l jICUdZddlmZgdZddlmZmZddlZddl m Z ddl Tddl m Z dd lmZmZmZdd lmZdd lmZdd lmZdd lmZiZded<Gddee ZGddeZGddee ZdS)zMobjects representing numbers.) annotations) DecimalNumberIntegerVariable)AnySelfN)config)*)ConvertToOpenGL)MathTexSingleStringMathTexTex)Text)VMobject) ValueTracker) Vector3DLikezdict[str, SingleStringMathTex]string_to_mob_mapceZdZdZddedddddddeeddfd5fd Zed6d!Z e j d7d$Z d8d%Z d9d(Z d:d;d,Z dd0Zd6d1Zd?d@d4ZxZS)AraAn mobject representing a decimal number. Parameters ---------- number The numeric value to be displayed. It can later be modified using :meth:`.set_value`. num_decimal_places The number of decimal places after the decimal separator. Values are automatically rounded. mob_class The class for rendering digits and units, by default :class:`.MathTex`. include_sign Set to ``True`` to include a sign for positive numbers and zero. group_with_commas When ``True`` thousands groups are separated by commas for readability. digit_buff_per_font_unit Additional spacing between digits. Scales with font size. show_ellipsis When a number has been truncated by rounding, indicate with an ellipsis (``...``). unit A unit string which can be placed to the right of the numerical values. unit_buff_per_font_unit An additional spacing between the numerical values and the unit. A value of ``unit_buff_per_font_unit=0.003`` gives a decent spacing. Scales with font size. include_background_rectangle Adds a background rectangle to increase contrast on busy scenes. edge_to_fix Assuring right- or left-alignment of the full object. font_size Size of the font. Examples -------- .. manim:: MovingSquareWithUpdaters class MovingSquareWithUpdaters(Scene): def construct(self): decimal = DecimalNumber( 0, show_ellipsis=True, num_decimal_places=3, include_sign=True, unit=r"\text{M-Units}", unit_buff_per_font_unit=0.003 ) square = Square().to_edge(UP) decimal.add_updater(lambda d: d.next_to(square, RIGHT)) decimal.add_updater(lambda d: d.set_value(square.get_center()[1])) self.add(square, decimal) self.play( square.animate.to_edge(DOWN), rate_func=there_and_back, run_time=5, ) self.wait() rFTgMbP?Ng?numberfloatnum_decimal_placesint mob_classtype[SingleStringMathTex] include_signboolgroup_with_commasdigit_buff_per_font_unit show_ellipsisunit str | Noneunit_buff_per_font_unitinclude_background_rectangle edge_to_fixr font_size stroke_width fill_opacitykwargsrc tjdi||| d||_||_||_||_||_||_||_||_ | |_ | |_ | |_ | |_ ||_||_|j||||||| | | | | |d |||dS)N)r(r') rrrrr r!r#r$r%r&r'r()super__init__rrrrrrr r!r#r$r% _font_sizer(copyinitial_configupdate_set_submobjects_from_number init_colors)selfrrrrrrr r!r#r$r%r&r'r(r) __class__s U/home/agentuser/manim-venv/lib/python3.11/site-packages/manim/mobject/text/numbers.pyr-zDecimalNumber.__init__Ss$ XX6X <XXXXX "4("!2(@%* '>$,H)&#($kkmm ""&8 ,%6,D!.+B0L*& , ,     " ))&111 returnc4|j|jz |jz}|S)z!The font size of the tex mobject.)heightinitial_heightr.)r4 return_values r6r&zDecimalNumber.font_sizes #kD,??$/Q r7font_valNonec|dkrtd|jdkr|||jz dSdS)Nrz!font_size must be greater than 0.) ValueErrorr:scaler&)r4r=s r6r&zDecimalNumber.font_sizesM q==@AA A [1__ JJx$.0 1 1 1 1 1 _r7c||_g|_||}|jt |j||jr5||dt|j| |j |j zt|j u||j t|_||j|t |j|j z|j zt|t&t)|D]\}}|dkrut+||dzkr_||||dzt.||||dzjtzdz |dkr1||||jtzdz |j r:|j d r |j|t.