def _print_Pow(self, power):
if isinstance(power.exp, Basic.Half):
# If it's a square root
bpretty = self._print(power.base)
H = bpretty.height()
_zZ= xobj('/',1)
s2 = stringPict(xobj('\\',1)+_zZ+' '*(H-1))
for x in xrange(1, H):
s3 = stringPict(' '*(x+1) + _zZ + ' '*(H-(x+1)))
s2 = stringPict(*s2.above(s3))
s2.baseline = bpretty.baseline # vertical: each-to-each
s = prettyForm(hobj('_', 2+ bpretty.width()))
s = prettyForm(*bpretty.above(s))
s = prettyForm(*s.left(s2))
return s
elif power.exp == -1:
# Things like 1/x
return prettyForm("1") / self._print(power.base)
# None of the above special forms, do a standard power
b,e = power.as_base_exp()
return self._print(b)**self._print(e)
def _print_nth_root(self, base, expt):
bpretty = self._print(base)
# Construct root sign, start with the \/ shape
_zZ = xobj('/', 1)
rootsign = xobj('\\', 1) + _zZ
# Make exponent number to put above it
if isinstance(expt, C.Rational):
exp = str(expt.q)
if exp == '2':
exp = ''
else:
exp = str(expt.args[0])
exp = exp.ljust(2)
if len(exp) > 2:
rootsign = ' ' * (len(exp) - 2) + rootsign
# Stack the exponent
rootsign = stringPict(exp + '\n' + rootsign)
rootsign.baseline = 0
# Diagonal: length is one less than height of base
linelength = bpretty.height() - 1
diagonal = stringPict('\n'.join(' ' * (linelength - i - 1) + _zZ +
' ' * i for i in range(linelength)))
# Put baseline just below lowest line: next to exp
diagonal.baseline = linelength - 1
# Make the root symbol
rootsign = prettyForm(*rootsign.right(diagonal))
# Det the baseline to match contents to fix the height
# but if the height of bpretty is one, the rootsign must be one higher
rootsign.baseline = max(1, bpretty.baseline)
#build result
s = prettyForm(hobj('_', 2 + bpretty.width()))
s = prettyForm(*bpretty.above(s))
s = prettyForm(*s.left(rootsign))
return s
def _print_Product(self, expr):
func = expr.term
pretty_func = self._print(func)
horizontal_chr = xobj('_', 1)
corner_chr = xobj('_', 1)
vertical_chr = xobj('|', 1)
if self._use_unicode:
# use unicode corners
horizontal_chr = xobj('-', 1)
corner_chr = u'\u252c'
func_height = pretty_func.height()
first = True
max_upper = 0
sign_height = 0
for lim in expr.limits:
width = (func_height + 2) * 5 // 3 - 2
sign_lines = []
sign_lines.append(corner_chr + (horizontal_chr * width) +
corner_chr)
for i in range(func_height + 1):
sign_lines.append(vertical_chr + (' ' * width) + vertical_chr)
pretty_sign = stringPict('')
pretty_sign = prettyForm(*pretty_sign.stack(*sign_lines))
pretty_upper = self._print(lim[2])
pretty_lower = self._print(C.Equality(lim[0], lim[1]))
max_upper = max(max_upper, pretty_upper.height())
if first:
sign_height = pretty_sign.height()
pretty_sign = prettyForm(*pretty_sign.above(pretty_upper))
pretty_sign = prettyForm(*pretty_sign.below(pretty_lower))
if first:
pretty_func.baseline = 0
first = False
height = pretty_sign.height()
padding = stringPict('')
padding = prettyForm(*padding.stack(*[' '] * (height - 1)))
pretty_sign = prettyForm(*pretty_sign.right(padding))
pretty_func = prettyForm(*pretty_sign.right(pretty_func))
#pretty_func.baseline = 0
pretty_func.baseline = max_upper + sign_height // 2
return pretty_func
def _print_Product(self, expr):
func = expr.term
pretty_func = self._print(func)
horizontal_chr = xobj('_', 1)
corner_chr = xobj('_', 1)
vertical_chr = xobj('|', 1)
if self._use_unicode:
# use unicode corners
horizontal_chr = xobj('-', 1)
corner_chr = u'\u252c'
func_height = pretty_func.height()
first = True
max_upper = 0
sign_height = 0
for lim in expr.limits:
width = (func_height + 2) * 5 // 3 - 2
sign_lines = []
sign_lines.append(corner_chr+(horizontal_chr*width)+corner_chr)
for i in range(func_height+1):
sign_lines.append(vertical_chr+(' '*width)+vertical_chr)
pretty_sign = stringPict('')
pretty_sign = prettyForm(*pretty_sign.stack(*sign_lines))
pretty_upper = self._print(lim[2])
pretty_lower = self._print(C.Equality(lim[0], lim[1]))
max_upper = max(max_upper, pretty_upper.height())
if first:
