engine-proto/gram-test/descent-test.jl

@@ -10,10 +10,10 @@ using PolynomialRoots
 # the difference between the matrices `target` and `attempt`, projected onto the
 # subspace of matrices whose entries vanish at each empty index of `target`
 function proj_diff(target, attempt)
-  I, J, values = findnz(target)
+  J, K, values = findnz(target)
   result = zeros(size(target)...)
-  for (i, j, val) in zip(I, J, values)
+  for (j, k, val) in zip(J, K, values)
-    result[i, j] = val - attempt[i, j]
+    result[j, k] = val - attempt[j, k]
   end
   result
 end
@@ -26,19 +26,19 @@ Q = diagm([-1, 1, 1, 1, 1])
 # initialize the partial gram matrix for an arrangement of seven spheres in
 # which spheres 1 through 5 are mutually tangent, and spheres 3 through 7 are
 # also mutually tangent
-I = Int64[]
 J = Int64[]
+K = Int64[]
 values = BigFloat[]
-for i in 1:7
+for j in 1:7
-  for j in 1:7
+  for k in 1:7
-    if (i <= 5 && j <= 5) || (i >= 3 && j >= 3)
+    if (j <= 5 && k <= 5) || (j >= 3 && k >= 3)
-      push!(I, i)
       push!(J, j)
-      push!(values, i == j ? 1 : -1)
+      push!(K, k)
+      push!(values, j == k ? 1 : -1)
     end
   end
 end
-gram = sparse(I, J, values)
+gram = sparse(J, K, values)
 
 # set the independent variable
 #