Commit bdea94a6 authored by Nick Mathewson's avatar Nick Mathewson 🤹
Browse files

Move floating-point math functions into a new lib/math

parent 6178a9f7
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+2 −0
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@@ -187,6 +187,8 @@ uptime-*.json
/src/lib/libtor-log-testing.a
/src/lib/libtor-malloc.a
/src/lib/libtor-malloc-testing.a
/src/lib/libtor-math.a
/src/lib/libtor-math-testing.a
/src/lib/libtor-memarea.a
/src/lib/libtor-memarea-testing.a
/src/lib/libtor-net.a
+2 −0
Original line number Diff line number Diff line
@@ -48,6 +48,7 @@ TOR_UTIL_LIBS = \
	src/lib/libtor-net.a \
        src/lib/libtor-thread.a \
        src/lib/libtor-memarea.a \
	src/lib/libtor-math.a \
        src/lib/libtor-log.a \
        src/lib/libtor-lock.a \
        src/lib/libtor-fdio.a \
@@ -71,6 +72,7 @@ TOR_UTIL_TESTING_LIBS = \
	src/lib/libtor-net-testing.a \
        src/lib/libtor-thread-testing.a \
        src/lib/libtor-memarea-testing.a \
	src/lib/libtor-math-testing.a \
        src/lib/libtor-log-testing.a \
        src/lib/libtor-lock-testing.a \
        src/lib/libtor-fdio-testing.a \
+0 −158
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@@ -127,100 +127,6 @@ ENABLE_GCC_WARNING(aggregate-return)
 * Math
 * ===== */

/**
 * Returns the natural logarithm of d base e.  We defined this wrapper here so
 * to avoid conflicts with old versions of tor_log(), which were named log().
 */
double
tor_mathlog(double d)
{
  return log(d);
}

/** Return the long integer closest to <b>d</b>. We define this wrapper
 * here so that not all users of math.h need to use the right incantations
 * to get the c99 functions. */
long
tor_lround(double d)
{
#if defined(HAVE_LROUND)
  return lround(d);
#elif defined(HAVE_RINT)
  return (long)rint(d);
#else
  return (long)(d > 0 ? d + 0.5 : ceil(d - 0.5));
#endif /* defined(HAVE_LROUND) || ... */
}

/** Return the 64-bit integer closest to d.  We define this wrapper here so
 * that not all users of math.h need to use the right incantations to get the
 * c99 functions. */
int64_t
tor_llround(double d)
{
#if defined(HAVE_LLROUND)
  return (int64_t)llround(d);
#elif defined(HAVE_RINT)
  return (int64_t)rint(d);
#else
  return (int64_t)(d > 0 ? d + 0.5 : ceil(d - 0.5));
#endif /* defined(HAVE_LLROUND) || ... */
}

/** Transform a random value <b>p</b> from the uniform distribution in
 * [0.0, 1.0[ into a Laplace distributed value with location parameter
 * <b>mu</b> and scale parameter <b>b</b>. Truncate the final result
 * to be an integer in [INT64_MIN, INT64_MAX]. */
int64_t
sample_laplace_distribution(double mu, double b, double p)
{
  double result;
  tor_assert(p >= 0.0 && p < 1.0);

  /* This is the "inverse cumulative distribution function" from:
   * http://en.wikipedia.org/wiki/Laplace_distribution */
  if (p <= 0.0) {
    /* Avoid taking log(0.0) == -INFINITY, as some processors or compiler
     * options can cause the program to trap. */
    return INT64_MIN;
  }

  result = mu - b * (p > 0.5 ? 1.0 : -1.0)
                  * tor_mathlog(1.0 - 2.0 * fabs(p - 0.5));

  return clamp_double_to_int64(result);
}

/** Add random noise between INT64_MIN and INT64_MAX coming from a Laplace
 * distribution with mu = 0 and b = <b>delta_f</b>/<b>epsilon</b> to
 * <b>signal</b> based on the provided <b>random</b> value in [0.0, 1.0[.
 * The epsilon value must be between ]0.0, 1.0]. delta_f must be greater
 * than 0. */
int64_t
add_laplace_noise(int64_t signal_, double random_, double delta_f,
                  double epsilon)
{
  int64_t noise;

