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This is\nparticularly true if you see the line \"Help on ufunc object:\" at the top\nof the help() page.  Ufuncs are implemented in C, not Python, for speed.\nThe native Python help() does not know how to view their help, but our\nnp.info() function does.\n\nTo search for documents containing a keyword, do::\n\n  >>> np.lookfor('keyword')\n  ... # doctest: +SKIP\n\nGeneral-purpose documents like a glossary and help on the basic concepts\nof numpy are available under the ``doc`` sub-module::\n\n  >>> from numpy import doc\n  >>> help(doc)\n  ... # doctest: +SKIP\n\nAvailable subpackages\n---------------------\ndoc\n    Topical documentation on broadcasting, indexing, etc.\nlib\n    Basic functions used by several sub-packages.\nrandom\n    Core Random Tools\nlinalg\n    Core Linear Algebra Tools\nfft\n    Core FFT routines\npolynomial\n    Polynomial tools\ntesting\n    Numpy testing tools\nf2py\n    Fortran to Python Interface Generator.\ndistutils\n    Enhancements to distutils with support for\n    Fortran compilers support and more.\n\nUtilities\n---------\ntest\n    Run numpy unittests\nshow_config\n    Show numpy build configuration\ndual\n    Overwrite certain functions with high-performance Scipy tools\nmatlib\n    Make everything matrices.\n__version__\n    Numpy version string\n\nViewing documentation using IPython\n-----------------------------------\nStart IPython with the NumPy profile (``ipython -p numpy``), which will\nimport `numpy` under the alias `np`.  Then, use the ``cpaste`` command to\npaste examples into the shell.  To see which functions are available in\n`numpy`, type ``np.<TAB>`` (where ``<TAB>`` refers to the TAB key), or use\n``np.*cos*?<ENTER>`` (where ``<ENTER>`` refers to the ENTER key) to narrow\ndown the list.  To view the docstring for a function, use\n``np.cos?<ENTER>`` (to view the docstring) and ``np.cos??<ENTER>`` (to view\nthe source code).\n\nCopies vs. in-place operation\n-----------------------------\nMost of the functions in `numpy` return a copy of the array argument\n(e.g., `np.sort`).  In-place versions of these functions are often\navailable as array methods, i.e. ``x = np.array([1,2,3]); x.sort()``.\nExceptions to this rule are documented.\n\n");function un(n,i){var t,r;if((n instanceof Sk.builtin.list||n instanceof Sk.builtin.tuple)&&(n=Sk.misceval.callsim(Q.array,n)),b(n)){var u=g(n).map((function(n){return r=Sk.builtin.asnum$(n),t=i.call(null,r),new Sk.builtin.float_(t)})),l=new Sk.builtin.tuple(N(n).map((function(n){return new Sk.builtin.int_(n)})));return buffer=new Sk.builtin.list(u),Sk.misceval.callsim(Q[e],l,d(n),buffer)}if(Sk.builtin.checkNumber(n))return r=Sk.builtin.asnum$(n),t=i.call(null,r),new Sk.builtin.float_(t);throw new Sk.builtin.TypeError('Unsupported argument type for "x"')}Q[e]=Sk.misceval.buildClass(Q,(function(n,i){function t(n){return function(i,t){var r,u,l,o,a,s;if(b(t))for(r=g(i),u=g(t),o=[],s=0,len=r.length;s<len;s++)o[s]=Sk.abstr.binary_op_(r[s],u[s],n);else 