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author | 2023-02-21 18:24:12 -0800 | |
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committer | 2023-02-21 18:24:12 -0800 | |
commit | 5b7c4cabbb65f5c469464da6c5f614cbd7f730f2 (patch) | |
tree | cc5c2d0a898769fd59549594fedb3ee6f84e59a0 /arch/parisc/math-emu/fmpyfadd.c | |
download | linux-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/parisc/math-emu/fmpyfadd.c')
-rw-r--r-- | arch/parisc/math-emu/fmpyfadd.c | 2642 |
1 files changed, 2642 insertions, 0 deletions
diff --git a/arch/parisc/math-emu/fmpyfadd.c b/arch/parisc/math-emu/fmpyfadd.c new file mode 100644 index 000000000..029f9bbfe --- /dev/null +++ b/arch/parisc/math-emu/fmpyfadd.c @@ -0,0 +1,2642 @@ +// SPDX-License-Identifier: GPL-2.0-or-later +/* + * Linux/PA-RISC Project (http://www.parisc-linux.org/) + * + * Floating-point emulation code + * Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org> + */ +/* + * BEGIN_DESC + * + * File: + * @(#) pa/spmath/fmpyfadd.c $Revision: 1.1 $ + * + * Purpose: + * Double Floating-point Multiply Fused Add + * Double Floating-point Multiply Negate Fused Add + * Single Floating-point Multiply Fused Add + * Single Floating-point Multiply Negate Fused Add + * + * External Interfaces: + * dbl_fmpyfadd(src1ptr,src2ptr,src3ptr,status,dstptr) + * dbl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr) + * sgl_fmpyfadd(src1ptr,src2ptr,src3ptr,status,dstptr) + * sgl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr) + * + * Internal Interfaces: + * + * Theory: + * <<please update with a overview of the operation of this file>> + * + * END_DESC +*/ + + +#include "float.h" +#include "sgl_float.h" +#include "dbl_float.h" + + +/* + * Double Floating-point Multiply Fused Add + */ + +int +dbl_fmpyfadd( + dbl_floating_point *src1ptr, + dbl_floating_point *src2ptr, + dbl_floating_point *src3ptr, + unsigned int *status, + dbl_floating_point *dstptr) +{ + unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2, opnd3p1, opnd3p2; + register unsigned int tmpresp1, tmpresp2, tmpresp3, tmpresp4; + unsigned int rightp1, rightp2, rightp3, rightp4; + unsigned int resultp1, resultp2 = 0, resultp3 = 0, resultp4 = 0; + register int mpy_exponent, add_exponent, count; + boolean inexact = FALSE, is_tiny = FALSE; + + unsigned int signlessleft1, signlessright1, save; + register int result_exponent, diff_exponent; + int sign_save, jumpsize; + + Dbl_copyfromptr(src1ptr,opnd1p1,opnd1p2); + Dbl_copyfromptr(src2ptr,opnd2p1,opnd2p2); + Dbl_copyfromptr(src3ptr,opnd3p1,opnd3p2); + + /* + * set sign bit of result of multiply + */ + if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1)) + Dbl_setnegativezerop1(resultp1); + else Dbl_setzerop1(resultp1); + + /* + * Generate multiply exponent + */ + mpy_exponent = Dbl_exponent(opnd1p1) + Dbl_exponent(opnd2p1) - DBL_BIAS; + + /* + * check first operand for NaN's or infinity + */ + if (Dbl_isinfinity_exponent(opnd1p1)) { + if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { + if (Dbl_isnotnan(opnd2p1,opnd2p2) && + Dbl_isnotnan(opnd3p1,opnd3p2)) { + if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) { + /* + * invalid since operands are infinity + * and zero + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Dbl_makequietnan(resultp1,resultp2); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + /* + * Check third operand for infinity with a + * sign opposite of the multiply result + */ + if (Dbl_isinfinity(opnd3p1,opnd3p2) && + (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) { + /* + * invalid since attempting a magnitude + * subtraction of infinities + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Dbl_makequietnan(resultp1,resultp2); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + + /* + * return infinity + */ + Dbl_setinfinity_exponentmantissa(resultp1,resultp2); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + } + else { + /* + * is NaN; signaling or quiet? + */ + if (Dbl_isone_signaling(opnd1p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd1p1); + } + /* + * is second operand a signaling NaN? + */ + else if (Dbl_is_signalingnan(opnd2p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd2p1); + Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); + return(NOEXCEPTION); + } + /* + * is third operand a signaling NaN? + */ + else if (Dbl_is_signalingnan(opnd3p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd3p1); + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } + /* + * return quiet NaN + */ + Dbl_copytoptr(opnd1p1,opnd1p2,dstptr); + return(NOEXCEPTION); + } + } + + /* + * check second operand for NaN's or infinity + */ + if (Dbl_isinfinity_exponent(opnd2p1)) { + if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) { + if (Dbl_isnotnan(opnd3p1,opnd3p2)) { + if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) { + /* + * invalid since multiply operands are + * zero & infinity + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Dbl_makequietnan(opnd2p1,opnd2p2); + Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); + return(NOEXCEPTION); + } + + /* + * Check third operand for infinity with a + * sign opposite of the multiply result + */ + if (Dbl_isinfinity(opnd3p1,opnd3p2) && + (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) { + /* + * invalid since attempting a magnitude + * subtraction of infinities + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Dbl_makequietnan(resultp1,resultp2); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + + /* + * return infinity + */ + Dbl_setinfinity_exponentmantissa(resultp1,resultp2); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + } + else { + /* + * is NaN; signaling or quiet? + */ + if (Dbl_isone_signaling(opnd2p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd2p1); + } + /* + * is third operand a signaling NaN? + */ + else if (Dbl_is_signalingnan(opnd3p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd3p1); + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } + /* + * return quiet NaN + */ + Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); + return(NOEXCEPTION); + } + } + + /* + * check third operand for NaN's or infinity + */ + if (Dbl_isinfinity_exponent(opnd3p1)) { + if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) { + /* return infinity */ + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } else { + /* + * is NaN; signaling or quiet? + */ + if (Dbl_isone_signaling(opnd3p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd3p1); + } + /* + * return quiet NaN + */ + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } + } + + /* + * Generate multiply mantissa + */ + if (Dbl_isnotzero_exponent(opnd1p1)) { + /* set hidden bit */ + Dbl_clear_signexponent_set_hidden(opnd1p1); + } + else { + /* check for zero */ + if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { + /* + * Perform the add opnd3 with zero here. + */ + if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) { + if (Is_rounding_mode(ROUNDMINUS)) { + Dbl_or_signs(opnd3p1,resultp1); + } else { + Dbl_and_signs(opnd3p1,resultp1); + } + } + /* + * Now let's check for trapped underflow case. + */ + else if (Dbl_iszero_exponent(opnd3p1) && + Is_underflowtrap_enabled()) { + /* need to normalize results mantissa */ + sign_save = Dbl_signextendedsign(opnd3p1); + result_exponent = 0; + Dbl_leftshiftby1(opnd3p1,opnd3p2); + Dbl_normalize(opnd3p1,opnd3p2,result_exponent); + Dbl_set_sign(opnd3p1,/*using*/sign_save); + Dbl_setwrapped_exponent(opnd3p1,result_exponent, + unfl); + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + /* inexact = FALSE */ + return(OPC_2E_UNDERFLOWEXCEPTION); + } + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } + /* is denormalized, adjust exponent */ + Dbl_clear_signexponent(opnd1p1); + Dbl_leftshiftby1(opnd1p1,opnd1p2); + Dbl_normalize(opnd1p1,opnd1p2,mpy_exponent); + } + /* opnd2 needs to have hidden bit set with msb in hidden bit */ + if (Dbl_isnotzero_exponent(opnd2p1)) { + Dbl_clear_signexponent_set_hidden(opnd2p1); + } + else { + /* check for zero */ + if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) { + /* + * Perform the add opnd3 with zero here. + */ + if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) { + if (Is_rounding_mode(ROUNDMINUS)) { + Dbl_or_signs(opnd3p1,resultp1); + } else { + Dbl_and_signs(opnd3p1,resultp1); + } + } + /* + * Now let's check for trapped underflow case. + */ + else if (Dbl_iszero_exponent(opnd3p1) && + Is_underflowtrap_enabled()) { + /* need to normalize results mantissa */ + sign_save = Dbl_signextendedsign(opnd3p1); + result_exponent = 0; + Dbl_leftshiftby1(opnd3p1,opnd3p2); + Dbl_normalize(opnd3p1,opnd3p2,result_exponent); + Dbl_set_sign(opnd3p1,/*using*/sign_save); + Dbl_setwrapped_exponent(opnd3p1,result_exponent, + unfl); + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + /* inexact = FALSE */ + return(OPC_2E_UNDERFLOWEXCEPTION); + } + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } + /* is denormalized; want to normalize */ + Dbl_clear_signexponent(opnd2p1); + Dbl_leftshiftby1(opnd2p1,opnd2p2); + Dbl_normalize(opnd2p1,opnd2p2,mpy_exponent); + } + + /* Multiply the first two source mantissas together */ + + /* + * The intermediate result will be kept in tmpres, + * which needs enough room for 106 bits of mantissa, + * so lets call it a Double extended. + */ + Dblext_setzero(tmpresp1,tmpresp2,tmpresp3,tmpresp4); + + /* + * Four bits at a time are inspected in each loop, and a + * simple shift and add multiply algorithm is used. + */ + for (count = DBL_P-1; count >= 0; count -= 4) { + Dblext_rightshiftby4(tmpresp1,tmpresp2,tmpresp3,tmpresp4); + if (Dbit28p2(opnd1p2)) { + /* Fourword_add should be an ADD followed by 3 ADDC's */ + Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4, + opnd2p1<<3 | opnd2p2>>29, opnd2p2<<3, 0, 0); + } + if (Dbit29p2(opnd1p2)) { + Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4, + opnd2p1<<2 | opnd2p2>>30, opnd2p2<<2, 0, 0); + } + if (Dbit30p2(opnd1p2)) { + Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4, + opnd2p1<<1 | opnd2p2>>31, opnd2p2<<1, 0, 0); + } + if (Dbit31p2(opnd1p2)) { + Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4, + opnd2p1, opnd2p2, 0, 0); + } + Dbl_rightshiftby4(opnd1p1,opnd1p2); + } + if (Is_dexthiddenoverflow(tmpresp1)) { + /* result mantissa >= 2 (mantissa overflow) */ + mpy_exponent++; + Dblext_rightshiftby1(tmpresp1,tmpresp2,tmpresp3,tmpresp4); + } + + /* + * Restore the sign of the mpy result which was saved in resultp1. + * The exponent will continue to be kept in mpy_exponent. + */ + Dblext_set_sign(tmpresp1,Dbl_sign(resultp1)); + + /* + * No rounding is required, since the result of the multiply + * is exact in the extended format. + */ + + /* + * Now we are ready to perform the add portion of the operation. + * + * The exponents need to be kept as integers for now, since the + * multiply result might not fit into the exponent field. We + * can't overflow or underflow because of this yet, since the + * add could bring the final result back into range. + */ + add_exponent = Dbl_exponent(opnd3p1); + + /* + * Check for denormalized or zero add operand. + */ + if (add_exponent == 0) { + /* check for zero */ + if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) { + /* right is zero */ + /* Left can't be zero and must be result. + * + * The final result is now in tmpres and mpy_exponent, + * and needs to be rounded and squeezed back into + * double precision format from double extended. + */ + result_exponent = mpy_exponent; + Dblext_copy(tmpresp1,tmpresp2,tmpresp3,tmpresp4, + resultp1,resultp2,resultp3,resultp4); + sign_save = Dbl_signextendedsign(resultp1);/*save sign*/ + goto round; + } + + /* + * Neither are zeroes. + * Adjust exponent and normalize add operand. + */ + sign_save = Dbl_signextendedsign(opnd3p1); /* save sign */ + Dbl_clear_signexponent(opnd3p1); + Dbl_leftshiftby1(opnd3p1,opnd3p2); + Dbl_normalize(opnd3p1,opnd3p2,add_exponent); + Dbl_set_sign(opnd3p1,sign_save); /* restore sign */ + } else { + Dbl_clear_exponent_set_hidden(opnd3p1); + } + /* + * Copy opnd3 to the double extended variable called right. + */ + Dbl_copyto_dblext(opnd3p1,opnd3p2,rightp1,rightp2,rightp3,rightp4); + + /* + * A zero "save" helps discover equal operands (for later), + * and is used in swapping operands (if needed). + */ + Dblext_xortointp1(tmpresp1,rightp1,/*to*/save); + + /* + * Compare magnitude of operands. + */ + Dblext_copytoint_exponentmantissap1(tmpresp1,signlessleft1); + Dblext_copytoint_exponentmantissap1(rightp1,signlessright1); + if (mpy_exponent < add_exponent || mpy_exponent == add_exponent && + Dblext_ismagnitudeless(tmpresp2,rightp2,signlessleft1,signlessright1)){ + /* + * Set the left operand to the larger one by XOR swap. + * First finish the first word "save". + */ + Dblext_xorfromintp1(save,rightp1,/*to*/rightp1); + Dblext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1); + Dblext_swap_lower(tmpresp2,tmpresp3,tmpresp4, + rightp2,rightp3,rightp4); + /* also setup exponents used in rest of routine */ + diff_exponent = add_exponent - mpy_exponent; + result_exponent = add_exponent; + } else { + /* also setup exponents used in rest of routine */ + diff_exponent = mpy_exponent - add_exponent; + result_exponent = mpy_exponent; + } + /* Invariant: left is not smaller than right. */ + + /* + * Special case alignment of operands that would force alignment + * beyond the extent of the extension. A further optimization + * could special case this but only reduces the path length for + * this infrequent case. + */ + if (diff_exponent > DBLEXT_THRESHOLD) { + diff_exponent = DBLEXT_THRESHOLD; + } + + /* Align right operand by shifting it to the right */ + Dblext_clear_sign(rightp1); + Dblext_right_align(rightp1,rightp2,rightp3,rightp4, + /*shifted by*/diff_exponent); + + /* Treat sum and difference of the operands separately. */ + if ((int)save < 0) { + /* + * Difference of the two operands. Overflow can occur if the + * multiply overflowed. A borrow can occur out of the hidden + * bit and force a post normalization phase. + */ + Dblext_subtract(tmpresp1,tmpresp2,tmpresp3,tmpresp4, + rightp1,rightp2,rightp3,rightp4, + resultp1,resultp2,resultp3,resultp4); + sign_save = Dbl_signextendedsign(resultp1); + if (Dbl_iszero_hidden(resultp1)) { + /* Handle normalization */ + /* A straightforward algorithm would now shift the + * result and extension left until the hidden bit + * becomes one. Not all of the extension bits need + * participate in the shift. Only the two most + * significant bits (round and guard) are needed. + * If only a single shift is needed then the guard + * bit becomes a significant low order bit and the + * extension must participate in the rounding. + * If more than a single shift is needed, then all + * bits to the right of the guard bit are zeros, + * and the guard bit may or may not be zero. */ + Dblext_leftshiftby1(resultp1,resultp2,resultp3, + resultp4); + + /* Need to check for a zero result. The sign and + * exponent fields have already been zeroed. The more + * efficient test of the full object can be used. + */ + if(Dblext_iszero(resultp1,resultp2,resultp3,resultp4)){ + /* Must have been "x-x" or "x+(-x)". */ + if (Is_rounding_mode(ROUNDMINUS)) + Dbl_setone_sign(resultp1); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + result_exponent--; + + /* Look to see if normalization is finished. */ + if (Dbl_isone_hidden(resultp1)) { + /* No further normalization is needed */ + goto round; + } + + /* Discover first one bit to determine shift amount. + * Use a modified binary search. We have already + * shifted the result one position right and still + * not found a one so the remainder of the extension + * must be zero and simplifies rounding. */ + /* Scan bytes */ + while (Dbl_iszero_hiddenhigh7mantissa(resultp1)) { + Dblext_leftshiftby8(resultp1,resultp2,resultp3,resultp4); + result_exponent -= 8; + } + /* Now narrow it down to the nibble */ + if (Dbl_iszero_hiddenhigh3mantissa(resultp1)) { + /* The lower nibble contains the + * normalizing one */ + Dblext_leftshiftby4(resultp1,resultp2,resultp3,resultp4); + result_exponent -= 4; + } + /* Select case where first bit is set (already + * normalized) otherwise select the proper shift. */ + jumpsize = Dbl_hiddenhigh3mantissa(resultp1); + if (jumpsize <= 7) switch(jumpsize) { + case 1: + Dblext_leftshiftby3(resultp1,resultp2,resultp3, + resultp4); + result_exponent -= 3; + break; + case 2: + case 3: + Dblext_leftshiftby2(resultp1,resultp2,resultp3, + resultp4); + result_exponent -= 2; + break; + case 4: + case 5: + case 6: + case 7: + Dblext_leftshiftby1(resultp1,resultp2,resultp3, + resultp4); + result_exponent -= 1; + break; + } + } /* end if (hidden...)