| mpfr_lib Class |
Represents all of the functions of the GNU MPFR library.
Inheritance HierarchyNamespace: Math.Mpfr.Native
Assembly: Math.Mpfr.Native (in Math.Mpfr.Native.dll) Version: 1.0.0.0 (1.0.0.0)
SyntaxThe mpfr_lib type exposes the following members.
Methods| Name | Description | |
|---|---|---|
   | mpfr_abs |
Set rop to the absolute value of op rounded in the direction rnd.
|
| mpfr_acos |
Set rop to the arc-cosine of op rounded in the direction rnd.
|
| mpfr_acosh |
Set rop to the inverse hyperbolic cosine of op rounded in the direction rnd.
|
| mpfr_add |
Set rop to op1 + op2 rounded in the direction rnd.
|
| mpfr_add_d |
Set rop to op1 + op2 rounded in the direction rnd.
|
| mpfr_add_q |
Set rop to op1 + op2 rounded in the direction rnd.
|
| mpfr_add_si |
Set rop to op1 + op2 rounded in the direction rnd.
|
| mpfr_add_ui |
Set rop to op1 + op2 rounded in the direction rnd.
|
| mpfr_add_z |
Set rop to op1 + op2 rounded in the direction rnd.
|
| mpfr_agm |
Set rop to the arithmetic-geometric mean of op1 and op2 rounded in the direction rnd.
|
| mpfr_ai |
Set rop to the value of the Airy function Ai on x rounded in the direction rnd.
|
| mpfr_asin |
Set rop to the arc-sine of op rounded in the direction rnd.
|
| mpfr_asinh |
Set rop to the inverse hyperbolic sine of op rounded in the direction rnd.
|
| mpfr_asprintf |
Write output as a null terminated string in a block of memory allocated using the allocation function (see GNU MPFR - Memory Handling).
|
| mpfr_atan |
Set rop to the arc-tangent of op rounded in the direction rnd.
|
| mpfr_atan2 |
Set rop to the arc-tangent2 of y and x rounded in the direction rnd.
|
| mpfr_atanh |
Set rop to the inverse hyperbolic tangent of op rounded in the direction rnd.
|
| mpfr_beta |
Set rop to the value of the Beta function at arguments op1 and op2, rounded in the direction rnd.
|
| mpfr_buildopt_decimal_p |
Return a non-zero value if MPFR was compiled with decimal float support, return zero otherwise.
|
| mpfr_buildopt_float128_p |
Return a non-zero value if MPFR was compiled with ‘__float128’ support, return zero otherwise.
|
| mpfr_buildopt_gmpinternals_p |
Return a non-zero value if MPFR was compiled with GMP internals, return zero otherwise.
|
| mpfr_buildopt_sharedcache_p |
Return a non-zero value if MPFR was compiled so that all threads share the same cache for one MPFR constant, return zero otherwise.
|
| mpfr_buildopt_tls_p |
Return a non-zero value if MPFR was compiled as thread safe using compiler-level Thread Local Storage, return zero otherwise.
|
| mpfr_buildopt_tune_case |
Return a string saying which thresholds file has been used at compile time.
|
| mpfr_can_round |
Return non-zero value if one is able to round correctly x to precision prec with the direction rnd2, and 0 otherwise.
|
| mpfr_cbrt |
Set rop to the cubic root of op rounded in the direction rnd.
|
| mpfr_ceil |
Set rop to op rounded to the next higher or equal representable integer (like mpfr_rint(mpfr_t, mpfr_t, mpfr_rnd_t) with MPFR_RNDU).
|
| mpfr_check_range |
Check that x is within the current range of acceptable values.
|
| mpfr_clear |
Free the space occupied by the significand of x.
|
| mpfr_clear_divby0 |
Clear (lower) the divide-by-zero flag.
|
| mpfr_clear_erangeflag |
Clear (lower) the erange flag.
|
| mpfr_clear_flags |
Clear (lower) all global flags (underflow, overflow, divide-by-zero, invalid, inexact, erange).
|
| mpfr_clear_inexflag |
Clear (lower) the inexact flag.
|
| mpfr_clear_nanflag |
Clear (lower) the invalid flag.
|
| mpfr_clear_overflow |
Clear (lower) the overflow flag.
|
| mpfr_clear_underflow |
Clear (lower) the underflow flag.
|
| mpfr_clears |
Free the space occupied by all the mpfr_t variables of the given list x.
|
| mpfr_cmp |
Compare op1 and op2.
|
| mpfr_cmp_d |
Compare op1 and op2.
|
| mpfr_cmp_f |
Compare op1 and op2.
|
| mpfr_cmp_q |
Compare op1 and op2.
|
| mpfr_cmp_si |
Compare op1 and op2.
|
| mpfr_cmp_si_2exp |
Compare op1 and op2 * 2^e.
|
| mpfr_cmp_ui |
Compare op1 and op2.
|
| mpfr_cmp_ui_2exp |
Compare op1 and op2 * 2^e.
|
| mpfr_cmp_z |
Compare op1 and op2.
|
| mpfr_cmpabs |
Compare |op1| and |op2|.
|
| mpfr_const_catalan |
Set rop to the value of Catalan’s constant 0.915… rounded in the direction rnd.
|
| mpfr_const_euler |
Set rop to the value of Euler’s constant 0.577… rounded in the direction rnd.
|
| mpfr_const_log2 |
Set rop to the logarithm of 2 rounded in the direction rnd.
|
| mpfr_const_pi |
Set rop to the value of Pi rounded in the direction rnd.
|
| mpfr_copysign |
Set the value of rop from op1, rounded toward the given direction rnd, then set its sign bit to that of op2 (even when op1 or op2 is a NaN).
|
| mpfr_cos |
Set rop to the cosine of op rounded in the direction rnd.
|
| mpfr_cosh |
Set rop to the hyperbolic cosine of op rounded in the direction rnd.
|
| mpfr_cot |
Set rop to the cotangent of op rounded in the direction rnd.
|
| mpfr_coth |
Set rop to the hyperbolic cotangent of op rounded in the direction rnd.
|
| mpfr_csc |
Set rop to the cosecant of op rounded in the direction rnd.
|
| mpfr_csch |
Set rop to the hyperbolic cosecant of op rounded in the direction rnd.
|
| mpfr_custom_clear |
Free the space occupied by x.
|
| mpfr_custom_get_exp |
Return the exponent of x.
|
| mpfr_custom_get_kind |
Return the current kind of a mpfr_t as created by mpfr_custom_init_set.
|
| mpfr_custom_get_significand |
Return a pointer to the significand used by a mpfr_t initialized with mpfr_custom_init_set.
|
| mpfr_custom_get_size |
Return the needed size in bytes to store the significand of a floating-point number of precision prec.
|
| mpfr_custom_init |
Initialize a significand of precision prec.
|
| mpfr_custom_init_set |
Perform a dummy initialization of a mpfr_t.
|
| mpfr_custom_move |
Inform MPFR that the significand of x has moved due to a garbage collect and update its new position to new_position.
|
| mpfr_d_div |
Set rop to op1 / op2 rounded in the direction rnd.
|
| mpfr_d_sub |
Set rop to op1 - op2 rounded in the direction rnd.
|
| mpfr_digamma |
Set rop to the value of the Digamma (sometimes also called Psi) function on op rounded in the direction rnd.
|
| mpfr_dim |
Set rop to the positive difference of op1 and op2, i.e., op1 - op2 rounded in the direction rnd if op1 > op2, +0 if op1 ≤ op2, and NaN if op1 or op2 is NaN.
|
| mpfr_div |
Set rop to op1 / op2 rounded in the direction rnd.
|
| mpfr_div_2exp |
This function is identical to mpfr_div_2ui.
|
| mpfr_div_2si |
Set rop to op1 divided by 2^op2 rounded in the direction rnd.
|
| mpfr_div_2ui |
Set rop to op1 divided by 2^op2 rounded in the direction rnd.
|
| mpfr_div_d |
Set rop to op1 / op2 rounded in the direction rnd.
|
| mpfr_div_q |
Set rop to op1 / op2 rounded in the direction rnd.
|
| mpfr_div_si |
Set rop to op1 / op2 rounded in the direction rnd.
|
| mpfr_div_ui |
Set rop to op1 / op2 rounded in the direction rnd.
|
| mpfr_div_z |
Set rop to op1 / op2 rounded in the direction rnd.
|
| mpfr_divby0_p |
Return the divide-by-zero flag, which is non-zero iff the flag is set.
