exceed Posted June 20, 2022 Share Posted June 20, 2022 (edited) ; Equation Graph by autolisp - 2022.06.20 exceed ; command list : yx1, yx2, yx3, yx4, yx5, yx6, y2x2 (circle) ; not a complete routine just for fun ; https://www.cadtutor.net/forum/topic/75463-equation-graph-by-autolisp/ ; If it's for your homework, it's not a good choice to use it. ; Use a program that draws accurate graphs. matlab, etc. Excel is also good. (defun c:yx1 ( / a b startx endx steps deltax ptlist pt mspace tmp myobj ylist ) (princ "\n y = Ax + B ") (setq a (getreal "\n Input A = ")) (setq b (getreal "\n Input B = ")) (setq startx (getreal "\n Input Start X = ")) (setq endx (getreal "\n Input End X = ")) (setq steps 100) (cond ((<= startx endx) (setq x startx) ) ((> startx endx) (setq x endx) (setq endx startx) (setq startx x) ) ) (setq deltax (/ (- endx startx) steps)) (setq ylist '()) (setq ptlist '()) (repeat (+ steps 1) (setq y (+ (* a x) b)) (setq ylist (cons y ylist)) (setq pt (list x y 0.0)) (setq ptlist (cons pt ptlist)) (setq x (+ x deltax)) ) (setq ylist (vl-sort ylist '<)) (setq ymin (car ylist)) (setq ymax (last ylist)) (setq ptlist (reverse ptlist)) ; https://www.afralisp.net/archive/methods/list/addpolyline_method.htm (setq mspace (vla-get-modelspace (vla-get-activedocument (vlax-get-acad-object)))) (setq ptlist (apply 'append ptlist)) (if (= (rem (length ptlist) 3) 0) (progn (setq tmp (vlax-make-safearray vlax-vbDouble (cons 0 (- (length ptlist) 1)) ) ) (vlax-safearray-fill tmp ptlist) (setq myobj (vla-addPolyline mspace tmp)) ) (princ "\nerror: Polyline could not be created") ) (vlax-put-property myobj 'color 3) (ex:drawaxis startx endx ymin ymax steps) (princ) ) (defun c:yx2 ( / a b c startx endx steps deltax ptlist pt mspace tmp myobj ylist ) (princ "\n y = Ax^2 + Bx + C") (setq a (getreal "\n Input A = ")) (setq b (getreal "\n Input B = ")) (setq c (getreal "\n Input C = ")) (setq startx (getreal "\n Input Start X = ")) (setq endx (getreal "\n Input End X = ")) (setq steps 100) (cond ((<= startx endx) (setq x startx) ) ((> startx endx) (setq x endx) (setq endx startx) (setq startx x) ) ) (setq deltax (/ (- endx startx) steps)) (setq ylist '()) (setq ptlist '()) (repeat (+ steps 1) (setq y (+ (* a x x) (* b x) c)) (setq ylist (cons y ylist)) (setq pt (list x y 0.0)) (setq ptlist (cons pt ptlist)) (setq x (+ x deltax)) ) (setq ylist (vl-sort ylist '<)) (setq ymin (car ylist)) (setq ymax (last ylist)) (setq ptlist (reverse ptlist)) ; https://www.afralisp.net/archive/methods/list/addpolyline_method.htm (setq mspace (vla-get-modelspace (vla-get-activedocument (vlax-get-acad-object)))) (setq ptlist (apply 'append ptlist)) (if (= (rem (length ptlist) 3) 0) (progn (setq tmp (vlax-make-safearray vlax-vbDouble (cons 0 (- (length ptlist) 1)) ) ) (vlax-safearray-fill tmp ptlist) (setq myobj (vla-addPolyline mspace tmp)) ) (princ "\nerror: Polyline could not be created") ) (vlax-put-property myobj 'color 3) (ex:drawaxis startx endx ymin