# another product.
# Mathematical operations
-package math
+module math
import kernel
+import collection
+
+in "C header" `{
+#include <math.h>
+`}
redef class Int
- meth rand: Int is extern "kernel_Int_Int_rand_0"
+ # Returns a random `Int` in `[0 .. self[`.
+ fun rand: Int is extern "kernel_Int_Int_rand_0"
+
+ # Returns the result of a binary AND operation on `self` and `i`
+ #
+ # assert 0x10.bin_and(0x01) == 0
+ fun bin_and(i: Int): Int is extern "kernel_Int_Int_binand_0"
+
+ # Returns the result of a binary OR operation on `self` and `i`
+ #
+ # assert 0x10.bin_or(0x01) == 0x11
+ fun bin_or(i: Int): Int is extern "kernel_Int_Int_binor_0"
+
+ # Returns the result of a binary XOR operation on `self` and `i`
+ #
+ # assert 0x101.bin_xor(0x110) == 0x11
+ fun bin_xor(i: Int): Int is extern "kernel_Int_Int_binxor_0"
+
+ # Returns the 1's complement of `self`
+ #
+ # assert 0x2F.bin_not == -48
+ fun bin_not: Int is extern "kernel_Int_Int_binnot_0"
+
+ # Returns the square root of `self`
+ #
+ # assert 16.sqrt == 4
+ fun sqrt: Int `{ return sqrt(recv); `}
+
+ # Returns the greatest common divisor of `self` and `o`
+ #
+ # assert 54.gcd(24) == 6
+ # assert -54.gcd(-24) == 6
+ # assert 54.gcd(-24) == -6
+ # assert -54.gcd(24) == -6
+ # assert 12.gcd(6) == 6
+ fun gcd(o: Int): Int
+ do
+ if self < 0 then return -(-self).gcd(o)
+ if o < 0 then return -(self.gcd(-o))
+ if self == 0 or o == self then return o
+ if o == 0 then return self
+ if self.bin_and(1) == 0 then
+ if o.bin_and(1) == 1 then
+ return self.rshift(1).gcd(o)
+ else
+ return self.rshift(1).gcd(o.rshift(1)).lshift(1)
+ end
+ end
+ if o.bin_and(1) == 0 then return self.gcd(o.rshift(1))
+ if self > o then return (self - o).rshift(1).gcd(o)
+ return (o - self).rshift(1).gcd(self)
+ end
end
redef class Float
- meth sqrt: Float is extern "kernel_Float_Float_sqrt_0"
- meth cos: Float is extern "kernel_Float_Float_cos_0"
- meth sin: Float is extern "kernel_Float_Float_sin_0"
- meth tan: Float is extern "kernel_Float_Float_tan_0"
- meth acos: Float is extern "kernel_Float_Float_acos_0"
- meth asin: Float is extern "kernel_Float_Float_asin_0"
- meth atan: Float is extern "kernel_Float_Float_atan_0"
-
- meth pow(e: Float): Float is extern "kernel_Float_Float_pow_1"
- meth log: Float is extern "kernel_Float_Float_log_0"
- meth exp: Float is extern "kernel_Float_Float_exp_0"
+ fun sqrt: Float is extern "kernel_Float_Float_sqrt_0"
+ fun cos: Float is extern "kernel_Float_Float_cos_0"
+ fun sin: Float is extern "kernel_Float_Float_sin_0"
+ fun tan: Float is extern "kernel_Float_Float_tan_0"
+ fun acos: Float is extern "kernel_Float_Float_acos_0"
+ fun asin: Float is extern "kernel_Float_Float_asin_0"
+ fun atan: Float is extern "kernel_Float_Float_atan_0"
+ fun abs: Float `{ return fabs(recv); `}
+
+ fun pow(e: Float): Float is extern "kernel_Float_Float_pow_1"
+ fun log: Float is extern "kernel_Float_Float_log_0"
+ fun exp: Float is extern "kernel_Float_Float_exp_0"
+
+ # assert 1.1.ceil == 2.0
+ # assert 1.9.ceil == 2.0
+ # assert 2.0.ceil == 2.0
+ # assert (-1.5).ceil == -1.0
+ fun ceil: Float `{ return ceil(recv); `}
+
+ # assert 1.1.floor == 1.0
+ # assert 1.9.floor == 1.0
+ # assert 2.0.floor == 2.0
+ # assert (-1.5).floor == -2.0
+ fun floor: Float `{ return floor(recv); `}
- meth rand: Float is extern "kernel_Float_Float_rand_0"
+ # Returns a random `Float` in `[0.0 .. self[`.
+ fun rand: Float is extern "kernel_Float_Float_rand_0"
+ fun hypot_with( b : Float ) : Float is extern "hypotf"
+
+ fun is_nan: Bool is extern "isnan"
+
+ # Is the float an infinite value
+ # this function returns:
+ #
+ # * 1 if self is positive infinity
+ # * -1 if self is negative infinity
+ # * 0 otherwise
+ fun is_inf: Int do
+ if is_inf_extern then
+ if self < 0.0 then return -1
+ return 1
+ end
+ return 0
+ end
+
+ private fun is_inf_extern: Bool is extern "isinf"
+end
+
+redef class Collection[ E ]
+ # Return a random element form the collection
+ # There must be at least one element in the collection
+ fun rand: E
+ do
+ if is_empty then abort
+ var rand_index = length.rand
+
+ for e in self do
+ if rand_index == 0 then return e
+ rand_index -= 1
+ end
+ abort
+ end
end
-meth atan2(x: Float, y: Float): Float is extern "kernel_Any_Any_atan2_2"
-meth pi: Float is extern "kernel_Any_Any_pi_0"
-meth srand_from(x: Int) is extern "kernel_Any_Any_srand_from_1"
-meth srand is extern "kernel_Any_Any_srand_0"
+fun atan2(x: Float, y: Float): Float is extern "kernel_Any_Any_atan2_2"
+fun pi: Float is extern "kernel_Any_Any_pi_0"
+fun srand_from(x: Int) is extern "kernel_Any_Any_srand_from_1"
+fun srand is extern "kernel_Any_Any_srand_0"
nitlanguage / nit.git / blobdiff