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_n=function(n,t,r,u,l){Sk.builtin.pyCheckArgs("linspace",arguments,3,5),Sk.builtin.pyCheckType("start","number",Sk.builtin.checkNumber(n)),Sk.builtin.pyCheckType("stop","number",Sk.builtin.checkNumber(t)),void 0===r&&(r=50);var o,a,s,c,f=Sk.builtin.asnum$(r);(void 0===u?o=!0:u.constructor===Sk.builtin.bool&&(o=u.v),void 0===l?a=!1:l.constructor===Sk.builtin.bool&&(a=l.v),start_num=1*Sk.builtin.asnum$(n),stop_num=1*Sk.builtin.asnum$(t),f<=0)?s=[]:o?1==f?s=[start_num]:(c=(stop_num-start_num)/(f-1),(s=Y.arange(0,f).map((function(n){return n*c+start_num})))[s.length-1]=stop_num):(c=(stop_num-start_num)/f,s=Y.arange(0,f).map((function(n){return n*c+start_num})));var k=Sk.builtin.float_;for(i=0;i<s.length;i++)s[i]=Sk.misceval.callsim(k,s[i]);var b=Sk.builtin.list(s),S=new Sk.builtin.tuple([s.length]),p=Sk.misceval.callsim(Q[e],S,k,b);return!0===a?new Sk.builtin.tuple([p,c]):p};_n.co_varnames=["start","stop","num","endpoint","retstep"],_n.$defaults=[0,0,50,!0,!1],Q.linspace=new 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Sk.misceval.callsim(Q[e],c,u,buffer)};vn.co_varnames=["start","stop","step","dtype"],vn.$defaults=[0,1,1,Sk.builtin.none.none$],Q.arange=new Sk.builtin.func(vn);var yn=function(n,i,t,e,r,u){if(Sk.builtin.pyCheckArgs("array",arguments,1,6),void 0===n)throw new Sk.builtin.TypeError("'"+Sk.abstr.typeName(n)+"' object is undefined");if(null!=u&&!1===Sk.builtin.checkInt(u))throw new Sk.builtin.TypeError('Parameter "ndmin" must be of type "int"');return L(n,i,u)};yn.co_varnames=["object","dtype","copy","order","subok","ndmin"],yn.$defaults=[null,Sk.builtin.none.none$,!0,new Sk.builtin.str("C"),!1,new Sk.builtin.int_(0)],Q.array=new Sk.builtin.func(yn);var gn=function(n,i,t){return Sk.misceval.callsim(Q.array,i,Sk.builtin.bool.false$,t)};Q.asanyarray=new Sk.builtin.func(gn),gn.co_varnames=["a","dtype","order"],gn.$defaults=[null,Sk.builtin.none.none$,Sk.builtin.none.none$];var $n=function(n,i,t){if(Sk.builtin.pyCheckArgs("zeros",arguments,1,3),!Sk.builtin.checkSequence(n)&&!Sk.builtin.checkInt(n))throw new Sk.builtin.TypeError('argument "shape" must int or sequence of ints');if(i instanceof Sk.builtin.list)throw new Sk.builtin.TypeError("'"+Sk.abstr.typeName(i)+"' is not supported for dtype.");var e=new Sk.builtin.float_(0);return Sk.misceval.callsim(Q.full,n,e,i,t)};$n.co_varnames=["shape","dtype","order"],$n.$defaults=[new Sk.builtin.tuple([]),Sk.builtin.none.none$,new Sk.builtin.str("C")],Q.zeros=new Sk.builtin.func($n);var En=function(n,i,t,r){if(Sk.builtin.pyCheckArgs("full",arguments,2,4),!Sk.builtin.checkSequence(n)&&!Sk.builtin.checkInt(n))throw new Sk.builtin.TypeError('argument "shape" must int or sequence of ints');if(t instanceof Sk.builtin.list)throw new Sk.builtin.TypeError("'"+Sk.abstr.typeName(t)+"' is currently not supported for dtype.");var u,l=Sk.ffi.remapToJs(n);Sk.builtin.checkInt(n)&&((u=[]).push(l),l=u);var o,a=tn(l),s=[],c=i;for(o=0;o<a;o++)s[o]=c;if(!t&&Sk.builtin.checkNumber(i)&&(t=Sk.builtin.float_),Sk.builtin.checkClass(t))for(o=0;o<s.length;o++)s[o]!==Sk.builtin.none.none$&&(s[o]=Sk.misceval.callsim(t,s[o]));return Sk.misceval.callsim(Q[e],new Sk.builtin.list(l),t,new Sk.builtin.list(s))};En.co_varnames=["shape","fill_value","dtype","order"],En.