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authorLibravatar Linus Torvalds <torvalds@linux-foundation.org>2023-02-21 18:24:12 -0800
committerLibravatar Linus Torvalds <torvalds@linux-foundation.org>2023-02-21 18:24:12 -0800
commit5b7c4cabbb65f5c469464da6c5f614cbd7f730f2 (patch)
treecc5c2d0a898769fd59549594fedb3ee6f84e59a0 /arch/x86/math-emu/poly_sin.c
downloadlinux-5b7c4cabbb65f5c469464da6c5f614cbd7f730f2.tar.gz
linux-5b7c4cabbb65f5c469464da6c5f614cbd7f730f2.zip
Merge tag 'net-next-6.3' of git://git.kernel.org/pub/scm/linux/kernel/git/netdev/net-nextgrafted
Pull networking updates from Jakub Kicinski: "Core: - Add dedicated kmem_cache for typical/small skb->head, avoid having to access struct page at kfree time, and improve memory use. - Introduce sysctl to set default RPS configuration for new netdevs. - Define Netlink protocol specification format which can be used to describe messages used by each family and auto-generate parsers. Add tools for generating kernel data structures and uAPI headers. - Expose all net/core sysctls inside netns. - Remove 4s sleep in netpoll if carrier is instantly detected on boot. - Add configurable limit of MDB entries per port, and port-vlan. - Continue populating drop reasons throughout the stack. - Retire a handful of legacy Qdiscs and classifiers. Protocols: - Support IPv4 big TCP (TSO frames larger than 64kB). - Add IP_LOCAL_PORT_RANGE socket option, to control local port range on socket by socket basis. - Track and report in procfs number of MPTCP sockets used. - Support mixing IPv4 and IPv6 flows in the in-kernel MPTCP path manager. - IPv6: don't check net.ipv6.route.max_size and rely on garbage collection to free memory (similarly to IPv4). - Support Penultimate Segment Pop (PSP) flavor in SRv6 (RFC8986). - ICMP: add per-rate limit counters. - Add support for user scanning requests in ieee802154. - Remove static WEP support. - Support minimal Wi-Fi 7 Extremely High Throughput (EHT) rate reporting. - WiFi 7 EHT channel puncturing support (client & AP). BPF: - Add a rbtree data structure following the "next-gen data structure" precedent set by recently added linked list, that is, by using kfunc + kptr instead of adding a new BPF map type. - Expose XDP hints via kfuncs with initial support for RX hash and timestamp metadata. - Add BPF_F_NO_TUNNEL_KEY extension to bpf_skb_set_tunnel_key to better support decap on GRE tunnel devices not operating in collect metadata. - Improve x86 JIT's codegen for PROBE_MEM runtime error checks. - Remove the need for trace_printk_lock for bpf_trace_printk and bpf_trace_vprintk helpers. - Extend libbpf's bpf_tracing.h support for tracing arguments of kprobes/uprobes and syscall as a special case. - Significantly reduce the search time for module symbols by livepatch and BPF. - Enable cpumasks to be used as kptrs, which is useful for tracing programs tracking which tasks end up running on which CPUs in different time intervals. - Add support for BPF trampoline on s390x and riscv64. - Add capability to export the XDP features supported by the NIC. - Add __bpf_kfunc tag for marking kernel functions as kfuncs. - Add cgroup.memory=nobpf kernel parameter option to disable BPF memory accounting for container environments. Netfilter: - Remove the CLUSTERIP target. It has been marked as obsolete for years, and we still have WARN splats wrt races of the out-of-band /proc interface installed by this target. - Add 'destroy' commands