ymax steps) (princ) ) (defun c:yx3 ( / a b c d startx endx steps deltax ptlist pt mspace tmp myobj ylist ) (princ "\n y = Ax^3 + Bx^2 + Cx + D") (setq a (getreal "\n Input A = ")) (setq b (getreal "\n Input B = ")) (setq c (getreal "\n Input C = ")) (setq d (getreal "\n Input D = ")) (setq startx (getreal "\n Input Start X = ")) (setq endx (getreal "\n Input End X = ")) (setq steps 100) (cond ((<= startx endx) (setq x startx) ) ((> startx endx) (setq x endx) (setq endx startx) (setq startx x) ) ) (setq deltax (/ (- endx startx) steps)) (setq ylist '()) (setq ptlist '()) (repeat (+ steps 1) (setq y (+ (* a x x x) (* b x x) (* c x) d)) (setq ylist (cons y ylist)) (setq pt (list x y 0.0)) (setq ptlist (cons pt ptlist)) (setq x (+ x deltax)) ) (setq ylist (vl-sort ylist '<)) (setq ymin (car ylist)) (setq ymax (last ylist)) (setq ptlist (reverse ptlist)) ; https://www.afralisp.net/archive/methods/list/addpolyline_method.htm (setq mspace (vla-get-modelspace (vla-get-activedocument (vlax-get-acad-object)))) (setq ptlist (apply 'append ptlist)) (if (= (rem (length ptlist) 3) 0) (progn (setq tmp (vlax-make-safearray vlax-vbDouble (cons 0 (- (length ptlist) 1)) ) ) (vlax-safearray-fill tmp ptlist) (setq myobj (vla-addPolyline mspace tmp)) ) (princ "\nerror: Polyline could not be created") ) (vlax-put-property myobj 'color 3) (ex:drawaxis startx endx ymin ymax steps) (princ) ) (defun c:yx4 ( / a b c d e startx endx steps deltax ptlist pt mspace tmp myobj ylist ) (princ "\n y = Ax^4 + Bx^3 + Cx^2 + Dx + E ") (setq a (getreal "\n Input A = ")) (setq b (getreal "\n Input B = ")) (setq c (getreal "\n Input C = ")) (setq d (getreal "\n Input D = ")) (setq e (getreal "\n Input E = ")) (setq startx (getreal "\n Input Start X = ")) (setq endx (getreal "\n Input End X = ")) (setq steps 100) (cond ((<= startx endx) (setq x startx) ) ((> startx endx) (setq x endx) (setq endx startx) (setq startx x) ) ) (setq deltax (/ (- endx startx) steps)) (setq ylist '()) (setq ptlist '()) (repeat (+ steps 1) (setq y (+ (* a x x x x) (* b x x x) (* c x x) (* d x) e)) (setq ylist (cons y ylist)) (setq pt (list x y 0.0)) (setq ptlist (cons pt ptlist)) (setq x (+ x deltax)) ) (setq ylist (vl-sort ylist '<)) (setq ymin (car ylist)) (setq ymax (last ylist)) (setq ptlist (reverse ptlist)) ; https://www.afralisp.net/archive/methods/list/addpolyline_method.htm (setq mspace (vla-get-modelspace (vla-get-activedocument (vlax-get-acad-object)))) (setq ptlist (apply 'append ptlist)) (if (= (rem (length ptlist) 3) 0) (progn (setq tmp (vlax-make-safearray vlax-vbDouble (cons 0 (- (length ptlist) 1)) ) ) (vlax-safearray-fill tmp ptlist) (setq myobj (vla-addPolyline mspace tmp)) ) (princ "\nerror: Polyline could not be created") ) (vlax-put-property myobj 'color 3) (ex:drawaxis startx endx ymin ymax steps) (princ) ) (defun c:yx5 ( / a b c d e f startx endx steps deltax ptlist pt mspace tmp myobj ylist ) (princ "\n y = Ax^5 + Bx^4 + Cx^3 + Dx^2 + Ex + F ") (setq a (getreal "\n