|
| mpfr_eint |
Set rop to the exponential integral of op rounded in the direction rnd.
|
| mpfr_eq |
Return non-zero if op1 and op2 are both non-zero ordinary numbers with the same exponent and the same first op3 bits.
|
| mpfr_equal_p |
Return non-zero if op1 = op2, and zero otherwise.
|
| mpfr_erandom |
Generate one random float according to an exponential distribution, with mean one.
|
| mpfr_erangeflag_p |
Return the erange flag, which is non-zero iff the flag is set.
|
| mpfr_erf |
Set rop to the value of the error function on op rounded in the direction rnd.
|
| mpfr_erfc |
Set rop to the value of the complementary error function on op rounded in the direction rnd.
|
| mpfr_exp |
Set rop to the exponential of op rounded in the direction rnd.
|
| mpfr_exp10 |
Set rop to 10^op rounded in the direction rnd.
|
| mpfr_exp2 |
Set rop to 2^op rounded in the direction rnd.
|
| mpfr_expm1 |
Set rop to the e^op - 1, rounded in the direction rnd.
|
| mpfr_fac_ui |
Set rop to the factorial of op rounded in the direction rnd.
|
| mpfr_fits_intmax_p |
Return non-zero if op would fit in the C data type (32-bit) long when rounded to an integer in the direction rnd.
|
| mpfr_fits_sint_p |
Return non-zero if op would fit in the C data type (32-bit) int when rounded to an integer in the direction rnd.
|
| mpfr_fits_slong_p |
Return non-zero if op would fit in the C data type (32-bit) long when rounded to an integer in the direction rnd.
|
| mpfr_fits_sshort_p |
Return non-zero if op would fit in the C data type (16-bit) short when rounded to an integer in the direction rnd.
|
| mpfr_fits_uint_p |
Return non-zero if op would fit in the C data type (32-bit) unsigned int when rounded to an integer in the direction rnd.
|
| mpfr_fits_uintmax_p |
Return non-zero if op would fit in the C data type (32-bit) unsigned long when rounded to an integer in the direction rnd.
|
| mpfr_fits_ulong_p |
Return non-zero if op would fit in the C data type (32-bit) unsigned long when rounded to an integer in the direction rnd.
|
| mpfr_fits_ushort_p |
Return non-zero if op would fit in the C data type (16-bit) unsigned short when rounded to an integer in the direction rnd.
|
| mpfr_flags_clear |
Clear (lower) the group of flags specified by mask.
|
| mpfr_flags_restore |
Restore the flags specified by mask to their state represented in flags.
|
| mpfr_flags_save |
Return all the flags.
|
| mpfr_flags_set |
Set (raise) the group of flags specified by mask.
|
| mpfr_flags_test |
Return the flags specified by mask.
|
| mpfr_floor |
Set rop to op rounded to the next lower or equal representable integer.
|
| mpfr_fma |
Set rop to (op1 * op2) + op3 rounded in the direction rnd.
|
| mpfr_fmma |
Set rop to (op1 * op2) + (op3 * op4) rounded in the direction rnd.
|
| mpfr_fmms |
Set rop to (op1 * op2) - (op3 * op4) rounded in the direction rnd.
|
| mpfr_fmod |
Set r to the value of x - n * y, rounded according to the direction rnd, where n is the integer quotient of x divided by y, rounded toward zero.
|
| mpfr_fmodquo(mpfr_t, ptrInt32, mpfr_t, mpfr_t, mpfr_rnd_t) |
Set r to the value of x - n * y, rounded according to the direction rnd, where n is the integer quotient of x divided by y, rounded toward zero.
|
| mpfr_fmodquo(mpfr_t, Int32, mpfr_t, mpfr_t, mpfr_rnd_t) |
Set r to the value of x - n * y, rounded according to the direction rnd, where n is the integer quotient of x divided by y, rounded toward zero.
|
| mpfr_fms |
Set rop to (op1 * op2) - op3 rounded in the direction rnd.
|
| mpfr_fpif_export |
Export the number op to the stream stream in a floating-point interchange format.
|
| mpfr_fpif_import |
Import the number op from the stream stream in a floating-point interchange format (see mpfr_fpif_export(ptrFILE, mpfr_t)).
|
| mpfr_fprintf |
Print to the stream stream the optional arguments under the control of the template string template.
|
| mpfr_frac |
Set rop to the fractional part of op, having the same sign as op, rounded in the direction rnd.
|
| mpfr_free_cache |
Free all caches and pools used by MPFR internally.
|
| mpfr_free_cache2 |
Free various caches and pools used by MPFR internally, as specified by way, which is a set of flags
|
| mpfr_free_pool |
Free the pools used by MPFR internally.
|
| mpfr_free_str |
Free a string allocated by O:Math.Mpfr.Native.mpfr_lib.mpfr_get_str using the unallocation function (see GNU MPFR - Memory Handling).
|
| mpfr_frexp(mpfr_exp_t, mpfr_t, mpfr_t, mpfr_rnd_t) |
Set exp and y such that 0.5 ≤ abs(y) < 1 and y * 2^exp = x rounded to the precision of y, using the given rounding mode.
|
| mpfr_frexp(ptrmpfr_exp_t, mpfr_t, mpfr_t, mpfr_rnd_t) |
Set exp and y such that 0.5 ≤ abs(y) < 1 and y * 2^exp = x rounded to the precision of y, using the given rounding mode.
|
| mpfr_gamma |
Set rop to the value of the Gamma function on op rounded in the direction rnd.
|
| mpfr_gamma_inc |
Set rop to the value of the incomplete Gamma function on op and op2, rounded in the direction rnd.
|
| mpfr_get_d |
Convert op to a double, using the rounding mode rnd.
|
| mpfr_get_d_2exp(Int32, mpfr_t, mpfr_rnd_t) |
Return d and set exp such that 0.5 ≤ abs(d) <1 and d * 2^exp = op rounded to double precision, using the given rounding mode.
|
| mpfr_get_d_2exp(ptrInt32, mpfr_t, mpfr_rnd_t) |
Return d and set exp such that 0.5 ≤ abs(d) <1 and d * 2^exp = op rounded to double precision, using the given rounding mode.
|
| mpfr_get_default_prec |
Return the current default MPFR precision in bits.
|
| mpfr_get_default_rounding_mode |
Get the default rounding mode.
|
| mpfr_get_emax |
Return the (current) largest exponent allowed for a floating-point variable.
|
| mpfr_get_emax_max |
Return the maximum exponent allowed for mpfr_set_emax.
|
| mpfr_get_emax_min |
Return the minimum exponent allowed for mpfr_set_emax.
|
| mpfr_get_emin |
Return the (current) smallest exponent allowed for a floating-point variable.
|
| mpfr_get_emin_max |
Return the maximum exponent allowed for mpfr_set_emin.
|
| mpfr_get_emin_min |
Return the minimum exponent allowed for mpfr_set_emin.
|
| mpfr_get_exp |
Return the exponent of x, assuming that x is a non-zero ordinary number and the significand is considered in [1/2,1).
|
| mpfr_get_f | |
| mpfr_get_flt |
Convert op to a float, using the rounding mode rnd.
|
| mpfr_get_patches |
Return a null-terminated string containing the ids of the patches applied to the MPFR library (contents of the PATCHES file), separated by spaces.
|
| mpfr_get_prec |
Return the precision of x, i.e., the number of bits used to store its significand.
|
| mpfr_get_q |
Convert op to a mpq_t.
|
| mpfr_get_si |
Convert op to a long after rounding it with respect to rnd.
|
| mpfr_get_sj | |
| mpfr_get_str(char_ptr, ptrmpfr_exp_t, Int32, size_t, mpfr_t, mpfr_rnd_t) |
Convert op to a string of digits in base b, with rounding in the direction rnd, where n is either zero (see below) or the number of significant digits output in the string; in the latter case, n must be greater or equal to 2.
|
| mpfr_get_str(char_ptr, mpfr_exp_t, Int32, size_t, mpfr_t, mpfr_rnd_t) |
Convert op to a string of digits in base b, with rounding in the direction rnd, where n is either zero (see below) or the number of significant digits output in the string; in the latter case, n must be greater or equal to 2.
|
| mpfr_get_ui |
Convert op to an unsigned long after rounding it with respect to rnd.
|
| mpfr_get_uj | |
| mpfr_get_version |
Return the MPFR version, as a null-terminated string.