to nf_tables. They are identical to the existing 'delete' commands, but do not return an error if the referenced object (set, chain, rule...) did not exist. Driver API: - Improve cpumask_local_spread() locality to help NICs set the right IRQ affinity on AMD platforms. - Separate C22 and C45 MDIO bus transactions more clearly. - Introduce new DCB table to control DSCP rewrite on egress. - Support configuration of Physical Layer Collision Avoidance (PLCA) Reconciliation Sublayer (RS) (802.3cg-2019). Modern version of shared medium Ethernet. - Support for MAC Merge layer (IEEE 802.3-2018 clause 99). Allowing preemption of low priority frames by high priority frames. - Add support for controlling MACSec offload using netlink SET. - Rework devlink instance refcounts to allow registration and de-registration under the instance lock. Split the code into multiple files, drop some of the unnecessarily granular locks and factor out common parts of netlink operation handling. - Add TX frame aggregation parameters (for USB drivers). - Add a new attr TCA_EXT_WARN_MSG to report TC (offload) warning messages with notifications for debug. - Allow offloading of UDP NEW connections via act_ct. - Add support for per action HW stats in TC. - Support hardware miss to TC action (continue processing in SW from a specific point in the action chain). - Warn if old Wireless Extension user space interface is used with modern cfg80211/mac80211 drivers. Do not support Wireless Extensions for Wi-Fi 7 devices at all. Everyone should switch to using nl80211 interface instead. - Improve the CAN bit timing configuration. Use extack to return error messages directly to user space, update the SJW handling, including the definition of a new default value that will benefit CAN-FD controllers, by increasing their oscillator tolerance. New hardware / drivers: - Ethernet: - nVidia BlueField-3 support (control traffic driver) - Ethernet support for imx93 SoCs - Motorcomm yt8531 gigabit Ethernet PHY - onsemi NCN26000 10BASE-T1S PHY (with support for PLCA) - Microchip LAN8841 PHY (incl. cable diagnostics and PTP) - Amlogic gxl MDIO mux - WiFi: - RealTek RTL8188EU (rtl8xxxu) - Qualcomm Wi-Fi 7 devices (ath12k) - CAN: - Renesas R-Car V4H Drivers: - Bluetooth: - Set Per Platform Antenna Gain (PPAG) for Intel controllers. - Ethernet NICs: - Intel (1G, igc): - support TSN / Qbv / packet scheduling features of i226 model - Intel (100G, ice): - use GNSS subsystem instead of TTY - multi-buffer XDP support - extend support for GPIO pins to E823 devices - nVidia/Mellanox: - update the shared buffer configuration on PFC commands - implement PTP adjphase function for HW offset control - TC support for Geneve and GRE with VF tunnel offload - more efficient crypto key management method - multi-port eswitch support - Netronome/Corigine: - add DCB IEEE support - support IPsec offloading for NFP3800 - Freescale/NXP (enetc): - support XDP_REDIRECT for XDP non-linear buffers - improve reconfig, avoid link flap and waiting for idle - support MAC Merge layer - Other NICs: - sfc/ef100: add basic devlink support for ef100 - ionic: rx_push mode operation (writing descriptors via MMIO) - bnxt: use the auxiliary bus abstraction for RDMA - r8169: disable ASPM and reset bus in case of tx timeout - cpsw: support QSGMII mode for J721e CPSW9G - cpts: support pulse-per-second output - ngbe: add an mdio bus driver - usbnet: optimize usbnet_bh() by avoiding unnecessary queuing - r8152: handle devices with FW with NCM support - amd-xgbe: support 10Mbps, 2.5GbE speeds and rx-adaptation - virtio-net: support multi buffer XDP - virtio/vsock: replace virtio_vsock_pkt with sk_buff - tsnep: XDP support - Ethernet high-speed switches: - nVidia/Mellanox (mlxsw): - add support for latency TLV (in FW control messages) - Microchip (sparx5): - separate explicit and implicit traffic forwarding rules, make the implicit rules always active - add support for egress DSCP rewrite - IS0 VCAP support (Ingress Classification) - IS2 VCAP filters (protos, L3 addrs, L4 ports, flags, ToS etc.) - ES2 VCAP support (Egress Access Control) - support for Per-Stream Filtering and Policing (802.1Q, 8.6.5.1) - Ethernet embedded switches: - Marvell (mv88e6xxx): - add MAB (port auth) offload support - enable PTP receive for mv88e6390 - NXP (ocelot): - support MAC Merge layer - support for the the vsc7512 internal copper phys - Microchip: - lan9303: convert to PHYLINK - lan966x: support TC flower filter statistics - lan937x: PTP support for KSZ9563/KSZ8563 and LAN937x - lan937x: support Credit Based Shaper configuration - ksz9477: support Energy Efficient Ethernet - other: - qca8k: convert to regmap read/write API, use bulk operations - rswitch: Improve TX timestamp accuracy - Intel WiFi (iwlwifi): - EHT (Wi-Fi 7) rate reporting - STEP equalizer support: transfer some STEP (connection to radio on platforms with integrated wifi) related parameters from the BIOS to the firmware. - Qualcomm 802.11ax WiFi (ath11k): - IPQ5018 support - Fine Timing Measurement (FTM) responder role support - channel 177 support - MediaTek WiFi (mt76): - per-PHY LED support - mt7996: EHT (Wi-Fi 7) support - Wireless Ethernet Dispatch (WED) reset support - switch to using page pool allocator - RealTek WiFi (rtw89): - support new version of Bluetooth co-existance - Mobile: - rmnet: support TX aggregation" * tag 'net-next-6.3' of git://git.kernel.org/pub/scm/linux/kernel/git/netdev/net-next: (1872 commits) page_pool: add a comment explaining the fragment counter usage net: ethtool: fix __ethtool_dev_mm_supported() implementation ethtool: pse-pd: Fix double word in comments xsk: add linux/vmalloc.h to xsk.c sefltests: netdevsim: wait for devlink instance after netns removal selftest: fib_tests: Always cleanup before exit net/mlx5e: Align IPsec ASO result memory to be as required by hardware net/mlx5e: TC, Set CT miss to the specific ct action instance net/mlx5e: Rename CHAIN_TO_REG to MAPPED_OBJ_TO_REG net/mlx5: Refactor tc miss handling to a single function net/mlx5: Kconfig: Make tc offload depend on tc skb extension net/sched: flower: Support hardware miss to tc action net/sched: flower: Move filter handle initialization earlier net/sched: cls_api: Support hardware miss to tc action net/sched: Rename user cookie and act cookie sfc: fix builds without CONFIG_RTC_LIB sfc: clean up some inconsistent indentings net/mlx4_en: Introduce flexible array to silence overflow warning net: lan966x: Fix possible deadlock inside PTP net/ulp: Remove redundant ->clone() test in inet_clone_ulp(). ...
Diffstat (limited to 'arch/x86/math-emu/poly_sin.c')
-rw-r--r--arch/x86/math-emu/poly_sin.c379
1 files changed, 379 insertions, 0 deletions
diff --git a/arch/x86/math-emu/poly_sin.c b/arch/x86/math-emu/poly_sin.c
new file mode 100644
index 000000000..c192fba51
--- /dev/null
+++ b/arch/x86/math-emu/poly_sin.c
@@ -0,0 +1,379 @@
+// SPDX-License-Identifier: GPL-2.0
