
console.log("expect only two elements: " + records.length);
throw "stop execution";
}
++sectMax;
var sectBump = 1;
switch (fragType) {
case INTERSECT_LINE:
case INTERSECT_QUAD_LINE:
case INTERSECT_QUAD:
case INTERSECT_CONIC_LINE:
case INTERSECT_CONIC:
case INTERSECT_SELF_CUBIC:
case INTERSECT_CUBIC_LINE:
case INTERSECT_CUBIC_QUAD:
case INTERSECT_CUBIC:
sectBump = 1;
break;
case INTERSECT_LINE_2:
case INTERSECT_QUAD_LINE_2:
case INTERSECT_QUAD_2:
case INTERSECT_CONIC_LINE_2:
case INTERSECT_CONIC_2:
case INTERSECT_CUBIC_LINE_2:
case INTERSECT_CUBIC_QUAD_2:
case INTERSECT_CUBIC_2:
sectBump = 2;
break;
case INTERSECT_LINE_NO:
case INTERSECT_QUAD_LINE_NO:
case INTERSECT_QUAD_NO:
case INTERSECT_CONIC_LINE_NO:
case INTERSECT_CONIC_NO:
case INTERSECT_SELF_CUBIC_NO:
case INTERSECT_CUBIC_LINE_NO:
case INTERSECT_CUBIC_QUAD_NO:
case INTERSECT_CUBIC_NO:
sectBump = 0;
break;
case INTERSECT_CUBIC_LINE_3:
case INTERSECT_CUBIC_QUAD_3:
case INTERSECT_CUBIC_3:
sectBump = 3;
break;
case INTERSECT_CUBIC_QUAD_4:
case INTERSECT_CUBIC_4:
sectBump = 4;
break;
default:
console.log("missing case " + records.length);
throw "stop execution";
}
sectMax2 += sectBump;
if (draw_intersection <= 1 || !inStepRange) {
continue;
}
lastSect = tIndex;
sectCount += sectBump;
bumpStep = true;
}
if (recType == REC_TYPE_SORT) {
++sortMax;
if (!draw_sort || !inStepRange) {
continue;
}
lastSort = tIndex;
++sortCount;
bumpStep = true;
}
if (recType == REC_TYPE_TOP) {
++topMax;
if (!draw_top || !inStepRange) {
continue;
}
lastTop = tIndex;
++topCount;
bumpStep = true;
}
if (recType == REC_TYPE_MARK) {
++markMax;
if (!draw_mark || !inStepRange) {
continue;
}
lastMark = tIndex;
++markCount;
bumpStep = true;
}
if (bumpStep) {
lastIndex = tIndex;
logStart = test[tIndex + 1];
logRange = records.length / 2;
++curStep;
}
}
stepMax = (draw_add ? addMax : 0)
+ (draw_active ? activeMax : 0)
+ (draw_angle ? angleMax : 0)
+ (draw_coincidence ? coinMax : 0)
+ (draw_op ? opMax : 0)
+ (draw_sort ? sortMax : 0)
+ (draw_top ? topMax : 0)
+ (draw_mark ? markMax : 0)
+ (draw_intersection == 2 ? sectMax : draw_intersection == 3 ? sectMax2 : 0);
if (stepMax == 0) {
stepMax = addMax + activeMax + angleMax + coinMax + opMax + sortMax + topMax + markMax;
}
drawnPts = [];
drawnLines = [];
drawnQuads = [];
drawnConics = [];
drawnCubics = [];
focusXmin = focusYmin = Infinity;
focusXmax = focusYmax = -Infinity;
var pathIndex = 0;
var opLetter = 'S';
for (var tIndex = lastIndex; tIndex >= 0; tIndex -= 3) {
var recType = test[tIndex];
var records = test[tIndex + 2];
for (var recordIndex = 0; recordIndex < records.length; recordIndex += 2) {
var fragType = records[recordIndex];
if (!typeof fragType == 'number' || fragType < 1 || fragType > FRAG_TYPE_LAST) {
console.log("unknown in range frag type: " + fragType);
throw "stop execution";
}
var frags = records[recordIndex + 1];
focus_enabled = false;
switch (recType) {
case REC_TYPE_COMPUTED:
if (draw_computed == 0) {
continue;
}
ctx.lineWidth = 1;
ctx.strokeStyle = pathIndex == 0 ? "black" : "red";
ctx.fillStyle = "blue";
var drawThis = false;
switch (fragType) {
case PATH_QUAD:
if ((draw_computed & 0x9) == 1 || ((draw_computed & 8) != 0
&& (draw_computed & 7) == pathIndex)) {
drawQuad(frags[0], frags[1], frags[2], frags[3],
frags[4], frags[5]);
drawThis = true;
}
break;
case PATH_CONIC:
if ((draw_computed & 0xA) == 2 || ((draw_computed & 8) != 0
&& (draw_computed & 7) == pathIndex)) {
drawConicWithQuads(frags[0], frags[1], frags[2], frags[3],
frags[4], frags[5], frags[6]);
drawThis = true;
}
break;
case PATH_CUBIC:
if ((draw_computed & 0xC) == 4 || ((draw_computed & 8) != 0
&& (draw_computed & 7) == pathIndex)) {
drawCubic(frags[0], frags[1], frags[2], frags[3],
frags[4], frags[5], frags[6], frags[7]);
drawThis = true;
}
++pathIndex;
break;
case COMPUTED_SET_1:
pathIndex = 0;
break;
case COMPUTED_SET_2:
pathIndex = 1;
break;
default:
console.log("unknown REC_TYPE_COMPUTED frag type: " + fragType);
throw "stop execution";
}
if (!drawThis || collect_bounds) {
break;
}
drawCurveSpecials(test, frags, fragType);
break;
case REC_TYPE_ALIGNED:
if (draw_path < 4) {
continue;
}
case REC_TYPE_PATH:
case REC_TYPE_PATH2:
if (REC_TYPE_ALIGNED != recType && draw_path >= 4) {
continue;
}
if (!draw_path) {
continue;
}
var firstPath = tIndex < secondPath;
if ((draw_path & (firstPath ? 1 : 2)) == 0) {
continue;
}
ctx.lineWidth = 1;
ctx.strokeStyle = firstPath ? "black" : "red";
ctx.fillStyle = "blue";
var frags2 = [];