|
| mpfr_get_z | |
| mpfr_get_z_2exp |
Put the scaled significand of op (regarded as an integer, with the precision of op) into rop, and return the exponent exp (which may be outside the current exponent range) such that op = rop * 2^exp.
|
| mpfr_grandom |
Generate two random floats according to a standard normal gaussian distribution (with mean zero and variance one).
|
| mpfr_greater_p |
Return non-zero if op1 > op2, and zero otherwise.
|
| mpfr_greaterequal_p |
Return non-zero if op1 ≥ op2, and zero otherwise.
|
| mpfr_hypot |
Set rop to the Euclidean norm of x and y, i.e., the square root of the sum of the squares of x and y rounded in the direction rnd.
|
| mpfr_inexflag_p |
Return the inexact flag, which is non-zero iff the flag is set.
|
| mpfr_inf_p |
Return non-zero if op is an infinity. Return zero otherwise.
|
| mpfr_init |
Initialize x, set its precision to the default precision, and set its value to NaN.
|
| mpfr_init_set |
Initialize rop and set its value from op, rounded in the direction rnd.
|
| mpfr_init_set_d |
Initialize rop and set its value from op, rounded in the direction rnd.
|
| mpfr_init_set_f |
Initialize rop and set its value from op, rounded in the direction rnd.
|
| mpfr_init_set_q |
Initialize rop and set its value from op, rounded in the direction rnd.
|
| mpfr_init_set_si |
Initialize rop and set its value from op, rounded in the direction rnd.
|
| mpfr_init_set_str |
Initialize x and set its value from the string s in base base, rounded in the direction rnd.
|
| mpfr_init_set_ui |
Initialize rop and set its value from op, rounded in the direction rnd.
|
| mpfr_init_set_z |
Initialize rop and set its value from op, rounded in the direction rnd.
|
| mpfr_init2 |
Initialize x, set its precision to be exactly prec bits and its value to NaN.
|
| mpfr_inits |
Initialize all the mpfr_t variables of the given list x, set their precision to the default precision and their value to NaN.
|
| mpfr_inits2 |
Initialize all the mpfr_t variables of the given variable argument x, set their precision to be exactly prec bits and their value to NaN.
|
| mpfr_inp_str |
Input a string in base base from stream stream, rounded in the direction rnd, and put the read float in rop.
|
| mpfr_integer_p |
Return non-zero iff op is an integer.
|
| mpfr_j0 |
Set rop to the value of the first kind Bessel function of order 0 on op rounded in the direction rnd.
|
| mpfr_j1 |
Set rop to the value of the first kind Bessel function of order 1 on op rounded in the direction rnd.
|
| mpfr_jn |
Set rop to the value of the first kind Bessel function of order n on op rounded in the direction rnd.
|
| mpfr_less_p |
Return non-zero if op1 < op2, and zero otherwise.
|
| mpfr_lessequal_p |
Return non-zero if op1 ≤ op2, and zero otherwise.
|
| mpfr_lessgreater_p |
Return non-zero if op1 < op2 or op1 > op2 (i.e., neither op1, nor op2 is NaN, and op1 ≠ op2), zero otherwise (i.e., op1 and/or op2 is NaN, or op1 = op2).
|
| mpfr_lgamma(mpfr_t, ptrInt32, mpfr_t, mpfr_rnd_t) |
Set rop to the value of the logarithm of the absolute value of the Gamma function on op rounded in the direction rnd.
|
| mpfr_lgamma(mpfr_t, Int32, mpfr_t, mpfr_rnd_t) |
Set rop to the value of the logarithm of the absolute value of the Gamma function on op rounded in the direction rnd.
|
| mpfr_li2 |
Set rop to real part of the dilogarithm of op rounded in the direction rnd.
|
| mpfr_lngamma |
Set rop to the value of the logarithm of the Gamma function on op rounded in the direction rnd.
|
| mpfr_log |
Set rop to the natural logarithm of op rounded in the direction rnd.
|
| mpfr_log_ui |
Set rop to the natural logarithm of op rounded in the direction rnd.
|
| mpfr_log10 |
Set rop to log10(op) rounded in the direction rnd.
|
| mpfr_log1p |
Set rop to the logarithm of one plus op, rounded in the direction rnd.
|
| mpfr_log2 |
Set rop to log2(op) rounded in the direction rnd.
|
| mpfr_max |
Set rop to the maximum of op1 and op2.
|
| mpfr_min |
Set rop to the minimum of op1 and op2.
|
| mpfr_min_prec |
Return the minimal number of bits required to store the significand of x, and 0 for special values, including 0.
|
| mpfr_modf |
Set simultaneously iop to the integral part of op and fop to the fractional part of op, rounded in the direction rnd with the corresponding precision of iop and fop.
|
| mpfr_mp_memory_cleanup |
This function should be called before calling mp_set_memory_functions(allocate_function, reallocate_function, free_function).
|
| mpfr_mul |
Set rop to op1 * op2 rounded in the direction rnd.
|
| mpfr_mul_2exp |
This function is identical to mpfr_mul_2ui.
|
| mpfr_mul_2si |
Set rop to op1 * 2^op2 rounded in the direction rnd.
|
| mpfr_mul_2ui |
Set rop to op1 * 2^op2 rounded in the direction rnd.
|
| mpfr_mul_d |
Set rop to op1 * op2 rounded in the direction rnd.
|
| mpfr_mul_q |
Set rop to op1 * op2 rounded in the direction rnd.
|
| mpfr_mul_si |
Set rop to op1 * op2 rounded in the direction rnd.
|
| mpfr_mul_ui |
Set rop to op1 * op2 rounded in the direction rnd.
|
| mpfr_mul_z |
Set rop to op1 * op2 rounded in the direction rnd.
|
| mpfr_nan_p |
Return non-zero if op is NaN. Return zero otherwise.
|
| mpfr_nanflag_p |
Return the invalid flag, which is non-zero iff the flag is set.
|
| mpfr_neg |
Set rop to -op rounded in the direction rnd.
|
| mpfr_nextabove |
Equivalent to mpfr_nexttoward where y is plus infinity.
|
| mpfr_nextbelow |
Equivalent to mpfr_nexttoward where y is minus infinity.
|
| mpfr_nexttoward |
Replace x by the next floating-point number in the direction of y.
|
| mpfr_nrandom |
Generate one random float according to a standard normal gaussian distribution (with mean zero and variance one).
|
| mpfr_number_p |
Return non-zero if op is an ordinary number (i.e., neither NaN nor an infinity). Return zero otherwise.
|
| mpfr_out_str |
Output op on stream stream, as a string of digits in base base, rounded in the direction rnd.
|
| mpfr_overflow_p |
Return the overflow flag, which is non-zero iff the flag is set.
|
| mpfr_pow |
Set rop to op1 raised to op2, rounded in the direction rnd.
|
| mpfr_pow_si |
Set rop to op1 raised to op2, rounded in the direction rnd.
|
| mpfr_pow_ui |
Set rop to op1 raised to op2, rounded in the direction rnd.
|
| mpfr_pow_z |
Set rop to op1 raised to op2, rounded in the direction rnd.
|
| mpfr_prec_round |
Round x according to rnd with precision prec, which must be an integer between MPFR_PREC_MIN and MPFR_PREC_MAX (otherwise the behavior is undefined).
|
| mpfr_print_rnd_mode |
Return a string ("MPFR_RNDD", "MPFR_RNDU", "MPFR_RNDN", "MPFR_RNDZ", "MPFR_RNDA") corresponding to the rounding mode rnd, or a null pointer if rnd is an invalid rounding mode.
|
| mpfr_printf |
Print to stdout the optional arguments under the control of the template string template.
|
| mpfr_rec_sqrt |
Set rop to the reciprocal square root of op rounded in the direction rnd.
|
| mpfr_regular_p |
Return non-zero if op is a regular number (i.e., neither NaN, nor an infinity nor zero). Return zero otherwise.
|
| mpfr_reldiff |
Compute the relative difference between op1 and op2 and store the result in rop.
|
| mpfr_remainder |
Set r to the value of x - n * y, rounded according to the direction rnd, where n is the integer quotient of x divided by y, rounded to the nearest integer (ties rounded to even).
|
| mpfr_remquo(mpfr_t, ptrInt32, mpfr_t, mpfr_t, mpfr_rnd_t) |
Set r to the value of x - n * y, rounded according to the direction rnd, where n is the integer quotient of x divided by y, rounded to the nearest integer (ties rounded to even).
