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-rw-r--r--fitz/base_matrix.c151
1 files changed, 151 insertions, 0 deletions
diff --git a/fitz/base_matrix.c b/fitz/base_matrix.c
new file mode 100644
index 00000000..7d7097c4
--- /dev/null
+++ b/fitz/base_matrix.c
@@ -0,0 +1,151 @@
+#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 = sin(theta * M_PI / 180.0);
+ float 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.min.x; s.y = r.min.y;
+ t.x = r.min.x; t.y = r.max.y;
+ u.x = r.max.x; u.y = r.max.y;
+ v.x = r.max.x; v.y = r.min.y;
+ s = fz_transformpoint(m, s);
+ t = fz_transformpoint(m, t);
+ u = fz_transformpoint(m, u);
+ v = fz_transformpoint(m, v);
+ r.min.x = MIN4(s.x, t.x, u.x, v.x);
+ r.min.y = MIN4(s.y, t.y, u.y, v.y);
+ r.max.x = MAX4(s.x, t.x, u.x, v.x);
+ r.max.y = MAX4(s.y, t.y, u.y, v.y);
+ return r;
+}
+