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range.rb
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range.rb
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class Range
def bsearch(&cond)
b = self.begin
e = self.end
return to_enum(:bsearch) unless block_given?
if b.is_a?(Float) || e.is_a?(Float)
BSearch.float_search(b, e, exclude_end?, &cond)
else
BSearch.integer_search(b, e, exclude_end?, &cond)
end
end
class BSearch
def self.float_search(b, e, excl)
satisfied = nil
low = double_as_long(b.nil? ? -(Float::INFINITY) : b)
high = double_as_long(e.nil? ? Float::INFINITY : e)
high -= 1 if excl
org_high = high
while low < high
mid = if (high < 0) == (low < 0)
low + ((high - low) / 2)
elsif low < -high
-((-1 - low - high) / 2 + 1)
else
(low + high) / 2
end
val = long_as_double(mid)
begin # inlined bsearch check, keep these in sync
v = yield val
case v
when true
satisfied = val
smaller = true
when false, nil
smaller = false
when Numeric
cmp = v <=> 0
return val if cmp == 0
smaller = cmp < 0
else
cond_error(v)
end
end
if smaller
high = mid
else
low = mid + 1
end
end
if low == org_high
val = long_as_double(low)
begin # inlined bsearch check, keep these in sync
v = yield val
case v
when true
satisfied = val
smaller = true
when false, nil
smaller = false
when Numeric
cmp = v <=> 0
return val if cmp == 0
smaller = cmp < 0
else
cond_error(v)
end
end
return nil unless smaller
end
satisfied
end
def self.integer_search(b, e, excl, &cond)
b_int = b.is_a?(Integer)
e_int = e.is_a?(Integer)
if b_int
if e_int
return binary_search(b, e, excl, &cond)
elsif e.nil?
return integer_begin(b, &cond)
end
elsif e_int
if b.nil?
return integer_end(e, &cond)
end
end
raise TypeError, "can't do binary search for #{b.class}"
end
private
def self.binary_search(low, high, excl)
satisfied = nil
high -= 1 if excl
org_high = high
while (low <=> high) < 0
mid = (high + low) / 2
val = mid
begin # inlined bsearch check, keep these in sync
v = yield val
case v
when true
satisfied = val
smaller = true
when false, nil
smaller = false
when Numeric
cmp = v <=> 0
return val if cmp == 0
smaller = cmp < 0
else
cond_error(v)
end
end
if smaller
high = mid
else
low = mid + 1
end
end
if low == org_high
val = low
begin # inlined bsearch check, keep these in sync
v = yield val
case v
when true
satisfied = val
smaller = true
when false, nil
smaller = false
when Numeric
cmp = v <=> 0
return val if cmp == 0
smaller = cmp < 0
else
cond_error(v)
end
end
return nil unless smaller
end
satisfied
end
def self.integer_begin(b, &cond)
diff = 1
while true
mid = b + diff
val = mid
begin # inlined bsearch check, keep these in sync
v = yield val
case v
when true
smaller = true
when false, nil
smaller = false
when Numeric
cmp = v <=> 0
return val if cmp == 0
smaller = cmp < 0
else
cond_error(v)
end
end
return binary_search(b, mid, false, &cond) if smaller
diff *= 2
end
end
def self.integer_end(e, &cond)
diff = -1
while true
mid = e + diff
val = mid
begin # inlined bsearch check, keep these in sync
v = yield val
case v
when true
smaller = true
when false, nil
smaller = false
when Numeric
cmp = v <=> 0
return val if cmp == 0
smaller = cmp < 0
else
cond_error(v)
end
end
return binary_search(mid, e, false, &cond) unless smaller
diff *= 2
end
end
def self.double_as_long(double)
below_zero = double < 0
double = abs(double) if below_zero
long = double_to_long_bits(double)
below_zero ? -long : long
end
def self.long_as_double(long)
below_zero = long < 0
long = -long if below_zero
double = long_bits_to_double(long)
below_zero ? -double : double
end
def self.cond_error(v)
raise TypeError, "wrong argument type #{v.class} (must be numeric, true, false or nil)"
end
end
private_constant :BSearch
end