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%% options
copyright owner = Dirk Krause
copyright year = 2012-xxxx
license = bsd
%% header
#ifdef __cplusplus
extern "C" {
#endif
/** Bezier curve value calculation.
@param x0 Start point value.
@param xp Value in control point near start.
@param xm Value in control point near end.
@param x1 End point.
@param t The t parameter.
@param ec Pointer to error code variable, may be NULL.
@return Calculation result.
*/
double
dk3bezier_value(
double x0, double xp, double xm, double x1, double t, int *ec
);
/** Add Bezier curve segment to bounding box.
@param bb Bounding box to modify.
@param x0 Start point x coordinate.
@param y0 Start point y coordinate.
@param xp Control point near start x coordinate.
@param yp Control point near start y coordinate.
@param xm Control point near end x coordinate.
@param ym Control point near end y coordinate.
@param x1 End point x coordinate.
@param y1 End point y coordinate.
@param ra Half line width.
@param ec Pointer to error code variable, may be NULL.
@return 1 on success, 0 on error.
*/
int
dk3bezier_bb(
dk3_bb_t *bb,
double x0,
double y0,
double xp,
double yp,
double xm,
double ym,
double x1,
double y1,
double ra,
int *ec
);
#ifdef __cplusplus
}
#endif
%% module
#include "dk3all.h"
#include "dk3bb.h"
#include "dk3bezcu.h"
$!trace-include
double
dk3bezier_value(
double x0, double xp, double xm, double x1, double t, int *ec
)
{
int mec = 0;
double back;
$? "+ dk3bezier_value %lg %lg %lg %lg %lg", x0, xp, xm, x1, t
back = dk3ma_d_add_ok(
x0,
dk3ma_d_mul_ok(
t,
dk3ma_d_add_ok(
dk3ma_d_sub_ok(
dk3ma_d_mul_ok(3.0, xp, &mec),
dk3ma_d_mul_ok(3.0, x0, &mec),
&mec
),
dk3ma_d_mul_ok(
t,
dk3ma_d_add_ok(
dk3ma_d_add_ok(
dk3ma_d_sub_ok(
dk3ma_d_mul_ok(3.0, xm, &mec),
dk3ma_d_mul_ok(6.0, xp, &mec),
&mec
),
dk3ma_d_mul_ok(3.0, x0, &mec),
&mec
),
dk3ma_d_mul_ok(
t,
dk3ma_d_add_ok(
dk3ma_d_sub_ok(
dk3ma_d_mul_ok(3.0, xp, &mec),
dk3ma_d_mul_ok(3.0, xm, &mec),
&mec
),
dk3ma_d_sub_ok(x1, x0, &mec),
&mec
),
&mec
),
&mec
),
&mec
),
&mec
),
&mec
),
&mec
); $? ". mec = %d", mec
if(mec) {
if(ec) { *ec = mec; }
}
$? "- dk3bezier_value %lg", back
return back;
}
/** Apply one t value to a bounding box.
@param bb Bounding box to modify.
@param x0 Start value.
@param xp Control value for start.
@param xm Control value for end.
@param x1 End value.
@param ra Point radius (half line width).
@param tv The t value.
@param isy Flag: Y direction.
@param ec Pointer to error code variable, may be NULL.
@return 1 on success, 0 on error.
*/
static
int
dk3bezier_t_dimension(
dk3_bb_t *bb,
double x0,
double xp,
double xm,
double x1,
double ra,
double tv,
int isy,
int *ec
)
{
double val;
int back = 1;
int mec = 0;
$? "+ dk3bezier_t_dimension %lg %lg %lg %lg y=%d", x0, xp, xm, x1, isy
if(tv > 0.0) {
if(tv < 1.0) {
val = dk3bezier_value(x0, xp, xm, x1, tv, &mec); $? ". mec = %d", mec
if(isy) {
if(!dk3bb_add_y_width(bb, val, ra)) { back = 0; }
} else {
if(!dk3bb_add_x_width(bb, val, ra)) { back = 0; }
}
}
}
if(mec) { $? "! mec"
back = 0;
if(ec) { *ec = mec; }
} $? "- dk3bezier_t_dimension %d", back
return back;
}
#if VERSION_BEFORE_20121218
/** Apply one dimension to a bounding box.
@param bb Bounding box to modify.
@param x0 Start value.
@param xp Control value for start.
@param xm Control value for end.
@param x1 End value.
@param ra Point radius (half line width).
@param isy Flag: Y direction.
@param ec Pointer to error code variable, may be NULL.
@return 1 on success, 0 on error.