|
| mpfr_remquo(mpfr_t, Int32, mpfr_t, mpfr_t, mpfr_rnd_t) |
Set r to the value of x - n * y, rounded according to the direction rnd, where n is the integer quotient of x divided by y, rounded to the nearest integer (ties rounded to even).
|
| mpfr_rint |
Set rop to op rounded to the nearest representable integer in the given direction rnd.
|
| mpfr_rint_ceil |
Set rop to op rounded to the next higher or equal integer.
|
| mpfr_rint_floor |
Set rop to op rounded to the next lower or equal integer.
|
| mpfr_rint_round |
Set rop to op rounded to the nearest integer, rounding halfway cases away from zero.
|
| mpfr_rint_roundeven |
Set rop to op rounded to the nearest integer, rounding halfway cases to the nearest even integer.
|
| mpfr_rint_trunc |
Set rop to op rounded to the next integer toward zero.
|
| mpfr_root |
Set rop to the kth root of op rounded in the direction rnd.
|
| mpfr_rootn_ui |
Set rop to the kth root of op rounded in the direction rnd.
|
| mpfr_round |
Set rop to op rounded to the nearest representable integer, rounding halfway cases away from zero (as in the roundTiesToAway mode of IEEE 754-2008).
|
| mpfr_roundeven |
Set rop to op rounded to the nearest representable integer, rounding halfway cases with the even-rounding rule zero (like mpfr_rint(mpfr_t, mpfr_t, mpfr_rnd_t) with MPFR_RNDN).
|
| mpfr_sec |
Set rop to the secant of op rounded in the direction rnd.
|
| mpfr_sech |
Set rop to the hyperbolic secant of op rounded in the direction rnd.
|
| mpfr_set |
Set the value of rop from op rounded toward the given direction rnd.
|
| mpfr_set_d |
Set the value of rop from op rounded toward the given direction rnd.
|
| mpfr_set_default_prec |
Set the default precision to be exactly prec bits, where prec can be any integer between MPFR_PREC_MINand MPFR_PREC_MAX.
|
| mpfr_set_default_rounding_mode |
Set the default rounding mode to rnd.
|
| mpfr_set_divby0 |
Set (raised) the divide-by-zero flag.
|
| mpfr_set_emax |
Set the largest exponent allowed for a floating-point variable.
|
| mpfr_set_emin |
Set the smallest exponent allowed for a floating-point variable.
|
| mpfr_set_erangeflag |
Set (raised) the erange flag.
|
| mpfr_set_exp |
Set the exponent of x if e is in the current exponent range.
|
| mpfr_set_f |
Set the value of rop from op rounded toward the given direction rnd.
|
| mpfr_set_flt |
Set the value of rop from op rounded toward the given direction rnd.
|
| mpfr_set_inexflag |
Set (raised) the inexact flag.
|
| mpfr_set_inf |
Set the variable x to infinity.
|
| mpfr_set_nan |
Set the variable x to NaN (Not-a-Number).
|
| mpfr_set_nanflag |
Set (raised) the invalid flag.
|
| mpfr_set_overflow |
Set (raised) the overflow flag.
|
| mpfr_set_prec |
Reset the precision of x to be exactly prec bits, and set its value to NaN.
|
| mpfr_set_prec_raw |
Reset the precision of x to be exactly prec bits.
|
| mpfr_set_q |
Set the value of rop from op rounded toward the given direction rnd.
|
| mpfr_set_si |
Set the value of rop from op rounded toward the given direction rnd.
|
| mpfr_set_si_2exp |
Set the value of rop from op multiplied by two to the power e, rounded toward the given direction rnd.
|
| mpfr_set_sj |
Set the value of rop from op rounded toward the given direction rnd.
|
| mpfr_set_sj_2exp |
Set the value of rop from op multiplied by two to the power e, rounded toward the given direction rnd.
|
| mpfr_set_str |
Set rop to the value of the string s in base base, rounded in the direction rnd.
|
| mpfr_set_ui |
Set the value of rop from op rounded toward the given direction rnd.
|
| mpfr_set_ui_2exp |
Set the value of rop from op multiplied by two to the power e, rounded toward the given direction rnd.
|
| mpfr_set_uj |
Set the value of rop from op rounded toward the given direction rnd.
|
| mpfr_set_uj_2exp |
Set the value of rop from op multiplied by two to the power e, rounded toward the given direction rnd.
|
| mpfr_set_underflow |
Set (raised) the underflow flag.
|
| mpfr_set_z |
Set the value of rop from op rounded toward the given direction rnd.
|
| mpfr_set_z_2exp |
Set the value of rop from op multiplied by two to the power e, rounded toward the given direction rnd.
|
| mpfr_set_zero |
Set the variable x to zero.
|
| mpfr_setsign |
Set the value of rop from op, rounded toward the given direction rnd, then set (resp. clear) its sign bit if s is non-zero (resp. zero), even when op is a NaN.
|
| mpfr_sgn |
Return a positive value if op > 0, zero if op = 0, and a negative value if op < 0.
|
| mpfr_si_div |
Set rop to op1 / op2 rounded in the direction rnd.
|
| mpfr_si_sub |
Set rop to op1 - op2 rounded in the direction rnd.
|
| mpfr_signbit |
Return a non-zero value iff op has its sign bit set (i.e., if it is negative, -0, or a NaN whose representation has its sign bit set).
|
| mpfr_sin |
Set rop to the sine of op rounded in the direction rnd.
|
| mpfr_sin_cos |
Set simultaneously sop to the sine of op and cop to the cosine of op, rounded in the direction rnd with the corresponding precisions of sop and cop, which must be different variables.
|
| mpfr_sinh |
Set rop to the hyperbolic sine of op rounded in the direction rnd.
|
| mpfr_sinh_cosh |
Set simultaneously sop to the hyperbolic sine of op and cop to the hyperbolic cosine of op, rounded in the direction rnd with the corresponding precision of sop and cop, which must be different variables.
|
| mpfr_snprintf |
Form a null-terminated string corresponding to the optional arguments under the control of the template string template, and print it in buf.
|
| mpfr_sprintf |
Form a null-terminated string corresponding to the optional arguments under the control of the template string template, and print it in buf.
|
| mpfr_sqr |
Set rop to the square of op rounded in the direction rnd.
|
| mpfr_sqrt |
Set rop to the square root of op rounded in the direction rnd.
|
| mpfr_sqrt_ui |
Set rop to the square root of op rounded in the direction rnd.
|
| mpfr_strtofr(mpfr_t, char_ptr, char_ptr, Int32, mpfr_rnd_t) |
Read a floating-point number from a string nptr in base base, rounded in the direction rnd.
|
| mpfr_strtofr(mpfr_t, char_ptr, ptrchar_ptr, Int32, mpfr_rnd_t) |
Read a floating-point number from a string nptr in base base, rounded in the direction rnd.
|
| mpfr_sub |
Set rop to op1 - op2 rounded in the direction rnd.
|
| mpfr_sub_d |
Set rop to op1 - op2 rounded in the direction rnd.
|
| mpfr_sub_q |
Set rop to op1 - op2 rounded in the direction rnd.
|
| mpfr_sub_si |
Set rop to op1 - op2 rounded in the direction rnd.
|
| mpfr_sub_ui |
Set rop to op1 - op2 rounded in the direction rnd.
|
| mpfr_sub_z |
Set rop to op1 - op2 rounded in the direction rnd.
|
| mpfr_subnormalize |
This function rounds x emulating subnormal number arithmetic.
|
| mpfr_sum |
Set rop to the sum of all elements of tab, whose size is n, correctly rounded in the direction rnd.
|
| mpfr_swap |
Swap the structures pointed to by x and y.
|
| mpfr_tan |
Set rop to the tangent of op rounded in the direction rnd.
|
| mpfr_tanh |
Set rop to the hyperbolic tangent of op rounded in the direction rnd.
|
| mpfr_trunc |
Set rop to op rounded to the next representable integer toward zero (like mpfr_rint(mpfr_t, mpfr_t, mpfr_rnd_t) with MPFR_RNDZ).
|
| mpfr_ui_div |
Set rop to op1 / op2 rounded in the direction rnd.
|
| mpfr_ui_pow |
Set rop to op1 raised to op2, rounded in the direction rnd.
|
| mpfr_ui_pow_ui |
Set rop to op1 raised to op2, rounded in the direction rnd.
|
| mpfr_ui_sub |
Set rop to op1 - op2 rounded in the direction rnd.
|
| mpfr_underflow_p |
Return the underflow flag, which is non-zero iff the flag is set.
