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def test01():
__cdbkernel__=create_scope()
ex:= A + B D G + C D A;
zoom(_, $D Q??$)
substitute(_, $A = Q$)
unzoom(_)
tst:= A + B D G + C D Q - @(ex);
assert(tst==0)
print("Test 01a passed")
ex:= A + B D G + C D A;
zoom(_, $D Q??$)
substitute(_, $D = 0$)
unzoom(_)
tst:= A - @(ex);
assert(tst==0)
print("Test 01b passed")
ex:= R = \int{A + B D G + C D A}{x};
zoom(_, $D Q??$)
substitute(_, $A = Q$)
unzoom(_)
tst:= ( R = \int{A + B D G + C D Q}{x} ) - @(ex);
print("Test 01c passed")
ex:= R = \int{A + B D G + C D A}{x};
zoom(_, $D Q??$)
substitute(_, $A = 0$)
unzoom(_)
tst:= ( R = \int{A + B D G}{x} ) - @(ex);
assert(tst== $0 = 0$)
print("Test 01d passed")
ex:= R + S = \int{A + B D G + C D A}{x};
zoom(_, $D Q??$)
substitute(_, $A = 0$)
unzoom(_)
tst:= ( R + S = \int{A + B D G}{x} ) - @(ex);
assert(tst== $0 = 0$)
print("Test 01e passed")
test01()
# def test02():
# __cdbkernel__=create_scope()
# a:= A,B,C;
# b:= D,E,F;
# c:= Q;
# d:= R+S;
# ex1=a+b
# ex2=a+c
# ex3=c+a
# ex4=a+d
# tst1:= {A,B,C,D,E,F};
# tst2:= {A,B,C,Q};
# tst3:= {Q,A,B,C};
# tst4:= {A,B,C,R+S};
# assert(tst1==ex1)
# assert(tst2==ex2)
# assert(tst3==ex3)
# assert(tst4==ex4)
# print("Test 02 passed")
#
# test02()
def test03():
# zoom should also work to select terms in an integral
# and then replace them later.
__cdbkernel__=create_scope()
ex:= 5\int{A+3 B M + C N+D}{dx};
zoom(_, $B Q??$)
substitute(_, $B->2 P$)
unzoom(_)
tst:= 5\int{A + 6 P M + C N + D}{dx} - @(ex);
assert(tst==0)
print("Test 03 passed")
test03()
def test04():
# zoom should also work to select terms in an integral
# and then replace them later.
__cdbkernel__=create_scope()
ex:= 5\int{A+3 B M + C N+D}{dx};
zoom(_, $B Q??$)
substitute(_, $B->0$)
unzoom(_)
tst:= 5\int{A + C N + D}{dx} - @(ex);
assert(tst==0)
print("Test 04 passed")
test04()
def test05():
__cdbkernel__=create_scope()
\partial{#}::PartialDerivative;
ex:=\int{A_{i} h_{j} + \partial_{i}{B_{j}} D }{x};
zoom(_, $\partial_{i}{B_{j}} Q??$)
substitute(_, $D -> E$)
unzoom(_)
tst:=\int{A_{i} h_{j} + \partial_{i}{B_{j}} E}{x} - @(ex);
assert(tst==0)
print("Test 05 passed")
test05()
# ex:= \sin( 3 \int{ A E + B_{m} C^{m} + Q D }{x} ) + \cos( \int{ A K + B E }{x} );
# zoom(_, $A Q??$);
# substitute(_, $E->1$);
# tst:= \sin( 3 \int{ A + B_{m} C^{m} + Q D }{x} ) + \cos( \int{ A K + B E }{x} ) - @(ex);
def test06():
__cdbkernel__=create_scope()
\partial{#}::PartialDerivative;
ex:= \int{ 3 A_{i j} + 2 \partial_{i}{\partial_{j}{h}}}{x};
zoom(_, $A_{i j}$)
substitute(_,$A_{i j} -> B_{i j}$)
unzoom(_)
tst:= \int{ 3 B_{i j} + 2 \partial_{i}{\partial_{j}{h}}}{x} - @(ex);
assert(tst==0)
print("Test 06 passed")
test06()
def test07():
__cdbkernel__=create_scope()
\partial{#}::PartialDerivative;
ex:= \int{ 3 h A_{i j} + 2 \partial_{i}{\partial_{j}{h}}}{x};
zoom(_, $A_{i j} Q??$)
substitute(_,$A_{i j} -> B_{i j}$)
integrate_by_parts(_, $h$)
unzoom(_)
tst:= \int{ 3 h B_{i j} + 2 \partial_{i}{\partial_{j}{h}}}{x} - @(ex);
assert(tst==0)
print("Test 07 passed")
test07()
def test08():
__cdbkernel__=create_scope()
ex:= A + B D + E B + C Q + D;
cp1:= @(ex);
zoom(ex, $B Q??$)
cp2:= @(ex);
zoom(ex, $E Q??$)
unzoom(ex)
tst:= @(cp2) - @(ex);
assert(tst==0)
print("Test 08a passed")
unzoom(ex)
tst:= @(cp1) - @(ex);
assert(tst==0)
print("Test 08b passed")
ex:= A + B D + E B + C Q + D;
cp1:= @(ex)
zoom(ex, $B Q??$)
cp2:= @(ex)
zoom(ex, $E Q??$)
unzoom(ex, repeat=True)
tst:= @(cp1) - @(ex);
assert(tst==0)
print("Test 08c passed")
test08()
#def test08():
#
# \epsilon::Weight(label=field, value=1);
# Exp:=\epsilon**4+\epsilon*(\epsilon**3+5);
# zoom(_, $\epsilon * A??$);
# distribute(_);
# unzoom(_);
# drop_weight(_, $field=4$);
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