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authormaxim-yurchuk <maxim-yurchuk@yandex-team.com>2025-02-11 13:26:52 +0300
committermaxim-yurchuk <maxim-yurchuk@yandex-team.com>2025-02-11 13:57:59 +0300
commitf895bba65827952ed934b2b46f9a45e30a191fd2 (patch)
tree03260c906d9ec41cdc03e2a496b15d407459cec0 /contrib/python/matplotlib/py2/extern/agg24-svn/include/agg_trans_perspective.h
parent5f7060466f7b9707818c2091e1a25c14f33c3474 (diff)
downloadydb-f895bba65827952ed934b2b46f9a45e30a191fd2.tar.gz
Remove deps on pandas
<https://github.com/ydb-platform/ydb/pull/14418> <https://github.com/ydb-platform/ydb/pull/14419> \-- аналогичные правки в gh Хочу залить в обход синка, чтобы посмотреть удалится ли pandas в нашей gh репе через piglet commit_hash:abca127aa37d4dbb94b07e1e18cdb8eb5b711860
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diff --git a/contrib/python/matplotlib/py2/extern/agg24-svn/include/agg_trans_perspective.h b/contrib/python/matplotlib/py2/extern/agg24-svn/include/agg_trans_perspective.h
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--- a/contrib/python/matplotlib/py2/extern/agg24-svn/include/agg_trans_perspective.h
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-//----------------------------------------------------------------------------
-// Anti-Grain Geometry - Version 2.4
-// Copyright (C) 2002-2005 Maxim Shemanarev (http://www.antigrain.com)
-//
-// Permission to copy, use, modify, sell and distribute this software
-// is granted provided this copyright notice appears in all copies.
-// This software is provided "as is" without express or implied
-// warranty, and with no claim as to its suitability for any purpose.
-//
-//----------------------------------------------------------------------------
-// Contact: mcseem@antigrain.com
-// mcseemagg@yahoo.com
-// http://www.antigrain.com
-//----------------------------------------------------------------------------
-//
-// Perspective 2D transformations
-//
-//----------------------------------------------------------------------------
-#ifndef AGG_TRANS_PERSPECTIVE_INCLUDED
-#define AGG_TRANS_PERSPECTIVE_INCLUDED
-
-#include "agg_trans_affine.h"
-
-namespace agg
-{
- //=======================================================trans_perspective
- struct trans_perspective
- {
- double sx, shy, w0, shx, sy, w1, tx, ty, w2;
-
- //------------------------------------------------------- Construction
- // Identity matrix
- trans_perspective() :
- sx (1), shy(0), w0(0),
- shx(0), sy (1), w1(0),
- tx (0), ty (0), w2(1) {}
-
- // Custom matrix
- trans_perspective(double v0, double v1, double v2,
- double v3, double v4, double v5,
- double v6, double v7, double v8) :
- sx (v0), shy(v1), w0(v2),
- shx(v3), sy (v4), w1(v5),
- tx (v6), ty (v7), w2(v8) {}
-
- // Custom matrix from m[9]
- explicit trans_perspective(const double* m) :
- sx (m[0]), shy(m[1]), w0(m[2]),
- shx(m[3]), sy (m[4]), w1(m[5]),
- tx (m[6]), ty (m[7]), w2(m[8]) {}
-
- // From affine
- explicit trans_perspective(const trans_affine& a) :
- sx (a.sx ), shy(a.shy), w0(0),
- shx(a.shx), sy (a.sy ), w1(0),
- tx (a.tx ), ty (a.ty ), w2(1) {}
-
- // Rectangle to quadrilateral
- trans_perspective(double x1, double y1, double x2, double y2,
- const double* quad);
-
- // Quadrilateral to rectangle
- trans_perspective(const double* quad,
- double x1, double y1, double x2, double y2);
-
- // Arbitrary quadrilateral transformations
- trans_perspective(const double* src, const double* dst);
-
- //-------------------------------------- Quadrilateral transformations
- // The arguments are double[8] that are mapped to quadrilaterals:
- // x1,y1, x2,y2, x3,y3, x4,y4
- bool quad_to_quad(const double* qs, const double* qd);
-
- bool rect_to_quad(double x1, double y1,
- double x2, double y2,
- const double* q);
-
- bool quad_to_rect(const double* q,
- double x1, double y1,
- double x2, double y2);
-
- // Map square (0,0,1,1) to the quadrilateral and vice versa
- bool square_to_quad(const double* q);
- bool quad_to_square(const double* q);
-
-
- //--------------------------------------------------------- Operations
- // Reset - load an identity matrix
- const trans_perspective& reset();
-
- // Invert matrix. Returns false in degenerate case
- bool invert();
-
