/* * 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 #include #include static const double RADPERDEG = M_PI/180.0; Transformer::Transformer() { identity_ = true; mat00 = mat11 = 1; mat01 = mat10 = mat20 = mat21 = 0; ref(); } Transformer::Transformer(const Transformer& t) { mat00 = t.mat00; mat01 = t.mat01; mat10 = t.mat10; mat11 = t.mat11; mat20 = t.mat20; mat21 = t.mat21; update(); ref(); } Transformer::Transformer( float a00, float a01, float a10, float a11, float a20, float a21 ) { mat00 = a00; mat01 = a01; mat10 = a10; mat11 = a11; mat20 = a20; mat21 = a21; update(); ref(); } Transformer::~Transformer() { } boolean Transformer::operator ==(const Transformer& t) const { if (identity_) { return t.identity_; } if (t.identity_) { return false; } return ( mat00 == t.mat00 && mat01 == t.mat01 && mat10 == t.mat10 && mat11 == t.mat11 && mat20 == t.mat20 && mat21 == t.mat21 ); } boolean Transformer::operator !=(const Transformer& t) const { if (identity_) { return !t.identity_; } if (t.identity_) { return true; } return ( mat00 != t.mat00 || mat01 != t.mat01 || mat10 != t.mat10 || mat11 != t.mat11 || mat20 != t.mat20 || mat21 != t.mat21 ); } Transformer& Transformer::operator =(const Transformer& t) { mat00 = t.mat00; mat01 = t.mat01; mat10 = t.mat10; mat11 = t.mat11; mat20 = t.mat20; mat21 = t.mat21; update(); return *this; } void Transformer::matrix( float& a00, float& a01, float& a10, float& a11, float& a20, float& a21 ) const { a00 = mat00; a01 = mat01; a10 = mat10; a11 = mat11; a20 = mat20; a21 = mat21; } void Transformer::update() { identity_ = ( mat00 == 1 && mat11 == 1 && mat01 == 0 && mat10 == 0 && mat20 == 0 && mat21 == 0 ); } void Transformer::translate(float dx, float dy) { mat20 += dx; mat21 += dy; update(); } void Transformer::scale(float sx, float sy) { mat00 *= sx; mat01 *= sy; mat10 *= sx; mat11 *= sy; mat20 *= sx; mat21 *= sy; update(); } void Transformer::skew(float sx, float sy) { mat01 += mat00*sy; mat10 += mat11*sx; update(); } void Transformer::rotate(float angle) { float tmp1, tmp2, m00, m01, m10, m11, m20, m21; angle *= RADPERDEG; tmp1 = cos(angle); tmp2 = sin(angle); m00 = mat00*tmp1; m01 = mat01*tmp2; m10 = mat10*tmp1; m11 = mat11*tmp2; m20 = mat20*tmp1; m21 = mat21*tmp2; mat01 = mat00*tmp2 + mat01*tmp1; mat11 = mat10*tmp2 + mat11*tmp1; mat21 = mat20*tmp2 + mat21*tmp1; mat00 = m00 - m01; mat10 = m10 - m11; mat20 = m20 - m21; update(); } void Transformer::premultiply(const Transformer& t) { float tmp1 = mat00; float tmp2 = mat10; mat00 = t.mat00*tmp1 + t.mat01*tmp2; mat10 = t.mat10*tmp1 + t.mat11*tmp2; mat20 += t.mat20*tmp1 + t.mat21*tmp2; tmp1 = mat01; tmp2 = mat11; mat01 = t.mat00*tmp1 + t.mat01*tmp2; mat11 = t.mat10*tmp1 + t.mat11*tmp2; mat21 += t.mat20*tmp1 + t.mat21*tmp2; update(); } void Transformer::postmultiply(const Transformer& t) { float tmp = mat00*t.mat01 + mat01*t.mat11; mat00 = mat00*t.mat00 + mat01*t.mat10; mat01 = tmp; tmp = mat10*t.mat01 + mat11*t.mat11; mat10 = mat10*t.mat00 + mat11*t.mat10; mat11 = tmp; tmp = mat20*t.mat01 + mat21*t.mat11; mat20 = mat20*t.mat00 + mat21*t.mat10; mat21 = tmp; mat20 += t.mat20; mat21 += t.mat21; update(); } void Transformer::invert() { float d = det(); float t00 = mat00; float t20 = mat20; mat20 = (mat10*mat21 - mat11*mat20)/d; mat21 = (mat01*t20 - mat00*mat21)/d; mat00 = mat11/d; mat11 = t00/d; mat10 = -mat10/d; mat01 = -mat01/d; update(); } void Transformer::transform(float& x, float& y) const { float tx = x; x = tx*mat00 + y*mat10 + mat20; y = tx*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; } void Transformer::inverse_transform(float& tx, float& ty) const { float d = det(); float a = (tx - mat20) / d; float b = (ty - mat21) / d; tx = a*mat11 - b*mat10; ty = b*mat00 - a*mat01; } void Transformer::inverse_transform( 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; }