switch (fragType) {
case PATH_LINE:
for (var i = 0; i < 4; ++ i) { frags2[i] = frags[i + 1]; }
drawLine(frags2[0], frags2[1], frags2[2], frags2[3]);
break;
case PATH_QUAD:
for (var i = 0; i < 6; ++ i) { frags2[i] = frags[i + 1]; }
drawQuad(frags2[0], frags2[1], frags2[2], frags2[3],
frags2[4], frags2[5]);
break;
case PATH_CONIC:
for (var i = 0; i < 7; ++ i) { frags2[i] = frags[i + 1]; }
drawConicWithQuads(frags2[0], frags2[1], frags2[2], frags2[3],
frags2[4], frags2[5], frags2[6]);
break;
case PATH_CUBIC:
for (var i = 0; i < 8; ++ i) { frags2[i] = frags[i + 1]; }
drawCubic(frags2[0], frags2[1], frags2[2], frags2[3],
frags2[4], frags2[5], frags2[6], frags2[7]);
break;
default:
console.log("unknown " + recType + " frag type: " + fragType);
throw "stop execution";
}
if (collect_bounds) {
break;
}
drawCurveSpecials(test, frags2, fragType);
break;
case REC_TYPE_OP:
switch (fragType) {
case OP_INTERSECT: opLetter = 'I'; break;
case OP_DIFFERENCE: opLetter = 'D'; break;
case OP_UNION: opLetter = 'U'; break;
case OP_XOR: opLetter = 'X'; break;
default:
console.log("unknown REC_TYPE_OP frag type: " + fragType);
throw "stop execution";
}
break;
case REC_TYPE_ACTIVE:
if (!draw_active || (step_limit > 0 && tIndex < lastActive)) {
continue;
}
var x1 = frags[SPAN_X1];
var y1 = frags[SPAN_Y1];
var x2 = frags[SPAN_X2];
var y2 = frags[SPAN_Y2];
var x3, y3, x3, y4, t1, t2, w;
ctx.lineWidth = 3;
ctx.strokeStyle = "rgba(0,0,255, 0.3)";
focus_enabled = true;
switch (fragType) {
case ACTIVE_LINE_SPAN:
t1 = frags[SPAN_L_T];
t2 = frags[SPAN_L_TEND];
drawLinePartial(x1, y1, x2, y2, t1, t2);
if (draw_id) {
drawLinePartialID(frags[0], x1, y1, x2, y2, t1, t2);
}
break;
case ACTIVE_QUAD_SPAN:
x3 = frags[SPAN_X3];
y3 = frags[SPAN_Y3];
t1 = frags[SPAN_Q_T];
t2 = frags[SPAN_Q_TEND];
drawQuadPartial(x1, y1, x2, y2, x3, y3, t1, t2);
if (draw_id) {
drawQuadPartialID(frags[0], x1, y1, x2, y2, x3, y3, t1, t2);
}
break;
case ACTIVE_CONIC_SPAN:
x3 = frags[SPAN_X3];
y3 = frags[SPAN_Y3];
t1 = frags[SPAN_K_T];
t2 = frags[SPAN_K_TEND];
w = frags[SPAN_K_W];
drawConicPartial(x1, y1, x2, y2, x3, y3, w, t1, t2);
if (draw_id) {
drawConicPartialID(frags[0], x1, y1, x2, y2, x3, y3, w, t1, t2);
}
break;
case ACTIVE_CUBIC_SPAN:
x3 = frags[SPAN_X3];
y3 = frags[SPAN_Y3];
x4 = frags[SPAN_X4];
y4 = frags[SPAN_Y4];
t1 = frags[SPAN_C_T];
t2 = frags[SPAN_C_TEND];
drawCubicPartial(x1, y1, x2, y2, x3, y3, x4, y4, t1, t2);
if (draw_id) {
drawCubicPartialID(frags[0], x1, y1, x2, y2, x3, y3, x4, y4, t1, t2);
}
break;
default:
console.log("unknown REC_TYPE_ACTIVE frag type: " + fragType);
throw "stop execution";
}
break;
case REC_TYPE_ACTIVE_OP:
if (!draw_op || (step_limit > 0 && tIndex < lastOp)) {
continue;
}
focus_enabled = true;
ctx.lineWidth = 3;
var activeSpan = frags[7] == "1";
ctx.strokeStyle = activeSpan ? "rgba(45,160,0, 0.3)" : "rgba(255,45,0, 0.5)";
var curve = curvePartialByID(test, frags[0], frags[1], frags[2]);
drawCurve(curve);
if (draw_op > 1) {
drawArc(curve, false, frags[3], frags[4]);
drawArc(curve, true, frags[5], frags[6]);
}
break;
case REC_TYPE_ADD:
if (!draw_add) {
continue;
}
ctx.lineWidth = 3;
ctx.strokeStyle = closeCount == 0 ? "rgba(0,0,255, 0.3)"
: closeCount == 1 ? "rgba(0,127,0, 0.3)"
: closeCount == 2 ? "rgba(0,127,127, 0.3)"
: closeCount == 3 ? "rgba(127,127,0, 0.3)"
: "rgba(127,0,127, 0.3)";
focus_enabled = true;
switch (fragType) {
case ADD_MOVETO:
break;
case ADD_LINETO:
if (step_limit == 0 || tIndex >= lastAdd) {
drawLine(frags[0], frags[1], frags[2], frags[3]);
}
break;
case ADD_QUADTO:
if (step_limit == 0 || tIndex >= lastAdd) {
drawQuad(frags[0], frags[1], frags[2], frags[3], frags[4], frags[5]);
}
break;
case ADD_CONICTO:
if (step_limit == 0 || tIndex >= lastAdd) {
drawConicWithQuads(frags[0], frags[1], frags[2], frags[3],
frags[4], frags[5], frags[6]);
}
break;
case ADD_CUBICTO:
if (step_limit == 0 || tIndex >= lastAdd) {
drawCubic(frags[0], frags[1], frags[2], frags[3],
frags[4], frags[5], frags[6], frags[7]);
}
break;
case ADD_CLOSE:
++closeCount;
break;
case ADD_FILL:
break;
default:
console.log("unknown REC_TYPE_ADD frag type: " + fragType);
throw "stop execution";
}
break;
case REC_TYPE_ANGLE:
angleBetween = frags[18] == "T";
afterIndex = 0;
if (draw_angle == 0 || draw_angle == 3 || (step_limit > 0 && tIndex < lastAngle)) {
continue;
}
focus_enabled = true;
ctx.lineWidth = 3;
ctx.strokeStyle = "rgba(127,45,127, 0.3)";
var leftCurve = curvePartialByID(test, frags[0], frags[4], frags[5]);
