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#include "fitz.h"
void fz_invert3x3(float *dst, float *m)
{
float det;
int i;
#define M3(m,i,j) (m)[3*i+j]
#define D2(a,b,c,d) (a * d - b * c)
#define D3(a1,a2,a3,b1,b2,b3,c1,c2,c3) \
(a1 * D2(b2,b3,c2,c3)) - \
(b1 * D2(a2,a3,c2,c3)) + \
(c1 * D2(a2,a3,b2,b3))
det = D3(M3(m,0,0), M3(m,1,0), M3(m,2,0),
M3(m,0,1), M3(m,1,1), M3(m,2,1),
M3(m,0,2), M3(m,1,2), M3(m,2,2));
if (det == 0)
det = 1.0;
det = 1.0 / det;
M3(dst,0,0) = M3(m,1,1) * M3(m,2,2) - M3(m,1,2) * M3(m,2,1);
M3(dst,0,1) = -M3(m,0,1) * M3(m,2,2) + M3(m,0,2) * M3(m,2,1);
M3(dst,0,2) = M3(m,0,1) * M3(m,1,2) - M3(m,0,2) * M3(m,1,1);
M3(dst,1,0) = -M3(m,1,0) * M3(m,2,2) + M3(m,1,2) * M3(m,2,0);
M3(dst,1,1) = M3(m,0,0) * M3(m,2,2) - M3(m,0,2) * M3(m,2,0);
M3(dst,1,2) = -M3(m,0,0) * M3(m,1,2) + M3(m,0,2) * M3(m,1,0);
M3(dst,2,0) = M3(m,1,0) * M3(m,2,1) - M3(m,1,1) * M3(m,2,0);
M3(dst,2,1) = -M3(m,0,0) * M3(m,2,1) + M3(m,0,1) * M3(m,2,0);
M3(dst,2,2) = M3(m,0,0) * M3(m,1,1) - M3(m,0,1) * M3(m,1,0);
for (i = 0; i < 9; i++)
dst[i] *= det;
}
fz_matrix
fz_concat(fz_matrix one, fz_matrix two)
{
fz_matrix dst;
dst.a = one.a * two.a + one.b * two.c;
dst.b = one.a * two.b + one.b * two.d;
dst.c = one.c * two.a + one.d * two.c;
dst.d = one.c * two.b + one.d * two.d;
dst.e = one.e * two.a + one.f * two.c + two.e;
dst.f = one.e * two.b + one.f * two.d + two.f;
return dst;
}
fz_matrix
fz_identity(void)
{
fz_matrix m;
m.a = 1; m.b = 0;
m.c = 0; m.d = 1;
m.e = 0; m.f = 0;
return m;
}
fz_matrix
fz_scale(float sx, float sy)
{
fz_matrix m;
m.a = sx; m.b = 0;
m.c = 0; m.d = sy;
m.e = 0; m.f = 0;
return m;
}
fz_matrix
fz_rotate(float theta)
{
fz_matrix m;
float s;
float c;
while (theta < 0.0f)
theta += 360.0f;
while (theta >= 360.0f)
theta -= 360.0f;
if (fabs(0.0f - theta) < FLT_EPSILON)
{
s = 0.0f;
c = 1.0f;
}
else if (fabs(90.0f - theta) < FLT_EPSILON)
{
s = 1.0f;
c = 0.0f;
}
else if (fabs(180.0f - theta) < FLT_EPSILON)
{
s = 0.0f;
c = -1.0f;
}
else if (fabs(270.0f - theta) < FLT_EPSILON)
{
s = -1.0f;
c = 0.0f;
}
else
{
s = sin(theta * M_PI / 180.0);
c = cos(theta * M_PI / 180.0);
}
m.a = c; m.b = s;
m.c = -s; m.d = c;
m.e = 0; m.f = 0;
return m;
}
fz_matrix
fz_translate(float tx, float ty)
{
fz_matrix m;
m.a = 1; m.b = 0;
m.c = 0; m.d = 1;
m.e = tx; m.f = ty;
return m;
}
fz_matrix
fz_invertmatrix(fz_matrix src)
{
fz_matrix dst;
float rdet = 1.0 / (src.a * src.d - src.b * src.c);
dst.a = src.d * rdet;
dst.b = -src.b * rdet;
dst.c = -src.c * rdet;
dst.d = src.a * rdet;
dst.e = -src.e * dst.a - src.f * dst.c;
dst.f = -src.e * dst.b - src.f * dst.d;
return dst;
}
int
fz_isrectilinear(fz_matrix m)
{
return (fabs(m.b) < FLT_EPSILON && fabs(m.c) < FLT_EPSILON) ||
(fabs(m.a) < FLT_EPSILON && fabs(m.d) < FLT_EPSILON);
}
float
fz_matrixexpansion(fz_matrix m)
{
return sqrt(fabs(m.a * m.d - m.b * m.c));
}
fz_point
fz_transformpoint(fz_matrix m, fz_point p)
{
fz_point t;
t.x = p.x * m.a + p.y * m.c + m.e;
t.y = p.x * m.b + p.y * m.d + m.f;
return t;
}
fz_rect
fz_transformaabb(fz_matrix m, fz_rect r)
{
fz_point s, t, u, v;
if (fz_isinfiniterect(r))
return r;
s.x = r.x0; s.y = r.y0;
t.x = r.x0; t.y = r.y1;
u.x = r.x1; u.y = r.y1;
v.x = r.x1; v.y = r.y0;
s = fz_transformpoint(m, s);
t = fz_transformpoint(m, t);
u = fz_transformpoint(m, u);
v = fz_transformpoint(m, v);
r.x0 = MIN4(s.x, t.x, u.x, v.x);
r.y0 = MIN4(s.y, t.y, u.y, v.y);
r.x1 = MAX4(s.x, t.x, u.x, v.x);
r.y1 = MAX4(s.y, t.y, u.y, v.y);
return r;
}
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