- // Direct transformations operations
- const trans_perspective& translate(double x, double y);
- const trans_perspective& rotate(double a);
- const trans_perspective& scale(double s);
- const trans_perspective& scale(double x, double y);
-
- // Multiply the matrix by another one
- const trans_perspective& multiply(const trans_perspective& m);
-
- // Multiply "m" by "this" and assign the result to "this"
- const trans_perspective& premultiply(const trans_perspective& m);
-
- // Multiply matrix to inverse of another one
- const trans_perspective& multiply_inv(const trans_perspective& m);
-
- // Multiply inverse of "m" by "this" and assign the result to "this"
- const trans_perspective& premultiply_inv(const trans_perspective& m);
-
- // Multiply the matrix by another one
- const trans_perspective& multiply(const trans_affine& m);
-
- // Multiply "m" by "this" and assign the result to "this"
- const trans_perspective& premultiply(const trans_affine& m);
-
- // Multiply the matrix by inverse of another one
- const trans_perspective& multiply_inv(const trans_affine& m);
-
- // Multiply inverse of "m" by "this" and assign the result to "this"
- const trans_perspective& premultiply_inv(const trans_affine& m);
-
- //--------------------------------------------------------- Load/Store
- void store_to(double* m) const;
- const trans_perspective& load_from(const double* m);
-
- //---------------------------------------------------------- Operators
- // Multiply the matrix by another one
- const trans_perspective& operator *= (const trans_perspective& m)
- {
- return multiply(m);
- }
- const trans_perspective& operator *= (const trans_affine& m)
- {
- return multiply(m);
- }
-
- // Multiply the matrix by inverse of another one
- const trans_perspective& operator /= (const trans_perspective& m)
- {
- return multiply_inv(m);
- }
- const trans_perspective& operator /= (const trans_affine& m)
- {
- return multiply_inv(m);
- }
-
- // Multiply the matrix by another one and return
- // the result in a separete matrix.
- trans_perspective operator * (const trans_perspective& m) const
- {
- return trans_perspective(*this).multiply(m);
- }
- trans_perspective operator * (const trans_affine& m) const
- {
- return trans_perspective(*this).multiply(m);
- }
-
- // Multiply the matrix by inverse of another one
- // and return the result in a separete matrix.
- trans_perspective operator / (const trans_perspective& m) const
- {
- return trans_perspective(*this).multiply_inv(m);
- }
- trans_perspective operator / (const trans_affine& m) const
- {
- return trans_perspective(*this).multiply_inv(m);
- }
-
- // Calculate and return the inverse matrix
- trans_perspective operator ~ () const
- {
- trans_perspective ret = *this;
- ret.invert();
- return ret;
- }
-
- // Equal operator with default epsilon
- bool operator == (const trans_perspective& m) const
- {
- return is_equal(m, affine_epsilon);
- }
-
- // Not Equal operator with default epsilon
- bool operator != (const trans_perspective& m) const
- {
- return !is_equal(m, affine_epsilon);
- }
-
- //---------------------------------------------------- Transformations
- // Direct transformation of x and y
- void transform(double* x, double* y) const;
-
- // Direct transformation of x and y, affine part only
- void transform_affine(double* x, double* y) const;
-
- // Direct transformation of x and y, 2x2 matrix only, no translation
- void transform_2x2(double* x, double* y) const;
-
- // Inverse transformation of x and y. It works slow because
- // it explicitly inverts the matrix on every call. For massive
- // operations it's better to invert() the matrix and then use
- // direct transformations.
- void inverse_transform(double* x, double* y) const;
-
-
- //---------------------------------------------------------- Auxiliary
- const trans_perspective& from_affine(const trans_affine& a);
- double determinant() const;
- double determinant_reciprocal() const;
-
- bool is_valid(double epsilon = affine_epsilon) const;
- bool is_identity(double epsilon = affine_epsilon) const;
- bool is_equal(const trans_perspective& m,
- double epsilon = affine_epsilon) const;
-
- // Determine the major affine parameters. Use with caution
- // considering possible degenerate cases.
