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Add all_integer() and group_data().
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33
arrays.scad
33
arrays.scad
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@ -1796,6 +1796,39 @@ function array_group(v, cnt=2, dflt=0) =
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[for (i = [0:cnt:len(v)-1]) [for (j = [0:1:cnt-1]) default(v[i+j], dflt)]];
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// Function: group_data()
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// Usage:
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// groupings = group_data(groups, values);
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// Topics: Array Handling
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// See Also: zip(), zip_long(), array_group()
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// Description:
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// Given a list of integer group numbers, and an equal-length list of values,
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// returns a list of groups with the values sorted into the corresponding groups.
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// Ie: if you have a groups index list of [2,3,2] and values of ["A","B","C"], then
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// the values "A" and "C" will be put in group 2, and "B" will be in group 3.
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// Groups that have no values grouped into them will be an empty list. So the
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// above would return [[], [], ["A","C"], ["B"]]
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// Arguments:
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// groups = A list of integer group index numbers.
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// values = A list of values to sort into groups.
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// Example:
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// groups = group_data([1,2,0], ["A","B","C"]); // Returns [["B"],["C"],["A"]]
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// Example:
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// groups = group_data([1,3,1], ["A","B","C"]); // Returns [[],["A","C"],[],["B"]]
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function group_data(groups, values) =
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assert(all_integer(groups) && all_nonnegative(groups));
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assert(is_list(values));
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assert(len(groups)==len(values),
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"The groups and values arguments should be lists of matching length.")
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let( sorted = _group_sort_by_index(zip(groups,values),0) )
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// retrieve values and insert []
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[for(i=idx(sorted))
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let( a = i==0? 0 : sorted[i-1][0][0]+1,
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g0 = sorted[i] )
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each [ for(j=[a:1:g0[0][0]-1]) [], [for(g1=g0) g1[1]] ]
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];
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// Function: flatten()
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// Usage:
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// list = flatten(l);
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@ -578,6 +578,7 @@ module no_module() {
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function _valstr(x) =
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is_list(x)? str("[",str_join([for (xx=x) _valstr(xx)],","),"]") :
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is_num(x) && x==floor(x)? fmt_int(x) :
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is_finite(x)? fmt_float(x,12) : x;
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25
math.scad
25
math.scad
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@ -1204,6 +1204,31 @@ function all_equal(vec,eps=0) =
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eps==0 ? [for(v=vec) if (v!=vec[0]) v] == []
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: [for(v=vec) if (!approx(v,vec[0])) v] == [];
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// Function: all_integer()
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// Usage:
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// bool = all_integer(x);
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// Description:
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// If given a number, returns true if the number is a finite integer.
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// If given an empty list, returns false. If given a non-empty list, returns
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// true if every item of the list is an integer. Otherwise, returns false.
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// Arguments:
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// x = The value to check.
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// Examples:
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// b = all_integer(true); // Returns: false
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// b = all_integer("foo"); // Returns: false
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// b = all_integer(4); // Returns: true
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// b = all_integer(4.5); // Returns: false
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// b = all_integer([]); // Returns: false
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// b = all_integer([3,4,5]); // Returns: true
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// b = all_integer([3,4.2,5]); // Returns: false
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// b = all_integer([3,[4,7],5]); // Returns: false
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function all_integer(x) =
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is_num(x)? is_int(x) :
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is_list(x)? (x != [] && [for (xx=x) if(!is_int(xx)) 1] == []) :
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false;
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// Function: approx()
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// Usage:
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// b = approx(a,b,[eps])
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