var midCurve = curvePartialByID(test, frags[6], frags[10], frags[11]);
var rightCurve = curvePartialByID(test, frags[12], frags[16], frags[17]);
drawCurve(leftCurve);
drawCurve(rightCurve);
ctx.strokeStyle = angleBetween ? "rgba(0,160,45, 0.3)" : "rgba(255,0,45, 0.5)";
drawCurve(midCurve);
if (draw_angle > 1) {
drawOrder(leftCurve, 'L');
drawOrder(rightCurve, 'R');
}
break;
case REC_TYPE_AFTERPART:
if (draw_angle != 3 || (step_limit > 0 && tIndex < lastAngle)) {
continue;
}
ctx.strokeStyle = afterIndex == 0 ? "rgba(255,0,0, 1.0)"
: (afterIndex == 1) == angleBetween ? "rgba(0,128,0, 1.0)"
: "rgba(0,0,255, 1.0)";
switch (fragType) {
case PATH_LINE:
drawLine(frags[0], frags[1], frags[2], frags[3]);
break;
case PATH_QUAD:
drawQuad(frags[0], frags[1], frags[2], frags[3],
frags[4], frags[5]);
break;
case PATH_CONIC:
drawConicWithQuads(frags[0], frags[1], frags[2], frags[3],
frags[4], frags[5], frags[6]);
break;
case PATH_CUBIC:
drawCubic(frags[0], frags[1], frags[2], frags[3],
frags[4], frags[5], frags[6], frags[7]);
break;
default:
console.log("unknown REC_TYPE_AFTERPART frag type: " + fragType);
throw "stop execution";
}
++afterIndex;
break;
case REC_TYPE_COINCIDENCE:
if (!draw_coincidence || (step_limit > 0 && tIndex < lastCoin)) {
continue;
}
focus_enabled = true;
ctx.lineWidth = 3;
ctx.strokeStyle = "rgba(127,45,63, 0.3)";
var curve = curvePartialByID(test, frags[0], frags[1], frags[2]);
drawCurve(curve);
break;
case REC_TYPE_SECT:
if (!draw_intersection) {
continue;
}
if (draw_intersection != 1 && (step_limit > 0 && tIndex < lastSect)) {
continue;
}
// draw_intersection == 1 : show all
// draw_intersection == 2 : step == 0 ? show all : show intersection line #step
// draw_intersection == 3 : step == 0 ? show all : show intersection #step
ctx.lineWidth = 1;
ctx.strokeStyle = "rgba(0,0,255, 0.3)";
ctx.fillStyle = "blue";
focus_enabled = true;
var f = [];
var c1s;
var c1l;
var c2s;
var c2l;
switch (fragType) {
case INTERSECT_LINE:
f.push(5, 6, 0, 7);
c1s = 1; c1l = 4; c2s = 8; c2l = 4;
break;
case INTERSECT_LINE_2:
f.push(5, 6, 0, 10);
f.push(8, 9, 7, 15);
c1s = 1; c1l = 4; c2s = 11; c2l = 4;
break;
case INTERSECT_LINE_NO:
c1s = 0; c1l = 4; c2s = 4; c2l = 4;
break;
case INTERSECT_QUAD_LINE:
f.push(7, 8, 0, 9);
c1s = 1; c1l = 6; c2s = 10; c2l = 4;
break;
case INTERSECT_QUAD_LINE_2:
f.push(7, 8, 0, 12);
f.push(10, 11, 9, 17);
c1s = 1; c1l = 6; c2s = 13; c2l = 4;
break;
case INTERSECT_QUAD_LINE_NO:
c1s = 0; c1l = 6; c2s = 6; c2l = 4;
break;
case INTERSECT_QUAD:
f.push(7, 8, 0, 9);
c1s = 1; c1l = 6; c2s = 10; c2l = 6;
break;
case INTERSECT_QUAD_2:
f.push(7, 8, 0, 12);
f.push(10, 11, 9, 19);
c1s = 1; c1l = 6; c2s = 13; c2l = 6;
break;
case INTERSECT_QUAD_NO:
c1s = 0; c1l = 6; c2s = 6; c2l = 6;
break;
case INTERSECT_CONIC_LINE:
f.push(8, 9, 0, 10);
c1s = 1; c1l = 7; c2s = 11; c2l = 4;
break;
case INTERSECT_CONIC_LINE_2:
f.push(8, 9, 0, 12);
f.push(11, 12, 10, 18);
c1s = 1; c1l = 7; c2s = 14; c2l = 4;
break;
case INTERSECT_CONIC_LINE_NO:
c1s = 0; c1l = 7; c2s = 7; c2l = 4;
break;
case INTERSECT_CONIC:
f.push(8, 9, 0, 10);
c1s = 1; c1l = 7; c2s = 11; c2l = 7;
break;
case INTERSECT_CONIC_2:
f.push(8, 9, 0, 13);
f.push(11, 12, 10, 21);
c1s = 1; c1l = 7; c2s = 14; c2l = 7;
break;
case INTERSECT_CONIC_NO:
c1s = 0; c1l = 7; c2s = 7; c2l = 7;
break;
case INTERSECT_SELF_CUBIC:
f.push(9, 10, 0, 11);
c1s = 1; c1l = 8; c2s = 0; c2l = 0;
break;
case INTERSECT_SELF_CUBIC_NO:
c1s = 0; c1l = 8; c2s = 0; c2l = 0;
break;
case INTERSECT_CUBIC_LINE:
f.push(9, 10, 0, 11);
c1s = 1; c1l = 8; c2s = 12; c2l = 4;
break;
case INTERSECT_CUBIC_LINE_2:
f.push(9, 10, 0, 14);
f.push(12, 13, 11, 19);
c1s = 1; c1l = 8; c2s = 15; c2l = 4;
break;
case INTERSECT_CUBIC_LINE_3:
f.push(9, 10, 0, 17);
f.push(12, 13, 11, 22);
f.push(15, 16, 14, 23);
c1s = 1; c1l = 8; c2s = 18; c2l = 4;
break;
case INTERSECT_CUBIC_QUAD_NO:
c1s = 0; c1l = 8; c2s = 8; c2l = 6;
break;
case INTERSECT_CUBIC_QUAD:
f.push(9, 10, 0, 11);
c1s = 1; c1l = 8; c2s = 12; c2l = 6;
break;
case INTERSECT_CUBIC_QUAD_2:
f.push(9, 10, 0, 14);
f.push(12, 13, 11, 21);
c1s = 1; c1l = 8; c2s = 15; c2l = 6;
break;
case INTERSECT_CUBIC_QUAD_3:
f.push(9, 10, 0, 17);
f.push(12, 13, 11, 24);
f.push(15, 16, 14, 25);
c1s = 1; c1l = 8; c2s = 18; c2l = 6;
break;
case INTERSECT_CUBIC_QUAD_4:
f.push(9, 10, 0, 20);
f.push(12, 13, 11, 27);
f.push(15, 16, 14, 28);
f.push(18, 19, 17, 29);
c1s = 1; c1l = 8; c2s = 21; c2l = 6;
break;
case INTERSECT_CUBIC_LINE_NO:
c1s = 0; c1l = 8; c2s = 8; c2l = 4;
break;
case INTERSECT_CUBIC:
f.push(9, 10, 0, 11);
c1s = 1; c1l = 8; c2s = 12; c2l = 8;
break;
case INTERSECT_CUBIC_2:
f.push(9, 10, 0, 14);
f.push(12, 13, 11, 23);
c1s = 1; c1l = 8; c2s = 15; c2l = 8;
break;
case INTERSECT_CUBIC_3:
f.push(9, 10, 0, 17);
f.push(12, 13, 11, 26);
f.push(15, 16, 14, 27);
c1s = 1; c1l = 8; c2s = 18; c2l = 8;
break;
case INTERSECT_CUBIC_4:
f.push(9, 10, 0, 20);
f.push(12, 13, 11, 29);
f.push(15, 16, 14, 30);
f.push(18, 19, 17, 31);
c1s = 1; c1l = 8; c2s = 21; c2l = 8;
break;
case INTERSECT_CUBIC_NO:
c1s = 0; c1l = 8; c2s = 8; c2l = 8;
break;
default:
console.log("unknown REC_TYPE_SECT frag type: " + fragType);
throw "stop execution";
}
if (draw_intersection != 1) {
var id = -1;
var curve;
switch (c1l) {
case 4:
drawLine(frags[c1s], frags[c1s + 1], frags[c1s + 2], frags[c1s + 3]);
if (draw_id) {
curve = [frags[c1s], frags[c1s + 1], frags[c1s + 2], frags[c1s + 3]];
id = idByCurve(test, curve, PATH_LINE);
}
break;
case 6:
drawQuad(frags[c1s], frags[c1s + 1], frags[c1s + 2], frags[c1s + 3],
frags[c1s + 4], frags[c1s + 5]);
if (draw_id) {
curve = [frags[c1s], frags[c1s + 1], frags[c1s + 2], frags[c1s + 3],
frags[c1s + 4], frags[c1s + 5]];
id = idByCurve(test, curve, PATH_QUAD);
}
break;
case 7:
drawConicWithQuads(frags[c1s], frags[c1s + 1], frags[c1s + 2], frags[c1s + 3],
frags[c1s + 4], frags[c1s + 5], frags[c1s + 6]);
if (draw_id) {
curve = [frags[c1s], frags[c1s + 1], frags[c1s + 2], frags[c1s + 3],
frags[c1s + 4], frags[c1s + 5], frags[c1s + 6]];
id = idByCurve(test, curve, PATH_CONIC);
}
break;
case 8:
drawCubic(frags[c1s], frags[c1s + 1], frags[c1s + 2], frags[c1s + 3],
frags[c1s + 4], frags[c1s + 5], frags[c1s + 6], frags[c1s + 7]);
if (draw_id) {
curve = [frags[c1s], frags[c1s + 1], frags[c1s + 2], frags[c1s + 3],
frags[c1s + 4], frags[c1s + 5], frags[c1s + 6], frags[c1s + 7]];
id = idByCurve(test, curve, PATH_CUBIC);
}
break;
}
if (id >= 0) {
drawID(curve, id);
}
id = -1;
switch (c2l) {
case 0:
break;
case 4:
drawLine(frags[c2s], frags[c2s + 1], frags[c2s + 2], frags[c2s + 3]);
if (draw_id) {
curve = [frags[c2s], frags[c2s + 1], frags[c2s + 2], frags[c2s + 3]];
id = idByCurve(test, curve, PATH_LINE);
}
break;
case 6:
drawQuad(frags[c2s], frags[c2s + 1], frags[c2s + 2], frags[c2s + 3],
frags[c2s + 4], frags[c2s + 5]);
if (draw_id) {
curve = [frags[c2s], frags[c2s + 1], frags[c2s + 2], frags[c2s + 3],
frags[c2s + 4], frags[c2s + 5]];
id = idByCurve(test, curve, PATH_QUAD);
}
break;
case 7:
drawConicWithQuads(frags[c2s], frags[c2s + 1], frags[c2s + 2], frags[c2s + 3],
frags[c2s + 4], frags[c2s + 5], frags[c2s + 6]);
if (draw_id) {
curve = [frags[c2s], frags[c2s + 1], frags[c2s + 2], frags[c2s + 3],
frags[c2s + 4], frags[c2s + 5], frags[c2s + 6]];
id = idByCurve(test, curve, PATH_CONIC);
}
break;
case 8:
drawCubic(frags[c2s], frags[c2s + 1], frags[c2s + 2], frags[c2s + 3],
frags[c2s + 4], frags[c2s + 5], frags[c2s + 6], frags[c2s + 7]);
if (draw_id) {
curve = [frags[c2s], frags[c2s + 1], frags[c2s + 2], frags[c2s + 3],
frags[c2s + 4], frags[c2s + 5], frags[c2s + 6], frags[c2s + 7]];
id = idByCurve(test, curve, PATH_CUBIC);
}
break;
}
if (id >= 0) {
drawID(curve, id);
}
}
if (collect_bounds) {
break;
}
if (draw_intersection != 3 || step_limit == 0 || tIndex >= lastSect) {
for (var idx = 0; idx < f.length; idx += 4) {
drawPoint(frags[f[idx]], frags[f[idx + 1]], true);
}
}
if (!draw_intersectT) {
break;
}
ctx.fillStyle = "red";
if (draw_intersection != 3 || step_limit == 0 || tIndex >= lastSect) {
for (var idx = 0; idx < f.length; idx += 4) {
drawTAtPointUp(frags[f[idx]], frags[f[idx + 1]], frags[f[idx + 2]]);
drawTAtPointDown(frags[f[idx]], frags[f[idx + 1]], frags[f[idx + 3]]);
}
}
break;
case REC_TYPE_SORT:
if (!draw_sort || (step_limit > 0 && tIndex < lastSort)) {
continue;
}
ctx.lineWidth = 3;
ctx.strokeStyle = "rgba(127,127,0, 0.5)";
focus_enabled = true;
switch (fragType) {
case SORT_UNARY:
case SORT_BINARY:
var curve = curvePartialByID(test, frags[0], frags[6], frags[8]);
drawCurve(curve);
break;
default:
console.log("unknown REC_TYPE_SORT frag type: " + fragType);
throw "stop execution";
}
break;
case REC_TYPE_TOP:
if (!draw_top || (step_limit > 0 && tIndex < lastTop)) {
continue;
}
ctx.lineWidth = 3;
ctx.strokeStyle = "rgba(127,127,0, 0.5)";
focus_enabled = true;
{
var curve = curvePartialByID(test, frags[0], frags[1], frags[2]);
drawCurve(curve);
var type = PATH_LINE + (curve.length / 2 - 2);