+/*---------------------------------------------------------------------------+
+ | poly_sin.c |
+ | |
+ | Computation of an approximation of the sin function and the cosine |
+ | function by a polynomial. |
+ | |
+ | Copyright (C) 1992,1993,1994,1997,1999 |
+ | W. Metzenthen, 22 Parker St, Ormond, Vic 3163, Australia |
+ | E-mail billm@melbpc.org.au |
+ | |
+ | |
+ +---------------------------------------------------------------------------*/
+
+#include "exception.h"
+#include "reg_constant.h"
+#include "fpu_emu.h"
+#include "fpu_system.h"
+#include "control_w.h"
+#include "poly.h"
+
+#define N_COEFF_P 4
+#define N_COEFF_N 4
+
+static const unsigned long long pos_terms_l[N_COEFF_P] = {
+ 0xaaaaaaaaaaaaaaabLL,
+ 0x00d00d00d00cf906LL,
+ 0x000006b99159a8bbLL,
+ 0x000000000d7392e6LL
+};
+
+static const unsigned long long neg_terms_l[N_COEFF_N] = {
+ 0x2222222222222167LL,
+ 0x0002e3bc74aab624LL,
+ 0x0000000b09229062LL,
+ 0x00000000000c7973LL
+};
+
+#define N_COEFF_PH 4
+#define N_COEFF_NH 4
+static const unsigned long long pos_terms_h[N_COEFF_PH] = {
+ 0x0000000000000000LL,
+ 0x05b05b05b05b0406LL,
+ 0x000049f93edd91a9LL,
+ 0x00000000c9c9ed62LL
+};
+
+static const unsigned long long neg_terms_h[N_COEFF_NH] = {
+ 0xaaaaaaaaaaaaaa98LL,
+ 0x001a01a01a019064LL,
+ 0x0000008f76c68a77LL,
+ 0x0000000000d58f5eLL
+};
+
+/*--- poly_sine() -----------------------------------------------------------+
+ | |
+ +---------------------------------------------------------------------------*/
+void poly_sine(FPU_REG *st0_ptr)
+{
+ int exponent, echange;
+ Xsig accumulator, argSqrd, argTo4;
+ unsigned long fix_up, adj;
+ unsigned long long fixed_arg;
+ FPU_REG result;
+
+ exponent = exponent(st0_ptr);
+
+ accumulator.lsw = accumulator.midw = accumulator.msw = 0;
+
+ /* Split into two ranges, for arguments below and above 1.0 */
+ /* The boundary between upper and lower is approx 0.88309101259 */
+ if ((exponent < -1)
+ || ((exponent == -1) && (st0_ptr->sigh <= 0xe21240aa))) {
+ /* The argument is <= 0.88309101259 */
+
+ argSqrd.msw = st0_ptr->sigh;
+ argSqrd.midw = st0_ptr->sigl;
+ argSqrd.lsw = 0;
+ mul64_Xsig(&argSqrd, &significand(st0_ptr));
+ shr_Xsig(&argSqrd, 2 * (-1 - exponent));
+ argTo4.msw = argSqrd.msw;
+ argTo4.midw = argSqrd.midw;
+ argTo4.lsw = argSqrd.lsw;
+ mul_Xsig_Xsig(&argTo4, &argTo4);
+
+ polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), neg_terms_l,
+ N_COEFF_N - 1);
+ mul_Xsig_Xsig(&accumulator, &argSqrd);
+ negate_Xsig(&accumulator);
+
+ polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), pos_terms_l,
+ N_COEFF_P - 1);
+
+ shr_Xsig(&accumulator, 2); /* Divide by four */
+ accumulator.msw |= 0x80000000; /* Add 1.0 */
+
+ mul64_Xsig(&accumulator, &significand(st0_ptr));
+ mul64_Xsig(&accumulator, &significand(st0_ptr));
+ mul64_Xsig(&accumulator, &significand(st0_ptr));
+
+ /* Divide by four, FPU_REG compatible, etc */
+ exponent = 3 * exponent;
+
+ /* The minimum exponent difference is 3 */
+ shr_Xsig(&accumulator, exponent(st0_ptr) - exponent);
+
+ negate_Xsig(&accumulator);
+ XSIG_LL(accumulator) += significand(st0_ptr);
+
+ echange = round_Xsig(&accumulator);
+
+ setexponentpos(&result, exponent(st0_ptr) + echange);
+ } else {
+ /* The argument is > 0.88309101259 */
+ /* We use sin(st(0)) = cos(pi/2-st(0)) */
+
+ fixed_arg = significand(st0_ptr);
+
+ if (exponent == 0) {
+ /* The argument is >= 1.0 */
+
+ /* Put the binary point at the left. */
+ fixed_arg <<= 1;
+ }
