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Side by Side Diff: src/pathops/SkQuarticRoot.cpp

Issue 21359002: path ops work in progress (Closed) Base URL: https://skia.googlecode.com/svn/trunk
Patch Set: remove space Created 7 years, 3 months ago
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1 // from http://tog.acm.org/resources/GraphicsGems/gems/Roots3And4.c 1 // from http://tog.acm.org/resources/GraphicsGems/gems/Roots3And4.c
2 /* 2 /*
3 * Roots3And4.c 3 * Roots3And4.c
4 * 4 *
5 * Utility functions to find cubic and quartic roots, 5 * Utility functions to find cubic and quartic roots,
6 * coefficients are passed like this: 6 * coefficients are passed like this:
7 * 7 *
8 * c[0] + c[1]*x + c[2]*x^2 + c[3]*x^3 + c[4]*x^4 = 0 8 * c[0] + c[1]*x + c[2]*x^2 + c[3]*x^3 + c[4]*x^4 = 0
9 * 9 *
10 * The functions return the number of non-complex roots and 10 * The functions return the number of non-complex roots and
(...skipping 22 matching lines...) Expand all
33 const double t0, const bool oneHint, double roots[4]) { 33 const double t0, const bool oneHint, double roots[4]) {
34 #ifdef SK_DEBUG 34 #ifdef SK_DEBUG
35 // create a string mathematica understands 35 // create a string mathematica understands
36 // GDB set print repe 15 # if repeated digits is a bother 36 // GDB set print repe 15 # if repeated digits is a bother
37 // set print elements 400 # if line doesn't fit 37 // set print elements 400 # if line doesn't fit
38 char str[1024]; 38 char str[1024];
39 sk_bzero(str, sizeof(str)); 39 sk_bzero(str, sizeof(str));
40 SK_SNPRINTF(str, sizeof(str), 40 SK_SNPRINTF(str, sizeof(str),
41 "Solve[%1.19g x^4 + %1.19g x^3 + %1.19g x^2 + %1.19g x + %1.19g == 0 , x]", 41 "Solve[%1.19g x^4 + %1.19g x^3 + %1.19g x^2 + %1.19g x + %1.19g == 0 , x]",
42 t4, t3, t2, t1, t0); 42 t4, t3, t2, t1, t0);
43 mathematica_ize(str, sizeof(str)); 43 SkPathOpsDebug::MathematicaIze(str, sizeof(str));
44 #if ONE_OFF_DEBUG && ONE_OFF_DEBUG_MATHEMATICA 44 #if ONE_OFF_DEBUG && ONE_OFF_DEBUG_MATHEMATICA
45 SkDebugf("%s\n", str); 45 SkDebugf("%s\n", str);
46 #endif 46 #endif
47 #endif 47 #endif
48 if (approximately_zero_when_compared_to(t4, t0) // 0 is one root 48 if (approximately_zero_when_compared_to(t4, t0) // 0 is one root
49 && approximately_zero_when_compared_to(t4, t1) 49 && approximately_zero_when_compared_to(t4, t1)
50 && approximately_zero_when_compared_to(t4, t2)) { 50 && approximately_zero_when_compared_to(t4, t2)) {
51 if (approximately_zero_when_compared_to(t3, t0) 51 if (approximately_zero_when_compared_to(t3, t0)
52 && approximately_zero_when_compared_to(t3, t1) 52 && approximately_zero_when_compared_to(t3, t1)
53 && approximately_zero_when_compared_to(t3, t2)) { 53 && approximately_zero_when_compared_to(t3, t2)) {
(...skipping 102 matching lines...) Expand 10 before | Expand all | Expand 10 after
156 if (j < --num) { 156 if (j < --num) {
157 s[j] = s[num]; 157 s[j] = s[num];
158 } 158 }
159 } else { 159 } else {
160 ++j; 160 ++j;
161 } 161 }
162 } 162 }
163 } 163 }
164 return num; 164 return num;
165 } 165 }
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