From 50ec828bafd154b5558c70ff46491193acf7f699 Mon Sep 17 00:00:00 2001 From: Andrew Waterman Date: Wed, 18 Aug 2010 14:34:42 -0700 Subject: [PATCH] [sim] integrated SoftFloat-3 with ISA sim; removed SoftFloat-2b --- configure | 46 + configure.ac | 2 +- riscv/decode.h | 38 +- riscv/insns/add_d.h | 2 +- riscv/insns/add_s.h | 2 +- riscv/insns/c_eq_d.h | 2 +- riscv/insns/c_eq_s.h | 2 +- riscv/insns/c_le_d.h | 2 +- riscv/insns/c_le_s.h | 2 +- riscv/insns/c_lt_d.h | 2 +- riscv/insns/c_lt_s.h | 2 +- riscv/insns/cvt_d_l.h | 2 +- riscv/insns/cvt_d_s.h | 2 +- riscv/insns/cvt_d_w.h | 2 +- riscv/insns/cvt_s_d.h | 2 +- riscv/insns/cvt_s_l.h | 2 +- riscv/insns/cvt_s_w.h | 2 +- riscv/insns/cvtu_d_l.h | 2 +- riscv/insns/cvtu_d_w.h | 2 +- riscv/insns/cvtu_s_l.h | 2 +- riscv/insns/cvtu_s_w.h | 2 +- riscv/insns/div_d.h | 2 +- riscv/insns/div_s.h | 2 +- riscv/insns/mul_d.h | 2 +- riscv/insns/mul_s.h | 2 +- riscv/insns/sqrt_d.h | 2 +- riscv/insns/sqrt_s.h | 2 +- riscv/insns/sub_d.h | 2 +- riscv/insns/sub_s.h | 2 +- riscv/insns/trunc_l_d.h | 2 +- riscv/insns/trunc_l_s.h | 2 +- riscv/insns/trunc_w_d.h | 2 +- riscv/insns/trunc_w_s.h | 2 +- riscv/insns/truncu_l_d.h | 2 +- riscv/insns/truncu_l_s.h | 2 +- riscv/insns/truncu_w_d.h | 2 +- riscv/insns/truncu_w_s.h | 2 +- riscv/riscv.mk.in | 4 +- .../source => }/8086/OLD-specialize.c | 0 .../source => }/8086/OLD-specialize.h | 0 .../{SoftFloat-3/source => }/8086/platform.h | 0 .../source => }/8086/s_commonNaNToF32UI.c | 0 .../source => }/8086/s_commonNaNToF64UI.c | 0 .../source => }/8086/s_f32UIToCommonNaN.c | 0 .../source => }/8086/s_f64UIToCommonNaN.c | 0 .../source => }/8086/s_isSigNaNF32UI.c | 0 .../source => }/8086/s_isSigNaNF64UI.c | 0 .../source => }/8086/s_propagateNaNF32UI.c | 0 .../source => }/8086/s_propagateNaNF64UI.c | 0 .../source => }/8086/softfloat_raiseFlags.c | 0 .../source => }/8086/softfloat_types.h | 0 .../source => }/8086/specialize.h | 0 softfloat/SoftFloat-3/source/OLD-softfloat.c | 2962 ---------- softfloat/SoftFloat-3/source/softfloat.h | 225 - .../source/f32_add.c => f32_add.cc} | 0 .../source/f32_div.c => f32_div.cc} | 0 .../source/f32_eq.c => f32_eq.cc} | 0 ...f32_eq_signaling.c => f32_eq_signaling.cc} | 0 ...isSignalingNaN.c => f32_isSignalingNaN.cc} | 0 .../source/f32_le.c => f32_le.cc} | 0 .../source/f32_le_quiet.c => f32_le_quiet.cc} | 0 .../source/f32_lt.c => f32_lt.cc} | 0 .../source/f32_lt_quiet.c => f32_lt_quiet.cc} | 0 .../source/f32_mul.c => f32_mul.cc} | 0 .../source/f32_mulAdd.c => f32_mulAdd.cc} | 0 .../source/f32_rem.c => f32_rem.cc} | 0 .../f32_roundToInt.c => f32_roundToInt.cc} | 0 .../source/f32_sqrt.c => f32_sqrt.cc} | 0 .../source/f32_sub.c => f32_sub.cc} | 0 .../source/f32_to_f64.c => f32_to_f64.cc} | 0 .../source/f32_to_i32.c => f32_to_i32.cc} | 0 ..._i32_r_minMag.c => f32_to_i32_r_minMag.cc} | 0 .../source/f32_to_i64.c => f32_to_i64.cc} | 0 ..._i64_r_minMag.c => f32_to_i64_r_minMag.cc} | 0 .../source/f32_to_ui32.c => f32_to_ui32.cc} | 0 ...i32_r_minMag.c => f32_to_ui32_r_minMag.cc} | 0 .../source/f32_to_ui64.c => f32_to_ui64.cc} | 0 ...i64_r_minMag.c => f32_to_ui64_r_minMag.cc} | 0 .../source/f64_add.c => f64_add.cc} | 0 .../source/f64_div.c => f64_div.cc} | 0 .../source/f64_eq.c => f64_eq.cc} | 0 ...f64_eq_signaling.c => f64_eq_signaling.cc} | 0 ...isSignalingNaN.c => f64_isSignalingNaN.cc} | 0 .../source/f64_le.c => f64_le.cc} | 0 .../source/f64_le_quiet.c => f64_le_quiet.cc} | 0 .../source/f64_lt.c => f64_lt.cc} | 0 .../source/f64_lt_quiet.c => f64_lt_quiet.cc} | 0 .../source/f64_mul.c => f64_mul.cc} | 0 .../source/f64_mulAdd.c => f64_mulAdd.cc} | 0 .../source/f64_rem.c => f64_rem.cc} | 0 .../f64_roundToInt.c => f64_roundToInt.cc} | 0 .../source/f64_sqrt.c => f64_sqrt.cc} | 0 .../source/f64_sub.c => f64_sub.cc} | 0 .../source/f64_to_f32.c => f64_to_f32.cc} | 0 .../source/f64_to_i32.c => f64_to_i32.cc} | 0 ..._i32_r_minMag.c => f64_to_i32_r_minMag.cc} | 0 .../source/f64_to_i64.c => f64_to_i64.cc} | 0 ..._i64_r_minMag.c => f64_to_i64_r_minMag.cc} | 0 .../source/f64_to_ui32.c => f64_to_ui32.cc} | 0 ...i32_r_minMag.c => f64_to_ui32_r_minMag.cc} | 0 .../source/f64_to_ui64.c => f64_to_ui64.cc} | 0 ...i64_r_minMag.c => f64_to_ui64_r_minMag.cc} | 0 .../source/i32_to_f32.c => i32_to_f32.cc} | 0 .../source/i32_to_f64.c => i32_to_f64.cc} | 0 .../source/i64_to_f32.c => i64_to_f32.cc} | 0 .../source/i64_to_f64.c => i64_to_f64.cc} | 0 .../{SoftFloat-3/source => }/internals.h | 8 +- softfloat/milieu.h | 68 - .../{SoftFloat-3/source => }/primitives.h | 0 .../source/s_add128.c => s_add128.cc} | 0 .../source/s_add192.c => s_add192.cc} | 0 .../source/s_addMagsF32.c => s_addMagsF32.cc} | 0 .../source/s_addMagsF64.c => s_addMagsF64.cc} | 0 ...dingZeros32.c => s_countLeadingZeros32.cc} | 0 ...dingZeros64.c => s_countLeadingZeros64.cc} | 1 + ...eadingZeros8.c => s_countLeadingZeros8.cc} | 0 .../source/s_eq128.c => s_eq128.cc} | 0 ...teDiv128To64.c => s_estimateDiv128To64.cc} | 0 ...s_estimateSqrt32.c => s_estimateSqrt32.cc} | 0 .../source/s_le128.c => s_le128.cc} | 0 .../source/s_lt128.c => s_lt128.cc} | 0 ...mul128By64To192.c => s_mul128By64To192.cc} | 0 .../s_mul128To256.c => s_mul128To256.cc} | 0 .../source/s_mul64To128.c => s_mul64To128.cc} | 0 .../source/s_mulAddF32.c => s_mulAddF32.cc} | 0 .../source/s_mulAddF64.c => s_mulAddF64.cc} | 0 ...undPackToF32.c => s_normRoundPackToF32.cc} | 0 ...undPackToF64.c => s_normRoundPackToF64.cc} | 0 ...ormalF32Sig.c => s_normSubnormalF32Sig.cc} | 0 ...ormalF64Sig.c => s_normSubnormalF64Sig.cc} | 0 ...s_roundPackToF32.c => s_roundPackToF32.cc} | 0 ...s_roundPackToF64.c => s_roundPackToF64.cc} | 0 ...s_roundPackToI32.c => s_roundPackToI32.cc} | 0 ...s_roundPackToI64.c => s_roundPackToI64.cc} | 0 ...roundPackToUI32.c => s_roundPackToUI32.cc} | 0 ...roundPackToUI64.c => s_roundPackToUI64.cc} | 0 ...aRightJam.c => s_shift128ExtraRightJam.cc} | 0 ...ift128RightJam.c => s_shift128RightJam.cc} | 0 ...shift32RightJam.c => s_shift32RightJam.cc} | 0 ...raRightJam.c => s_shift64ExtraRightJam.cc} | 0 ...shift64RightJam.c => s_shift64RightJam.cc} | 0 ...tJam.c => s_shortShift128ExtraRightJam.cc} | 0 ...tShift128Left.c => s_shortShift128Left.cc} | 0 ...hift128Right.c => s_shortShift128Right.cc} | 0 ...tShift192Left.c => s_shortShift192Left.cc} | 0 ...Right1Jam.c => s_shortShift32Right1Jam.cc} | 0 ...htJam.c => s_shortShift64ExtraRightJam.cc} | 0 ...64RightJam.c => s_shortShift64RightJam.cc} | 0 .../source/s_sub128.c => s_sub128.cc} | 0 .../source/s_sub192.c => s_sub192.cc} | 0 .../source/s_subMagsF32.c => s_subMagsF32.cc} | 0 .../source/s_subMagsF64.c => s_subMagsF64.cc} | 0 softfloat/softfloat-header | 259 - softfloat/softfloat-macros | 720 --- softfloat/softfloat-specialize | 412 -- softfloat/softfloat.c | 5188 ----------------- softfloat/softfloat.cc | 1 - softfloat/softfloat.h | 239 +- softfloat/softfloat.mk.in | 111 +- .../softfloat_state.c => softfloat_state.cc} | 0 .../source/ui32_to_f32.c => ui32_to_f32.cc} | 0 .../source/ui32_to_f64.c => ui32_to_f64.cc} | 0 .../source/ui64_to_f32.c => ui64_to_f32.cc} | 0 .../source/ui64_to_f64.c => ui64_to_f64.cc} | 0 .../riscv => softfloat_riscv}/platform.h | 4 + .../s_commonNaNToF32UI.cc | 0 .../s_commonNaNToF64UI.cc | 0 .../s_f32UIToCommonNaN.cc | 0 .../s_f64UIToCommonNaN.cc | 0 .../s_isSigNaNF32UI.cc | 0 .../s_isSigNaNF64UI.cc | 0 .../s_propagateNaNF32UI.cc | 0 .../s_propagateNaNF64UI.cc | 0 .../softfloat_raiseFlags.cc | 0 softfloat_riscv/softfloat_riscv.ac | 0 softfloat_riscv/softfloat_riscv.mk.in | 21 + .../softfloat_types.h | 4 +- .../riscv => softfloat_riscv}/specialize.h | 0 178 files changed, 461 insertions(+), 9920 deletions(-) rename softfloat/{SoftFloat-3/source => }/8086/OLD-specialize.c (100%) rename softfloat/{SoftFloat-3/source => }/8086/OLD-specialize.h (100%) rename softfloat/{SoftFloat-3/source => }/8086/platform.h (100%) rename softfloat/{SoftFloat-3/source => }/8086/s_commonNaNToF32UI.c (100%) rename softfloat/{SoftFloat-3/source => }/8086/s_commonNaNToF64UI.c (100%) rename softfloat/{SoftFloat-3/source => }/8086/s_f32UIToCommonNaN.c (100%) rename softfloat/{SoftFloat-3/source => }/8086/s_f64UIToCommonNaN.c (100%) rename softfloat/{SoftFloat-3/source => }/8086/s_isSigNaNF32UI.c (100%) rename softfloat/{SoftFloat-3/source => }/8086/s_isSigNaNF64UI.c (100%) rename softfloat/{SoftFloat-3/source => }/8086/s_propagateNaNF32UI.c (100%) rename softfloat/{SoftFloat-3/source => }/8086/s_propagateNaNF64UI.c (100%) rename softfloat/{SoftFloat-3/source => }/8086/softfloat_raiseFlags.c (100%) rename softfloat/{SoftFloat-3/source => }/8086/softfloat_types.h (100%) rename softfloat/{SoftFloat-3/source => }/8086/specialize.h (100%) delete mode 100755 softfloat/SoftFloat-3/source/OLD-softfloat.c delete mode 100755 softfloat/SoftFloat-3/source/softfloat.h rename softfloat/{SoftFloat-3/source/f32_add.c => f32_add.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_div.c => f32_div.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_eq.c => f32_eq.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_eq_signaling.c => f32_eq_signaling.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_isSignalingNaN.c => f32_isSignalingNaN.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_le.c => f32_le.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_le_quiet.c => f32_le_quiet.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_lt.c => f32_lt.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_lt_quiet.c => f32_lt_quiet.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_mul.c => f32_mul.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_mulAdd.c => f32_mulAdd.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_rem.c => f32_rem.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_roundToInt.c => f32_roundToInt.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_sqrt.c => f32_sqrt.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_sub.c => f32_sub.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_to_f64.c => f32_to_f64.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_to_i32.c => f32_to_i32.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_to_i32_r_minMag.c => f32_to_i32_r_minMag.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_to_i64.c => f32_to_i64.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_to_i64_r_minMag.c => f32_to_i64_r_minMag.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_to_ui32.c => f32_to_ui32.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_to_ui32_r_minMag.c => f32_to_ui32_r_minMag.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_to_ui64.c => f32_to_ui64.cc} (100%) rename softfloat/{SoftFloat-3/source/f32_to_ui64_r_minMag.c => f32_to_ui64_r_minMag.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_add.c => f64_add.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_div.c => f64_div.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_eq.c => f64_eq.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_eq_signaling.c => f64_eq_signaling.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_isSignalingNaN.c => f64_isSignalingNaN.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_le.c => f64_le.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_le_quiet.c => f64_le_quiet.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_lt.c => f64_lt.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_lt_quiet.c => f64_lt_quiet.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_mul.c => f64_mul.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_mulAdd.c => f64_mulAdd.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_rem.c => f64_rem.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_roundToInt.c => f64_roundToInt.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_sqrt.c => f64_sqrt.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_sub.c => f64_sub.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_to_f32.c => f64_to_f32.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_to_i32.c => f64_to_i32.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_to_i32_r_minMag.c => f64_to_i32_r_minMag.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_to_i64.c => f64_to_i64.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_to_i64_r_minMag.c => f64_to_i64_r_minMag.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_to_ui32.c => f64_to_ui32.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_to_ui32_r_minMag.c => f64_to_ui32_r_minMag.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_to_ui64.c => f64_to_ui64.cc} (100%) rename softfloat/{SoftFloat-3/source/f64_to_ui64_r_minMag.c => f64_to_ui64_r_minMag.cc} (100%) rename softfloat/{SoftFloat-3/source/i32_to_f32.c => i32_to_f32.cc} (100%) rename softfloat/{SoftFloat-3/source/i32_to_f64.c => i32_to_f64.cc} (100%) rename softfloat/{SoftFloat-3/source/i64_to_f32.c => i64_to_f32.cc} (100%) rename softfloat/{SoftFloat-3/source/i64_to_f64.c => i64_to_f64.cc} (100%) rename softfloat/{SoftFloat-3/source => }/internals.h (96%) delete mode 100644 softfloat/milieu.h rename softfloat/{SoftFloat-3/source => }/primitives.h (100%) rename softfloat/{SoftFloat-3/source/s_add128.c => s_add128.cc} (100%) rename softfloat/{SoftFloat-3/source/s_add192.c => s_add192.cc} (100%) rename softfloat/{SoftFloat-3/source/s_addMagsF32.c => s_addMagsF32.cc} (100%) rename softfloat/{SoftFloat-3/source/s_addMagsF64.c => s_addMagsF64.cc} (100%) rename softfloat/{SoftFloat-3/source/s_countLeadingZeros32.c => s_countLeadingZeros32.cc} (100%) rename softfloat/{SoftFloat-3/source/s_countLeadingZeros64.c => s_countLeadingZeros64.cc} (96%) rename softfloat/{SoftFloat-3/source/s_countLeadingZeros8.c => s_countLeadingZeros8.cc} (100%) rename softfloat/{SoftFloat-3/source/s_eq128.c => s_eq128.cc} (100%) rename softfloat/{SoftFloat-3/source/s_estimateDiv128To64.c => s_estimateDiv128To64.cc} (100%) rename softfloat/{SoftFloat-3/source/s_estimateSqrt32.c => s_estimateSqrt32.cc} (100%) rename softfloat/{SoftFloat-3/source/s_le128.c => s_le128.cc} (100%) rename softfloat/{SoftFloat-3/source/s_lt128.c => s_lt128.cc} (100%) rename softfloat/{SoftFloat-3/source/s_mul128By64To192.c => s_mul128By64To192.cc} (100%) rename softfloat/{SoftFloat-3/source/s_mul128To256.c => s_mul128To256.cc} (100%) rename softfloat/{SoftFloat-3/source/s_mul64To128.c => s_mul64To128.cc} (100%) rename softfloat/{SoftFloat-3/source/s_mulAddF32.c => s_mulAddF32.cc} (100%) rename softfloat/{SoftFloat-3/source/s_mulAddF64.c => s_mulAddF64.cc} (100%) rename softfloat/{SoftFloat-3/source/s_normRoundPackToF32.c => s_normRoundPackToF32.cc} (100%) rename softfloat/{SoftFloat-3/source/s_normRoundPackToF64.c => s_normRoundPackToF64.cc} (100%) rename softfloat/{SoftFloat-3/source/s_normSubnormalF32Sig.c => s_normSubnormalF32Sig.cc} (100%) rename softfloat/{SoftFloat-3/source/s_normSubnormalF64Sig.c => s_normSubnormalF64Sig.cc} (100%) rename softfloat/{SoftFloat-3/source/s_roundPackToF32.c => s_roundPackToF32.cc} (100%) rename softfloat/{SoftFloat-3/source/s_roundPackToF64.c => s_roundPackToF64.cc} (100%) rename softfloat/{SoftFloat-3/source/s_roundPackToI32.c => s_roundPackToI32.cc} (100%) rename softfloat/{SoftFloat-3/source/s_roundPackToI64.c => s_roundPackToI64.cc} (100%) rename softfloat/{SoftFloat-3/source/s_roundPackToUI32.c => s_roundPackToUI32.cc} (100%) rename softfloat/{SoftFloat-3/source/s_roundPackToUI64.c => s_roundPackToUI64.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shift128ExtraRightJam.c => s_shift128ExtraRightJam.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shift128RightJam.c => s_shift128RightJam.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shift32RightJam.c => s_shift32RightJam.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shift64ExtraRightJam.c => s_shift64ExtraRightJam.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shift64RightJam.c => s_shift64RightJam.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shortShift128ExtraRightJam.c => s_shortShift128ExtraRightJam.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shortShift128Left.c => s_shortShift128Left.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shortShift128Right.c => s_shortShift128Right.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shortShift192Left.c => s_shortShift192Left.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shortShift32Right1Jam.c => s_shortShift32Right1Jam.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shortShift64ExtraRightJam.c => s_shortShift64ExtraRightJam.cc} (100%) rename softfloat/{SoftFloat-3/source/s_shortShift64RightJam.c => s_shortShift64RightJam.cc} (100%) rename softfloat/{SoftFloat-3/source/s_sub128.c => s_sub128.cc} (100%) rename softfloat/{SoftFloat-3/source/s_sub192.c => s_sub192.cc} (100%) rename softfloat/{SoftFloat-3/source/s_subMagsF32.c => s_subMagsF32.cc} (100%) rename softfloat/{SoftFloat-3/source/s_subMagsF64.c => s_subMagsF64.cc} (100%) delete mode 100644 softfloat/softfloat-header delete mode 100644 softfloat/softfloat-macros delete mode 100644 softfloat/softfloat-specialize delete mode 100644 softfloat/softfloat.c delete mode 100644 softfloat/softfloat.cc mode change 100644 => 100755 softfloat/softfloat.h rename softfloat/{SoftFloat-3/source/softfloat_state.c => softfloat_state.cc} (100%) rename softfloat/{SoftFloat-3/source/ui32_to_f32.c => ui32_to_f32.cc} (100%) rename softfloat/{SoftFloat-3/source/ui32_to_f64.c => ui32_to_f64.cc} (100%) rename softfloat/{SoftFloat-3/source/ui64_to_f32.c => ui64_to_f32.cc} (100%) rename softfloat/{SoftFloat-3/source/ui64_to_f64.c => ui64_to_f64.cc} (100%) rename {softfloat/SoftFloat-3/source/riscv => softfloat_riscv}/platform.h (95%) rename softfloat/SoftFloat-3/source/riscv/s_commonNaNToF32UI.c => softfloat_riscv/s_commonNaNToF32UI.cc (100%) rename softfloat/SoftFloat-3/source/riscv/s_commonNaNToF64UI.c => softfloat_riscv/s_commonNaNToF64UI.cc (100%) rename softfloat/SoftFloat-3/source/riscv/s_f32UIToCommonNaN.c => softfloat_riscv/s_f32UIToCommonNaN.cc (100%) rename softfloat/SoftFloat-3/source/riscv/s_f64UIToCommonNaN.c => softfloat_riscv/s_f64UIToCommonNaN.cc (100%) rename softfloat/SoftFloat-3/source/riscv/s_isSigNaNF32UI.c => softfloat_riscv/s_isSigNaNF32UI.cc (100%) rename softfloat/SoftFloat-3/source/riscv/s_isSigNaNF64UI.c => softfloat_riscv/s_isSigNaNF64UI.cc (100%) rename softfloat/SoftFloat-3/source/riscv/s_propagateNaNF32UI.c => softfloat_riscv/s_propagateNaNF32UI.cc (100%) rename softfloat/SoftFloat-3/source/riscv/s_propagateNaNF64UI.c => softfloat_riscv/s_propagateNaNF64UI.cc (100%) rename softfloat/SoftFloat-3/source/riscv/softfloat_raiseFlags.c => softfloat_riscv/softfloat_raiseFlags.cc (100%) create mode 100644 softfloat_riscv/softfloat_riscv.ac create mode 100644 softfloat_riscv/softfloat_riscv.mk.in rename {softfloat/SoftFloat-3/source/riscv => softfloat_riscv}/softfloat_types.h (73%) rename {softfloat/SoftFloat-3/source/riscv => softfloat_riscv}/specialize.h (100%) diff --git a/configure b/configure index 5e9e2a3..30b9fc3 100755 --- a/configure +++ b/configure @@ -4169,6 +4169,51 @@ $as_echo "#define SOFTFLOAT_ENABLED /**/" >>confdefs.h + # Determine if this is a required or an optional subproject + + + + # Determine if there is a group with the same name + + + + # Create variations of the subproject name suitable for use as a CPP + # enabled define, a shell enabled variable, and a shell function + + + + + + + + + + + + # Add subproject to our running list + + subprojects="$subprojects softfloat_riscv" + + # Process the subproject appropriately. If enabled add it to the + # $enabled_subprojects running shell variable, set a + # SUBPROJECT_ENABLED C define, and include the appropriate + # 'subproject.ac'. + + + { $as_echo "$as_me:${as_lineno-$LINENO}: configuring default subproject : softfloat_riscv" >&5 +$as_echo "$as_me: configuring default subproject : softfloat_riscv" >&6;} + ac_config_files="$ac_config_files softfloat_riscv.mk:softfloat_riscv/softfloat_riscv.mk.in" + + enable_softfloat_riscv_sproj="yes" + subprojects_enabled="$subprojects_enabled softfloat_riscv" + +$as_echo "#define SOFTFLOAT_RISCV_ENABLED /**/" >>confdefs.h + + + + + + # Output make variables @@ -4876,6 +4921,7 @@ do case $ac_config_target in "riscv.mk") CONFIG_FILES="$CONFIG_FILES riscv.mk:riscv/riscv.mk.in" ;; "softfloat.mk") CONFIG_FILES="$CONFIG_FILES softfloat.mk:softfloat/softfloat.mk.in" ;; + "softfloat_riscv.mk") CONFIG_FILES="$CONFIG_FILES softfloat_riscv.mk:softfloat_riscv/softfloat_riscv.mk.in" ;; "config.h") CONFIG_HEADERS="$CONFIG_HEADERS config.h" ;; "Makefile") CONFIG_FILES="$CONFIG_FILES Makefile" ;; diff --git a/configure.ac b/configure.ac index 967e7c4..60abb71 100644 --- a/configure.ac +++ b/configure.ac @@ -81,7 +81,7 @@ AC_SUBST([CXXFLAGS],["-Wall -O2"]) # The '*' suffix indicates an optional subproject. The '**' suffix # indicates an optional subproject which is also the name of a group. -MCPPBS_SUBPROJECTS([ riscv, softfloat ]) +MCPPBS_SUBPROJECTS([ riscv, softfloat, softfloat_riscv ]) #------------------------------------------------------------------------- # MCPPBS subproject groups diff --git a/riscv/decode.h b/riscv/decode.h index 424ad7f..1b631ae 100644 --- a/riscv/decode.h +++ b/riscv/decode.h @@ -38,20 +38,21 @@ const int BIGIMM_BITS = 20; #define SR_IM 0x000000000000FF00ULL #define SR_ZERO ~(SR_ET | SR_PS | SR_S | SR_EF | SR_UX | SR_KX | SR_IM) -#define FP_RD_NE 0 -#define FP_RD_0 1 -#define FP_RD_UP 2 -#define FP_RD_DN 3 +#define FP_RD_NE 0 +#define FP_RD_0 1 +#define FP_RD_DN 2 +#define FP_RD_UP 3 +#define FP_RD_NMM 4 #define FSR_RD_SHIFT 10 -#define FSR_RD (0x3 << FSR_RD_SHIFT) +#define FSR_RD (0x7 << FSR_RD_SHIFT) -#define FPEXC_NV 0x10 -#define FPEXC_OF 0x08 -#define FPEXC_UF 0x04 -#define FPEXC_DZ 0x02 #define FPEXC_NX 0x01 +#define FPEXC_UF 0x02 +#define FPEXC_OF 0x04 +#define FPEXC_DZ 0x02 +#define FPEXC_NV 0x10 -#define FSR_AEXC_SHIFT 5 +#define FSR_AEXC_SHIFT 0 #define FSR_NVA (FPEXC_NV << FSR_AEXC_SHIFT) #define FSR_OFA (FPEXC_OF << FSR_AEXC_SHIFT) #define FSR_UFA (FPEXC_UF << FSR_AEXC_SHIFT) @@ -59,15 +60,7 @@ const int BIGIMM_BITS = 20; #define FSR_NXA (FPEXC_NX << FSR_AEXC_SHIFT) #define FSR_AEXC (FSR_NVA | FSR_OFA | FSR_UFA | FSR_DZA | FSR_NXA) -#define FSR_CEXC_SHIFT 0 -#define FSR_NVC (FPEXC_NV << FSR_AEXC_SHIFT) -#define FSR_OFC (FPEXC_OF << FSR_AEXC_SHIFT) -#define FSR_UFC (FPEXC_UF << FSR_AEXC_SHIFT) -#define FSR_DZC (FPEXC_DZ << FSR_AEXC_SHIFT) -#define FSR_NXC (FPEXC_NX << FSR_AEXC_SHIFT) -#define FSR_CEXC (FSR_NVC | FSR_OFC | FSR_UFC | FSR_DZC | FSR_NXC) - -#define FSR_ZERO ~(FSR_RD | FSR_AEXC | FSR_CEXC) +#define FSR_ZERO ~(FSR_RD | FSR_AEXC) // note: bit fields are in little-endian order struct itype_t @@ -143,10 +136,9 @@ union insn_t #define require64 if(gprlen != 64) throw trap_illegal_instruction #define require_fp if(!(sr & SR_EF)) throw trap_fp_disabled #define cmp_trunc(reg) (reg_t(reg) << (64-gprlen)) -#define set_fp_exceptions ({ set_fsr((fsr & ~FSR_CEXC) | \ - (float_exception_flags << FSR_AEXC_SHIFT) | \ - (float_exception_flags << FSR_CEXC_SHIFT)); \ - float_exception_flags = 0; }) +#define set_fp_exceptions ({ set_fsr(fsr | \ + (softfloat_exceptionFlags << FSR_AEXC_SHIFT)); \ + softfloat_exceptionFlags = 0; }) static inline sreg_t sext32(int32_t arg) { diff --git a/riscv/insns/add_d.h b/riscv/insns/add_d.h index bd0f55a..964aa20 100644 --- a/riscv/insns/add_d.h +++ b/riscv/insns/add_d.h @@ -1,3 +1,3 @@ require_fp; -FRC = float64_add(FRA, FRB); +FRC = f64_add(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/add_s.h b/riscv/insns/add_s.h index b4f98f6..d4d0cd6 100644 --- a/riscv/insns/add_s.h +++ b/riscv/insns/add_s.h @@ -1,3 +1,3 @@ require_fp; -FRC = float32_add(FRA, FRB); +FRC = f32_add(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/c_eq_d.h b/riscv/insns/c_eq_d.h index 4387ea3..cc7b77a 100644 --- a/riscv/insns/c_eq_d.h +++ b/riscv/insns/c_eq_d.h @@ -1,3 +1,3 @@ require_fp; -RC = float64_eq(FRA, FRB); +RC = f64_eq(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/c_eq_s.h b/riscv/insns/c_eq_s.h index 062fb74..5500c4c 100644 --- a/riscv/insns/c_eq_s.h +++ b/riscv/insns/c_eq_s.h @@ -1,3 +1,3 @@ require_fp; -RC = float32_eq(FRA, FRB); +RC = f32_eq(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/c_le_d.h b/riscv/insns/c_le_d.h index 24ea657..2fe6f32 100644 --- a/riscv/insns/c_le_d.h +++ b/riscv/insns/c_le_d.h @@ -1,3 +1,3 @@ require_fp; -RC = float64_le(FRA, FRB); +RC = f64_le(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/c_le_s.h b/riscv/insns/c_le_s.h index 107622f..e6e26b3 100644 --- a/riscv/insns/c_le_s.h +++ b/riscv/insns/c_le_s.h @@ -1,3 +1,3 @@ require_fp; -RC = float32_le(FRA, FRB); +RC = f32_le(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/c_lt_d.h b/riscv/insns/c_lt_d.h index 3d42500..3f3756d 100644 --- a/riscv/insns/c_lt_d.h +++ b/riscv/insns/c_lt_d.h @@ -1,3 +1,3 @@ require_fp; -RC = float64_lt(FRA, FRB); +RC = f64_lt(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/c_lt_s.h b/riscv/insns/c_lt_s.h index 1f7a0e1..aef7334 100644 --- a/riscv/insns/c_lt_s.h +++ b/riscv/insns/c_lt_s.h @@ -1,3 +1,3 @@ require_fp; -RC = float32_lt(FRA, FRB); +RC = f32_lt(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/cvt_d_l.h b/riscv/insns/cvt_d_l.h index 5246f6f..808d20c 100644 --- a/riscv/insns/cvt_d_l.h +++ b/riscv/insns/cvt_d_l.h @@ -1,3 +1,3 @@ require_fp; -FRC = int64_to_float64(FRA); +FRC = i64_to_f64(FRA); set_fp_exceptions; diff --git a/riscv/insns/cvt_d_s.h b/riscv/insns/cvt_d_s.h index 481a4d1..69206e1 100644 --- a/riscv/insns/cvt_d_s.h +++ b/riscv/insns/cvt_d_s.h @@ -1,3 +1,3 @@ require_fp; -FRC = float32_to_float64(FRA); +FRC = f32_to_f64(FRA); set_fp_exceptions; diff --git a/riscv/insns/cvt_d_w.h b/riscv/insns/cvt_d_w.h index 67702a2..e1c36f2 100644 --- a/riscv/insns/cvt_d_w.h +++ b/riscv/insns/cvt_d_w.h @@ -1,3 +1,3 @@ require_fp; -FRC = int32_to_float64(FRA); +FRC = i32_to_f64(FRA); set_fp_exceptions; diff --git a/riscv/insns/cvt_s_d.h b/riscv/insns/cvt_s_d.h index 528f11c..0ee755e 100644 --- a/riscv/insns/cvt_s_d.h +++ b/riscv/insns/cvt_s_d.h @@ -1,3 +1,3 @@ require_fp; -FRC = float64_to_float32(FRA); +FRC = f64_to_f32(FRA); set_fp_exceptions; diff --git a/riscv/insns/cvt_s_l.h b/riscv/insns/cvt_s_l.h index 2d1f93a..66e4566 100644 --- a/riscv/insns/cvt_s_l.h +++ b/riscv/insns/cvt_s_l.h @@ -1,3 +1,3 @@ require_fp; -FRC = int64_to_float32(FRA); +FRC = i64_to_f32(FRA); set_fp_exceptions; diff --git a/riscv/insns/cvt_s_w.h b/riscv/insns/cvt_s_w.h index c2d583f..5bbe61f 100644 --- a/riscv/insns/cvt_s_w.h +++ b/riscv/insns/cvt_s_w.h @@ -1,3 +1,3 @@ require_fp; -FRC = int32_to_float32(FRA); +FRC = i32_to_f32(FRA); set_fp_exceptions; diff --git a/riscv/insns/cvtu_d_l.h b/riscv/insns/cvtu_d_l.h index 5246f6f..808d20c 100644 --- a/riscv/insns/cvtu_d_l.h +++ b/riscv/insns/cvtu_d_l.h @@ -1,3 +1,3 @@ require_fp; -FRC = int64_to_float64(FRA); +FRC = i64_to_f64(FRA); set_fp_exceptions; diff --git a/riscv/insns/cvtu_d_w.h b/riscv/insns/cvtu_d_w.h index 67702a2..1a61ad6 100644 --- a/riscv/insns/cvtu_d_w.h +++ b/riscv/insns/cvtu_d_w.h @@ -1,3 +1,3 @@ require_fp; -FRC = int32_to_float64(FRA); +FRC = ui32_to_f64(FRA); set_fp_exceptions; diff --git a/riscv/insns/cvtu_s_l.h b/riscv/insns/cvtu_s_l.h index 2d1f93a..66e4566 100644 --- a/riscv/insns/cvtu_s_l.h +++ b/riscv/insns/cvtu_s_l.h @@ -1,3 +1,3 @@ require_fp; -FRC = int64_to_float32(FRA); +FRC = i64_to_f32(FRA); set_fp_exceptions; diff --git a/riscv/insns/cvtu_s_w.h b/riscv/insns/cvtu_s_w.h index c2d583f..8eaeca3 100644 --- a/riscv/insns/cvtu_s_w.h +++ b/riscv/insns/cvtu_s_w.h @@ -1,3 +1,3 @@ require_fp; -FRC = int32_to_float32(FRA); +FRC = ui32_to_f32(FRA); set_fp_exceptions; diff --git a/riscv/insns/div_d.h b/riscv/insns/div_d.h index 3b47563..884effc 100644 --- a/riscv/insns/div_d.h +++ b/riscv/insns/div_d.h @@ -1,3 +1,3 @@ require_fp; -FRC = float64_div(FRA, FRB); +FRC = f64_div(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/div_s.h b/riscv/insns/div_s.h index cb5c9bd..b2d0869 100644 --- a/riscv/insns/div_s.h +++ b/riscv/insns/div_s.h @@ -1,3 +1,3 @@ require_fp; -FRC = float32_div(FRA, FRB); +FRC = f32_div(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/mul_d.h b/riscv/insns/mul_d.h index b2a0dbf..d16e6c5 100644 --- a/riscv/insns/mul_d.h +++ b/riscv/insns/mul_d.h @@ -1,3 +1,3 @@ require_fp; -FRC = float64_mul(FRA, FRB); +FRC = f64_mul(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/mul_s.h b/riscv/insns/mul_s.h index e7d4f3f..d700d84 100644 --- a/riscv/insns/mul_s.h +++ b/riscv/insns/mul_s.h @@ -1,3 +1,3 @@ require_fp; -FRC = float32_mul(FRA, FRB); +FRC = f32_mul(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/sqrt_d.h b/riscv/insns/sqrt_d.h index 3f831f5..fdfc19a 100644 --- a/riscv/insns/sqrt_d.h +++ b/riscv/insns/sqrt_d.h @@ -1,3 +1,3 @@ require_fp; -FRC = float64_sqrt(FRA); +FRC = f64_sqrt(FRA); set_fp_exceptions; diff --git a/riscv/insns/sqrt_s.h b/riscv/insns/sqrt_s.h index 51b5892..5f2968c 100644 --- a/riscv/insns/sqrt_s.h +++ b/riscv/insns/sqrt_s.h @@ -1,3 +1,3 @@ require_fp; -FRC = float32_sqrt(FRA); +FRC = f32_sqrt(FRA); set_fp_exceptions; diff --git a/riscv/insns/sub_d.h b/riscv/insns/sub_d.h index 55d0e86..023a1f3 100644 --- a/riscv/insns/sub_d.h +++ b/riscv/insns/sub_d.h @@ -1,3 +1,3 @@ require_fp; -FRC = float64_sub(FRA, FRB); +FRC = f64_sub(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/sub_s.h b/riscv/insns/sub_s.h index 4a359bf..fd83da0 100644 --- a/riscv/insns/sub_s.h +++ b/riscv/insns/sub_s.h @@ -1,3 +1,3 @@ require_fp; -FRC = float32_sub(FRA, FRB); +FRC = f32_sub(FRA, FRB); set_fp_exceptions; diff --git a/riscv/insns/trunc_l_d.h b/riscv/insns/trunc_l_d.h index ecca8cd..0fad400 100644 --- a/riscv/insns/trunc_l_d.h +++ b/riscv/insns/trunc_l_d.h @@ -1,3 +1,3 @@ require_fp; -FRC = float64_to_int64_round_to_zero(FRA); +FRC = f64_to_i64_r_minMag(FRA,true); set_fp_exceptions; diff --git a/riscv/insns/trunc_l_s.h b/riscv/insns/trunc_l_s.h index 9dd0e51..5d5a940 100644 --- a/riscv/insns/trunc_l_s.h +++ b/riscv/insns/trunc_l_s.h @@ -1,3 +1,3 @@ require_fp; -FRC = float32_to_int64_round_to_zero(FRA); +FRC = f32_to_i64_r_minMag(FRA,true); set_fp_exceptions; diff --git a/riscv/insns/trunc_w_d.h b/riscv/insns/trunc_w_d.h index 9b7cdb0..b91640a 100644 --- a/riscv/insns/trunc_w_d.h +++ b/riscv/insns/trunc_w_d.h @@ -1,3 +1,3 @@ require_fp; -FRC = float64_to_int32_round_to_zero(FRA); +FRC = f64_to_i32_r_minMag(FRA,true); set_fp_exceptions; diff --git a/riscv/insns/trunc_w_s.h b/riscv/insns/trunc_w_s.h index 147ec8b..73974d1 100644 --- a/riscv/insns/trunc_w_s.h +++ b/riscv/insns/trunc_w_s.h @@ -1,3 +1,3 @@ require_fp; -FRC = float32_to_int32_round_to_zero(FRA); +FRC = f32_to_i32_r_minMag(FRA,true); set_fp_exceptions; diff --git a/riscv/insns/truncu_l_d.h b/riscv/insns/truncu_l_d.h index ecca8cd..0fad400 100644 --- a/riscv/insns/truncu_l_d.h +++ b/riscv/insns/truncu_l_d.h @@ -1,3 +1,3 @@ require_fp; -FRC = float64_to_int64_round_to_zero(FRA); +FRC = f64_to_i64_r_minMag(FRA,true); set_fp_exceptions; diff --git a/riscv/insns/truncu_l_s.h b/riscv/insns/truncu_l_s.h index 9dd0e51..5d5a940 100644 --- a/riscv/insns/truncu_l_s.h +++ b/riscv/insns/truncu_l_s.h @@ -1,3 +1,3 @@ require_fp; -FRC = float32_to_int64_round_to_zero(FRA); +FRC = f32_to_i64_r_minMag(FRA,true); set_fp_exceptions; diff --git a/riscv/insns/truncu_w_d.h b/riscv/insns/truncu_w_d.h index 9b7cdb0..255fba5 100644 --- a/riscv/insns/truncu_w_d.h +++ b/riscv/insns/truncu_w_d.h @@ -1,3 +1,3 @@ require_fp; -FRC = float64_to_int32_round_to_zero(FRA); +FRC = f64_to_ui32_r_minMag(FRA,true); set_fp_exceptions; diff --git a/riscv/insns/truncu_w_s.h b/riscv/insns/truncu_w_s.h index 147ec8b..337b9ea 100644 --- a/riscv/insns/truncu_w_s.h +++ b/riscv/insns/truncu_w_s.h @@ -1,3 +1,3 @@ require_fp; -FRC = float32_to_int32_round_to_zero(FRA); +FRC = f32_to_ui32_r_minMag(FRA,true); set_fp_exceptions; diff --git a/riscv/riscv.mk.in b/riscv/riscv.mk.in index 3f6427d..6d55c80 100644 --- a/riscv/riscv.mk.in +++ b/riscv/riscv.mk.in @@ -1,4 +1,6 @@ -riscv_subproject_deps = softfloat \ +riscv_subproject_deps = \ + softfloat_riscv \ + softfloat \ riscv_hdrs = \ applink.h \ diff --git a/softfloat/SoftFloat-3/source/8086/OLD-specialize.c b/softfloat/8086/OLD-specialize.c similarity index 100% rename from softfloat/SoftFloat-3/source/8086/OLD-specialize.c rename to softfloat/8086/OLD-specialize.c diff --git a/softfloat/SoftFloat-3/source/8086/OLD-specialize.h b/softfloat/8086/OLD-specialize.h similarity index 100% rename from softfloat/SoftFloat-3/source/8086/OLD-specialize.h rename to softfloat/8086/OLD-specialize.h diff --git a/softfloat/SoftFloat-3/source/8086/platform.h b/softfloat/8086/platform.h similarity index 100% rename from softfloat/SoftFloat-3/source/8086/platform.h rename to softfloat/8086/platform.h diff --git a/softfloat/SoftFloat-3/source/8086/s_commonNaNToF32UI.c b/softfloat/8086/s_commonNaNToF32UI.c similarity index 100% rename from softfloat/SoftFloat-3/source/8086/s_commonNaNToF32UI.c rename to softfloat/8086/s_commonNaNToF32UI.c diff --git a/softfloat/SoftFloat-3/source/8086/s_commonNaNToF64UI.c b/softfloat/8086/s_commonNaNToF64UI.c similarity index 100% rename from softfloat/SoftFloat-3/source/8086/s_commonNaNToF64UI.c rename to softfloat/8086/s_commonNaNToF64UI.c diff --git a/softfloat/SoftFloat-3/source/8086/s_f32UIToCommonNaN.c b/softfloat/8086/s_f32UIToCommonNaN.c similarity index 100% rename from softfloat/SoftFloat-3/source/8086/s_f32UIToCommonNaN.c rename to softfloat/8086/s_f32UIToCommonNaN.c diff --git a/softfloat/SoftFloat-3/source/8086/s_f64UIToCommonNaN.c b/softfloat/8086/s_f64UIToCommonNaN.c similarity index 100% rename from softfloat/SoftFloat-3/source/8086/s_f64UIToCommonNaN.c rename to softfloat/8086/s_f64UIToCommonNaN.c diff --git a/softfloat/SoftFloat-3/source/8086/s_isSigNaNF32UI.c b/softfloat/8086/s_isSigNaNF32UI.c similarity index 100% rename from softfloat/SoftFloat-3/source/8086/s_isSigNaNF32UI.c rename to softfloat/8086/s_isSigNaNF32UI.c diff --git a/softfloat/SoftFloat-3/source/8086/s_isSigNaNF64UI.c b/softfloat/8086/s_isSigNaNF64UI.c similarity index 100% rename from softfloat/SoftFloat-3/source/8086/s_isSigNaNF64UI.c rename to softfloat/8086/s_isSigNaNF64UI.c diff --git a/softfloat/SoftFloat-3/source/8086/s_propagateNaNF32UI.c b/softfloat/8086/s_propagateNaNF32UI.c similarity index 100% rename from softfloat/SoftFloat-3/source/8086/s_propagateNaNF32UI.c rename to softfloat/8086/s_propagateNaNF32UI.c diff --git a/softfloat/SoftFloat-3/source/8086/s_propagateNaNF64UI.c b/softfloat/8086/s_propagateNaNF64UI.c similarity index 100% rename from softfloat/SoftFloat-3/source/8086/s_propagateNaNF64UI.c rename to softfloat/8086/s_propagateNaNF64UI.c diff --git a/softfloat/SoftFloat-3/source/8086/softfloat_raiseFlags.c b/softfloat/8086/softfloat_raiseFlags.c similarity index 100% rename from softfloat/SoftFloat-3/source/8086/softfloat_raiseFlags.c rename to softfloat/8086/softfloat_raiseFlags.c diff --git a/softfloat/SoftFloat-3/source/8086/softfloat_types.h b/softfloat/8086/softfloat_types.h similarity index 100% rename from softfloat/SoftFloat-3/source/8086/softfloat_types.h rename to softfloat/8086/softfloat_types.h diff --git a/softfloat/SoftFloat-3/source/8086/specialize.h b/softfloat/8086/specialize.h similarity index 100% rename from softfloat/SoftFloat-3/source/8086/specialize.h rename to softfloat/8086/specialize.h diff --git a/softfloat/SoftFloat-3/source/OLD-softfloat.c b/softfloat/SoftFloat-3/source/OLD-softfloat.c deleted file mode 100755 index 0096550..0000000 --- a/softfloat/SoftFloat-3/source/OLD-softfloat.c +++ /dev/null @@ -1,2962 +0,0 @@ - -/*============================================================================ - -This C source file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic -Package, Release 2b. - -Written by John R. Hauser. This work was made possible in part by the -International Computer Science Institute, located at Suite 600, 1947 Center -Street, Berkeley, California 94704. Funding was partially provided by the -National Science Foundation under grant MIP-9311980. The original version -of this code was written as part of a project to build a fixed-point vector -processor in collaboration with the University of California at Berkeley, -overseen by Profs. Nelson Morgan and John Wawrzynek. More information -is available through the Web page `http://www.cs.berkeley.edu/~jhauser/ -arithmetic/SoftFloat.html'. - -THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has -been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES -RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS -AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES, -COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE -EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE -INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR -OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE. - -Derivative works are acceptable, even for commercial purposes, so long as -(1) the source code for the derivative work includes prominent notice that -the work is derivative, and (2) the source code includes prominent notice with -these four paragraphs for those parts of this code that are retained. - -=============================================================================*/ - -#include "milieu.h" -#include "softfloat.h" - -/*---------------------------------------------------------------------------- -| Primitive arithmetic functions, including multi-word arithmetic, and -| division and square root approximations. (Can be specialized to target if -| desired.) -*----------------------------------------------------------------------------*/ -#include "softfloat-macros" - -/*---------------------------------------------------------------------------- -| Functions and definitions to determine: (1) whether tininess for underflow -| is detected before or after rounding by default, (2) what (if anything) -| happens when exceptions are raised, (3) how signaling NaNs are distinguished -| from quiet NaNs, (4) the default generated quiet NaNs, and (5) how NaNs -| are propagated from function inputs to output. These details are target- -| specific. -*----------------------------------------------------------------------------*/ -#include "softfloat-specialize" - -#ifdef FLOATX80 - -/*---------------------------------------------------------------------------- -| Returns the fraction bits of the extended double-precision floating-point -| value `a'. -*----------------------------------------------------------------------------*/ - -INLINE bits64 extractFloatx80Frac( floatx80 a ) -{ - - return a.low; - -} - -/*---------------------------------------------------------------------------- -| Returns the exponent bits of the extended double-precision floating-point -| value `a'. -*----------------------------------------------------------------------------*/ - -INLINE int32 extractFloatx80Exp( floatx80 a ) -{ - - return a.high & 0x7FFF; - -} - -/*---------------------------------------------------------------------------- -| Returns the sign bit of the extended double-precision floating-point value -| `a'. -*----------------------------------------------------------------------------*/ - -INLINE flag extractFloatx80Sign( floatx80 a ) -{ - - return a.high>>15; - -} - -/*---------------------------------------------------------------------------- -| Normalizes the subnormal extended double-precision floating-point value -| represented by the denormalized significand `aSig'. The normalized exponent -| and significand are stored at the locations pointed to by `zExpPtr' and -| `zSigPtr', respectively. -*----------------------------------------------------------------------------*/ - -static void - normalizeFloatx80Subnormal( bits64 aSig, int32 *zExpPtr, bits64 *zSigPtr ) -{ - int8 shiftCount; - - shiftCount = countLeadingZeros64( aSig ); - *zSigPtr = aSig<>48 ) & 0x7FFF; - -} - -/*---------------------------------------------------------------------------- -| Returns the sign bit of the quadruple-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -INLINE flag extractFloat128Sign( float128 a ) -{ - - return a.high>>63; - -} - -/*---------------------------------------------------------------------------- -| Normalizes the subnormal quadruple-precision floating-point value -| represented by the denormalized significand formed by the concatenation of -| `aSig0' and `aSig1'. The normalized exponent is stored at the location -| pointed to by `zExpPtr'. The most significant 49 bits of the normalized -| significand are stored at the location pointed to by `zSig0Ptr', and the -| least significant 64 bits of the normalized significand are stored at the -| location pointed to by `zSig1Ptr'. -*----------------------------------------------------------------------------*/ - -static void - normalizeFloat128Subnormal( - bits64 aSig0, - bits64 aSig1, - int32 *zExpPtr, - bits64 *zSig0Ptr, - bits64 *zSig1Ptr - ) -{ - int8 shiftCount; - - if ( aSig0 == 0 ) { - shiftCount = countLeadingZeros64( aSig1 ) - 15; - if ( shiftCount < 0 ) { - *zSig0Ptr = aSig1>>( - shiftCount ); - *zSig1Ptr = aSig1<<( shiftCount & 63 ); - } - else { - *zSig0Ptr = aSig1<>= shiftCount; - z = aSig; - if ( aSign ) z = - z; - if ( ( z < 0 ) ^ aSign ) { - invalid: - float_raise( float_flag_invalid ); - return aSign ? (sbits32) 0x80000000 : 0x7FFFFFFF; - } - if ( ( aSig<>( - shiftCount ); - if ( (bits64) ( aSig<<( shiftCount & 63 ) ) ) { - float_exception_flags |= float_flag_inexact; - } - if ( aSign ) z = - z; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the extended double-precision floating- -| point value `a' to the single-precision floating-point format. The -| conversion is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 floatx80_to_float32( floatx80 a ) -{ - flag aSign; - int32 aExp; - bits64 aSig; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) ) { - return commonNaNToFloat32( floatx80ToCommonNaN( a ) ); - } - return packFloat32( aSign, 0xFF, 0 ); - } - shift64RightJamming( aSig, 33, &aSig ); - if ( aExp || aSig ) aExp -= 0x3F81; - return roundAndPackFloat32( aSign, aExp, aSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the extended double-precision floating- -| point value `a' to the double-precision floating-point format. The -| conversion is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 floatx80_to_float64( floatx80 a ) -{ - flag aSign; - int32 aExp; - bits64 aSig, zSig; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) ) { - return commonNaNToFloat64( floatx80ToCommonNaN( a ) ); - } - return packFloat64( aSign, 0x7FF, 0 ); - } - shift64RightJamming( aSig, 1, &zSig ); - if ( aExp || aSig ) aExp -= 0x3C01; - return roundAndPackFloat64( aSign, aExp, zSig ); - -} - -#ifdef FLOAT128 - -/*---------------------------------------------------------------------------- -| Returns the result of converting the extended double-precision floating- -| point value `a' to the quadruple-precision floating-point format. The -| conversion is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 floatx80_to_float128( floatx80 a ) -{ - flag aSign; - int16 aExp; - bits64 aSig, zSig0, zSig1; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - if ( ( aExp == 0x7FFF ) && (bits64) ( aSig<<1 ) ) { - return commonNaNToFloat128( floatx80ToCommonNaN( a ) ); - } - shift128Right( aSig<<1, 0, 16, &zSig0, &zSig1 ); - return packFloat128( aSign, aExp, zSig0, zSig1 ); - -} - -#endif - -/*---------------------------------------------------------------------------- -| Rounds the extended double-precision floating-point value `a' to an integer, -| and returns the result as an extended quadruple-precision floating-point -| value. The operation is performed according to the IEC/IEEE Standard for -| Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_round_to_int( floatx80 a ) -{ - flag aSign; - int32 aExp; - bits64 lastBitMask, roundBitsMask; - int8 roundingMode; - floatx80 z; - - aExp = extractFloatx80Exp( a ); - if ( 0x403E <= aExp ) { - if ( ( aExp == 0x7FFF ) && (bits64) ( extractFloatx80Frac( a )<<1 ) ) { - return propagateFloatx80NaN( a, a ); - } - return a; - } - if ( aExp < 0x3FFF ) { - if ( ( aExp == 0 ) - && ( (bits64) ( extractFloatx80Frac( a )<<1 ) == 0 ) ) { - return a; - } - float_exception_flags |= float_flag_inexact; - aSign = extractFloatx80Sign( a ); - switch ( float_rounding_mode ) { - case float_round_nearest_even: - if ( ( aExp == 0x3FFE ) && (bits64) ( extractFloatx80Frac( a )<<1 ) - ) { - return - packFloatx80( aSign, 0x3FFF, LIT64( 0x8000000000000000 ) ); - } - break; - case float_round_down: - return - aSign ? - packFloatx80( 1, 0x3FFF, LIT64( 0x8000000000000000 ) ) - : packFloatx80( 0, 0, 0 ); - case float_round_up: - return - aSign ? packFloatx80( 1, 0, 0 ) - : packFloatx80( 0, 0x3FFF, LIT64( 0x8000000000000000 ) ); - } - return packFloatx80( aSign, 0, 0 ); - } - lastBitMask = 1; - lastBitMask <<= 0x403E - aExp; - roundBitsMask = lastBitMask - 1; - z = a; - roundingMode = float_rounding_mode; - if ( roundingMode == float_round_nearest_even ) { - z.low += lastBitMask>>1; - if ( ( z.low & roundBitsMask ) == 0 ) z.low &= ~ lastBitMask; - } - else if ( roundingMode != float_round_to_zero ) { - if ( extractFloatx80Sign( z ) ^ ( roundingMode == float_round_up ) ) { - z.low += roundBitsMask; - } - } - z.low &= ~ roundBitsMask; - if ( z.low == 0 ) { - ++z.high; - z.low = LIT64( 0x8000000000000000 ); - } - if ( z.low != a.low ) float_exception_flags |= float_flag_inexact; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the absolute values of the extended double- -| precision floating-point values `a' and `b'. If `zSign' is 1, the sum is -| negated before being returned. `zSign' is ignored if the result is a NaN. -| The addition is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static floatx80 addFloatx80Sigs( floatx80 a, floatx80 b, flag zSign ) -{ - int32 aExp, bExp, zExp; - bits64 aSig, bSig, zSig0, zSig1; - int32 expDiff; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - bSig = extractFloatx80Frac( b ); - bExp = extractFloatx80Exp( b ); - expDiff = aExp - bExp; - if ( 0 < expDiff ) { - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return a; - } - if ( bExp == 0 ) --expDiff; - shift64ExtraRightJamming( bSig, 0, expDiff, &bSig, &zSig1 ); - zExp = aExp; - } - else if ( expDiff < 0 ) { - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( aExp == 0 ) ++expDiff; - shift64ExtraRightJamming( aSig, 0, - expDiff, &aSig, &zSig1 ); - zExp = bExp; - } - else { - if ( aExp == 0x7FFF ) { - if ( (bits64) ( ( aSig | bSig )<<1 ) ) { - return propagateFloatx80NaN( a, b ); - } - return a; - } - zSig1 = 0; - zSig0 = aSig + bSig; - if ( aExp == 0 ) { - normalizeFloatx80Subnormal( zSig0, &zExp, &zSig0 ); - goto roundAndPack; - } - zExp = aExp; - goto shiftRight1; - } - zSig0 = aSig + bSig; - if ( (sbits64) zSig0 < 0 ) goto roundAndPack; - shiftRight1: - shift64ExtraRightJamming( zSig0, zSig1, 1, &zSig0, &zSig1 ); - zSig0 |= LIT64( 0x8000000000000000 ); - ++zExp; - roundAndPack: - return - roundAndPackFloatx80( - floatx80_rounding_precision, zSign, zExp, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the absolute values of the extended -| double-precision floating-point values `a' and `b'. If `zSign' is 1, the -| difference is negated before being returned. `zSign' is ignored if the -| result is a NaN. The subtraction is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static floatx80 subFloatx80Sigs( floatx80 a, floatx80 b, flag zSign ) -{ - int32 aExp, bExp, zExp; - bits64 aSig, bSig, zSig0, zSig1; - int32 expDiff; - floatx80 z; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - bSig = extractFloatx80Frac( b ); - bExp = extractFloatx80Exp( b ); - expDiff = aExp - bExp; - if ( 0 < expDiff ) goto aExpBigger; - if ( expDiff < 0 ) goto bExpBigger; - if ( aExp == 0x7FFF ) { - if ( (bits64) ( ( aSig | bSig )<<1 ) ) { - return propagateFloatx80NaN( a, b ); - } - float_raise( float_flag_invalid ); - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - return z; - } - if ( aExp == 0 ) { - aExp = 1; - bExp = 1; - } - zSig1 = 0; - if ( bSig < aSig ) goto aBigger; - if ( aSig < bSig ) goto bBigger; - return packFloatx80( float_rounding_mode == float_round_down, 0, 0 ); - bExpBigger: - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return packFloatx80( zSign ^ 1, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( aExp == 0 ) ++expDiff; - shift128RightJamming( aSig, 0, - expDiff, &aSig, &zSig1 ); - bBigger: - sub128( bSig, 0, aSig, zSig1, &zSig0, &zSig1 ); - zExp = bExp; - zSign ^= 1; - goto normalizeRoundAndPack; - aExpBigger: - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return a; - } - if ( bExp == 0 ) --expDiff; - shift128RightJamming( bSig, 0, expDiff, &bSig, &zSig1 ); - aBigger: - sub128( aSig, 0, bSig, zSig1, &zSig0, &zSig1 ); - zExp = aExp; - normalizeRoundAndPack: - return - normalizeRoundAndPackFloatx80( - floatx80_rounding_precision, zSign, zExp, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the extended double-precision floating-point -| values `a' and `b'. The operation is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_add( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign == bSign ) { - return addFloatx80Sigs( a, b, aSign ); - } - else { - return subFloatx80Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the extended double-precision floating- -| point values `a' and `b'. The operation is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_sub( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign == bSign ) { - return subFloatx80Sigs( a, b, aSign ); - } - else { - return addFloatx80Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of multiplying the extended double-precision floating- -| point values `a' and `b'. The operation is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_mul( floatx80 a, floatx80 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, zExp; - bits64 aSig, bSig, zSig0, zSig1; - floatx80 z; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - bSig = extractFloatx80Frac( b ); - bExp = extractFloatx80Exp( b ); - bSign = extractFloatx80Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) - || ( ( bExp == 0x7FFF ) && (bits64) ( bSig<<1 ) ) ) { - return propagateFloatx80NaN( a, b ); - } - if ( ( bExp | bSig ) == 0 ) goto invalid; - return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - if ( ( aExp | aSig ) == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - return z; - } - return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloatx80( zSign, 0, 0 ); - normalizeFloatx80Subnormal( aSig, &aExp, &aSig ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) return packFloatx80( zSign, 0, 0 ); - normalizeFloatx80Subnormal( bSig, &bExp, &bSig ); - } - zExp = aExp + bExp - 0x3FFE; - mul64To128( aSig, bSig, &zSig0, &zSig1 ); - if ( 0 < (sbits64) zSig0 ) { - shortShift128Left( zSig0, zSig1, 1, &zSig0, &zSig1 ); - --zExp; - } - return - roundAndPackFloatx80( - floatx80_rounding_precision, zSign, zExp, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of dividing the extended double-precision floating-point -| value `a' by the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_div( floatx80 a, floatx80 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, zExp; - bits64 aSig, bSig, zSig0, zSig1; - bits64 rem0, rem1, rem2, term0, term1, term2; - floatx80 z; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - bSig = extractFloatx80Frac( b ); - bExp = extractFloatx80Exp( b ); - bSign = extractFloatx80Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) ) return propagateFloatx80NaN( a, b ); - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - goto invalid; - } - return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return packFloatx80( zSign, 0, 0 ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - if ( ( aExp | aSig ) == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - return z; - } - float_raise( float_flag_divbyzero ); - return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - normalizeFloatx80Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloatx80( zSign, 0, 0 ); - normalizeFloatx80Subnormal( aSig, &aExp, &aSig ); - } - zExp = aExp - bExp + 0x3FFE; - rem1 = 0; - if ( bSig <= aSig ) { - shift128Right( aSig, 0, 1, &aSig, &rem1 ); - ++zExp; - } - zSig0 = estimateDiv128To64( aSig, rem1, bSig ); - mul64To128( bSig, zSig0, &term0, &term1 ); - sub128( aSig, rem1, term0, term1, &rem0, &rem1 ); - while ( (sbits64) rem0 < 0 ) { - --zSig0; - add128( rem0, rem1, 0, bSig, &rem0, &rem1 ); - } - zSig1 = estimateDiv128To64( rem1, 0, bSig ); - if ( (bits64) ( zSig1<<1 ) <= 8 ) { - mul64To128( bSig, zSig1, &term1, &term2 ); - sub128( rem1, 0, term1, term2, &rem1, &rem2 ); - while ( (sbits64) rem1 < 0 ) { - --zSig1; - add128( rem1, rem2, 0, bSig, &rem1, &rem2 ); - } - zSig1 |= ( ( rem1 | rem2 ) != 0 ); - } - return - roundAndPackFloatx80( - floatx80_rounding_precision, zSign, zExp, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the remainder of the extended double-precision floating-point value -| `a' with respect to the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_rem( floatx80 a, floatx80 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, expDiff; - bits64 aSig0, aSig1, bSig; - bits64 q, term0, term1, alternateASig0, alternateASig1; - floatx80 z; - - aSig0 = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - bSig = extractFloatx80Frac( b ); - bExp = extractFloatx80Exp( b ); - bSign = extractFloatx80Sign( b ); - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig0<<1 ) - || ( ( bExp == 0x7FFF ) && (bits64) ( bSig<<1 ) ) ) { - return propagateFloatx80NaN( a, b ); - } - goto invalid; - } - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - return z; - } - normalizeFloatx80Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( (bits64) ( aSig0<<1 ) == 0 ) return a; - normalizeFloatx80Subnormal( aSig0, &aExp, &aSig0 ); - } - bSig |= LIT64( 0x8000000000000000 ); - zSign = aSign; - expDiff = aExp - bExp; - aSig1 = 0; - if ( expDiff < 0 ) { - if ( expDiff < -1 ) return a; - shift128Right( aSig0, 0, 1, &aSig0, &aSig1 ); - expDiff = 0; - } - q = ( bSig <= aSig0 ); - if ( q ) aSig0 -= bSig; - expDiff -= 64; - while ( 0 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig ); - q = ( 2 < q ) ? q - 2 : 0; - mul64To128( bSig, q, &term0, &term1 ); - sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 ); - shortShift128Left( aSig0, aSig1, 62, &aSig0, &aSig1 ); - expDiff -= 62; - } - expDiff += 64; - if ( 0 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig ); - q = ( 2 < q ) ? q - 2 : 0; - q >>= 64 - expDiff; - mul64To128( bSig, q<<( 64 - expDiff ), &term0, &term1 ); - sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 ); - shortShift128Left( 0, bSig, 64 - expDiff, &term0, &term1 ); - while ( le128( term0, term1, aSig0, aSig1 ) ) { - ++q; - sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 ); - } - } - else { - term1 = 0; - term0 = bSig; - } - sub128( term0, term1, aSig0, aSig1, &alternateASig0, &alternateASig1 ); - if ( lt128( alternateASig0, alternateASig1, aSig0, aSig1 ) - || ( eq128( alternateASig0, alternateASig1, aSig0, aSig1 ) - && ( q & 1 ) ) - ) { - aSig0 = alternateASig0; - aSig1 = alternateASig1; - zSign = ! zSign; - } - return - normalizeRoundAndPackFloatx80( - 80, zSign, bExp + expDiff, aSig0, aSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the square root of the extended double-precision floating-point -| value `a'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_sqrt( floatx80 a ) -{ - flag aSign; - int32 aExp, zExp; - bits64 aSig0, aSig1, zSig0, zSig1, doubleZSig0; - bits64 rem0, rem1, rem2, rem3, term0, term1, term2, term3; - floatx80 z; - - aSig0 = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig0<<1 ) ) return propagateFloatx80NaN( a, a ); - if ( ! aSign ) return a; - goto invalid; - } - if ( aSign ) { - if ( ( aExp | aSig0 ) == 0 ) return a; - invalid: - float_raise( float_flag_invalid ); - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - return z; - } - if ( aExp == 0 ) { - if ( aSig0 == 0 ) return packFloatx80( 0, 0, 0 ); - normalizeFloatx80Subnormal( aSig0, &aExp, &aSig0 ); - } - zExp = ( ( aExp - 0x3FFF )>>1 ) + 0x3FFF; - zSig0 = estimateSqrt32( aExp, aSig0>>32 ); - shift128Right( aSig0, 0, 2 + ( aExp & 1 ), &aSig0, &aSig1 ); - zSig0 = estimateDiv128To64( aSig0, aSig1, zSig0<<32 ) + ( zSig0<<30 ); - doubleZSig0 = zSig0<<1; - mul64To128( zSig0, zSig0, &term0, &term1 ); - sub128( aSig0, aSig1, term0, term1, &rem0, &rem1 ); - while ( (sbits64) rem0 < 0 ) { - --zSig0; - doubleZSig0 -= 2; - add128( rem0, rem1, zSig0>>63, doubleZSig0 | 1, &rem0, &rem1 ); - } - zSig1 = estimateDiv128To64( rem1, 0, doubleZSig0 ); - if ( ( zSig1 & LIT64( 0x3FFFFFFFFFFFFFFF ) ) <= 5 ) { - if ( zSig1 == 0 ) zSig1 = 1; - mul64To128( doubleZSig0, zSig1, &term1, &term2 ); - sub128( rem1, 0, term1, term2, &rem1, &rem2 ); - mul64To128( zSig1, zSig1, &term2, &term3 ); - sub192( rem1, rem2, 0, 0, term2, term3, &rem1, &rem2, &rem3 ); - while ( (sbits64) rem1 < 0 ) { - --zSig1; - shortShift128Left( 0, zSig1, 1, &term2, &term3 ); - term3 |= 1; - term2 |= doubleZSig0; - add192( rem1, rem2, rem3, 0, term2, term3, &rem1, &rem2, &rem3 ); - } - zSig1 |= ( ( rem1 | rem2 | rem3 ) != 0 ); - } - shortShift128Left( 0, zSig1, 1, &zSig0, &zSig1 ); - zSig0 |= doubleZSig0; - return - roundAndPackFloatx80( - floatx80_rounding_precision, 0, zExp, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is -| equal to the corresponding value `b', and 0 otherwise. The comparison is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_eq( floatx80 a, floatx80 b ) -{ - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - if ( floatx80_is_signaling_nan( a ) - || floatx80_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - return - ( a.low == b.low ) - && ( ( a.high == b.high ) - || ( ( a.low == 0 ) - && ( (bits16) ( ( a.high | b.high )<<1 ) == 0 ) ) - ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is -| less than or equal to the corresponding value `b', and 0 otherwise. The -| comparison is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_le( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign != bSign ) { - return - aSign - || ( ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - == 0 ); - } - return - aSign ? le128( b.high, b.low, a.high, a.low ) - : le128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is -| less than the corresponding value `b', and 0 otherwise. The comparison -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_lt( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign != bSign ) { - return - aSign - && ( ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - != 0 ); - } - return - aSign ? lt128( b.high, b.low, a.high, a.low ) - : lt128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is equal -| to the corresponding value `b', and 0 otherwise. The invalid exception is -| raised if either operand is a NaN. Otherwise, the comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_eq_signaling( floatx80 a, floatx80 b ) -{ - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - return - ( a.low == b.low ) - && ( ( a.high == b.high ) - || ( ( a.low == 0 ) - && ( (bits16) ( ( a.high | b.high )<<1 ) == 0 ) ) - ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is less -| than or equal to the corresponding value `b', and 0 otherwise. Quiet NaNs -| do not cause an exception. Otherwise, the comparison is performed according -| to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_le_quiet( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - if ( floatx80_is_signaling_nan( a ) - || floatx80_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign != bSign ) { - return - aSign - || ( ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - == 0 ); - } - return - aSign ? le128( b.high, b.low, a.high, a.low ) - : le128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is less -| than the corresponding value `b', and 0 otherwise. Quiet NaNs do not cause -| an exception. Otherwise, the comparison is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_lt_quiet( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - if ( floatx80_is_signaling_nan( a ) - || floatx80_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign != bSign ) { - return - aSign - && ( ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - != 0 ); - } - return - aSign ? lt128( b.high, b.low, a.high, a.low ) - : lt128( a.high, a.low, b.high, b.low ); - -} - -#endif - -#ifdef FLOAT128 - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point -| value `a' to the 32-bit two's complement integer format. The conversion -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic---which means in particular that the conversion is rounded -| according to the current rounding mode. If `a' is a NaN, the largest -| positive integer is returned. Otherwise, if the conversion overflows, the -| largest integer with the same sign as `a' is returned. -*----------------------------------------------------------------------------*/ - -int32 float128_to_int32( float128 a ) -{ - flag aSign; - int32 aExp, shiftCount; - bits64 aSig0, aSig1; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - if ( ( aExp == 0x7FFF ) && ( aSig0 | aSig1 ) ) aSign = 0; - if ( aExp ) aSig0 |= LIT64( 0x0001000000000000 ); - aSig0 |= ( aSig1 != 0 ); - shiftCount = 0x4028 - aExp; - if ( 0 < shiftCount ) shift64RightJamming( aSig0, shiftCount, &aSig0 ); - return roundAndPackInt32( aSign, aSig0 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point -| value `a' to the 32-bit two's complement integer format. The conversion -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic, except that the conversion is always rounded toward zero. If -| `a' is a NaN, the largest positive integer is returned. Otherwise, if the -| conversion overflows, the largest integer with the same sign as `a' is -| returned. -*----------------------------------------------------------------------------*/ - -int32 float128_to_int32_round_to_zero( float128 a ) -{ - flag aSign; - int32 aExp, shiftCount; - bits64 aSig0, aSig1, savedASig; - int32 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - aSig0 |= ( aSig1 != 0 ); - if ( 0x401E < aExp ) { - if ( ( aExp == 0x7FFF ) && aSig0 ) aSign = 0; - goto invalid; - } - else if ( aExp < 0x3FFF ) { - if ( aExp || aSig0 ) float_exception_flags |= float_flag_inexact; - return 0; - } - aSig0 |= LIT64( 0x0001000000000000 ); - shiftCount = 0x402F - aExp; - savedASig = aSig0; - aSig0 >>= shiftCount; - z = aSig0; - if ( aSign ) z = - z; - if ( ( z < 0 ) ^ aSign ) { - invalid: - float_raise( float_flag_invalid ); - return aSign ? (sbits32) 0x80000000 : 0x7FFFFFFF; - } - if ( ( aSig0<>( ( - shiftCount ) & 63 ) ); - if ( (bits64) ( aSig1<>( - shiftCount ); - if ( aSig1 - || ( shiftCount && (bits64) ( aSig0<<( shiftCount & 63 ) ) ) ) { - float_exception_flags |= float_flag_inexact; - } - } - if ( aSign ) z = - z; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point -| value `a' to the single-precision floating-point format. The conversion -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float128_to_float32( float128 a ) -{ - flag aSign; - int32 aExp; - bits64 aSig0, aSig1; - bits32 zSig; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) { - return commonNaNToFloat32( float128ToCommonNaN( a ) ); - } - return packFloat32( aSign, 0xFF, 0 ); - } - aSig0 |= ( aSig1 != 0 ); - shift64RightJamming( aSig0, 18, &aSig0 ); - zSig = aSig0; - if ( aExp || zSig ) { - zSig |= 0x40000000; - aExp -= 0x3F81; - } - return roundAndPackFloat32( aSign, aExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point -| value `a' to the double-precision floating-point format. The conversion -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float128_to_float64( float128 a ) -{ - flag aSign; - int32 aExp; - bits64 aSig0, aSig1; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) { - return commonNaNToFloat64( float128ToCommonNaN( a ) ); - } - return packFloat64( aSign, 0x7FF, 0 ); - } - shortShift128Left( aSig0, aSig1, 14, &aSig0, &aSig1 ); - aSig0 |= ( aSig1 != 0 ); - if ( aExp || aSig0 ) { - aSig0 |= LIT64( 0x4000000000000000 ); - aExp -= 0x3C01; - } - return roundAndPackFloat64( aSign, aExp, aSig0 ); - -} - -#ifdef FLOATX80 - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point -| value `a' to the extended double-precision floating-point format. The -| conversion is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 float128_to_floatx80( float128 a ) -{ - flag aSign; - int32 aExp; - bits64 aSig0, aSig1; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) { - return commonNaNToFloatx80( float128ToCommonNaN( a ) ); - } - return packFloatx80( aSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( aExp == 0 ) { - if ( ( aSig0 | aSig1 ) == 0 ) return packFloatx80( aSign, 0, 0 ); - normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 ); - } - else { - aSig0 |= LIT64( 0x0001000000000000 ); - } - shortShift128Left( aSig0, aSig1, 15, &aSig0, &aSig1 ); - return roundAndPackFloatx80( 80, aSign, aExp, aSig0, aSig1 ); - -} - -#endif - -/*---------------------------------------------------------------------------- -| Rounds the quadruple-precision floating-point value `a' to an integer, and -| returns the result as a quadruple-precision floating-point value. The -| operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_round_to_int( float128 a ) -{ - flag aSign; - int32 aExp; - bits64 lastBitMask, roundBitsMask; - int8 roundingMode; - float128 z; - - aExp = extractFloat128Exp( a ); - if ( 0x402F <= aExp ) { - if ( 0x406F <= aExp ) { - if ( ( aExp == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) - ) { - return propagateFloat128NaN( a, a ); - } - return a; - } - lastBitMask = 1; - lastBitMask = ( lastBitMask<<( 0x406E - aExp ) )<<1; - roundBitsMask = lastBitMask - 1; - z = a; - roundingMode = float_rounding_mode; - if ( roundingMode == float_round_nearest_even ) { - if ( lastBitMask ) { - add128( z.high, z.low, 0, lastBitMask>>1, &z.high, &z.low ); - if ( ( z.low & roundBitsMask ) == 0 ) z.low &= ~ lastBitMask; - } - else { - if ( (sbits64) z.low < 0 ) { - ++z.high; - if ( (bits64) ( z.low<<1 ) == 0 ) z.high &= ~1; - } - } - } - else if ( roundingMode != float_round_to_zero ) { - if ( extractFloat128Sign( z ) - ^ ( roundingMode == float_round_up ) ) { - add128( z.high, z.low, 0, roundBitsMask, &z.high, &z.low ); - } - } - z.low &= ~ roundBitsMask; - } - else { - if ( aExp < 0x3FFF ) { - if ( ( ( (bits64) ( a.high<<1 ) ) | a.low ) == 0 ) return a; - float_exception_flags |= float_flag_inexact; - aSign = extractFloat128Sign( a ); - switch ( float_rounding_mode ) { - case float_round_nearest_even: - if ( ( aExp == 0x3FFE ) - && ( extractFloat128Frac0( a ) - | extractFloat128Frac1( a ) ) - ) { - return packFloat128( aSign, 0x3FFF, 0, 0 ); - } - break; - case float_round_down: - return - aSign ? packFloat128( 1, 0x3FFF, 0, 0 ) - : packFloat128( 0, 0, 0, 0 ); - case float_round_up: - return - aSign ? packFloat128( 1, 0, 0, 0 ) - : packFloat128( 0, 0x3FFF, 0, 0 ); - } - return packFloat128( aSign, 0, 0, 0 ); - } - lastBitMask = 1; - lastBitMask <<= 0x402F - aExp; - roundBitsMask = lastBitMask - 1; - z.low = 0; - z.high = a.high; - roundingMode = float_rounding_mode; - if ( roundingMode == float_round_nearest_even ) { - z.high += lastBitMask>>1; - if ( ( ( z.high & roundBitsMask ) | a.low ) == 0 ) { - z.high &= ~ lastBitMask; - } - } - else if ( roundingMode != float_round_to_zero ) { - if ( extractFloat128Sign( z ) - ^ ( roundingMode == float_round_up ) ) { - z.high |= ( a.low != 0 ); - z.high += roundBitsMask; - } - } - z.high &= ~ roundBitsMask; - } - if ( ( z.low != a.low ) || ( z.high != a.high ) ) { - float_exception_flags |= float_flag_inexact; - } - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the absolute values of the quadruple-precision -| floating-point values `a' and `b'. If `zSign' is 1, the sum is negated -| before being returned. `zSign' is ignored if the result is a NaN. -| The addition is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float128 addFloat128Sigs( float128 a, float128 b, flag zSign ) -{ - int32 aExp, bExp, zExp; - bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1, zSig2; - int32 expDiff; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - bSig1 = extractFloat128Frac1( b ); - bSig0 = extractFloat128Frac0( b ); - bExp = extractFloat128Exp( b ); - expDiff = aExp - bExp; - if ( 0 < expDiff ) { - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig0 |= LIT64( 0x0001000000000000 ); - } - shift128ExtraRightJamming( - bSig0, bSig1, 0, expDiff, &bSig0, &bSig1, &zSig2 ); - zExp = aExp; - } - else if ( expDiff < 0 ) { - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - return packFloat128( zSign, 0x7FFF, 0, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig0 |= LIT64( 0x0001000000000000 ); - } - shift128ExtraRightJamming( - aSig0, aSig1, 0, - expDiff, &aSig0, &aSig1, &zSig2 ); - zExp = bExp; - } - else { - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 | bSig0 | bSig1 ) { - return propagateFloat128NaN( a, b ); - } - return a; - } - add128( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1 ); - if ( aExp == 0 ) return packFloat128( zSign, 0, zSig0, zSig1 ); - zSig2 = 0; - zSig0 |= LIT64( 0x0002000000000000 ); - zExp = aExp; - goto shiftRight1; - } - aSig0 |= LIT64( 0x0001000000000000 ); - add128( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1 ); - --zExp; - if ( zSig0 < LIT64( 0x0002000000000000 ) ) goto roundAndPack; - ++zExp; - shiftRight1: - shift128ExtraRightJamming( - zSig0, zSig1, zSig2, 1, &zSig0, &zSig1, &zSig2 ); - roundAndPack: - return roundAndPackFloat128( zSign, zExp, zSig0, zSig1, zSig2 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the absolute values of the quadruple- -| precision floating-point values `a' and `b'. If `zSign' is 1, the -| difference is negated before being returned. `zSign' is ignored if the -| result is a NaN. The subtraction is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float128 subFloat128Sigs( float128 a, float128 b, flag zSign ) -{ - int32 aExp, bExp, zExp; - bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1; - int32 expDiff; - float128 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - bSig1 = extractFloat128Frac1( b ); - bSig0 = extractFloat128Frac0( b ); - bExp = extractFloat128Exp( b ); - expDiff = aExp - bExp; - shortShift128Left( aSig0, aSig1, 14, &aSig0, &aSig1 ); - shortShift128Left( bSig0, bSig1, 14, &bSig0, &bSig1 ); - if ( 0 < expDiff ) goto aExpBigger; - if ( expDiff < 0 ) goto bExpBigger; - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 | bSig0 | bSig1 ) { - return propagateFloat128NaN( a, b ); - } - float_raise( float_flag_invalid ); - z.low = float128_default_nan_low; - z.high = float128_default_nan_high; - return z; - } - if ( aExp == 0 ) { - aExp = 1; - bExp = 1; - } - if ( bSig0 < aSig0 ) goto aBigger; - if ( aSig0 < bSig0 ) goto bBigger; - if ( bSig1 < aSig1 ) goto aBigger; - if ( aSig1 < bSig1 ) goto bBigger; - return packFloat128( float_rounding_mode == float_round_down, 0, 0, 0 ); - bExpBigger: - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - return packFloat128( zSign ^ 1, 0x7FFF, 0, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig0 |= LIT64( 0x4000000000000000 ); - } - shift128RightJamming( aSig0, aSig1, - expDiff, &aSig0, &aSig1 ); - bSig0 |= LIT64( 0x4000000000000000 ); - bBigger: - sub128( bSig0, bSig1, aSig0, aSig1, &zSig0, &zSig1 ); - zExp = bExp; - zSign ^= 1; - goto normalizeRoundAndPack; - aExpBigger: - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig0 |= LIT64( 0x4000000000000000 ); - } - shift128RightJamming( bSig0, bSig1, expDiff, &bSig0, &bSig1 ); - aSig0 |= LIT64( 0x4000000000000000 ); - aBigger: - sub128( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1 ); - zExp = aExp; - normalizeRoundAndPack: - --zExp; - return normalizeRoundAndPackFloat128( zSign, zExp - 14, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the quadruple-precision floating-point values -| `a' and `b'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_add( float128 a, float128 b ) -{ - flag aSign, bSign; - - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign == bSign ) { - return addFloat128Sigs( a, b, aSign ); - } - else { - return subFloat128Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the quadruple-precision floating-point -| values `a' and `b'. The operation is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_sub( float128 a, float128 b ) -{ - flag aSign, bSign; - - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign == bSign ) { - return subFloat128Sigs( a, b, aSign ); - } - else { - return addFloat128Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of multiplying the quadruple-precision floating-point -| values `a' and `b'. The operation is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_mul( float128 a, float128 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, zExp; - bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1, zSig2, zSig3; - float128 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - bSig1 = extractFloat128Frac1( b ); - bSig0 = extractFloat128Frac0( b ); - bExp = extractFloat128Exp( b ); - bSign = extractFloat128Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FFF ) { - if ( ( aSig0 | aSig1 ) - || ( ( bExp == 0x7FFF ) && ( bSig0 | bSig1 ) ) ) { - return propagateFloat128NaN( a, b ); - } - if ( ( bExp | bSig0 | bSig1 ) == 0 ) goto invalid; - return packFloat128( zSign, 0x7FFF, 0, 0 ); - } - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - if ( ( aExp | aSig0 | aSig1 ) == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = float128_default_nan_low; - z.high = float128_default_nan_high; - return z; - } - return packFloat128( zSign, 0x7FFF, 0, 0 ); - } - if ( aExp == 0 ) { - if ( ( aSig0 | aSig1 ) == 0 ) return packFloat128( zSign, 0, 0, 0 ); - normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 ); - } - if ( bExp == 0 ) { - if ( ( bSig0 | bSig1 ) == 0 ) return packFloat128( zSign, 0, 0, 0 ); - normalizeFloat128Subnormal( bSig0, bSig1, &bExp, &bSig0, &bSig1 ); - } - zExp = aExp + bExp - 0x4000; - aSig0 |= LIT64( 0x0001000000000000 ); - shortShift128Left( bSig0, bSig1, 16, &bSig0, &bSig1 ); - mul128To256( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1, &zSig2, &zSig3 ); - add128( zSig0, zSig1, aSig0, aSig1, &zSig0, &zSig1 ); - zSig2 |= ( zSig3 != 0 ); - if ( LIT64( 0x0002000000000000 ) <= zSig0 ) { - shift128ExtraRightJamming( - zSig0, zSig1, zSig2, 1, &zSig0, &zSig1, &zSig2 ); - ++zExp; - } - return roundAndPackFloat128( zSign, zExp, zSig0, zSig1, zSig2 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of dividing the quadruple-precision floating-point value -| `a' by the corresponding value `b'. The operation is performed according to -| the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_div( float128 a, float128 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, zExp; - bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1, zSig2; - bits64 rem0, rem1, rem2, rem3, term0, term1, term2, term3; - float128 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - bSig1 = extractFloat128Frac1( b ); - bSig0 = extractFloat128Frac0( b ); - bExp = extractFloat128Exp( b ); - bSign = extractFloat128Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, b ); - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - goto invalid; - } - return packFloat128( zSign, 0x7FFF, 0, 0 ); - } - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - return packFloat128( zSign, 0, 0, 0 ); - } - if ( bExp == 0 ) { - if ( ( bSig0 | bSig1 ) == 0 ) { - if ( ( aExp | aSig0 | aSig1 ) == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = float128_default_nan_low; - z.high = float128_default_nan_high; - return z; - } - float_raise( float_flag_divbyzero ); - return packFloat128( zSign, 0x7FFF, 0, 0 ); - } - normalizeFloat128Subnormal( bSig0, bSig1, &bExp, &bSig0, &bSig1 ); - } - if ( aExp == 0 ) { - if ( ( aSig0 | aSig1 ) == 0 ) return packFloat128( zSign, 0, 0, 0 ); - normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 ); - } - zExp = aExp - bExp + 0x3FFD; - shortShift128Left( - aSig0 | LIT64( 0x0001000000000000 ), aSig1, 15, &aSig0, &aSig1 ); - shortShift128Left( - bSig0 | LIT64( 0x0001000000000000 ), bSig1, 15, &bSig0, &bSig1 ); - if ( le128( bSig0, bSig1, aSig0, aSig1 ) ) { - shift128Right( aSig0, aSig1, 1, &aSig0, &aSig1 ); - ++zExp; - } - zSig0 = estimateDiv128To64( aSig0, aSig1, bSig0 ); - mul128By64To192( bSig0, bSig1, zSig0, &term0, &term1, &term2 ); - sub192( aSig0, aSig1, 0, term0, term1, term2, &rem0, &rem1, &rem2 ); - while ( (sbits64) rem0 < 0 ) { - --zSig0; - add192( rem0, rem1, rem2, 0, bSig0, bSig1, &rem0, &rem1, &rem2 ); - } - zSig1 = estimateDiv128To64( rem1, rem2, bSig0 ); - if ( ( zSig1 & 0x3FFF ) <= 4 ) { - mul128By64To192( bSig0, bSig1, zSig1, &term1, &term2, &term3 ); - sub192( rem1, rem2, 0, term1, term2, term3, &rem1, &rem2, &rem3 ); - while ( (sbits64) rem1 < 0 ) { - --zSig1; - add192( rem1, rem2, rem3, 0, bSig0, bSig1, &rem1, &rem2, &rem3 ); - } - zSig1 |= ( ( rem1 | rem2 | rem3 ) != 0 ); - } - shift128ExtraRightJamming( zSig0, zSig1, 0, 15, &zSig0, &zSig1, &zSig2 ); - return roundAndPackFloat128( zSign, zExp, zSig0, zSig1, zSig2 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the remainder of the quadruple-precision floating-point value `a' -| with respect to the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_rem( float128 a, float128 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, expDiff; - bits64 aSig0, aSig1, bSig0, bSig1, q, term0, term1, term2; - bits64 allZero, alternateASig0, alternateASig1, sigMean1; - sbits64 sigMean0; - float128 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - bSig1 = extractFloat128Frac1( b ); - bSig0 = extractFloat128Frac0( b ); - bExp = extractFloat128Exp( b ); - bSign = extractFloat128Sign( b ); - if ( aExp == 0x7FFF ) { - if ( ( aSig0 | aSig1 ) - || ( ( bExp == 0x7FFF ) && ( bSig0 | bSig1 ) ) ) { - return propagateFloat128NaN( a, b ); - } - goto invalid; - } - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - if ( ( bSig0 | bSig1 ) == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = float128_default_nan_low; - z.high = float128_default_nan_high; - return z; - } - normalizeFloat128Subnormal( bSig0, bSig1, &bExp, &bSig0, &bSig1 ); - } - if ( aExp == 0 ) { - if ( ( aSig0 | aSig1 ) == 0 ) return a; - normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 ); - } - expDiff = aExp - bExp; - if ( expDiff < -1 ) return a; - shortShift128Left( - aSig0 | LIT64( 0x0001000000000000 ), - aSig1, - 15 - ( expDiff < 0 ), - &aSig0, - &aSig1 - ); - shortShift128Left( - bSig0 | LIT64( 0x0001000000000000 ), bSig1, 15, &bSig0, &bSig1 ); - q = le128( bSig0, bSig1, aSig0, aSig1 ); - if ( q ) sub128( aSig0, aSig1, bSig0, bSig1, &aSig0, &aSig1 ); - expDiff -= 64; - while ( 0 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig0 ); - q = ( 4 < q ) ? q - 4 : 0; - mul128By64To192( bSig0, bSig1, q, &term0, &term1, &term2 ); - shortShift192Left( term0, term1, term2, 61, &term1, &term2, &allZero ); - shortShift128Left( aSig0, aSig1, 61, &aSig0, &allZero ); - sub128( aSig0, 0, term1, term2, &aSig0, &aSig1 ); - expDiff -= 61; - } - if ( -64 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig0 ); - q = ( 4 < q ) ? q - 4 : 0; - q >>= - expDiff; - shift128Right( bSig0, bSig1, 12, &bSig0, &bSig1 ); - expDiff += 52; - if ( expDiff < 0 ) { - shift128Right( aSig0, aSig1, - expDiff, &aSig0, &aSig1 ); - } - else { - shortShift128Left( aSig0, aSig1, expDiff, &aSig0, &aSig1 ); - } - mul128By64To192( bSig0, bSig1, q, &term0, &term1, &term2 ); - sub128( aSig0, aSig1, term1, term2, &aSig0, &aSig1 ); - } - else { - shift128Right( aSig0, aSig1, 12, &aSig0, &aSig1 ); - shift128Right( bSig0, bSig1, 12, &bSig0, &bSig1 ); - } - do { - alternateASig0 = aSig0; - alternateASig1 = aSig1; - ++q; - sub128( aSig0, aSig1, bSig0, bSig1, &aSig0, &aSig1 ); - } while ( 0 <= (sbits64) aSig0 ); - add128( - aSig0, aSig1, alternateASig0, alternateASig1, &sigMean0, &sigMean1 ); - if ( ( sigMean0 < 0 ) - || ( ( ( sigMean0 | sigMean1 ) == 0 ) && ( q & 1 ) ) ) { - aSig0 = alternateASig0; - aSig1 = alternateASig1; - } - zSign = ( (sbits64) aSig0 < 0 ); - if ( zSign ) sub128( 0, 0, aSig0, aSig1, &aSig0, &aSig1 ); - return - normalizeRoundAndPackFloat128( aSign ^ zSign, bExp - 4, aSig0, aSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the square root of the quadruple-precision floating-point value `a'. -| The operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_sqrt( float128 a ) -{ - flag aSign; - int32 aExp, zExp; - bits64 aSig0, aSig1, zSig0, zSig1, zSig2, doubleZSig0; - bits64 rem0, rem1, rem2, rem3, term0, term1, term2, term3; - float128 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, a ); - if ( ! aSign ) return a; - goto invalid; - } - if ( aSign ) { - if ( ( aExp | aSig0 | aSig1 ) == 0 ) return a; - invalid: - float_raise( float_flag_invalid ); - z.low = float128_default_nan_low; - z.high = float128_default_nan_high; - return z; - } - if ( aExp == 0 ) { - if ( ( aSig0 | aSig1 ) == 0 ) return packFloat128( 0, 0, 0, 0 ); - normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 ); - } - zExp = ( ( aExp - 0x3FFF )>>1 ) + 0x3FFE; - aSig0 |= LIT64( 0x0001000000000000 ); - zSig0 = estimateSqrt32( aExp, aSig0>>17 ); - shortShift128Left( aSig0, aSig1, 13 - ( aExp & 1 ), &aSig0, &aSig1 ); - zSig0 = estimateDiv128To64( aSig0, aSig1, zSig0<<32 ) + ( zSig0<<30 ); - doubleZSig0 = zSig0<<1; - mul64To128( zSig0, zSig0, &term0, &term1 ); - sub128( aSig0, aSig1, term0, term1, &rem0, &rem1 ); - while ( (sbits64) rem0 < 0 ) { - --zSig0; - doubleZSig0 -= 2; - add128( rem0, rem1, zSig0>>63, doubleZSig0 | 1, &rem0, &rem1 ); - } - zSig1 = estimateDiv128To64( rem1, 0, doubleZSig0 ); - if ( ( zSig1 & 0x1FFF ) <= 5 ) { - if ( zSig1 == 0 ) zSig1 = 1; - mul64To128( doubleZSig0, zSig1, &term1, &term2 ); - sub128( rem1, 0, term1, term2, &rem1, &rem2 ); - mul64To128( zSig1, zSig1, &term2, &term3 ); - sub192( rem1, rem2, 0, 0, term2, term3, &rem1, &rem2, &rem3 ); - while ( (sbits64) rem1 < 0 ) { - --zSig1; - shortShift128Left( 0, zSig1, 1, &term2, &term3 ); - term3 |= 1; - term2 |= doubleZSig0; - add192( rem1, rem2, rem3, 0, term2, term3, &rem1, &rem2, &rem3 ); - } - zSig1 |= ( ( rem1 | rem2 | rem3 ) != 0 ); - } - shift128ExtraRightJamming( zSig0, zSig1, 0, 14, &zSig0, &zSig1, &zSig2 ); - return roundAndPackFloat128( 0, zExp, zSig0, zSig1, zSig2 ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is equal to -| the corresponding value `b', and 0 otherwise. The comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_eq( float128 a, float128 b ) -{ - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - if ( float128_is_signaling_nan( a ) - || float128_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - return - ( a.low == b.low ) - && ( ( a.high == b.high ) - || ( ( a.low == 0 ) - && ( (bits64) ( ( a.high | b.high )<<1 ) == 0 ) ) - ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is less than -| or equal to the corresponding value `b', and 0 otherwise. The comparison -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_le( float128 a, float128 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign != bSign ) { - return - aSign - || ( ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - == 0 ); - } - return - aSign ? le128( b.high, b.low, a.high, a.low ) - : le128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is less than -| the corresponding value `b', and 0 otherwise. The comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_lt( float128 a, float128 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign != bSign ) { - return - aSign - && ( ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - != 0 ); - } - return - aSign ? lt128( b.high, b.low, a.high, a.low ) - : lt128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is equal to -| the corresponding value `b', and 0 otherwise. The invalid exception is -| raised if either operand is a NaN. Otherwise, the comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_eq_signaling( float128 a, float128 b ) -{ - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - return - ( a.low == b.low ) - && ( ( a.high == b.high ) - || ( ( a.low == 0 ) - && ( (bits64) ( ( a.high | b.high )<<1 ) == 0 ) ) - ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is less than -| or equal to the corresponding value `b', and 0 otherwise. Quiet NaNs do not -| cause an exception. Otherwise, the comparison is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_le_quiet( float128 a, float128 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - if ( float128_is_signaling_nan( a ) - || float128_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign != bSign ) { - return - aSign - || ( ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - == 0 ); - } - return - aSign ? le128( b.high, b.low, a.high, a.low ) - : le128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is less than -| the corresponding value `b', and 0 otherwise. Quiet NaNs do not cause an -| exception. Otherwise, the comparison is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_lt_quiet( float128 a, float128 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - if ( float128_is_signaling_nan( a ) - || float128_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign != bSign ) { - return - aSign - && ( ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - != 0 ); - } - return - aSign ? lt128( b.high, b.low, a.high, a.low ) - : lt128( a.high, a.low, b.high, b.low ); - -} - -#endif - diff --git a/softfloat/SoftFloat-3/source/softfloat.h b/softfloat/SoftFloat-3/source/softfloat.h deleted file mode 100755 index a7ea248..0000000 --- a/softfloat/SoftFloat-3/source/softfloat.h +++ /dev/null @@ -1,225 +0,0 @@ - -#ifndef softfloat_h -#define softfloat_h - -/*** UPDATE COMMENTS. ***/ - -/*============================================================================ - -This C header file is part of the SoftFloat IEEE Floating-point Arithmetic -Package, Release 2b. - -Written by John R. Hauser. This work was made possible in part by the -International Computer Science Institute, located at Suite 600, 1947 Center -Street, Berkeley, California 94704. Funding was partially provided by the -National Science Foundation under grant MIP-9311980. The original version -of this code was written as part of a project to build a fixed-point vector -processor in collaboration with the University of California at Berkeley, -overseen by Profs. Nelson Morgan and John Wawrzynek. More information -is available through the Web page `http://www.cs.berkeley.edu/~jhauser/ -arithmetic/SoftFloat.html'. - -THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has -been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES -RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS -AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES, -COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE -EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE -INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR -OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE. - -Derivative works are acceptable, even for commercial purposes, so long as -(1) the source code for the derivative work includes prominent notice that -the work is derivative, and (2) the source code includes prominent notice with -these four paragraphs for those parts of this code that are retained. - -=============================================================================*/ - -#include "softfloat_types.h" - -/*---------------------------------------------------------------------------- -| Software floating-point underflow tininess-detection mode. -*----------------------------------------------------------------------------*/ -extern int_fast8_t softfloat_detectTininess; -enum { - softfloat_tininess_beforeRounding = 0, - softfloat_tininess_afterRounding = 1 -}; - -/*---------------------------------------------------------------------------- -| Software floating-point rounding mode. -*----------------------------------------------------------------------------*/ -extern int_fast8_t softfloat_roundingMode; -enum { - softfloat_round_nearest_even = 0, - softfloat_round_minMag = 1, - softfloat_round_min = 2, - softfloat_round_max = 3, - softfloat_round_nearest_maxMag = 4 -}; - -/*---------------------------------------------------------------------------- -| Software floating-point exception flags. -*----------------------------------------------------------------------------*/ -extern int_fast8_t softfloat_exceptionFlags; -enum { - softfloat_flag_inexact = 1, - softfloat_flag_underflow = 2, - softfloat_flag_overflow = 4, - softfloat_flag_infinity = 8, - softfloat_flag_invalid = 16 -}; - -/*---------------------------------------------------------------------------- -| Routine to raise any or all of the software floating-point exception flags. -*----------------------------------------------------------------------------*/ -void softfloat_raiseFlags( int_fast8_t ); - -/*---------------------------------------------------------------------------- -| Integer-to-floating-point conversion routines. -*----------------------------------------------------------------------------*/ -float32_t ui32_to_f32( uint_fast32_t ); -float64_t ui32_to_f64( uint_fast32_t ); -floatx80_t ui32_to_fx80( uint_fast32_t ); -float128_t ui32_to_f128( uint_fast32_t ); -float32_t ui64_to_f32( uint_fast64_t ); -float64_t ui64_to_f64( uint_fast64_t ); -floatx80_t ui64_to_fx80( uint_fast64_t ); -float128_t ui64_to_f128( uint_fast64_t ); -float32_t i32_to_f32( int_fast32_t ); -float64_t i32_to_f64( int_fast32_t ); -floatx80_t i32_to_fx80( int_fast32_t ); -float128_t i32_to_f128( int_fast32_t ); -float32_t i64_to_f32( int_fast64_t ); -float64_t i64_to_f64( int_fast64_t ); -floatx80_t i64_to_fx80( int_fast64_t ); -float128_t i64_to_f128( int_fast64_t ); - -/*---------------------------------------------------------------------------- -| 32-bit (single-precision) floating-point operations. -*----------------------------------------------------------------------------*/ -uint_fast32_t f32_to_ui32( float32_t, int_fast8_t, bool ); -uint_fast64_t f32_to_ui64( float32_t, int_fast8_t, bool ); -int_fast32_t f32_to_i32( float32_t, int_fast8_t, bool ); -int_fast64_t f32_to_i64( float32_t, int_fast8_t, bool ); -uint_fast32_t f32_to_ui32_r_minMag( float32_t, bool ); -uint_fast64_t f32_to_ui64_r_minMag( float32_t, bool ); -int_fast32_t f32_to_i32_r_minMag( float32_t, bool ); -int_fast64_t f32_to_i64_r_minMag( float32_t, bool ); -float64_t f32_to_f64( float32_t ); -floatx80_t f32_to_fx80( float32_t ); -float128_t f32_to_f128( float32_t ); -float32_t f32_roundToInt( float32_t, int_fast8_t, bool ); -float32_t f32_add( float32_t, float32_t ); -float32_t f32_sub( float32_t, float32_t ); -float32_t f32_mul( float32_t, float32_t ); -float32_t f32_mulAdd( float32_t, float32_t, float32_t ); -float32_t f32_div( float32_t, float32_t ); -float32_t f32_rem( float32_t, float32_t ); -float32_t f32_sqrt( float32_t ); -bool f32_eq( float32_t, float32_t ); -bool f32_le( float32_t, float32_t ); -bool f32_lt( float32_t, float32_t ); -bool f32_eq_signaling( float32_t, float32_t ); -bool f32_le_quiet( float32_t, float32_t ); -bool f32_lt_quiet( float32_t, float32_t ); -bool f32_isSignalingNaN( float32_t ); - -/*---------------------------------------------------------------------------- -| 64-bit (double-precision) floating-point operations. -*----------------------------------------------------------------------------*/ -uint_fast32_t f64_to_ui32( float64_t, int_fast8_t, bool ); -uint_fast64_t f64_to_ui64( float64_t, int_fast8_t, bool ); -int_fast32_t f64_to_i32( float64_t, int_fast8_t, bool ); -int_fast64_t f64_to_i64( float64_t, int_fast8_t, bool ); -uint_fast32_t f64_to_ui32_r_minMag( float64_t, bool ); -uint_fast64_t f64_to_ui64_r_minMag( float64_t, bool ); -int_fast32_t f64_to_i32_r_minMag( float64_t, bool ); -int_fast64_t f64_to_i64_r_minMag( float64_t, bool ); -float32_t f64_to_f32( float64_t ); -floatx80_t f64_to_fx80( float64_t ); -float128_t f64_to_f128( float64_t ); -float64_t f64_roundToInt( float64_t, int_fast8_t, bool ); -float64_t f64_add( float64_t, float64_t ); -float64_t f64_sub( float64_t, float64_t ); -float64_t f64_mul( float64_t, float64_t ); -float64_t f64_mulAdd( float64_t, float64_t, float64_t ); -float64_t f64_div( float64_t, float64_t ); -float64_t f64_rem( float64_t, float64_t ); -float64_t f64_sqrt( float64_t ); -bool f64_eq( float64_t, float64_t ); -bool f64_le( float64_t, float64_t ); -bool f64_lt( float64_t, float64_t ); -bool f64_eq_signaling( float64_t, float64_t ); -bool f64_le_quiet( float64_t, float64_t ); -bool f64_lt_quiet( float64_t, float64_t ); -bool f64_isSignalingNaN( float64_t ); - -/*---------------------------------------------------------------------------- -| Extended double-precision rounding precision. Valid values are 32, 64, and -| 80. -*----------------------------------------------------------------------------*/ -extern int_fast8_t floatx80_roundingPrecision; - -/*---------------------------------------------------------------------------- -| Extended double-precision floating-point operations. -*----------------------------------------------------------------------------*/ -uint_fast32_t fx80_to_ui32( floatx80_t, int_fast8_t, bool ); -uint_fast64_t fx80_to_ui64( floatx80_t, int_fast8_t, bool ); -int_fast32_t fx80_to_i32( floatx80_t, int_fast8_t, bool ); -int_fast64_t fx80_to_i64( floatx80_t, int_fast8_t, bool ); -uint_fast32_t fx80_to_ui32_r_minMag( floatx80_t, bool ); -uint_fast64_t fx80_to_ui64_r_minMag( floatx80_t, bool ); -int_fast32_t fx80_to_i32_r_minMag( floatx80_t, bool ); -int_fast64_t fx80_to_i64_r_minMag( floatx80_t, bool ); -float32_t fx80_to_f32( floatx80_t ); -float64_t fx80_to_f64( floatx80_t ); -float128_t fx80_to_f128( floatx80_t ); -floatx80_t fx80_roundToInt( floatx80_t, int_fast8_t, bool ); -floatx80_t fx80_add( floatx80_t, floatx80_t ); -floatx80_t fx80_sub( floatx80_t, floatx80_t ); -floatx80_t fx80_mul( floatx80_t, floatx80_t ); -floatx80_t fx80_mulAdd( floatx80_t, floatx80_t, floatx80_t ); -floatx80_t fx80_div( floatx80_t, floatx80_t ); -floatx80_t fx80_rem( floatx80_t, floatx80_t ); -floatx80_t fx80_sqrt( floatx80_t ); -bool fx80_eq( floatx80_t, floatx80_t ); -bool fx80_le( floatx80_t, floatx80_t ); -bool fx80_lt( floatx80_t, floatx80_t ); -bool fx80_eq_signaling( floatx80_t, floatx80_t ); -bool fx80_le_quiet( floatx80_t, floatx80_t ); -bool fx80_lt_quiet( floatx80_t, floatx80_t ); -bool fx80_isSignalingNaN( floatx80_t ); - -/*---------------------------------------------------------------------------- -| 128-bit (quadruple-precision) floating-point operations. -*----------------------------------------------------------------------------*/ -uint_fast32_t f128_to_ui32( float128_t, int_fast8_t, bool ); -uint_fast64_t f128_to_ui64( float128_t, int_fast8_t, bool ); -int_fast32_t f128_to_i32( float128_t, int_fast8_t, bool ); -int_fast64_t f128_to_i64( float128_t, int_fast8_t, bool ); -uint_fast32_t f128_to_ui32_r_minMag( float128_t, bool ); -uint_fast64_t f128_to_ui64_r_minMag( float128_t, bool ); -int_fast32_t f128_to_i32_r_minMag( float128_t, bool ); -int_fast64_t f128_to_i64_r_minMag( float128_t, bool ); -float32_t f128_to_f32( float128_t ); -float64_t f128_to_f64( float128_t ); -floatx80_t f128_to_fx80( float128_t ); -float128_t f128_roundToInt( float128_t, int_fast8_t, bool ); -float128_t f128_add( float128_t, float128_t ); -float128_t f128_sub( float128_t, float128_t ); -float128_t f128_mul( float128_t, float128_t ); -float128_t f128_mulAdd( float128_t, float128_t, float128_t ); -float128_t f128_div( float128_t, float128_t ); -float128_t f128_rem( float128_t, float128_t ); -float128_t f128_sqrt( float128_t ); -bool f128_eq( float128_t, float128_t ); -bool f128_le( float128_t, float128_t ); -bool f128_lt( float128_t, float128_t ); -bool f128_eq_signaling( float128_t, float128_t ); -bool f128_le_quiet( float128_t, float128_t ); -bool f128_lt_quiet( float128_t, float128_t ); -bool f128_isSignalingNaN( float128_t ); - -#endif - diff --git a/softfloat/SoftFloat-3/source/f32_add.c b/softfloat/f32_add.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_add.c rename to softfloat/f32_add.cc diff --git a/softfloat/SoftFloat-3/source/f32_div.c b/softfloat/f32_div.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_div.c rename to softfloat/f32_div.cc diff --git a/softfloat/SoftFloat-3/source/f32_eq.c b/softfloat/f32_eq.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_eq.c rename to softfloat/f32_eq.cc diff --git a/softfloat/SoftFloat-3/source/f32_eq_signaling.c b/softfloat/f32_eq_signaling.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_eq_signaling.c rename to softfloat/f32_eq_signaling.cc diff --git a/softfloat/SoftFloat-3/source/f32_isSignalingNaN.c b/softfloat/f32_isSignalingNaN.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_isSignalingNaN.c rename to softfloat/f32_isSignalingNaN.cc diff --git a/softfloat/SoftFloat-3/source/f32_le.c b/softfloat/f32_le.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_le.c rename to softfloat/f32_le.cc diff --git a/softfloat/SoftFloat-3/source/f32_le_quiet.c b/softfloat/f32_le_quiet.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_le_quiet.c rename to softfloat/f32_le_quiet.cc diff --git a/softfloat/SoftFloat-3/source/f32_lt.c b/softfloat/f32_lt.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_lt.c rename to softfloat/f32_lt.cc diff --git a/softfloat/SoftFloat-3/source/f32_lt_quiet.c b/softfloat/f32_lt_quiet.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_lt_quiet.c rename to softfloat/f32_lt_quiet.cc diff --git a/softfloat/SoftFloat-3/source/f32_mul.c b/softfloat/f32_mul.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_mul.c rename to softfloat/f32_mul.cc diff --git a/softfloat/SoftFloat-3/source/f32_mulAdd.c b/softfloat/f32_mulAdd.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_mulAdd.c rename to softfloat/f32_mulAdd.cc diff --git a/softfloat/SoftFloat-3/source/f32_rem.c b/softfloat/f32_rem.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_rem.c rename to softfloat/f32_rem.cc diff --git a/softfloat/SoftFloat-3/source/f32_roundToInt.c b/softfloat/f32_roundToInt.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_roundToInt.c rename to softfloat/f32_roundToInt.cc diff --git a/softfloat/SoftFloat-3/source/f32_sqrt.c b/softfloat/f32_sqrt.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_sqrt.c rename to softfloat/f32_sqrt.cc diff --git a/softfloat/SoftFloat-3/source/f32_sub.c b/softfloat/f32_sub.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_sub.c rename to softfloat/f32_sub.cc diff --git a/softfloat/SoftFloat-3/source/f32_to_f64.c b/softfloat/f32_to_f64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_to_f64.c rename to softfloat/f32_to_f64.cc diff --git a/softfloat/SoftFloat-3/source/f32_to_i32.c b/softfloat/f32_to_i32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_to_i32.c rename to softfloat/f32_to_i32.cc diff --git a/softfloat/SoftFloat-3/source/f32_to_i32_r_minMag.c b/softfloat/f32_to_i32_r_minMag.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_to_i32_r_minMag.c rename to softfloat/f32_to_i32_r_minMag.cc diff --git a/softfloat/SoftFloat-3/source/f32_to_i64.c b/softfloat/f32_to_i64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_to_i64.c rename to softfloat/f32_to_i64.cc diff --git a/softfloat/SoftFloat-3/source/f32_to_i64_r_minMag.c b/softfloat/f32_to_i64_r_minMag.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_to_i64_r_minMag.c rename to softfloat/f32_to_i64_r_minMag.cc diff --git a/softfloat/SoftFloat-3/source/f32_to_ui32.c b/softfloat/f32_to_ui32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_to_ui32.c rename to softfloat/f32_to_ui32.cc diff --git a/softfloat/SoftFloat-3/source/f32_to_ui32_r_minMag.c b/softfloat/f32_to_ui32_r_minMag.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_to_ui32_r_minMag.c rename to softfloat/f32_to_ui32_r_minMag.cc diff --git a/softfloat/SoftFloat-3/source/f32_to_ui64.c b/softfloat/f32_to_ui64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_to_ui64.c rename to softfloat/f32_to_ui64.cc diff --git a/softfloat/SoftFloat-3/source/f32_to_ui64_r_minMag.c b/softfloat/f32_to_ui64_r_minMag.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f32_to_ui64_r_minMag.c rename to softfloat/f32_to_ui64_r_minMag.cc diff --git a/softfloat/SoftFloat-3/source/f64_add.c b/softfloat/f64_add.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_add.c rename to softfloat/f64_add.cc diff --git a/softfloat/SoftFloat-3/source/f64_div.c b/softfloat/f64_div.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_div.c rename to softfloat/f64_div.cc diff --git a/softfloat/SoftFloat-3/source/f64_eq.c b/softfloat/f64_eq.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_eq.c rename to softfloat/f64_eq.cc diff --git a/softfloat/SoftFloat-3/source/f64_eq_signaling.c b/softfloat/f64_eq_signaling.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_eq_signaling.c rename to softfloat/f64_eq_signaling.cc diff --git a/softfloat/SoftFloat-3/source/f64_isSignalingNaN.c b/softfloat/f64_isSignalingNaN.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_isSignalingNaN.c rename to softfloat/f64_isSignalingNaN.cc diff --git a/softfloat/SoftFloat-3/source/f64_le.c b/softfloat/f64_le.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_le.c rename to softfloat/f64_le.cc diff --git a/softfloat/SoftFloat-3/source/f64_le_quiet.c b/softfloat/f64_le_quiet.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_le_quiet.c rename to softfloat/f64_le_quiet.cc diff --git a/softfloat/SoftFloat-3/source/f64_lt.c b/softfloat/f64_lt.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_lt.c rename to softfloat/f64_lt.cc diff --git a/softfloat/SoftFloat-3/source/f64_lt_quiet.c b/softfloat/f64_lt_quiet.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_lt_quiet.c rename to softfloat/f64_lt_quiet.cc diff --git a/softfloat/SoftFloat-3/source/f64_mul.c b/softfloat/f64_mul.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_mul.c rename to softfloat/f64_mul.cc diff --git a/softfloat/SoftFloat-3/source/f64_mulAdd.c b/softfloat/f64_mulAdd.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_mulAdd.c rename to softfloat/f64_mulAdd.cc diff --git a/softfloat/SoftFloat-3/source/f64_rem.c b/softfloat/f64_rem.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_rem.c rename to softfloat/f64_rem.cc diff --git a/softfloat/SoftFloat-3/source/f64_roundToInt.c b/softfloat/f64_roundToInt.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_roundToInt.c rename to softfloat/f64_roundToInt.cc diff --git a/softfloat/SoftFloat-3/source/f64_sqrt.c b/softfloat/f64_sqrt.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_sqrt.c rename to softfloat/f64_sqrt.cc diff --git a/softfloat/SoftFloat-3/source/f64_sub.c b/softfloat/f64_sub.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_sub.c rename to softfloat/f64_sub.cc diff --git a/softfloat/SoftFloat-3/source/f64_to_f32.c b/softfloat/f64_to_f32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_to_f32.c rename to softfloat/f64_to_f32.cc diff --git a/softfloat/SoftFloat-3/source/f64_to_i32.c b/softfloat/f64_to_i32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_to_i32.c rename to softfloat/f64_to_i32.cc diff --git a/softfloat/SoftFloat-3/source/f64_to_i32_r_minMag.c b/softfloat/f64_to_i32_r_minMag.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_to_i32_r_minMag.c rename to softfloat/f64_to_i32_r_minMag.cc diff --git a/softfloat/SoftFloat-3/source/f64_to_i64.c b/softfloat/f64_to_i64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_to_i64.c rename to softfloat/f64_to_i64.cc diff --git a/softfloat/SoftFloat-3/source/f64_to_i64_r_minMag.c b/softfloat/f64_to_i64_r_minMag.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_to_i64_r_minMag.c rename to softfloat/f64_to_i64_r_minMag.cc diff --git a/softfloat/SoftFloat-3/source/f64_to_ui32.c b/softfloat/f64_to_ui32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_to_ui32.c rename to softfloat/f64_to_ui32.cc diff --git a/softfloat/SoftFloat-3/source/f64_to_ui32_r_minMag.c b/softfloat/f64_to_ui32_r_minMag.