var mid = pointAtT(curve, type, 0.5);
var d = dxy_at_t(curve, type, 0.5);
drawArrow(mid.x, mid.y, d.x, d.y, 0.3);
}
break;
case REC_TYPE_MARK:
if (!draw_mark || (step_limit > 0 && tIndex < lastMark)) {
continue;
}
ctx.lineWidth = 3;
ctx.strokeStyle = fragType >= MARK_DONE_LINE ?
"rgba(127,0,127, 0.5)" : "rgba(127,127,0, 0.5)";
focus_enabled = true;
switch (fragType) {
case MARK_LINE:
case MARK_DONE_LINE:
case MARK_UNSORTABLE_LINE:
case MARK_SIMPLE_LINE:
case MARK_SIMPLE_DONE_LINE:
case MARK_DONE_UNARY_LINE:
drawLinePartial(frags[1], frags[2], frags[3], frags[4],
frags[5], frags[9]);
if (draw_id) {
drawLinePartialID(frags[0], frags[1], frags[2], frags[3], frags[4],
frags[5], frags[9]);
}
break;
case MARK_QUAD:
case MARK_DONE_QUAD:
case MARK_UNSORTABLE_QUAD:
case MARK_SIMPLE_QUAD:
case MARK_SIMPLE_DONE_QUAD:
case MARK_DONE_UNARY_QUAD:
drawQuadPartial(frags[1], frags[2], frags[3], frags[4],
frags[5], frags[6], frags[7], frags[11]);
if (draw_id) {
drawQuadPartialID(frags[0], frags[1], frags[2], frags[3], frags[4],
frags[5], frags[6], frags[7], frags[11]);
}
break;
case MARK_CUBIC:
case MARK_DONE_CUBIC:
case MARK_UNSORTABLE_CUBIC:
case MARK_SIMPLE_CUBIC:
case MARK_SIMPLE_DONE_CUBIC:
case MARK_DONE_UNARY_CUBIC:
drawCubicPartial(frags[1], frags[2], frags[3], frags[4],
frags[5], frags[6], frags[7], frags[8], frags[9], frags[13]);
if (draw_id) {
drawCubicPartialID(frags[0], frags[1], frags[2], frags[3], frags[4],
frags[5], frags[6], frags[7], frags[8], frags[9], frags[13]);
}
break;
case MARK_ANGLE_LAST:
// FIXME: ignored for now
break;
default:
console.log("unknown REC_TYPE_MARK frag type: " + fragType);
throw "stop execution";
}
break;
default:
continue;
}
}
switch (recType) {
case REC_TYPE_SORT:
if (!draw_sort || (step_limit > 0 && tIndex < lastSort)) {
break;
}
var angles = []; // use tangent lines to describe arcs
var windFrom = [];
var windTo = [];
var opp = [];
var minXY = Number.MAX_VALUE;
var partial;
focus_enabled = true;
var someUnsortable = false;
for (var recordIndex = 0; recordIndex < records.length; recordIndex += 2) {
var fragType = records[recordIndex];
var frags = records[recordIndex + 1];
var unsortable = (fragType == SORT_UNARY && frags[14]) ||
(fragType == SORT_BINARY && frags[16]);
someUnsortable |= unsortable;
switch (fragType) {
case SORT_UNARY:
case SORT_BINARY:
partial = curvePartialByID(test, frags[0], frags[6], frags[8]);
break;
default:
console.log("unknown REC_TYPE_SORT frag type: " + fragType);
throw "stop execution";
}
var dx = boundsWidth(partial);
var dy = boundsHeight(partial);
minXY = Math.min(minXY, dx * dx + dy * dy);
if (collect_bounds) {
continue;
}
angles.push(tangent(partial));
var from = frags[12];
var to = frags[12];
var sgn = frags[10];
if (sgn < 0) {
from -= frags[11];
} else if (sgn > 0) {
to -= frags[11];
}
windFrom.push(from + (unsortable ? "!" : ""));
windTo.push(to + (unsortable ? "!" : ""));
opp.push(fragType == SORT_BINARY);
if (draw_sort == 1) {
drawOrder(partial, frags[12]);
} else {
drawOrder(partial, (recordIndex / 2) + 1);
}
}
var radius = Math.sqrt(minXY) / 2 * scale;
radius = Math.min(50, radius);
var scaledRadius = radius / scale;
var centerX = partial[0];
var centerY = partial[1];
if (collect_bounds) {
if (focus_enabled) {
focusXmin = Math.min(focusXmin, centerX - scaledRadius);
focusYmin = Math.min(focusYmin, centerY - scaledRadius);
focusXmax = Math.max(focusXmax, centerX + scaledRadius);
focusYmax = Math.max(focusYmax, centerY + scaledRadius);
}
break;
}
break;
default:
break;
}
}
if (collect_bounds) {
return;
}
if (draw_log && logStart >= 0) {
ctx.font = "normal 10px Arial";
ctx.textAlign = "left";
ctx.beginPath();
var top = screenHeight - 20 - (logRange + 2) * 10;
ctx.rect(50, top, screenWidth - 100, (logRange + 2) * 10);
ctx.fillStyle = "white";
ctx.fill();
ctx.fillStyle = "rgba(0,0,0, 0.5)";
if (logStart > 0) {
ctx.fillText(lines[logStart - 1], 50, top + 8);
}
ctx.fillStyle = "black";
for (var idx = 0; idx < logRange; ++idx) {
ctx.fillText(lines[logStart + idx], 50, top + 18 + 10 * idx);
}
ctx.fillStyle = "rgba(0,0,0, 0.5)";
if (logStart + logRange < lines.length) {
ctx.fillText(lines[logStart + logRange], 50, top + 18 + 10 * logRange);
}
}
if (draw_legend) {
var pos = 0;
var drawSomething = draw_add | draw_active | draw_angle | draw_coincidence | draw_sort | draw_mark;
// drawBox(pos++, "yellow", "black", opLetter, true, '');
drawBox(pos++, "rgba(0,0,255, 0.3)", "black", draw_intersection > 1 ? sectCount : sectMax2, draw_intersection, intersectionKey);
