mp2i-vms.fr
120 lines
3.7 KiB
OCaml
120 lines
3.7 KiB
OCaml
open Graphics ;;
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Random.self_init () ;;
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type operation =
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Val of int |
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Sum of operation * operation |
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Diff of operation * operation |
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Prod of operation * operation |
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Exp of operation * int ;;
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let rec calculate = function
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| Val k -> k
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| Exp (op, k) -> Math.pw (calculate op) k
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| Sum (f, g) -> (calculate f) + (calculate g)
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| Diff (f, g) -> (calculate f) - (calculate g)
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| Prod (f, g) -> (calculate f) * (calculate g) ;;
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let generate_random_calc ?plus_w:(pw=10) ?minus_w:(mw=8) ?prod_w:(uw=2) ?exp_w:(ew=0) (length : int) (inf : int) (sup : int) =
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let sum = pw + mw + uw + ew in
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let rec aux = function
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| 0 | 1 ->
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Val (inf + Random.int (sup - inf))
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| k ->
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let r = Random.int sum in
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if r < pw then begin
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if Random.int 2 = 0 then
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Sum(aux 0, aux (k-1))
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else
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Sum(aux (k-1), aux 0)
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end
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else if r < pw+mw then begin
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if Random.int 2 = 0 then
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Diff(aux 0, aux (k-1))
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else
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Diff(aux (k-1), aux 0)
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end
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else if r < pw+mw+uw then begin
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if Random.int 2 = 0 then
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Prod(aux 0, aux (k-1))
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else
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Prod(aux (k-1), aux 0)
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end
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else begin
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Exp(aux (k-1), 2 + Random.int 2)
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end
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in
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aux length ;;
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let draw_bracket_open ?retval:(rv=Drawing.fodder) (x : int) (y : int) (size : int) =
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moveto (x + size/4) (y+5*size/4) ;
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lineto (x) (y+size/2) ;
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lineto (x) (y-size/2) ;
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lineto (x + size/4) (y-5*size/4) ;
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rv := x + size/4 +6 ;;
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let draw_bracket_close ?retval:(rv=Drawing.fodder) (x : int) (y : int) (size : int) =
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moveto (x) (y+5*size/4) ;
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lineto (x + size/4) (y+size/2) ;
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lineto (x + size/4) (y-size/2) ;
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lineto (x) (y-5*size/4) ;
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rv := x + size/4 +6 ;;
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let draw_sign ?retval:(rv=Drawing.fodder) (x : int) (y : int) (len : int) = function
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| '+' ->
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draw_poly_line [|(x, y); (x + len, y)|] ;
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draw_poly_line [|(x+len/2, y + len/2); (x+len/2, y - len/2)|] ;
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| '-' ->
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draw_poly_line [|(x, y); (x + len, y)|] ;
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| 'x' ->
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Drawing.draw_letter x y 'x' len ;
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| _ -> failwith "incorrect\n" ;;
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let require_bracket = function
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| Val _ -> false
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| _ -> true ;;
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let print_calc (f : operation) (x0 : int) (y0 : int) (size : int) =
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set_line_width 3 ;
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set_color black ;
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let x = ref x0 in
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let rec aux = function
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| Val k ->
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Drawing.draw_integer_alignedleft !x y0 k size ~retval:x ;
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(*Printf.printf "%d --> \n" !x ;*)
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| Exp (f, k) -> ()
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| Sum (f, g) ->
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if require_bracket f then draw_bracket_open !x y0 size ~retval:x ;
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aux f ;
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if require_bracket f then draw_bracket_close !x y0 size ~retval:x ;
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draw_sign !x y0 size '+' ~retval:x ;
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x := !x + size*10/7 ;
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if require_bracket g then draw_bracket_open !x y0 size ~retval:x ;
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aux g ;
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if require_bracket g then draw_bracket_close !x y0 size ~retval:x ;
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| Diff (f, g) ->
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if require_bracket f then draw_bracket_open !x y0 size ~retval:x ;
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aux f ;
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if require_bracket f then draw_bracket_close !x y0 size ~retval:x ;
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draw_sign !x y0 size '-' ~retval:x ;
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x := !x + size*10/7 ;
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if require_bracket g then draw_bracket_open !x y0 size ~retval:x ;
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aux g ;
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if require_bracket g then draw_bracket_close !x y0 size ~retval:x ;
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| Prod (f, g) ->
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if require_bracket f then draw_bracket_open !x y0 size ~retval:x ;
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aux f ;
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if require_bracket f then draw_bracket_close !x y0 size ~retval:x ;
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draw_sign !x y0 (size/2) 'x' ~retval:x ;
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x := !x + size*10/7 ;
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if require_bracket g then draw_bracket_open !x y0 size ~retval:x ;
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aux g ;
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if require_bracket g then draw_bracket_close !x y0 size ~retval:x ;
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in
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aux f ;; |