+ /* pi/2 in hex is: 1.921fb54442d18469 898CC51701B839A2 52049C1 */
+ fixed_arg = 0x921fb54442d18469LL - fixed_arg;
+ /* There is a special case which arises due to rounding, to fix here. */
+ if (fixed_arg == 0xffffffffffffffffLL)
+ fixed_arg = 0;
+
+ XSIG_LL(argSqrd) = fixed_arg;
+ argSqrd.lsw = 0;
+ mul64_Xsig(&argSqrd, &fixed_arg);
+
+ XSIG_LL(argTo4) = XSIG_LL(argSqrd);
+ argTo4.lsw = argSqrd.lsw;
+ mul_Xsig_Xsig(&argTo4, &argTo4);
+
+ polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), neg_terms_h,
+ N_COEFF_NH - 1);
+ mul_Xsig_Xsig(&accumulator, &argSqrd);
+ negate_Xsig(&accumulator);
+
+ polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), pos_terms_h,
+ N_COEFF_PH - 1);
+ negate_Xsig(&accumulator);
+
+ mul64_Xsig(&accumulator, &fixed_arg);
+ mul64_Xsig(&accumulator, &fixed_arg);
+
+ shr_Xsig(&accumulator, 3);
+ negate_Xsig(&accumulator);
+
+ add_Xsig_Xsig(&accumulator, &argSqrd);
+
+ shr_Xsig(&accumulator, 1);
+
+ accumulator.lsw |= 1; /* A zero accumulator here would cause problems */
+ negate_Xsig(&accumulator);
+
+ /* The basic computation is complete. Now fix the answer to
+ compensate for the error due to the approximation used for
+ pi/2
+ */
+
+ /* This has an exponent of -65 */
+ fix_up = 0x898cc517;
+ /* The fix-up needs to be improved for larger args */
+ if (argSqrd.msw & 0xffc00000) {
+ /* Get about 32 bit precision in these: */
+ fix_up -= mul_32_32(0x898cc517, argSqrd.msw) / 6;
+ }
+ fix_up = mul_32_32(fix_up, LL_MSW(fixed_arg));
+
+ adj = accumulator.lsw; /* temp save */
+ accumulator.lsw -= fix_up;
+ if (accumulator.lsw > adj)
+ XSIG_LL(accumulator)--;
+
+ echange = round_Xsig(&accumulator);
+
+ setexponentpos(&result, echange - 1);
+ }
+
+ significand(&result) = XSIG_LL(accumulator);
+ setsign(&result, getsign(st0_ptr));
+ FPU_copy_to_reg0(&result, TAG_Valid);
+
+#ifdef PARANOID
+ if ((exponent(&result) >= 0)
+ && (significand(&result) > 0x8000000000000000LL)) {
+ EXCEPTION(EX_INTERNAL | 0x150);
+ }
+#endif /* PARANOID */
+
+}
+
+/*--- poly_cos() ------------------------------------------------------------+
+ | |
+ +---------------------------------------------------------------------------*/
+void poly_cos(FPU_REG *st0_ptr)
+{
+ FPU_REG result;
+ long int exponent, exp2, echange;
+ Xsig accumulator, argSqrd, fix_up, argTo4;
+ unsigned long long fixed_arg;
+
+#ifdef PARANOID
+ if ((exponent(st0_ptr) > 0)
+ || ((exponent(st0_ptr) == 0)
+ && (significand(st0_ptr) > 0xc90fdaa22168c234LL))) {
+ EXCEPTION(EX_Invalid);
+ FPU_copy_to_reg0(&CONST_QNaN, TAG_Special);
+ return;
+ }
+#endif /* PARANOID */
+
+ exponent = exponent(st0_ptr);
+
+ accumulator.lsw = accumulator.midw = accumulator.msw = 0;
+
+ if ((exponent < -1)
+ || ((exponent == -1) && (st0_ptr->sigh <= 0xb00d6f54))) {
+ /* arg is < 0.687705 */
+
+ argSqrd.msw = st0_ptr->sigh;
+ argSqrd.midw = st0_ptr->sigl;
+ argSqrd.lsw = 0;
+ mul64_Xsig(&argSqrd, &significand(st0_ptr));
+
+ if (exponent < -1) {
+ /* shift the argument right by the required places */
+ shr_Xsig(&argSqrd, 2 * (-1 - exponent));
+ }
+
+ argTo4.msw = argSqrd.msw;
+ argTo4.midw = argSqrd.midw;
+ argTo4.lsw = argSqrd.lsw;
+ mul_Xsig_Xsig(&argTo4, &argTo4);
+
+ polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), neg_terms_h,
+ N_COEFF_NH - 1);
+ mul_Xsig_Xsig(&accumulator, &argSqrd);
+ negate_Xsig(&accumulator);
+
+ polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), pos_terms_h,
+ N_COEFF_PH - 1);
+ negate_Xsig(&accumulator);
+
