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https://github.com/revarbat/BOSL2.git
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Input data check review and some refactoring
Some functions have been changed as a consequence of the dat checking review. vector_axis was fully refactored. add_scalar was moved to arrays.scad
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@ -1,4 +1,4 @@
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include <BOSL2/std.scad>
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include <../std.scad>
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module test_is_vector() {
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@ -9,17 +9,14 @@ module test_is_vector() {
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assert(is_vector(1) == false);
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assert(is_vector("foo") == false);
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assert(is_vector(true) == false);
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assert(is_vector([0,0],nonzero=true) == false);
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assert(is_vector([0,1e-12,0],nonzero=true) == false);
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assert(is_vector([0,1e-6,0],nonzero=true) == true);
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assert(is_vector([0,1e-6,0],nonzero=true,eps=1e-4) == false);
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}
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test_is_vector();
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module test_add_scalar() {
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assert(add_scalar([1,2,3],3) == [4,5,6]);
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assert(add_scalar([[1,2,3],[3,4,5]],3) == [[4,5,6],[6,7,8]]);
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}
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test_add_scalar();
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module test_vfloor() {
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assert_equal(vfloor([2.0, 3.14, 18.9, 7]), [2,3,18,7]);
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assert_equal(vfloor([-2.0, -3.14, -18.9, -7]), [-2,-4,-19,-7]);
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@ -56,7 +53,7 @@ module test_vabs() {
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}
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test_vabs();
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include <BOSL2/strings.scad>
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include <../strings.scad>
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module test_vang() {
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assert(vang([1,0])==0);
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assert(vang([0,1])==90);
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136
vectors.scad
136
vectors.scad
@ -20,32 +20,29 @@
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// v = The value to test to see if it is a vector.
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// length = If given, make sure the vector is `length` items long.
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// Example:
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// is_vector(4); // Returns false
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// is_vector([4,true,false]); // Returns false
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// is_vector([3,4,INF,5]); // Returns false
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// is_vector([3,4,5,6]); // Returns true
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// is_vector([3,4,undef,5]); // Returns false
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// is_vector([3,4,5],3); // Returns true
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// is_vector([3,4,5],4); // Returns true
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// is_vector([]); // Returns false
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function is_vector(v,length) =
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is_list(v) && is_num(0*(v*v)) && (is_undef(length)||len(v)==length);
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// is_vector(4); // Returns false
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// is_vector([4,true,false]); // Returns false
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// is_vector([3,4,INF,5]); // Returns false
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// is_vector([3,4,5,6]); // Returns true
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// is_vector([3,4,undef,5]); // Returns false
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// is_vector([3,4,5],3); // Returns true
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// is_vector([3,4,5],4); // Returns true
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// is_vector([]); // Returns false
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// is_vector([0,4,0],3,nonzero=true); // Returns true
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// is_vector([0,0,0],nonzero=true); // Returns false
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// is_vector([0,0,1e-12],nonzero=true); // Returns false
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// is_vector([],nonzero=true); // Returns false
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function is_vector(v,length, nonzero=false, eps=EPSILON) =
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is_list(v) && is_num(0*(v*v))
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&& (is_undef(length)|| len(v)==length)
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&& ( ! nonzero || ([]!=[for(vi=v) if(abs(vi)>=eps) 1]) );
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//***
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// including non_zero option
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// extended examples
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// Function: add_scalar()
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// Usage:
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// add_scalar(v,s);
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// Description:
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// Given a vector and a scalar, returns the vector with the scalar added to each item in it.
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// If given a list of vectors, recursively adds the scalar to the each vector.
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// Arguments:
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// v = The initial list of values.
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// s = A scalar value to add to every item in the vector.
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// Example:
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// add_scalar([1,2,3],3); // Returns: [4,5,6]
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// add_scalar([[1,2,3],[3,4,5]],3); // Returns: [[4,5,6],[6,7,8]]
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function add_scalar(v,s) = [for (x=v) is_list(x)? add_scalar(x,s) : x+s];
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//***
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// add_scalar() is an array operation: moved to array.scad
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// Function: vang()
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// Usage:
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@ -55,6 +52,7 @@ function add_scalar(v,s) = [for (x=v) is_list(x)? add_scalar(x,s) : x+s];
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// Given a 2D vector, returns the angle in degrees counter-clockwise from X+ on the XY plane.
