//===-- Utils used by both MPCWrapper and MPFRWrapper----------------------===// // // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. // See https://llvm.org/LICENSE.txt for license information. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception // //===----------------------------------------------------------------------===// #include "MPCommon.h" #include "src/__support/CPP/string_view.h" #include "src/__support/FPUtil/bfloat16.h" #include "src/__support/FPUtil/cast.h" #include "src/__support/macros/config.h" #include "src/__support/macros/properties/types.h" namespace LIBC_NAMESPACE_DECL { namespace testing { namespace mpfr { MPFRNumber::MPFRNumber() : mpfr_precision(256), mpfr_rounding(MPFR_RNDN) { mpfr_init2(value, mpfr_precision); } MPFRNumber::MPFRNumber(const MPFRNumber &other) : mpfr_precision(other.mpfr_precision), mpfr_rounding(other.mpfr_rounding) { mpfr_init2(value, mpfr_precision); mpfr_set(value, other.value, mpfr_rounding); } MPFRNumber::MPFRNumber(const MPFRNumber &other, unsigned int precision) : mpfr_precision(precision), mpfr_rounding(other.mpfr_rounding) { mpfr_init2(value, mpfr_precision); mpfr_set(value, other.value, mpfr_rounding); } MPFRNumber::MPFRNumber(const mpfr_t x, unsigned int precision, RoundingMode rounding) : mpfr_precision(precision), mpfr_rounding(get_mpfr_rounding_mode(rounding)) { mpfr_init2(value, mpfr_precision); mpfr_set(value, x, mpfr_rounding); } MPFRNumber::~MPFRNumber() { mpfr_clear(value); } MPFRNumber &MPFRNumber::operator=(const MPFRNumber &rhs) { mpfr_precision = rhs.mpfr_precision; mpfr_rounding = rhs.mpfr_rounding; mpfr_set(value, rhs.value, mpfr_rounding); return *this; } bool MPFRNumber::is_nan() const { return mpfr_nan_p(value); } MPFRNumber MPFRNumber::abs() const { MPFRNumber result(*this); mpfr_abs(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::acos() const { MPFRNumber result(*this); mpfr_acos(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::acosh() const { MPFRNumber result(*this); mpfr_acosh(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::acospi() const { MPFRNumber result(*this); #if MPFR_VERSION >= MPFR_VERSION_NUM(4, 2, 0) mpfr_acospi(result.value, value, mpfr_rounding); return result; #else MPFRNumber value_acos(0.0, 1280); mpfr_acos(value_acos.value, value, MPFR_RNDN); MPFRNumber value_pi(0.0, 1280); mpfr_const_pi(value_pi.value, MPFR_RNDN); mpfr_div(result.value, value_acos.value, value_pi.value, mpfr_rounding); return result; #endif } MPFRNumber MPFRNumber::add(const MPFRNumber &b) const { MPFRNumber result(*this); mpfr_add(result.value, value, b.value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::asin() const { MPFRNumber result(*this); mpfr_asin(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::asinh() const { MPFRNumber result(*this); mpfr_asinh(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::atan() const { MPFRNumber result(*this); mpfr_atan(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::atan2(const MPFRNumber &b) { MPFRNumber result(*this); mpfr_atan2(result.value, value, b.value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::atanh() const { MPFRNumber result(*this); mpfr_atanh(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::cbrt() const { MPFRNumber result(*this); mpfr_cbrt(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::ceil() const { MPFRNumber result(*this); mpfr_ceil(result.value, value); return result; } MPFRNumber MPFRNumber::cos() const { MPFRNumber result(*this); mpfr_cos(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::cosh() const { MPFRNumber