drawBox(pos++, "rgba(0,0,255, 0.3)", "black", draw_add ? addCount : addMax, draw_add, addKey);
drawBox(pos++, "rgba(0,0,255, 0.3)", "black", draw_active ? activeCount : activeMax, draw_active, activeKey);
drawBox(pos++, "rgba(127,127,0, 0.3)", "black", draw_angle ? angleCount : angleMax, draw_angle, angleKey);
drawBox(pos++, "rgba(127,127,0, 0.3)", "black", draw_coincidence ? coinCount : coinMax, draw_coincidence, coincidenceKey);
drawBox(pos++, "rgba(127,127,0, 0.3)", "black", draw_op ? opCount : opMax, draw_op, opKey);
drawBox(pos++, "rgba(127,127,0, 0.3)", "black", draw_sort ? sortCount : sortMax, draw_sort, sortKey);
drawBox(pos++, "rgba(127,127,0, 0.3)", "black", draw_top ? topCount : topMax, draw_top, topKey);
drawBox(pos++, "rgba(127,0,127, 0.3)", "black", draw_mark ? markCount : markMax, draw_mark, markKey);
drawBox(pos++, "black", "white",
(new Array('P', 'P1', 'P2', 'P', 'p', 'p1', 'p2'))[draw_path], draw_path != 0, pathKey);
drawBox(pos++, "rgba(0,63,0, 0.7)", "white",
(new Array('Q', 'Q', 'C', 'QC', 'Qc', 'Cq'))[draw_computed],
draw_computed != 0, computedKey);
drawBox(pos++, "green", "black", step_limit, drawSomething, '');
drawBox(pos++, "green", "black", stepMax, drawSomething, '');
drawBox(pos++, "rgba(255,0,0, 0.6)", "black", lastIndex, drawSomething & draw_log, '');
drawBox(pos++, "rgba(255,0,0, 0.6)", "black", test.length - 1, drawSomething & draw_log, '');
if (curve_t) {
drawCurveTControl();
}
ctx.font = "normal 20px Arial";
ctx.fillStyle = "rgba(0,0,0, 0.3)";
ctx.textAlign = "right";
ctx.fillText(scale.toFixed(decimal_places) + 'x' , screenWidth - 10, screenHeight - 5);
}
if (draw_hints) {
ctx.font = "normal 10px Arial";
ctx.fillStyle = "rgba(0,0,0, 0.5)";
ctx.textAlign = "right";
var y = 4;
ctx.fillText("control lines : " + controlLinesKey, ctx.screenWidthwidth - 10, pos * 50 + y++ * 10);
ctx.fillText("curve t : " + curveTKey, screenWidth - 10, pos * 50 + y++ * 10);
ctx.fillText("deriviatives : " + deriviativesKey, screenWidth - 10, pos * 50 + y++ * 10);
ctx.fillText("intersect t : " + intersectTKey, screenWidth - 10, pos * 50 + y++ * 10);
ctx.fillText("log : " + logKey, screenWidth - 10, pos * 50 + y++ * 10);
ctx.fillText("log curve : " + logCurvesKey, screenWidth - 10, pos * 50 + y++ * 10);
ctx.fillText("mid point : " + midpointKey, screenWidth - 10, pos * 50 + y++ * 10);
ctx.fillText("points : " + ptsKey, screenWidth - 10, pos * 50 + y++ * 10);
ctx.fillText("sequence : " + sequenceKey, screenWidth - 10, pos * 50 + y++ * 10);
ctx.fillText("xy : " + xyKey, screenWidth - 10, pos * 50 + y++ * 10);
}
}
function drawBox(y, backC, foreC, str, enable, label) {
ctx.beginPath();
ctx.fillStyle = backC;
ctx.rect(screenWidth - 40, y * 50 + 10, 40, 30);
ctx.fill();
ctx.font = "normal 16px Arial";
ctx.fillStyle = foreC;
ctx.textAlign = "center";
ctx.fillText(str, screenWidth - 20, y * 50 + 32);
if (!enable) {
ctx.fillStyle = "rgba(255,255,255, 0.5)";
ctx.fill();
}
if (label != '') {
ctx.font = "normal 9px Arial";
ctx.fillStyle = "black";
ctx.fillText(label, screenWidth - 47, y * 50 + 40);
}
}
function drawCurveTControl() {
ctx.lineWidth = 2;
ctx.strokeStyle = "rgba(0,0,0, 0.3)";
ctx.beginPath();
ctx.rect(screenWidth - 80, 40, 28, screenHeight - 80);
ctx.stroke();
var ty = 40 + curveT * (screenHeight - 80);
ctx.beginPath();
ctx.moveTo(screenWidth - 80, ty);
ctx.lineTo(screenWidth - 85, ty - 5);
ctx.lineTo(screenWidth - 85, ty + 5);
ctx.lineTo(screenWidth - 80, ty);
ctx.fillStyle = "rgba(0,0,0, 0.6)";
ctx.fill();
var num = curveT.toFixed(decimal_places);
ctx.font = "normal 10px Arial";
ctx.textAlign = "left";
ctx.fillText(num, screenWidth - 78, ty);
}
function ptInTControl() {
var e = window.event;
var tgt = e.target || e.srcElement;
var left = tgt.offsetLeft;
var top = tgt.offsetTop;
var x = (e.clientX - left);
var y = (e.clientY - top);
if (x < screenWidth - 80 || x > screenWidth - 50) {
return false;
}
if (y < 40 || y > screenHeight - 80) {
return false;
}
curveT = (y - 40) / (screenHeight - 120);
if (curveT < 0 || curveT > 1) {
throw "stop execution";
}
return true;
}
function drawTop() {
if (tests[testIndex] == null) {
var str = testDivs[testIndex].textContent;
parse_all(str);
var title = testDivs[testIndex].id.toString();
testTitles[testIndex] = title;
}
init(tests[testIndex]);
redraw();
}
function redraw() {
if (focus_on_selection) {
collect_bounds = true;
draw(tests[testIndex], testLines[testIndex], testTitles[testIndex]);