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_to_ui32_r_minMag.c rename to softfloat/f64_to_ui32_r_minMag.cc diff --git a/softfloat/SoftFloat-3/source/f64_to_ui64.c b/softfloat/f64_to_ui64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_to_ui64.c rename to softfloat/f64_to_ui64.cc diff --git a/softfloat/SoftFloat-3/source/f64_to_ui64_r_minMag.c b/softfloat/f64_to_ui64_r_minMag.cc similarity index 100% rename from softfloat/SoftFloat-3/source/f64_to_ui64_r_minMag.c rename to softfloat/f64_to_ui64_r_minMag.cc diff --git a/softfloat/SoftFloat-3/source/i32_to_f32.c b/softfloat/i32_to_f32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/i32_to_f32.c rename to softfloat/i32_to_f32.cc diff --git a/softfloat/SoftFloat-3/source/i32_to_f64.c b/softfloat/i32_to_f64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/i32_to_f64.c rename to softfloat/i32_to_f64.cc diff --git a/softfloat/SoftFloat-3/source/i64_to_f32.c b/softfloat/i64_to_f32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/i64_to_f32.c rename to softfloat/i64_to_f32.cc diff --git a/softfloat/SoftFloat-3/source/i64_to_f64.c b/softfloat/i64_to_f64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/i64_to_f64.c rename to softfloat/i64_to_f64.cc diff --git a/softfloat/SoftFloat-3/source/internals.h b/softfloat/internals.h similarity index 96% rename from softfloat/SoftFloat-3/source/internals.h rename to softfloat/internals.h index cac0561..5e6fd76 100755 --- a/softfloat/SoftFloat-3/source/internals.h +++ b/softfloat/internals.h @@ -83,8 +83,8 @@ int_fast64_t | significand are stored at the locations pointed to by `zExpPtr' and | `zSigPtr', respectively. *----------------------------------------------------------------------------*/ -struct exp16_sig32 { int_fast16_t exp; uint_fast32_t sig; } - softfloat_normSubnormalF32Sig( uint_fast32_t ); +struct exp16_sig32 { int_fast16_t exp; uint_fast32_t sig; }; +struct exp16_sig32 softfloat_normSubnormalF32Sig( uint_fast32_t ); /*---------------------------------------------------------------------------- | Takes an abstract floating-point value having sign `zSign', exponent `zExp', @@ -174,8 +174,8 @@ float32_t | significand are stored at the locations pointed to by `zExpPtr' and | `zSigPtr', respectively. *----------------------------------------------------------------------------*/ -struct exp16_sig64 { int_fast16_t exp; uint_fast64_t sig; } - softfloat_normSubnormalF64Sig( uint_fast64_t ); +struct exp16_sig64 { int_fast16_t exp; uint_fast64_t sig; }; +struct exp16_sig64 softfloat_normSubnormalF64Sig( uint_fast64_t ); /*---------------------------------------------------------------------------- | Takes an abstract floating-point value having sign `zSign', exponent `zExp', diff --git a/softfloat/milieu.h b/softfloat/milieu.h deleted file mode 100644 index ab3d371..0000000 --- a/softfloat/milieu.h +++ /dev/null @@ -1,68 +0,0 @@ - -/*---------------------------------------------------------------------------- -| One of the macros `BIGENDIAN' or `LITTLEENDIAN' must be defined. -*----------------------------------------------------------------------------*/ -#define BIGENDIAN - -/*---------------------------------------------------------------------------- -| The macro `BITS64' can be defined to indicate that 64-bit integer types are -| supported by the compiler. -*----------------------------------------------------------------------------*/ -#define BITS64 - -/*---------------------------------------------------------------------------- -| Each of the following `typedef's defines the most convenient type that holds -| integers of at least as many bits as specified. For example, `uint8' should -| be the most convenient type that can hold unsigned integers of as many as -| 8 bits. The `flag' type must be able to hold either a 0 or 1. For most -| implementations of C, `flag', `uint8', and `int8' should all be `typedef'ed -| to the same as `int'. -*----------------------------------------------------------------------------*/ -typedef int flag; -typedef int uint8; -typedef int int8; -typedef int uint16; -typedef int int16; -typedef unsigned int uint32; -typedef signed int int32; -#ifdef BITS64 -typedef unsigned long long int uint64; -typedef signed long long int int64; -#endif - -/*---------------------------------------------------------------------------- -| Each of the following `typedef's defines a type that holds integers -| of _exactly_ the number of bits specified. For instance, for most -| implementation of C, `bits16' and `sbits16' should be `typedef'ed to -| `unsigned short int' and `signed short int' (or `short int'), respectively. -*----------------------------------------------------------------------------*/ -typedef unsigned char bits8; -typedef signed char sbits8; -typedef unsigned short int bits16; -typedef signed short int sbits16; -typedef unsigned int bits32; -typedef signed int sbits32; -#ifdef BITS64 -typedef unsigned long long int bits64; -typedef signed long long int sbits64; -#endif - -#ifdef BITS64 -/*---------------------------------------------------------------------------- -| The `LIT64' macro takes as its argument a textual integer literal and -| if necessary ``marks'' the literal as having a 64-bit integer type. -| For example, the GNU C Compiler (`gcc') requires that 64-bit literals be -| appended with the letters `LL' standing for `long long', which is `gcc's -| name for the 64-bit integer type. Some compilers may allow `LIT64' to be -| defined as the identity macro: `#define LIT64( a ) a'. -*----------------------------------------------------------------------------*/ -#define LIT64( a ) a##LL -#endif - -/*---------------------------------------------------------------------------- -| The macro `INLINE' can be used before functions that should be inlined. If -| a compiler does not support explicit inlining, this macro should be defined -| to be `static'. -*----------------------------------------------------------------------------*/ -#define INLINE extern inline - diff --git a/softfloat/SoftFloat-3/source/primitives.h b/softfloat/primitives.h similarity index 100% rename from softfloat/SoftFloat-3/source/primitives.h rename to softfloat/primitives.h diff --git a/softfloat/SoftFloat-3/source/s_add128.c b/softfloat/s_add128.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_add128.c rename to softfloat/s_add128.cc diff --git a/softfloat/SoftFloat-3/source/s_add192.c b/softfloat/s_add192.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_add192.c rename to softfloat/s_add192.cc diff --git a/softfloat/SoftFloat-3/source/s_addMagsF32.c b/softfloat/s_addMagsF32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_addMagsF32.c rename to softfloat/s_addMagsF32.cc diff --git a/softfloat/SoftFloat-3/source/s_addMagsF64.c b/softfloat/s_addMagsF64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_addMagsF64.c rename to softfloat/s_addMagsF64.cc diff --git a/softfloat/SoftFloat-3/source/s_countLeadingZeros32.c b/softfloat/s_countLeadingZeros32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_countLeadingZeros32.c rename to softfloat/s_countLeadingZeros32.cc diff --git a/softfloat/SoftFloat-3/source/s_countLeadingZeros64.c b/softfloat/s_countLeadingZeros64.cc similarity index 96% rename from softfloat/SoftFloat-3/source/s_countLeadingZeros64.c rename to softfloat/s_countLeadingZeros64.cc index 4a96cf6..79f4280 100755 --- a/softfloat/SoftFloat-3/source/s_countLeadingZeros64.c +++ b/softfloat/s_countLeadingZeros64.cc @@ -1,6 +1,7 @@ #include #include "primitives.h" +#include "platform.h" int softfloat_countLeadingZeros64( uint64_t a ) { diff --git a/softfloat/SoftFloat-3/source/s_countLeadingZeros8.c b/softfloat/s_countLeadingZeros8.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_countLeadingZeros8.c rename to softfloat/s_countLeadingZeros8.cc diff --git a/softfloat/SoftFloat-3/source/s_eq128.c b/softfloat/s_eq128.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_eq128.c rename to softfloat/s_eq128.cc diff --git a/softfloat/SoftFloat-3/source/s_estimateDiv128To64.c b/softfloat/s_estimateDiv128To64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_estimateDiv128To64.c rename to softfloat/s_estimateDiv128To64.cc diff --git a/softfloat/SoftFloat-3/source/s_estimateSqrt32.c b/softfloat/s_estimateSqrt32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_estimateSqrt32.c rename to softfloat/s_estimateSqrt32.cc diff --git a/softfloat/SoftFloat-3/source/s_le128.c b/softfloat/s_le128.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_le128.c rename to softfloat/s_le128.cc diff --git a/softfloat/SoftFloat-3/source/s_lt128.c b/softfloat/s_lt128.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_lt128.c rename to softfloat/s_lt128.cc diff --git a/softfloat/SoftFloat-3/source/s_mul128By64To192.c b/softfloat/s_mul128By64To192.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_mul128By64To192.c rename to softfloat/s_mul128By64To192.cc diff --git a/softfloat/SoftFloat-3/source/s_mul128To256.c b/softfloat/s_mul128To256.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_mul128To256.c rename to softfloat/s_mul128To256.cc diff --git a/softfloat/SoftFloat-3/source/s_mul64To128.c b/softfloat/s_mul64To128.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_mul64To128.c rename to softfloat/s_mul64To128.cc diff --git a/softfloat/SoftFloat-3/source/s_mulAddF32.c b/softfloat/s_mulAddF32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_mulAddF32.c rename to softfloat/s_mulAddF32.cc diff --git a/softfloat/SoftFloat-3/source/s_mulAddF64.c b/softfloat/s_mulAddF64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_mulAddF64.c rename to softfloat/s_mulAddF64.cc diff --git a/softfloat/SoftFloat-3/source/s_normRoundPackToF32.c b/softfloat/s_normRoundPackToF32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_normRoundPackToF32.c rename to softfloat/s_normRoundPackToF32.cc diff --git a/softfloat/SoftFloat-3/source/s_normRoundPackToF64.c b/softfloat/s_normRoundPackToF64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_normRoundPackToF64.c rename to softfloat/s_normRoundPackToF64.cc diff --git a/softfloat/SoftFloat-3/source/s_normSubnormalF32Sig.c b/softfloat/s_normSubnormalF32Sig.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_normSubnormalF32Sig.c rename to softfloat/s_normSubnormalF32Sig.cc diff --git a/softfloat/SoftFloat-3/source/s_normSubnormalF64Sig.c b/softfloat/s_normSubnormalF64Sig.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_normSubnormalF64Sig.c rename to softfloat/s_normSubnormalF64Sig.cc diff --git a/softfloat/SoftFloat-3/source/s_roundPackToF32.c b/softfloat/s_roundPackToF32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_roundPackToF32.c rename to softfloat/s_roundPackToF32.cc diff --git a/softfloat/SoftFloat-3/source/s_roundPackToF64.c b/softfloat/s_roundPackToF64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_roundPackToF64.c rename to softfloat/s_roundPackToF64.cc diff --git a/softfloat/SoftFloat-3/source/s_roundPackToI32.c b/softfloat/s_roundPackToI32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_roundPackToI32.c rename to softfloat/s_roundPackToI32.cc diff --git a/softfloat/SoftFloat-3/source/s_roundPackToI64.c b/softfloat/s_roundPackToI64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_roundPackToI64.c rename to softfloat/s_roundPackToI64.cc diff --git a/softfloat/SoftFloat-3/source/s_roundPackToUI32.c b/softfloat/s_roundPackToUI32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_roundPackToUI32.c rename to softfloat/s_roundPackToUI32.cc diff --git a/softfloat/SoftFloat-3/source/s_roundPackToUI64.c b/softfloat/s_roundPackToUI64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_roundPackToUI64.c rename to softfloat/s_roundPackToUI64.cc diff --git a/softfloat/SoftFloat-3/source/s_shift128ExtraRightJam.c b/softfloat/s_shift128ExtraRightJam.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shift128ExtraRightJam.c rename to softfloat/s_shift128ExtraRightJam.cc diff --git a/softfloat/SoftFloat-3/source/s_shift128RightJam.c b/softfloat/s_shift128RightJam.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shift128RightJam.c rename to softfloat/s_shift128RightJam.cc diff --git a/softfloat/SoftFloat-3/source/s_shift32RightJam.c b/softfloat/s_shift32RightJam.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shift32RightJam.c rename to softfloat/s_shift32RightJam.cc diff --git a/softfloat/SoftFloat-3/source/s_shift64ExtraRightJam.c b/softfloat/s_shift64ExtraRightJam.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shift64ExtraRightJam.c rename to softfloat/s_shift64ExtraRightJam.cc diff --git a/softfloat/SoftFloat-3/source/s_shift64RightJam.c b/softfloat/s_shift64RightJam.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shift64RightJam.c rename to softfloat/s_shift64RightJam.cc diff --git a/softfloat/SoftFloat-3/source/s_shortShift128ExtraRightJam.c b/softfloat/s_shortShift128ExtraRightJam.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shortShift128ExtraRightJam.c rename to softfloat/s_shortShift128ExtraRightJam.cc diff --git a/softfloat/SoftFloat-3/source/s_shortShift128Left.c b/softfloat/s_shortShift128Left.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shortShift128Left.c rename to softfloat/s_shortShift128Left.cc diff --git a/softfloat/SoftFloat-3/source/s_shortShift128Right.c b/softfloat/s_shortShift128Right.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shortShift128Right.c rename to softfloat/s_shortShift128Right.cc diff --git a/softfloat/SoftFloat-3/source/s_shortShift192Left.c b/softfloat/s_shortShift192Left.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shortShift192Left.c rename to softfloat/s_shortShift192Left.cc diff --git a/softfloat/SoftFloat-3/source/s_shortShift32Right1Jam.c b/softfloat/s_shortShift32Right1Jam.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shortShift32Right1Jam.c rename to softfloat/s_shortShift32Right1Jam.cc diff --git a/softfloat/SoftFloat-3/source/s_shortShift64ExtraRightJam.c b/softfloat/s_shortShift64ExtraRightJam.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shortShift64ExtraRightJam.c rename to softfloat/s_shortShift64ExtraRightJam.cc diff --git a/softfloat/SoftFloat-3/source/s_shortShift64RightJam.c b/softfloat/s_shortShift64RightJam.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_shortShift64RightJam.c rename to softfloat/s_shortShift64RightJam.cc diff --git a/softfloat/SoftFloat-3/source/s_sub128.c b/softfloat/s_sub128.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_sub128.c rename to softfloat/s_sub128.cc diff --git a/softfloat/SoftFloat-3/source/s_sub192.c b/softfloat/s_sub192.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_sub192.c rename to softfloat/s_sub192.cc diff --git a/softfloat/SoftFloat-3/source/s_subMagsF32.c b/softfloat/s_subMagsF32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_subMagsF32.c rename to softfloat/s_subMagsF32.cc diff --git a/softfloat/SoftFloat-3/source/s_subMagsF64.c b/softfloat/s_subMagsF64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/s_subMagsF64.c rename to softfloat/s_subMagsF64.cc diff --git a/softfloat/softfloat-header b/softfloat/softfloat-header deleted file mode 100644 index eb5303a..0000000 --- a/softfloat/softfloat-header +++ /dev/null @@ -1,259 +0,0 @@ - -/*============================================================================ - -This C header file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic -Package, Release 2b. - -Written by John R. Hauser. This work was made possible in part by the -International Computer Science Institute, located at Suite 600, 1947 Center -Street, Berkeley, California 94704. Funding was partially provided by the -National Science Foundation under grant MIP-9311980. The original version -of this code was written as part of a project to build a fixed-point vector -processor in collaboration with the University of California at Berkeley, -overseen by Profs. Nelson Morgan and John Wawrzynek. More information -is available through the Web page `http://www.cs.berkeley.edu/~jhauser/ -arithmetic/SoftFloat.html'. - -THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has -been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES -RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS -AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES, -COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE -EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE -INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR -OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE. - -Derivative works are acceptable, even for commercial purposes, so long as -(1) the source code for the derivative work includes prominent notice that -the work is derivative, and (2) the source code includes prominent notice with -these four paragraphs for those parts of this code that are retained. - -=============================================================================*/ - -/*---------------------------------------------------------------------------- -| The macro `FLOATX80' must be defined to enable the extended double-precision -| floating-point format `floatx80'. If this macro is not defined, the -| `floatx80' type will not be defined, and none of the functions that either -| input or output the `floatx80' type will be defined. The same applies to -| the `FLOAT128' macro and the quadruple-precision format `float128'. -*----------------------------------------------------------------------------*/ -#define FLOATX80 -#define FLOAT128 - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE floating-point types. -*----------------------------------------------------------------------------*/ -typedef unsigned int float32; -typedef unsigned long long float64; -#ifdef FLOATX80 -typedef struct { - unsigned short high; - unsigned long long low; -} floatx80; -#endif -#ifdef FLOAT128 -typedef struct { - unsigned long long high, low; -} float128; -#endif - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE floating-point underflow tininess-detection mode. -*----------------------------------------------------------------------------*/ -extern int float_detect_tininess; -enum { - float_tininess_after_rounding = 0, - float_tininess_before_rounding = 1 -}; - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE floating-point rounding mode. -*----------------------------------------------------------------------------*/ -extern int float_rounding_mode; -enum { - float_round_nearest_even = 0, - float_round_to_zero = 1, - float_round_up = 2, - float_round_down = 3 -}; - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE floating-point exception flags. -*----------------------------------------------------------------------------*/ -extern int float_exception_flags; -enum { - float_flag_inexact = 1, - float_flag_divbyzero = 2, - float_flag_underflow = 4, - float_flag_overflow = 8, - float_flag_invalid = 16 -}; - -/*---------------------------------------------------------------------------- -| Routine to raise any or all of the software IEC/IEEE floating-point -| exception flags. -*----------------------------------------------------------------------------*/ -void float_raise( int ); - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE integer-to-floating-point conversion routines. -*----------------------------------------------------------------------------*/ -float32 int32_to_float32( int ); -float64 int32_to_float64( int ); -#ifdef FLOATX80 -floatx80 int32_to_floatx80( int ); -#endif -#ifdef FLOAT128 -float128 int32_to_float128( int ); -#endif -float32 int64_to_float32( long long ); -float64 int64_to_float64( long long ); -#ifdef FLOATX80 -floatx80 int64_to_floatx80( long long ); -#endif -#ifdef FLOAT128 -float128 int64_to_float128( long long ); -#endif - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE single-precision conversion routines. -*----------------------------------------------------------------------------*/ -int float32_to_int32( float32 ); -int float32_to_int32_round_to_zero( float32 ); -long long float32_to_int64( float32 ); -long long float32_to_int64_round_to_zero( float32 ); -float64 float32_to_float64( float32 ); -#ifdef FLOATX80 -floatx80 float32_to_floatx80( float32 ); -#endif -#ifdef FLOAT128 -float128 float32_to_float128( float32 ); -#endif - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE single-precision operations. -*----------------------------------------------------------------------------*/ -float32 float32_round_to_int( float32 ); -float32 float32_add( float32, float32 ); -float32 float32_sub( float32, float32 ); -float32 float32_mul( float32, float32 ); -float32 float32_div( float32, float32 ); -float32 float32_rem( float32, float32 ); -float32 float32_sqrt( float32 ); -int float32_eq( float32, float32 ); -int float32_le( float32, float32 ); -int float32_lt( float32, float32 ); -int float32_eq_signaling( float32, float32 ); -int float32_le_quiet( float32, float32 ); -int float32_lt_quiet( float32, float32 ); -int float32_is_signaling_nan( float32 ); - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE double-precision conversion routines. -*----------------------------------------------------------------------------*/ -int float64_to_int32( float64 ); -int float64_to_int32_round_to_zero( float64 ); -long long float64_to_int64( float64 ); -long long float64_to_int64_round_to_zero( float64 ); -float32 float64_to_float32( float64 ); -#ifdef FLOATX80 -floatx80 float64_to_floatx80( float64 ); -#endif -#ifdef FLOAT128 -float128 float64_to_float128( float64 ); -#endif - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE double-precision operations. -*----------------------------------------------------------------------------*/ -float64 float64_round_to_int( float64 ); -float64 float64_add( float64, float64 ); -float64 float64_sub( float64, float64 ); -float64 float64_mul( float64, float64 ); -float64 float64_div( float64, float64 ); -float64 float64_rem( float64, float64 ); -float64 float64_sqrt( float64 ); -int float64_eq( float64, float64 ); -int float64_le( float64, float64 ); -int float64_lt( float64, float64 ); -int float64_eq_signaling( float64, float64 ); -int float64_le_quiet( float64, float64 ); -int float64_lt_quiet( float64, float64 ); -int float64_is_signaling_nan( float64 ); - -#ifdef FLOATX80 - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE extended double-precision conversion routines. -*----------------------------------------------------------------------------*/ -int floatx80_to_int32( floatx80 ); -int floatx80_to_int32_round_to_zero( floatx80 ); -long long floatx80_to_int64( floatx80 ); -long long floatx80_to_int64_round_to_zero( floatx80 ); -float32 floatx80_to_float32( floatx80 ); -float64 floatx80_to_float64( floatx80 ); -#ifdef FLOAT128 -float128 floatx80_to_float128( floatx80 ); -#endif - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE extended double-precision rounding precision. Valid -| values are 32, 64, and 80. -*----------------------------------------------------------------------------*/ -extern int floatx80_rounding_precision; - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE extended double-precision operations. -*----------------------------------------------------------------------------*/ -floatx80 floatx80_round_to_int( floatx80 ); -floatx80 floatx80_add( floatx80, floatx80 ); -floatx80 floatx80_sub( floatx80, floatx80 ); -floatx80 floatx80_mul( floatx80, floatx80 ); -floatx80 floatx80_div( floatx80, floatx80 ); -floatx80 floatx80_rem( floatx80, floatx80 ); -floatx80 floatx80_sqrt( floatx80 ); -int floatx80_eq( floatx80, floatx80 ); -int floatx80_le( floatx80, floatx80 ); -int floatx80_lt( floatx80, floatx80 ); -int floatx80_eq_signaling( floatx80, floatx80 ); -int floatx80_le_quiet( floatx80, floatx80 ); -int floatx80_lt_quiet( floatx80, floatx80 ); -int floatx80_is_signaling_nan( floatx80 ); - -#endif - -#ifdef FLOAT128 - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE quadruple-precision conversion routines. -*----------------------------------------------------------------------------*/ -int float128_to_int32( float128 ); -int float128_to_int32_round_to_zero( float128 ); -long long float128_to_int64( float128 ); -long long float128_to_int64_round_to_zero( float128 ); -float32 float128_to_float32( float128 ); -float64 float128_to_float64( float128 ); -#ifdef FLOATX80 -floatx80 float128_to_floatx80( float128 ); -#endif - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE quadruple-precision operations. -*----------------------------------------------------------------------------*/ -float128 float128_round_to_int( float128 ); -float128 float128_add( float128, float128 ); -float128 float128_sub( float128, float128 ); -float128 float128_mul( float128, float128 ); -float128 float128_div( float128, float128 ); -float128 float128_rem( float128, float128 ); -float128 float128_sqrt( float128 ); -int float128_eq( float128, float128 ); -int float128_le( float128, float128 ); -int float128_lt( float128, float128 ); -int float128_eq_signaling( float128, float128 ); -int float128_le_quiet( float128, float128 ); -int float128_lt_quiet( float128, float128 ); -int float128_is_signaling_nan( float128 ); - -#endif - diff --git a/softfloat/softfloat-macros b/softfloat/softfloat-macros deleted file mode 100644 index d289328..0000000 --- a/softfloat/softfloat-macros +++ /dev/null @@ -1,720 +0,0 @@ - -/*============================================================================ - -This C source fragment is part of the SoftFloat IEC/IEEE Floating-point -Arithmetic Package, Release 2b. - -Written by John R. Hauser. This work was made possible in part by the -International Computer Science Institute, located at Suite 600, 1947 Center -Street, Berkeley, California 94704. Funding was partially provided by the -National Science Foundation under grant MIP-9311980. The original version -of this code was written as part of a project to build a fixed-point vector -processor in collaboration with the University of California at Berkeley, -overseen by Profs. Nelson Morgan and John Wawrzynek. More information -is available through the Web page `http://www.cs.berkeley.edu/~jhauser/ -arithmetic/SoftFloat.html'. - -THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has -been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES -RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS -AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES, -COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE -EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE -INSTITUTE (possibly via similar legal notice) AGAINST ALL LOSSES, COSTS, OR -OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE. - -Derivative works are acceptable, even for commercial purposes, so long as -(1) the source code for the derivative work includes prominent notice that -the work is derivative, and (2) the source code includes prominent notice with -these four paragraphs for those parts of this code that are retained. - -=============================================================================*/ - -/*---------------------------------------------------------------------------- -| Shifts `a' right by the number of bits given in `count'. If any nonzero -| bits are shifted off, they are ``jammed'' into the least significant bit of -| the result by setting the least significant bit to 1. The value of `count' -| can be arbitrarily large; in particular, if `count' is greater than 32, the -| result will be either 0 or 1, depending on whether `a' is zero or nonzero. -| The result is stored in the location pointed to by `zPtr'. -*----------------------------------------------------------------------------*/ - -INLINE void shift32RightJamming( bits32 a, int16 count, bits32 *zPtr ) -{ - bits32 z; - - if ( count == 0 ) { - z = a; - } - else if ( count < 32 ) { - z = ( a>>count ) | ( ( a<<( ( - count ) & 31 ) ) != 0 ); - } - else { - z = ( a != 0 ); - } - *zPtr = z; - -} - -/*---------------------------------------------------------------------------- -| Shifts `a' right by the number of bits given in `count'. If any nonzero -| bits are shifted off, they are ``jammed'' into the least significant bit of -| the result by setting the least significant bit to 1. The value of `count' -| can be arbitrarily large; in particular, if `count' is greater than 64, the -| result will be either 0 or 1, depending on whether `a' is zero or nonzero. -| The result is stored in the location pointed to by `zPtr'. -*----------------------------------------------------------------------------*/ - -INLINE void shift64RightJamming( bits64 a, int16 count, bits64 *zPtr ) -{ - bits64 z; - - if ( count == 0 ) { - z = a; - } - else if ( count < 64 ) { - z = ( a>>count ) | ( ( a<<( ( - count ) & 63 ) ) != 0 ); - } - else { - z = ( a != 0 ); - } - *zPtr = z; - -} - -/*---------------------------------------------------------------------------- -| Shifts the 128-bit value formed by concatenating `a0' and `a1' right by 64 -| _plus_ the number of bits given in `count'. The shifted result is at most -| 64 nonzero bits; this is stored at the location pointed to by `z0Ptr'. The -| bits shifted off form a second 64-bit result as follows: The _last_ bit -| shifted off is the most-significant bit of the extra result, and the other -| 63 bits of the extra result are all zero if and only if _all_but_the_last_ -| bits shifted off were all zero. This extra result is stored in the location -| pointed to by `z1Ptr'. The value of `count' can be arbitrarily large. -| (This routine makes more sense if `a0' and `a1' are considered to form -| a fixed-point value with binary point between `a0' and `a1'. This fixed- -| point value is shifted right by the number of bits given in `count', and -| the integer part of the result is returned at the location pointed to by -| `z0Ptr'. The fractional part of the result may be slightly corrupted as -| described above, and is returned at the location pointed to by `z1Ptr'.) -*----------------------------------------------------------------------------*/ - -INLINE void - shift64ExtraRightJamming( - bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr ) -{ - bits64 z0, z1; - int8 negCount = ( - count ) & 63; - - if ( count == 0 ) { - z1 = a1; - z0 = a0; - } - else if ( count < 64 ) { - z1 = ( a0<>count; - } - else { - if ( count == 64 ) { - z1 = a0 | ( a1 != 0 ); - } - else { - z1 = ( ( a0 | a1 ) != 0 ); - } - z0 = 0; - } - *z1Ptr = z1; - *z0Ptr = z0; - -} - -/*---------------------------------------------------------------------------- -| Shifts the 128-bit value formed by concatenating `a0' and `a1' right by the -| number of bits given in `count'. Any bits shifted off are lost. The value -| of `count' can be arbitrarily large; in particular, if `count' is greater -| than 128, the result will be 0. The result is broken into two 64-bit pieces -| which are stored at the locations pointed to by `z0Ptr' and `z1Ptr'. -*----------------------------------------------------------------------------*/ - -INLINE void - shift128Right( - bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr ) -{ - bits64 z0, z1; - int8 negCount = ( - count ) & 63; - - if ( count == 0 ) { - z1 = a1; - z0 = a0; - } - else if ( count < 64 ) { - z1 = ( a0<>count ); - z0 = a0>>count; - } - else { - z1 = ( count < 64 ) ? ( a0>>( count & 63 ) ) : 0; - z0 = 0; - } - *z1Ptr = z1; - *z0Ptr = z0; - -} - -/*---------------------------------------------------------------------------- -| Shifts the 128-bit value formed by concatenating `a0' and `a1' right by the -| number of bits given in `count'. If any nonzero bits are shifted off, they -| are ``jammed'' into the least significant bit of the result by setting the -| least significant bit to 1. The value of `count' can be arbitrarily large; -| in particular, if `count' is greater than 128, the result will be either -| 0 or 1, depending on whether the concatenation of `a0' and `a1' is zero or -| nonzero. The result is broken into two 64-bit pieces which are stored at -| the locations pointed to by `z0Ptr' and `z1Ptr'. -*----------------------------------------------------------------------------*/ - -INLINE void - shift128RightJamming( - bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr ) -{ - bits64 z0, z1; - int8 negCount = ( - count ) & 63; - - if ( count == 0 ) { - z1 = a1; - z0 = a0; - } - else if ( count < 64 ) { - z1 = ( a0<>count ) | ( ( a1<>count; - } - else { - if ( count == 64 ) { - z1 = a0 | ( a1 != 0 ); - } - else if ( count < 128 ) { - z1 = ( a0>>( count & 63 ) ) | ( ( ( a0<>count ); - z0 = a0>>count; - } - else { - if ( count == 64 ) { - z2 = a1; - z1 = a0; - } - else { - a2 |= a1; - if ( count < 128 ) { - z2 = a0<>( count & 63 ); - } - else { - z2 = ( count == 128 ) ? a0 : ( a0 != 0 ); - z1 = 0; - } - } - z0 = 0; - } - z2 |= ( a2 != 0 ); - } - *z2Ptr = z2; - *z1Ptr = z1; - *z0Ptr = z0; - -} - -/*---------------------------------------------------------------------------- -| Shifts the 128-bit value formed by concatenating `a0' and `a1' left by the -| number of bits given in `count'. Any bits shifted off are lost. The value -| of `count' must be less than 64. The result is broken into two 64-bit -| pieces which are stored at the locations pointed to by `z0Ptr' and `z1Ptr'. -*----------------------------------------------------------------------------*/ - -INLINE void - shortShift128Left( - bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr ) -{ - - *z1Ptr = a1<>( ( - count ) & 63 ) ); - -} - -/*---------------------------------------------------------------------------- -| Shifts the 192-bit value formed by concatenating `a0', `a1', and `a2' left -| by the number of bits given in `count'. Any bits shifted off are lost. -| The value of `count' must be less than 64. The result is broken into three -| 64-bit pieces which are stored at the locations pointed to by `z0Ptr', -| `z1Ptr', and `z2Ptr'. -*----------------------------------------------------------------------------*/ - -INLINE void - shortShift192Left( - bits64 a0, - bits64 a1, - bits64 a2, - int16 count, - bits64 *z0Ptr, - bits64 *z1Ptr, - bits64 *z2Ptr - ) -{ - bits64 z0, z1, z2; - int8 negCount; - - z2 = a2<>negCount; - z0 |= a1>>negCount; - } - *z2Ptr = z2; - *z1Ptr = z1; - *z0Ptr = z0; - -} - -/*---------------------------------------------------------------------------- -| Adds the 128-bit value formed by concatenating `a0' and `a1' to the 128-bit -| value formed by concatenating `b0' and `b1'. Addition is modulo 2^128, so -| any carry out is lost. The result is broken into two 64-bit pieces which -| are stored at the locations pointed to by `z0Ptr' and `z1Ptr'. -*----------------------------------------------------------------------------*/ - -INLINE void - add128( - bits64 a0, bits64 a1, bits64 b0, bits64 b1, bits64 *z0Ptr, bits64 *z1Ptr ) -{ - bits64 z1; - - z1 = a1 + b1; - *z1Ptr = z1; - *z0Ptr = a0 + b0 + ( z1 < a1 ); - -} - -/*---------------------------------------------------------------------------- -| Adds the 192-bit value formed by concatenating `a0', `a1', and `a2' to the -| 192-bit value formed by concatenating `b0', `b1', and `b2'. Addition is -| modulo 2^192, so any carry out is lost. The result is broken into three -| 64-bit pieces which are stored at the locations pointed to by `z0Ptr', -| `z1Ptr', and `z2Ptr'. -*----------------------------------------------------------------------------*/ - -INLINE void - add192( - bits64 a0, - bits64 a1, - bits64 a2, - bits64 b0, - bits64 b1, - bits64 b2, - bits64 *z0Ptr, - bits64 *z1Ptr, - bits64 *z2Ptr - ) -{ - bits64 z0, z1, z2; - int8 carry0, carry1; - - z2 = a2 + b2; - carry1 = ( z2 < a2 ); - z1 = a1 + b1; - carry0 = ( z1 < a1 ); - z0 = a0 + b0; - z1 += carry1; - z0 += ( z1 < carry1 ); - z0 += carry0; - *z2Ptr = z2; - *z1Ptr = z1; - *z0Ptr = z0; - -} - -/*---------------------------------------------------------------------------- -| Subtracts the 128-bit value formed by concatenating `b0' and `b1' from the -| 128-bit value formed by concatenating `a0' and `a1'. Subtraction is modulo -| 2^128, so any borrow out (carry out) is lost. The result is broken into two -| 64-bit pieces which are stored at the locations pointed to by `z0Ptr' and -| `z1Ptr'. -*----------------------------------------------------------------------------*/ - -INLINE void - sub128( - bits64 a0, bits64 a1, bits64 b0, bits64 b1, bits64 *z0Ptr, bits64 *z1Ptr ) -{ - - *z1Ptr = a1 - b1; - *z0Ptr = a0 - b0 - ( a1 < b1 ); - -} - -/*---------------------------------------------------------------------------- -| Subtracts the 192-bit value formed by concatenating `b0', `b1', and `b2' -| from the 192-bit value formed by concatenating `a0', `a1', and `a2'. -| Subtraction is modulo 2^192, so any borrow out (carry out) is lost. The -| result is broken into three 64-bit pieces which are stored at the locations -| pointed to by `z0Ptr', `z1Ptr', and `z2Ptr'. -*----------------------------------------------------------------------------*/ - -INLINE void - sub192( - bits64 a0, - bits64 a1, - bits64 a2, - bits64 b0, - bits64 b1, - bits64 b2, - bits64 *z0Ptr, - bits64 *z1Ptr, - bits64 *z2Ptr - ) -{ - bits64 z0, z1, z2; - int8 borrow0, borrow1; - - z2 = a2 - b2; - borrow1 = ( a2 < b2 ); - z1 = a1 - b1; - borrow0 = ( a1 < b1 ); - z0 = a0 - b0; - z0 -= ( z1 < borrow1 ); - z1 -= borrow1; - z0 -= borrow0; - *z2Ptr = z2; - *z1Ptr = z1; - *z0Ptr = z0; - -} - -/*---------------------------------------------------------------------------- -| Multiplies `a' by `b' to obtain a 128-bit product. The product is broken -| into two 64-bit pieces which are stored at the locations pointed to by -| `z0Ptr' and `z1Ptr'. -*----------------------------------------------------------------------------*/ - -INLINE void mul64To128( bits64 a, bits64 b, bits64 *z0Ptr, bits64 *z1Ptr ) -{ - bits32 aHigh, aLow, bHigh, bLow; - bits64 z0, zMiddleA, zMiddleB, z1; - - aLow = a; - aHigh = a>>32; - bLow = b; - bHigh = b>>32; - z1 = ( (bits64) aLow ) * bLow; - zMiddleA = ( (bits64) aLow ) * bHigh; - zMiddleB = ( (bits64) aHigh ) * bLow; - z0 = ( (bits64) aHigh ) * bHigh; - zMiddleA += zMiddleB; - z0 += ( ( (bits64) ( zMiddleA < zMiddleB ) )<<32 ) + ( zMiddleA>>32 ); - zMiddleA <<= 32; - z1 += zMiddleA; - z0 += ( z1 < zMiddleA ); - *z1Ptr = z1; - *z0Ptr = z0; - -} - -/*---------------------------------------------------------------------------- -| Multiplies the 128-bit value formed by concatenating `a0' and `a1' by -| `b' to obtain a 192-bit product. The product is broken into three 64-bit -| pieces which are stored at the locations pointed to by `z0Ptr', `z1Ptr', and -| `z2Ptr'. -*----------------------------------------------------------------------------*/ - -INLINE void - mul128By64To192( - bits64 a0, - bits64 a1, - bits64 b, - bits64 *z0Ptr, - bits64 *z1Ptr, - bits64 *z2Ptr - ) -{ - bits64 z0, z1, z2, more1; - - mul64To128( a1, b, &z1, &z2 ); - mul64To128( a0, b, &z0, &more1 ); - add128( z0, more1, 0, z1, &z0, &z1 ); - *z2Ptr = z2; - *z1Ptr = z1; - *z0Ptr = z0; - -} - -/*---------------------------------------------------------------------------- -| Multiplies the 128-bit value formed by concatenating `a0' and `a1' to the -| 128-bit value formed by concatenating `b0' and `b1' to obtain a 256-bit -| product. The product is broken into four 64-bit pieces which are stored at -| the locations pointed to by `z0Ptr', `z1Ptr', `z2Ptr', and `z3Ptr'. -*----------------------------------------------------------------------------*/ - -INLINE void - mul128To256( - bits64 a0, - bits64 a1, - bits64 b0, - bits64 b1, - bits64 *z0Ptr, - bits64 *z1Ptr, - bits64 *z2Ptr, - bits64 *z3Ptr - ) -{ - bits64 z0, z1, z2, z3; - bits64 more1, more2; - - mul64To128( a1, b1, &z2, &z3 ); - mul64To128( a1, b0, &z1, &more2 ); - add128( z1, more2, 0, z2, &z1, &z2 ); - mul64To128( a0, b0, &z0, &more1 ); - add128( z0, more1, 0, z1, &z0, &z1 ); - mul64To128( a0, b1, &more1, &more2 ); - add128( more1, more2, 0, z2, &more1, &z2 ); - add128( z0, z1, 0, more1, &z0, &z1 ); - *z3Ptr = z3; - *z2Ptr = z2; - *z1Ptr = z1; - *z0Ptr = z0; - -} - -/*---------------------------------------------------------------------------- -| Returns an approximation to the 64-bit integer quotient obtained by dividing -| `b' into the 128-bit value formed by concatenating `a0' and `a1'. The -| divisor `b' must be at least 2^63. If q is the exact quotient truncated -| toward zero, the approximation returned lies between q and q + 2 inclusive. -| If the exact quotient q is larger than 64 bits, the maximum positive 64-bit -| unsigned integer is returned. -*----------------------------------------------------------------------------*/ - -static bits64 estimateDiv128To64( bits64 a0, bits64 a1, bits64 b ) -{ - bits64 b0, b1; - bits64 rem0, rem1, term0, term1; - bits64 z; - - if ( b <= a0 ) return LIT64( 0xFFFFFFFFFFFFFFFF ); - b0 = b>>32; - z = ( b0<<32 <= a0 ) ? LIT64( 0xFFFFFFFF00000000 ) : ( a0 / b0 )<<32; - mul64To128( b, z, &term0, &term1 ); - sub128( a0, a1, term0, term1, &rem0, &rem1 ); - while ( ( (sbits64) rem0 ) < 0 ) { - z -= LIT64( 0x100000000 ); - b1 = b<<32; - add128( rem0, rem1, b0, b1, &rem0, &rem1 ); - } - rem0 = ( rem0<<32 ) | ( rem1>>32 ); - z |= ( b0<<32 <= rem0 ) ? 