|j|_|jr|dSdS) Nz\dots)color)buff aligned_edge) directionrDrE-r,^)r submobjects_get_num_stringaddmap_string_to_mobr r rCarrangerr.DOWNr! unit_signnext_toRIGHTr#move_toORIGIN enumeratelenalign_toUPshiftr: startswithr;r$add_background_rectangle)r4r num_stringics r6r2z*DecimalNumber._set_submobjects_from_numbers` ))&11 3t*J7799    HH##H.A#TT    .@    9 !00??   % % W+*:*:151BVz!""~-- STSUSUJr7string type[SingleStringMathTex] | Nonerc ||j}|tvr||fi|t|<t|}|j|_|SN)rrr/r.r&)r4rnrr)mobs r6rOzDecimalNumber._string_to_mobs^  I * * *(1 &(C(CF(C(C f %',,..  r7c fddD}|j|dd|jddd|drdnd|d rd ndd t|d d dg S)a Configuration is based first off instance attributes, but overwritten by any kew word argument. Relevant key words: - include_sign - group_with_commas - num_decimal_places - field_name (e.g. 0 or 0.real) c2i|]}|t|Sr+)getattr).0attrr4s r6 z0DecimalNumber._get_formatter..s5    '$%%   r7)rrr{ field_name:rrdrrI.rf})r1joingetrb)r4r)r s` r6rhzDecimalNumber._get_formatters         fww <,,n-5212:F/011    r7cd|d|dddgS)Nryz0.real)r{z0.imagT)r{rr_)rrhr4s r6rgz$DecimalNumber._get_complex_formatter sJww##x#88##xd#KK    r7rc|}|j}||j}|j}||||_|||jt|j|dD]\}}||tj tj kr|D]}d|j dd<||S)zSet the value of the :class:`~.DecimalNumber` to a new number. Parameters ---------- number The value that will overwrite the current number of the :class:`~.DecimalNumber`. F)strictrN) get_familyr&get_edge_centerr%rKr2rUzip match_styler renderer RendererTypeCAIROpointsr3) r4r old_family old_font_size move_to_pointold_submobjectssm1sm2rrs r6 set_valuezDecimalNumber.set_values__&&  ,,T-=>> * ))&111& ]D$4555D,oeLLL ! !HC OOC ?l0 0 0! " " !" 111   r7c|jSrq)rrs r6 get_valuezDecimalNumber.get_value7s {r7rHdelta_tcZ|||zdSrq)rr)r4rs r6increment_valuezDecimalNumber.increment_value:s) t~~'''122222r7)rrrrrrrrrrrrr rr!r"r#rr$rr%rr&rr'rr(rr)r)r8r)r=rr8r>)rrr8r>)rrar8rbrq)rnrbrror)rr8r)r)rr8rb)r8rb)rrr8r)rH)rrr8r>)__name__ __module__ __qualname____doc__r LEFTDEFAULT_FONT_SIZEr-propertyr&setterr2rLrOrhrgrrr __classcell__r5s@r6rrsp99z"#/6""&*/#)*-2$(,!4444444lX  2 2 2 2/,/,/,/,b     7;         B    ####J333333333r7r) metaclassc4eZdZdZ d dfd Zdfd ZxZS)ra^A class for displaying Integers. Examples -------- .. manim:: IntegerExample :save_last_frame: class IntegerExample(Scene): def construct(self): self.add(Integer(number=2.5).set_color(ORANGE).scale(2.5).set_x(-0.5).set_y(0.8)) self.add(Integer(number=3.14159, show_ellipsis=True).set_x(3).set_y(3.3).scale(3.14159)) self.add(Integer(number=42).set_x(2.5).set_y(-2.3).set_color_by_gradient(BLUE, TEAL).scale(1.7)) self.add(Integer(number=6.28).set_x(-1.5).set_y(-2).set_color(YELLOW).scale(1.4)) rrrrrr)rr8r>c @tjd||d|dS)N)rrr+)r,r-)r4rrr)r5s r6r-zInteger.__init__Os1 X;MXXQWXXXXXr7cttjtSrq)rrjrkr,r)r4r5s r6rzInteger.get_valueTs+28EGG--//00111r7)rr)rrrrr)rr8r>)r8r)rrrrr-rrrs@r6rr>sv"<=YYYYYYY 2222222222r7rc*eZdZdZedfdfd ZxZS)raA class for displaying text that shows "label = value" with the value continuously updated from a :class:`~.ValueTracker`. Parameters ---------- var The initial value you need to keep track of and display. label The label for your variable. Raw strings are convertex to :class:`~.MathTex` objects. var_type The class used for displaying the number. Defaults to :class:`DecimalNumber`. num_decimal_places The number of decimal places to display in your variable. Defaults to 2. If `var_type` is an :class:`Integer`, this parameter is ignored. kwargs Other arguments to be passed to `~.Mobject`. Attributes ---------- label : Union[:class:`str`, :class:`~.Tex`, :class:`~.MathTex`, :class:`~.Text`, :class:`~.SingleStringMathTex`] The label for your variable, for example ``x = ...