sign_height = pretty_sign.height()
pretty_sign = prettyForm(*pretty_sign.above(pretty_upper))
pretty_sign = prettyForm(*pretty_sign.below(pretty_lower))
if first:
pretty_func.baseline = 0
first = False
height = pretty_sign.height()
padding = stringPict('')
padding = prettyForm(*padding.stack(*[' ']*(height-1)))
pretty_sign = prettyForm(*pretty_sign.right(padding))
pretty_func = prettyForm(*pretty_sign.right(pretty_func))
#pretty_func.baseline = 0
pretty_func.baseline = max_upper + sign_height//2
return pretty_func
def _print_Pow(self, power):
# square roots, other roots or n-th roots
# test for fraction 1/n or power x**-1
if power.is_commutative:
if (isinstance(power.exp, C.Rational) and power.exp.p == 1 and power.exp.q != 1) or (
isinstance(power.exp, C.Pow)
and isinstance(power.exp.args[0], C.Symbol)
and power.exp.args[1] == S.NegativeOne
):
bpretty = self._print(power.base)
# construct root sign, start with the \/ shape
_zZ = xobj("/", 1)
rootsign = xobj("\\", 1) + _zZ
# make exponent number to put above it
if isinstance(power.exp, C.Rational):
exp = str(power.exp.q)
if exp == "2":
exp = ""
else:
exp = str(power.exp.args[0])
exp = exp.ljust(2)
if len(exp) > 2:
rootsign = " " * (len(exp) - 2) + rootsign
# stack the exponent
rootsign = stringPict(exp + "\n" + rootsign)
rootsign.baseline = 0
# diagonal: length is one less than height of base
linelength = bpretty.height() - 1
diagonal = stringPict("\n".join(" " * (linelength - i - 1) + _zZ + " " * i for i in range(linelength)))
# put baseline just below lowest line: next to exp
diagonal.baseline = linelength - 1
# make the root symbol
rootsign = prettyForm(*rootsign.right(diagonal))
# set the baseline to match contents to fix the height
# but if the height of bpretty is one, the rootsign must be one higher
rootsign.baseline = max(1, bpretty.baseline)
# build result
s = prettyForm(hobj("_", 2 + bpretty.width()))
s = prettyForm(*bpretty.above(s))
s = prettyForm(*s.left(rootsign))
return s
elif power.exp.is_Rational and power.exp.is_negative:
# Things like 1/x
return prettyForm("1") / self._print(C.Pow(power.base, -power.exp))
# None of the above special forms, do a standard power
b, e = power.as_base_exp()
return self._print(b) ** self._print(e)
def _print_Pow(self, power):
# square roots, other roots or n-th roots
#test for fraction 1/n or power x**-1
if power.is_commutative:
if (isinstance(power.exp, C.Rational) and power.exp.p==1 and power.exp.q !=1) or \
( isinstance(power.exp, C.Pow) and
isinstance(power.exp.args[0], C.Symbol) and
power.exp.args[1]==S.NegativeOne):
bpretty = self._print(power.base)
#construct root sign, start with the \/ shape
_zZ = xobj('/', 1)
rootsign = xobj('\\', 1) + _zZ
#make exponent number to put above it
if isinstance(power.exp, C.Rational):
exp = str(power.exp.q)
if exp == '2': exp = ''
else: exp = str(power.exp.args[0])
exp = exp.ljust(2)
if len(exp) > 2: rootsign = ' ' * (len(exp) - 2) + rootsign
#stack the exponent
rootsign = stringPict(exp + '\n' + rootsign)
rootsign.baseline = 0
#diagonal: length is one less than height of base
linelength = bpretty.height() - 1
diagonal = stringPict('\n'.join(' ' * (linelength - i - 1) +
_zZ + ' ' * i
for i in range(linelength)))
#put baseline just below lowest line: next to exp
diagonal.baseline = linelength - 1
#make the root symbol
rootsign = prettyForm(*rootsign.right(diagonal))
#set the baseline to match contents to fix the height
#but if the height of bpretty is one, the rootsign must be one higher
rootsign.baseline = max(1, bpretty.baseline)
#build result
s = prettyForm(hobj('_', 2 + bpretty.width()))
s = prettyForm(*bpretty.above(s))
s = prettyForm(*s.left(rootsign))
return s
elif power.exp.is_Rational and power.exp.is_negative:
# Things like 1/x
return prettyForm("1") / self._print(
C.Pow(power.base, -power.exp))
# None of the above special forms, do a standard power
b, e = power.as_base_exp()
return self._print(b)**self._print(e)
def leftslash(self):
"""Precede object by a slash of the proper size.