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// Given a 3D vector, returns [THETA,PHI] where THETA is the number of degrees counter-clockwise from X+ on the XY plane, and PHI is the number of degrees up from the X+ axis along the XZ plane.
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function vang(v) =
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assert( is_vector(v,2) || is_vector(v,3) , "Invalid vector")
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len(v)==2? atan2(v.y,v.x) :
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let(res=xyz_to_spherical(v)) [res[1], 90-res[2]];
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@ -68,7 +66,9 @@ function vang(v) =
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// v2 = The second vector.
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// Example:
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// vmul([3,4,5], [8,7,6]); // Returns [24, 28, 30]
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function vmul(v1, v2) = [for (i = [0:1:len(v1)-1]) v1[i]*v2[i]];
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function vmul(v1, v2) =
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assert( is_vector(v1) && is_vector(v2,len(v1)), "Incompatible vectors")
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[for (i = [0:1:len(v1)-1]) v1[i]*v2[i]];
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// Function: vdiv()
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@ -80,7 +80,9 @@ function vmul(v1, v2) = [for (i = [0:1:len(v1)-1]) v1[i]*v2[i]];
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// v2 = The second vector.
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// Example:
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// vdiv([24,28,30], [8,7,6]); // Returns [3, 4, 5]
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function vdiv(v1, v2) = [for (i = [0:1:len(v1)-1]) v1[i]/v2[i]];
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function vdiv(v1, v2) =
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assert( is_vector(v1) && is_vector(v2,len(v1)), "Incompatible vectors")
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[for (i = [0:1:len(v1)-1]) v1[i]/v2[i]];
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// Function: vabs()
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@ -89,19 +91,25 @@ function vdiv(v1, v2) = [for (i = [0:1:len(v1)-1]) v1[i]/v2[i]];
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// v = The vector to get the absolute values of.
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// Example:
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// vabs([-1,3,-9]); // Returns: [1,3,9]
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function vabs(v) = [for (x=v) abs(x)];
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function vabs(v) =
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assert( is_vector(v), "Invalid vector" )
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[for (x=v) abs(x)];
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// Function: vfloor()
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// Description:
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// Returns the given vector after performing a `floor()` on all items.
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function vfloor(v) = [for (x=v) floor(x)];
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function vfloor(v) =
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assert( is_vector(v), "Invalid vector" )
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[for (x=v) floor(x)];
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// Function: vceil()
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// Description:
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// Returns the given vector after performing a `ceil()` on all items.
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function vceil(v) = [for (x=v) ceil(x)];
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function vceil(v) =
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assert( is_vector(v), "Invalid vector" )
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[for (x=v) ceil(x)];
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// Function: unit()
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@ -129,6 +137,7 @@ function unit(v, error=[[["ASSERT"]]]) =
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// Function: vector_angle()
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// Usage:
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// vector_angle(v1,v2);
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// vector_angle([v1,v2]);
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// vector_angle(PT1,PT2,PT3);
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// vector_angle([PT1,PT2,PT3]);
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// Description:
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@ -148,34 +157,38 @@ function unit(v, error=[[["ASSERT"]]]) =
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// vector_angle([10,0,10], [0,0,0], [-10,10,0]); // Returns: 120
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// vector_angle([[10,0,10], [0,0,0], [-10,10,0]]); // Returns: 120
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function vector_angle(v1,v2,v3) =
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let(
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vecs = !is_undef(v3)? [v1-v2,v3-v2] :
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!is_undef(v2)? [v1,v2] :
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len(v1) == 3? [v1[0]-v1[1],v1[2]-v1[1]] :
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len(v1) == 2? v1 :
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assert(false, "Bad arguments to vector_angle()"),
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is_valid = is_vector(vecs[0]) && is_vector(vecs[1]) && vecs[0]*0 == vecs[1]*0
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assert( ( is_undef(v3) && ( is_undef(v2) || same_shape(v1,v2) ) )
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|| is_consistent([v1,v2,v3]) ,
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"Bad arguments.")
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assert( is_vector(v1) || is_consistent(v1), "Bad arguments.")
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let( vecs = ! is_undef(v3) ? [v1-v2,v3-v2] :
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! is_undef(v2) ? [v1,v2] :
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len(v1) == 3 ? [v1[0]-v1[1], v1[2]-v1[1]]
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: v1
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)
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assert(is_valid, "Bad arguments to vector_angle()")
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assert(is_vector(vecs[0],2) || is_vector(vecs[0],3), "Bad arguments.")