- double scale() const;
- double rotation() const;
- void translation(double* dx, double* dy) const;
- void scaling(double* x, double* y) const;
- void scaling_abs(double* x, double* y) const;
-
-
-
- //--------------------------------------------------------------------
- class iterator_x
- {
- double den;
- double den_step;
- double nom_x;
- double nom_x_step;
- double nom_y;
- double nom_y_step;
-
- public:
- double x;
- double y;
-
- iterator_x() {}
- iterator_x(double px, double py, double step, const trans_perspective& m) :
- den(px * m.w0 + py * m.w1 + m.w2),
- den_step(m.w0 * step),
- nom_x(px * m.sx + py * m.shx + m.tx),
- nom_x_step(step * m.sx),
- nom_y(px * m.shy + py * m.sy + m.ty),
- nom_y_step(step * m.shy),
- x(nom_x / den),
- y(nom_y / den)
- {}
-
- void operator ++ ()
- {
- den += den_step;
- nom_x += nom_x_step;
- nom_y += nom_y_step;
- double d = 1.0 / den;
- x = nom_x * d;
- y = nom_y * d;
- }
- };
-
- //--------------------------------------------------------------------
- iterator_x begin(double x, double y, double step) const
- {
- return iterator_x(x, y, step, *this);
- }
- };
-
-
-
-
-
-
-
-
-
-
-
-
-
-
- //------------------------------------------------------------------------
- inline bool trans_perspective::square_to_quad(const double* q)
- {
- double dx = q[0] - q[2] + q[4] - q[6];
- double dy = q[1] - q[3] + q[5] - q[7];
- if(dx == 0.0 && dy == 0.0)
- {
- // Affine case (parallelogram)
- //---------------
- sx = q[2] - q[0];
- shy = q[3] - q[1];
- w0 = 0.0;
- shx = q[4] - q[2];
- sy = q[5] - q[3];
- w1 = 0.0;
- tx = q[0];
- ty = q[1];
- w2 = 1.0;
- }
- else
- {
- double dx1 = q[2] - q[4];
- double dy1 = q[3] - q[5];
- double dx2 = q[6] - q[4];
- double dy2 = q[7] - q[5];
- double den = dx1 * dy2 - dx2 * dy1;
- if(den == 0.0)
- {
- // Singular case
- //---------------
- sx = shy = w0 = shx = sy = w1 = tx = ty = w2 = 0.0;
- return false;
- }
- // General case
- //---------------
- double u = (dx * dy2 - dy * dx2) / den;
- double v = (dy * dx1 - dx * dy1) / den;
- sx = q[2] - q[0] + u * q[2];
- shy = q[3] - q[1] + u * q[3];
- w0 = u;
- shx = q[6] - q[0] + v * q[6];
- sy = q[7] - q[1] + v * q[7];
- w1 = v;
- tx = q[0];
- ty = q[1];
- w2 = 1.0;
- }
- return true;
- }
-
- //------------------------------------------------------------------------
- inline bool trans_perspective::invert()
- {
- double d0 = sy * w2 - w1 * ty;
- double d1 = w0 * ty - shy * w2;
- double d2 = shy * w1 - w0 * sy;
- double d = sx * d0 + shx * d1 + tx * d2;
- if(d == 0.0)
- {
- sx = shy = w0 = shx = sy = w1 = tx = ty = w2 = 0.0;
- return false;
- }
- d = 1.0 / d;
- trans_perspective a = *this;
- sx = d * d0;
- shy = d * d1;
- w0 = d * d2;
- shx = d * (a.w1 *a.tx - a.shx*a.w2);
- sy = d * (a.sx *a.w2 - a.w0 *a.tx);
- w1 = d * (a.w0 *a.shx - a.sx *a.w1);
- tx = d * (a.shx*a.ty - a.sy *a.tx);
- ty = d * (a.shy*a.tx - a.sx *a.ty);
- w2 = d * (a.sx *a.sy - a.shy*a.shx);
- return true;
- }
-
- //------------------------------------------------------------------------
- inline bool trans_perspective::quad_to_square(const double* q)
- {
- if(!square_to_quad(q)) return false;
- invert();
- return true;
- }
-
- //------------------------------------------------------------------------
- inline bool trans_perspective::quad_to_quad(const double* qs,
- const double* qd)
- {
- trans_perspective p;
- if(! quad_to_square(qs)) return false;
- if(!p.square_to_quad(qd)) return false;
- multiply(p);
- return true;
- }
-