$defaults=[new Sk.builtin.tuple([]),Sk.builtin.none.none$,Sk.builtin.none.none$,new Sk.builtin.str("C")],Q.full=new Sk.builtin.func(En);Q.abs=new Sk.builtin.func((function(n){return Sk.builtin.pyCheckArgs("abs",arguments,1,1),1==b(n)?Sk.misceval.callsim(n.__abs__,n):Sk.builtin.abs(n)})),Q.absolute=Q.abs;var An=function(n,i,t,e,r){Sk.builtin.pyCheckArgs("mean",arguments,1,5);var u,l,o,a=new Sk.builtin.float_(0),s=0;if(null!=i&&!Sk.builtin.checkNone(i))throw new Sk.builtin.NotImplementedError("the 'axis' parameter is currently not supported");if(null!=e&&!Sk.builtin.checkNone(e))throw new Sk.builtin.NotImplementedError("the 'out' parameter is currently not supported");if(null!=r&&r!=Sk.builtin.bool.false$)throw new Sk.builtin.NotImplementedError("the 'keepdims' parameter is currently not supported");if(1==b(n)){for(l=g(n),o=new Sk.builtin.int_(y(n)),s=0;s<o.v;s++)a=Sk.abstr.numberBinOp(a,l[s],"Add");u=Sk.abstr.numberBinOp(a,o,"Div")}else u=n;return null==t||Sk.builtin.checkNone(t)||(u=Sk.misceval.callsim(t,u)),u};An.co_varnames=["a","axis","dtype","out","keepdims"],An.$defaults=[null,Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.bool.false$],Q.mean=new Sk.builtin.func(An);var Nn=function(n,i,t,e,r){Sk.builtin.pyCheckArgs("sum",arguments,1,5);var u,l,o=new Sk.builtin.float_(0),a=0;if(null!=i&&!Sk.builtin.checkNone(i))throw new Sk.builtin.NotImplementedError("the 'axis' parameter is currently not supported");if(null!=e&&!Sk.builtin.checkNone(e))throw new Sk.builtin.NotImplementedError("the 'out' parameter is currently not supported");if(null!=r&&r!=Sk.builtin.bool.false$)throw new Sk.builtin.NotImplementedError("the 'keepdims' parameter is currently not supported");if(1==b(n))for(u=g(n),l=new Sk.builtin.int_(y(n)),a=0;a<l.v;a++)o=Sk.abstr.numberBinOp(o,u[a],"Add");else o=n;return null==t||Sk.builtin.checkNone(t)||(o=Sk.misceval.callsim(t,o)),o};Nn.co_varnames=["a","axis","dtype","out","keepdims"],Nn.$defaults=[null,Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.bool.false$],Q.sum=new Sk.builtin.func(Nn);var In=function(n,i,t,e,r){Sk.builtin.pyCheckArgs("prod",arguments,1,5);var u,l,o=new Sk.builtin.float_(1),a=0;if(null!=i&&!Sk.builtin.checkNone(i))throw new Sk.builtin.NotImplementedError("the 'axis' parameter is currently not supported");if(null!=e&&!Sk.builtin.checkNone(e))throw new Sk.builtin.NotImplementedError("the 'out' parameter is currently not supported");if(null!=r&&r!=Sk.builtin.bool.false$)throw new Sk.builtin.NotImplementedError("the 'keepdims' parameter is currently not supported");if(1==b(n))for(u=g(n),l=new Sk.builtin.int_(y(n)),a=0;a<l.v;a++)o=Sk.abstr.numberBinOp(o,u[a],"Mult");else o=n;return null==t||Sk.builtin.checkNone(t)||(o=Sk.misceval.callsim(t,o)),o};In.co_varnames=["a","axis","dtype","out","keepdims"],In.$defaults=[null,Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.bool.false$],Q.prod=new Sk.builtin.func(In);var Tn=function(n,i,t){if(Sk.builtin.pyCheckArgs("ones",arguments,1,3),!Sk.builtin.checkSequence(n)&&!Sk.builtin.checkInt(n))throw new Sk.builtin.TypeError('argument "shape" must int or sequence of ints');if(i instanceof Sk.builtin.list)throw new Sk.builtin.TypeError("'"+Sk.abstr.typeName(i)+"' is not supported for dtype.");var e=new Sk.builtin.float_(1);return Sk.misceval.callsim(Q.full,n,e,i,t)};Tn.co_varnames=["shape","dtype","order"],Tn.