+ mul64_Xsig(&accumulator, &significand(st0_ptr));
+ mul64_Xsig(&accumulator, &significand(st0_ptr));
+ shr_Xsig(&accumulator, -2 * (1 + exponent));
+
+ shr_Xsig(&accumulator, 3);
+ negate_Xsig(&accumulator);
+
+ add_Xsig_Xsig(&accumulator, &argSqrd);
+
+ shr_Xsig(&accumulator, 1);
+
+ /* It doesn't matter if accumulator is all zero here, the
+ following code will work ok */
+ negate_Xsig(&accumulator);
+
+ if (accumulator.lsw & 0x80000000)
+ XSIG_LL(accumulator)++;
+ if (accumulator.msw == 0) {
+ /* The result is 1.0 */
+ FPU_copy_to_reg0(&CONST_1, TAG_Valid);
+ return;
+ } else {
+ significand(&result) = XSIG_LL(accumulator);
+
+ /* will be a valid positive nr with expon = -1 */
+ setexponentpos(&result, -1);
+ }
+ } else {
+ fixed_arg = significand(st0_ptr);
+
+ if (exponent == 0) {
+ /* The argument is >= 1.0 */
+
+ /* Put the binary point at the left. */
+ fixed_arg <<= 1;
+ }
+ /* pi/2 in hex is: 1.921fb54442d18469 898CC51701B839A2 52049C1 */
+ fixed_arg = 0x921fb54442d18469LL - fixed_arg;
+ /* There is a special case which arises due to rounding, to fix here. */
+ if (fixed_arg == 0xffffffffffffffffLL)
+ fixed_arg = 0;
+
+ exponent = -1;
+ exp2 = -1;
+
+ /* A shift is needed here only for a narrow range of arguments,
+ i.e. for fixed_arg approx 2^-32, but we pick up more... */
+ if (!(LL_MSW(fixed_arg) & 0xffff0000)) {
+ fixed_arg <<= 16;
+ exponent -= 16;
+ exp2 -= 16;
+ }
+
+ XSIG_LL(argSqrd) = fixed_arg;
+ argSqrd.lsw = 0;
+ mul64_Xsig(&argSqrd, &fixed_arg);
+
+ if (exponent < -1) {
+ /* shift the argument right by the required places */
+ shr_Xsig(&argSqrd, 2 * (-1 - exponent));
+ }
+
+ argTo4.msw = argSqrd.msw;
+ argTo4.midw = argSqrd.midw;
+ argTo4.lsw = argSqrd.lsw;
+ mul_Xsig_Xsig(&argTo4, &argTo4);
+
+ polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), neg_terms_l,
+ N_COEFF_N - 1);
+ mul_Xsig_Xsig(&accumulator, &argSqrd);
+ negate_Xsig(&accumulator);
+
+ polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), pos_terms_l,
+ N_COEFF_P - 1);
+
+ shr_Xsig(&accumulator, 2); /* Divide by four */
+ accumulator.msw |= 0x80000000; /* Add 1.0 */
+
+ mul64_Xsig(&accumulator, &fixed_arg);
+ mul64_Xsig(&accumulator, &fixed_arg);
+ mul64_Xsig(&accumulator, &fixed_arg);
+
+ /* Divide by four, FPU_REG compatible, etc */
+ exponent = 3 * exponent;
+
+ /* The minimum exponent difference is 3 */
+ shr_Xsig(&accumulator, exp2 - exponent);
+
+ negate_Xsig(&accumulator);
+ XSIG_LL(accumulator) += fixed_arg;
+
+ /* The basic computation is complete. Now fix the answer to
+ compensate for the error due to the approximation used for
+ pi/2
+ */
+
+ /* This has an exponent of -65 */
+ XSIG_LL(fix_up) = 0x898cc51701b839a2ll;
+ fix_up.lsw = 0;
+
+ /* The fix-up needs to be improved for larger args */
+ if (argSqrd.msw & 0xffc00000) {
+ /* Get about 32 bit precision in these: */
+ fix_up.msw -= mul_32_32(0x898cc517, argSqrd.msw) / 2;
+ fix_up.msw += mul_32_32(0x898cc517, argTo4.msw) / 24;
+ }
+
+ exp2 += norm_Xsig(&accumulator);
+ shr_Xsig(&accumulator, 1); /* Prevent overflow */
+ exp2++;
+ shr_Xsig(&fix_up, 65 + exp2);
+
+ add_Xsig_Xsig(&accumulator, &fix_up);
+
+ echange = round_Xsig(&accumulator);
+
+ setexponentpos(&result, exp2 + echange);
+ significand(&result) = XSIG_LL(accumulator);
+ }
+
+ FPU_copy_to_reg0(&result, TAG_Valid);
+
+#ifdef PARANOID
+ if ((exponent(&result) >= 0)
+ && (significand(&result) > 0x8000000000000000LL)) {
+ EXCEPTION(EX_INTERNAL | 0x151);
+ }
+#endif /* PARANOID */
+
+}