use float::Float; use int::{CastInto, Int}; fn trunc(a: F) -> R where F::Int: CastInto, F::Int: CastInto, u64: CastInto, u32: CastInto, R::Int: CastInto, u32: CastInto, F::Int: CastInto, { let src_zero = F::Int::ZERO; let src_one = F::Int::ONE; let src_bits = F::BITS; let src_exp_bias = F::EXPONENT_BIAS; let src_min_normal = F::IMPLICIT_BIT; let src_significand_mask = F::SIGNIFICAND_MASK; let src_infinity = F::EXPONENT_MASK; let src_sign_mask = F::SIGN_MASK; let src_abs_mask = src_sign_mask - src_one; let round_mask = (src_one << (F::SIGNIFICAND_BITS - R::SIGNIFICAND_BITS)) - src_one; let halfway = src_one << (F::SIGNIFICAND_BITS - R::SIGNIFICAND_BITS - 1); let src_qnan = src_one << (F::SIGNIFICAND_BITS - 1); let src_nan_code = src_qnan - src_one; let dst_zero = R::Int::ZERO; let dst_one = R::Int::ONE; let dst_bits = R::BITS; let dst_inf_exp = R::EXPONENT_MAX; let dst_exp_bias = R::EXPONENT_BIAS; let underflow_exponent: F::Int = (src_exp_bias + 1 - dst_exp_bias).cast(); let overflow_exponent: F::Int = (src_exp_bias + dst_inf_exp - dst_exp_bias).cast(); let underflow: F::Int = underflow_exponent << F::SIGNIFICAND_BITS; let overflow: F::Int = overflow_exponent << F::SIGNIFICAND_BITS; let dst_qnan = R::Int::ONE << (R::SIGNIFICAND_BITS - 1); let dst_nan_code = dst_qnan - dst_one; let sign_bits_delta = F::SIGNIFICAND_BITS - R::SIGNIFICAND_BITS; // Break a into a sign and representation of the absolute value. let a_abs = a.repr() & src_abs_mask; let sign = a.repr() & src_sign_mask; let mut abs_result: R::Int; if a_abs.wrapping_sub(underflow) < a_abs.wrapping_sub(overflow) { // The exponent of a is within the range of normal numbers in the // destination format. We can convert by simply right-shifting with // rounding and adjusting the exponent. abs_result = (a_abs >> sign_bits_delta).cast(); let tmp = src_exp_bias.wrapping_sub(dst_exp_bias) << R::SIGNIFICAND_BITS; abs_result = abs_result.wrapping_sub(tmp.cast()); let round_bits = a_abs & round_mask; if round_bits > halfway { // Round to nearest. abs_result += dst_one; } else if round_bits == halfway { // Tie to even. abs_result += abs_result & dst_one; }; } else if a_abs > src_infinity { // a is NaN. // Conjure the result by beginning with infinity, setting the qNaN // bit and inserting the (truncated) trailing NaN field. abs_result = (dst_inf_exp << R::SIGNIFICAND_BITS).cast(); abs_result |= dst_qnan; abs_result |= dst_nan_code & ((a_abs & src_nan_code) >> (F::SIGNIFICAND_BITS - R::SIGNIFICAND_BITS)).cast(); } else if a_abs >= overflow { // a overflows to infinity. abs_result = (dst_inf_exp << R::SIGNIFICAND_BITS).cast(); } else { // a underflows on conversion to the destination type or is an exact // zero. The result may be a denormal or zero. Extract the exponent // to get the shift amount for the denormalization. let a_exp: u32 = (a_abs >> F::SIGNIFICAND_BITS).cast(); let shift = src_exp_bias - dst_exp_bias - a_exp + 1; let significand = (a.repr() & src_significand_mask) | src_min_normal; // Right shift by the denormalization amount with sticky. if shift > F::SIGNIFICAND_BITS { abs_result = dst_zero; } else { let sticky = if (significand << (src_bits - shift)) != src_zero { src_one } else { src_zero }; let denormalized_significand: F::Int = significand >> shift | sticky; abs_result = (denormalized_significand >> (F::SIGNIFICAND_BITS - R::SIGNIFICAND_BITS)).cast(); let round_bits = denormalized_significand & round_mask; // Round to nearest if round_bits > halfway { abs_result += dst_one; } // Ties to even else if round_bits == halfway { abs_result += abs_result & dst_one; }; } } // Apply the signbit to the absolute value. R::from_repr(abs_result | sign.wrapping_shr(src_bits - dst_bits).cast()) } intrinsics! { #[aapcs_on_arm] #[arm_aeabi_alias = __aeabi_d2f] pub extern "C" fn __truncdfsf2(a: f64) -> f32 { trunc(a) } #[cfg(target_arch = "arm")] pub extern "C" fn __truncdfsf2vfp(a: f64) -> f32 { a as f32 } }