*/
static
int
dk3bezier_bb_dimension(
dk3_bb_t *bb,
double x0,
double xp,
double xm,
double x1,
double ra,
int isy,
int *ec
)
{
double n;
double z1;
double z2;
double t;
int back = 1;
int mec = 0;
$? "+ dk3bezier_bb_dimension %lg %lg %lg %lg y=%d", x0, xp, xm, x1, isy
n = dk3ma_d_add_ok(
dk3ma_d_sub_ok(x1, x0, &mec),
dk3ma_d_mul_ok(3.0, dk3ma_d_sub_ok(xp, xm, &mec), &mec),
&mec
); $? ". mec = %d", mec
z1 = dk3ma_d_sub_ok(
dk3ma_d_sub_ok(dk3ma_d_mul_ok(2.0, xp, &mec), xm, &mec),
x0,
&mec
); $? ". mec = %d", mec
z2 = dk3ma_d_add_ok(
dk3ma_d_sub_ok(
xm,
dk3ma_d_mul_ok(2.0, xp, &mec),
&mec
),
x0,
&mec
); $? ". mec = %d", mec
z2 = dk3ma_d_mul_ok(z2, z2, &mec);
z2 = dk3ma_d_sub_ok(
z2,
dk3ma_d_mul_ok(
dk3ma_d_sub_ok(xp, x0, &mec),
n,
&mec
),
&mec
); $? ". mec = %d", mec
if(z2 >= 0.0) {
z2 = sqrt(z2); $? ". z1 = %lg z2 = %lg", z1, z2
t = dk3ma_d_div_ok(
dk3ma_d_add_ok(z1, z2, &mec),
n,
&mec
); $? ". mec = %d", mec
if(!dk3bezier_t_dimension(bb, x0, xp, xm, x1, ra, t, isy, &mec)) {
back = 0;
} $? ". mec = %d", mec
t = dk3ma_d_div_ok(
dk3ma_d_sub_ok(z1, z2, &mec),
n,
&mec
); $? ". mec = %d", mec
if(!dk3bezier_t_dimension(bb, x0, xp, xm, x1, ra, t, isy, &mec)) {
back = 0;
} $? ". mec = %d", mec
}
if(mec) { $? "! math error"
back = 0;
if(ec) { *ec = mec; }
} $? "- dk3bezier_bb_dimension %d", back
return back;
}
#else
/** Apply one dimension to a bounding box.
@param bb Bounding box to modify.
@param x0 Start value.
@param xp Control value for start.
@param xm Control value for end.
@param x1 End value.
@param ra Point radius (half line width).
@param isy Flag: Y direction.
@param ec Pointer to error code variable, may be NULL.
@return 1 on success, 0 on error.
*/
static
int
dk3bezier_bb_dimension(
dk3_bb_t *bb,
double x0,
double xp,
double xm,
double x1,
double ra,
int isy,
int *ec
)
{
double n;
double z1;
double z2;
double t;
int back = 1;
int mec = 0;
int testmec;
$? "+ dk3bezier_bb_dimension %lg %lg %lg %lg y=%d", x0, xp, xm, x1, isy
n = dk3ma_d_add_ok(
dk3ma_d_sub_ok(x1, x0, &mec),
dk3ma_d_mul_ok(3.0, dk3ma_d_sub_ok(xp, xm, &mec), &mec),
&mec
); $? ". mec = %d", mec
z1 = dk3ma_d_sub_ok(
dk3ma_d_sub_ok(dk3ma_d_mul_ok(2.0, xp, &mec), xm, &mec),
x0,
&mec
); $? ". mec = %d", mec
z2 = dk3ma_d_add_ok(
dk3ma_d_sub_ok(
xm,
dk3ma_d_mul_ok(2.0, xp, &mec),
&mec
),
x0,
&mec
); $? ". mec = %d", mec
z2 = dk3ma_d_mul_ok(z2, z2, &mec);
z2 = dk3ma_d_sub_ok(
z2,
dk3ma_d_mul_ok(
dk3ma_d_sub_ok(xp, x0, &mec),
n,
&mec
),
&mec
); $? ". mec = %d", mec
if(z2 >= 0.0) {
z2 = sqrt(z2); $? ". z1 = %lg z2 = %lg", z1, z2
testmec = 0;
t = dk3ma_d_div_ok(
dk3ma_d_add_ok(z1, z2, &mec),
n,
&testmec
); $? ". mec = %d", mec
if(0 == testmec) {
if(!dk3bezier_t_dimension(bb, x0, xp, xm, x1, ra, t, isy, &mec)) {
back = 0;
} $? ". mec = %d", mec
}
testmec = 0;
t = dk3ma_d_div_ok(
dk3ma_d_sub_ok(z1, z2, &mec),
n,
&testmec
); $? ". mec = %d", mec
if(0 == testmec) {
if(!dk3bezier_t_dimension(bb, x0, xp, xm, x1, ra, t, isy, &mec)) {
back = 0;
} $? ". mec = %d", mec
}
}
if(mec) { $? "! math error"
back = 0;
if(ec) { *ec = mec; }
} $? "- dk3bezier_bb_dimension %d", back
return back;
}
#endif
int
dk3bezier_bb(
dk3_bb_t *bb,
double x0,
double y0,
double xp,
double yp,
double xm,
double ym,
double x1,
double y1,
double ra,
int *ec
)
{
int back = 0;
int mec = 0;
$? "+ dk3bezier_bb %lg %lg %lg %lg %lg %lg %lg %lg", x0, y0, xp, yp, xm, ym, x1, y1
if(bb) {
back = 1;
if(!dk3bb_point_width(bb, x0, y0, ra)) {
back = 0;
}
if(!dk3bb_point_width(bb, x1, y1, ra)) {
back = 0;
}
if(!dk3bezier_bb_dimension(bb, x0, xp, xm, x1, ra, 0, &mec)) {
back = 0;
}
if(!dk3bezier_bb_dimension(bb, y0, yp, ym, y1, ra, 1, &mec)) {
back = 0;
}
if(mec) {
back = 0;
if(ec) { *ec = mec; }
}
} else {
if(ec) { *ec = DK3_ERROR_INVALID_ARGS; }
} $? "- dk3bezier_bb %d", back
return back;
}
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