  /* epsilon MUST be between ]0.0, 1.0] */
  tor_assert(epsilon > 0.0 && epsilon <= 1.0);
  /* delta_f MUST be greater than 0. */
  tor_assert(delta_f > 0.0);

  /* Just add noise, no further signal */
  noise = sample_laplace_distribution(0.0,
                                      delta_f / epsilon,
                                      random_);

  /* Clip (signal + noise) to [INT64_MIN, INT64_MAX] */
  if (noise > 0 && INT64_MAX - noise < signal_)
    return INT64_MAX;
  else if (noise < 0 && INT64_MIN - noise > signal_)
    return INT64_MIN;
  else
    return signal_ + noise;
}

/* =====
 * String manipulation
 * ===== */
@@ -389,67 +295,3 @@ load_windows_system_library(const TCHAR *library_name)
  return LoadLibrary(path);
}
#endif /* defined(_WIN32) */

/** Cast a given double value to a int64_t. Return 0 if number is NaN.
 * Returns either INT64_MIN or INT64_MAX if number is outside of the int64_t
 * range. */
int64_t
clamp_double_to_int64(double number)
{
  int exponent;

#if defined(MINGW_ANY) && GCC_VERSION >= 409
/*
  Mingw's math.h uses gcc's __builtin_choose_expr() facility to declare
  isnan, isfinite, and signbit.  But as implemented in at least some
  versions of gcc, __builtin_choose_expr() can generate type warnings
  even from branches that are not taken.  So, suppress those warnings.
*/
#define PROBLEMATIC_FLOAT_CONVERSION_WARNING
DISABLE_GCC_WARNING(float-conversion)
#endif /* defined(MINGW_ANY) && GCC_VERSION >= 409 */

/*
  With clang 4.0 we apparently run into "double promotion" warnings here,
  since clang thinks we're promoting a double to a long double.
 */
#if defined(__clang__)
#if __has_warning("-Wdouble-promotion")
#define PROBLEMATIC_DOUBLE_PROMOTION_WARNING
DISABLE_GCC_WARNING(double-promotion)
#endif
#endif /* defined(__clang__) */

  /* NaN is a special case that can't be used with the logic below. */
  if (isnan(number)) {
    return 0;
  }

  /* Time to validate if result can overflows a int64_t value. Fun with
   * float! Find that exponent exp such that
   *    number == x * 2^exp
   * for some x with abs(x) in [0.5, 1.0). Note that this implies that the
   * magnitude of number is strictly less than 2^exp.
   *
   * If number is infinite, the call to frexp is legal but the contents of
   * are exponent unspecified. */
  frexp(number, &exponent);

  /* If the magnitude of number is strictly less than 2^63, the truncated
   * version of number is guaranteed to be representable. The only
   * representable integer for which this is not the case is INT64_MIN, but
   * it is covered by the logic below. */
  if (isfinite(number) && exponent <= 63) {
    return (int64_t)number;
  }

  /* Handle infinities and finite numbers with magnitude >= 2^63. */
  return signbit(number) ? INT64_MIN : INT64_MAX;

#ifdef PROBLEMATIC_DOUBLE_PROMOTION_WARNING
ENABLE_GCC_WARNING(double-promotion)
#endif
#ifdef PROBLEMATIC_FLOAT_CONVERSION_WARNING
ENABLE_GCC_WARNING(float-conversion)
#endif
}
+0 −7
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@@ -62,13 +62,6 @@ void tor_log_mallinfo(int severity);
#define bool_neq(a,b) (!(a)!=!(b))

/* Math functions */
double tor_mathlog(double d) ATTR_CONST;
long tor_lround(double d) ATTR_CONST;
int64_t tor_llround(double d) ATTR_CONST;
int64_t sample_laplace_distribution(double mu, double b, double p);
int64_t add_laplace_noise(int64_t signal, double random, double delta_f,
                          double epsilon);
int64_t clamp_double_to_int64(double number);

/* String manipulation */

+1 −0
Original line number Diff line number Diff line
@@ -14,6 +14,7 @@ include src/lib/include.libdonna.am
include src/lib/intmath/include.am
include src/lib/lock/include.am
include src/lib/log/include.am
include src/lib/math/include.am
include src/lib/memarea/include.am
include src/lib/malloc/include.am
include src/lib/net/include.am
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