code stringlengths 3 6.57k |
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atan(x) |
rewrite(log) |
evalf(subs={x:-5*I}) |
atan(5*I) |
evalf() |
atan(x) |
rewrite(log) |
evalf(subs={x:5*I}) |
test_atan_fdiff() |
atan(x) |
fdiff() |
raises(ArgumentIndexError, lambda: atan(x) |
fdiff(2) |
test_atan2() |
FiniteSet(2) |
atan2(0, 0) |
atan2(0, 1) |
atan2(1, 1) |
atan2(1, 0) |
atan2(1, -1) |
Rational(3, 4) |
atan2(0, -1) |
atan2(-1, -1) |
Rational(-3, 4) |
atan2(-1, 0) |
atan2(-1, 1) |
symbols('i', imaginary=True) |
symbols('r', real=True) |
atan2(r, i) |
log((i + I*r) |
sqrt(i**2 + r**2) |
eq.subs(reps) |
ans.subs(reps) |
Symbol('x', negative=True) |
Symbol('y', negative=True) |
atan2(y, x) |
atan(y/x) |
Symbol('y', nonnegative=True) |
atan2(y, x) |
atan(y/x) |
Symbol('y') |
atan2(y, x) |
atan2(y, x, evaluate=False) |
Symbol("u", positive=True) |
atan2(0, u) |
Symbol("u", negative=True) |
atan2(0, u) |
atan2(y, oo) |
atan2(y, -oo) |
Heaviside(re(y) |
atan2(y, x) |
rewrite(log) |
log((x + I*y) |
sqrt(x**2 + y**2) |
atan2(0, 0) |
atan2(y, x) |
arg(x + I*y) |
ex.subs({x:2, y:3}) |
rewrite(arg) |
ex.subs({x:2, y:3*I}) |
rewrite(arg) |
log(sqrt(5) |
ex.subs({x:2*I, y:3}) |
rewrite(arg) |
log(sqrt(5) |
ex.subs({x:2*I, y:3*I}) |
rewrite(arg) |
atan(Rational(2, 3) |
atan(Rational(3, 2) |
symbols('i', imaginary=True) |
symbols('r', real=True) |
atan2(i, r) |
e.rewrite(arg) |
log(abs(I*i + r) |
sqrt(abs(i**2 + r**2) |
arg((I*i + r) |
sqrt(i**2 + r**2) |
assert (e - rewrite) |
subs(reps) |
equals(0) |
atan2(0, x) |
rewrite(atan) |
Piecewise((pi, re(x) |
Ne(x, 0) |
atan2(0, r) |
rewrite(atan) |
Piecewise((pi, r < 0) |
Ne(r, 0) |
atan2(0, i) |
rewrite(atan) |
atan2(0, r + i) |
rewrite(atan) |
Piecewise((pi, r < 0) |
atan2(y, x) |
rewrite(atan) |
atan(y/(x + sqrt(x**2 + y**2) |
Ne(y, 0) |
re(x) |
re(x) |
Ne(im(x) |
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