0xFFFFFFFF : rem0 / b0; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns an approximation to the square root of the 32-bit significand given -| by `a'. Considered as an integer, `a' must be at least 2^31. If bit 0 of -| `aExp' (the least significant bit) is 1, the integer returned approximates -| 2^31*sqrt(`a'/2^31), where `a' is considered an integer. If bit 0 of `aExp' -| is 0, the integer returned approximates 2^31*sqrt(`a'/2^30). In either -| case, the approximation returned lies strictly within +/-2 of the exact -| value. -*----------------------------------------------------------------------------*/ - -static bits32 estimateSqrt32( int16 aExp, bits32 a ) -{ - static const bits16 sqrtOddAdjustments[] = { - 0x0004, 0x0022, 0x005D, 0x00B1, 0x011D, 0x019F, 0x0236, 0x02E0, - 0x039C, 0x0468, 0x0545, 0x0631, 0x072B, 0x0832, 0x0946, 0x0A67 - }; - static const bits16 sqrtEvenAdjustments[] = { - 0x0A2D, 0x08AF, 0x075A, 0x0629, 0x051A, 0x0429, 0x0356, 0x029E, - 0x0200, 0x0179, 0x0109, 0x00AF, 0x0068, 0x0034, 0x0012, 0x0002 - }; - int8 index; - bits32 z; - - index = ( a>>27 ) & 15; - if ( aExp & 1 ) { - z = 0x4000 + ( a>>17 ) - sqrtOddAdjustments[ index ]; - z = ( ( a / z )<<14 ) + ( z<<15 ); - a >>= 1; - } - else { - z = 0x8000 + ( a>>17 ) - sqrtEvenAdjustments[ index ]; - z = a / z + z; - z = ( 0x20000 <= z ) ? 0xFFFF8000 : ( z<<15 ); - if ( z <= a ) return (bits32) ( ( (sbits32) a )>>1 ); - } - return ( (bits32) ( ( ( (bits64) a )<<31 ) / z ) ) + ( z>>1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the number of leading 0 bits before the most-significant 1 bit of -| `a'. If `a' is zero, 32 is returned. -*----------------------------------------------------------------------------*/ - -static int8 countLeadingZeros32( bits32 a ) -{ - static const int8 countLeadingZerosHigh[] = { - 8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, - 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, - 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, - 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, - 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, - 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, - 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, - 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 - }; - int8 shiftCount; - - shiftCount = 0; - if ( a < 0x10000 ) { - shiftCount += 16; - a <<= 16; - } - if ( a < 0x1000000 ) { - shiftCount += 8; - a <<= 8; - } - shiftCount += countLeadingZerosHigh[ a>>24 ]; - return shiftCount; - -} - -/*---------------------------------------------------------------------------- -| Returns the number of leading 0 bits before the most-significant 1 bit of -| `a'. If `a' is zero, 64 is returned. -*----------------------------------------------------------------------------*/ - -static int8 countLeadingZeros64( bits64 a ) -{ - int8 shiftCount; - - shiftCount = 0; - if ( a < ( (bits64) 1 )<<32 ) { - shiftCount += 32; - } - else { - a >>= 32; - } - shiftCount += countLeadingZeros32( a ); - return shiftCount; - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the 128-bit value formed by concatenating `a0' and `a1' -| is equal to the 128-bit value formed by concatenating `b0' and `b1'. -| Otherwise, returns 0. -*----------------------------------------------------------------------------*/ - -INLINE flag eq128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 ) -{ - - return ( a0 == b0 ) && ( a1 == b1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the 128-bit value formed by concatenating `a0' and `a1' is less -| than or equal to the 128-bit value formed by concatenating `b0' and `b1'. -| Otherwise, returns 0. -*----------------------------------------------------------------------------*/ - -INLINE flag le128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 ) -{ - - return ( a0 < b0 ) || ( ( a0 == b0 ) && ( a1 <= b1 ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the 128-bit value formed by concatenating `a0' and `a1' is less -| than the 128-bit value formed by concatenating `b0' and `b1'. Otherwise, -| returns 0. -*----------------------------------------------------------------------------*/ - -INLINE flag lt128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 ) -{ - - return ( a0 < b0 ) || ( ( a0 == b0 ) && ( a1 < b1 ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the 128-bit value formed by concatenating `a0' and `a1' is -| not equal to the 128-bit value formed by concatenating `b0' and `b1'. -| Otherwise, returns 0. -*----------------------------------------------------------------------------*/ - -INLINE flag ne128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 ) -{ - - return ( a0 != b0 ) || ( a1 != b1 ); - -} - diff --git a/softfloat/softfloat-specialize b/softfloat/softfloat-specialize deleted file mode 100644 index 28bd4fe..0000000 --- a/softfloat/softfloat-specialize +++ /dev/null @@ -1,412 +0,0 @@ - -/*============================================================================ - -This C source fragment is part of the SoftFloat IEC/IEEE Floating-point -Arithmetic Package, Release 2b. - -Written by John R. Hauser. This work was made possible in part by the -International Computer Science Institute, located at Suite 600, 1947 Center -Street, Berkeley, California 94704. Funding was partially provided by the -National Science Foundation under grant MIP-9311980. The original version -of this code was written as part of a project to build a fixed-point vector -processor in collaboration with the University of California at Berkeley, -overseen by Profs. Nelson Morgan and John Wawrzynek. More information -is available through the Web page `http://www.cs.berkeley.edu/~jhauser/ -arithmetic/SoftFloat.html'. - -THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has -been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES -RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS -AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES, -COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE -EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE -INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR -OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE. - -Derivative works are acceptable, even for commercial purposes, so long as -(1) the source code for the derivative work includes prominent notice that -the work is derivative, and (2) the source code includes prominent notice with -these four paragraphs for those parts of this code that are retained. - -=============================================================================*/ - -/*---------------------------------------------------------------------------- -| Underflow tininess-detection mode, statically initialized to default value. -| (The declaration in `softfloat.h' must match the `int8' type here.) -*----------------------------------------------------------------------------*/ -int8 float_detect_tininess = float_tininess_before_rounding; - -/*---------------------------------------------------------------------------- -| Raises the exceptions specified by `flags'. Floating-point traps can be -| defined here if desired. It is currently not possible for such a trap -| to substitute a result value. If traps are not implemented, this routine -| should be simply `float_exception_flags |= flags;'. -*----------------------------------------------------------------------------*/ - -void float_raise( int8 flags ) -{ - - float_exception_flags |= flags; - -} - -/*---------------------------------------------------------------------------- -| Internal canonical NaN format. -*----------------------------------------------------------------------------*/ -typedef struct { - flag sign; - bits64 high, low; -} commonNaNT; - -/*---------------------------------------------------------------------------- -| The pattern for a default generated single-precision NaN. -*----------------------------------------------------------------------------*/ -#define float32_default_nan 0x7FFFFFFF - -/*---------------------------------------------------------------------------- -| Returns 1 if the single-precision floating-point value `a' is a NaN; -| otherwise returns 0. -*----------------------------------------------------------------------------*/ - -flag float32_is_nan( float32 a ) -{ - - return ( 0xFF000000 < (bits32) ( a<<1 ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the single-precision floating-point value `a' is a signaling -| NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -flag float32_is_signaling_nan( float32 a ) -{ - - return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point NaN -| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid -| exception is raised. -*----------------------------------------------------------------------------*/ - -static commonNaNT float32ToCommonNaN( float32 a ) -{ - commonNaNT z; - - if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); - z.sign = a>>31; - z.low = 0; - z.high = ( (bits64) a )<<41; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the canonical NaN `a' to the single- -| precision floating-point format. -*----------------------------------------------------------------------------*/ - -static float32 commonNaNToFloat32( commonNaNT a ) -{ - - return ( ( (bits32) a.sign )<<31 ) | 0x7FC00000 | ( a.high>>41 ); - -} - -/*---------------------------------------------------------------------------- -| Takes two single-precision floating-point values `a' and `b', one of which -| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a -| signaling NaN, the invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static float32 propagateFloat32NaN( float32 a, float32 b ) -{ - flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; - - aIsNaN = float32_is_nan( a ); - aIsSignalingNaN = float32_is_signaling_nan( a ); - bIsNaN = float32_is_nan( b ); - bIsSignalingNaN = float32_is_signaling_nan( b ); - a |= 0x00400000; - b |= 0x00400000; - if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); - return bIsSignalingNaN ? b : aIsSignalingNaN ? a : bIsNaN ? b : a; - -} - -/*---------------------------------------------------------------------------- -| The pattern for a default generated double-precision NaN. -*----------------------------------------------------------------------------*/ -#define float64_default_nan LIT64( 0x7FFFFFFFFFFFFFFF ) - -/*---------------------------------------------------------------------------- -| Returns 1 if the double-precision floating-point value `a' is a NaN; -| otherwise returns 0. -*----------------------------------------------------------------------------*/ - -flag float64_is_nan( float64 a ) -{ - - return ( LIT64( 0xFFE0000000000000 ) < (bits64) ( a<<1 ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the double-precision floating-point value `a' is a signaling -| NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -flag float64_is_signaling_nan( float64 a ) -{ - - return - ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) - && ( a & LIT64( 0x0007FFFFFFFFFFFF ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point NaN -| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid -| exception is raised. -*----------------------------------------------------------------------------*/ - -static commonNaNT float64ToCommonNaN( float64 a ) -{ - commonNaNT z; - - if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); - z.sign = a>>63; - z.low = 0; - z.high = a<<12; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the canonical NaN `a' to the double- -| precision floating-point format. -*----------------------------------------------------------------------------*/ - -static float64 commonNaNToFloat64( commonNaNT a ) -{ - - return - ( ( (bits64) a.sign )<<63 ) - | LIT64( 0x7FF8000000000000 ) - | ( a.high>>12 ); - -} - -/*---------------------------------------------------------------------------- -| Takes two double-precision floating-point values `a' and `b', one of which -| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a -| signaling NaN, the invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static float64 propagateFloat64NaN( float64 a, float64 b ) -{ - flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; - - aIsNaN = float64_is_nan( a ); - aIsSignalingNaN = float64_is_signaling_nan( a ); - bIsNaN = float64_is_nan( b ); - bIsSignalingNaN = float64_is_signaling_nan( b ); - a |= LIT64( 0x0008000000000000 ); - b |= LIT64( 0x0008000000000000 ); - if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); - return bIsSignalingNaN ? b : aIsSignalingNaN ? a : bIsNaN ? b : a; - -} - -#ifdef FLOATX80 - -/*---------------------------------------------------------------------------- -| The pattern for a default generated extended double-precision NaN. The -| `high' and `low' values hold the most- and least-significant bits, -| respectively. -*----------------------------------------------------------------------------*/ -#define floatx80_default_nan_high 0x7FFF -#define floatx80_default_nan_low LIT64( 0xFFFFFFFFFFFFFFFF ) - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is a -| NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -flag floatx80_is_nan( floatx80 a ) -{ - - return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is a -| signaling NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -flag floatx80_is_signaling_nan( floatx80 a ) -{ - bits64 aLow; - - aLow = a.low & ~ LIT64( 0x4000000000000000 ); - return - ( ( a.high & 0x7FFF ) == 0x7FFF ) - && (bits64) ( aLow<<1 ) - && ( a.low == aLow ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the extended double-precision floating- -| point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the -| invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static commonNaNT floatx80ToCommonNaN( floatx80 a ) -{ - commonNaNT z; - - if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); - z.sign = a.high>>15; - z.low = 0; - z.high = a.low<<1; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the canonical NaN `a' to the extended -| double-precision floating-point format. -*----------------------------------------------------------------------------*/ - -static floatx80 commonNaNToFloatx80( commonNaNT a ) -{ - floatx80 z; - - z.low = LIT64( 0xC000000000000000 ) | ( a.high>>1 ); - z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF; - return z; - -} - -/*---------------------------------------------------------------------------- -| Takes two extended double-precision floating-point values `a' and `b', one -| of which is a NaN, and returns the appropriate NaN result. If either `a' or -| `b' is a signaling NaN, the invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b ) -{ - flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; - - aIsNaN = floatx80_is_nan( a ); - aIsSignalingNaN = floatx80_is_signaling_nan( a ); - bIsNaN = floatx80_is_nan( b ); - bIsSignalingNaN = floatx80_is_signaling_nan( b ); - a.low |= LIT64( 0xC000000000000000 ); - b.low |= LIT64( 0xC000000000000000 ); - if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); - return bIsSignalingNaN ? b : aIsSignalingNaN ? a : bIsNaN ? b : a; - -} - -#endif - -#ifdef FLOAT128 - -/*---------------------------------------------------------------------------- -| The pattern for a default generated quadruple-precision NaN. The `high' and -| `low' values hold the most- and least-significant bits, respectively. -*----------------------------------------------------------------------------*/ -#define float128_default_nan_high LIT64( 0x7FFFFFFFFFFFFFFF ) -#define float128_default_nan_low LIT64( 0xFFFFFFFFFFFFFFFF ) - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is a NaN; -| otherwise returns 0. -*----------------------------------------------------------------------------*/ - -flag float128_is_nan( float128 a ) -{ - - return - ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) ) - && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is a -| signaling NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -flag float128_is_signaling_nan( float128 a ) -{ - - return - ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) - && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point NaN -| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid -| exception is raised. -*----------------------------------------------------------------------------*/ - -static commonNaNT float128ToCommonNaN( float128 a ) -{ - commonNaNT z; - - if ( float128_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); - z.sign = a.high>>63; - shortShift128Left( a.high, a.low, 16, &z.high, &z.low ); - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the canonical NaN `a' to the quadruple- -| precision floating-point format. -*----------------------------------------------------------------------------*/ - -static float128 commonNaNToFloat128( commonNaNT a ) -{ - float128 z; - - shift128Right( a.high, a.low, 16, &z.high, &z.low ); - z.high |= ( ( (bits64) a.sign )<<63 ) | LIT64( 0x7FFF800000000000 ); - return z; - -} - -/*---------------------------------------------------------------------------- -| Takes two quadruple-precision floating-point values `a' and `b', one of -| which is a NaN, and returns the appropriate NaN result. If either `a' or -| `b' is a signaling NaN, the invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static float128 propagateFloat128NaN( float128 a, float128 b ) -{ - flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; - - aIsNaN = float128_is_nan( a ); - aIsSignalingNaN = float128_is_signaling_nan( a ); - bIsNaN = float128_is_nan( b ); - bIsSignalingNaN = float128_is_signaling_nan( b ); - a.high |= LIT64( 0x0000800000000000 ); - b.high |= LIT64( 0x0000800000000000 ); - if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); - return bIsSignalingNaN ? b : aIsSignalingNaN ? a : bIsNaN ? b : a; - -} - -#endif - diff --git a/softfloat/softfloat.c b/softfloat/softfloat.c deleted file mode 100644 index 0d09b40..0000000 --- a/softfloat/softfloat.c +++ /dev/null @@ -1,5188 +0,0 @@ - -/*============================================================================ - -This C source file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic -Package, Release 2b. - -Written by John R. Hauser. This work was made possible in part by the -International Computer Science Institute, located at Suite 600, 1947 Center -Street, Berkeley, California 94704. Funding was partially provided by the -National Science Foundation under grant MIP-9311980. The original version -of this code was written as part of a project to build a fixed-point vector -processor in collaboration with the University of California at Berkeley, -overseen by Profs. Nelson Morgan and John Wawrzynek. More information -is available through the Web page `http://www.cs.berkeley.edu/~jhauser/ -arithmetic/SoftFloat.html'. - -THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has -been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES -RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS -AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES, -COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE -EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE -INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR -OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE. - -Derivative works are acceptable, even for commercial purposes, so long as -(1) the source code for the derivative work includes prominent notice that -the work is derivative, and (2) the source code includes prominent notice with -these four paragraphs for those parts of this code that are retained. - -=============================================================================*/ - -#include "milieu.h" -#include "softfloat.h" - -/*---------------------------------------------------------------------------- -| Floating-point rounding mode, extended double-precision rounding precision, -| and exception flags. -*----------------------------------------------------------------------------*/ -int8 float_rounding_mode = float_round_nearest_even; -int8 float_exception_flags = 0; -#ifdef FLOATX80 -int8 floatx80_rounding_precision = 80; -#endif - -/*---------------------------------------------------------------------------- -| Primitive arithmetic functions, including multi-word arithmetic, and -| division and square root approximations. (Can be specialized to target if -| desired.) -*----------------------------------------------------------------------------*/ -#include "softfloat-macros" - -/*---------------------------------------------------------------------------- -| Functions and definitions to determine: (1) whether tininess for underflow -| is detected before or after rounding by default, (2) what (if anything) -| happens when exceptions are raised, (3) how signaling NaNs are distinguished -| from quiet NaNs, (4) the default generated quiet NaNs, and (5) how NaNs -| are propagated from function inputs to output. These details are target- -| specific. -*----------------------------------------------------------------------------*/ -#include "softfloat-specialize" - -/*---------------------------------------------------------------------------- -| Takes a 64-bit fixed-point value `absZ' with binary point between bits 6 -| and 7, and returns the properly rounded 32-bit integer corresponding to the -| input. If `zSign' is 1, the input is negated before being converted to an -| integer. Bit 63 of `absZ' must be zero. Ordinarily, the fixed-point input -| is simply rounded to an integer, with the inexact exception raised if the -| input cannot be represented exactly as an integer. However, if the fixed- -| point input is too large, the invalid exception is raised and the largest -| positive or negative integer is returned. -*----------------------------------------------------------------------------*/ - -static int32 roundAndPackInt32( flag zSign, bits64 absZ ) -{ - int8 roundingMode; - flag roundNearestEven; - int8 roundIncrement, roundBits; - int32 z; - - roundingMode = float_rounding_mode; - roundNearestEven = ( roundingMode == float_round_nearest_even ); - roundIncrement = 0x40; - if ( ! roundNearestEven ) { - if ( roundingMode == float_round_to_zero ) { - roundIncrement = 0; - } - else { - roundIncrement = 0x7F; - if ( zSign ) { - if ( roundingMode == float_round_up ) roundIncrement = 0; - } - else { - if ( roundingMode == float_round_down ) roundIncrement = 0; - } - } - } - roundBits = absZ & 0x7F; - absZ = ( absZ + roundIncrement )>>7; - absZ &= ~ ( ( ( roundBits ^ 0x40 ) == 0 ) & roundNearestEven ); - z = absZ; - if ( zSign ) z = - z; - if ( ( absZ>>32 ) || ( z && ( ( z < 0 ) ^ zSign ) ) ) { - float_raise( float_flag_invalid ); - return zSign ? (sbits32) 0x80000000 : 0x7FFFFFFF; - } - if ( roundBits ) float_exception_flags |= float_flag_inexact; - return z; - -} - -/*---------------------------------------------------------------------------- -| Takes the 128-bit fixed-point value formed by concatenating `absZ0' and -| `absZ1', with binary point between bits 63 and 64 (between the input words), -| and returns the properly rounded 64-bit integer corresponding to the input. -| If `zSign' is 1, the input is negated before being converted to an integer. -| Ordinarily, the fixed-point input is simply rounded to an integer, with -| the inexact exception raised if the input cannot be represented exactly as -| an integer. However, if the fixed-point input is too large, the invalid -| exception is raised and the largest positive or negative integer is -| returned. -*----------------------------------------------------------------------------*/ - -static int64 roundAndPackInt64( flag zSign, bits64 absZ0, bits64 absZ1 ) -{ - int8 roundingMode; - flag roundNearestEven, increment; - int64 z; - - roundingMode = float_rounding_mode; - roundNearestEven = ( roundingMode == float_round_nearest_even ); - increment = ( (sbits64) absZ1 < 0 ); - if ( ! roundNearestEven ) { - if ( roundingMode == float_round_to_zero ) { - increment = 0; - } - else { - if ( zSign ) { - increment = ( roundingMode == float_round_down ) && absZ1; - } - else { - increment = ( roundingMode == float_round_up ) && absZ1; - } - } - } - if ( increment ) { - ++absZ0; - if ( absZ0 == 0 ) goto overflow; - absZ0 &= ~ ( ( (bits64) ( absZ1<<1 ) == 0 ) & roundNearestEven ); - } - z = absZ0; - if ( zSign ) z = - z; - if ( z && ( ( z < 0 ) ^ zSign ) ) { - overflow: - float_raise( float_flag_invalid ); - return - zSign ? (sbits64) LIT64( 0x8000000000000000 ) - : LIT64( 0x7FFFFFFFFFFFFFFF ); - } - if ( absZ1 ) float_exception_flags |= float_flag_inexact; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the fraction bits of the single-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -INLINE bits32 extractFloat32Frac( float32 a ) -{ - - return a & 0x007FFFFF; - -} - -/*---------------------------------------------------------------------------- -| Returns the exponent bits of the single-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -INLINE int16 extractFloat32Exp( float32 a ) -{ - - return ( a>>23 ) & 0xFF; - -} - -/*---------------------------------------------------------------------------- -| Returns the sign bit of the single-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -INLINE flag extractFloat32Sign( float32 a ) -{ - - return a>>31; - -} - -/*---------------------------------------------------------------------------- -| Normalizes the subnormal single-precision floating-point value represented -| by the denormalized significand `aSig'. The normalized exponent and -| significand are stored at the locations pointed to by `zExpPtr' and -| `zSigPtr', respectively. -*----------------------------------------------------------------------------*/ - -static void - normalizeFloat32Subnormal( bits32 aSig, int16 *zExpPtr, bits32 *zSigPtr ) -{ - int8 shiftCount; - - shiftCount = countLeadingZeros32( aSig ) - 8; - *zSigPtr = aSig<>7; - zSig &= ~ ( ( ( roundBits ^ 0x40 ) == 0 ) & roundNearestEven ); - if ( zSig == 0 ) zExp = 0; - return packFloat32( zSign, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Takes an abstract floating-point value having sign `zSign', exponent `zExp', -| and significand `zSig', and returns the proper single-precision floating- -| point value corresponding to the abstract input. This routine is just like -| `roundAndPackFloat32' except that `zSig' does not have to be normalized. -| Bit 31 of `zSig' must be zero, and `zExp' must be 1 less than the ``true'' -| floating-point exponent. -*----------------------------------------------------------------------------*/ - -static float32 - normalizeRoundAndPackFloat32( flag zSign, int16 zExp, bits32 zSig ) -{ - int8 shiftCount; - - shiftCount = countLeadingZeros32( zSig ) - 1; - return roundAndPackFloat32( zSign, zExp - shiftCount, zSig<>52 ) & 0x7FF; - -} - -/*---------------------------------------------------------------------------- -| Returns the sign bit of the double-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -INLINE flag extractFloat64Sign( float64 a ) -{ - - return a>>63; - -} - -/*---------------------------------------------------------------------------- -| Normalizes the subnormal double-precision floating-point value represented -| by the denormalized significand `aSig'. The normalized exponent and -| significand are stored at the locations pointed to by `zExpPtr' and -| `zSigPtr', respectively. -*----------------------------------------------------------------------------*/ - -static void - normalizeFloat64Subnormal( bits64 aSig, int16 *zExpPtr, bits64 *zSigPtr ) -{ - int8 shiftCount; - - shiftCount = countLeadingZeros64( aSig ) - 11; - *zSigPtr = aSig<>10; - zSig &= ~ ( ( ( roundBits ^ 0x200 ) == 0 ) & roundNearestEven ); - if ( zSig == 0 ) zExp = 0; - return packFloat64( zSign, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Takes an abstract floating-point value having sign `zSign', exponent `zExp', -| and significand `zSig', and returns the proper double-precision floating- -| point value corresponding to the abstract input. This routine is just like -| `roundAndPackFloat64' except that `zSig' does not have to be normalized. -| Bit 63 of `zSig' must be zero, and `zExp' must be 1 less than the ``true'' -| floating-point exponent. -*----------------------------------------------------------------------------*/ - -static float64 - normalizeRoundAndPackFloat64( flag zSign, int16 zExp, bits64 zSig ) -{ - int8 shiftCount; - - shiftCount = countLeadingZeros64( zSig ) - 1; - return roundAndPackFloat64( zSign, zExp - shiftCount, zSig<>15; - -} - -/*---------------------------------------------------------------------------- -| Normalizes the subnormal extended double-precision floating-point value -| represented by the denormalized significand `aSig'. The normalized exponent -| and significand are stored at the locations pointed to by `zExpPtr' and -| `zSigPtr', respectively. -*----------------------------------------------------------------------------*/ - -static void - normalizeFloatx80Subnormal( bits64 aSig, int32 *zExpPtr, bits64 *zSigPtr ) -{ - int8 shiftCount; - - shiftCount = countLeadingZeros64( aSig ); - *zSigPtr = aSig<>48 ) & 0x7FFF; - -} - -/*---------------------------------------------------------------------------- -| Returns the sign bit of the quadruple-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -INLINE flag extractFloat128Sign( float128 a ) -{ - - return a.high>>63; - -} - -/*---------------------------------------------------------------------------- -| Normalizes the subnormal quadruple-precision floating-point value -| represented by the denormalized significand formed by the concatenation of -| `aSig0' and `aSig1'. The normalized exponent is stored at the location -| pointed to by `zExpPtr'. The most significant 49 bits of the normalized -| significand are stored at the location pointed to by `zSig0Ptr', and the -| least significant 64 bits of the normalized significand are stored at the -| location pointed to by `zSig1Ptr'. -*----------------------------------------------------------------------------*/ - -static void - normalizeFloat128Subnormal( - bits64 aSig0, - bits64 aSig1, - int32 *zExpPtr, - bits64 *zSig0Ptr, - bits64 *zSig1Ptr - ) -{ - int8 shiftCount; - - if ( aSig0 == 0 ) { - shiftCount = countLeadingZeros64( aSig1 ) - 15; - if ( shiftCount < 0 ) { - *zSig0Ptr = aSig1>>( - shiftCount ); - *zSig1Ptr = aSig1<<( shiftCount & 63 ); - } - else { - *zSig0Ptr = aSig1<>( - shiftCount ); - if ( (bits32) ( aSig<<( shiftCount & 31 ) ) ) { - float_exception_flags |= float_flag_inexact; - } - if ( aSign ) z = - z; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the 64-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic---which means in particular that the conversion is rounded -| according to the current rounding mode. If `a' is a NaN, the largest -| positive integer is returned. Otherwise, if the conversion overflows, the -| largest integer with the same sign as `a' is returned. -*----------------------------------------------------------------------------*/ - -int64 float32_to_int64( float32 a ) -{ - flag aSign; - int16 aExp, shiftCount; - bits32 aSig; - bits64 aSig64, aSigExtra; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - shiftCount = 0xBE - aExp; - if ( shiftCount < 0 ) { - float_raise( float_flag_invalid ); - if ( ! aSign || ( ( aExp == 0xFF ) && aSig ) ) { - return LIT64( 0x7FFFFFFFFFFFFFFF ); - } - return (sbits64) LIT64( 0x8000000000000000 ); - } - if ( aExp ) aSig |= 0x00800000; - aSig64 = aSig; - aSig64 <<= 40; - shift64ExtraRightJamming( aSig64, 0, shiftCount, &aSig64, &aSigExtra ); - return roundAndPackInt64( aSign, aSig64, aSigExtra ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the 64-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic, except that the conversion is always rounded toward zero. If -| `a' is a NaN, the largest positive integer is returned. Otherwise, if the -| conversion overflows, the largest integer with the same sign as `a' is -| returned. -*----------------------------------------------------------------------------*/ - -int64 float32_to_int64_round_to_zero( float32 a ) -{ - flag aSign; - int16 aExp, shiftCount; - bits32 aSig; - bits64 aSig64; - int64 z; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - shiftCount = aExp - 0xBE; - if ( 0 <= shiftCount ) { - if ( a != 0xDF000000 ) { - float_raise( float_flag_invalid ); - if ( ! aSign || ( ( aExp == 0xFF ) && aSig ) ) { - return LIT64( 0x7FFFFFFFFFFFFFFF ); - } - } - return (sbits64) LIT64( 0x8000000000000000 ); - } - else if ( aExp <= 0x7E ) { - if ( aExp | aSig ) float_exception_flags |= float_flag_inexact; - return 0; - } - aSig64 = aSig | 0x00800000; - aSig64 <<= 40; - z = aSig64>>( - shiftCount ); - if ( (bits64) ( aSig64<<( shiftCount & 63 ) ) ) { - float_exception_flags |= float_flag_inexact; - } - if ( aSign ) z = - z; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the double-precision floating-point format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float32_to_float64( float32 a ) -{ - flag aSign; - int16 aExp; - bits32 aSig; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - if ( aExp == 0xFF ) { - if ( aSig ) return commonNaNToFloat64( float32ToCommonNaN( a ) ); - return packFloat64( aSign, 0x7FF, 0 ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloat64( aSign, 0, 0 ); - normalizeFloat32Subnormal( aSig, &aExp, &aSig ); - --aExp; - } - return packFloat64( aSign, aExp + 0x380, ( (bits64) aSig )<<29 ); - -} - -#ifdef FLOATX80 - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the extended double-precision floating-point format. The conversion -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 float32_to_floatx80( float32 a ) -{ - flag aSign; - int16 aExp; - bits32 aSig; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - if ( aExp == 0xFF ) { - if ( aSig ) return commonNaNToFloatx80( float32ToCommonNaN( a ) ); - return packFloatx80( aSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloatx80( aSign, 0, 0 ); - normalizeFloat32Subnormal( aSig, &aExp, &aSig ); - } - aSig |= 0x00800000; - return packFloatx80( aSign, aExp + 0x3F80, ( (bits64) aSig )<<40 ); - -} - -#endif - -#ifdef FLOAT128 - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the double-precision floating-point format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float32_to_float128( float32 a ) -{ - flag aSign; - int16 aExp; - bits32 aSig; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - if ( aExp == 0xFF ) { - if ( aSig ) return commonNaNToFloat128( float32ToCommonNaN( a ) ); - return packFloat128( aSign, 0x7FFF, 0, 0 ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloat128( aSign, 0, 0, 0 ); - normalizeFloat32Subnormal( aSig, &aExp, &aSig ); - --aExp; - } - return packFloat128( aSign, aExp + 0x3F80, ( (bits64) aSig )<<25, 0 ); - -} - -#endif - -/*---------------------------------------------------------------------------- -| Rounds the single-precision floating-point value `a' to an integer, and -| returns the result as a single-precision floating-point value. The -| operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_round_to_int( float32 a ) -{ - flag aSign; - int16 aExp; - bits32 lastBitMask, roundBitsMask; - int8 roundingMode; - float32 z; - - aExp = extractFloat32Exp( a ); - if ( 0x96 <= aExp ) { - if ( ( aExp == 0xFF ) && extractFloat32Frac( a ) ) { - return propagateFloat32NaN( a, a ); - } - return a; - } - if ( aExp <= 0x7E ) { - if ( (bits32) ( a<<1 ) == 0 ) return a; - float_exception_flags |= float_flag_inexact; - aSign = extractFloat32Sign( a ); - switch ( float_rounding_mode ) { - case float_round_nearest_even: - if ( ( aExp == 0x7E ) && extractFloat32Frac( a ) ) { - return packFloat32( aSign, 0x7F, 0 ); - } - break; - case float_round_down: - return aSign ? 