def entity(self):
return dict(
x=self.x,
y=self.y,
color=self.color,
formula='[%s,%s]' % (jscode(self.fx), jscode(self.fy)),
)
def test_jscode_Pow():
g = implemented_function('g', Lambda(x, 2 * x))
assert jscode(x**3) == "Math.pow(x, 3)"
assert jscode(x**(y**3)) == "Math.pow(x, Math.pow(y, 3))"
assert jscode(1/(g(x)*3.5)**(x - y**x)/(x**2 + y)) == \
"Math.pow(3.5*2*x, -x + Math.pow(y, x))/(Math.pow(x, 2) + y)"
assert jscode(x**-1.0) == '1/x'
def entity(self):
return dict(
x = self.x,
y = self.y,
color = self.color,
formula = '[%s,%s]' % (jscode(self.fx), jscode(self.fy)),
)
def test_jscode_constants_other():
assert jscode(
2 * GoldenRatio
) == "var GoldenRatio = %s;\n2*GoldenRatio" % GoldenRatio.evalf(17)
assert jscode(
2 * Catalan) == "var Catalan = %s;\n2*Catalan" % Catalan.evalf(17)
assert jscode(
2 * EulerGamma
) == "var EulerGamma = %s;\n2*EulerGamma" % EulerGamma.evalf(17)
def test_MatrixElement_printing():
# test cases for issue #11821
A = MatrixSymbol("A", 1, 3)
B = MatrixSymbol("B", 1, 3)
C = MatrixSymbol("C", 1, 3)
assert (jscode(A[0, 0]) == "A[0]")
assert (jscode(3 * A[0, 0]) == "3*A[0]")
F = C[0, 0].subs(C, A - B)
assert (jscode(F) == "(A - B)[0]")
def test_jscode_inline_function():
x = symbols('x')
g = implemented_function('g', Lambda(x, 2 * x))
assert jscode(g(x)) == "2*x"
g = implemented_function('g', Lambda(x, 2 * x / Catalan))
assert jscode(g(x)) == "var Catalan = %s;\n2*x/Catalan" % Catalan.evalf(17)
A = IndexedBase('A')
i = Idx('i', symbols('n', integer=True))
g = implemented_function('g', Lambda(x, x * (1 + x) * (2 + x)))
assert jscode(g(A[i]),
assign_to=A[i]) == ("for (var i=0; i<n; i++){\n"
" A[i] = (A[i] + 1)*(A[i] + 2)*A[i];\n"
"}")
def serialize(self):
arr = []
for i in range(0, len(self.functions)):
f = self.functions[i]
if not isinstance(f, Expr):
raise Exception(
"Must only use sympy expressions when serializing")
arr.append({
"type":
"Function",
"lineWidth":
self.figure.raw2px(
self.lw[i]), # TODO: We need to convert from pt to px
"edgeColor":
self.color[i],
"lineStyle":
self.mplprops["ls"]
if self.mplprops != None and "ls" in self.mplprops else None,
"value":
jscode(f),
"variable":
str(self.variable[i]) if self.variable[i] != None else None,
"domain":
self.xyranges[i][0] if self.xyranges[i] else None
})
return arr
def test_jscode_loops_addfactor():
n, m, o, p = symbols('n m o p', integer=True)
a = IndexedBase('a')
b = IndexedBase('b')
c = IndexedBase('c')
y = IndexedBase('y')
i = Idx('i', m)
j = Idx('j', n)
k = Idx('k', o)
l = Idx('l', p)
s = (
'for (var i=0; i<m; i++){\n'
' y[i] = 0;\n'
'}\n'
'for (var i=0; i<m; i++){\n'
' for (var j=0; j<n; j++){\n'
' for (var k=0; k<o; k++){\n'
' for (var l=0; l<p; l++){\n'
' y[i] = (a[%s] + b[%s])*c[%s] + y[i];\n' % (i*n*o*p + j*o*p + k*p + l, i*n*o*p + j*o*p + k*p + l, j*o*p + k*p + l) +\
' }\n'
