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Speed optimizations for approx()

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Garth Minette 2021-11-03 18:52:51 -07:00
parent 649953c3fb
commit 7ed34f592a
1 changed files with 10 additions and 5 deletions
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15
comparisons.scad
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@ -12,7 +12,8 @@
// Usage:
// test = approx(a, b, [eps])
// Description:
// Compares two numbers or vectors, and returns true if they are closer than `eps` to each other.
// Compares two numbers, vectors, or matrices. Returns true if they are closer than `eps` to each other.
// Results are undefined if `a` and `b` are of different types, or if vectors or matrices contain non-numbers.
// Arguments:
// a = First value.
// b = Second value.
@ -21,12 +22,16 @@
// test1 = approx(-0.3333333333,-1/3); // Returns: true
// test2 = approx(0.3333333333,1/3); // Returns: true
// test3 = approx(0.3333,1/3); // Returns: false
// test4 = approx(0.3333,1/3,eps=1e-3); // Returns: true
// test4 = approx(0.3333,1/3,eps=1e-3); // Returns: true
// test5 = approx(PI,3.1415926536); // Returns: true
// test6 = approx([0,0,sin(45)],[0,0,sqrt(2)/2]); // Returns: true
function approx(a,b,eps=EPSILON) =
(a==b && is_bool(a) == is_bool(b)) ||
(is_num(a) && is_num(b) && abs(a-b) <= eps) ||
(is_list(a) && is_list(b) && len(a) == len(b) && [] == [for (i=idx(a)) if (!approx(a[i],b[i],eps=eps)) 1]);
a == b? is_bool(a) == is_bool(b) :
is_num(a) && is_num(b)? abs(a-b) <= eps :
is_list(a) && is_list(b) && len(a) == len(b)? (
is_num(a.x) && is_num(b.x)? norm(a-b) <= eps :
[] == [for (i=idx(a)) if (!approx(a[i],b[i],eps=eps)) 1]
) : false;
// Function: all_zero()