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 <h3 class="section">2.33 <code>rand48</code>, <code>drand48</code>, <code>erand48</code>, <code>lrand48</code>, <code>nrand48</code>, <code>mrand48</code>, <code>jrand48</code>, <code>srand48</code>, <code>seed48</code>, <code>lcong48</code>&mdash;pseudo-random number generators and initialization routines</h3>

 <p><a name="index-rand48-69"></a><a name="index-drand48-70"></a><a name="index-erand48-71"></a><a name="index-lrand48-72"></a><a name="index-nrand48-73"></a><a name="index-mrand48-74"></a><a name="index-jrand48-75"></a><a name="index-srand48-76"></a><a name="index-seed48-77"></a><a name="index-lcong48-78"></a><strong>Synopsis</strong>
 <pre class="example">     #include &lt;stdlib.h&gt;
      double drand48(void);
      double erand48(unsigned short <var>xseed</var>[3]);
      long lrand48(void);
      long nrand48(unsigned short <var>xseed</var>[3]);
      long mrand48(void);
      long jrand48(unsigned short <var>xseed</var>[3]);
      void srand48(long <var>seed</var>);
      unsigned short *seed48(unsigned short <var>xseed</var>[3]);
      void lcong48(unsigned short <var>p</var>[7]);

 </pre>
    <p><strong>Description</strong><br>
 The <code>rand48</code> family of functions generates pseudo-random numbers
 using a linear congruential algorithm working on integers 48 bits in size.
 The particular formula employed is
 r(n+1) = (a * r(n) + c) mod m
 where the default values are
 for the multiplicand a = 0xfdeece66d = 25214903917 and
 the addend c = 0xb = 11. The modulo is always fixed at m = 2 ** 48.
 r(n) is called the seed of the random number generator.

    <p>For all the six generator routines described next, the first
 computational step is to perform a single iteration of the algorithm.

    <p><code>drand48</code> and <code>erand48</code>
 return values of type double. The full 48 bits of r(n+1) are
 loaded into the mantissa of the returned value, with the exponent set
 such that the values produced lie in the interval [0.0, 1.0].

    <p><code>lrand48</code> and <code>nrand48</code>
 return values of type long in the range
 [0, 2**31-1]. The high-order (31) bits of
 r(n+1) are loaded into the lower bits of the returned value, with
 the topmost (sign) bit set to zero.

    <p><code>mrand48</code> and <code>jrand48</code>
 return values of type long in the range
 [-2**31, 2**31-1]. The high-order (32) bits of
 r(n+1) are loaded into the returned value.

    <p><code>drand48</code>, <code>lrand48</code>, and <code>mrand48</code>
 use an internal buffer to store r(n). For these functions
 the initial value of r(0) = 0x1234abcd330e = 20017429951246.

    <p>On the other hand, <code>erand48</code>, <code>nrand48</code>, and <code>jrand48</code>
 use a user-supplied buffer to store the seed r(n),
 which consists of an array of 3 shorts, where the zeroth member
 holds the least significant bits.

    <p>All functions share the same multiplicand and addend.

    <p><code>srand48</code> is used to initialize the internal buffer r(n) of
 <code>drand48</code>, <code>lrand48</code>, and <code>mrand48</code>
 such that the 32 bits of the seed value are copied into the upper 32 bits
 of r(n), with the lower 16 bits of r(n) arbitrarily being set to 0x330e.
 Additionally, the constant multiplicand and addend of the algorithm are
 reset to the default values given above.

    <p><code>seed48</code> also initializes the internal buffer r(n) of
 <code>drand48</code>, <code>lrand48</code>, and <code>mrand48</code>,
 but here all 48 bits of the seed can be specified in an array of 3 shorts,
 where the zeroth member specifies the lowest bits. Again,
 the constant multiplicand and addend of the algorithm are
 reset to the default values given above.
 <code>seed48</code> returns a pointer to an array of 3 shorts which contains
 the old seed.
 This array is statically allocated, thus its contents are lost after
 each new call to <code>seed48</code>.

    <p>Finally, <code>lcong48</code> allows full control over the multiplicand and
 addend used in <code>drand48</code>, <code>erand48</code>, <code>lrand48</code>, <code>nrand48</code>,
 <code>mrand48</code>, and <code>jrand48</code>,
 and the seed used in <code>drand48</code>, <code>lrand48</code>, and <code>mrand48</code>.
 An array of 7 shorts is passed as parameter; the first three shorts are
 used to initialize the seed; the second three are used to initialize the
 multiplicand; and the last short is used to initialize the addend.
 It is thus not possible to use values greater than 0xffff as the addend.

    <p>Note that all three methods of seeding the random number generator
 always also set the multiplicand and addend for any of the six
 generator calls.

    <p>For a more powerful random number generator, see <code>random</code>.

    <p><br>
 <strong>Portability</strong><br>
 SUS requires these functions.

    <p>No supporting OS subroutines are required.