"""
# XXX not used anywhere ?
height = max(self.baseline, self.height() - 1 - self.baseline) * 2 + 1
slash = "\n".join(" " * (height - i - 1) + xobj("/", 1) + " " * i for i in range(height))
return self.left(stringPict(slash, height // 2))
def leftslash(self):
"""Precede object by a slash of the proper size.
"""
# XXX not used anywhere ?
height = max(self.baseline, self.height() - 1 - self.baseline) * 2 + 1
slash = '\n'.join(' ' * (height - i - 1) + xobj('/', 1) + ' ' * i
for i in range(height))
return self.left(stringPict(slash, height // 2))
def _print_Product(self, expr):
func = expr.term
pretty_func = self._print(func)
horizontal_chr = xobj('_', 1)
corner_chr = xobj('_', 1)
vertical_chr = xobj('|', 1)
if self._use_unicode:
# use unicode corners
horizontal_chr = xobj('-', 1)
corner_chr = u'\u252c'
func_height = pretty_func.height()
width = (func_height + 2) * 5 // 3 - 2
sign_lines = []
sign_lines.append(corner_chr + (horizontal_chr * width) + corner_chr)
for i in range(func_height + 1):
sign_lines.append(vertical_chr + (' ' * width) + vertical_chr)
pretty_sign = stringPict('')
pretty_sign = prettyForm(*pretty_sign.stack(*sign_lines))
pretty_upper = self._print(expr.upper)
pretty_lower = self._print(C.Equality(expr.index, expr.lower))
pretty_sign = prettyForm(*pretty_sign.above(pretty_upper))
pretty_sign = prettyForm(*pretty_sign.below(pretty_lower))
height = pretty_sign.height()
padding = stringPict('')
padding = prettyForm(*padding.stack(*[' '] * (height - 1)))
pretty_sign = prettyForm(*pretty_sign.right(padding))
pretty_func.baseline = 0
pretty_func = prettyForm(*pretty_sign.right(pretty_func))
return pretty_func
def _print_Product(self, expr):
func = expr.term
pretty_func = self._print(func)
horizontal_chr = xobj('_', 1)
corner_chr = xobj('_', 1)
vertical_chr = xobj('|', 1)
if self._use_unicode:
# use unicode corners
horizontal_chr = xobj('-', 1)
corner_chr = u'\u252c'
func_height = pretty_func.height()
width = (func_height + 2) * 5 // 3 - 2
sign_lines = []
sign_lines.append(corner_chr+(horizontal_chr*width)+corner_chr)
for i in range(func_height+1):
sign_lines.append(vertical_chr+(' '*width)+vertical_chr)
pretty_sign = stringPict('')
pretty_sign = prettyForm(*pretty_sign.stack(*sign_lines))
pretty_upper = self._print(expr.upper)
pretty_lower = self._print(C.Equality(expr.index, expr.lower))
pretty_sign = prettyForm(*pretty_sign.above(pretty_upper))
pretty_sign = prettyForm(*pretty_sign.below(pretty_lower))
height = pretty_sign.height()
padding = stringPict('')
padding = prettyForm(*padding.stack(*[' ']*(height-1)))
pretty_sign = prettyForm(*pretty_sign.right(padding))
pretty_func.baseline = 0
pretty_func = prettyForm(*pretty_sign.right(pretty_func))
return pretty_func
def _print_nth_root (self, base, expt):
bpretty = self._print(base)
# Construct root sign, start with the \/ shape
_zZ = xobj('/',1)
rootsign = xobj('\\',1) + _zZ
# Make exponent number to put above it
if isinstance(expt, C.Rational):
exp = str(expt.q)
if exp == '2':
exp = ''
else:
exp = str(expt.args[0])
exp = exp.ljust(2)
if len(exp) > 2:
rootsign = ' '*(len(exp) - 2) + rootsign
# Stack the exponent
rootsign = stringPict(exp + '\n' + rootsign)
rootsign.baseline = 0
# Diagonal: length is one less than height of base
linelength = bpretty.height() - 1
diagonal = stringPict('\n'.join(
' '*(linelength - i - 1) + _zZ + ' '*i
for i in range(linelength)
))
# Put baseline just below lowest line: next to exp
diagonal.baseline = linelength - 1
# Make the root symbol
rootsign = prettyForm(*rootsign.right(diagonal))
# Det the baseline to match contents to fix the height
# but if the height of bpretty is one, the rootsign must be one higher
rootsign.baseline = max(1, bpretty.baseline)
#build result
s = prettyForm(hobj('_', 2 + bpretty.width()))
s = prettyForm(*bpretty.above(s))
s = prettyForm(*s.left(rootsign))
return s