B = Tensor('^ij', function(i,j) return var'b'('^'..coords[i+1].name..' '..coords[j+1].name) end)
| GOOD |
time: 0.430000ms stack: size: 0 |
printbr(Array(B:dim()))
|
$\left[\begin{array}{cc} 3& 3\end{array}\right]$
GOOD |
time: 0.077000ms stack: size: 0 |
| ||
printbr(B'^ix'())
|
$\overset{i\downarrow}{\left[\begin{matrix} {{ b} ^x} ^x \\ {{ b} ^y} ^x \\ {{ b} ^z} ^x\end{matrix}\right]}$
GOOD |
time: 2.079000ms stack: size: 7
|
printbr(Array(B'^ix'():dim()))
|
$\left[\begin{array}{c} 3\end{array}\right]$
GOOD |
time: 1.186000ms stack: size: 7
|
| ||
rank-1 subtensor assignment | ||
| ||
A is from the txyz chart, so it will have 4 elements accordingly | ||
A = Tensor('^a', function(a) return var'a'('^'..coords[a].name) end)
| GOOD |
time: 0.195000ms stack: size: 0 |
printbr('A = '..A)
|
A = $\overset{a\downarrow}{\left[\begin{matrix} { a} ^t \\ { a} ^x \\ { a} ^y \\ { a} ^z\end{matrix}\right]}$
GOOD |
time: 0.105000ms stack: size: 0 |
assert(A[1] == var'a''^t')
| GOOD |
time: 0.032000ms stack: size: 0 |
assert(A[2] == var'a''^x')
| GOOD |
time: 0.064000ms stack: size: 0 |
assert(A[3] == var'a''^y')
| GOOD |
time: 0.010000ms stack: size: 0 |
assert(A[4] == var'a''^z')
| GOOD |
time: 0.030000ms stack: size: 0 |
| ||
B is from the xyz chart, so it will have 3 elements accordingly | ||
B = Tensor('^i', function(i) return var'b'('^'..coords[i+1].name) end)
| GOOD |
time: 0.065000ms stack: size: 0 |
printbr('B = '..B)
|
B = $\overset{i\downarrow}{\left[\begin{matrix} { b} ^x \\ { b} ^y \\ { b} ^z\end{matrix}\right]}$
GOOD |
time: 0.155000ms stack: size: 0 |
assert(B[1] == var'b''^x')
| GOOD |
time: 0.028000ms stack: size: 0 |
assert(B[2] == var'b''^y')
| GOOD |
time: 0.010000ms stack: size: 0 |
assert(B[3] == var'b''^z')
| GOOD |
time: 0.010000ms stack: size: 0 |
| ||
| ||
A2 = A:clone()
| GOOD |
time: 0.034000ms stack: size: 0 |
A2['^i'] = B'^i'()
| GOOD |
time: 1.537000ms stack: size: 7
|
printbr('A2 = '..A2)
|
A2 = $\overset{a\downarrow}{\left[\begin{matrix} { a} ^t \\ { b} ^x \\ { b} ^y \\ { b} ^z\end{matrix}\right]}$
GOOD |
time: 0.131000ms stack: size: 0 |
assertEq(A2[1], A[1])
|
${{ a} ^t} = {{ a} ^t}$
GOOD |
time: 0.060000ms stack: size: 0 |
B uses the xyz chart so B.x is B[1]assertEq(A2[2], B[1])
|
${{ b} ^x} = {{ b} ^x}$
GOOD |
time: 0.061000ms stack: size: 0 |
assertEq(A2[3], B[2])
|
${{ b} ^y} = {{ b} ^y}$