Input A = ")) (setq b (getreal "\n Input B = ")) (setq c (getreal "\n Input C = ")) (setq d (getreal "\n Input D = ")) (setq e (getreal "\n Input E = ")) (setq f (getreal "\n Input F = ")) (setq startx (getreal "\n Input Start X = ")) (setq endx (getreal "\n Input End X = ")) (setq steps 100) (cond ((<= startx endx) (setq x startx) ) ((> startx endx) (setq x endx) (setq endx startx) (setq startx x) ) ) (setq deltax (/ (- endx startx) steps)) (setq ylist '()) (setq ptlist '()) (repeat (+ steps 1) (setq y (+ (* a x x x x x) (* b x x x x) (* c x x x) (* d x x) (* e x) f)) (setq ylist (cons y ylist)) (setq pt (list x y 0.0)) (setq ptlist (cons pt ptlist)) (setq x (+ x deltax)) ) (setq ylist (vl-sort ylist '<)) (setq ymin (car ylist)) (setq ymax (last ylist)) (setq ptlist (reverse ptlist)) ; https://www.afralisp.net/archive/methods/list/addpolyline_method.htm (setq mspace (vla-get-modelspace (vla-get-activedocument (vlax-get-acad-object)))) (setq ptlist (apply 'append ptlist)) (if (= (rem (length ptlist) 3) 0) (progn (setq tmp (vlax-make-safearray vlax-vbDouble (cons 0 (- (length ptlist) 1)) ) ) (vlax-safearray-fill tmp ptlist) (setq myobj (vla-addPolyline mspace tmp)) ) (princ "\nerror: Polyline could not be created") ) (vlax-put-property myobj 'color 3) (ex:drawaxis startx endx ymin ymax steps) (princ) ) (defun c:yx6 ( / a b c d e f g startx endx steps deltax ptlist pt mspace tmp myobj ylist ) (princ "\n y = Ax^6 + Bx^5 + Cx^4 + Dx^3 + Ex^2 + Fx + G ") (setq a (getreal "\n Input A = ")) (setq b (getreal "\n Input B = ")) (setq c (getreal "\n Input C = ")) (setq d (getreal "\n Input D = ")) (setq e (getreal "\n Input E = ")) (setq f (getreal "\n Input F = ")) (setq g (getreal "\n Input G = ")) (setq startx (getreal "\n Input Start X = ")) (setq endx (getreal "\n Input End X = ")) (setq steps 100) (cond ((<= startx endx) (setq x startx) ) ((> startx endx) (setq x endx) (setq endx startx) (setq startx x) ) ) (setq deltax (/ (- endx startx) steps)) (setq ylist '()) (setq ptlist '()) (repeat (+ steps 1) (setq y (+ (* a x x x x x x) (* b x x x x x) (* c x x x x) (* d x x x) (* e x x) (* f x) g)) (setq ylist (cons y ylist)) (setq pt (list x y 0.0)) (setq ptlist (cons pt ptlist)) (setq x (+ x deltax)) ) (setq ylist (vl-sort ylist '<)) (setq ymin (car ylist)) (setq ymax (last ylist)) (setq ptlist (reverse ptlist)) ; https://www.afralisp.net/archive/methods/list/addpolyline_method.htm (setq mspace (vla-get-modelspace (vla-get-activedocument (vlax-get-acad-object)))) (setq ptlist (apply 'append ptlist)) (if (= (rem (length ptlist) 3) 0) (progn (setq tmp (vlax-make-safearray vlax-vbDouble (cons 0 (- (length ptlist) 1)) ) ) (vlax-safearray-fill tmp ptlist) (setq myobj (vla-addPolyline mspace tmp)) ) (princ "\nerror: Polyline could not be created") ) (vlax-put-property myobj 'color 3) (ex:drawaxis startx endx ymin ymax steps) (princ) ) (defun c:y2x2 ( / a b c startx endx steps deltax ptlist pt mspace tmp myobj xlist ylist xmin xmax ymin