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let(
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norm0 = norm(vecs[0]),
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norm1 = norm(vecs[1])
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)
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assert(norm0>0 && norm1>0,"Zero length vector given to vector_angle()")
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assert(norm0>0 && norm1>0, "Zero length vector.")
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// NOTE: constrain() corrects crazy FP rounding errors that exceed acos()'s domain.
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acos(constrain((vecs[0]*vecs[1])/(norm0*norm1), -1, 1));
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//***
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// completing input data check
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// Function: vector_axis()
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// Usage:
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// vector_axis(v1,v2);
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// vector_axis([v1,v2]);
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// vector_axis(PT1,PT2,PT3);
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// vector_axis([PT1,PT2,PT3]);
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// Description:
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// If given a single list of two vectors, like `vector_axis([V1,V2])`, returns the vector perpendicular the two vectors V1 and V2.
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// If given a single list of three points, like `vector_axis([A,B,C])`, returns the vector perpendicular the line segments AB and BC.
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// If given two vectors, like `vector_axis(V1,V1)`, returns the vector perpendicular the two vectors V1 and V2.
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// If given three points, like `vector_axis(A,B,C)`, returns the vector perpendicular the line segments AB and BC.
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// If given a single list of three points, like `vector_axis([A,B,C])`, returns the vector perpendicular to the plane through a, B and C.
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// If given two vectors, like `vector_axis(V1,V2)`, returns the vector perpendicular to the two vectors V1 and V2.
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// If given three points, like `vector_axis(A,B,C)`, returns the vector perpendicular to the plane through a, B and C.
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// Arguments:
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// v1 = First vector or point.
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// v2 = Second vector or point.
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@ -188,22 +201,29 @@ function vector_angle(v1,v2,v3) =
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// vector_axis([10,0,10], [0,0,0], [-10,10,0]); // Returns: [-0.57735, -0.57735, 0.57735]
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// vector_axis([[10,0,10], [0,0,0], [-10,10,0]]); // Returns: [-0.57735, -0.57735, 0.57735]
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function vector_axis(v1,v2=undef,v3=undef) =
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(is_list(v1) && is_list(v1[0]) && is_undef(v2) && is_undef(v3))? (
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assert(is_vector(v1.x))
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assert(is_vector(v1.y))
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len(v1)==3? assert(is_vector(v1.z)) vector_axis(v1.x, v1.y, v1.z) :
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len(v1)==2? vector_axis(v1.x, v1.y) :
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assert(false, "Bad arguments.")
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) :
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(is_vector(v1) && is_vector(v2) && is_vector(v3))? vector_axis(v1-v2, v3-v2) :
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(is_vector(v1) && is_vector(v2) && is_undef(v3))? let(
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eps = 1e-6,
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v1 = point3d(v1/norm(v1)),
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v2 = point3d(v2/norm(v2)),
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v3 = (norm(v1-v2) > eps && norm(v1+v2) > eps)? v2 :
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(norm(vabs(v2)-UP) > eps)? UP :
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RIGHT
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) unit(cross(v1,v3)) : assert(false, "Bad arguments.");
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is_vector(v3)
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? assert(is_consistent([v3,v2,v1]), "Bad arguments.")
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vector_axis(v1-v2, v3-v2)
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: assert( is_undef(v3), "Bad arguments.")
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is_undef(v2)
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? assert( is_list(v1), "Bad arguments.")
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len(v1) == 2
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? vector_axis(v1[0],v1[1])
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: vector_axis(v1[0],v1[1],v1[2])
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: assert( is_vector(v1,nonzero=true) && is_vector(v2,nonzero=true) && is_consistent([v1,v2])
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, "Bad arguments.")
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let(
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eps = 1e-6,
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w1 = point3d(v1/norm(v1)),
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w2 = point3d(v2/norm(v2)),
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w3 = (norm(w1-w2) > eps && norm(w1+w2) > eps) ? w2
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: (norm(vabs(w2)-UP) > eps)? UP
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: RIGHT
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) unit(cross(w1,w3));
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//***
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// completing input data check and refactoring
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// Note: vector_angle and vector_axis have the same kind of inputs and two code strategy alternatives
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// vim: expandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
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