GOOD |
time: 0.033000ms stack: size: 0 |
assertEq(A2[4], B[3])
|
${{ b} ^z} = {{ b} ^z}$
GOOD |
time: 0.074000ms stack: size: 0 |
assertEq(A2, Tensor('^a', A[1], B[1], B[2], B[3]))
|
${\overset{a\downarrow}{\left[\begin{matrix} { a} ^t \\ { b} ^x \\ { b} ^y \\ { b} ^z\end{matrix}\right]}} = {\overset{a\downarrow}{\left[\begin{matrix} { a} ^t \\ { b} ^x \\ { b} ^y \\ { b} ^z\end{matrix}\right]}}$
GOOD |
time: 0.403000ms stack: size: 0 |
| ||
rank-2 subtensor assignment | ||
| ||
A = Tensor('^ab', function(a,b) return var'a'('^'..coords[a].name..' '..coords[b].name) end)
| GOOD |
time: 0.660000ms stack: size: 0 |
printbr('A = '..A)
|
A = $\overset{a\downarrow b\rightarrow}{\left[\begin{array}{cccc} {{ a} ^t} ^t& {{ a} ^t} ^x& {{ a} ^t} ^y& {{ a} ^t} ^z\\ {{ a} ^x} ^t& {{ a} ^x} ^x& {{ a} ^x} ^y& {{ a} ^x} ^z\\ {{ a} ^y} ^t& {{ a} ^y} ^x& {{ a} ^y} ^y& {{ a} ^y} ^z\\ {{ a} ^z} ^t& {{ a} ^z} ^x& {{ a} ^z} ^y& {{ a} ^z} ^z\end{array}\right]}$
GOOD |
time: 0.332000ms stack: size: 0 |
for i=1,4 do for j=1,4 do assertEq(A[i][j], var'a'('^'..coords[i].name..coords[j].name)) end end
|
${{{ a} ^t} ^t} = {{{ a} ^t} ^t}$
${{{ a} ^t} ^x} = {{{ a} ^t} ^x}$ ${{{ a} ^t} ^y} = {{{ a} ^t} ^y}$ ${{{ a} ^t} ^z} = {{{ a} ^t} ^z}$ ${{{ a} ^x} ^t} = {{{ a} ^x} ^t}$ ${{{ a} ^x} ^x} = {{{ a} ^x} ^x}$ ${{{ a} ^x} ^y} = {{{ a} ^x} ^y}$ ${{{ a} ^x} ^z} = {{{ a} ^x} ^z}$ ${{{ a} ^y} ^t} = {{{ a} ^y} ^t}$ ${{{ a} ^y} ^x} = {{{ a} ^y} ^x}$ ${{{ a} ^y} ^y} = {{{ a} ^y} ^y}$ ${{{ a} ^y} ^z} = {{{ a} ^y} ^z}$ ${{{ a} ^z} ^t} = {{{ a} ^z} ^t}$ ${{{ a} ^z} ^x} = {{{ a} ^z} ^x}$ ${{{ a} ^z} ^y} = {{{ a} ^z} ^y}$ ${{{ a} ^z} ^z} = {{{ a} ^z} ^z}$ GOOD |
time: 0.864000ms stack: size: 0 |
| ||
B = Tensor('^ij', function(i,j) return var'b'('^'..coords[i+1].name..' '..coords[j+1].name) end)
| GOOD |
time: 0.403000ms stack: size: 0 |
printbr('B = '..B)
|
B = $\overset{i\downarrow j\rightarrow}{\left[\begin{array}{ccc} {{ b} ^x} ^x& {{ b} ^x} ^y& {{ b} ^x} ^z\\ {{ b} ^y} ^x& {{ b} ^y} ^y& {{ b} ^y} ^z\\ {{ b} ^z} ^x& {{ b} ^z} ^y& {{ b} ^z} ^z\end{array}\right]}$
GOOD |
time: 0.258000ms stack: size: 0 |
for i=1,3 do for j=1,3 do assertEq(B[i][j], var'b'('^'..spatialCoords[i].name..spatialCoords[j].name)) end end
|
${{{ b} ^x} ^x} = {{{ b} ^x} ^x}$