collect_bounds = false;
if (focusXmin < focusXmax && focusYmin < focusYmax) {
setScale(focusXmin, focusXmax, focusYmin, focusYmax);
}
}
ctx.beginPath();
ctx.fillStyle = "white";
ctx.rect(0, 0, screenWidth, screenHeight);
ctx.fill();
draw(tests[testIndex], testLines[testIndex], testTitles[testIndex]);
}
function dumpCurvePartial(test, id, t0, t1) {
var curve = curveByID(test, id);
var name = ["line", "quad", "cubic"][curve.length / 2 - 2];
console.log("id=" + id + " " + name + "=" + curveToString(curve)
+ " t0=" + t0 + " t1=" + t1
+ " partial=" + curveToString(curvePartialByID(test, id, t0, t1)));
}
function dumpAngleTest(test, id, t0, t1) {
var curve = curveByID(test, id);
console.log(" { {" + curveToString(curve) + "}, "
+ curve.length / 2 + ", " + t0 + ", " + t1 + ", {} }, //");
}
function dumpLogToConsole() {
if (logStart < 0) {
return;
}
var test = tests[testIndex];
var recType = REC_TYPE_UNKNOWN;
var records;
for (var index = 0; index < test.length; index += 3) {
var lastLineNo = test[index + 1];
if (lastLineNo >= logStart && lastLineNo < logStart + logRange) {
recType = test[index];
records = test[index + 2];
break;
}
}
if (recType == REC_TYPE_UNKNOWN) {
return;
}
var lines = testLines[testIndex];
for (var idx = 0; idx < logRange; ++idx) {
var line = lines[logStart + idx];
console.log(line);
for (var recordIndex = 0; recordIndex < records.length; recordIndex += 2) {
var fragType = records[recordIndex];
var frags = records[recordIndex + 1];
if (recType == REC_TYPE_ANGLE && fragType == ANGLE_AFTER) {
dumpCurvePartial(test, frags[0], frags[4], frags[5]);
dumpCurvePartial(test, frags[6], frags[10], frags[11]);
dumpCurvePartial(test, frags[12], frags[16], frags[17]);
console.log("\nstatic IntersectData intersectDataSet[] = { //");
dumpAngleTest(test, frags[0], frags[4], frags[5]);
dumpAngleTest(test, frags[6], frags[10], frags[11]);
dumpAngleTest(test, frags[12], frags[16], frags[17]);
console.log("}; //");
}
}
}
}
var activeKey = 'a';
var pathKey = 'b';
var pathBackKey = 'B';
var centerKey = 'c';
var coincidenceKey = 'C';
var addKey = 'd';
var deriviativesKey = 'f';
var angleKey = 'g';
var angleBackKey = 'G';
var intersectionKey = 'i';
var intersectionBackKey = 'I';
var sequenceKey = 'j';
var midpointKey = 'k';
var logKey = 'l';
var logToConsoleKey = 'L';
var markKey = 'm';
var sortKey = 'o';
var opKey = 'p';
var opBackKey = 'P';
var computedKey = 'q';
var computedBackKey = 'Q';
var stepKey = 's';
var stepBackKey = 'S';
var intersectTKey = 't';
var topKey = 'T';
var curveTKey = 'u';
var controlLinesBackKey = 'V';
var controlLinesKey = 'v';
var ptsKey = 'x';
var xyKey = 'y';
var logCurvesKey = 'z';
var focusKey = '`';
var idKey = '.';
var retinaKey = '\\';
function doKeyPress(evt) {
var char = String.fromCharCode(evt.charCode);
var focusWasOn = false;
switch (char) {
case '0':
case '1':
case '2':
case '3':
case '4':
case '5':
case '6':
case '7':
case '8':
case '9':
decimal_places = char - '0';
redraw();
break;
case activeKey:
draw_active ^= true;
redraw();
break;
case addKey:
draw_add ^= true;
redraw();
break;
case angleKey:
draw_angle = (draw_angle + 1) % 4;
redraw();
break;
case angleBackKey:
draw_angle = (draw_angle + 2) % 3;
redraw();
break;
case centerKey:
setScale(xmin, xmax, ymin, ymax);
redraw();
break;
case coincidenceKey:
draw_coincidence ^= true;
redraw();
break;
case controlLinesBackKey:
control_lines = (control_lines + 3) % 4;
redraw();
break;
case controlLinesKey:
control_lines = (control_lines + 1) % 4;
redraw();
break;
case computedBackKey:
draw_computed = (draw_computed + 5) % 6;
redraw();
break;
case computedKey:
draw_computed = (draw_computed + 1) % 6;
redraw();
break;
case curveTKey:
curve_t ^= true;
if (curve_t) {
draw_legend = true;
}
redraw();
break;
case deriviativesKey:
draw_deriviatives = (draw_deriviatives + 1) % 3;
redraw();
break;
case focusKey:
focus_on_selection ^= true;
setScale(xmin, xmax, ymin, ymax);
redraw();
break;
case idKey:
draw_id ^= true;
redraw();
break;
case intersectionBackKey:
draw_intersection = (draw_intersection + 3) % 4;
redraw();
break;
case intersectionKey:
draw_intersection = (draw_intersection + 1) % 4;
redraw();
break;
case intersectTKey:
draw_intersectT ^= true;
redraw();
break;
case logCurvesKey:
logCurves(tests[testIndex]);
break;
case logKey:
draw_log ^= true;
redraw();
break;
case logToConsoleKey:
if (draw_log) {
dumpLogToConsole();
}
break;
case markKey:
draw_mark ^= true;
redraw();
break;
case midpointKey:
draw_midpoint ^= true;
redraw();
break;
case opKey:
draw_op = (draw_op + 1) % 3;
redraw();
break;
case opBackKey:
draw_op = (draw_op + 2) % 3;
redraw();
break;
case pathKey:
draw_path = (draw_path + 1) % (4 + (hasAlignedPath ? 3 : 0));
redraw();
break;
case pathBackKey:
draw_path = (draw_path + 3 + (hasAlignedPath ? 3 : 0)) % (4 + (hasAlignedPath ? 3 : 0));
redraw();
break;
case ptsKey:
pt_labels = (pt_labels + 1) % 3;
redraw();
break;
case retinaKey:
retina_scale ^= true;
drawTop();
break;
case sequenceKey:
draw_sequence ^= true;
redraw();
break;
case sortKey:
draw_sort = (draw_sort + 1) % 3;
drawTop();
break;
case stepKey:
step_limit++;
if (step_limit > stepMax) {
step_limit = stepMax;
}
redraw();
break;
case stepBackKey:
step_limit--;
if (step_limit < 0) {
step_limit = 0;
}
redraw();
break;
case topKey:
draw_top ^= true;
redraw();
break;
case xyKey:
debug_xy = (debug_xy + 1) % 3;
redraw();
break;
case '-':
focusWasOn = focus_on_selection;
if (focusWasOn) {
focus_on_selection = false;
scale /= 1.2;
} else {
scale /= 2;
calcLeftTop();
}
redraw();
focus_on_selection = focusWasOn;
break;
case '=':
case '+':
focusWasOn = focus_on_selection;
if (focusWasOn) {
focus_on_selection = false;
scale *= 1.2;
} else {
scale *= 2;
calcLeftTop();
}
redraw();
focus_on_selection = focusWasOn;
break;
case '?':
draw_hints ^= true;
if (draw_hints && !draw_legend) {
draw_legend = true;
}
redraw();
break;
case '/':
draw_legend ^= true;
redraw();
break;
}
}
function doKeyDown(evt) {
var char = evt.keyCode;
var preventDefault = false;
switch (char) {
case 37: // left arrow
if (evt.shiftKey) {
testIndex -= 9;
}
if (--testIndex < 0)
testIndex = tests.length - 1;
drawTop();
preventDefault = true;
break;
case 39: // right arrow
if (evt.shiftKey) {
testIndex += 9;
}
if (++testIndex >= tests.length)
testIndex = 0;
drawTop();
preventDefault = true;
break;
}
if (preventDefault) {
evt.preventDefault();
return false;
}
return true;
}
(function() {
var hidden = "hidden";
// Standards:
if (hidden in document)
document.addEventListener("visibilitychange", onchange);
else if ((hidden = "mozHidden") in document)
document.addEventListener("mozvisibilitychange", onchange);
else if ((hidden = "webkitHidden") in document)
document.addEventListener("webkitvisibilitychange", onchange);
else if ((hidden = "msHidden") in document)
document.addEventListener("msvisibilitychange", onchange);
// IE 9 and lower:
else if ('onfocusin' in document)
document.onfocusin = document.onfocusout = onchange;
// All others:
else
window.onpageshow = window.onpagehide
= window.onfocus = window.onblur = onchange;
function onchange (evt) {
var v = 'visible', h = 'hidden',
evtMap = {
focus:v, focusin:v, pageshow:v, blur:h, focusout:h, pagehide:h
};
evt = evt || window.event;
if (evt.type in evtMap)
document.body.className = evtMap[evt.type];
else
document.body.className = this[hidden] ? "hidden" : "visible";
}
})();
function calcXY() {
var e = window.event;
var tgt = e.target || e.srcElement;
var left = tgt.offsetLeft;
var top = tgt.offsetTop;
mouseX = (e.clientX - left) / scale + srcLeft;
mouseY = (e.clientY - top) / scale + srcTop;
}
function calcLeftTop() {
srcLeft = mouseX - screenWidth / 2 / scale;
srcTop = mouseY - screenHeight / 2 / scale;
}
var disableClick = false;
function handleMouseClick() {
if (disableClick) {
return;
}
if (!curve_t || !ptInTControl()) {
calcXY();
calcLeftTop();
}
redraw();
// if (!curve_t || !ptInTControl()) {
// mouseX = screenWidth / 2 / scale + srcLeft;
// mouseY = screenHeight / 2 / scale + srcTop;
// }
}
function handleMouseOver() {
calcXY();
if (debug_xy != 2) {
return;
}
var num = mouseX.toFixed(decimal_places) + ", " + mouseY.toFixed(decimal_places);
ctx.beginPath();
ctx.rect(300,100,num.length * 6,10);
ctx.fillStyle="white";
ctx.fill();
ctx.font = "normal 10px Arial";
ctx.fillStyle="black";
ctx.textAlign = "left";
ctx.fillText(num, 300, 108);
}
function start() {
for (var i = 0; i < testDivs.length; ++i) {
tests[i] = null;
}
testIndex = 0;
drawTop();
window.addEventListener('keypress', doKeyPress, true);
window.addEventListener('keydown', doKeyDown, true);
window.onresize = function() {
drawTop();
}
/*
window.onpagehide = function() {
disableClick = true;
}
*/
window.onpageshow = function () {
disableClick = false;
}
}
</script>
</head>
<body onLoad="start();">
<canvas id="canvas" width="750" height="500"
onmousemove="handleMouseOver()"
onclick="handleMouseClick()"
></canvas >
</body>
</html>