0xBF800000 : 0; - case float_round_up: - return aSign ? 0x80000000 : 0x3F800000; - } - return packFloat32( aSign, 0, 0 ); - } - lastBitMask = 1; - lastBitMask <<= 0x96 - aExp; - roundBitsMask = lastBitMask - 1; - z = a; - roundingMode = float_rounding_mode; - if ( roundingMode == float_round_nearest_even ) { - z += lastBitMask>>1; - if ( ( z & roundBitsMask ) == 0 ) z &= ~ lastBitMask; - } - else if ( roundingMode != float_round_to_zero ) { - if ( extractFloat32Sign( z ) ^ ( roundingMode == float_round_up ) ) { - z += roundBitsMask; - } - } - z &= ~ roundBitsMask; - if ( z != a ) float_exception_flags |= float_flag_inexact; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the absolute values of the single-precision -| floating-point values `a' and `b'. If `zSign' is 1, the sum is negated -| before being returned. `zSign' is ignored if the result is a NaN. -| The addition is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float32 addFloat32Sigs( float32 a, float32 b, flag zSign ) -{ - int16 aExp, bExp, zExp; - bits32 aSig, bSig, zSig; - int16 expDiff; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - bSig = extractFloat32Frac( b ); - bExp = extractFloat32Exp( b ); - expDiff = aExp - bExp; - aSig <<= 6; - bSig <<= 6; - if ( 0 < expDiff ) { - if ( aExp == 0xFF ) { - if ( aSig ) return propagateFloat32NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig |= 0x20000000; - } - shift32RightJamming( bSig, expDiff, &bSig ); - zExp = aExp; - } - else if ( expDiff < 0 ) { - if ( bExp == 0xFF ) { - if ( bSig ) return propagateFloat32NaN( a, b ); - return packFloat32( zSign, 0xFF, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig |= 0x20000000; - } - shift32RightJamming( aSig, - expDiff, &aSig ); - zExp = bExp; - } - else { - if ( aExp == 0xFF ) { - if ( aSig | bSig ) return propagateFloat32NaN( a, b ); - return a; - } - if ( aExp == 0 ) return packFloat32( zSign, 0, ( aSig + bSig )>>6 ); - zSig = 0x40000000 + aSig + bSig; - zExp = aExp; - goto roundAndPack; - } - aSig |= 0x20000000; - zSig = ( aSig + bSig )<<1; - --zExp; - if ( (sbits32) zSig < 0 ) { - zSig = aSig + bSig; - ++zExp; - } - roundAndPack: - return roundAndPackFloat32( zSign, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the absolute values of the single- -| precision floating-point values `a' and `b'. If `zSign' is 1, the -| difference is negated before being returned. `zSign' is ignored if the -| result is a NaN. The subtraction is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float32 subFloat32Sigs( float32 a, float32 b, flag zSign ) -{ - int16 aExp, bExp, zExp; - bits32 aSig, bSig, zSig; - int16 expDiff; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - bSig = extractFloat32Frac( b ); - bExp = extractFloat32Exp( b ); - expDiff = aExp - bExp; - aSig <<= 7; - bSig <<= 7; - if ( 0 < expDiff ) goto aExpBigger; - if ( expDiff < 0 ) goto bExpBigger; - if ( aExp == 0xFF ) { - if ( aSig | bSig ) return propagateFloat32NaN( a, b ); - float_raise( float_flag_invalid ); - return float32_default_nan; - } - if ( aExp == 0 ) { - aExp = 1; - bExp = 1; - } - if ( bSig < aSig ) goto aBigger; - if ( aSig < bSig ) goto bBigger; - return packFloat32( float_rounding_mode == float_round_down, 0, 0 ); - bExpBigger: - if ( bExp == 0xFF ) { - if ( bSig ) return propagateFloat32NaN( a, b ); - return packFloat32( zSign ^ 1, 0xFF, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig |= 0x40000000; - } - shift32RightJamming( aSig, - expDiff, &aSig ); - bSig |= 0x40000000; - bBigger: - zSig = bSig - aSig; - zExp = bExp; - zSign ^= 1; - goto normalizeRoundAndPack; - aExpBigger: - if ( aExp == 0xFF ) { - if ( aSig ) return propagateFloat32NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig |= 0x40000000; - } - shift32RightJamming( bSig, expDiff, &bSig ); - aSig |= 0x40000000; - aBigger: - zSig = aSig - bSig; - zExp = aExp; - normalizeRoundAndPack: - --zExp; - return normalizeRoundAndPackFloat32( zSign, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the single-precision floating-point values `a' -| and `b'. The operation is performed according to the IEC/IEEE Standard for -| Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_add( float32 a, float32 b ) -{ - flag aSign, bSign; - - aSign = extractFloat32Sign( a ); - bSign = extractFloat32Sign( b ); - if ( aSign == bSign ) { - return addFloat32Sigs( a, b, aSign ); - } - else { - return subFloat32Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the single-precision floating-point values -| `a' and `b'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_sub( float32 a, float32 b ) -{ - flag aSign, bSign; - - aSign = extractFloat32Sign( a ); - bSign = extractFloat32Sign( b ); - if ( aSign == bSign ) { - return subFloat32Sigs( a, b, aSign ); - } - else { - return addFloat32Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of multiplying the single-precision floating-point values -| `a' and `b'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_mul( float32 a, float32 b ) -{ - flag aSign, bSign, zSign; - int16 aExp, bExp, zExp; - bits32 aSig, bSig; - bits64 zSig64; - bits32 zSig; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - bSig = extractFloat32Frac( b ); - bExp = extractFloat32Exp( b ); - bSign = extractFloat32Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0xFF ) { - if ( aSig || ( ( bExp == 0xFF ) && bSig ) ) { - return propagateFloat32NaN( a, b ); - } - if ( ( bExp | bSig ) == 0 ) { - float_raise( float_flag_invalid ); - return float32_default_nan; - } - return packFloat32( zSign, 0xFF, 0 ); - } - if ( bExp == 0xFF ) { - if ( bSig ) return propagateFloat32NaN( a, b ); - if ( ( aExp | aSig ) == 0 ) { - float_raise( float_flag_invalid ); - return float32_default_nan; - } - return packFloat32( zSign, 0xFF, 0 ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloat32( zSign, 0, 0 ); - normalizeFloat32Subnormal( aSig, &aExp, &aSig ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) return packFloat32( zSign, 0, 0 ); - normalizeFloat32Subnormal( bSig, &bExp, &bSig ); - } - zExp = aExp + bExp - 0x7F; - aSig = ( aSig | 0x00800000 )<<7; - bSig = ( bSig | 0x00800000 )<<8; - shift64RightJamming( ( (bits64) aSig ) * bSig, 32, &zSig64 ); - zSig = zSig64; - if ( 0 <= (sbits32) ( zSig<<1 ) ) { - zSig <<= 1; - --zExp; - } - return roundAndPackFloat32( zSign, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of dividing the single-precision floating-point value `a' -| by the corresponding value `b'. The operation is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_div( float32 a, float32 b ) -{ - flag aSign, bSign, zSign; - int16 aExp, bExp, zExp; - bits32 aSig, bSig, zSig; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - bSig = extractFloat32Frac( b ); - bExp = extractFloat32Exp( b ); - bSign = extractFloat32Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0xFF ) { - if ( aSig ) return propagateFloat32NaN( a, b ); - if ( bExp == 0xFF ) { - if ( bSig ) return propagateFloat32NaN( a, b ); - float_raise( float_flag_invalid ); - return float32_default_nan; - } - return packFloat32( zSign, 0xFF, 0 ); - } - if ( bExp == 0xFF ) { - if ( bSig ) return propagateFloat32NaN( a, b ); - return packFloat32( zSign, 0, 0 ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - if ( ( aExp | aSig ) == 0 ) { - float_raise( float_flag_invalid ); - return float32_default_nan; - } - float_raise( float_flag_divbyzero ); - return packFloat32( zSign, 0xFF, 0 ); - } - normalizeFloat32Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloat32( zSign, 0, 0 ); - normalizeFloat32Subnormal( aSig, &aExp, &aSig ); - } - zExp = aExp - bExp + 0x7D; - aSig = ( aSig | 0x00800000 )<<7; - bSig = ( bSig | 0x00800000 )<<8; - if ( bSig <= ( aSig + aSig ) ) { - aSig >>= 1; - ++zExp; - } - zSig = ( ( (bits64) aSig )<<32 ) / bSig; - if ( ( zSig & 0x3F ) == 0 ) { - zSig |= ( (bits64) bSig * zSig != ( (bits64) aSig )<<32 ); - } - return roundAndPackFloat32( zSign, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the remainder of the single-precision floating-point value `a' -| with respect to the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_rem( float32 a, float32 b ) -{ - flag aSign, bSign, zSign; - int16 aExp, bExp, expDiff; - bits32 aSig, bSig; - bits32 q; - bits64 aSig64, bSig64, q64; - bits32 alternateASig; - sbits32 sigMean; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - bSig = extractFloat32Frac( b ); - bExp = extractFloat32Exp( b ); - bSign = extractFloat32Sign( b ); - if ( aExp == 0xFF ) { - if ( aSig || ( ( bExp == 0xFF ) && bSig ) ) { - return propagateFloat32NaN( a, b ); - } - float_raise( float_flag_invalid ); - return float32_default_nan; - } - if ( bExp == 0xFF ) { - if ( bSig ) return propagateFloat32NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - float_raise( float_flag_invalid ); - return float32_default_nan; - } - normalizeFloat32Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return a; - normalizeFloat32Subnormal( aSig, &aExp, &aSig ); - } - expDiff = aExp - bExp; - aSig |= 0x00800000; - bSig |= 0x00800000; - if ( expDiff < 32 ) { - aSig <<= 8; - bSig <<= 8; - if ( expDiff < 0 ) { - if ( expDiff < -1 ) return a; - aSig >>= 1; - } - q = ( bSig <= aSig ); - if ( q ) aSig -= bSig; - if ( 0 < expDiff ) { - q = ( ( (bits64) aSig )<<32 ) / bSig; - q >>= 32 - expDiff; - bSig >>= 2; - aSig = ( ( aSig>>1 )<<( expDiff - 1 ) ) - bSig * q; - } - else { - aSig >>= 2; - bSig >>= 2; - } - } - else { - if ( bSig <= aSig ) aSig -= bSig; - aSig64 = ( (bits64) aSig )<<40; - bSig64 = ( (bits64) bSig )<<40; - expDiff -= 64; - while ( 0 < expDiff ) { - q64 = estimateDiv128To64( aSig64, 0, bSig64 ); - q64 = ( 2 < q64 ) ? q64 - 2 : 0; - aSig64 = - ( ( bSig * q64 )<<38 ); - expDiff -= 62; - } - expDiff += 64; - q64 = estimateDiv128To64( aSig64, 0, bSig64 ); - q64 = ( 2 < q64 ) ? q64 - 2 : 0; - q = q64>>( 64 - expDiff ); - bSig <<= 6; - aSig = ( ( aSig64>>33 )<<( expDiff - 1 ) ) - bSig * q; - } - do { - alternateASig = aSig; - ++q; - aSig -= bSig; - } while ( 0 <= (sbits32) aSig ); - sigMean = aSig + alternateASig; - if ( ( sigMean < 0 ) || ( ( sigMean == 0 ) && ( q & 1 ) ) ) { - aSig = alternateASig; - } - zSign = ( (sbits32) aSig < 0 ); - if ( zSign ) aSig = - aSig; - return normalizeRoundAndPackFloat32( aSign ^ zSign, bExp, aSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the square root of the single-precision floating-point value `a'. -| The operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_sqrt( float32 a ) -{ - flag aSign; - int16 aExp, zExp; - bits32 aSig, zSig; - bits64 rem, term; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - if ( aExp == 0xFF ) { - if ( aSig ) return propagateFloat32NaN( a, 0 ); - if ( ! aSign ) return a; - float_raise( float_flag_invalid ); - return float32_default_nan; - } - if ( aSign ) { - if ( ( aExp | aSig ) == 0 ) return a; - float_raise( float_flag_invalid ); - return float32_default_nan; - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return 0; - normalizeFloat32Subnormal( aSig, &aExp, &aSig ); - } - zExp = ( ( aExp - 0x7F )>>1 ) + 0x7E; - aSig = ( aSig | 0x00800000 )<<8; - zSig = estimateSqrt32( aExp, aSig ) + 2; - if ( ( zSig & 0x7F ) <= 5 ) { - if ( zSig < 2 ) { - zSig = 0x7FFFFFFF; - goto roundAndPack; - } - aSig >>= aExp & 1; - term = ( (bits64) zSig ) * zSig; - rem = ( ( (bits64) aSig )<<32 ) - term; - while ( (sbits64) rem < 0 ) { - --zSig; - rem += ( ( (bits64) zSig )<<1 ) | 1; - } - zSig |= ( rem != 0 ); - } - shift32RightJamming( zSig, 1, &zSig ); - roundAndPack: - return roundAndPackFloat32( 0, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the single-precision floating-point value `a' is equal to -| the corresponding value `b', and 0 otherwise. The comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float32_eq( float32 a, float32 b ) -{ - - if ( ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) ) - || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) ) - ) { - if ( float32_is_signaling_nan( a ) || float32_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - return ( a == b ) || ( (bits32) ( ( a | b )<<1 ) == 0 ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the single-precision floating-point value `a' is less than -| or equal to the corresponding value `b', and 0 otherwise. The comparison -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float32_le( float32 a, float32 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) ) - || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloat32Sign( a ); - bSign = extractFloat32Sign( b ); - if ( aSign != bSign ) return aSign || ( (bits32) ( ( a | b )<<1 ) == 0 ); - return ( a == b ) || ( aSign ^ ( a < b ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the single-precision floating-point value `a' is less than -| the corresponding value `b', and 0 otherwise. The comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float32_lt( float32 a, float32 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) ) - || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloat32Sign( a ); - bSign = extractFloat32Sign( b ); - if ( aSign != bSign ) return aSign && ( (bits32) ( ( a | b )<<1 ) != 0 ); - return ( a != b ) && ( aSign ^ ( a < b ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the single-precision floating-point value `a' is equal to -| the corresponding value `b', and 0 otherwise. The invalid exception is -| raised if either operand is a NaN. Otherwise, the comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float32_eq_signaling( float32 a, float32 b ) -{ - - if ( ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) ) - || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - return ( a == b ) || ( (bits32) ( ( a | b )<<1 ) == 0 ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the single-precision floating-point value `a' is less than or -| equal to the corresponding value `b', and 0 otherwise. Quiet NaNs do not -| cause an exception. Otherwise, the comparison is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float32_le_quiet( float32 a, float32 b ) -{ - flag aSign, bSign; - int16 aExp, bExp; - - if ( ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) ) - || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) ) - ) { - if ( float32_is_signaling_nan( a ) || float32_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloat32Sign( a ); - bSign = extractFloat32Sign( b ); - if ( aSign != bSign ) return aSign || ( (bits32) ( ( a | b )<<1 ) == 0 ); - return ( a == b ) || ( aSign ^ ( a < b ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the single-precision floating-point value `a' is less than -| the corresponding value `b', and 0 otherwise. Quiet NaNs do not cause an -| exception. Otherwise, the comparison is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float32_lt_quiet( float32 a, float32 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) ) - || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) ) - ) { - if ( float32_is_signaling_nan( a ) || float32_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloat32Sign( a ); - bSign = extractFloat32Sign( b ); - if ( aSign != bSign ) return aSign && ( (bits32) ( ( a | b )<<1 ) != 0 ); - return ( a != b ) && ( aSign ^ ( a < b ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point value -| `a' to the 32-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic---which means in particular that the conversion is rounded -| according to the current rounding mode. If `a' is a NaN, the largest -| positive integer is returned. Otherwise, if the conversion overflows, the -| largest integer with the same sign as `a' is returned. -*----------------------------------------------------------------------------*/ - -int32 float64_to_int32( float64 a ) -{ - flag aSign; - int16 aExp, shiftCount; - bits64 aSig; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( ( aExp == 0x7FF ) && aSig ) aSign = 0; - if ( aExp ) aSig |= LIT64( 0x0010000000000000 ); - shiftCount = 0x42C - aExp; - if ( 0 < shiftCount ) shift64RightJamming( aSig, shiftCount, &aSig ); - return roundAndPackInt32( aSign, aSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point value -| `a' to the 32-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic, except that the conversion is always rounded toward zero. -| If `a' is a NaN, the largest positive integer is returned. Otherwise, if -| the conversion overflows, the largest integer with the same sign as `a' is -| returned. -*----------------------------------------------------------------------------*/ - -int32 float64_to_int32_round_to_zero( float64 a ) -{ - flag aSign; - int16 aExp, shiftCount; - bits64 aSig, savedASig; - int32 z; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( 0x41E < aExp ) { - if ( ( aExp == 0x7FF ) && aSig ) aSign = 0; - goto invalid; - } - else if ( aExp < 0x3FF ) { - if ( aExp || aSig ) float_exception_flags |= float_flag_inexact; - return 0; - } - aSig |= LIT64( 0x0010000000000000 ); - shiftCount = 0x433 - aExp; - savedASig = aSig; - aSig >>= shiftCount; - z = aSig; - if ( aSign ) z = - z; - if ( ( z < 0 ) ^ aSign ) { - invalid: - float_raise( float_flag_invalid ); - return aSign ? (sbits32) 0x80000000 : 0x7FFFFFFF; - } - if ( ( aSig<>( - shiftCount ); - if ( (bits64) ( aSig<<( shiftCount & 63 ) ) ) { - float_exception_flags |= float_flag_inexact; - } - } - if ( aSign ) z = - z; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point value -| `a' to the single-precision floating-point format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float64_to_float32( float64 a ) -{ - flag aSign; - int16 aExp; - bits64 aSig; - bits32 zSig; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( aExp == 0x7FF ) { - if ( aSig ) return commonNaNToFloat32( float64ToCommonNaN( a ) ); - return packFloat32( aSign, 0xFF, 0 ); - } - shift64RightJamming( aSig, 22, &aSig ); - zSig = aSig; - if ( aExp || zSig ) { - zSig |= 0x40000000; - aExp -= 0x381; - } - return roundAndPackFloat32( aSign, aExp, zSig ); - -} - -#ifdef FLOATX80 - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point value -| `a' to the extended double-precision floating-point format. The conversion -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 float64_to_floatx80( float64 a ) -{ - flag aSign; - int16 aExp; - bits64 aSig; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( aExp == 0x7FF ) { - if ( aSig ) return commonNaNToFloatx80( float64ToCommonNaN( a ) ); - return packFloatx80( aSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloatx80( aSign, 0, 0 ); - normalizeFloat64Subnormal( aSig, &aExp, &aSig ); - } - return - packFloatx80( - aSign, aExp + 0x3C00, ( aSig | LIT64( 0x0010000000000000 ) )<<11 ); - -} - -#endif - -#ifdef FLOAT128 - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point value -| `a' to the quadruple-precision floating-point format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float64_to_float128( float64 a ) -{ - flag aSign; - int16 aExp; - bits64 aSig, zSig0, zSig1; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( aExp == 0x7FF ) { - if ( aSig ) return commonNaNToFloat128( float64ToCommonNaN( a ) ); - return packFloat128( aSign, 0x7FFF, 0, 0 ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloat128( aSign, 0, 0, 0 ); - normalizeFloat64Subnormal( aSig, &aExp, &aSig ); - --aExp; - } - shift128Right( aSig, 0, 4, &zSig0, &zSig1 ); - return packFloat128( aSign, aExp + 0x3C00, zSig0, zSig1 ); - -} - -#endif - -/*---------------------------------------------------------------------------- -| Rounds the double-precision floating-point value `a' to an integer, and -| returns the result as a double-precision floating-point value. The -| operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_round_to_int( float64 a ) -{ - flag aSign; - int16 aExp; - bits64 lastBitMask, roundBitsMask; - int8 roundingMode; - float64 z; - - aExp = extractFloat64Exp( a ); - if ( 0x433 <= aExp ) { - if ( ( aExp == 0x7FF ) && extractFloat64Frac( a ) ) { - return propagateFloat64NaN( a, a ); - } - return a; - } - if ( aExp < 0x3FF ) { - if ( (bits64) ( a<<1 ) == 0 ) return a; - float_exception_flags |= float_flag_inexact; - aSign = extractFloat64Sign( a ); - switch ( float_rounding_mode ) { - case float_round_nearest_even: - if ( ( aExp == 0x3FE ) && extractFloat64Frac( a ) ) { - return packFloat64( aSign, 0x3FF, 0 ); - } - break; - case float_round_down: - return aSign ? LIT64( 0xBFF0000000000000 ) : 0; - case float_round_up: - return - aSign ? LIT64( 0x8000000000000000 ) : LIT64( 0x3FF0000000000000 ); - } - return packFloat64( aSign, 0, 0 ); - } - lastBitMask = 1; - lastBitMask <<= 0x433 - aExp; - roundBitsMask = lastBitMask - 1; - z = a; - roundingMode = float_rounding_mode; - if ( roundingMode == float_round_nearest_even ) { - z += lastBitMask>>1; - if ( ( z & roundBitsMask ) == 0 ) z &= ~ lastBitMask; - } - else if ( roundingMode != float_round_to_zero ) { - if ( extractFloat64Sign( z ) ^ ( roundingMode == float_round_up ) ) { - z += roundBitsMask; - } - } - z &= ~ roundBitsMask; - if ( z != a ) float_exception_flags |= float_flag_inexact; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the absolute values of the double-precision -| floating-point values `a' and `b'. If `zSign' is 1, the sum is negated -| before being returned. `zSign' is ignored if the result is a NaN. -| The addition is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float64 addFloat64Sigs( float64 a, float64 b, flag zSign ) -{ - int16 aExp, bExp, zExp; - bits64 aSig, bSig, zSig; - int16 expDiff; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - bSig = extractFloat64Frac( b ); - bExp = extractFloat64Exp( b ); - expDiff = aExp - bExp; - aSig <<= 9; - bSig <<= 9; - if ( 0 < expDiff ) { - if ( aExp == 0x7FF ) { - if ( aSig ) return propagateFloat64NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig |= LIT64( 0x2000000000000000 ); - } - shift64RightJamming( bSig, expDiff, &bSig ); - zExp = aExp; - } - else if ( expDiff < 0 ) { - if ( bExp == 0x7FF ) { - if ( bSig ) return propagateFloat64NaN( a, b ); - return packFloat64( zSign, 0x7FF, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig |= LIT64( 0x2000000000000000 ); - } - shift64RightJamming( aSig, - expDiff, &aSig ); - zExp = bExp; - } - else { - if ( aExp == 0x7FF ) { - if ( aSig | bSig ) return propagateFloat64NaN( a, b ); - return a; - } - if ( aExp == 0 ) return packFloat64( zSign, 0, ( aSig + bSig )>>9 ); - zSig = LIT64( 0x4000000000000000 ) + aSig + bSig; - zExp = aExp; - goto roundAndPack; - } - aSig |= LIT64( 0x2000000000000000 ); - zSig = ( aSig + bSig )<<1; - --zExp; - if ( (sbits64) zSig < 0 ) { - zSig = aSig + bSig; - ++zExp; - } - roundAndPack: - return roundAndPackFloat64( zSign, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the absolute values of the double- -| precision floating-point values `a' and `b'. If `zSign' is 1, the -| difference is negated before being returned. `zSign' is ignored if the -| result is a NaN. The subtraction is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float64 subFloat64Sigs( float64 a, float64 b, flag zSign ) -{ - int16 aExp, bExp, zExp; - bits64 aSig, bSig, zSig; - int16 expDiff; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - bSig = extractFloat64Frac( b ); - bExp = extractFloat64Exp( b ); - expDiff = aExp - bExp; - aSig <<= 10; - bSig <<= 10; - if ( 0 < expDiff ) goto aExpBigger; - if ( expDiff < 0 ) goto bExpBigger; - if ( aExp == 0x7FF ) { - if ( aSig | bSig ) return propagateFloat64NaN( a, b ); - float_raise( float_flag_invalid ); - return float64_default_nan; - } - if ( aExp == 0 ) { - aExp = 1; - bExp = 1; - } - if ( bSig < aSig ) goto aBigger; - if ( aSig < bSig ) goto bBigger; - return packFloat64( float_rounding_mode == float_round_down, 0, 0 ); - bExpBigger: - if ( bExp == 0x7FF ) { - if ( bSig ) return propagateFloat64NaN( a, b ); - return packFloat64( zSign ^ 1, 0x7FF, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig |= LIT64( 0x4000000000000000 ); - } - shift64RightJamming( aSig, - expDiff, &aSig ); - bSig |= LIT64( 0x4000000000000000 ); - bBigger: - zSig = bSig - aSig; - zExp = bExp; - zSign ^= 1; - goto normalizeRoundAndPack; - aExpBigger: - if ( aExp == 0x7FF ) { - if ( aSig ) return propagateFloat64NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig |= LIT64( 0x4000000000000000 ); - } - shift64RightJamming( bSig, expDiff, &bSig ); - aSig |= LIT64( 0x4000000000000000 ); - aBigger: - zSig = aSig - bSig; - zExp = aExp; - normalizeRoundAndPack: - --zExp; - return normalizeRoundAndPackFloat64( zSign, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the double-precision floating-point values `a' -| and `b'. The operation is performed according to the IEC/IEEE Standard for -| Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_add( float64 a, float64 b ) -{ - flag aSign, bSign; - - aSign = extractFloat64Sign( a ); - bSign = extractFloat64Sign( b ); - if ( aSign == bSign ) { - return addFloat64Sigs( a, b, aSign ); - } - else { - return subFloat64Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the double-precision floating-point values -| `a' and `b'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_sub( float64 a, float64 b ) -{ - flag aSign, bSign; - - aSign = extractFloat64Sign( a ); - bSign = extractFloat64Sign( b ); - if ( aSign == bSign ) { - return subFloat64Sigs( a, b, aSign ); - } - else { - return addFloat64Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of multiplying the double-precision floating-point values -| `a' and `b'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_mul( float64 a, float64 b ) -{ - flag aSign, bSign, zSign; - int16 aExp, bExp, zExp; - bits64 aSig, bSig, zSig0, zSig1; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - bSig = extractFloat64Frac( b ); - bExp = extractFloat64Exp( b ); - bSign = extractFloat64Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FF ) { - if ( aSig || ( ( bExp == 0x7FF ) && bSig ) ) { - return propagateFloat64NaN( a, b ); - } - if ( ( bExp | bSig ) == 0 ) { - float_raise( float_flag_invalid ); - return float64_default_nan; - } - return packFloat64( zSign, 0x7FF, 0 ); - } - if ( bExp == 0x7FF ) { - if ( bSig ) return propagateFloat64NaN( a, b ); - if ( ( aExp | aSig ) == 0 ) { - float_raise( float_flag_invalid ); - return float64_default_nan; - } - return packFloat64( zSign, 0x7FF, 0 ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloat64( zSign, 0, 0 ); - normalizeFloat64Subnormal( aSig, &aExp, &aSig ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) return packFloat64( zSign, 0, 0 ); - normalizeFloat64Subnormal( bSig, &bExp, &bSig ); - } - zExp = aExp + bExp - 0x3FF; - aSig = ( aSig | LIT64( 0x0010000000000000 ) )<<10; - bSig = ( bSig | LIT64( 0x0010000000000000 ) )<<11; - mul64To128( aSig, bSig, &zSig0, &zSig1 ); - zSig0 |= ( zSig1 != 0 ); - if ( 0 <= (sbits64) ( zSig0<<1 ) ) { - zSig0 <<= 1; - --zExp; - } - return roundAndPackFloat64( zSign, zExp, zSig0 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of dividing the double-precision floating-point value `a' -| by the corresponding value `b'. The operation is performed according to -| the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_div( float64 a, float64 b ) -{ - flag aSign, bSign, zSign; - int16 aExp, bExp, zExp; - bits64 aSig, bSig, zSig; - bits64 rem0, rem1; - bits64 term0, term1; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - bSig = extractFloat64Frac( b ); - bExp = extractFloat64Exp( b ); - bSign = extractFloat64Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FF ) { - if ( aSig ) return propagateFloat64NaN( a, b ); - if ( bExp == 0x7FF ) { - if ( bSig ) return propagateFloat64NaN( a, b ); - float_raise( float_flag_invalid ); - return float64_default_nan; - } - return packFloat64( zSign, 0x7FF, 0 ); - } - if ( bExp == 0x7FF ) { - if ( bSig ) return propagateFloat64NaN( a, b ); - return packFloat64( zSign, 0, 0 ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - if ( ( aExp | aSig ) == 0 ) { - float_raise( float_flag_invalid ); - return float64_default_nan; - } - float_raise( float_flag_divbyzero ); - return packFloat64( zSign, 0x7FF, 0 ); - } - normalizeFloat64Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloat64( zSign, 0, 0 ); - normalizeFloat64Subnormal( aSig, &aExp, &aSig ); - } - zExp = aExp - bExp + 0x3FD; - aSig = ( aSig | LIT64( 0x0010000000000000 ) )<<10; - bSig = ( bSig | LIT64( 0x0010000000000000 ) )<<11; - if ( bSig <= ( aSig + aSig ) ) { - aSig >>= 1; - ++zExp; - } - zSig = estimateDiv128To64( aSig, 0, bSig ); - if ( ( zSig & 0x1FF ) <= 2 ) { - mul64To128( bSig, zSig, &term0, &term1 ); - sub128( aSig, 0, term0, term1, &rem0, &rem1 ); - while ( (sbits64) rem0 < 0 ) { - --zSig; - add128( rem0, rem1, 0, bSig, &rem0, &rem1 ); - } - zSig |= ( rem1 != 0 ); - } - return roundAndPackFloat64( zSign, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the remainder of the double-precision floating-point value `a' -| with respect to the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_rem( float64 a, float64 b ) -{ - flag aSign, bSign, zSign; - int16 aExp, bExp, expDiff; - bits64 aSig, bSig; - bits64 q, alternateASig; - sbits64 sigMean; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - bSig = extractFloat64Frac( b ); - bExp = extractFloat64Exp( b ); - bSign = extractFloat64Sign( b ); - if ( aExp == 0x7FF ) { - if ( aSig || ( ( bExp == 0x7FF ) && bSig ) ) { - return propagateFloat64NaN( a, b ); - } - float_raise( float_flag_invalid ); - return float64_default_nan; - } - if ( bExp == 0x7FF ) { - if ( bSig ) return propagateFloat64NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - float_raise( float_flag_invalid ); - return float64_default_nan; - } - normalizeFloat64Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return a; - normalizeFloat64Subnormal( aSig, &aExp, &aSig ); - } - expDiff = aExp - bExp; - aSig = ( aSig | LIT64( 0x0010000000000000 ) )<<11; - bSig = ( bSig | LIT64( 0x0010000000000000 ) )<<11; - if ( expDiff < 0 ) { - if ( expDiff < -1 ) return a; - aSig >>= 1; - } - q = ( bSig <= aSig ); - if ( q ) aSig -= bSig; - expDiff -= 64; - while ( 0 < expDiff ) { - q = estimateDiv128To64( aSig, 0, bSig ); - q = ( 2 < q ) ? q - 2 : 0; - aSig = - ( ( bSig>>2 ) * q ); - expDiff -= 62; - } - expDiff += 64; - if ( 0 < expDiff ) { - q = estimateDiv128To64( aSig, 0, bSig ); - q = ( 2 < q ) ? q - 2 : 0; - q >>= 64 - expDiff; - bSig >>= 2; - aSig = ( ( aSig>>1 )<<( expDiff - 1 ) ) - bSig * q; - } - else { - aSig >>= 2; - bSig >>= 2; - } - do { - alternateASig = aSig; - ++q; - aSig -= bSig; - } while ( 0 <= (sbits64) aSig ); - sigMean = aSig + alternateASig; - if ( ( sigMean < 0 ) || ( ( sigMean == 0 ) && ( q & 1 ) ) ) { - aSig = alternateASig; - } - zSign = ( (sbits64) aSig < 0 ); - if ( zSign ) aSig = - aSig; - return normalizeRoundAndPackFloat64( aSign ^ zSign, bExp, aSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the square root of the double-precision floating-point value `a'. -| The operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_sqrt( float64 a ) -{ - flag aSign; - int16 aExp, zExp; - bits64 aSig, zSig, doubleZSig; - bits64 rem0, rem1, term0, term1; - float64 z; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( aExp == 0x7FF ) { - if ( aSig ) return propagateFloat64NaN( a, a ); - if ( ! aSign ) return a; - float_raise( float_flag_invalid ); - return float64_default_nan; - } - if ( aSign ) { - if ( ( aExp | aSig ) == 0 ) return