${{{ b} ^x} ^y} = {{{ b} ^x} ^y}$ ${{{ b} ^x} ^z} = {{{ b} ^x} ^z}$ ${{{ b} ^y} ^x} = {{{ b} ^y} ^x}$ ${{{ b} ^y} ^y} = {{{ b} ^y} ^y}$ ${{{ b} ^y} ^z} = {{{ b} ^y} ^z}$ ${{{ b} ^z} ^x} = {{{ b} ^z} ^x}$ ${{{ b} ^z} ^y} = {{{ b} ^z} ^y}$ ${{{ b} ^z} ^z} = {{{ b} ^z} ^z}$ GOOD |
time: 0.986000ms stack: size: 0 |
| ||
A['^ij'] = B'^ij'()
| GOOD |
time: 5.739000ms stack: size: 7
|
printbr('A = '..A)
|
A = $\overset{a\downarrow b\rightarrow}{\left[\begin{array}{cccc} {{ a} ^t} ^t& {{ a} ^t} ^x& {{ a} ^t} ^y& {{ a} ^t} ^z\\ {{ a} ^x} ^t& {{ b} ^x} ^x& {{ b} ^x} ^y& {{ b} ^x} ^z\\ {{ a} ^y} ^t& {{ b} ^y} ^x& {{ b} ^y} ^y& {{ b} ^y} ^z\\ {{ a} ^z} ^t& {{ b} ^z} ^x& {{ b} ^z} ^y& {{ b} ^z} ^z\end{array}\right]}$
GOOD |
time: 0.316000ms stack: size: 0 |
for j=1,4 do assertEq(A[1][j], var'a'('^t'..coords[j].name)) end
|
${{{ a} ^t} ^t} = {{{ a} ^t} ^t}$
${{{ a} ^t} ^x} = {{{ a} ^t} ^x}$ ${{{ a} ^t} ^y} = {{{ a} ^t} ^y}$ ${{{ a} ^t} ^z} = {{{ a} ^t} ^z}$ GOOD |
time: 0.107000ms stack: size: 0 |
for i=1,4 do assertEq(A[i][1], var'a'('^'..coords[i].name..'t')) end
|
${{{ a} ^t} ^t} = {{{ a} ^t} ^t}$
${{{ a} ^x} ^t} = {{{ a} ^x} ^t}$ ${{{ a} ^y} ^t} = {{{ a} ^y} ^t}$ ${{{ a} ^z} ^t} = {{{ a} ^z} ^t}$ GOOD |
time: 0.105000ms stack: size: 0 |
for i=1,3 do for j=1,3 do assertEq(A[i+1][j+1], var'b'('^'..spatialCoords[i].name..spatialCoords[j].name)) end end
|
${{{ b} ^x} ^x} = {{{ b} ^x} ^x}$
${{{ b} ^x} ^y} = {{{ b} ^x} ^y}$ ${{{ b} ^x} ^z} = {{{ b} ^x} ^z}$ ${{{ b} ^y} ^x} = {{{ b} ^y} ^x}$ ${{{ b} ^y} ^y} = {{{ b} ^y} ^y}$ ${{{ b} ^y} ^z} = {{{ b} ^y} ^z}$ ${{{ b} ^z} ^x} = {{{ b} ^z} ^x}$ ${{{ b} ^z} ^y} = {{{ b} ^z} ^y}$ ${{{ b} ^z} ^z} = {{{ b} ^z} ^z}$ GOOD |
time: 0.256000ms stack: size: 0 |
| ||
C = Tensor('^i', function(i) return var'c'('^'..coords[i+1].name) end)
| GOOD |
time: 0.074000ms stack: size: 0 |
printbr('C = '..C)
|
C = $\overset{i\downarrow}{\left[\begin{matrix} { c} ^x \\ { c} ^y \\ { c} ^z\end{matrix}\right]}$
GOOD |
time: 0.071000ms stack: size: 0 |
| ||
A['^ti'] = C'^i'()
| GOOD |
time: 2.607000ms stack: size: 7
|
printbr('A = '..A)
|
A = $\overset{a\downarrow b\rightarrow}{\left[\begin{array}{cccc} {{ a} ^t} ^t& { c} ^x& { c} ^y& { c} ^z\\ {{ a} ^x} ^t& {{ b} ^x} ^x& {{ b} ^x} ^y& {{ b} ^x} ^z\\ {{ a} ^y} ^t& {{ b} ^y} ^x& {{ b} ^y} ^y& {{ b} ^y} ^z\\ {{ a} ^z} ^t& {{ b} ^z} ^x& {{ b} ^z} ^y& {{ b} ^z} ^z\end{array}\right]}$
GOOD |
time: 0.333000ms stack: size: 0 |
