github.com/unidoc/unipdf/v3@v3.55.0/internal/transform/transform.go

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package transform ;import (_g "fmt";_f "github.com/unidoc/unipdf/v3/common";_a "math";);func IdentityMatrix ()Matrix {return NewMatrix (1,0,0,1,0,0)};const _gd =1e-10;func NewMatrixFromTransforms (xScale ,yScale ,theta ,tx ,ty float64 )Matrix {return IdentityMatrix ().Scale (xScale ,yScale ).Rotate (theta ).Translate (tx ,ty );
};func ScaleMatrix (x ,y float64 )Matrix {return NewMatrix (x ,0,0,y ,0,0)};func (_da Matrix )Translate (tx ,ty float64 )Matrix {return _da .Mult (TranslationMatrix (tx ,ty ))};type Matrix [9]float64 ;func (_ea Matrix )Round (precision float64 )Matrix {for _d :=range _ea {_ea [_d ]=_a .Round (_ea [_d ]/precision )*precision ;
};return _ea ;};func NewMatrix (a ,b ,c ,d ,tx ,ty float64 )Matrix {_bf :=Matrix {a ,b ,0,c ,d ,0,tx ,ty ,1};_bf .clampRange ();return _bf ;};type Point struct{X float64 ;Y float64 ;};func (_gbe Matrix )Angle ()float64 {_fa :=_a .Atan2 (-_gbe [1],_gbe [0]);
if _fa < 0.0{_fa +=2*_a .Pi ;};return _fa /_a .Pi *180.0;};func (_ag *Matrix )Set (a ,b ,c ,d ,tx ,ty float64 ){_ag [0],_ag [1]=a ,b ;_ag [3],_ag [4]=c ,d ;_ag [6],_ag [7]=tx ,ty ;_ag .clampRange ();};func (_cd Point )Interpolate (b Point ,t float64 )Point {return Point {X :(1-t )*_cd .X +t *b .X ,Y :(1-t )*_cd .Y +t *b .Y };
};func (_dg Point )Displace (delta Point )Point {return Point {_dg .X +delta .X ,_dg .Y +delta .Y }};func (_caa Matrix )Translation ()(float64 ,float64 ){return _caa [6],_caa [7]};func (_ga Matrix )ScalingFactorY ()float64 {return _a .Hypot (_ga [3],_ga [4])};
func (_fbeg *Point )Transform (a ,b ,c ,d ,tx ,ty float64 ){_cb :=NewMatrix (a ,b ,c ,d ,tx ,ty );_fbeg .transformByMatrix (_cb );};func (_ee Matrix )Singular ()bool {return _a .Abs (_ee [0]*_ee [4]-_ee [1]*_ee [3])< _gd };func (_bg Matrix )ScalingFactorX ()float64 {return _a .Hypot (_bg [0],_bg [1])};
func (_fc *Matrix )clampRange (){for _gfb ,_cge :=range _fc {if _cge > _dab {_f .Log .Debug ("\u0043L\u0041M\u0050\u003a\u0020\u0025\u0067\u0020\u002d\u003e\u0020\u0025\u0067",_cge ,_dab );_fc [_gfb ]=_dab ;}else if _cge < -_dab {_f .Log .Debug ("\u0043L\u0041M\u0050\u003a\u0020\u0025\u0067\u0020\u002d\u003e\u0020\u0025\u0067",_cge ,-_dab );
_fc [_gfb ]=-_dab ;};};};const _dab =1e9;func (_fbe *Matrix )Clone ()Matrix {return NewMatrix (_fbe [0],_fbe [1],_fbe [3],_fbe [4],_fbe [6],_fbe [7]);};func (_daf *Matrix )Shear (x ,y float64 ){_daf .Concat (ShearMatrix (x ,y ))};func (_ca Matrix )Mult (b Matrix )Matrix {_ca .Concat (b );
