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Added all_nonzero(). Added is_vector(all_nonzero=).

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Garth Minette
2020-09-07 23:10:39 -07:00
parent a9b8f5618a
commit b2121fbfb3
5 changed files with 76 additions and 18 deletions
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42
math.scad
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@@ -905,7 +905,7 @@ function norm_fro(A) =
// Usage:
// all_zero(x);
// Description:
// Returns true if the number passed to it is approximately zero, to within `eps`.
// Returns true if the finite number passed to it is approximately zero, to within `eps`.
// If passed a list, recursively checks if all items in the list are approximately zero.
// Otherwise, returns false.
// Arguments:
@@ -917,8 +917,30 @@ function norm_fro(A) =
// all_zero([0,0,0]); // Returns: true.
// all_zero([0,0,1e-3]); // Returns: false.
function all_zero(x, eps=EPSILON) =
is_finite(x)? approx(x,eps) :
is_list(x)? (x != [] && [for (xx=x) if(!all_zero(xx,eps=eps)) 1] == []) :
is_num(x)? approx(x,eps) :
false;
// Function: all_nonzero()
// Usage:
// all_nonzero(x);
// Description:
// Returns true if the finite number passed to it is not almost zero, to within `eps`.
// If passed a list, recursively checks if all items in the list are not almost zero.
// Otherwise, returns false.
// Arguments:
// x = The value to check.
// eps = The maximum allowed variance. Default: `EPSILON` (1e-9)
// Example:
// all_nonzero(0); // Returns: false.
// all_nonzero(1e-3); // Returns: true.
// all_nonzero([0,0,0]); // Returns: false.
// all_nonzero([0,0,1e-3]); // Returns: false.
// all_nonzero([1e-3,1e-3,1e-3]); // Returns: true.
function all_nonzero(x, eps=EPSILON) =
is_finite(x)? !approx(x,eps) :
is_list(x)? (x != [] && [for (xx=x) if(!all_nonzero(xx,eps=eps)) 1] == []) :
false;
@@ -926,7 +948,7 @@ function all_zero(x, eps=EPSILON) =
// Usage:
// all_positive(x);
// Description:
// Returns true if the number passed to it is greater than zero.
// Returns true if the finite number passed to it is greater than zero.
// If passed a list, recursively checks if all items in the list are positive.
// Otherwise, returns false.
// Arguments:
@@ -940,8 +962,8 @@ function all_zero(x, eps=EPSILON) =
// all_positive([3,1,2]); // Returns: true.
// all_positive([3,-1,2]); // Returns: false.
function all_positive(x) =
is_list(x)? (x != [] && [for (xx=x) if(!all_positive(xx)) 1] == []) :
is_num(x)? x>0 :
is_list(x)? (x != [] && [for (xx=x) if(!all_positive(xx)) 1] == []) :
false;
@@ -949,7 +971,7 @@ function all_positive(x) =
// Usage:
// all_negative(x);
// Description:
// Returns true if the number passed to it is less than zero.
// Returns true if the finite number passed to it is less than zero.
// If passed a list, recursively checks if all items in the list are negative.
// Otherwise, returns false.
// Arguments:
@@ -964,8 +986,8 @@ function all_positive(x) =
// all_negative([3,-1,2]); // Returns: false.
// all_negative([-3,-1,-2]); // Returns: true.
function all_negative(x) =
is_list(x)? (x != [] && [for (xx=x) if(!all_negative(xx)) 1] == []) :
is_num(x)? x<0 :
is_list(x)? (x != [] && [for (xx=x) if(!all_negative(xx)) 1] == []) :
false;
@@ -973,7 +995,7 @@ function all_negative(x) =
// Usage:
// all_nonpositive(x);
// Description:
// Returns true if the number passed to it is less than or equal to zero.
// Returns true if the finite number passed to it is less than or equal to zero.
// If passed a list, recursively checks if all items in the list are nonpositive.
// Otherwise, returns false.
// Arguments:
@@ -988,8 +1010,8 @@ function all_negative(x) =
// all_nonpositive([3,-1,2]); // Returns: false.
// all_nonpositive([-3,-1,-2]); // Returns: true.
function all_nonpositive(x) =
is_list(x)? (x != [] && [for (xx=x) if(!all_nonpositive(xx)) 1] == []) :
is_num(x)? x<=0 :
is_list(x)? (x != [] && [for (xx=x) if(!all_nonpositive(xx)) 1] == []) :
false;
@@ -997,7 +1019,7 @@ function all_nonpositive(x) =
// Usage:
// all_nonnegative(x);
// Description:
// Returns true if the number passed to it is greater than or equal to zero.
// Returns true if the finite number passed to it is greater than or equal to zero.
// If passed a list, recursively checks if all items in the list are nonnegative.
// Otherwise, returns false.
// Arguments:
@@ -1013,8 +1035,8 @@ function all_nonpositive(x) =
// all_nonnegative([3,-1,2]); // Returns: false.
// all_nonnegative([-3,-1,-2]); // Returns: false.
function all_nonnegative(x) =
is_list(x)? (x != [] && [for (xx=x) if(!all_nonnegative(xx)) 1] == []) :
is_num(x)? x>=0 :
is_list(x)? (x != [] && [for (xx=x) if(!all_nonnegative(xx)) 1] == []) :
false;