for j=1,3 do assertEq(A[1][j+1], var'c'('^'..spatialCoords[j].name)) end
|
${{ c} ^x} = {{ c} ^x}$
${{ c} ^y} = {{ c} ^y}$ ${{ c} ^z} = {{ c} ^z}$ GOOD |
time: 0.224000ms stack: size: 0 |
for i=1,4 do assertEq(A[i][1], var'a'('^'..coords[i].name..'t')) end
|
${{{ a} ^t} ^t} = {{{ a} ^t} ^t}$
${{{ a} ^x} ^t} = {{{ a} ^x} ^t}$ ${{{ a} ^y} ^t} = {{{ a} ^y} ^t}$ ${{{ a} ^z} ^t} = {{{ a} ^z} ^t}$ GOOD |
time: 0.117000ms stack: size: 0 |
for i=1,3 do for j=1,3 do assertEq(A[i+1][j+1], var'b'('^'..spatialCoords[i].name..spatialCoords[j].name)) end end
|
${{{ b} ^x} ^x} = {{{ b} ^x} ^x}$
${{{ b} ^x} ^y} = {{{ b} ^x} ^y}$ ${{{ b} ^x} ^z} = {{{ b} ^x} ^z}$ ${{{ b} ^y} ^x} = {{{ b} ^y} ^x}$ ${{{ b} ^y} ^y} = {{{ b} ^y} ^y}$ ${{{ b} ^y} ^z} = {{{ b} ^y} ^z}$ ${{{ b} ^z} ^x} = {{{ b} ^z} ^x}$ ${{{ b} ^z} ^y} = {{{ b} ^z} ^y}$ ${{{ b} ^z} ^z} = {{{ b} ^z} ^z}$ GOOD |
time: 0.295000ms stack: size: 0 |
| ||
A['^it'] = B'^ix'()
| GOOD |
time: 2.856000ms stack: size: 7
|
printbr('A = '..A)
|
A = $\overset{a\downarrow b\rightarrow}{\left[\begin{array}{cccc} {{ a} ^t} ^t& { c} ^x& { c} ^y& { c} ^z\\ {{ b} ^x} ^x& {{ b} ^x} ^x& {{ b} ^x} ^y& {{ b} ^x} ^z\\ {{ b} ^y} ^x& {{ b} ^y} ^x& {{ b} ^y} ^y& {{ b} ^y} ^z\\ {{ b} ^z} ^x& {{ b} ^z} ^x& {{ b} ^z} ^y& {{ b} ^z} ^z\end{array}\right]}$
GOOD |
time: 0.263000ms stack: size: 0 |
assertEq(A[1][1], var'a''^tt')
|
${{{ a} ^t} ^t} = {{{ a} ^t} ^t}$
GOOD |
time: 0.069000ms stack: size: 0 |
for j=1,3 do assertEq(A[1][j+1], var'c'('^'..spatialCoords[j].name)) end
|
${{ c} ^x} = {{ c} ^x}$
${{ c} ^y} = {{ c} ^y}$ ${{ c} ^z} = {{ c} ^z}$ GOOD |
time: 0.115000ms stack: size: 0 |
for i=1,3 do assertEq(A[i+1][1], var'b'('^'..spatialCoords[i].name..'x')) end
|
${{{ b} ^x} ^x} = {{{ b} ^x} ^x}$
${{{ b} ^y} ^x} = {{{ b} ^y} ^x}$ ${{{ b} ^z} ^x} = {{{ b} ^z} ^x}$ GOOD |
time: 0.101000ms stack: size: 0 |
for i=1,3 do for j=1,3 do assertEq(A[i+1][j+1], var'b'('^'..spatialCoords[i].name..spatialCoords[j].name)) end end
|
${{{ b} ^x} ^x} = {{{ b} ^x} ^x}$
${{{ b} ^x} ^y} = {{{ b} ^x} ^y}$ ${{{ b} ^x} ^z} = {{{ b} ^x} ^z}$ ${{{ b} ^y} ^x} = {{{ b} ^y} ^x}$ ${{{ b} ^y} ^y} = {{{ b} ^y} ^y}$ ${{{ b} ^y} ^z} = {{{ b} ^y} ^z}$ ${{{ b} ^z} ^x} = {{{ b} ^z} ^x}$ ${{{ b} ^z} ^y} = {{{ b} ^z} ^y}$ ${{{ b} ^z} ^z} = {{{ b} ^z} ^z}$ GOOD |
time: 0.384000ms stack: size: 0 |
| ||
A['^tt'] = 2
| GOOD |
time: 1.506000ms stack: size: 7
