Add Chebyshev function support for more efficient calculations.

lagoon/desk/lib/lagoon.hoon

@@ -71,7 +71,7 @@
     ~/  %submatrix
     |=  [sli=(list slice) a=ray]
     ::
-    ::  example: sli=~[`[`1 `3] `[`1 ~] ~] is equivalent to a[1:4,1:]
+    ::  example: sli=~[`[`1 `3] `[`1 ~] ~] is equivalent to a[1:3,1:,:]
     ::
     ^-  ray
     ::
@@ -100,14 +100,13 @@
     ::
     ::  calculate the shape of the result
     =/  out-shape=(list @)
-    %+  turn  
+    %+  turn
       out-indices
     |=(inds=(list (list @)) (lent inds))
     :: 
     ::  grab submatrix entries from cartesian product
     =/  new-dat=@ux
     %+  rep  bloq.meta.a
-    %-  flop
     %+  turn
       (gather out-indices)
     |=  dex=(list @)
@@ -213,8 +212,7 @@
   ++  get-item-number  ::  convert n-dimensional index to scalar index
     |=  [shape=(list @) dex=(list @)]
     ^-  @
-    :: =.  dex  (flop dex)
-    =/  sap  (flop shape)
+    =/  sap  shape
     =/  cof  1
     =/  ret  0
     |-  ^+  ret

lib3d/desk/dat/sphere-100.hoon

@@ -0,0 +1,101 @@
+:~  ~[.0.0 .1.0 .0.0]
+    ~[.-0.147 .0.98 .0.135]
+    ~[.0.0246 .0.96 .-0.28]
+    ~[.0.209 .0.939 .0.272]
+    ~[.-0.388 .0.919 .-0.0686]
+    ~[.0.37 .0.899 .-0.235]
+    ~[.-0.124 .0.879 .0.461]
+    ~[.-0.236 .0.859 .-0.455]
+    ~[.0.512 .0.838 .0.187]
+    ~[.-0.531 .0.818 .0.219]
+    ~[.0.255 .0.798 .-0.546]
+    ~[.0.188 .0.778 .0.6]
+    ~[.-0.565 .0.758 .-0.327]
+    ~[.0.66 .0.737 .-0.145]
+    ~[.-0.401 .0.717 .0.57]
+    ~[.-0.0922 .0.697 .-0.711]
+    ~[.0.563 .0.677 .0.474]
+    ~[.-0.754 .0.657 .0.0312]
+    ~[.0.547 .0.636 .-0.544]
+    ~[.-0.0364 .0.616 .0.787]
+    ~[.-0.514 .0.596 .-0.617]
+    ~[.0.81 .0.576 .0.109]
+    ~[.-0.683 .0.556 .0.475]
+    ~[.0.185 .0.535 .-0.824]
+    ~[.0.426 .0.515 .0.744]
+    ~[.-0.828 .0.495 .-0.264]
+    ~[.0.799 .0.475 .-0.369]
+    ~[.-0.344 .0.455 .0.822]
+    ~[.-0.305 .0.434 .-0.848]
+    ~[.0.806 .0.414 .0.423]
+    ~[.-0.889 .0.394 .0.234]
+    ~[.0.502 .0.374 .-0.78]
+    ~[.0.158 .0.354 .0.922]
+    ~[.-0.745 .0.333 .-0.577]
+    ~[.0.946 .0.313 .-0.0784]
+    ~[.-0.649 .0.293 .0.702]
+    ~[.0.00469 .0.273 .-0.962]
+    ~[.0.65 .0.253 .0.717]
+    ~[.-0.968 .0.232 .-0.0898]
+    ~[.0.778 .0.212 .-0.591]
+    ~[.-0.176 .0.192 .0.966]
+    ~[.-0.525 .0.172 .-0.834]
+    ~[.0.953 .0.152 .0.261]
+    ~[.-0.882 .0.131 .0.453]
+    ~[.0.345 .0.111 .-0.932]
+    ~[.0.375 .0.0909 .0.922]
+    ~[.-0.901 .0.0707 .-0.427]
+    ~[.0.954 .0.0505 .-0.294]
+    ~[.-0.505 .0.0303 .0.862]
+    ~[.-0.21 .0.0101 .-0.978]
+    ~[.0.815 .-0.0101 .0.579]
+    ~[.-0.992 .-0.0303 .0.124]
+    ~[.0.647 .-0.0505 .-0.761]
+    ~[.0.0364 .-0.0707 .0.997]
+    ~[.-0.699 .-0.0909 .-0.709]
+    ~[.0.993 .-0.111 .0.0507]
+    ~[.-0.764 .-0.131 .0.631]
+    ~[.0.137 .-0.152 .-0.979]
+    ~[.0.559 .-0.172 .0.811]
+    ~[.-0.956 .-0.192 .-0.22]
+    ~[.0.85 .-0.212 .-0.482]
+    ~[.-0.3 .-0.232 .0.925]
+    ~[.-0.402 .-0.253 .-0.88]
+    ~[.0.886 .-0.273 .0.376]
+    ~[.-0.901 .-0.293 .0.319]
+    ~[.0.446 .-0.313 .-0.839]
+    ~[.0.236 .-0.333 .0.913]
+    ~[.-0.784 .-0.354 .-0.51]
+    ~[.0.915 .-0.374 .-0.153]
+    ~[.-0.566 .-0.394 .0.724]
+    ~[.-0.0707 .-0.414 .-0.907]
+    ~[.0.658 .-0.434 .0.615]
+    ~[.-0.891 .-0.455 .-0.00869]
+    ~[.0.655 .-0.475 .-0.588]
+    ~[.-0.0844 .-0.495 .0.865]
+    ~[.-0.515 .-0.515 .-0.685]
+    ~[.0.83 .-0.535 .0.155]
+    ~[.-0.706 .-0.556 .0.439]
+    ~[.0.22 .-0.576 .-0.787]
+    ~[.0.363 .-0.596 .0.716]
+    ~[.-0.737 .-0.616 .-0.277]
+    ~[.0.716 .-0.636 .-0.287]
+    ~[.-0.326 .-0.657 .0.68]
+    ~[.-0.213 .-0.677 .-0.705]
+    ~[.0.617 .-0.697 .0.366]
+    ~[.-0.682 .-0.717 .0.143]
+    ~[.0.394 .-0.737 .-0.549]
+    ~[.0.0776 .-0.758 .0.648]
+    ~[.-0.477 .-0.778 .-0.41]
+    ~[.0.602 .-0.798 .-0.019]
+    ~[.-0.411 .-0.818 .0.402]
+    ~[.0.0305 .-0.838 .-0.544]
+    ~[.0.325 .-0.859 .0.397]
+    ~[.-0.472 .-0.879 .-0.0682]
+    ~[.0.362 .-0.899 .-0.247]
+    ~[.-0.0902 .-0.919 .0.383]
+    ~[.-0.168 .-0.939 .-0.299]
+    ~[.0.267 .-0.96 .0.0881]
+    ~[.-0.182 .-0.98 .0.0821]
+    ~[.0.0 .-1.0 .-0.0]
+==