return _ca };func (_bff *Point )transformByMatrix (_fgd Matrix ){_bff .X ,_bff .Y =_fgd .Transform (_bff .X ,_bff .Y )};func (_dcb Matrix )Rotate (theta float64 )Matrix {return _dcb .Mult (RotationMatrix (theta ))};func (_c *Matrix )Concat (b Matrix ){*_c =Matrix {b [0]*_c [0]+b [1]*_c [3],b [0]*_c [1]+b [1]*_c [4],0,b [3]*_c [0]+b [4]*_c [3],b [3]*_c [1]+b [4]*_c [4],0,b [6]*_c [0]+b [7]*_c [3]+_c [6],b [6]*_c [1]+b [7]*_c [4]+_c [7],1};
_c .clampRange ();};const _be =1e-6;func (_fg Matrix )Transform (x ,y float64 )(float64 ,float64 ){_cg :=x *_fg [0]+y *_fg [3]+_fg [6];_bb :=x *_fg [1]+y *_fg [4]+_fg [7];return _cg ,_bb ;};func (_ef Matrix )Scale (xScale ,yScale float64 )Matrix {return _ef .Mult (ScaleMatrix (xScale ,yScale ))};
func (_fga Point )Distance (b Point )float64 {return _a .Hypot (_fga .X -b .X ,_fga .Y -b .Y )};func (_fb Matrix )String ()string {_fd ,_dc ,_eb ,_eaa ,_gb ,_eab :=_fb [0],_fb [1],_fb [3],_fb [4],_fb [6],_fb [7];return _g .Sprintf ("\u005b\u00257\u002e\u0034\u0066\u002c%\u0037\u002e4\u0066\u002c\u0025\u0037\u002e\u0034\u0066\u002c%\u0037\u002e\u0034\u0066\u003a\u0025\u0037\u002e\u0034\u0066\u002c\u00257\u002e\u0034\u0066\u005d",_fd ,_dc ,_eb ,_eaa ,_gb ,_eab );
};func (_ce Point )Rotate (theta float64 )Point {_fdb :=_a .Hypot (_ce .X ,_ce .Y );_af :=_a .Atan2 (_ce .Y ,_ce .X );_aaf ,_eaac :=_a .Sincos (_af +theta /180.0*_a .Pi );return Point {_fdb *_eaac ,_fdb *_aaf };};const _egc =1.0e-6;func (_b Matrix )Identity ()bool {return _b [0]==1&&_b [1]==0&&_b [2]==0&&_b [3]==0&&_b [4]==1&&_b [5]==0&&_b [6]==0&&_b [7]==0&&_b [8]==1;
};func (_bgf Matrix )Inverse ()(Matrix ,bool ){_ac ,_ead :=_bgf [0],_bgf [1];_cc ,_aa :=_bgf [3],_bgf [4];_dd ,_ebf :=_bgf [6],_bgf [7];_ae :=_ac *_aa -_ead *_cc ;if _a .Abs (_ae )< _egc {return Matrix {},false ;};_gf ,_daa :=_aa /_ae ,-_ead /_ae ;_ebe ,_ccg :=-_cc /_ae ,_ac /_ae ;
_fdc :=-(_gf *_dd +_ebe *_ebf );_gc :=-(_daa *_dd +_ccg *_ebf );return NewMatrix (_gf ,_daa ,_ebe ,_ccg ,_fdc ,_gc ),true ;};func ShearMatrix (x ,y float64 )Matrix {return NewMatrix (1,y ,x ,1,0,0)};func RotationMatrix (angle float64 )Matrix {_gg :=_a .Cos (angle );
_db :=_a .Sin (angle );return NewMatrix (_gg ,_db ,-_db ,_gg ,0,0);};func (_ggb Matrix )Unrealistic ()bool {_ba ,_bac ,_cgc ,_gcg :=_a .Abs (_ggb [0]),_a .Abs (_ggb [1]),_a .Abs (_ggb [3]),_a .Abs (_ggb [4]);_eg :=_ba > _be &&_gcg > _be ;_bbb :=_bac > _be &&_cgc > _be ;
return !(_eg ||_bbb );};func (_fca Point )String ()string {return _g .Sprintf ("(\u0025\u002e\u0032\u0066\u002c\u0025\u002e\u0032\u0066\u0029",_fca .X ,_fca .Y );};func NewPoint (x ,y float64 )Point {return Point {X :x ,Y :y }};func TranslationMatrix (tx ,ty float64 )Matrix {return NewMatrix (1,0,0,1,tx ,ty )};
func (_eag *Point )Set (x ,y float64 ){_eag .X ,_eag .Y =x ,y };