ymax ) (princ "\n (x - A)^2 + (y - B)^2 = C^2") (setq a (getreal "\n Input A = ")) (setq b (getreal "\n Input B = ")) (setq c (getreal "\n Input C = ")) (setq startx (- a c)) (setq endx (+ a c)) (setq steps 100) (cond ((<= startx endx) (setq x startx) ) ((> startx endx) (setq x endx) (setq endx startx) (setq startx x) ) ) (setq deltax (/ (- endx startx) steps)) (setq xlist '()) (setq ylist '()) (setq ptlist '()) (repeat (+ steps 1) (setq y (+ (sqrt (abs (- (+ (- (* c c) (* x x)) (* 2 a x)) (* a a)))) b)) (setq xlist (cons x xlist)) (setq ylist (cons y ylist)) (setq pt (list x y 0.0)) (setq ptlist (cons pt ptlist)) (setq x (+ x deltax)) ) (setq ptlist (reverse ptlist)) (setq x startx) (repeat (+ steps 1) (setq y (+ (sqrt (abs (- (+ (- (* c c) (* x x)) (* 2 a x)) (* a a)))) b)) (setq y (- (* 2 b) y)) (setq xlist (cons x xlist)) (setq ylist (cons y ylist)) (setq pt (list x y 0.0)) (setq ptlist (cons pt ptlist)) (setq x (+ x deltax)) ) (setq xlist (vl-sort xlist '<)) (setq ylist (vl-sort ylist '<)) (setq xmin (car xlist)) (setq xmax (last xlist)) (setq ymin (car ylist)) (setq ymax (last ylist)) ; https://www.afralisp.net/archive/methods/list/addpolyline_method.htm (setq mspace (vla-get-modelspace (vla-get-activedocument (vlax-get-acad-object)))) (setq ptlist (apply 'append ptlist)) (if (= (rem (length ptlist) 3) 0) (progn (setq tmp (vlax-make-safearray vlax-vbDouble (cons 0 (- (length ptlist) 1)) ) ) (vlax-safearray-fill tmp ptlist) (setq myobj (vla-addPolyline mspace tmp)) ) (princ "\nerror: Polyline could not be created") ) (vlax-put-property myobj 'color 3) (ex:drawaxis xmin xmax ymin ymax steps) (princ) ) (defun ex:drawaxis ( xmin xmax ymin ymax steps / deltax xaxisline yaxisline xaxisarrow1 xaxisarrow2 xaxisarrow3 xaxisarrow4 yaxisarrow1 yaxisarrow2 yaxisarrow3 yaxisarrow4 xaxistext1 xaxistext2 yaxistext1 yaxistext2 ) (setq deltax (/ (- xmax xmin) steps)) (setq xaxisline (vla-addline mspace (vlax-3d-point (list (- xmin (* (/ steps 10) deltax)) 0 0))(vlax-3d-point (list (+ xmax (* (/ steps 10) deltax)) 0 0)))) (setq yaxisline (vla-addline mspace (vlax-3d-point (list 0 (- ymin (* (/ steps 10) deltax)) 0))(vlax-3d-point (list 0 (+ ymax (* (/ steps 10) deltax)) 0)))) (setq xaxisarrow1 (vla-addline mspace (vlax-3d-point (list (- xmin (* (/ steps 20) deltax)) (- 0 (* (/ steps 100) deltax)) 0))(vlax-3d-point (list (- xmin (* (/ steps 10) deltax)) 0 0)))) (setq xaxisarrow2 (vla-addline mspace (vlax-3d-point (list (- xmin (* (/ steps 20) deltax)) (+ 0 (* (/ steps 100) deltax)) 0))(vlax-3d-point (list (- xmin (* (/ steps 10) deltax)) 0 0)))) (setq xaxisarrow3 (vla-addline mspace (vlax-3d-point (list (+ xmax (* (/ steps 20) deltax)) (- 0 (* (/ steps 100) deltax)) 0))(vlax-3d-point (list (+ xmax (* (/ steps 10) deltax)) 0 0)))) (setq xaxisarrow4 (vla-addline mspace (vlax-3d-point (list (+ xmax (* (/ steps 20) deltax)) (+ 0 (* (/ steps 100) deltax)) 0))(vlax-3d-point (list (+ xmax (* (/ steps 10) deltax)) 0 0)))) (setq yaxisarrow1 (vla-addline mspace (vlax-3d-point (list (- 0 (* (/ steps 100) deltax)) (- ymin (* (/ steps 20) deltax)) 0))(vlax-3d-point (list 0 (- ymin (* (/ steps 10) deltax)) 0)))) (setq yaxisarrow2 (vla-addline mspace (vlax-3d-point (list (+ 0 (* (/ steps 100) deltax)) (- ymin (* (/ steps 20) deltax)) 0))(vlax-3d-point (list 0 (- ymin (* (/ steps 10) deltax)) 0)))) (setq yaxisarrow3 (vla-addline mspace (vlax-3d-point (list (- 0 (* (/ steps 100) deltax)) (+ ymax (* (/ steps 20) deltax)) 0))(vlax-3d-point (list 0 (+ ymax (* (/ steps 10) deltax)) 0)))) (setq yaxisarrow4 (vla-addline mspace (vlax-3d-point (list (+ 0 (* (/ steps 100) deltax)) (+ ymax (* (/ steps 20) deltax)) 0))(vlax-3d-point (list 0 (+ ymax (* (/ steps 10) deltax)) 0)))) (setq xaxistext1 (vla-AddText mspace "+x" (vlax-3d-point (list (+ xmax (* (/ steps 8) deltax)) 0 0)) (* (/ steps 20) deltax))) (vlax-put-property xaxistext1 'alignment 9) (setq xaxistext2 (vla-AddText mspace "-x" (vlax-3d-point (list (- xmin (* (/ steps 8) deltax)) 0 0)) (* (/ steps 20) deltax))) (vlax-put-property xaxistext2 'alignment 11) (setq yaxistext1 (vla-AddText mspace "-y" (vlax-3d-point (list 0 (- ymin (* (/ steps 8) deltax)) 0)) (* (/ steps 20) deltax))) (vlax-put-property yaxistext1 'alignment 7) (setq yaxistext2 (vla-AddText mspace "+y" (vlax-3d-point (list 0 (+ ymax (* (/ steps 8) deltax)) 0)) (* (/ steps 20) deltax))) (vlax-put-property yaxistext2 'alignment 13) (setq bar (* (/ steps 10) deltax)) (setq barlen (/ bar 6)) (setq index2 0) (repeat 11 (setq xbar (vla-addline mspace (vlax-3d-point (list (+ xmin (* bar index2)) barlen 0))(vlax-3d-point (list (+ xmin (* bar index2)) (* barlen -1) 0)))) (setq xbartext (vla-AddText mspace (rtos (+ xmin (* bar index2)) 2 0) (vlax-3d-point (list (+ (+ xmin (* bar index2)) (/ barlen 2)) (- 0 (/ barlen 2)) 0)) (/ (* (/ steps 20) deltax) 2))) (vlax-put-property xbartext 'alignment 6) (setq index2 (+ index2 1)) ) (setq index2 0) (repeat 11 (setq ybar (vla-addline mspace (vlax-3d-point (list barlen (+ ymin (* bar index2)) 0))(vlax-3d-point (list (* barlen -1) (+ ymin (* bar index2)) 0)))) (setq ybartext (vla-AddText mspace (rtos (+ ymin (* bar index2)) 2 0) (vlax-3d-point (list (- 0 (/ barlen 2)) (+ (+ ymin (* bar index2)) (/ barlen 4)) 0)) (/ (* (/ steps 20) deltax) 2))) (vlax-put-property ybartext 'alignment 14) (setq index2 (+ index2 1)) ) ) command list yx1 - linear equation y = Ax + B yx2 - quadratic equation y = Ax^2 + Bx + C yx3 - cubic equation y = Ax^3 + Bx^2 + Cx + D yx4 - biquadratic equation y = Ax^4 + Bx^3 + Cx^2 + Dx + E yx5 - quintic equation y = Ax^5 + Bx^4 + Cx^3 + Dx^2 + Ex + F yx6 - 6th y = Ax^6 + Bx^5 + Cx^4 + Dx^3 + Ex^2 + Fx + G y2x2 - circle equation (x-a)^2 + (y-b)^2 = c^2 This is a simple routine that just connects points with polylines and no curves. This is not an exact graph. Edited June 20, 2022 by exceed 4 Quote Link to comment Share on other sites More sharing options...
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