|
| mpfr_unordered_p |
Return non-zero if op1 or op2 is a NaN (i.e., they cannot be compared), zero otherwise.
|
| mpfr_urandom |
Generate a uniformly distributed random float.
|
| mpfr_urandomb |
Generate a uniformly distributed random float in the interval 0 ≤ rop < 1.
|
| mpfr_vasprintf(char_ptr, String, Object) |
Write output as a null terminated string in a block of memory allocated using the allocation function (see GNU MPFR - Memory Handling).
|
| mpfr_vasprintf(ptrchar_ptr, String, Object) |
Write output as a null terminated string in a block of memory allocated using the allocation function (see GNU MPFR - Memory Handling).
|
| MPFR_VERSION_NUM |
Create an integer in the same format as used by MPFR_VERSION from the given major, minor and patchlevel.
|
| mpfr_vfprintf |
Print to the stream stream the optional arguments under the control of the template string template.
|
| mpfr_vprintf |
Print to stdout the optional arguments under the control of the template string template.
|
| mpfr_vsnprintf |
Form a null-terminated string corresponding to the optional arguments under the control of the template string template, and print it in buf.
|
| mpfr_vsprintf |
Form a null-terminated string corresponding to the optional arguments under the control of the template string template, and print it in buf.
|
| mpfr_y0 |
Set rop to the value of the first kind Bessel function of order 0 on op rounded in the direction rnd.
|
| mpfr_y1 |
Set rop to the value of the first kind Bessel function of order 1 on op rounded in the direction rnd.
|
| mpfr_yn |
Set rop to the value of the first kind Bessel function of order n on op rounded in the direction rnd.
|
| mpfr_z_sub |
Set rop to op1 - op2 rounded in the direction rnd.
|
| mpfr_zero_p |
Return non-zero if op is zero. Return zero otherwise.
|
| mpfr_zeta |
Set rop to the value of the Riemann Zeta function on op rounded in the direction rnd.
|
| mpfr_zeta_ui |
Set rop to the value of the Riemann Zeta function on op rounded in the direction rnd.
|
Fields| Name | Description | |
|---|---|---|
 | MPFR_PREC_MAX |
The maximum number of bits that can be used to represent the significand of a floating-point number.
|
| MPFR_PREC_MIN |
The minimum number of bits that can be used to represent the significand of a floating-point number.
|
| MPFR_VERSION | MPFR_VERSION is the version of MPFR.
|
| MPFR_VERSION_MAJOR | MPFR_VERSION_MAJOR is the major MPFR version.
|
| MPFR_VERSION_MINOR | MPFR_VERSION_MINOR is the minor MPFR version.
|
| MPFR_VERSION_PATCHLEVEL | MPFR_VERSION_PATCHLEVEL is the patch level of MPFR version.
|
| MPFR_VERSION_STRING | MPFR_VERSION_STRING is the version (with an optional suffix, used in development and pre-release versions) as a string constant.
|
RemarksFunctions Categories
Initialization Functions:
- mpfr_clear - Free the space occupied by the significand of x.
- mpfr_clears - Free the space occupied by all the mpfr_t variables of the given list x.
- mpfr_get_default_prec - Return the current default MPFR precision in bits.
- mpfr_get_prec - Return the precision of x, i.e., the number of bits used to store its significand.
- mpfr_init - Initialize x, set its precision to the default precision, and set its value to NaN.
- mpfr_init2 - Initialize x, set its precision to be exactly prec bits and its value to NaN.
- mpfr_inits - Initialize all the mpfr_t variables of the given list x, set their precision to the default precision and their value to NaN.
- mpfr_inits2 - Initialize all the mpfr_t variables of the given variable argument x, set their precision to be exactly prec bits and their value to NaN.
- mpfr_set_default_prec - Set the default precision to be exactly prec bits, where prec can be any integer between MPFR_PREC_MINand MPFR_PREC_MAX.
- mpfr_set_prec - Reset the precision of x to be exactly prec bits, and set its value to NaN.
Assignment Functions:
- mpfr_set - Set the value of rop from op rounded toward the given direction rnd.
- mpfr_set_d - Set the value of rop from op rounded toward the given direction rnd.
- mpfr_set_f - Set the value of rop from op rounded toward the given direction rnd.
- mpfr_set_flt - Set the value of rop from op rounded toward the given direction rnd.
- mpfr_set_inf - Set the variable x to infinity.
- mpfr_set_nan - Set the variable x to NaN.
- mpfr_set_q - Set the value of rop from op rounded toward the given direction rnd.
- mpfr_set_si - Set the value of rop from op rounded toward the given direction rnd.
- mpfr_set_si_2exp - Set the value of rop from op multiplied by two to the power e, rounded toward the given direction rnd.
- mpfr_set_sj - Set the value of rop from op rounded toward the given direction rnd.
- mpfr_set_sj_2exp - Set the value of rop from op multiplied by two to the power e, rounded toward the given direction rnd.
- mpfr_set_str - Set rop to the value of the string s in base base, rounded in the direction rnd.
- mpfr_set_ui - Set the value of rop from op rounded toward the given direction rnd.
- mpfr_set_ui_2exp - Set the value of rop from op multiplied by two to the power e, rounded toward the given direction rnd.
- mpfr_set_uj - Set the value of rop from op rounded toward the given direction rnd.
- mpfr_set_uj_2exp - Set the value of rop from op multiplied by two to the power e, rounded toward the given direction rnd.
- mpfr_set_z - Set the value of rop from op rounded toward the given direction rnd.
- mpfr_set_z_2exp - Set the value of rop from op multiplied by two to the power e, rounded toward the given direction rnd.
- mpfr_set_zero - Set the variable x to zero.
- mpfr_strtofr - Read a floating-point number from a string nptr in base base, rounded in the direction rnd.
- mpfr_swap - Swap the structures pointed to by x and y.
Combined Initialization and Assignment Functions:
- mpfr_init_set - Initialize rop and set its value from op, rounded in the direction rnd.
- mpfr_init_set_d - Initialize rop and set its value from op, rounded in the direction rnd.
- mpfr_init_set_f - Initialize rop and set its value from op, rounded in the direction rnd.
- mpfr_init_set_q - Initialize rop and set its value from op, rounded in the direction rnd.
- mpfr_init_set_si - Initialize rop and set its value from op, rounded in the direction rnd.
- mpfr_init_set_str - Initialize x and set its value from the string s in base base, rounded in the direction rnd.
- mpfr_init_set_ui - Initialize rop and set its value from op, rounded in the direction rnd.
- mpfr_init_set_z - Initialize rop and set its value from op, rounded in the direction rnd.
Conversion Functions:
- mpfr_fits_intmax_p - Return non-zero if op would fit in the C data type long when rounded to an integer in the direction rnd.
- mpfr_fits_sint_p - Return non-zero if op would fit in the C data type int when rounded to an integer in the direction rnd.
- mpfr_fits_slong_p - Return non-zero if op would fit in the C data type long when rounded to an integer in the direction rnd.
- mpfr_fits_sshort_p - Return non-zero if op would fit in the C data type short when rounded to an integer in the direction rnd.
- mpfr_fits_uint_p - Return non-zero if op would fit in the C data type unsigned int when rounded to an integer in the direction rnd.
- mpfr_fits_uintmax_p - Return non-zero if op would fit in the C data type unsigned long when rounded to an integer in the direction rnd.
- mpfr_fits_ulong_p - Return non-zero if op would fit in the C data type unsigned long when rounded to an integer in the direction rnd.
- mpfr_fits_ushort_p - Return non-zero if op would fit in the C data type unsigned short when rounded to an integer in the direction rnd.
- mpfr_free_str - Free a string allocated by O:Math.Mpfr.Native.mpfr_lib.mpfr_get_str using the unallocation function .
- mpfr_frexp - Set exp and y such that 0.5 ≤ abs < 1 and y * 2^exp = x rounded to the precision of y, using the given rounding mode.
- mpfr_get_d - Convert op to a double, using the rounding mode rnd.
- mpfr_get_d_2exp - Return d and set exp such that 0.5 ≤ abs <1 and d * 2^exp = op rounded to double precision, using the given rounding mode.
- mpfr_get_f - Convert op to a mpf_t, after rounding it with respect to rnd.
- mpfr_get_flt - Convert op to a float, using the rounding mode rnd.
- mpfr_get_si - Convert op to a long after rounding it with respect to rnd.
- mpfr_get_sj - Convert op to an intmax_t after rounding it with respect to rnd.