a; - float_raise( float_flag_invalid ); - return float64_default_nan; - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return 0; - normalizeFloat64Subnormal( aSig, &aExp, &aSig ); - } - zExp = ( ( aExp - 0x3FF )>>1 ) + 0x3FE; - aSig |= LIT64( 0x0010000000000000 ); - zSig = estimateSqrt32( aExp, aSig>>21 ); - aSig <<= 9 - ( aExp & 1 ); - zSig = estimateDiv128To64( aSig, 0, zSig<<32 ) + ( zSig<<30 ); - if ( ( zSig & 0x1FF ) <= 5 ) { - doubleZSig = zSig<<1; - mul64To128( zSig, zSig, &term0, &term1 ); - sub128( aSig, 0, term0, term1, &rem0, &rem1 ); - while ( (sbits64) rem0 < 0 ) { - --zSig; - doubleZSig -= 2; - add128( rem0, rem1, zSig>>63, doubleZSig | 1, &rem0, &rem1 ); - } - zSig |= ( ( rem0 | rem1 ) != 0 ); - } - return roundAndPackFloat64( 0, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the double-precision floating-point value `a' is equal to the -| corresponding value `b', and 0 otherwise. The comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float64_eq( float64 a, float64 b ) -{ - - if ( ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) ) - || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) ) - ) { - if ( float64_is_signaling_nan( a ) || float64_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - return ( a == b ) || ( (bits64) ( ( a | b )<<1 ) == 0 ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the double-precision floating-point value `a' is less than or -| equal to the corresponding value `b', and 0 otherwise. The comparison is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float64_le( float64 a, float64 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) ) - || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloat64Sign( a ); - bSign = extractFloat64Sign( b ); - if ( aSign != bSign ) return aSign || ( (bits64) ( ( a | b )<<1 ) == 0 ); - return ( a == b ) || ( aSign ^ ( a < b ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the double-precision floating-point value `a' is less than -| the corresponding value `b', and 0 otherwise. The comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float64_lt( float64 a, float64 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) ) - || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloat64Sign( a ); - bSign = extractFloat64Sign( b ); - if ( aSign != bSign ) return aSign && ( (bits64) ( ( a | b )<<1 ) != 0 ); - return ( a != b ) && ( aSign ^ ( a < b ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the double-precision floating-point value `a' is equal to the -| corresponding value `b', and 0 otherwise. The invalid exception is raised -| if either operand is a NaN. Otherwise, the comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float64_eq_signaling( float64 a, float64 b ) -{ - - if ( ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) ) - || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - return ( a == b ) || ( (bits64) ( ( a | b )<<1 ) == 0 ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the double-precision floating-point value `a' is less than or -| equal to the corresponding value `b', and 0 otherwise. Quiet NaNs do not -| cause an exception. Otherwise, the comparison is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float64_le_quiet( float64 a, float64 b ) -{ - flag aSign, bSign; - int16 aExp, bExp; - - if ( ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) ) - || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) ) - ) { - if ( float64_is_signaling_nan( a ) || float64_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloat64Sign( a ); - bSign = extractFloat64Sign( b ); - if ( aSign != bSign ) return aSign || ( (bits64) ( ( a | b )<<1 ) == 0 ); - return ( a == b ) || ( aSign ^ ( a < b ) ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the double-precision floating-point value `a' is less than -| the corresponding value `b', and 0 otherwise. Quiet NaNs do not cause an -| exception. Otherwise, the comparison is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float64_lt_quiet( float64 a, float64 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) ) - || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) ) - ) { - if ( float64_is_signaling_nan( a ) || float64_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloat64Sign( a ); - bSign = extractFloat64Sign( b ); - if ( aSign != bSign ) return aSign && ( (bits64) ( ( a | b )<<1 ) != 0 ); - return ( a != b ) && ( aSign ^ ( a < b ) ); - -} - -#ifdef FLOATX80 - -/*---------------------------------------------------------------------------- -| Returns the result of converting the extended double-precision floating- -| point value `a' to the 32-bit two's complement integer format. The -| conversion is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic---which means in particular that the conversion -| is rounded according to the current rounding mode. If `a' is a NaN, the -| largest positive integer is returned. Otherwise, if the conversion -| overflows, the largest integer with the same sign as `a' is returned. -*----------------------------------------------------------------------------*/ - -int32 floatx80_to_int32( floatx80 a ) -{ - flag aSign; - int32 aExp, shiftCount; - bits64 aSig; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - if ( ( aExp == 0x7FFF ) && (bits64) ( aSig<<1 ) ) aSign = 0; - shiftCount = 0x4037 - aExp; - if ( shiftCount <= 0 ) shiftCount = 1; - shift64RightJamming( aSig, shiftCount, &aSig ); - return roundAndPackInt32( aSign, aSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the extended double-precision floating- -| point value `a' to the 32-bit two's complement integer format. The -| conversion is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic, except that the conversion is always rounded -| toward zero. If `a' is a NaN, the largest positive integer is returned. -| Otherwise, if the conversion overflows, the largest integer with the same -| sign as `a' is returned. -*----------------------------------------------------------------------------*/ - -int32 floatx80_to_int32_round_to_zero( floatx80 a ) -{ - flag aSign; - int32 aExp, shiftCount; - bits64 aSig, savedASig; - int32 z; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - if ( 0x401E < aExp ) { - if ( ( aExp == 0x7FFF ) && (bits64) ( aSig<<1 ) ) aSign = 0; - goto invalid; - } - else if ( aExp < 0x3FFF ) { - if ( aExp || aSig ) float_exception_flags |= float_flag_inexact; - return 0; - } - shiftCount = 0x403E - aExp; - savedASig = aSig; - aSig >>= shiftCount; - z = aSig; - if ( aSign ) z = - z; - if ( ( z < 0 ) ^ aSign ) { - invalid: - float_raise( float_flag_invalid ); - return aSign ? (sbits32) 0x80000000 : 0x7FFFFFFF; - } - if ( ( aSig<>( - shiftCount ); - if ( (bits64) ( aSig<<( shiftCount & 63 ) ) ) { - float_exception_flags |= float_flag_inexact; - } - if ( aSign ) z = - z; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the extended double-precision floating- -| point value `a' to the single-precision floating-point format. The -| conversion is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 floatx80_to_float32( floatx80 a ) -{ - flag aSign; - int32 aExp; - bits64 aSig; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) ) { - return commonNaNToFloat32( floatx80ToCommonNaN( a ) ); - } - return packFloat32( aSign, 0xFF, 0 ); - } - shift64RightJamming( aSig, 33, &aSig ); - if ( aExp || aSig ) aExp -= 0x3F81; - return roundAndPackFloat32( aSign, aExp, aSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the extended double-precision floating- -| point value `a' to the double-precision floating-point format. The -| conversion is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 floatx80_to_float64( floatx80 a ) -{ - flag aSign; - int32 aExp; - bits64 aSig, zSig; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) ) { - return commonNaNToFloat64( floatx80ToCommonNaN( a ) ); - } - return packFloat64( aSign, 0x7FF, 0 ); - } - shift64RightJamming( aSig, 1, &zSig ); - if ( aExp || aSig ) aExp -= 0x3C01; - return roundAndPackFloat64( aSign, aExp, zSig ); - -} - -#ifdef FLOAT128 - -/*---------------------------------------------------------------------------- -| Returns the result of converting the extended double-precision floating- -| point value `a' to the quadruple-precision floating-point format. The -| conversion is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 floatx80_to_float128( floatx80 a ) -{ - flag aSign; - int16 aExp; - bits64 aSig, zSig0, zSig1; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - if ( ( aExp == 0x7FFF ) && (bits64) ( aSig<<1 ) ) { - return commonNaNToFloat128( floatx80ToCommonNaN( a ) ); - } - shift128Right( aSig<<1, 0, 16, &zSig0, &zSig1 ); - return packFloat128( aSign, aExp, zSig0, zSig1 ); - -} - -#endif - -/*---------------------------------------------------------------------------- -| Rounds the extended double-precision floating-point value `a' to an integer, -| and returns the result as an extended quadruple-precision floating-point -| value. The operation is performed according to the IEC/IEEE Standard for -| Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_round_to_int( floatx80 a ) -{ - flag aSign; - int32 aExp; - bits64 lastBitMask, roundBitsMask; - int8 roundingMode; - floatx80 z; - - aExp = extractFloatx80Exp( a ); - if ( 0x403E <= aExp ) { - if ( ( aExp == 0x7FFF ) && (bits64) ( extractFloatx80Frac( a )<<1 ) ) { - return propagateFloatx80NaN( a, a ); - } - return a; - } - if ( aExp < 0x3FFF ) { - if ( ( aExp == 0 ) - && ( (bits64) ( extractFloatx80Frac( a )<<1 ) == 0 ) ) { - return a; - } - float_exception_flags |= float_flag_inexact; - aSign = extractFloatx80Sign( a ); - switch ( float_rounding_mode ) { - case float_round_nearest_even: - if ( ( aExp == 0x3FFE ) && (bits64) ( extractFloatx80Frac( a )<<1 ) - ) { - return - packFloatx80( aSign, 0x3FFF, LIT64( 0x8000000000000000 ) ); - } - break; - case float_round_down: - return - aSign ? - packFloatx80( 1, 0x3FFF, LIT64( 0x8000000000000000 ) ) - : packFloatx80( 0, 0, 0 ); - case float_round_up: - return - aSign ? packFloatx80( 1, 0, 0 ) - : packFloatx80( 0, 0x3FFF, LIT64( 0x8000000000000000 ) ); - } - return packFloatx80( aSign, 0, 0 ); - } - lastBitMask = 1; - lastBitMask <<= 0x403E - aExp; - roundBitsMask = lastBitMask - 1; - z = a; - roundingMode = float_rounding_mode; - if ( roundingMode == float_round_nearest_even ) { - z.low += lastBitMask>>1; - if ( ( z.low & roundBitsMask ) == 0 ) z.low &= ~ lastBitMask; - } - else if ( roundingMode != float_round_to_zero ) { - if ( extractFloatx80Sign( z ) ^ ( roundingMode == float_round_up ) ) { - z.low += roundBitsMask; - } - } - z.low &= ~ roundBitsMask; - if ( z.low == 0 ) { - ++z.high; - z.low = LIT64( 0x8000000000000000 ); - } - if ( z.low != a.low ) float_exception_flags |= float_flag_inexact; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the absolute values of the extended double- -| precision floating-point values `a' and `b'. If `zSign' is 1, the sum is -| negated before being returned. `zSign' is ignored if the result is a NaN. -| The addition is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static floatx80 addFloatx80Sigs( floatx80 a, floatx80 b, flag zSign ) -{ - int32 aExp, bExp, zExp; - bits64 aSig, bSig, zSig0, zSig1; - int32 expDiff; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - bSig = extractFloatx80Frac( b ); - bExp = extractFloatx80Exp( b ); - expDiff = aExp - bExp; - if ( 0 < expDiff ) { - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return a; - } - if ( bExp == 0 ) --expDiff; - shift64ExtraRightJamming( bSig, 0, expDiff, &bSig, &zSig1 ); - zExp = aExp; - } - else if ( expDiff < 0 ) { - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( aExp == 0 ) ++expDiff; - shift64ExtraRightJamming( aSig, 0, - expDiff, &aSig, &zSig1 ); - zExp = bExp; - } - else { - if ( aExp == 0x7FFF ) { - if ( (bits64) ( ( aSig | bSig )<<1 ) ) { - return propagateFloatx80NaN( a, b ); - } - return a; - } - zSig1 = 0; - zSig0 = aSig + bSig; - if ( aExp == 0 ) { - normalizeFloatx80Subnormal( zSig0, &zExp, &zSig0 ); - goto roundAndPack; - } - zExp = aExp; - goto shiftRight1; - } - zSig0 = aSig + bSig; - if ( (sbits64) zSig0 < 0 ) goto roundAndPack; - shiftRight1: - shift64ExtraRightJamming( zSig0, zSig1, 1, &zSig0, &zSig1 ); - zSig0 |= LIT64( 0x8000000000000000 ); - ++zExp; - roundAndPack: - return - roundAndPackFloatx80( - floatx80_rounding_precision, zSign, zExp, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the absolute values of the extended -| double-precision floating-point values `a' and `b'. If `zSign' is 1, the -| difference is negated before being returned. `zSign' is ignored if the -| result is a NaN. The subtraction is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static floatx80 subFloatx80Sigs( floatx80 a, floatx80 b, flag zSign ) -{ - int32 aExp, bExp, zExp; - bits64 aSig, bSig, zSig0, zSig1; - int32 expDiff; - floatx80 z; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - bSig = extractFloatx80Frac( b ); - bExp = extractFloatx80Exp( b ); - expDiff = aExp - bExp; - if ( 0 < expDiff ) goto aExpBigger; - if ( expDiff < 0 ) goto bExpBigger; - if ( aExp == 0x7FFF ) { - if ( (bits64) ( ( aSig | bSig )<<1 ) ) { - return propagateFloatx80NaN( a, b ); - } - float_raise( float_flag_invalid ); - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - return z; - } - if ( aExp == 0 ) { - aExp = 1; - bExp = 1; - } - zSig1 = 0; - if ( bSig < aSig ) goto aBigger; - if ( aSig < bSig ) goto bBigger; - return packFloatx80( float_rounding_mode == float_round_down, 0, 0 ); - bExpBigger: - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return packFloatx80( zSign ^ 1, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( aExp == 0 ) ++expDiff; - shift128RightJamming( aSig, 0, - expDiff, &aSig, &zSig1 ); - bBigger: - sub128( bSig, 0, aSig, zSig1, &zSig0, &zSig1 ); - zExp = bExp; - zSign ^= 1; - goto normalizeRoundAndPack; - aExpBigger: - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return a; - } - if ( bExp == 0 ) --expDiff; - shift128RightJamming( bSig, 0, expDiff, &bSig, &zSig1 ); - aBigger: - sub128( aSig, 0, bSig, zSig1, &zSig0, &zSig1 ); - zExp = aExp; - normalizeRoundAndPack: - return - normalizeRoundAndPackFloatx80( - floatx80_rounding_precision, zSign, zExp, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the extended double-precision floating-point -| values `a' and `b'. The operation is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_add( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign == bSign ) { - return addFloatx80Sigs( a, b, aSign ); - } - else { - return subFloatx80Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the extended double-precision floating- -| point values `a' and `b'. The operation is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_sub( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign == bSign ) { - return subFloatx80Sigs( a, b, aSign ); - } - else { - return addFloatx80Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of multiplying the extended double-precision floating- -| point values `a' and `b'. The operation is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_mul( floatx80 a, floatx80 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, zExp; - bits64 aSig, bSig, zSig0, zSig1; - floatx80 z; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - bSig = extractFloatx80Frac( b ); - bExp = extractFloatx80Exp( b ); - bSign = extractFloatx80Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) - || ( ( bExp == 0x7FFF ) && (bits64) ( bSig<<1 ) ) ) { - return propagateFloatx80NaN( a, b ); - } - if ( ( bExp | bSig ) == 0 ) goto invalid; - return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - if ( ( aExp | aSig ) == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - return z; - } - return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloatx80( zSign, 0, 0 ); - normalizeFloatx80Subnormal( aSig, &aExp, &aSig ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) return packFloatx80( zSign, 0, 0 ); - normalizeFloatx80Subnormal( bSig, &bExp, &bSig ); - } - zExp = aExp + bExp - 0x3FFE; - mul64To128( aSig, bSig, &zSig0, &zSig1 ); - if ( 0 < (sbits64) zSig0 ) { - shortShift128Left( zSig0, zSig1, 1, &zSig0, &zSig1 ); - --zExp; - } - return - roundAndPackFloatx80( - floatx80_rounding_precision, zSign, zExp, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of dividing the extended double-precision floating-point -| value `a' by the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_div( floatx80 a, floatx80 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, zExp; - bits64 aSig, bSig, zSig0, zSig1; - bits64 rem0, rem1, rem2, term0, term1, term2; - floatx80 z; - - aSig = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - bSig = extractFloatx80Frac( b ); - bExp = extractFloatx80Exp( b ); - bSign = extractFloatx80Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig<<1 ) ) return propagateFloatx80NaN( a, b ); - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - goto invalid; - } - return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return packFloatx80( zSign, 0, 0 ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - if ( ( aExp | aSig ) == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - return z; - } - float_raise( float_flag_divbyzero ); - return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - normalizeFloatx80Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloatx80( zSign, 0, 0 ); - normalizeFloatx80Subnormal( aSig, &aExp, &aSig ); - } - zExp = aExp - bExp + 0x3FFE; - rem1 = 0; - if ( bSig <= aSig ) { - shift128Right( aSig, 0, 1, &aSig, &rem1 ); - ++zExp; - } - zSig0 = estimateDiv128To64( aSig, rem1, bSig ); - mul64To128( bSig, zSig0, &term0, &term1 ); - sub128( aSig, rem1, term0, term1, &rem0, &rem1 ); - while ( (sbits64) rem0 < 0 ) { - --zSig0; - add128( rem0, rem1, 0, bSig, &rem0, &rem1 ); - } - zSig1 = estimateDiv128To64( rem1, 0, bSig ); - if ( (bits64) ( zSig1<<1 ) <= 8 ) { - mul64To128( bSig, zSig1, &term1, &term2 ); - sub128( rem1, 0, term1, term2, &rem1, &rem2 ); - while ( (sbits64) rem1 < 0 ) { - --zSig1; - add128( rem1, rem2, 0, bSig, &rem1, &rem2 ); - } - zSig1 |= ( ( rem1 | rem2 ) != 0 ); - } - return - roundAndPackFloatx80( - floatx80_rounding_precision, zSign, zExp, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the remainder of the extended double-precision floating-point value -| `a' with respect to the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_rem( floatx80 a, floatx80 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, expDiff; - bits64 aSig0, aSig1, bSig; - bits64 q, term0, term1, alternateASig0, alternateASig1; - floatx80 z; - - aSig0 = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - bSig = extractFloatx80Frac( b ); - bExp = extractFloatx80Exp( b ); - bSign = extractFloatx80Sign( b ); - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig0<<1 ) - || ( ( bExp == 0x7FFF ) && (bits64) ( bSig<<1 ) ) ) { - return propagateFloatx80NaN( a, b ); - } - goto invalid; - } - if ( bExp == 0x7FFF ) { - if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - return z; - } - normalizeFloatx80Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( (bits64) ( aSig0<<1 ) == 0 ) return a; - normalizeFloatx80Subnormal( aSig0, &aExp, &aSig0 ); - } - bSig |= LIT64( 0x8000000000000000 ); - zSign = aSign; - expDiff = aExp - bExp; - aSig1 = 0; - if ( expDiff < 0 ) { - if ( expDiff < -1 ) return a; - shift128Right( aSig0, 0, 1, &aSig0, &aSig1 ); - expDiff = 0; - } - q = ( bSig <= aSig0 ); - if ( q ) aSig0 -= bSig; - expDiff -= 64; - while ( 0 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig ); - q = ( 2 < q ) ? q - 2 : 0; - mul64To128( bSig, q, &term0, &term1 ); - sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 ); - shortShift128Left( aSig0, aSig1, 62, &aSig0, &aSig1 ); - expDiff -= 62; - } - expDiff += 64; - if ( 0 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig ); - q = ( 2 < q ) ? q - 2 : 0; - q >>= 64 - expDiff; - mul64To128( bSig, q<<( 64 - expDiff ), &term0, &term1 ); - sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 ); - shortShift128Left( 0, bSig, 64 - expDiff, &term0, &term1 ); - while ( le128( term0, term1, aSig0, aSig1 ) ) { - ++q; - sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 ); - } - } - else { - term1 = 0; - term0 = bSig; - } - sub128( term0, term1, aSig0, aSig1, &alternateASig0, &alternateASig1 ); - if ( lt128( alternateASig0, alternateASig1, aSig0, aSig1 ) - || ( eq128( alternateASig0, alternateASig1, aSig0, aSig1 ) - && ( q & 1 ) ) - ) { - aSig0 = alternateASig0; - aSig1 = alternateASig1; - zSign = ! zSign; - } - return - normalizeRoundAndPackFloatx80( - 80, zSign, bExp + expDiff, aSig0, aSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the square root of the extended double-precision floating-point -| value `a'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_sqrt( floatx80 a ) -{ - flag aSign; - int32 aExp, zExp; - bits64 aSig0, aSig1, zSig0, zSig1, doubleZSig0; - bits64 rem0, rem1, rem2, rem3, term0, term1, term2, term3; - floatx80 z; - - aSig0 = extractFloatx80Frac( a ); - aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - if ( aExp == 0x7FFF ) { - if ( (bits64) ( aSig0<<1 ) ) return propagateFloatx80NaN( a, a ); - if ( ! aSign ) return a; - goto invalid; - } - if ( aSign ) { - if ( ( aExp | aSig0 ) == 0 ) return a; - invalid: - float_raise( float_flag_invalid ); - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - return z; - } - if ( aExp == 0 ) { - if ( aSig0 == 0 ) return packFloatx80( 0, 0, 0 ); - normalizeFloatx80Subnormal( aSig0, &aExp, &aSig0 ); - } - zExp = ( ( aExp - 0x3FFF )>>1 ) + 0x3FFF; - zSig0 = estimateSqrt32( aExp, aSig0>>32 ); - shift128Right( aSig0, 0, 2 + ( aExp & 1 ), &aSig0, &aSig1 ); - zSig0 = estimateDiv128To64( aSig0, aSig1, zSig0<<32 ) + ( zSig0<<30 ); - doubleZSig0 = zSig0<<1; - mul64To128( zSig0, zSig0, &term0, &term1 ); - sub128( aSig0, aSig1, term0, term1, &rem0, &rem1 ); - while ( (sbits64) rem0 < 0 ) { - --zSig0; - doubleZSig0 -= 2; - add128( rem0, rem1, zSig0>>63, doubleZSig0 | 1, &rem0, &rem1 ); - } - zSig1 = estimateDiv128To64( rem1, 0, doubleZSig0 ); - if ( ( zSig1 & LIT64( 0x3FFFFFFFFFFFFFFF ) ) <= 5 ) { - if ( zSig1 == 0 ) zSig1 = 1; - mul64To128( doubleZSig0, zSig1, &term1, &term2 ); - sub128( rem1, 0, term1, term2, &rem1, &rem2 ); - mul64To128( zSig1, zSig1, &term2, &term3 ); - sub192( rem1, rem2, 0, 0, term2, term3, &rem1, &rem2, &rem3 ); - while ( (sbits64) rem1 < 0 ) { - --zSig1; - shortShift128Left( 0, zSig1, 1, &term2, &term3 ); - term3 |= 1; - term2 |= doubleZSig0; - add192( rem1, rem2, rem3, 0, term2, term3, &rem1, &rem2, &rem3 ); - } - zSig1 |= ( ( rem1 | rem2 | rem3 ) != 0 ); - } - shortShift128Left( 0, zSig1, 1, &zSig0, &zSig1 ); - zSig0 |= doubleZSig0; - return - roundAndPackFloatx80( - floatx80_rounding_precision, 0, zExp, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is -| equal to the corresponding value `b', and 0 otherwise. The comparison is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_eq( floatx80 a, floatx80 b ) -{ - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - if ( floatx80_is_signaling_nan( a ) - || floatx80_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - return - ( a.low == b.low ) - && ( ( a.high == b.high ) - || ( ( a.low == 0 ) - && ( (bits16) ( ( a.high | b.high )<<1 ) == 0 ) ) - ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is -| less than or equal to the corresponding value `b', and 0 otherwise. The -| comparison is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_le( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign != bSign ) { - return - aSign - || ( ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - == 0 ); - } - return - aSign ? le128( b.high, b.low, a.high, a.low ) - : le128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is -| less than the corresponding value `b', and 0 otherwise. The comparison -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_lt( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign != bSign ) { - return - aSign - && ( ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - != 0 ); - } - return - aSign ? lt128( b.high, b.low, a.high, a.low ) - : lt128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is equal -| to the corresponding value `b', and 0 otherwise. The invalid exception is -| raised if either operand is a NaN. Otherwise, the comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_eq_signaling( floatx80 a, floatx80 b ) -{ - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - return - ( a.low == b.low ) - && ( ( a.high == b.high ) - || ( ( a.low == 0 ) - && ( (bits16) ( ( a.high | b.high )<<1 ) == 0 ) ) - ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is less -| than or equal to the corresponding value `b', and 0 otherwise. Quiet NaNs -| do not cause an exception. Otherwise, the comparison is performed according -| to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_le_quiet( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - if ( floatx80_is_signaling_nan( a ) - || floatx80_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign != bSign ) { - return - aSign - || ( ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - == 0 ); - } - return - aSign ? le128( b.high, b.low, a.high, a.low ) - : le128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is less -| than the corresponding value `b', and 0 otherwise. Quiet NaNs do not cause -| an exception. Otherwise, the comparison is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag floatx80_lt_quiet( floatx80 a, floatx80 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloatx80Exp( a ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( a )<<1 ) ) - || ( ( extractFloatx80Exp( b ) == 0x7FFF ) - && (bits64) ( extractFloatx80Frac( b )<<1 ) ) - ) { - if ( floatx80_is_signaling_nan( a ) - || floatx80_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloatx80Sign( a ); - bSign = extractFloatx80Sign( b ); - if ( aSign != bSign ) { - return - aSign - && ( ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - != 0 ); - } - return - aSign ? lt128( b.high, b.low, a.high, a.low ) - : lt128( a.high, a.low, b.high, b.low ); - -} - -#endif - -#ifdef FLOAT128 - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point -| value `a' to the 32-bit two's complement integer format. The conversion -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic---which means in particular that the conversion is rounded -| according to the current rounding mode. If `a' is a NaN, the largest -| positive integer is returned. Otherwise, if the conversion overflows, the -| largest integer with the same sign as `a' is returned. -*----------------------------------------------------------------------------*/ - -int32 float128_to_int32( float128 a ) -{ - flag aSign; - int32 aExp, shiftCount; - bits64 aSig0, aSig1; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - if ( ( aExp == 0x7FFF ) && ( aSig0 | aSig1 ) ) aSign = 0; - if ( aExp ) aSig0 |= LIT64( 0x0001000000000000 ); - aSig0 |= ( aSig1 != 0 ); - shiftCount = 0x4028 - aExp; - if ( 0 < shiftCount ) shift64RightJamming( aSig0, shiftCount, &aSig0 ); - return roundAndPackInt32( aSign, aSig0 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point -| value `a' to the 32-bit two's complement integer format. The conversion -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic, except that the conversion is always rounded toward zero. If -| `a' is a NaN, the largest positive integer is returned. Otherwise, if the -| conversion overflows, the largest integer with the same sign as `a' is -| returned. -*----------------------------------------------------------------------------*/ - -int32 float128_to_int32_round_to_zero( float128 a ) -{ - flag aSign; - int32 aExp, shiftCount; - bits64 aSig0, aSig1, savedASig; - int32 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - aSig0 |= ( aSig1 != 0 ); - if ( 0x401E < aExp ) { - if ( ( aExp == 0x7FFF ) && aSig0 ) aSign = 0; - goto invalid; - } - else if ( aExp < 0x3FFF ) { - if ( aExp || aSig0 ) float_exception_flags |= float_flag_inexact; - return 0; - } - aSig0 |= LIT64( 0x0001000000000000 ); - shiftCount = 0x402F - aExp; - savedASig = aSig0; - aSig0 >>= shiftCount; - z = aSig0; - if ( aSign ) z = - z; - if ( ( z < 0 ) ^ aSign ) { - invalid: - float_raise( float_flag_invalid ); - return aSign ? (sbits32) 0x80000000 : 0x7FFFFFFF; - } - if ( ( aSig0<>( ( - shiftCount ) & 63 ) ); - if ( (bits64) ( aSig1<>( - shiftCount ); - if ( aSig1 - || ( shiftCount && (bits64) ( aSig0<<( shiftCount & 63 ) ) ) ) { - float_exception_flags |= float_flag_inexact; - } - } - if ( aSign ) z = - z; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point -| value `a' to the single-precision floating-point format. The conversion -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float128_to_float32( float128 a ) -{ - flag aSign; - int32 aExp; - bits64 aSig0, aSig1; - bits32 zSig; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) { - return commonNaNToFloat32( float128ToCommonNaN( a ) ); - } - return packFloat32( aSign, 0xFF, 0 ); - } - aSig0 |= ( aSig1 != 0 ); - shift64RightJamming( aSig0, 18, &aSig0 ); - zSig = aSig0; - if ( aExp || zSig ) { - zSig |= 0x40000000; - aExp -= 0x3F81; - } - return roundAndPackFloat32( aSign, aExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point -| value `a' to the double-precision floating-point format. The conversion -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float128_to_float64( float128 a ) -{ - flag aSign; - int32 aExp; - bits64 aSig0, aSig1; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) { - return commonNaNToFloat64( float128ToCommonNaN( a ) ); - } - return packFloat64( aSign, 0x7FF, 0 ); - } - shortShift128Left( aSig0, aSig1, 14, &aSig0, &aSig1 ); - aSig0 |= ( aSig1 != 0 ); - if ( aExp || aSig0 ) { - aSig0 |= LIT64( 0x4000000000000000 ); - aExp -= 0x3C01; - } - return roundAndPackFloat64( aSign, aExp, aSig0 ); - -} - -#ifdef FLOATX80 - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point -| value `a' to the extended double-precision floating-point format. The -| conversion is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 float128_to_floatx80( float128 a ) -{ - flag aSign; - int32 aExp; - bits64 aSig0, aSig1; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) { - return commonNaNToFloatx80( float128ToCommonNaN( a ) ); - } - return packFloatx80( aSign, 0x7FFF, LIT64( 0x8000000000000000 ) ); - } - if ( aExp == 0 ) { - if ( ( aSig0 | aSig1 ) == 0 ) return packFloatx80( aSign, 0, 0 ); - normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 ); - } - else { - aSig0 |= LIT64( 0x0001000000000000 ); - } - shortShift128Left( aSig0, aSig1, 15, &aSig0, &aSig1 ); - return roundAndPackFloatx80( 80, aSign, aExp, aSig0, aSig1 ); - -} - -#endif - -/*---------------------------------------------------------------------------- -| Rounds the quadruple-precision floating-point value `a' to an integer, and -| returns the result as a quadruple-precision floating-point value. The -| operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_round_to_int( float128 a ) -{ - flag aSign; - int32 aExp; - bits64 lastBitMask, roundBitsMask; - int8 roundingMode; - float128 z; - - aExp = extractFloat128Exp( a ); - if ( 0x402F <= aExp ) { - if ( 0x406F <= aExp ) { - if ( ( aExp == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) - ) { - return propagateFloat128NaN( a, a ); - } - return a; - } - lastBitMask = 1; - lastBitMask = ( lastBitMask<<( 0x406E - aExp ) )<<1; - roundBitsMask = lastBitMask - 1; - z = a; - roundingMode = float_rounding_mode; - if ( roundingMode == float_round_nearest_even ) { - if ( lastBitMask ) { - add128( z.high, z.low, 0, lastBitMask>>1, &z.high, &z.low ); - if ( ( z.low & roundBitsMask ) == 0 ) z.low &= ~ lastBitMask; - } - else { - if ( (sbits64) z.low < 0 ) { - ++z.high; - if ( (bits64) ( z.low<<1 ) == 0 ) z.high &= ~1; - } - } - } - else if ( roundingMode != float_round_to_zero ) { - if ( extractFloat128Sign( z ) - ^ ( roundingMode == float_round_up ) ) { - add128( z.high, z.low, 0, roundBitsMask, &z.high, &z.low ); - } - } - z.low &= ~ roundBitsMask; - } - else { - if ( aExp < 0x3FFF ) { - if ( ( ( (bits64) ( a.high<<1 ) ) | a.low ) == 0 ) return a; - float_exception_flags |= float_flag_inexact; - aSign = extractFloat128Sign( a ); - switch ( float_rounding_mode ) { - case float_round_nearest_even: - if ( ( aExp == 0x3FFE ) - && ( extractFloat128Frac0( a ) - | extractFloat128Frac1( a ) ) - ) { - return packFloat128( aSign, 0x3FFF, 0, 0 ); - } - break; - case float_round_down: - return - aSign ? packFloat128( 1, 0x3FFF, 0, 0 ) - : packFloat128( 0, 0, 0, 0 ); - case float_round_up: - return - aSign ? packFloat128( 1, 0, 0, 0 ) - : packFloat128( 0, 0x3FFF, 0, 0 ); - } - return packFloat128( aSign, 0, 0, 0 ); - } - lastBitMask = 1; - lastBitMask <<= 0x402F - aExp; - roundBitsMask = lastBitMask - 1; - z.low = 0; - z.high = a.high; - roundingMode = float_rounding_mode; - if ( roundingMode == float_round_nearest_even ) { - z.high += lastBitMask>>1; - if ( ( ( z.high & roundBitsMask ) | a.low ) == 0 ) { - z.high &= ~ lastBitMask; - } - } - else if ( roundingMode != float_round_to_zero ) { - if ( extractFloat128Sign( z ) - ^ ( roundingMode == float_round_up ) ) { - z.high |= ( a.low != 0 ); - z.high += roundBitsMask; - } - } - z.high &= ~ roundBitsMask; - } - if ( ( z.low != a.low ) || ( z.high != a.high ) ) { - float_exception_flags |= float_flag_inexact; - } - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the absolute values of the quadruple-precision -| floating-point values `a' and `b'. If `zSign' is 1, the sum is negated -| before being returned. `zSign' is ignored if the result is a NaN. -| The addition is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float128 addFloat128Sigs( float128 a, float128 b, flag zSign ) -{ - int32 aExp, bExp, zExp; - bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1, zSig2; - int32 expDiff; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - bSig1 = extractFloat128Frac1( b ); - bSig0 = extractFloat128Frac0( b ); - bExp = extractFloat128Exp( b ); - expDiff = aExp - bExp; - if ( 0 < expDiff ) { - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig0 |= LIT64( 0x0001000000000000 ); - } - shift128ExtraRightJamming( - bSig0, bSig1, 0, expDiff, &bSig0, &bSig1, &zSig2 ); - zExp = aExp; - } - else if ( expDiff < 0 ) { - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - return packFloat128( zSign, 0x7FFF, 0, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig0 |= LIT64( 0x0001000000000000 ); - } - shift128ExtraRightJamming( - aSig0, aSig1, 0, - expDiff, &aSig0, &aSig1, &zSig2 ); - zExp = bExp; - } - else { - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 | bSig0 | bSig1 ) { - return propagateFloat128NaN( a, b ); - } - return a; - } - add128( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1 ); - if ( aExp == 0 ) return packFloat128( zSign, 0, zSig0, zSig1 ); - zSig2 = 0; - zSig0 |= LIT64( 0x0002000000000000 ); - zExp = aExp; - goto shiftRight1; - } - aSig0 |= LIT64( 0x0001000000000000 ); - add128( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1 ); - --zExp; - if ( zSig0 < LIT64( 0x0002000000000000 ) ) goto roundAndPack; - ++zExp; - shiftRight1: - shift128ExtraRightJamming( - zSig0, zSig1, zSig2, 1, &zSig0, &zSig1, &zSig2 ); - roundAndPack: - return roundAndPackFloat128( zSign, zExp, zSig0, zSig1, zSig2 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the