9d2b2bf817133051400ae9514f394ebff72bdf72
1 # This file is part of NIT ( http://www.nitlanguage.org ).
3 # Copyright 2004-2008 Jean Privat <jean@pryen.org>
5 # This file is free software, which comes along with NIT. This software is
6 # distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;
7 # without even the implied warranty of MERCHANTABILITY or FITNESS FOR A
8 # PARTICULAR PURPOSE. You can modify it is you want, provided this header
9 # is kept unaltered, and a notification of the changes is added.
10 # You are allowed to redistribute it and sell it, alone or is a part of
13 # Mathematical operations
24 # Returns a random `Int` in `[0 .. self[`.
25 fun rand
: Int is extern "kernel_Int_Int_rand_0"
27 # Returns the result of a binary AND operation on `self` and `i`
29 # assert 0x10.bin_and(0x01) == 0
30 fun bin_and
(i
: Int): Int is extern "kernel_Int_Int_binand_0"
32 # Returns the result of a binary OR operation on `self` and `i`
34 # assert 0x10.bin_or(0x01) == 0x11
35 fun bin_or
(i
: Int): Int is extern "kernel_Int_Int_binor_0"
37 # Returns the result of a binary XOR operation on `self` and `i`
39 # assert 0x101.bin_xor(0x110) == 0x11
40 fun bin_xor
(i
: Int): Int is extern "kernel_Int_Int_binxor_0"
42 # Returns the 1's complement of `self`
44 # assert 0x2F.bin_not == -48
45 fun bin_not
: Int is extern "kernel_Int_Int_binnot_0"
47 # Returns the square root of `self`
50 fun sqrt
: Int `{ return sqrt(recv); `}
52 # Returns the greatest common divisor of `self` and `o
`
54 # assert 54.gcd(24) == 6
55 # assert -54.gcd(-24) == 6
56 # assert 54.gcd(-24) == -6
57 # assert -54.gcd(24) == -6
58 # assert 12.gcd(6) == 6
61 if self < 0 then return -(-self).gcd(o)
62 if o < 0 then return -(self.gcd(-o))
63 if self == 0 or o == self then return o
64 if o == 0 then return self
65 if self.bin_and(1) == 0 then
66 if o.bin_and(1) == 1 then
67 return self.rshift(1).gcd(o)
69 return self.rshift(1).gcd(o.rshift(1)).lshift(1)
72 if o.bin_and(1) == 0 then return self.gcd(o.rshift(1))
73 if self > o then return (self - o).rshift(1).gcd(o)
74 return (o - self).rshift(1).gcd(self)
80 fun is_even: Bool do return self % 2 == 0
84 # assert not 13.is_even
85 fun is_odd: Bool do return not is_even
87 # Returns the `self` raised to the power of `e
`.
92 return self.to_f.pow(e.to_f).to_i
95 # The factorial of `self` (aka `self!`)
97 # Returns `1 * 2 * 3 * ... * self-1
* self`
99 # assert 0.factorial == 1 # by convention for an empty product
100 # assert 1.factorial == 1
101 # assert 4.factorial == 24
102 # assert 9.factorial == 362880
117 fun sqrt: Float is extern "kernel_Float_Float_sqrt_0"
118 fun cos: Float is extern "kernel_Float_Float_cos_0"
119 fun sin: Float is extern "kernel_Float_Float_sin_0"
120 fun tan: Float is extern "kernel_Float_Float_tan_0"
121 fun acos: Float is extern "kernel_Float_Float_acos_0"
122 fun asin: Float is extern "kernel_Float_Float_asin_0"
123 fun atan: Float is extern "kernel_Float_Float_atan_0"
124 fun abs: Float `{ return fabs(recv); `}
126 fun pow
(e
: Float): Float is extern "kernel_Float_Float_pow_1"
127 fun log
: Float is extern "kernel_Float_Float_log_0"
128 fun exp
: Float is extern "kernel_Float_Float_exp_0"
130 # assert 1.1.ceil == 2.0
131 # assert 1.9.ceil == 2.0
132 # assert 2.0.ceil == 2.0
133 # assert (-1.5).ceil == -1.0
134 fun ceil
: Float `{ return ceil(recv); `}
136 # assert 1.1.floor == 1.0
137 # assert 1.9.floor == 1.0
138 # assert 2.0.floor == 2.0
139 # assert (-1.5).floor == -2.0
140 fun floor: Float `{ return floor(recv); `}
142 # Returns a random `Float` in `[0.0 .. self[`.
143 fun rand
: Float is extern "kernel_Float_Float_rand_0"
144 fun hypot_with
( b
: Float ) : Float is extern "hypotf"
146 fun is_nan
: Bool is extern "isnan"
148 # Is the float an infinite value
149 # this function returns:
151 # * 1 if self is positive infinity
152 # * -1 if self is negative infinity
155 if is_inf_extern
then
156 if self < 0.0 then return -1
162 private fun is_inf_extern
: Bool is extern "isinf"
165 redef class Collection[ E
]
166 # Return a random element form the collection
167 # There must be at least one element in the collection
170 if is_empty
then abort
171 var rand_index
= length
.rand
174 if rand_index
== 0 then return e
188 fun atan2
(x
: Float, y
: Float): Float is extern "kernel_Any_Any_atan2_2"
189 fun pi
: Float is extern "kernel_Any_Any_pi_0"
190 fun srand_from
(x
: Int) is extern "kernel_Any_Any_srand_from_1"
191 fun srand
is extern "kernel_Any_Any_srand_0"