- //------------------------------------------------------------------------
- inline bool trans_perspective::rect_to_quad(double x1, double y1,
- double x2, double y2,
- const double* q)
- {
- double r[8];
- r[0] = r[6] = x1;
- r[2] = r[4] = x2;
- r[1] = r[3] = y1;
- r[5] = r[7] = y2;
- return quad_to_quad(r, q);
- }
-
- //------------------------------------------------------------------------
- inline bool trans_perspective::quad_to_rect(const double* q,
- double x1, double y1,
- double x2, double y2)
- {
- double r[8];
- r[0] = r[6] = x1;
- r[2] = r[4] = x2;
- r[1] = r[3] = y1;
- r[5] = r[7] = y2;
- return quad_to_quad(q, r);
- }
-
- //------------------------------------------------------------------------
- inline trans_perspective::trans_perspective(double x1, double y1,
- double x2, double y2,
- const double* quad)
- {
- rect_to_quad(x1, y1, x2, y2, quad);
- }
-
- //------------------------------------------------------------------------
- inline trans_perspective::trans_perspective(const double* quad,
- double x1, double y1,
- double x2, double y2)
- {
- quad_to_rect(quad, x1, y1, x2, y2);
- }
-
- //------------------------------------------------------------------------
- inline trans_perspective::trans_perspective(const double* src,
- const double* dst)
- {
- quad_to_quad(src, dst);
- }
-
- //------------------------------------------------------------------------
- inline const trans_perspective& trans_perspective::reset()
- {
- sx = 1; shy = 0; w0 = 0;
- shx = 0; sy = 1; w1 = 0;
- tx = 0; ty = 0; w2 = 1;
- return *this;
- }
-
- //------------------------------------------------------------------------
- inline const trans_perspective&
- trans_perspective::multiply(const trans_perspective& a)
- {
- trans_perspective b = *this;
- sx = a.sx *b.sx + a.shx*b.shy + a.tx*b.w0;
- shx = a.sx *b.shx + a.shx*b.sy + a.tx*b.w1;
- tx = a.sx *b.tx + a.shx*b.ty + a.tx*b.w2;
- shy = a.shy*b.sx + a.sy *b.shy + a.ty*b.w0;
- sy = a.shy*b.shx + a.sy *b.sy + a.ty*b.w1;
- ty = a.shy*b.tx + a.sy *b.ty + a.ty*b.w2;
- w0 = a.w0 *b.sx + a.w1 *b.shy + a.w2*b.w0;
- w1 = a.w0 *b.shx + a.w1 *b.sy + a.w2*b.w1;
- w2 = a.w0 *b.tx + a.w1 *b.ty + a.w2*b.w2;
- return *this;
- }
-
- //------------------------------------------------------------------------
- inline const trans_perspective&
- trans_perspective::multiply(const trans_affine& a)
- {
- trans_perspective b = *this;
- sx = a.sx *b.sx + a.shx*b.shy + a.tx*b.w0;
- shx = a.sx *b.shx + a.shx*b.sy + a.tx*b.w1;
- tx = a.sx *b.tx + a.shx*b.ty + a.tx*b.w2;
- shy = a.shy*b.sx + a.sy *b.shy + a.ty*b.w0;
- sy = a.shy*b.shx + a.sy *b.sy + a.ty*b.w1;
- ty = a.shy*b.tx + a.sy *b.ty + a.ty*b.w2;
- return *this;
- }
-
- //------------------------------------------------------------------------
- inline const trans_perspective&
- trans_perspective::premultiply(const trans_perspective& b)
- {
- trans_perspective a = *this;
- sx = a.sx *b.sx + a.shx*b.shy + a.tx*b.w0;
- shx = a.sx *b.shx + a.shx*b.sy + a.tx*b.w1;
- tx = a.sx *b.tx + a.shx*b.ty + a.tx*b.w2;
- shy = a.shy*b.sx + a.sy *b.shy + a.ty*b.w0;
- sy = a.shy*b.shx + a.sy *b.sy + a.ty*b.w1;
- ty = a.shy*b.tx + a.sy *b.ty + a.ty*b.w2;
- w0 = a.w0 *b.sx + a.w1 *b.shy + a.w2*b.w0;
- w1 = a.w0 *b.shx + a.w1 *b.sy + a.w2*b.w1;
- w2 = a.w0 *b.tx + a.w1 *b.ty + a.w2*b.w2;
- return *this;
- }
-
- //------------------------------------------------------------------------
- inline const trans_perspective&
- trans_perspective::premultiply(const trans_affine& b)
- {
- trans_perspective a = *this;
- sx = a.sx *b.sx + a.shx*b.shy;