absolute values of the quadruple- -| precision floating-point values `a' and `b'. If `zSign' is 1, the -| difference is negated before being returned. `zSign' is ignored if the -| result is a NaN. The subtraction is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float128 subFloat128Sigs( float128 a, float128 b, flag zSign ) -{ - int32 aExp, bExp, zExp; - bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1; - int32 expDiff; - float128 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - bSig1 = extractFloat128Frac1( b ); - bSig0 = extractFloat128Frac0( b ); - bExp = extractFloat128Exp( b ); - expDiff = aExp - bExp; - shortShift128Left( aSig0, aSig1, 14, &aSig0, &aSig1 ); - shortShift128Left( bSig0, bSig1, 14, &bSig0, &bSig1 ); - if ( 0 < expDiff ) goto aExpBigger; - if ( expDiff < 0 ) goto bExpBigger; - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 | bSig0 | bSig1 ) { - return propagateFloat128NaN( a, b ); - } - float_raise( float_flag_invalid ); - z.low = float128_default_nan_low; - z.high = float128_default_nan_high; - return z; - } - if ( aExp == 0 ) { - aExp = 1; - bExp = 1; - } - if ( bSig0 < aSig0 ) goto aBigger; - if ( aSig0 < bSig0 ) goto bBigger; - if ( bSig1 < aSig1 ) goto aBigger; - if ( aSig1 < bSig1 ) goto bBigger; - return packFloat128( float_rounding_mode == float_round_down, 0, 0, 0 ); - bExpBigger: - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - return packFloat128( zSign ^ 1, 0x7FFF, 0, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig0 |= LIT64( 0x4000000000000000 ); - } - shift128RightJamming( aSig0, aSig1, - expDiff, &aSig0, &aSig1 ); - bSig0 |= LIT64( 0x4000000000000000 ); - bBigger: - sub128( bSig0, bSig1, aSig0, aSig1, &zSig0, &zSig1 ); - zExp = bExp; - zSign ^= 1; - goto normalizeRoundAndPack; - aExpBigger: - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig0 |= LIT64( 0x4000000000000000 ); - } - shift128RightJamming( bSig0, bSig1, expDiff, &bSig0, &bSig1 ); - aSig0 |= LIT64( 0x4000000000000000 ); - aBigger: - sub128( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1 ); - zExp = aExp; - normalizeRoundAndPack: - --zExp; - return normalizeRoundAndPackFloat128( zSign, zExp - 14, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the quadruple-precision floating-point values -| `a' and `b'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_add( float128 a, float128 b ) -{ - flag aSign, bSign; - - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign == bSign ) { - return addFloat128Sigs( a, b, aSign ); - } - else { - return subFloat128Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the quadruple-precision floating-point -| values `a' and `b'. The operation is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_sub( float128 a, float128 b ) -{ - flag aSign, bSign; - - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign == bSign ) { - return subFloat128Sigs( a, b, aSign ); - } - else { - return addFloat128Sigs( a, b, aSign ); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of multiplying the quadruple-precision floating-point -| values `a' and `b'. The operation is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_mul( float128 a, float128 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, zExp; - bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1, zSig2, zSig3; - float128 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - bSig1 = extractFloat128Frac1( b ); - bSig0 = extractFloat128Frac0( b ); - bExp = extractFloat128Exp( b ); - bSign = extractFloat128Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FFF ) { - if ( ( aSig0 | aSig1 ) - || ( ( bExp == 0x7FFF ) && ( bSig0 | bSig1 ) ) ) { - return propagateFloat128NaN( a, b ); - } - if ( ( bExp | bSig0 | bSig1 ) == 0 ) goto invalid; - return packFloat128( zSign, 0x7FFF, 0, 0 ); - } - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - if ( ( aExp | aSig0 | aSig1 ) == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = float128_default_nan_low; - z.high = float128_default_nan_high; - return z; - } - return packFloat128( zSign, 0x7FFF, 0, 0 ); - } - if ( aExp == 0 ) { - if ( ( aSig0 | aSig1 ) == 0 ) return packFloat128( zSign, 0, 0, 0 ); - normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 ); - } - if ( bExp == 0 ) { - if ( ( bSig0 | bSig1 ) == 0 ) return packFloat128( zSign, 0, 0, 0 ); - normalizeFloat128Subnormal( bSig0, bSig1, &bExp, &bSig0, &bSig1 ); - } - zExp = aExp + bExp - 0x4000; - aSig0 |= LIT64( 0x0001000000000000 ); - shortShift128Left( bSig0, bSig1, 16, &bSig0, &bSig1 ); - mul128To256( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1, &zSig2, &zSig3 ); - add128( zSig0, zSig1, aSig0, aSig1, &zSig0, &zSig1 ); - zSig2 |= ( zSig3 != 0 ); - if ( LIT64( 0x0002000000000000 ) <= zSig0 ) { - shift128ExtraRightJamming( - zSig0, zSig1, zSig2, 1, &zSig0, &zSig1, &zSig2 ); - ++zExp; - } - return roundAndPackFloat128( zSign, zExp, zSig0, zSig1, zSig2 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of dividing the quadruple-precision floating-point value -| `a' by the corresponding value `b'. The operation is performed according to -| the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_div( float128 a, float128 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, zExp; - bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1, zSig2; - bits64 rem0, rem1, rem2, rem3, term0, term1, term2, term3; - float128 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - bSig1 = extractFloat128Frac1( b ); - bSig0 = extractFloat128Frac0( b ); - bExp = extractFloat128Exp( b ); - bSign = extractFloat128Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, b ); - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - goto invalid; - } - return packFloat128( zSign, 0x7FFF, 0, 0 ); - } - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - return packFloat128( zSign, 0, 0, 0 ); - } - if ( bExp == 0 ) { - if ( ( bSig0 | bSig1 ) == 0 ) { - if ( ( aExp | aSig0 | aSig1 ) == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = float128_default_nan_low; - z.high = float128_default_nan_high; - return z; - } - float_raise( float_flag_divbyzero ); - return packFloat128( zSign, 0x7FFF, 0, 0 ); - } - normalizeFloat128Subnormal( bSig0, bSig1, &bExp, &bSig0, &bSig1 ); - } - if ( aExp == 0 ) { - if ( ( aSig0 | aSig1 ) == 0 ) return packFloat128( zSign, 0, 0, 0 ); - normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 ); - } - zExp = aExp - bExp + 0x3FFD; - shortShift128Left( - aSig0 | LIT64( 0x0001000000000000 ), aSig1, 15, &aSig0, &aSig1 ); - shortShift128Left( - bSig0 | LIT64( 0x0001000000000000 ), bSig1, 15, &bSig0, &bSig1 ); - if ( le128( bSig0, bSig1, aSig0, aSig1 ) ) { - shift128Right( aSig0, aSig1, 1, &aSig0, &aSig1 ); - ++zExp; - } - zSig0 = estimateDiv128To64( aSig0, aSig1, bSig0 ); - mul128By64To192( bSig0, bSig1, zSig0, &term0, &term1, &term2 ); - sub192( aSig0, aSig1, 0, term0, term1, term2, &rem0, &rem1, &rem2 ); - while ( (sbits64) rem0 < 0 ) { - --zSig0; - add192( rem0, rem1, rem2, 0, bSig0, bSig1, &rem0, &rem1, &rem2 ); - } - zSig1 = estimateDiv128To64( rem1, rem2, bSig0 ); - if ( ( zSig1 & 0x3FFF ) <= 4 ) { - mul128By64To192( bSig0, bSig1, zSig1, &term1, &term2, &term3 ); - sub192( rem1, rem2, 0, term1, term2, term3, &rem1, &rem2, &rem3 ); - while ( (sbits64) rem1 < 0 ) { - --zSig1; - add192( rem1, rem2, rem3, 0, bSig0, bSig1, &rem1, &rem2, &rem3 ); - } - zSig1 |= ( ( rem1 | rem2 | rem3 ) != 0 ); - } - shift128ExtraRightJamming( zSig0, zSig1, 0, 15, &zSig0, &zSig1, &zSig2 ); - return roundAndPackFloat128( zSign, zExp, zSig0, zSig1, zSig2 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the remainder of the quadruple-precision floating-point value `a' -| with respect to the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_rem( float128 a, float128 b ) -{ - flag aSign, bSign, zSign; - int32 aExp, bExp, expDiff; - bits64 aSig0, aSig1, bSig0, bSig1, q, term0, term1, term2; - bits64 allZero, alternateASig0, alternateASig1, sigMean1; - sbits64 sigMean0; - float128 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - bSig1 = extractFloat128Frac1( b ); - bSig0 = extractFloat128Frac0( b ); - bExp = extractFloat128Exp( b ); - bSign = extractFloat128Sign( b ); - if ( aExp == 0x7FFF ) { - if ( ( aSig0 | aSig1 ) - || ( ( bExp == 0x7FFF ) && ( bSig0 | bSig1 ) ) ) { - return propagateFloat128NaN( a, b ); - } - goto invalid; - } - if ( bExp == 0x7FFF ) { - if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b ); - return a; - } - if ( bExp == 0 ) { - if ( ( bSig0 | bSig1 ) == 0 ) { - invalid: - float_raise( float_flag_invalid ); - z.low = float128_default_nan_low; - z.high = float128_default_nan_high; - return z; - } - normalizeFloat128Subnormal( bSig0, bSig1, &bExp, &bSig0, &bSig1 ); - } - if ( aExp == 0 ) { - if ( ( aSig0 | aSig1 ) == 0 ) return a; - normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 ); - } - expDiff = aExp - bExp; - if ( expDiff < -1 ) return a; - shortShift128Left( - aSig0 | LIT64( 0x0001000000000000 ), - aSig1, - 15 - ( expDiff < 0 ), - &aSig0, - &aSig1 - ); - shortShift128Left( - bSig0 | LIT64( 0x0001000000000000 ), bSig1, 15, &bSig0, &bSig1 ); - q = le128( bSig0, bSig1, aSig0, aSig1 ); - if ( q ) sub128( aSig0, aSig1, bSig0, bSig1, &aSig0, &aSig1 ); - expDiff -= 64; - while ( 0 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig0 ); - q = ( 4 < q ) ? q - 4 : 0; - mul128By64To192( bSig0, bSig1, q, &term0, &term1, &term2 ); - shortShift192Left( term0, term1, term2, 61, &term1, &term2, &allZero ); - shortShift128Left( aSig0, aSig1, 61, &aSig0, &allZero ); - sub128( aSig0, 0, term1, term2, &aSig0, &aSig1 ); - expDiff -= 61; - } - if ( -64 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig0 ); - q = ( 4 < q ) ? q - 4 : 0; - q >>= - expDiff; - shift128Right( bSig0, bSig1, 12, &bSig0, &bSig1 ); - expDiff += 52; - if ( expDiff < 0 ) { - shift128Right( aSig0, aSig1, - expDiff, &aSig0, &aSig1 ); - } - else { - shortShift128Left( aSig0, aSig1, expDiff, &aSig0, &aSig1 ); - } - mul128By64To192( bSig0, bSig1, q, &term0, &term1, &term2 ); - sub128( aSig0, aSig1, term1, term2, &aSig0, &aSig1 ); - } - else { - shift128Right( aSig0, aSig1, 12, &aSig0, &aSig1 ); - shift128Right( bSig0, bSig1, 12, &bSig0, &bSig1 ); - } - do { - alternateASig0 = aSig0; - alternateASig1 = aSig1; - ++q; - sub128( aSig0, aSig1, bSig0, bSig1, &aSig0, &aSig1 ); - } while ( 0 <= (sbits64) aSig0 ); - add128( - aSig0, aSig1, alternateASig0, alternateASig1, (bits64*)&sigMean0, &sigMean1 ); - if ( ( sigMean0 < 0 ) - || ( ( ( sigMean0 | sigMean1 ) == 0 ) && ( q & 1 ) ) ) { - aSig0 = alternateASig0; - aSig1 = alternateASig1; - } - zSign = ( (sbits64) aSig0 < 0 ); - if ( zSign ) sub128( 0, 0, aSig0, aSig1, &aSig0, &aSig1 ); - return - normalizeRoundAndPackFloat128( aSign ^ zSign, bExp - 4, aSig0, aSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Returns the square root of the quadruple-precision floating-point value `a'. -| The operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_sqrt( float128 a ) -{ - flag aSign; - int32 aExp, zExp; - bits64 aSig0, aSig1, zSig0, zSig1, zSig2, doubleZSig0; - bits64 rem0, rem1, rem2, rem3, term0, term1, term2, term3; - float128 z; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - if ( aExp == 0x7FFF ) { - if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, a ); - if ( ! aSign ) return a; - goto invalid; - } - if ( aSign ) { - if ( ( aExp | aSig0 | aSig1 ) == 0 ) return a; - invalid: - float_raise( float_flag_invalid ); - z.low = float128_default_nan_low; - z.high = float128_default_nan_high; - return z; - } - if ( aExp == 0 ) { - if ( ( aSig0 | aSig1 ) == 0 ) return packFloat128( 0, 0, 0, 0 ); - normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 ); - } - zExp = ( ( aExp - 0x3FFF )>>1 ) + 0x3FFE; - aSig0 |= LIT64( 0x0001000000000000 ); - zSig0 = estimateSqrt32( aExp, aSig0>>17 ); - shortShift128Left( aSig0, aSig1, 13 - ( aExp & 1 ), &aSig0, &aSig1 ); - zSig0 = estimateDiv128To64( aSig0, aSig1, zSig0<<32 ) + ( zSig0<<30 ); - doubleZSig0 = zSig0<<1; - mul64To128( zSig0, zSig0, &term0, &term1 ); - sub128( aSig0, aSig1, term0, term1, &rem0, &rem1 ); - while ( (sbits64) rem0 < 0 ) { - --zSig0; - doubleZSig0 -= 2; - add128( rem0, rem1, zSig0>>63, doubleZSig0 | 1, &rem0, &rem1 ); - } - zSig1 = estimateDiv128To64( rem1, 0, doubleZSig0 ); - if ( ( zSig1 & 0x1FFF ) <= 5 ) { - if ( zSig1 == 0 ) zSig1 = 1; - mul64To128( doubleZSig0, zSig1, &term1, &term2 ); - sub128( rem1, 0, term1, term2, &rem1, &rem2 ); - mul64To128( zSig1, zSig1, &term2, &term3 ); - sub192( rem1, rem2, 0, 0, term2, term3, &rem1, &rem2, &rem3 ); - while ( (sbits64) rem1 < 0 ) { - --zSig1; - shortShift128Left( 0, zSig1, 1, &term2, &term3 ); - term3 |= 1; - term2 |= doubleZSig0; - add192( rem1, rem2, rem3, 0, term2, term3, &rem1, &rem2, &rem3 ); - } - zSig1 |= ( ( rem1 | rem2 | rem3 ) != 0 ); - } - shift128ExtraRightJamming( zSig0, zSig1, 0, 14, &zSig0, &zSig1, &zSig2 ); - return roundAndPackFloat128( 0, zExp, zSig0, zSig1, zSig2 ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is equal to -| the corresponding value `b', and 0 otherwise. The comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_eq( float128 a, float128 b ) -{ - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - if ( float128_is_signaling_nan( a ) - || float128_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - return - ( a.low == b.low ) - && ( ( a.high == b.high ) - || ( ( a.low == 0 ) - && ( (bits64) ( ( a.high | b.high )<<1 ) == 0 ) ) - ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is less than -| or equal to the corresponding value `b', and 0 otherwise. The comparison -| is performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_le( float128 a, float128 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign != bSign ) { - return - aSign - || ( ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - == 0 ); - } - return - aSign ? le128( b.high, b.low, a.high, a.low ) - : le128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is less than -| the corresponding value `b', and 0 otherwise. The comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_lt( float128 a, float128 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign != bSign ) { - return - aSign - && ( ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - != 0 ); - } - return - aSign ? lt128( b.high, b.low, a.high, a.low ) - : lt128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is equal to -| the corresponding value `b', and 0 otherwise. The invalid exception is -| raised if either operand is a NaN. Otherwise, the comparison is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_eq_signaling( float128 a, float128 b ) -{ - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - float_raise( float_flag_invalid ); - return 0; - } - return - ( a.low == b.low ) - && ( ( a.high == b.high ) - || ( ( a.low == 0 ) - && ( (bits64) ( ( a.high | b.high )<<1 ) == 0 ) ) - ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is less than -| or equal to the corresponding value `b', and 0 otherwise. Quiet NaNs do not -| cause an exception. Otherwise, the comparison is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_le_quiet( float128 a, float128 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - if ( float128_is_signaling_nan( a ) - || float128_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign != bSign ) { - return - aSign - || ( ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - == 0 ); - } - return - aSign ? le128( b.high, b.low, a.high, a.low ) - : le128( a.high, a.low, b.high, b.low ); - -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is less than -| the corresponding value `b', and 0 otherwise. Quiet NaNs do not cause an -| exception. Otherwise, the comparison is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -flag float128_lt_quiet( float128 a, float128 b ) -{ - flag aSign, bSign; - - if ( ( ( extractFloat128Exp( a ) == 0x7FFF ) - && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) ) - || ( ( extractFloat128Exp( b ) == 0x7FFF ) - && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) ) - ) { - if ( float128_is_signaling_nan( a ) - || float128_is_signaling_nan( b ) ) { - float_raise( float_flag_invalid ); - } - return 0; - } - aSign = extractFloat128Sign( a ); - bSign = extractFloat128Sign( b ); - if ( aSign != bSign ) { - return - aSign - && ( ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low ) - != 0 ); - } - return - aSign ? lt128( b.high, b.low, a.high, a.low ) - : lt128( a.high, a.low, b.high, b.low ); - -} - -#endif - diff --git a/softfloat/softfloat.cc b/softfloat/softfloat.cc deleted file mode 100644 index c44e828..0000000 --- a/softfloat/softfloat.cc +++ /dev/null @@ -1 +0,0 @@ -#include "softfloat.c" diff --git a/softfloat/softfloat.h b/softfloat/softfloat.h old mode 100644 new mode 100755 index fc3f9dc..a7ea248 --- a/softfloat/softfloat.h +++ b/softfloat/softfloat.h @@ -1,14 +1,225 @@ -#ifdef __cplusplus -extern "C" { -#endif - -#ifndef _SOFTFLOAT_H -#define _SOFTFLOAT_H - -#include "softfloat-header" - -#endif - -#ifdef __cplusplus -} -#endif + +#ifndef softfloat_h +#define softfloat_h + +/*** UPDATE COMMENTS. ***/ + +/*============================================================================ + +This C header file is part of the SoftFloat IEEE Floating-point Arithmetic +Package, Release 2b. + +Written by John R. Hauser. This work was made possible in part by the +International Computer Science Institute, located at Suite 600, 1947 Center +Street, Berkeley, California 94704. Funding was partially provided by the +National Science Foundation under grant MIP-9311980. The original version +of this code was written as part of a project to build a fixed-point vector +processor in collaboration with the University of California at Berkeley, +overseen by Profs. Nelson Morgan and John Wawrzynek. More information +is available through the Web page `http://www.cs.berkeley.edu/~jhauser/ +arithmetic/SoftFloat.html'. + +THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has +been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES +RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS +AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES, +COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE +EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE +INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR +OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE. + +Derivative works are acceptable, even for commercial purposes, so long as +(1) the source code for the derivative work includes prominent notice that +the work is derivative, and (2) the source code includes prominent notice with +these four paragraphs for those parts of this code that are retained. + +=============================================================================*/ + +#include "softfloat_types.h" + +/*---------------------------------------------------------------------------- +| Software floating-point underflow tininess-detection mode. +*----------------------------------------------------------------------------*/ +extern int_fast8_t softfloat_detectTininess; +enum { + softfloat_tininess_beforeRounding = 0, + softfloat_tininess_afterRounding = 1 +}; + +/*---------------------------------------------------------------------------- +| Software floating-point rounding mode. +*----------------------------------------------------------------------------*/ +extern int_fast8_t softfloat_roundingMode; +enum { + softfloat_round_nearest_even = 0, + softfloat_round_minMag = 1, + softfloat_round_min = 2, + softfloat_round_max = 3, + softfloat_round_nearest_maxMag = 4 +}; + +/*---------------------------------------------------------------------------- +| Software floating-point exception flags. +*----------------------------------------------------------------------------*/ +extern int_fast8_t softfloat_exceptionFlags; +enum { + softfloat_flag_inexact = 1, + softfloat_flag_underflow = 2, + softfloat_flag_overflow = 4, + softfloat_flag_infinity = 8, + softfloat_flag_invalid = 16 +}; + +/*---------------------------------------------------------------------------- +| Routine to raise any or all of the software floating-point exception flags. +*----------------------------------------------------------------------------*/ +void softfloat_raiseFlags( int_fast8_t ); + +/*---------------------------------------------------------------------------- +| Integer-to-floating-point conversion routines. +*----------------------------------------------------------------------------*/ +float32_t ui32_to_f32( uint_fast32_t ); +float64_t ui32_to_f64( uint_fast32_t ); +floatx80_t ui32_to_fx80( uint_fast32_t ); +float128_t ui32_to_f128( uint_fast32_t ); +float32_t ui64_to_f32( uint_fast64_t ); +float64_t ui64_to_f64( uint_fast64_t ); +floatx80_t ui64_to_fx80( uint_fast64_t ); +float128_t ui64_to_f128( uint_fast64_t ); +float32_t i32_to_f32( int_fast32_t ); +float64_t i32_to_f64( int_fast32_t ); +floatx80_t i32_to_fx80( int_fast32_t ); +float128_t i32_to_f128( int_fast32_t ); +float32_t i64_to_f32( int_fast64_t ); +float64_t i64_to_f64( int_fast64_t ); +floatx80_t i64_to_fx80( int_fast64_t ); +float128_t i64_to_f128( int_fast64_t ); + +/*---------------------------------------------------------------------------- +| 32-bit (single-precision) floating-point operations. +*----------------------------------------------------------------------------*/ +uint_fast32_t f32_to_ui32( float32_t, int_fast8_t, bool ); +uint_fast64_t f32_to_ui64( float32_t, int_fast8_t, bool ); +int_fast32_t f32_to_i32( float32_t, int_fast8_t, bool ); +int_fast64_t f32_to_i64( float32_t, int_fast8_t, bool ); +uint_fast32_t f32_to_ui32_r_minMag( float32_t, bool ); +uint_fast64_t f32_to_ui64_r_minMag( float32_t, bool ); +int_fast32_t f32_to_i32_r_minMag( float32_t, bool ); +int_fast64_t f32_to_i64_r_minMag( float32_t, bool ); +float64_t f32_to_f64( float32_t ); +floatx80_t f32_to_fx80( float32_t ); +float128_t f32_to_f128( float32_t ); +float32_t f32_roundToInt( float32_t, int_fast8_t, bool ); +float32_t f32_add( float32_t, float32_t ); +float32_t f32_sub( float32_t, float32_t ); +float32_t f32_mul( float32_t, float32_t ); +float32_t f32_mulAdd( float32_t, float32_t, float32_t ); +float32_t f32_div( float32_t, float32_t ); +float32_t f32_rem( float32_t, float32_t ); +float32_t f32_sqrt( float32_t ); +bool f32_eq( float32_t, float32_t ); +bool f32_le( float32_t, float32_t ); +bool f32_lt( float32_t, float32_t ); +bool f32_eq_signaling( float32_t, float32_t ); +bool f32_le_quiet( float32_t, float32_t ); +bool f32_lt_quiet( float32_t, float32_t ); +bool f32_isSignalingNaN( float32_t ); + +/*---------------------------------------------------------------------------- +| 64-bit (double-precision) floating-point operations. +*----------------------------------------------------------------------------*/ +uint_fast32_t f64_to_ui32( float64_t, int_fast8_t, bool ); +uint_fast64_t f64_to_ui64( float64_t, int_fast8_t, bool ); +int_fast32_t f64_to_i32( float64_t, int_fast8_t, bool ); +int_fast64_t f64_to_i64( float64_t, int_fast8_t, bool ); +uint_fast32_t f64_to_ui32_r_minMag( float64_t, bool ); +uint_fast64_t f64_to_ui64_r_minMag( float64_t, bool ); +int_fast32_t f64_to_i32_r_minMag( float64_t, bool ); +int_fast64_t f64_to_i64_r_minMag( float64_t, bool ); +float32_t f64_to_f32( float64_t ); +floatx80_t f64_to_fx80( float64_t ); +float128_t f64_to_f128( float64_t ); +float64_t f64_roundToInt( float64_t, int_fast8_t, bool ); +float64_t f64_add( float64_t, float64_t ); +float64_t f64_sub( float64_t, float64_t ); +float64_t f64_mul( float64_t, float64_t ); +float64_t f64_mulAdd( float64_t, float64_t, float64_t ); +float64_t f64_div( float64_t, float64_t ); +float64_t f64_rem( float64_t, float64_t ); +float64_t f64_sqrt( float64_t ); +bool f64_eq( float64_t, float64_t ); +bool f64_le( float64_t, float64_t ); +bool f64_lt( float64_t, float64_t ); +bool f64_eq_signaling( float64_t, float64_t ); +bool f64_le_quiet( float64_t, float64_t ); +bool f64_lt_quiet( float64_t, float64_t ); +bool f64_isSignalingNaN( float64_t ); + +/*---------------------------------------------------------------------------- +| Extended double-precision rounding precision. Valid values are 32, 64, and +| 80. +*----------------------------------------------------------------------------*/ +extern int_fast8_t floatx80_roundingPrecision; + +/*---------------------------------------------------------------------------- +| Extended double-precision floating-point operations. +*----------------------------------------------------------------------------*/ +uint_fast32_t fx80_to_ui32( floatx80_t, int_fast8_t, bool ); +uint_fast64_t fx80_to_ui64( floatx80_t, int_fast8_t, bool ); +int_fast32_t fx80_to_i32( floatx80_t, int_fast8_t, bool ); +int_fast64_t fx80_to_i64( floatx80_t, int_fast8_t, bool ); +uint_fast32_t fx80_to_ui32_r_minMag( floatx80_t, bool ); +uint_fast64_t fx80_to_ui64_r_minMag( floatx80_t, bool ); +int_fast32_t fx80_to_i32_r_minMag( floatx80_t, bool ); +int_fast64_t fx80_to_i64_r_minMag( floatx80_t, bool ); +float32_t fx80_to_f32( floatx80_t ); +float64_t fx80_to_f64( floatx80_t ); +float128_t fx80_to_f128( floatx80_t ); +floatx80_t fx80_roundToInt( floatx80_t, int_fast8_t, bool ); +floatx80_t fx80_add( floatx80_t, floatx80_t ); +floatx80_t fx80_sub( floatx80_t, floatx80_t ); +floatx80_t fx80_mul( floatx80_t, floatx80_t ); +floatx80_t fx80_mulAdd( floatx80_t, floatx80_t, floatx80_t ); +floatx80_t fx80_div( floatx80_t, floatx80_t ); +floatx80_t fx80_rem( floatx80_t, floatx80_t ); +floatx80_t fx80_sqrt( floatx80_t ); +bool fx80_eq( floatx80_t, floatx80_t ); +bool fx80_le( floatx80_t, floatx80_t ); +bool fx80_lt( floatx80_t, floatx80_t ); +bool fx80_eq_signaling( floatx80_t, floatx80_t ); +bool fx80_le_quiet( floatx80_t, floatx80_t ); +bool fx80_lt_quiet( floatx80_t, floatx80_t ); +bool fx80_isSignalingNaN( floatx80_t ); + +/*---------------------------------------------------------------------------- +| 128-bit (quadruple-precision) floating-point operations. +*----------------------------------------------------------------------------*/ +uint_fast32_t f128_to_ui32( float128_t, int_fast8_t, bool ); +uint_fast64_t f128_to_ui64( float128_t, int_fast8_t, bool ); +int_fast32_t f128_to_i32( float128_t, int_fast8_t, bool ); +int_fast64_t f128_to_i64( float128_t, int_fast8_t, bool ); +uint_fast32_t f128_to_ui32_r_minMag( float128_t, bool ); +uint_fast64_t f128_to_ui64_r_minMag( float128_t, bool ); +int_fast32_t f128_to_i32_r_minMag( float128_t, bool ); +int_fast64_t f128_to_i64_r_minMag( float128_t, bool ); +float32_t f128_to_f32( float128_t ); +float64_t f128_to_f64( float128_t ); +floatx80_t f128_to_fx80( float128_t ); +float128_t f128_roundToInt( float128_t, int_fast8_t, bool ); +float128_t f128_add( float128_t, float128_t ); +float128_t f128_sub( float128_t, float128_t ); +float128_t f128_mul( float128_t, float128_t ); +float128_t f128_mulAdd( float128_t, float128_t, float128_t ); +float128_t f128_div( float128_t, float128_t ); +float128_t f128_rem( float128_t, float128_t ); +float128_t f128_sqrt( float128_t ); +bool f128_eq( float128_t, float128_t ); +bool f128_le( float128_t, float128_t ); +bool f128_lt( float128_t, float128_t ); +bool f128_eq_signaling( float128_t, float128_t ); +bool f128_le_quiet( float128_t, float128_t ); +bool f128_lt_quiet( float128_t, float128_t ); +bool f128_isSignalingNaN( float128_t ); + +#endif + diff --git a/softfloat/softfloat.mk.in b/softfloat/softfloat.mk.in index 4f86e12..964bc47 100644 --- a/softfloat/softfloat.mk.in +++ b/softfloat/softfloat.mk.in @@ -1,13 +1,112 @@ -softfloat_subproject_deps = +softfloat_subproject_deps = \ + sotfloat_riscv \ softfloat_hdrs = \ - softfloat.h \ - softfloat-macros \ - milieu.h \ - softfloat-specialize \ + internals.h \ + primitives.h \ + softfloat.h \ softfloat_srcs = \ - softfloat.cc \ + f32_add.cc \ + f32_div.cc \ + f32_eq.cc \ + f32_eq_signaling.cc \ + f32_isSignalingNaN.cc \ + f32_le.cc \ + f32_le_quiet.cc \ + f32_lt.cc \ + f32_lt_quiet.cc \ + f32_mulAdd.cc \ + f32_mul.cc \ + f32_rem.cc \ + f32_roundToInt.cc \ + f32_sqrt.cc \ + f32_sub.cc \ + f32_to_f64.cc \ + f32_to_i32.cc \ + f32_to_i32_r_minMag.cc \ + f32_to_i64.cc \ + f32_to_i64_r_minMag.cc \ + f32_to_ui32.cc \ + f32_to_ui32_r_minMag.cc \ + f32_to_ui64.cc \ + f32_to_ui64_r_minMag.cc \ + f64_add.cc \ + f64_div.cc \ + f64_eq.cc \ + f64_eq_signaling.cc \ + f64_isSignalingNaN.cc \ + f64_le.cc \ + f64_le_quiet.cc \ + f64_lt.cc \ + f64_lt_quiet.cc \ + f64_mulAdd.cc \ + f64_mul.cc \ + f64_rem.cc \ + f64_roundToInt.cc \ + f64_sqrt.cc \ + f64_sub.cc \ + f64_to_f32.cc \ + f64_to_i32.cc \ + f64_to_i32_r_minMag.cc \ + f64_to_i64.cc \ + f64_to_i64_r_minMag.cc \ + f64_to_ui32.cc \ + f64_to_ui32_r_minMag.cc \ + f64_to_ui64.cc \ + f64_to_ui64_r_minMag.cc \ + i32_to_f32.cc \ + i32_to_f64.cc \ + i64_to_f32.cc \ + i64_to_f64.cc \ + s_add128.cc \ + s_add192.cc \ + s_addMagsF32.cc \ + s_addMagsF64.cc \ + s_countLeadingZeros32.cc \ + s_countLeadingZeros64.cc \ + s_countLeadingZeros8.cc \ + s_eq128.cc \ + s_estimateDiv128To64.cc \ + s_estimateSqrt32.cc \ + s_le128.cc \ + s_lt128.cc \ + s_mul128By64To192.cc \ + s_mul128To256.cc \ + s_mul64To128.cc \ + s_mulAddF32.cc \ + s_mulAddF64.cc \ + s_normRoundPackToF32.cc \ + s_normRoundPackToF64.cc \ + s_normSubnormalF32Sig.cc \ + s_normSubnormalF64Sig.cc \ + softfloat_state.cc \ + s_roundPackToF32.cc \ + s_roundPackToF64.cc \ + s_roundPackToI32.cc \ + s_roundPackToI64.cc \ + s_roundPackToUI32.cc \ + s_roundPackToUI64.cc \ + s_shift128ExtraRightJam.cc \ + s_shift128RightJam.cc \ + s_shift32RightJam.cc \ + s_shift64ExtraRightJam.cc \ + s_shift64RightJam.cc \ + s_shortShift128ExtraRightJam.cc \ + s_shortShift128Left.cc \ + s_shortShift128Right.cc \ + s_shortShift192Left.cc \ + s_shortShift32Right1Jam.cc \ + s_shortShift64ExtraRightJam.cc \ + s_shortShift64RightJam.cc \ + s_sub128.cc \ + s_sub192.cc \ + s_subMagsF32.cc \ + s_subMagsF64.cc \ + ui32_to_f32.cc \ + ui32_to_f64.cc \ + ui64_to_f32.cc \ + ui64_to_f64.cc \ softfloat_test_srcs = diff --git a/softfloat/SoftFloat-3/source/softfloat_state.c b/softfloat/softfloat_state.cc similarity index 100% rename from softfloat/SoftFloat-3/source/softfloat_state.c rename to softfloat/softfloat_state.cc diff --git a/softfloat/SoftFloat-3/source/ui32_to_f32.c b/softfloat/ui32_to_f32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/ui32_to_f32.c rename to softfloat/ui32_to_f32.cc diff --git a/softfloat/SoftFloat-3/source/ui32_to_f64.c b/softfloat/ui32_to_f64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/ui32_to_f64.c rename to softfloat/ui32_to_f64.cc diff --git a/softfloat/SoftFloat-3/source/ui64_to_f32.c b/softfloat/ui64_to_f32.cc similarity index 100% rename from softfloat/SoftFloat-3/source/ui64_to_f32.c rename to softfloat/ui64_to_f32.cc diff --git a/softfloat/SoftFloat-3/source/ui64_to_f64.c b/softfloat/ui64_to_f64.cc similarity index 100% rename from softfloat/SoftFloat-3/source/ui64_to_f64.c rename to softfloat/ui64_to_f64.cc diff --git a/softfloat/SoftFloat-3/source/riscv/platform.h b/softfloat_riscv/platform.h similarity index 95% rename from softfloat/SoftFloat-3/source/riscv/platform.h rename to softfloat_riscv/platform.h index 9355edf..6c54313 100755 --- a/softfloat/SoftFloat-3/source/riscv/platform.h +++ b/softfloat_riscv/platform.h @@ -36,3 +36,7 @@ these four paragraphs for those parts of this code that are retained. *----------------------------------------------------------------------------*/ #define LITTLEENDIAN +#ifndef UINT64_C +# define UINT64_C(x) (x ## ULL) +# define INT64_C(x) (x ## LL) +#endif diff --git a/softfloat/SoftFloat-3/source/riscv/s_commonNaNToF32UI.c b/softfloat_riscv/s_commonNaNToF32UI.cc similarity index 100% rename from softfloat/SoftFloat-3/source/riscv/s_commonNaNToF32UI.c rename to softfloat_riscv/s_commonNaNToF32UI.cc diff --git a/softfloat/SoftFloat-3/source/riscv/s_commonNaNToF64UI.c b/softfloat_riscv/s_commonNaNToF64UI.cc similarity index 100% rename from softfloat/SoftFloat-3/source/riscv/s_commonNaNToF64UI.c rename to softfloat_riscv/s_commonNaNToF64UI.cc diff --git a/softfloat/SoftFloat-3/source/riscv/s_f32UIToCommonNaN.c b/softfloat_riscv/s_f32UIToCommonNaN.cc similarity index 100% rename from softfloat/SoftFloat-3/source/riscv/s_f32UIToCommonNaN.c rename to softfloat_riscv/s_f32UIToCommonNaN.cc diff --git a/softfloat/SoftFloat-3/source/riscv/s_f64UIToCommonNaN.c b/softfloat_riscv/s_f64UIToCommonNaN.cc similarity index 100% rename from softfloat/SoftFloat-3/source/riscv/s_f64UIToCommonNaN.c rename to softfloat_riscv/s_f64UIToCommonNaN.cc diff --git a/softfloat/SoftFloat-3/source/riscv/s_isSigNaNF32UI.c b/softfloat_riscv/s_isSigNaNF32UI.cc similarity index 100% rename from softfloat/SoftFloat-3/source/riscv/s_isSigNaNF32UI.c rename to softfloat_riscv/s_isSigNaNF32UI.cc diff --git a/softfloat/SoftFloat-3/source/riscv/s_isSigNaNF64UI.c b/softfloat_riscv/s_isSigNaNF64UI.cc similarity index 100% rename from softfloat/SoftFloat-3/source/riscv/s_isSigNaNF64UI.c rename to softfloat_riscv/s_isSigNaNF64UI.cc diff --git a/softfloat/SoftFloat-3/source/riscv/s_propagateNaNF32UI.c b/softfloat_riscv/s_propagateNaNF32UI.cc similarity index 100% rename from softfloat/SoftFloat-3/source/riscv/s_propagateNaNF32UI.c rename to softfloat_riscv/s_propagateNaNF32UI.cc diff --git a/softfloat/SoftFloat-3/source/riscv/s_propagateNaNF64UI.c b/softfloat_riscv/s_propagateNaNF64UI.cc similarity index 100% rename from softfloat/SoftFloat-3/source/riscv/s_propagateNaNF64UI.c rename to softfloat_riscv/s_propagateNaNF64UI.cc diff --git a/softfloat/SoftFloat-3/source/riscv/softfloat_raiseFlags.c b/softfloat_riscv/softfloat_raiseFlags.cc similarity index 100% rename from softfloat/SoftFloat-3/source/riscv/softfloat_raiseFlags.c rename to softfloat_riscv/softfloat_raiseFlags.cc diff --git a/softfloat_riscv/softfloat_riscv.ac b/softfloat_riscv/softfloat_riscv.ac new file mode 100644 index 0000000..e69de29 diff --git a/softfloat_riscv/softfloat_riscv.mk.in b/softfloat_riscv/softfloat_riscv.mk.in new file mode 100644 index 0000000..0b996fb --- /dev/null +++ b/softfloat_riscv/softfloat_riscv.mk.in @@ -0,0 +1,21 @@ +softfloat_riscv_subproject_deps = \ + +softfloat_riscv_hdrs = \ + softfloat_types.h \ + platform.h \ + specialize.h \ + +softfloat_riscv_srcs = \ + softfloat_raiseFlags.cc \ + s_commonNaNToF32UI.cc \ + s_commonNaNToF64UI.cc \ + s_f32UIToCommonNaN.cc \ + s_f64UIToCommonNaN.cc \ + s_isSigNaNF32UI.cc \ + s_isSigNaNF64UI.cc \ + s_propagateNaNF32UI.cc \ + s_propagateNaNF64UI.cc \ + +softfloat_riscv_test_srcs = + +softfloat_riscv_install_prog_srcs = diff --git a/softfloat/SoftFloat-3/source/riscv/softfloat_types.h b/softfloat_riscv/softfloat_types.h similarity index 73% rename from softfloat/SoftFloat-3/source/riscv/softfloat_types.h rename to softfloat_riscv/softfloat_types.h index b5c1828..9fada89 100755 --- a/softfloat/SoftFloat-3/source/riscv/softfloat_types.h +++ b/softfloat_riscv/softfloat_types.h @@ -7,8 +7,8 @@ #include #include -typedef struct { uint32_t v; } float32_t; -typedef struct { uint64_t v; } float64_t; +typedef uint32_t float32_t; +typedef uint64_t float64_t; typedef struct { uint64_t v; uint16_t x; } floatx80_t; typedef struct { uint64_t v[ 2 ]; } float128_t; diff --git a/softfloat/SoftFloat-3/source/riscv/specialize.h b/softfloat_riscv/specialize.h similarity index 100% rename from softfloat/SoftFloat-3/source/riscv/specialize.h rename to softfloat_riscv/specialize.h -- 2.30.2