$defaults=[new Sk.builtin.tuple([]),Sk.builtin.none.none$,new Sk.builtin.str("C")],Q.ones=new Sk.builtin.func(Tn);var xn=function(n,i,t){if(Sk.builtin.pyCheckArgs("empty",arguments,1,3),!Sk.builtin.checkSequence(n)&&!Sk.builtin.checkInt(n))throw new Sk.builtin.TypeError('argument "shape" must int or sequence of ints');if(i instanceof Sk.builtin.list)throw new Sk.builtin.TypeError("'"+Sk.abstr.typeName(i)+"' is not supported for dtype.");var e=Sk.builtin.none.none$;return Sk.misceval.callsim(Q.full,n,e,i,t)};xn.co_varnames=["shape","dtype","order"],xn.$defaults=[new Sk.builtin.tuple([]),Sk.builtin.none.none$,new Sk.builtin.str("C")],Q.empty=new Sk.builtin.func(xn);var Cn=function(n,i,t){if(Sk.builtin.pyCheckArgs("dot",arguments,2,3),Sk.builtin.checkNone(t)&&(t=null),null!=t&&!b(t))throw new Sk.builtin.TypeError("'out' must be an array");return _(X(n,i,t))};Cn.co_varnames=["a","b","out"],Cn.$defaults=[Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.none.none$],Q.dot=new Sk.builtin.func(Cn);Q.vdot=new Sk.builtin.func((function(i,t){var e,r,u,l,o,a,s,c=i,f=t,k=[-1,1],b=null,S=null;if(e=R(c,0),null==(b=L(c,a=V(e=R(f,e)),0)))return null;if(null!=(c=T(b,k,"NPY_CORDER"))){if(b=c,null==(S=L(f,a,0)))return null;if(null!=(f=T(S,k,"NPY_CORDER"))){if(I(S=f,0)!=I(b,0))throw new Sk.builtin.ValueError("vectors have different lengths");var p=new Sk.builtin.tuple([0].map((function(n){return new Sk.builtin.int_(n)})));switch(o=Sk.misceval.callsim(Q.zeros,p,a),n=I(b,0),stride1=E(b,0),stride2=E(S,0),r=g(b),u=g(S),l=g(o),e){case 0:case 1:case 2:case 3:s=P;break;default:throw new Sk.builtin.ValueError("function not available for this data type")}return s.call(null,r,stride1,u,stride2,l,n,null),_(o)}}}));var Pn=function(n,i,t,e){Sk.builtin.pyCheckArgs("any",arguments,1,4,!1);var r,u=g(L(n));if(null!=i&&!Sk.builtin.checkNone(i))throw new ValueError('"axis" parameter not supported');if(null!=t&&!Sk.builtin.checkNone(t))throw new ValueError('"out" parameter not supported');for(r=0;r<u.length;r++)if(Sk.builtin.bool(u[r])==Sk.builtin.bool.true$)return Sk.builtin.bool.true$;return Sk.builtin.bool.false$};Pn.co_varnames=["a","axis","out","keepdims"],Pn.$defaults=[Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.bool.false$],Q.any=new Sk.builtin.func(Pn);var qn=function(n,i,t,e){Sk.builtin.pyCheckArgs("all",arguments,1,4,!1);var r,u=g(L(n));if(null!=i&&!Sk.builtin.checkNone(i))throw new ValueError('"axis" parameter not supported');if(null!=t&&!Sk.builtin.checkNone(t))throw new ValueError('"out" parameter not supported');for(r=0;r<u.length;r++)if(Sk.builtin.bool(u[r])==Sk.builtin.bool.false$)return Sk.builtin.bool.false$;return Sk.builtin.bool.true$};function Mn(n,i,t,e){var r,u=L(i),l=L(t),o=g(u),a=g(l),s=[];if(!(b(i)||Sk.builtin.checkSequence(i)||b(t)||Sk.builtin.checkSequence(t)))return Sk.builtin.bool(Sk.misceval.richCompareBool(i,t,n));if(y(u)!