``. tracker : :class:`~.ValueTracker` Useful in updating the value of your variable on-screen. value : Union[:class:`DecimalNumber`, :class:`Integer`] The tex for the value of your variable. Examples -------- Normal usage:: # DecimalNumber type var = 0.5 on_screen_var = Variable(var, Text("var"), num_decimal_places=3) # Integer type int_var = 0 on_screen_int_var = Variable(int_var, Text("int_var"), var_type=Integer) # Using math mode for the label on_screen_int_var = Variable(int_var, "{a}_{i}", var_type=Integer) .. manim:: VariablesWithValueTracker class VariablesWithValueTracker(Scene): def construct(self): var = 0.5 on_screen_var = Variable(var, Text("var"), num_decimal_places=3) # You can also change the colours for the label and value on_screen_var.label.set_color(RED) on_screen_var.value.set_color(GREEN) self.play(Write(on_screen_var)) # The above line will just display the variable with # its initial value on the screen. If you also wish to # update it, you can do so by accessing the `tracker` attribute self.wait() var_tracker = on_screen_var.tracker var = 10.5 self.play(var_tracker.animate.set_value(var)) self.wait() int_var = 0 on_screen_int_var = Variable( int_var, Text("int_var"), var_type=Integer ).next_to(on_screen_var, DOWN) on_screen_int_var.label.set_color(RED) on_screen_int_var.value.set_color(GREEN) self.play(Write(on_screen_int_var)) self.wait() var_tracker = on_screen_int_var.tracker var = 10.5 self.play(var_tracker.animate.set_value(var)) self.wait() # If you wish to have a somewhat more complicated label for your # variable with subscripts, superscripts, etc. the default class # for the label is MathTex subscript_label_var = 10 on_screen_subscript_var = Variable(subscript_label_var, "{a}_{i}").next_to( on_screen_int_var, DOWN ) self.play(Write(on_screen_subscript_var)) self.wait() .. manim:: VariableExample class VariableExample(Scene): def construct(self): start = 2.0 x_var = Variable(start, 'x', num_decimal_places=3) sqr_var = Variable(start**2, 'x^2', num_decimal_places=3) Group(x_var, sqr_var).arrange(DOWN) sqr_var.add_updater(lambda v: v.tracker.set_value(x_var.tracker.get_value()**2)) self.add(x_var, sqr_var) self.play(x_var.tracker.animate.set_value(5), run_time=2, rate_func=linear) self.wait(0.1) rvarrlabel0str | Tex | MathTex | Text | SingleStringMathTexvar_typetype[DecimalNumber | Integer]rrr)rc t|trt|n|_tdjt }j|t|_|tkr.tj |_ n6|tkr+tj _ j fdjt tjdi|jj dS)N=)rc\|jSrq)rtrackerr)vr4s r6z#Variable.__init__..s!T\5K5K5M5M)N)Nr7r+)rerbr rrSrTrMrrrrvaluer add_updaterr,r-)r4rrrrr)equalsr5s` r6r-zVariable.__init__s>(2%'='=HWU^^^5 %%dj%88 v#C(( } $ $& &&((#5DJJ  !7!7!9!9::DJ NNNNOOWW J    ""6""" TZ(((((r7) rrrrrrrrr)r)rrrrrr-rrs@r6rrXsXddT3@"# )))))))))))r7r)r __future__r__all__typingrrnumpyrjmanimr manim.constants)manim.mobject.opengl.opengl_compatibilityr manim.mobject.text.tex_mobjectr r rmanim.mobject.text.text_mobjectr&manim.mobject.types.vectorized_mobjectrmanim.mobject.value_trackerr manim.typingrr__annotations__rrrr+r7r6rs$$$"""""" 2 2 2EEEEEELLLLLLLLLL000000;;;;;;444444%%%%%%466666d3d3d3d3d3Hd3d3d3d3N 22222m2224C)C)C)C)C)x?C)C)C)C)C)C)r7