' }\n'
' }\n'
'}'
)
c = jscode((a[i, j, k, l] + b[i, j, k, l]) * c[j, k, l], assign_to=y[i])
assert c == s
def test_jscode_boolean():
assert jscode(x & y) == "x && y"
assert jscode(x | y) == "x || y"
assert jscode(~x) == "!x"
assert jscode(x & y & z) == "x && y && z"
assert jscode(x | y | z) == "x || y || z"
assert jscode((x & y) | z) == "z || x && y"
assert jscode((x | y) & z) == "z && (x || y)"
def test_Mod():
assert jscode(Mod(x, y)) == '((x % y) + y) % y'
assert jscode(Mod(x, x + y)) == '((x % (x + y)) + (x + y)) % (x + y)'
p1, p2 = symbols('p1 p2', positive=True)
assert jscode(Mod(p1, p2)) == 'p1 % p2'
assert jscode(Mod(p1, p2 + 3)) == 'p1 % (p2 + 3)'
assert jscode(Mod(-3, -7, evaluate=False)) == '(-3) % (-7)'
assert jscode(-Mod(p1, p2)) == '-(p1 % p2)'
assert jscode(x * Mod(p1, p2)) == 'x*(p1 % p2)'
def test_jscode_Piecewise_deep():
p = jscode(2 * Piecewise((x, x < 1), (x**2, True)))
s = \
"""\
2*((x < 1) ? (
x
)
: (
Math.pow(x, 2)
))\
"""
assert p == s
def test_Relational():
assert jscode(Eq(x, y)) == "x == y"
assert jscode(Ne(x, y)) == "x != y"
assert jscode(Le(x, y)) == "x <= y"
assert jscode(Lt(x, y)) == "x < y"
assert jscode(Gt(x, y)) == "x > y"
assert jscode(Ge(x, y)) == "x >= y"
def test_jscode_Piecewise():
expr = Piecewise((x, x < 1), (x**2, True))
p = jscode(expr)
s = \
"""\
((x < 1) ? (
x
)
: (
Math.pow(x, 2)
))\
"""
assert p == s
assert jscode(expr, assign_to="c") == ("if (x < 1) {\n"
" c = x;\n"
"}\n"
"else {\n"
" c = Math.pow(x, 2);\n"
"}")
# Check that Piecewise without a True (default) condition error
expr = Piecewise((x, x < 1), (x**2, x > 1), (sin(x), x > 0))
raises(ValueError, lambda: jscode(expr))
def test_Matrix_printing():
# Test returning a Matrix
mat = Matrix([x * y, Piecewise((2 + x, y > 0), (y, True)), sin(z)])
A = MatrixSymbol('A', 3, 1)
assert jscode(mat, A) == ("A[0] = x*y;\n"
"if (y > 0) {\n"
" A[1] = x + 2;\n"
"}\n"
"else {\n"
" A[1] = y;\n"
"}\n"
"A[2] = Math.sin(z);")
# Test using MatrixElements in expressions
expr = Piecewise((2 * A[2, 0], x > 0),
(A[2, 0], True)) + sin(A[1, 0]) + A[0, 0]
assert jscode(expr) == ("((x > 0) ? (\n"
" 2*A[2]\n"
")\n"
": (\n"
" A[2]\n"
")) + Math.sin(A[1]) + A[0]")
# Test using MatrixElements in a Matrix
q = MatrixSymbol('q', 5, 1)
M = MatrixSymbol('M', 3, 3)
m = Matrix([[sin(q[1, 0]), 0, cos(q[2, 0])],
[q[1, 0] + q[2, 0], q[3, 0], 5],
[2 * q[4, 0] / q[1, 0],
sqrt(q[0, 0]) + 4, 0]])
assert jscode(m, M) == ("M[0] = Math.sin(q[1]);\n"
"M[1] = 0;\n"
"M[2] = Math.cos(q[2]);\n"
"M[3] = q[1] + q[2];\n"
"M[4] = q[3];\n"
"M[5] = 5;\n"
"M[6] = 2*q[4]/q[1];\n"
"M[7] = Math.sqrt(q[0]) + 4;\n"
"M[8] = 0;")
def test_dummy_loops():
i, m = symbols('i m', integer=True, cls=Dummy)
x = IndexedBase('x')
y = IndexedBase('y')
i = Idx(i, m)
expected = (
'for (var i_%(icount)i=0; i_%(icount)i<m_%(mcount)i; i_%(icount)i++){\n'