- shx = a.sx *b.shx + a.shx*b.sy;
- tx = a.sx *b.tx + a.shx*b.ty + a.tx;
- shy = a.shy*b.sx + a.sy *b.shy;
- sy = a.shy*b.shx + a.sy *b.sy;
- ty = a.shy*b.tx + a.sy *b.ty + a.ty;
- w0 = a.w0 *b.sx + a.w1 *b.shy;
- w1 = a.w0 *b.shx + a.w1 *b.sy;
- w2 = a.w0 *b.tx + a.w1 *b.ty + a.w2;
- return *this;
- }
-
- //------------------------------------------------------------------------
- const trans_perspective&
- trans_perspective::multiply_inv(const trans_perspective& m)
- {
- trans_perspective t = m;
- t.invert();
- return multiply(t);
- }
-
- //------------------------------------------------------------------------
- const trans_perspective&
- trans_perspective::multiply_inv(const trans_affine& m)
- {
- trans_affine t = m;
- t.invert();
- return multiply(t);
- }
-
- //------------------------------------------------------------------------
- const trans_perspective&
- trans_perspective::premultiply_inv(const trans_perspective& m)
- {
- trans_perspective t = m;
- t.invert();
- return *this = t.multiply(*this);
- }
-
- //------------------------------------------------------------------------
- const trans_perspective&
- trans_perspective::premultiply_inv(const trans_affine& m)
- {
- trans_perspective t(m);
- t.invert();
- return *this = t.multiply(*this);
- }
-
- //------------------------------------------------------------------------
- inline const trans_perspective&
- trans_perspective::translate(double x, double y)
- {
- tx += x;
- ty += y;
- return *this;
- }
-
- //------------------------------------------------------------------------
- inline const trans_perspective& trans_perspective::rotate(double a)
- {
- multiply(trans_affine_rotation(a));
- return *this;
- }
-
- //------------------------------------------------------------------------
- inline const trans_perspective& trans_perspective::scale(double s)
- {
- multiply(trans_affine_scaling(s));
- return *this;
- }
-
- //------------------------------------------------------------------------
- inline const trans_perspective& trans_perspective::scale(double x, double y)
- {
- multiply(trans_affine_scaling(x, y));
- return *this;
- }
-
- //------------------------------------------------------------------------
- inline void trans_perspective::transform(double* px, double* py) const
- {
- double x = *px;
- double y = *py;
- double m = 1.0 / (x*w0 + y*w1 + w2);
- *px = m * (x*sx + y*shx + tx);
- *py = m * (x*shy + y*sy + ty);
- }
-
- //------------------------------------------------------------------------
- inline void trans_perspective::transform_affine(double* x, double* y) const
- {
- double tmp = *x;
- *x = tmp * sx + *y * shx + tx;
- *y = tmp * shy + *y * sy + ty;
- }
-
- //------------------------------------------------------------------------
- inline void trans_perspective::transform_2x2(double* x, double* y) const
- {
- double tmp = *x;
- *x = tmp * sx + *y * shx;
- *y = tmp * shy + *y * sy;
- }
-
- //------------------------------------------------------------------------
- inline void trans_perspective::inverse_transform(double* x, double* y) const
- {
- trans_perspective t(*this);
- if(t.invert()) t.transform(x, y);
- }
-
- //------------------------------------------------------------------------
- inline void trans_perspective::store_to(double* m) const
- {
- *m++ = sx; *m++ = shy; *m++ = w0;
- *m++ = shx; *m++ = sy; *m++ = w1;
- *m++ = tx; *m++ = ty; *m++ = w2;
- }
-
- //------------------------------------------------------------------------