- mpfr_get_str - Convert op to a string of digits in base b, with rounding in the direction rnd, where n is either zero or the number of significant digits output in the string; in the latter case, n must be greater or equal to 2.
- mpfr_get_ui - Convert op to an unsigned long after rounding it with respect to rnd.
- mpfr_get_uj - Convert op to an uintmax_t after rounding it with respect to rnd.
- mpfr_get_z - Convert op to a mpz_t, after rounding it with respect to rnd.
- mpfr_get_q - Convert op to a mpq_t.
- mpfr_get_z_2exp - Put the scaled significand of op into rop, and return the exponent exp such that op = rop * 2^exp.
Basic Arithmetic Functions:
- mpfr_abs - Set rop to the absolute value of op rounded in the direction rnd.
- mpfr_add - Set rop to op1 + op2 rounded in the direction rnd.
- mpfr_add_d - Set rop to op1 + op2 rounded in the direction rnd.
- mpfr_add_q - Set rop to op1 + op2 rounded in the direction rnd.
- mpfr_add_si - Set rop to op1 + op2 rounded in the direction rnd.
- mpfr_add_ui - Set rop to op1 + op2 rounded in the direction rnd.
- mpfr_add_z - Set rop to op1 + op2 rounded in the direction rnd.
- mpfr_cbrt - Set rop to the cubic root of op rounded in the direction rnd.
- mpfr_rootn_ui - Set rop to the kth root of op rounded in the direction rnd.
- mpfr_d_div - Set rop to op1 / op2 rounded in the direction rnd.
- mpfr_d_sub - Set rop to op1 - op2 rounded in the direction rnd.
- mpfr_dim - Set rop to the positive difference of op1 and op2, i.e., op1 - op2 rounded in the direction rnd if op1 > op2, +0 if op1 ≤ op2, and NaN if op1 or op2 is NaN.
- mpfr_div - Set rop to op1 / op2 rounded in the direction rnd.
- mpfr_div_2si - Set rop to op1 divided by 2^op2 rounded in the direction rnd.
- mpfr_div_2ui - Set rop to op1 divided by 2^op2 rounded in the direction rnd.
- mpfr_div_d - Set rop to op1 / op2 rounded in the direction rnd.
- mpfr_div_q - Set rop to op1 / op2 rounded in the direction rnd.
- mpfr_div_si - Set rop to op1 / op2 rounded in the direction rnd.
- mpfr_div_ui - Set rop to op1 / op2 rounded in the direction rnd.
- mpfr_div_z - Set rop to op1 / op2 rounded in the direction rnd.
- mpfr_mul - Set rop to op1 * op2 rounded in the direction rnd.
- mpfr_mul_2si - Set rop to op1 * 2^op2 rounded in the direction rnd.
- mpfr_mul_2ui - Set rop to op1 * 2^op2 rounded in the direction rnd.
- mpfr_mul_d - Set rop to op1 * op2 rounded in the direction rnd.
- mpfr_mul_q - Set rop to op1 * op2 rounded in the direction rnd.
- mpfr_mul_si - Set rop to op1 * op2 rounded in the direction rnd.
- mpfr_mul_ui - Set rop to op1 * op2 rounded in the direction rnd.
- mpfr_mul_z - Set rop to op1 * op2 rounded in the direction rnd.
- mpfr_neg - Set rop to -op rounded in the direction rnd.
- mpfr_pow - Set rop to op1 raised to op2, rounded in the direction rnd.
- mpfr_pow_si - Set rop to op1 raised to op2, rounded in the direction rnd.
- mpfr_pow_ui - Set rop to op1 raised to op2, rounded in the direction rnd.
- mpfr_pow_z - Set rop to op1 raised to op2, rounded in the direction rnd.
- mpfr_rec_sqrt - Set rop to the reciprocal square root of op rounded in the direction rnd.
- mpfr_root - Set rop to the kth root of op rounded in the direction rnd.
- mpfr_si_div - Set rop to op1 / op2 rounded in the direction rnd.
- mpfr_si_sub - Set rop to op1 - op2 rounded in the direction rnd.
- mpfr_sqr - Set rop to the square of op rounded in the direction rnd.
- mpfr_sqrt - Set rop to the square root of op rounded in the direction rnd.
- mpfr_sqrt_ui - Set rop to the square root of op rounded in the direction rnd.
- mpfr_sub - Set rop to op1 - op2 rounded in the direction rnd.
- mpfr_sub_d - Set rop to op1 - op2 rounded in the direction rnd.
- mpfr_sub_q - Set rop to op1 - op2 rounded in the direction rnd.
- mpfr_sub_si - Set rop to op1 - op2 rounded in the direction rnd.
- mpfr_sub_ui - Set rop to op1 - op2 rounded in the direction rnd.
- mpfr_sub_z - Set rop to op1 - op2 rounded in the direction rnd.
- mpfr_sum - Set rop to the sum of all elements of tab, whose size is n, rounded in the direction rnd.
- mpfr_ui_div - Set rop to op1 / op2 rounded in the direction rnd.
- mpfr_ui_pow - Set rop to op1 raised to op2, rounded in the direction rnd.
- mpfr_ui_pow_ui - Set rop to op1 raised to op2, rounded in the direction rnd.
- mpfr_ui_sub - Set rop to op1 - op2 rounded in the direction rnd.
- mpfr_z_sub - Set rop to op1 - op2 rounded in the direction rnd.
Comparison Functions:
- mpfr_cmp - Compare op1 and op2.
- mpfr_cmp_d - Compare op1 and op2.
- mpfr_cmp_f - Compare op1 and op2.
- mpfr_cmp_q - Compare op1 and op2.
- mpfr_cmp_si - Compare op1 and op2.
- mpfr_cmp_si_2exp - Compare op1 and op2 * 2^e.
- mpfr_cmp_ui - Compare op1 and op2.
- mpfr_cmp_ui_2exp - Compare op1 and op2 * 2^e.
- mpfr_cmp_z - Compare op1 and op2.
- mpfr_cmpabs - Compare |op1| and |op2|.
- mpfr_equal_p - Return non-zero if op1 = op2, and zero otherwise.
- mpfr_greater_p - Return non-zero if op1 > op2, and zero otherwise.
- mpfr_greaterequal_p - Return non-zero if op1 ≥ op2, and zero otherwise.
- mpfr_inf_p - Return non-zero if op is an infinity. Return zero otherwise.
- mpfr_less_p - Return non-zero if op1 < op2, and zero otherwise.
- mpfr_lessequal_p - Return non-zero if op1 ≤ op2, and zero otherwise.
- mpfr_lessgreater_p - Return non-zero if op1 < op2 or op1 > op2 , zero otherwise .
- mpfr_nan_p - Return non-zero if op is NaN. Return zero otherwise.
- mpfr_number_p - Return non-zero if op is an ordinary number . Return zero otherwise.
- mpfr_regular_p - Return non-zero if op is a regular number . Return zero otherwise.
- mpfr_sgn - Return a positive value if op > 0, zero if op = 0, and a negative value if op < 0.
- mpfr_unordered_p - Return non-zero if op1 or op2 is a NaN , zero otherwise.
- mpfr_zero_p - Return non-zero if op is zero. Return zero otherwise.
Special Functions:
- mpfr_acos - Set rop to the arc-cosine of op rounded in the direction rnd.
- mpfr_acosh - Set rop to the inverse hyperbolic cosine of op rounded in the direction rnd.
- mpfr_agm - Set rop to the arithmetic-geometric mean of op1 and op2 rounded in the direction rnd.
- mpfr_ai - Set rop to the value of the Airy function Ai on x rounded in the direction rnd.
- mpfr_asin - Set rop to the arc-sine of op rounded in the direction rnd.
- mpfr_asinh - Set rop to the inverse hyperbolic sine of op rounded in the direction rnd.
- mpfr_atan - Set rop to the arc-tangent of op rounded in the direction rnd.
- mpfr_atan2 - Set rop to the arc-tangent2 of y and x rounded in the direction rnd.
- mpfr_atanh - Set rop to the inverse hyperbolic tangent of op rounded in the direction rnd.
- mpfr_const_catalan - Set rop to the value of Catalan’s constant 0.915… rounded in the direction rnd.
- mpfr_const_euler - Set rop to the value of Euler’s constant 0.577… rounded in the direction rnd.
- mpfr_const_log2 - Set rop to the logarithm of 2 rounded in the direction rnd.
- mpfr_const_pi - Set rop to the value of Pi rounded in the direction rnd.