' y[i_%(icount)i] = x[i_%(icount)i];\n'
'}') % {
'icount': i.label.dummy_index,
'mcount': m.dummy_index
}
code = jscode(x[i], assign_to=y[i])
assert code == expected
def test_jscode_loops_matrix_vector():
n, m = symbols('n m', integer=True)
A = IndexedBase('A')
x = IndexedBase('x')
y = IndexedBase('y')
i = Idx('i', m)
j = Idx('j', n)
s = ('for (var i=0; i<m; i++){\n'
' y[i] = 0;\n'
'}\n'
'for (var i=0; i<m; i++){\n'
' for (var j=0; j<n; j++){\n'
' y[i] = A[n*i + j]*x[j] + y[i];\n'
' }\n'
'}')
c = jscode(A[i, j] * x[j], assign_to=y[i])
assert c == s
def test_jscode_loops_multiple_terms():
n, m, o, p = symbols('n m o p', integer=True)
a = IndexedBase('a')
b = IndexedBase('b')
c = IndexedBase('c')
y = IndexedBase('y')
i = Idx('i', m)
j = Idx('j', n)
k = Idx('k', o)
s0 = ('for (var i=0; i<m; i++){\n' ' y[i] = 0;\n' '}\n')
s1 = (
'for (var i=0; i<m; i++){\n'
' for (var j=0; j<n; j++){\n'
' for (var k=0; k<o; k++){\n'
' y[i] = b[j]*b[k]*c[%s] + y[i];\n' % (i*n*o + j*o + k) +\
' }\n'
' }\n'
'}\n'
)
s2 = (
'for (var i=0; i<m; i++){\n'
' for (var k=0; k<o; k++){\n'
' y[i] = a[%s]*b[k] + y[i];\n' % (i*o + k) +\
' }\n'
'}\n'
)
s3 = (
'for (var i=0; i<m; i++){\n'
' for (var j=0; j<n; j++){\n'
' y[i] = a[%s]*b[j] + y[i];\n' % (i*n + j) +\
' }\n'
'}\n'
)
c = jscode(b[j] * a[i, j] + b[k] * a[i, k] + b[j] * b[k] * c[i, j, k],
assign_to=y[i])
assert (c == s0 + s1 + s2 + s3[:-1] or c == s0 + s1 + s3 + s2[:-1]
or c == s0 + s2 + s1 + s3[:-1] or c == s0 + s2 + s3 + s1[:-1]
or c == s0 + s3 + s1 + s2[:-1] or c == s0 + s3 + s2 + s1[:-1])
def test_jscode_settings():
raises(TypeError, lambda: jscode(sin(x), method="garbage"))
def test_jscode_exceptions():
assert jscode(ceiling(x)) == "Math.ceil(x)"
assert jscode(Abs(x)) == "Math.abs(x)"
def test_jscode_functions():
assert jscode(sin(x)**cos(x)) == "Math.pow(Math.sin(x), Math.cos(x))"
assert jscode(sinh(x) * cosh(x)) == "Math.sinh(x)*Math.cosh(x)"
assert jscode(Max(x, y) + Min(x, y)) == "Math.max(x, y) + Math.min(x, y)"
assert jscode(tanh(x) * acosh(y)) == "Math.tanh(x)*Math.acosh(y)"
assert jscode(asin(x) - acos(y)) == "-Math.acos(y) + Math.asin(x)"
def test_jscode_Integer():
assert jscode(Integer(67)) == "67"
assert jscode(Integer(-1)) == "-1"
def test_jscode_sqrt():
assert jscode(sqrt(x)) == "Math.sqrt(x)"
assert jscode(x**0.5) == "Math.sqrt(x)"
assert jscode(x**(S.One / 3)) == "Math.cbrt(x)"
def test_jscode_Rational():
assert jscode(Rational(3, 7)) == "3/7"
assert jscode(Rational(18, 9)) == "2"
assert jscode(Rational(3, -7)) == "-3/7"
assert jscode(Rational(-3, -7)) == "3/7"
def test_printmethod():
assert jscode(Abs(x)) == "Math.abs(x)"
def test_jscode_constants_mathh():
assert jscode(exp(1)) == "Math.E"
assert jscode(pi) == "Math.PI"
assert jscode(oo) == "Number.POSITIVE_INFINITY"
assert jscode(-oo) == "Number.NEGATIVE_INFINITY"