    <p><br>

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	<h3 class="section">2.33 <code>rand48</code>, <code>drand48</code>, <code>erand48</code>, <code>lrand48</code>, <code>nrand48</code>, <code>mrand48</code>, <code>jrand48</code>, <code>srand48</code>, <code>seed48</code>, <code>lcong48</code>—pseudo-random number generators and initialization routines</h3>

	<p><a name="index-rand48-69"></a><a name="index-drand48-70"></a><a name="index-erand48-71"></a><a name="index-lrand48-72"></a><a name="index-nrand48-73"></a><a name="index-mrand48-74"></a><a name="index-jrand48-75"></a><a name="index-srand48-76"></a><a name="index-seed48-77"></a><a name="index-lcong48-78"></a><strong>Synopsis</strong>
	<pre class="example"> #include <stdlib.h>
	double drand48(void);
	double erand48(unsigned short <var>xseed</var>[3]);
	long lrand48(void);
	long nrand48(unsigned short <var>xseed</var>[3]);
	long mrand48(void);
	long jrand48(unsigned short <var>xseed</var>[3]);
	void srand48(long <var>seed</var>);
	unsigned short *seed48(unsigned short <var>xseed</var>[3]);
	void lcong48(unsigned short <var>p</var>[7]);

	</pre>
	<p><strong>Description</strong><br>
	The <code>rand48</code> family of functions generates pseudo-random numbers
	using a linear congruential algorithm working on integers 48 bits in size.
	The particular formula employed is
	r(n+1) = (a * r(n) + c) mod m
	where the default values are
	for the multiplicand a = 0xfdeece66d = 25214903917 and
	the addend c = 0xb = 11. The modulo is always fixed at m = 2 ** 48.
	r(n) is called the seed of the random number generator.

	<p>For all the six generator routines described next, the first
	computational step is to perform a single iteration of the algorithm.

	<p><code>drand48</code> and <code>erand48</code>
	return values of type double. The full 48 bits of r(n+1) are
	loaded into the mantissa of the returned value, with the exponent set
	such that the values produced lie in the interval [0.0, 1.0].

	<p><code>lrand48</code> and <code>nrand48</code>
	return values of type long in the range
	[0, 2**31-1]. The high-order (31) bits of
	r(n+1) are loaded into the lower bits of the returned value, with
	the topmost (sign) bit set to zero.

	<p><code>mrand48</code> and <code>jrand48</code>
	return values of type long in the range
	[-231, 231-1]. The high-order (32) bits of
	r(n+1) are loaded into the returned value.

	<p><code>drand48</code>, <code>lrand48</code>, and <code>mrand48</code>
	use an internal buffer to store r(n). For these functions
	the initial value of r(0) = 0x1234abcd330e = 20017429951246.

	<p>On the other hand, <code>erand48</code>, <code>nrand48</code>, and <code>jrand48</code>
	use a user-supplied buffer to store the seed r(n),
	which consists of an array of 3 shorts, where the zeroth member
	holds the least significant bits.

	<p>All functions share the same multiplicand and addend.

	<p><code>srand48</code> is used to initialize the internal buffer r(n) of
	<code>drand48</code>, <code>lrand48</code>, and <code>mrand48</code>
	such that the 32 bits of the seed value are copied into the upper 32 bits
	of r(n), with the lower 16 bits of r(n) arbitrarily being set to 0x330e.
	Additionally, the constant multiplicand and addend of the algorithm are
	reset to the default values given above.

	<p><code>seed48</code> also initializes the internal buffer r(n) of
	<code>drand48</code>, <code>lrand48</code>, and <code>mrand48</code>,
	but here all 48 bits of the seed can be specified in an array of 3 shorts,
	where the zeroth member specifies the lowest bits. Again,
	the constant multiplicand and addend of the algorithm are
	reset to the default values given above.
	<code>seed48</code> returns a pointer to an array of 3 shorts which contains
	the old seed.
	This array is statically allocated, thus its contents are lost after
	each new call to <code>seed48</code>.

	<p>Finally, <code>lcong48</code> allows full control over the multiplicand and
	addend used in <code>drand48</code>, <code>erand48</code>, <code>lrand48</code>, <code>nrand48</code>,
	<code>mrand48</code>, and <code>jrand48</code>,
	and the seed used in <code>drand48</code>, <code>lrand48</code>, and <code>mrand48</code>.
	An array of 7 shorts is passed as parameter; the first three shorts are
	used to initialize the seed; the second three are used to initialize the
	multiplicand; and the last short is used to initialize the addend.
	It is thus not possible to use values greater than 0xffff as the addend.

	<p>Note that all three methods of seeding the random number generator
	always also set the multiplicand and addend for any of the six
	generator calls.

	<p>For a more powerful random number generator, see <code>random</code>.

	<p><br>
	<strong>Portability</strong><br>
	SUS requires these functions.

	<p>No supporting OS subroutines are required.

	<p><br>

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