- mpfr_cos - Set rop to the cosine of op rounded in the direction rnd.
- mpfr_cosh - Set rop to the hyperbolic cosine of op rounded in the direction rnd.
- mpfr_cot - Set rop to the cotangent of op rounded in the direction rnd.
- mpfr_coth - Set rop to the hyperbolic cotangent of op rounded in the direction rnd.
- mpfr_csc - Set rop to the cosecant of op rounded in the direction rnd.
- mpfr_csch - Set rop to the hyperbolic cosecant of op rounded in the direction rnd.
- mpfr_digamma - Set rop to the value of the Digamma function on op rounded in the direction rnd.
- mpfr_eint - Set rop to the exponential integral of op rounded in the direction rnd.
- mpfr_erf - Set rop to the value of the error function on op rounded in the direction rnd.
- mpfr_erfc - Set rop to the value of the complementary error function on op rounded in the direction rnd.
- mpfr_exp - Set rop to the exponential of op rounded in the direction rnd.
- mpfr_exp10 - Set rop to 10^op rounded in the direction rnd.
- mpfr_exp2 - Set rop to 2^op rounded in the direction rnd.
- mpfr_expm1 - Set rop to the e^op - 1, rounded in the direction rnd.
- mpfr_fac_ui - Set rop to the factorial of op rounded in the direction rnd.
- mpfr_fma - Set rop to (op1 × op2) + op3 rounded in the direction rnd.
- mpfr_fms - Set rop to (op1 × op2) - op3 rounded in the direction rnd.
- mpfr_fmma - Set rop to (op1 × op2) + (op3 × op4) rounded in the direction rnd.
- mpfr_fmms - Set rop to (op1 × op2) - (op3 × op4) rounded in the direction rnd.
- mpfr_free_cache - Free all caches and pools used by MPFR internally.
- mpfr_free_cache2 - Free various caches and pools used by MPFR internally, as specified by way, which is a set of flags.
- mpfr_free_pool - Free the pools used by MPFR internally.
- mpfr_mp_memory_cleanup - This function should be called before calling mp_set_memory_functions(allocate_function, reallocate_function, free_function).
- mpfr_gamma - Set rop to the value of the Gamma function on op rounded in the direction rnd.
- mpfr_gamma_inc - Set rop to the value of the Incomplete Gamma function on op and op2 rounded in the direction rnd.
- mpfr_beta - Set rop to the value of the Beta function at arguments op1 and op2, rounded in the direction rnd.
- mpfr_hypot - Set rop to the Euclidean norm of x and y, i.e., the square root of the sum of the squares of x and y rounded in the direction rnd.
- mpfr_j0 - Set rop to the value of the first kind Bessel function of order 0 on op rounded in the direction rnd.
- mpfr_j1 - Set rop to the value of the first kind Bessel function of order 1 on op rounded in the direction rnd.
- mpfr_jn - Set rop to the value of the first kind Bessel function of order n on op rounded in the direction rnd.
- mpfr_lgamma - Set rop to the value of the logarithm of the absolute value of the Gamma function on op rounded in the direction rnd.
- mpfr_li2 - Set rop to real part of the dilogarithm of op rounded in the direction rnd.
- mpfr_lngamma - Set rop to the value of the logarithm of the Gamma function on op rounded in the direction rnd.
- mpfr_log - Set rop to the natural logarithm of op rounded in the direction rnd.
- mpfr_log_ui - Set rop to the natural logarithm of op rounded in the direction rnd.
- mpfr_log10 - Set rop to log10 rounded in the direction rnd.
- mpfr_log1p - Set rop to the logarithm of one plus op, rounded in the direction rnd.
- mpfr_log2 - Set rop to log2 rounded in the direction rnd.
- mpfr_sec - Set rop to the secant of op rounded in the direction rnd.
- mpfr_sech - Set rop to the hyperbolic secant of op rounded in the direction rnd.
- mpfr_sin - Set rop to the sine of op rounded in the direction rnd.
- mpfr_sin_cos - Set simultaneously sop to the sine of op and cop to the cosine of op, rounded in the direction rnd with the corresponding precisions of sop and cop, which must be different variables.
- mpfr_sinh - Set rop to the hyperbolic sine of op rounded in the direction rnd.
- mpfr_sinh_cosh - Set simultaneously sop to the hyperbolic sine of op and cop to the hyperbolic cosine of op, rounded in the direction rnd with the corresponding precision of sop and cop, which must be different variables.
- mpfr_tan - Set rop to the tangent of op rounded in the direction rnd.
- mpfr_tanh - Set rop to the hyperbolic tangent of op rounded in the direction rnd.
- mpfr_y0 - Set rop to the value of the first kind Bessel function of order 0 on op rounded in the direction rnd.
- mpfr_y1 - Set rop to the value of the first kind Bessel function of order 1 on op rounded in the direction rnd.
- mpfr_yn - Set rop to the value of the first kind Bessel function of order n on op rounded in the direction rnd.
- mpfr_zeta - Set rop to the value of the Riemann Zeta function on op rounded in the direction rnd.
- mpfr_zeta_ui - Set rop to the value of the Riemann Zeta function on op rounded in the direction rnd.
Input and Output Functions:
- mpfr_inp_str - Input a string in base base from stream stream, rounded in the direction rnd, and put the read float in rop.
- mpfr_out_str - Output op on stream stream, as a string of digits in base base, rounded in the direction rnd.
- mpfr_fpif_import - Import the number op from the stream stream in a floating-point interchange format (see mpfr_fpif_export(ptrFILE, mpfr_t)).
- mpfr_fpif_export - Export the number op to the stream stream in a floating-point interchange format.
Formatted Output Functions:
- mpfr_asprintf - Write output as a null terminated string in a block of memory allocated using the allocation function .
- mpfr_fprintf - Print to the stream stream the optional arguments under the control of the template string template.
- mpfr_printf - Print to stdout the optional arguments under the control of the template string template.
- mpfr_snprintf - Form a null-terminated string corresponding to the optional arguments under the control of the template string template, and print it in buf.
- mpfr_sprintf - Form a null-terminated string corresponding to the optional arguments under the control of the template string template, and print it in buf.
- mpfr_vasprintf - Write output as a null terminated string in a block of memory allocated using the allocation function .
- mpfr_vfprintf - Print to the stream stream the optional arguments under the control of the template string template.
- mpfr_vprintf - Print to stdout the optional arguments under the control of the template string template.
- mpfr_vsnprintf - Form a null-terminated string corresponding to the optional arguments under the control of the template string template, and print it in buf.
- mpfr_vsprintf - Form a null-terminated string corresponding to the optional arguments under the control of the template string template, and print it in buf.
Integer and Remainder Related Functions:
- mpfr_ceil - Set rop to op rounded to the next higher or equal representable integer (like mpfr_rint(mpfr_t, mpfr_t, mpfr_rnd_t) with MPFR_RNDU).
- mpfr_floor - Set rop to op rounded to the next lower or equal representable integer (like mpfr_rint(mpfr_t, mpfr_t, mpfr_rnd_t) with MPFR_RNDD).
- mpfr_fmod - Set r to the value of x - n * y, rounded according to the direction rnd, where n is the integer quotient of x divided by y, rounded toward zero.
- mpfr_fmodquo - Set r to the value of x - n * y, rounded according to the direction rnd, where n is the integer quotient of x divided by y, rounded toward zero.
- mpfr_frac - Set rop to the fractional part of op, having the same sign as op, rounded in the direction rnd.
- mpfr_integer_p - Return non-zero iff op is an integer.
- mpfr_modf - Set simultaneously iop to the integral part of op and fop to the fractional part of op, rounded in the direction rnd with the corresponding precision of iop and fop.
- mpfr_remainder - Set r to the value of x - n * y, rounded according to the direction rnd, where n is the integer quotient of x divided by y, rounded to the nearest integer .
- mpfr_remquo - Set r to the value of x - n * y, rounded according to the direction rnd, where n is the integer quotient of x divided by y, rounded to the nearest integer .
- mpfr_rint - Set rop to op rounded to the nearest representable integer in the given direction rnd.
- mpfr_rint_ceil - Set rop to op rounded to the next higher or equal integer.
- mpfr_rint_floor - Set rop to op rounded to the next lower or equal integer.
- mpfr_rint_round - Set rop to op rounded to the nearest integer, rounding halfway cases away from zero.
- mpfr_rint_roundeven - Set rop to op rounded to the nearest integer, rounding halfway cases to the nearest even integer.