- inline const trans_perspective& trans_perspective::load_from(const double* m)
- {
- sx = *m++; shy = *m++; w0 = *m++;
- shx = *m++; sy = *m++; w1 = *m++;
- tx = *m++; ty = *m++; w2 = *m++;
- return *this;
- }
-
- //------------------------------------------------------------------------
- inline const trans_perspective&
- trans_perspective::from_affine(const trans_affine& a)
- {
- sx = a.sx; shy = a.shy; w0 = 0;
- shx = a.shx; sy = a.sy; w1 = 0;
- tx = a.tx; ty = a.ty; w2 = 1;
- return *this;
- }
-
- //------------------------------------------------------------------------
- inline double trans_perspective::determinant() const
- {
- return sx * (sy * w2 - ty * w1) +
- shx * (ty * w0 - shy * w2) +
- tx * (shy * w1 - sy * w0);
- }
-
- //------------------------------------------------------------------------
- inline double trans_perspective::determinant_reciprocal() const
- {
- return 1.0 / determinant();
- }
-
- //------------------------------------------------------------------------
- inline bool trans_perspective::is_valid(double epsilon) const
- {
- return fabs(sx) > epsilon && fabs(sy) > epsilon && fabs(w2) > epsilon;
- }
-
- //------------------------------------------------------------------------
- inline bool trans_perspective::is_identity(double epsilon) const
- {
- return is_equal_eps(sx, 1.0, epsilon) &&
- is_equal_eps(shy, 0.0, epsilon) &&
- is_equal_eps(w0, 0.0, epsilon) &&
- is_equal_eps(shx, 0.0, epsilon) &&
- is_equal_eps(sy, 1.0, epsilon) &&
- is_equal_eps(w1, 0.0, epsilon) &&
- is_equal_eps(tx, 0.0, epsilon) &&
- is_equal_eps(ty, 0.0, epsilon) &&
- is_equal_eps(w2, 1.0, epsilon);
- }
-
- //------------------------------------------------------------------------
- inline bool trans_perspective::is_equal(const trans_perspective& m,
- double epsilon) const
- {
- return is_equal_eps(sx, m.sx, epsilon) &&
- is_equal_eps(shy, m.shy, epsilon) &&
- is_equal_eps(w0, m.w0, epsilon) &&
- is_equal_eps(shx, m.shx, epsilon) &&
- is_equal_eps(sy, m.sy, epsilon) &&
- is_equal_eps(w1, m.w1, epsilon) &&
- is_equal_eps(tx, m.tx, epsilon) &&
- is_equal_eps(ty, m.ty, epsilon) &&
- is_equal_eps(w2, m.w2, epsilon);
- }
-
- //------------------------------------------------------------------------
- inline double trans_perspective::scale() const
- {
- double x = 0.707106781 * sx + 0.707106781 * shx;
- double y = 0.707106781 * shy + 0.707106781 * sy;
- return sqrt(x*x + y*y);
- }
-
- //------------------------------------------------------------------------
- inline double trans_perspective::rotation() const
- {
- double x1 = 0.0;
- double y1 = 0.0;
- double x2 = 1.0;
- double y2 = 0.0;
- transform(&x1, &y1);
- transform(&x2, &y2);
- return atan2(y2-y1, x2-x1);
- }
-
- //------------------------------------------------------------------------
- void trans_perspective::translation(double* dx, double* dy) const
- {
- *dx = tx;
- *dy = ty;
- }
-
- //------------------------------------------------------------------------
- void trans_perspective::scaling(double* x, double* y) const
- {
- double x1 = 0.0;
- double y1 = 0.0;
- double x2 = 1.0;
- double y2 = 1.0;
- trans_perspective t(*this);
- t *= trans_affine_rotation(-rotation());
- t.transform(&x1, &y1);
- t.transform(&x2, &y2);
- *x = x2 - x1;
- *y = y2 - y1;
- }
-
- //------------------------------------------------------------------------
- void trans_perspective::scaling_abs(double* x, double* y) const
- {
- *x = sqrt(sx * sx + shx * shx);
- *y = sqrt(shy * shy + sy * sy);
- }
-
-
-}
-
-#endif
-