result(*this); mpfr_cosh(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::cospi() const { MPFRNumber result(*this); #if MPFR_VERSION >= MPFR_VERSION_NUM(4, 2, 0) mpfr_cospi(result.value, value, mpfr_rounding); return result; #else if (mpfr_integer_p(value)) { mpz_t integer; mpz_init(integer); mpfr_get_z(integer, value, mpfr_rounding); int d = mpz_tstbit(integer, 0); mpfr_set_si(result.value, d ? -1 : 1, mpfr_rounding); mpz_clear(integer); return result; } MPFRNumber value_pi(0.0, 1280); mpfr_const_pi(value_pi.value, MPFR_RNDN); mpfr_mul(value_pi.value, value_pi.value, value, MPFR_RNDN); mpfr_cos(result.value, value_pi.value, mpfr_rounding); return result; #endif } MPFRNumber MPFRNumber::erf() const { MPFRNumber result(*this); mpfr_erf(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::exp() const { MPFRNumber result(*this); mpfr_exp(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::exp2() const { MPFRNumber result(*this); mpfr_exp2(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::exp2m1() const { // TODO: Only use mpfr_exp2m1 once CI and buildbots get MPFR >= 4.2.0. #if MPFR_VERSION >= MPFR_VERSION_NUM(4, 2, 0) MPFRNumber result(*this); mpfr_exp2m1(result.value, value, mpfr_rounding); return result; #else unsigned int prec = mpfr_precision * 3; MPFRNumber result(*this, prec); float f = mpfr_get_flt(abs().value, mpfr_rounding); if (f > 0.5f && f < 0x1.0p30f) { mpfr_exp2(result.value, value, mpfr_rounding); mpfr_sub_ui(result.value, result.value, 1, mpfr_rounding); return result; } MPFRNumber ln2(2.0f, prec); // log(2) mpfr_log(ln2.value, ln2.value, mpfr_rounding); // x * log(2) mpfr_mul(result.value, value, ln2.value, mpfr_rounding); // e^(x * log(2)) - 1 int ex = mpfr_expm1(result.value, result.value, mpfr_rounding); mpfr_subnormalize(result.value, ex, mpfr_rounding); return result; #endif } MPFRNumber MPFRNumber::exp10() const { MPFRNumber result(*this); mpfr_exp10(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::exp10m1() const { // TODO: Only use mpfr_exp10m1 once CI and buildbots get MPFR >= 4.2.0. #if MPFR_VERSION >= MPFR_VERSION_NUM(4, 2, 0) MPFRNumber result(*this); mpfr_exp10m1(result.value, value, mpfr_rounding); return result; #else unsigned int prec = mpfr_precision * 3; MPFRNumber result(*this, prec); MPFRNumber ln10(10.0f, prec); // log(10) mpfr_log(ln10.value, ln10.value, mpfr_rounding); // x * log(10) mpfr_mul(result.value, value, ln10.value, mpfr_rounding); // e^(x * log(10)) - 1 int ex = mpfr_expm1(result.value, result.value, mpfr_rounding); mpfr_subnormalize(result.value, ex, mpfr_rounding); return result; #endif } MPFRNumber MPFRNumber::expm1() const { MPFRNumber result(*this); mpfr_expm1(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::div(const MPFRNumber &b) const { MPFRNumber result(*this); mpfr_div(result.value, value, b.value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::floor() const { MPFRNumber result(*this); mpfr_floor(result.value, value); return result; } MPFRNumber MPFRNumber::fmod(const MPFRNumber &b) { MPFRNumber result(*this); mpfr_fmod(result.value, value, b.value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::frexp(int &exp) { MPFRNumber result(*this); mpfr_exp_t resultExp; mpfr_frexp(&resultExp, result.value, value, mpfr_rounding); exp = static_cast(resultExp); return result; } MPFRNumber MPFRNumber::hypot(const MPFRNumber &b) { MPFRNumber result(*this); mpfr_hypot(result.value, value, b.value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::log() const { MPFRNumber result(*this); mpfr_log(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::log2() const { MPFRNumber result(*this); mpfr_log2(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::log10() const { MPFRNumber result(*this); mpfr_log10(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::log1p() const { MPFRNumber result(*this); mpfr_log1p(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::pow(const MPFRNumber &b) { MPFRNumber result(*this); mpfr_pow(result.value, value, b.value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::remquo(const MPFRNumber &divisor, int "ient) { MPFRNumber remainder(*this); long q; mpfr_remquo(remainder.value, &q, value, divisor.value, mpfr_rounding); quotient = static_cast(q); return remainder; } MPFRNumber MPFRNumber::round() const { MPFRNumber result(*this); mpfr_round(result.value, value); return result; } MPFRNumber MPFRNumber::roundeven() const { MPFRNumber result(*this); #if MPFR_VERSION_MAJOR >= 4 mpfr_roundeven(result.value, value); #else mpfr_rint(result.value, value, MPFR_RNDN); #endif return result; } bool MPFRNumber::round_to_long(long &result) const { // We first calculate the rounded value. This way, when converting // to long using mpfr_get_si, the rounding direction of MPFR_RNDN // (or any other rounding mode), does not have an influence. MPFRNumber roundedValue = round(); mpfr_clear_erangeflag(); result = mpfr_get_si(roundedValue.value, MPFR_RNDN); return mpfr_erangeflag_p(); } bool MPFRNumber::round_to_long(mpfr_rnd_t rnd, long &result) const { MPFRNumber rint_result(*this); mpfr_rint(rint_result.value, value, rnd); return rint_result.round_to_long(result); } MPFRNumber MPFRNumber::rint(mpfr_rnd_t rnd) const { MPFRNumber result(*this); mpfr_rint(result.value, value, rnd); return result; } MPFRNumber MPFRNumber::mod_2pi() const { MPFRNumber result(0.0, 1280); MPFRNumber _2pi(0.0, 1280); mpfr_const_pi(_2pi.value, MPFR_RNDN); mpfr_mul_si(_2pi.value, _2pi.value, 2, MPFR_RNDN); mpfr_fmod(result.value, value, _2pi.value, MPFR_RNDN); return result; } MPFRNumber MPFRNumber::mod_pi_over_2() const { MPFRNumber result(0.0, 1280); MPFRNumber pi_over_2(0.0, 1280); mpfr_const_pi(pi_over_2.value, MPFR_RNDN); mpfr_mul_d(pi_over_2.value, pi_over_2.value, 0.5, MPFR_RNDN); mpfr_fmod(result.value, value, pi_over_2.value, MPFR_RNDN); return result; } MPFRNumber MPFRNumber::mod_pi_over_4() const { MPFRNumber result(0.0, 1280); MPFRNumber pi_over_4(0.0, 1280); mpfr_const_pi(pi_over_4.value, MPFR_RNDN); mpfr_mul_d(pi_over_4.value, pi_over_4.value, 0.25, MPFR_RNDN); mpfr_fmod(result.value, value, pi_over_4.value, MPFR_RNDN); return result; } MPFRNumber MPFRNumber::sin() const { MPFRNumber result(*this); mpfr_sin(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::sinpi() const { MPFRNumber result(*this); #if MPFR_VERSION >= MPFR_VERSION_NUM(4, 2, 0) mpfr_sinpi(result.value, value, mpfr_rounding); return result; #else if (mpfr_integer_p(value)) { mpfr_set_si(result.value, 0, mpfr_rounding); return result; } MPFRNumber value_mul_two(*this); mpfr_mul_si(value_mul_two.value, value, 2, MPFR_RNDN); if (mpfr_integer_p(value_mul_two.value)) { auto d = mpfr_get_si(value, MPFR_RNDD); mpfr_set_si(result.value, (d & 1) ? -1 : 1, mpfr_rounding); return result; } MPFRNumber value_pi(0.0, 1280); mpfr_const_pi(value_pi.value, MPFR_RNDN); mpfr_mul(value_pi.value, value_pi.value, value, MPFR_RNDN); mpfr_sin(result.value, value_pi.value, mpfr_rounding); return result; #endif } MPFRNumber MPFRNumber::sinh() const { MPFRNumber result(*this); mpfr_sinh(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::sqrt() const { MPFRNumber result(*this); mpfr_sqrt(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::sub(const