|
printbr('A = '..A)
|
A = $\overset{a\downarrow b\rightarrow}{\left[\begin{array}{cccc} 2& { c} ^x& { c} ^y& { c} ^z\\ {{ b} ^x} ^x& {{ b} ^x} ^x& {{ b} ^x} ^y& {{ b} ^x} ^z\\ {{ b} ^y} ^x& {{ b} ^y} ^x& {{ b} ^y} ^y& {{ b} ^y} ^z\\ {{ b} ^z} ^x& {{ b} ^z} ^x& {{ b} ^z} ^y& {{ b} ^z} ^z\end{array}\right]}$
GOOD |
time: 0.231000ms stack: size: 0 |
assertEq(A[1][1], Constant(2))
|
${2} = {2}$
GOOD |
time: 0.038000ms stack: size: 0 |
for j=1,3 do assertEq(A[1][j+1], var'c'('^'..spatialCoords[j].name)) end
|
${{ c} ^x} = {{ c} ^x}$
${{ c} ^y} = {{ c} ^y}$ ${{ c} ^z} = {{ c} ^z}$ GOOD |
time: 0.122000ms stack: size: 0 |
for i=1,3 do assertEq(A[i+1][1], var'b'('^'..spatialCoords[i].name..'x')) end
|
${{{ b} ^x} ^x} = {{{ b} ^x} ^x}$
${{{ b} ^y} ^x} = {{{ b} ^y} ^x}$ ${{{ b} ^z} ^x} = {{{ b} ^z} ^x}$ GOOD |
time: 0.112000ms stack: size: 0 |
for i=1,3 do for j=1,3 do assertEq(A[i+1][j+1], var'b'('^'..spatialCoords[i].name..spatialCoords[j].name)) end end
|
${{{ b} ^x} ^x} = {{{ b} ^x} ^x}$
${{{ b} ^x} ^y} = {{{ b} ^x} ^y}$ ${{{ b} ^x} ^z} = {{{ b} ^x} ^z}$ ${{{ b} ^y} ^x} = {{{ b} ^y} ^x}$ ${{{ b} ^y} ^y} = {{{ b} ^y} ^y}$ ${{{ b} ^y} ^z} = {{{ b} ^y} ^z}$ ${{{ b} ^z} ^x} = {{{ b} ^z} ^x}$ ${{{ b} ^z} ^y} = {{{ b} ^z} ^y}$ ${{{ b} ^z} ^z} = {{{ b} ^z} ^z}$ GOOD |
time: 0.305000ms stack: size: 0 |
| ||
A['^ij'] = 1
| GOOD |
time: 3.897000ms stack: size: 7
|
printbr('A = '..A)
|
A = $\overset{a\downarrow b\rightarrow}{\left[\begin{array}{cccc} 2& { c} ^x& { c} ^y& { c} ^z\\ {{ b} ^x} ^x& 1& 1& 1\\ {{ b} ^y} ^x& 1& 1& 1\\ {{ b} ^z} ^x& 1& 1& 1\end{array}\right]}$
GOOD |
time: 0.173000ms stack: size: 0 |
assertEq(A[1][1], Constant(2))
|
${2} = {2}$
GOOD |
time: 0.026000ms stack: size: 0 |
for j=1,3 do assertEq(A[1][j+1], var'c'('^'..spatialCoords[j].name)) end
|
${{ c} ^x} = {{ c} ^x}$
${{ c} ^y} = {{ c} ^y}$ ${{ c} ^z} = {{ c} ^z}$ GOOD |
time: 0.071000ms stack: size: 0 |
for i=1,3 do assertEq(A[i+1][1], var'b'('^'..spatialCoords[i].name..'x')) end
|
${{{ b} ^x} ^x} = {{{ b} ^x} ^x}$
${{{ b} ^y} ^x} = {{{ b} ^y} ^x}$ ${{{ b} ^z} ^x} = {{{ b} ^z} ^x}$ GOOD |
time: 0.077000ms stack: size: 0 |
for i=1,3 do for j=1,3 do assertEq(A[i+1][j+1], Constant(1)) end end
|
${1} = {1}$
${1} = {1}$ ${1} = {1}$ ${1} = {1}$ ${1} = {1}$ ${1} = {1}$ ${1} = {1}$ ${1} = {1}$ ${1} = {1}$ GOOD |
time: 0.236000ms stack: size: 0 |