- mpfr_rint_trunc - Set rop to op rounded to the next integer toward zero.
- mpfr_round - Set rop to op rounded to the nearest representable integer, rounding halfway cases away from zero.
- mpfr_roundeven - Set rop to op rounded to the nearest representable integer, rounding halfway cases with the even-rounding rule zero (like mpfr_rint(mpfr_t, mpfr_t, mpfr_rnd_t) with MPFR_RNDZ).
- mpfr_trunc - Set rop to op rounded to the next representable integer toward zero (like mpfr_rint(mpfr_t, mpfr_t, mpfr_rnd_t) with MPFR_RNDZ).
Rounding Related Functions:
- mpfr_can_round - Return non-zero value if one is able to round correctly x to precision prec with the direction rnd2, and 0 otherwise.
- mpfr_get_default_rounding_mode - Get the default rounding mode.
- mpfr_min_prec - Return the minimal number of bits required to store the significand of x, and 0 for special values, including 0.
- mpfr_prec_round - Round x according to rnd with precision prec, which must be an integer between MPFR_PREC_MIN and MPFR_PREC_MAX.
- mpfr_print_rnd_mode - Return a string corresponding to the rounding mode rnd, or a null pointer if rnd is an invalid rounding mode.
- mpfr_set_default_rounding_mode - Set the default rounding mode to rnd.
Miscellaneous Functions:
- mpfr_buildopt_decimal_p - Return a non-zero value if MPFR was compiled with decimal float support, return zero otherwise.
- mpfr_buildopt_gmpinternals_p - Return a non-zero value if MPFR was compiled with GMP internals, return zero otherwise.
- mpfr_buildopt_sharedcache_p - Return a non-zero value if MPFR was compiled so that all threads share the same cache for one MPFR constant, return zero otherwise.
- mpfr_buildopt_tls_p - Return a non-zero value if MPFR was compiled as thread safe using compiler-level Thread Local Storage, return zero otherwise.
- mpfr_buildopt_float128_p - Return a non-zero value if MPFR was compiled with ‘__float128’ support, return zero otherwise.
- mpfr_buildopt_tune_case - Return a string saying which thresholds file has been used at compile time.
- mpfr_copysign - Set the value of rop from op1, rounded toward the given direction rnd, then set its sign bit to that of op2 .
- mpfr_get_patches - Return a null-terminated string containing the ids of the patches applied to the MPFR library , separated by spaces.
- mpfr_get_version - Return the MPFR version, as a null-terminated string.
- mpfr_nrandom - Generate one random float according to a standard normal gaussian distribution (with mean zero and variance one).
- mpfr_grandom - Generate two random floats according to a standard normal gaussian distribution (with mean zero and variance one).
- mpfr_erandom - Generate one random float according to an exponential distribution, with mean one.
- mpfr_max - Set rop to the maximum of op1 and op2.
- mpfr_min - Set rop to the minimum of op1 and op2.
- mpfr_nextabove - Equivalent to mpfr_nexttoward where y is plus infinity.
- mpfr_nextbelow - Equivalent to mpfr_nexttoward where y is minus infinity.
- mpfr_nexttoward - Replace x by the next floating-point number in the direction of y.
- mpfr_set_exp - Set the exponent of x if e is in the current exponent range.
- mpfr_setsign - Set the value of rop from op, rounded toward the given direction rnd, then set its sign bit if s is non-zero , even when op is a NaN.
- mpfr_signbit - Return a non-zero value iff op has its sign bit set .
- mpfr_urandom - Generate a uniformly distributed random float.
- mpfr_urandomb - Generate a uniformly distributed random float in the interval 0 ≤ rop < 1.
- MPFR_VERSION - MPFR_VERSION is the version of MPFR.
- MPFR_VERSION_MAJOR - MPFR_VERSION_MAJOR is the major MPFR version.
- MPFR_VERSION_MINOR - MPFR_VERSION_MINOR is the minor MPFR version.
- MPFR_VERSION_NUM - Create an integer in the same format as used by MPFR_VERSION from the given major, minor and patchlevel.
- MPFR_VERSION_PATCHLEVEL - MPFR_VERSION_PATCHLEVEL is the patch level of MPFR version.
- MPFR_VERSION_STRING - MPFR_VERSION_STRING is the version as a string constant.
- MPFR_PREC_MAX - The maximum number of bits that can be used to represent the significand of a floating-point number.
- MPFR_PREC_MIN - The minimum number of bits that can be used to represent the significand of a floating-point number.
Exception Related Functions:
- mpfr_check_range - Check that x is within the current range of acceptable values.
- mpfr_clear_divby0 - Clear (lower) the divide-by-zero flag.
- mpfr_clear_erangeflag - Clear (lower) the erange flag.
- mpfr_clear_flags - Clear (lower) all global flags .
- mpfr_clear_inexflag - Clear (lower) the inexact flag.
- mpfr_clear_nanflag - Clear (lower) the invalid flag.
- mpfr_clear_overflow - Clear (lower) the overflow flag.
- mpfr_clear_underflow - Clear (lower) the underflow flag.
- mpfr_divby0_p - Return the divide-by-zero flag, which is non-zero iff the flag is set.
- mpfr_erangeflag_p - Return the erange flag, which is non-zero iff the flag is set.
- mpfr_get_emax - Return the largest exponent allowed for a floating-point variable.
- mpfr_get_emax_max - Return the maximum exponent allowed for mpfr_set_emax.
- mpfr_get_emax_min - Return the minimum exponent allowed for mpfr_set_emax.
- mpfr_get_emin - Return the smallest exponent allowed for a floating-point variable.
- mpfr_get_emin_max - Return the maximum exponent allowed for mpfr_set_emin.
- mpfr_get_emin_min - Return the minimum exponent allowed for mpfr_set_emin.
- mpfr_get_exp - Return the exponent of x, assuming that x is a non-zero ordinary number and the significand is considered in [1/2,1).
- mpfr_inexflag_p - Return the inexact flag, which is non-zero iff the flag is set.
- mpfr_nanflag_p - Return the invalid flag, which is non-zero iff the flag is set.
- mpfr_overflow_p - Return the overflow flag, which is non-zero iff the flag is set.
- mpfr_set_divby0 - Set (raise) the divide-by-zero flag.
- mpfr_set_emax - Set the largest exponent allowed for a floating-point variable.
- mpfr_set_emin - Set the smallest exponent allowed for a floating-point variable.
- mpfr_set_erangeflag - Set (raise) the erange flag.
- mpfr_set_inexflag - Set (raise) the inexact flag.
- mpfr_set_nanflag - Set (raise) the invalid flag.
- mpfr_set_overflow - Set (raise) the overflow flag.
- mpfr_set_underflow - Set (raise) the underflow flag.
- mpfr_subnormalize - This function rounds x emulating subnormal number arithmetic.
- mpfr_underflow_p - Return the underflow flag, which is non-zero iff the flag is set.
- mpfr_flags_clear - Clear (lower) the group of flags specified by mask.
- mpfr_flags_set - Set (raise) the group of flags specified by mask.
- mpfr_flags_test - Return the flags specified by mask.
- mpfr_flags_save - Return all the flags.
- mpfr_flags_restore = Restore the flags specified by mask to their state represented in flags.
Compatibility With MPF:
- mpfr_div_2exp - This function is identical to mpfr_div_2ui.
- mpfr_eq - Return non-zero if op1 and op2 are both non-zero ordinary numbers with the same exponent and the same first op3 bits.
- mpfr_mul_2exp - This function is identical to mpfr_mul_2ui.
- mpfr_reldiff - Compute the relative difference between op1 and op2 and store the result in rop.
- mpfr_set_prec_raw - Reset the precision of x to be exactly prec bits.
Custom Interface:
- mpfr_custom_clear - Free the space occupied by x.
- mpfr_custom_get_exp - Return the exponent of x.
- mpfr_custom_get_kind - Return the current kind of a mpfr_t as created by mpfr_custom_init_set.
- mpfr_custom_get_significand - Return a pointer to the significand used by a mpfr_t initialized with mpfr_custom_init_set.
- mpfr_custom_get_size - Return the needed size in bytes to store the significand of a floating-point number of precision prec.
- mpfr_custom_init - Initialize a significand of precision prec.
- mpfr_custom_init_set - Perform a dummy initialization of a mpfr_t.
- mpfr_custom_move - Inform MPFR that the significand of x has moved due to a garbage collect and update its new position to new_position.
See Also