==y(l))if(1===y(u)){var c=o[0];for(f=1;f<y(l);f++)o.push(c);r=N(l)}else{if(1!==y(l))throw new Sk.builtin.ValueError("operands could not be broadcast together with shapes");var f;c=a[0];for(f=1;f<y(u);f++)a.push(c);r=N(u)}else r=N(u);if(null!=e&&!Sk.builtin.checkNone(e))throw new ValueError('"out" parameter not supported');for(f=0;f<o.length;f++)s.push(Sk.builtin.bool(Sk.misceval.richCompareBool(o[f],a[f],n)));return _(T(L(new Sk.builtin.list(s)),r,null))}qn.co_varnames=["a","axis","out","keepdims"],qn.$defaults=[Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.bool.false$],Q.all=new Sk.builtin.func(qn);var On=function(n,i,t){return Sk.builtin.pyCheckArgs("less",arguments,2,3,!1),Mn("Lt",n,i,t)};On.co_varnames=["a","axis","out","keepdims"],On.$defaults=[Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.bool.false$],Q.less=new Sk.builtin.func(On);var Jn=function(n,i,t){return Sk.builtin.pyCheckArgs("less_equal",arguments,2,3,!1),Mn("LtE",n,i,t)};Jn.co_varnames=["a","axis","out","keepdims"],Jn.$defaults=[Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.bool.false$],Q.less_equal=new Sk.builtin.func(Jn);var Bn=function(n,i,t){return Sk.builtin.pyCheckArgs("greater",arguments,2,3,!1),Mn("Gt",n,i,t)};Bn.co_varnames=["a","axis","out","keepdims"],Bn.$defaults=[Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.bool.false$],Q.greater=new Sk.builtin.func(Bn);var Vn=function(n,i,t){return Sk.builtin.pyCheckArgs("greater_equal",arguments,2,3,!1),Mn("GtE",n,i,t)};Vn.co_varnames=["a","axis","out","keepdims"],Vn.$defaults=[Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.bool.false$],Q.greater_equal=new Sk.builtin.func(Vn);var Rn=function(n,i,t){return Sk.builtin.pyCheckArgs("equal",arguments,2,3,!1),Mn("Eq",n,i,t)};Rn.co_varnames=["a","axis","out","keepdims"],Rn.$defaults=[Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.bool.false$],Q.equal=new Sk.builtin.func(Rn);var Fn=function(n,i,t){return Sk.builtin.pyCheckArgs("not_equal",arguments,2,3,!1),Mn("NotEq",n,i,t)};return Fn.co_varnames=["a","axis","out","keepdims"],Fn.$defaults=[Sk.builtin.none.none$,Sk.builtin.none.none$,Sk.builtin.bool.false$],Q.not_equal=new Sk.builtin.func(Fn),Q.identity=new Sk.builtin.func((function(n,i){var t,e,r;Sk.builtin.pyCheckArgs("identity",arguments,1,2,!1),n=new Sk.builtin.int_(n),t=Sk.misceval.callsim(Q.zeros,new Sk.builtin.tuple([n,n]),i);var u=Sk.ffi.remapToJs(n),l=d(t)(1);for(e=0,r=0;e<u;e++,r++)g(t)[nn($(t),[e,r])]=l;return t})),Q.eye=new Sk.builtin.func((function(n,i,t,e){throw new Sk.builtin.NotImplementedError("eye is not yet implemented")})),Q.ones_like=new Sk.builtin.func((function(){throw new Sk.builtin.NotImplementedError("ones_like is not yet implemented")})),Q.empty_like=new Sk.builtin.func((function(){throw new Sk.builtin.NotImplementedError("empty_like is not yet implemented")})),Q.ones_like=new Sk.builtin.func((function(){throw new Sk.builtin.NotImplementedError("ones_like is not yet implemented")})),Q.arctan2=new Sk.builtin.func((function(){throw new Sk.builtin.NotImplementedError("arctan2 is not yet implemented")})),Q.asarray=new Sk.builtin.func(yn),Q};