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/*
* Copyright (c) 1987, 1988, 1989, 1990, 1991 Stanford University
* Copyright (c) 1991 Silicon Graphics, Inc.
*
* Permission to use, copy, modify, distribute, and sell this software and
* its documentation for any purpose is hereby granted without fee, provided
* that (i) the above copyright notices and this permission notice appear in
* all copies of the software and related documentation, and (ii) the names of
* Stanford and Silicon Graphics may not be used in any advertising or
* publicity relating to the software without the specific, prior written
* permission of Stanford and Silicon Graphics.
*
* THE SOFTWARE IS PROVIDED "AS-IS" AND WITHOUT WARRANTY OF ANY KIND,
* EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY
* WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
*
* IN NO EVENT SHALL STANFORD OR SILICON GRAPHICS BE LIABLE FOR
* ANY SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND,
* OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS,
* WHETHER OR NOT ADVISED OF THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF
* LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE
* OF THIS SOFTWARE.
*/
/*
* Implementation of transformation matrix operations.
*/
#include <InterViews/transformer.h>
#include <OS/math.h>
#include <math.h>
Transformer::Transformer(const Transformer* t) {
if (t == nil) {
identity_ = true;
mat00 = mat11 = 1;
mat01 = mat10 = mat20 = mat21 = 0;
} else {
mat00 = t->mat00; mat01 = t->mat01;
mat10 = t->mat10; mat11 = t->mat11;
mat20 = t->mat20; mat21 = t->mat21;
update();
}
ref();
}
void Transformer::Transform(IntCoord& x, IntCoord& y) const {
IntCoord tx = x;
x = Math::round(tx*mat00 + y*mat10 + mat20);
y = Math::round(tx*mat01 + y*mat11 + mat21);
}
void Transformer::InvTransform(IntCoord& tx, IntCoord& ty) const {
float d = det();
float a = (float(tx) - mat20) / d;
float b = (float(ty) - mat21) / d;
tx = Math::round(a*mat11 - b*mat10);
ty = Math::round(b*mat00 - a*mat01);
}
void Transformer::InvTransform(
IntCoord tx, IntCoord ty, IntCoord& x, IntCoord& y
) const {
float d = det();
float a = (float(tx) - mat20) / d;
float b = (float(ty) - mat21) / d;
x = Math::round(a*mat11 - b*mat10);
y = Math::round(b*mat00 - a*mat01);
}
void Transformer::InvTransform(float tx, float ty, float& x, float& y) const {
float d = det();
float a = (tx - mat20) / d;
float b = (ty - mat21) / d;
x = a*mat11 - b*mat10;
y = b*mat00 - a*mat01;
}
void Transformer::TransformList(IntCoord x[], IntCoord y[], int n) const {
register IntCoord* ox, * oy;
IntCoord* lim;
lim = &x[n];
for (ox = x, oy = y; ox < lim; ox++, oy++) {
Transform(*ox, *oy);
}
}
void Transformer::TransformList(
IntCoord x[], IntCoord y[], int n, IntCoord tx[], IntCoord ty[]
) const {
register IntCoord* ox, * oy, * nx, * ny;
IntCoord* lim;
lim = &x[n];
for (ox = x, oy = y, nx = tx, ny = ty; ox < lim; ox++, oy++, nx++, ny++) {
Transform(*ox, *oy, *nx, *ny);
}
}
void Transformer::InvTransformList(IntCoord tx[], IntCoord ty[], int n) const {
