[_cairo_spline_bound] Simplify condition

This commit is contained in:
Behdad Esfahbod 2008-12-28 02:49:39 -05:00
parent 3bf1b7d574
commit 0b59e29004

View file

@ -277,18 +277,22 @@ _cairo_spline_bound (cairo_spline_add_point_func_t add_point_func,
double b2 = b * b; \
double delta = b2 - a * c; \
if (delta > 0) { \
double a2_b2 = a * a + b2; \
cairo_bool_t feasible; \
double _2ab = 2 * a * b; \
double _b_a = - b / a; \
/* We are only interested in solutions t that satisfy 0<t<1 \
* here. We do some checks to avoid sqrt if the solutions \
* are not in that range. The checks can be derived from: \
* \
* 0 < (-b±delta)/a < 1 \
*/ \
if ((_2ab >= 0 && delta > b2 && delta < a2_b2 - _2ab) || \
(_2ab < 0 && ((_b_a>=1 && (delta < b2 && delta > a2_b2 + _2ab)) || \
(_b_a< 1 && (delta < b2 || delta < a2_b2 + _2ab))))) { \
if (_2ab >= 0) \
feasible = delta > b2 && delta < a*a + b2 - _2ab; \
else if (-b / a >= 1) \
feasible = delta < b2 && delta > a*a + b2 + _2ab; \
else \
feasible = delta < b2 || delta < a*a + b2 + _2ab; \
\
if (unlikely (feasible)) { \
double sqrt_delta = sqrt (delta); \
ADD ((-b - sqrt_delta) / a); \
ADD ((-b + sqrt_delta) / a); \