MPFRNumber &b) const { MPFRNumber result(*this); mpfr_sub(result.value, value, b.value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::tan() const { MPFRNumber result(*this); mpfr_tan(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::tanh() const { MPFRNumber result(*this); mpfr_tanh(result.value, value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::tanpi() const { MPFRNumber result(*this); #if MPFR_VERSION >= MPFR_VERSION_NUM(4, 2, 0) mpfr_tanpi(result.value, value, mpfr_rounding); return result; #else MPFRNumber value_ret_exact(*this); MPFRNumber value_one(*this); mpfr_set_si(value_one.value, 1, MPFR_RNDN); mpfr_fmod(value_ret_exact.value, value, value_one.value, mpfr_rounding); mpfr_mul_si(value_ret_exact.value, value_ret_exact.value, 4, MPFR_RNDN); if (mpfr_integer_p(value_ret_exact.value)) { int mod = mpfr_get_si(value_ret_exact.value, MPFR_RNDN); mod = (mod < 0 ? -1 * mod : mod); switch (mod) { case 0: mpfr_set_si(result.value, 0, mpfr_rounding); break; case 1: mpfr_set_si(result.value, (mpfr_signbit(value) ? -1 : 1), mpfr_rounding); break; case 2: { auto d = mpfr_get_si(value, MPFR_RNDZ); d += mpfr_sgn(value) > 0 ? 0 : 1; mpfr_set_inf(result.value, (d & 1) ? -1 : 1); break; } case 3: mpfr_set_si(result.value, (mpfr_signbit(value) ? 1 : -1), mpfr_rounding); break; } return result; } MPFRNumber value_pi(0.0, 1280); mpfr_const_pi(value_pi.value, MPFR_RNDN); mpfr_mul(value_pi.value, value_pi.value, value, MPFR_RNDN); mpfr_tan(result.value, value_pi.value, mpfr_rounding); return result; #endif } MPFRNumber MPFRNumber::trunc() const { MPFRNumber result(*this); mpfr_trunc(result.value, value); return result; } MPFRNumber MPFRNumber::fma(const MPFRNumber &b, const MPFRNumber &c) { MPFRNumber result(*this); mpfr_fma(result.value, value, b.value, c.value, mpfr_rounding); return result; } MPFRNumber MPFRNumber::mul(const MPFRNumber &b) { MPFRNumber result(*this); mpfr_mul(result.value, value, b.value, mpfr_rounding); return result; } cpp::string MPFRNumber::str() const { // 200 bytes should be more than sufficient to hold a 100-digit number // plus additional bytes for the decimal point, '-' sign etc. constexpr size_t printBufSize = 200; char buffer[printBufSize]; mpfr_snprintf(buffer, printBufSize, "%100.50Rf", value); cpp::string_view view(buffer); // Trim whitespaces const char whitespace = ' '; while (!view.empty() && view.front() == whitespace) view.remove_prefix(1); while (!view.empty() && view.back() == whitespace) view.remove_suffix(1); return cpp::string(view.data()); } void MPFRNumber::dump(const char *msg) const { mpfr_printf("%s%.128g\n", msg, value); } template <> float MPFRNumber::as() const { return mpfr_get_flt(value, mpfr_rounding); } template <> double MPFRNumber::as() const { return mpfr_get_d(value, mpfr_rounding); } template <> long double MPFRNumber::as() const { return mpfr_get_ld(value, mpfr_rounding); } #ifdef LIBC_TYPES_HAS_FLOAT16 template <> float16 MPFRNumber::as() const { // TODO: Either prove that this cast won't cause double-rounding errors, or // find a better way to get a float16. return fputil::cast(mpfr_get_d(value, mpfr_rounding)); } #endif #ifdef LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE template <> float128 MPFRNumber::as() const { return mpfr_get_float128(value, mpfr_rounding); } #endif // LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE template <> bfloat16 MPFRNumber::as() const { return fputil::cast(mpfr_get_flt(value, mpfr_rounding)); } } // namespace mpfr } // namespace testing } // namespace LIBC_NAMESPACE_DECL