register IntCoord* ox, * oy;
IntCoord* lim;
float a, b, d = det();
lim = &tx[n];
for (ox = tx, oy = ty; ox < lim; ox++, oy++) {
a = (float(*ox) - mat20) / d;
b = (float(*oy) - mat21) / d;
*ox = Math::round(a*mat11 - b*mat10);
*oy = Math::round(b*mat00 - a*mat01);
}
}
void Transformer::InvTransformList(
IntCoord tx[], IntCoord ty[], int n, IntCoord x[], IntCoord y[]
) const {
register IntCoord* ox, * oy, * nx, * ny;
IntCoord* lim;
float a, b, d = det();
lim = &tx[n];
for (ox = tx, oy = ty, nx = x, ny = y; ox < lim; ox++, oy++, nx++, ny++) {
a = (float(*ox) - mat20) / d;
b = (float(*oy) - mat21) / d;
*nx = Math::round(a*mat11 - b*mat10);
*ny = Math::round(b*mat00 - a*mat01);
}
}
void Transformer::TransformRect(
IntCoord& x0, IntCoord& y0, IntCoord& x1, IntCoord& y1
) const {
float tx00, ty00, tx10, ty10, tx11, ty11, tx01, ty01;
Transform(float(x0), float(y0), tx00, ty00);
Transform(float(x1), float(y0), tx10, ty10);
Transform(float(x1), float(y1), tx11, ty11);
Transform(float(x0), float(y1), tx01, ty01);
x0 = Math::round(Math::min(tx00, tx01, tx10, tx11));
y0 = Math::round(Math::min(ty00, ty01, ty10, ty11));
x1 = Math::round(Math::max(tx00, tx01, tx10, tx11));
y1 = Math::round(Math::max(ty00, ty01, ty10, ty11));
}
void Transformer::TransformRect(
float& x0, float& y0, float& x1, float& y1
) const {
float tx00, ty00, tx10, ty10, tx11, ty11, tx01, ty01;
Transform(x0, y0, tx00, ty00);
Transform(x1, y0, tx10, ty10);
Transform(x1, y1, tx11, ty11);
Transform(x0, y1, tx01, ty01);
x0 = Math::min(tx00, tx01, tx10, tx11);
y0 = Math::min(ty00, ty01, ty10, ty11);
x1 = Math::max(tx00, tx01, tx10, tx11);
y1 = Math::max(ty00, ty01, ty10, ty11);
}
void Transformer::InvTransformRect(
IntCoord& x0, IntCoord& y0, IntCoord& x1, IntCoord& y1
) const {
float tx00, ty00, tx10, ty10, tx11, ty11, tx01, ty01;
InvTransform(float(x0), float(y0), tx00, ty00);
InvTransform(float(x1), float(y0), tx10, ty10);
InvTransform(float(x1), float(y1), tx11, ty11);
InvTransform(float(x0), float(y1), tx01, ty01);
x0 = Math::round(Math::min(tx00, tx01, tx10, tx11));
y0 = Math::round(Math::min(ty00, ty01, ty10, ty11));
x1 = Math::round(Math::max(tx00, tx01, tx10, tx11));
y1 = Math::round(Math::max(ty00, ty01, ty10, ty11));
}
void Transformer::InvTransformRect(
float& x0, float& y0, float& x1, float& y1
) const {
float tx00, ty00, tx10, ty10, tx11, ty11, tx01, ty01;
InvTransform(x0, y0, tx00, ty00);
InvTransform(x1, y0, tx10, ty10);
InvTransform(x1, y1, tx11, ty11);
InvTransform(x0, y1, tx01, ty01);
x0 = Math::min(tx00, tx01, tx10, tx11);
y0 = Math::min(ty00, ty01, ty10, ty11);
x1 = Math::max(tx00, tx01, tx10, tx11);
y1 = Math::max(ty00, ty01, ty10, ty11);
}
void Transformer::Transform(
IntCoord x, IntCoord y, IntCoord& tx, IntCoord& ty
) const {
tx = Math::round(x*mat00 + y*mat10 + mat20);
ty = Math::round(x*mat01 + y*mat11 + mat21);
}
void Transformer::Transform(float x, float y, float& tx, float& ty) const {
tx = x*mat00 + y*mat10 + mat20;
ty = x*mat01 + y*mat11 + mat21;
}
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