... */ + /* Fall through and round */ + } /* end if (save < 0)... */ + else { + /* Add magnitudes */ + Dblext_addition(tmpresp1,tmpresp2,tmpresp3,tmpresp4, + rightp1,rightp2,rightp3,rightp4, + /*to*/resultp1,resultp2,resultp3,resultp4); + sign_save = Dbl_signextendedsign(resultp1); + if (Dbl_isone_hiddenoverflow(resultp1)) { + /* Prenormalization required. */ + Dblext_arithrightshiftby1(resultp1,resultp2,resultp3, + resultp4); + result_exponent++; + } /* end if hiddenoverflow... */ + } /* end else ...add magnitudes... */ + + /* Round the result. If the extension and lower two words are + * all zeros, then the result is exact. Otherwise round in the + * correct direction. Underflow is possible. If a postnormalization + * is necessary, then the mantissa is all zeros so no shift is needed. + */ + round: + if (result_exponent <= 0 && !Is_underflowtrap_enabled()) { + Dblext_denormalize(resultp1,resultp2,resultp3,resultp4, + result_exponent,is_tiny); + } + Dbl_set_sign(resultp1,/*using*/sign_save); + if (Dblext_isnotzero_mantissap3(resultp3) || + Dblext_isnotzero_mantissap4(resultp4)) { + inexact = TRUE; + switch(Rounding_mode()) { + case ROUNDNEAREST: /* The default. */ + if (Dblext_isone_highp3(resultp3)) { + /* at least 1/2 ulp */ + if (Dblext_isnotzero_low31p3(resultp3) || + Dblext_isnotzero_mantissap4(resultp4) || + Dblext_isone_lowp2(resultp2)) { + /* either exactly half way and odd or + * more than 1/2ulp */ + Dbl_increment(resultp1,resultp2); + } + } + break; + + case ROUNDPLUS: + if (Dbl_iszero_sign(resultp1)) { + /* Round up positive results */ + Dbl_increment(resultp1,resultp2); + } + break; + + case ROUNDMINUS: + if (Dbl_isone_sign(resultp1)) { + /* Round down negative results */ + Dbl_increment(resultp1,resultp2); + } + + case ROUNDZERO:; + /* truncate is simple */ + } /* end switch... */ + if (Dbl_isone_hiddenoverflow(resultp1)) result_exponent++; + } + if (result_exponent >= DBL_INFINITY_EXPONENT) { + /* trap if OVERFLOWTRAP enabled */ + if (Is_overflowtrap_enabled()) { + /* + * Adjust bias of result + */ + Dbl_setwrapped_exponent(resultp1,result_exponent,ovfl); + Dbl_copytoptr(resultp1,resultp2,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) + return (OPC_2E_OVERFLOWEXCEPTION | + OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return (OPC_2E_OVERFLOWEXCEPTION); + } + inexact = TRUE; + Set_overflowflag(); + /* set result to infinity or largest number */ + Dbl_setoverflow(resultp1,resultp2); + + } else if (result_exponent <= 0) { /* underflow case */ + if (Is_underflowtrap_enabled()) { + /* + * Adjust bias of result + */ + Dbl_setwrapped_exponent(resultp1,result_exponent,unfl); + Dbl_copytoptr(resultp1,resultp2,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) + return (OPC_2E_UNDERFLOWEXCEPTION | + OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return(OPC_2E_UNDERFLOWEXCEPTION); + } + else if (inexact && is_tiny) Set_underflowflag(); + } + else Dbl_set_exponent(resultp1,result_exponent); + Dbl_copytoptr(resultp1,resultp2,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return(NOEXCEPTION); +} + +/* + * Double Floating-point Multiply Negate Fused Add + */ + +dbl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr) + +dbl_floating_point *src1ptr, *src2ptr, *src3ptr, *dstptr; +unsigned int *status; +{ + unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2, opnd3p1, opnd3p2; + register unsigned int tmpresp1, tmpresp2, tmpresp3, tmpresp4; + unsigned int rightp1, rightp2, rightp3, rightp4; + unsigned int resultp1, resultp2 = 0, resultp3 = 0, resultp4 = 0; + register int mpy_exponent, add_exponent, count; + boolean inexact = FALSE, is_tiny = FALSE; + + unsigned int signlessleft1, signlessright1, save; + register int result_exponent, diff_exponent; + int sign_save, jumpsize; + + Dbl_copyfromptr(src1ptr,opnd1p1,opnd1p2); + Dbl_copyfromptr(src2ptr,opnd2p1,opnd2p2); + Dbl_copyfromptr(src3ptr,opnd3p1,opnd3p2); + + /* + * set sign bit of result of multiply + */ + if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1)) + Dbl_setzerop1(resultp1); + else + Dbl_setnegativezerop1(resultp1); + + /* + * Generate multiply exponent + */ + mpy_exponent = Dbl_exponent(opnd1p1) + Dbl_exponent(opnd2p1) - DBL_BIAS; + + /* + * check first operand for NaN's or infinity + */ + if (Dbl_isinfinity_exponent(opnd1p1)) { + if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { + if (Dbl_isnotnan(opnd2p1,opnd2p2) && + Dbl_isnotnan(opnd3p1,opnd3p2)) { + if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) { + /* + * invalid since operands are infinity + * and zero + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Dbl_makequietnan(resultp1,resultp2); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + /* + * Check third operand for infinity with a + * sign opposite of the multiply result + */ + if (Dbl_isinfinity(opnd3p1,opnd3p2) && + (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) { + /* + * invalid since attempting a magnitude + * subtraction of infinities + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Dbl_makequietnan(resultp1,resultp2); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + + /* + * return infinity + */ + Dbl_setinfinity_exponentmantissa(resultp1,resultp2); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + } + else { + /* + * is NaN; signaling or quiet? + */ + if (Dbl_isone_signaling(opnd1p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd1p1); + } + /* + * is second operand a signaling NaN? + */ + else if (Dbl_is_signalingnan(opnd2p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd2p1); + Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); + return(NOEXCEPTION); + } + /* + * is third operand a signaling NaN? + */ + else if (Dbl_is_signalingnan(opnd3p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd3p1); + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } + /* + * return quiet NaN + */ + Dbl_copytoptr(opnd1p1,opnd1p2,dstptr); + return(NOEXCEPTION); + } + } + + /* + * check second operand for NaN's or infinity + */ + if (Dbl_isinfinity_exponent(opnd2p1)) { + if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) { + if (Dbl_isnotnan(opnd3p1,opnd3p2)) { + if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) { + /* + * invalid since multiply operands are + * zero & infinity + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Dbl_makequietnan(opnd2p1,opnd2p2); + Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); + return(NOEXCEPTION); + } + + /* + * Check third operand for infinity with a + * sign opposite of the multiply result + */ + if (Dbl_isinfinity(opnd3p1,opnd3p2) && + (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) { + /* + * invalid since attempting a magnitude + * subtraction of infinities + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Dbl_makequietnan(resultp1,resultp2); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + + /* + * return infinity + */ + Dbl_setinfinity_exponentmantissa(resultp1,resultp2); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + } + else { + /* + * is NaN; signaling or quiet? + */ + if (Dbl_isone_signaling(opnd2p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd2p1); + } + /* + * is third operand a signaling NaN? + */ + else if (Dbl_is_signalingnan(opnd3p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd3p1); + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } + /* + * return quiet NaN + */ + Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); + return(NOEXCEPTION); + } + } + + /* + * check third operand for NaN's or infinity + */ + if (Dbl_isinfinity_exponent(opnd3p1)) { + if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) { + /* return infinity */ + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } else { + /* + * is NaN; signaling or quiet? + */ + if (Dbl_isone_signaling(opnd3p1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Dbl_set_quiet(opnd3p1); + } + /* + * return quiet NaN + */ + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } + } + + /* + * Generate multiply mantissa + */ + if (Dbl_isnotzero_exponent(opnd1p1)) { + /* set hidden bit */ + Dbl_clear_signexponent_set_hidden(opnd1p1); + } + else { + /* check for zero */ + if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { + /* + * Perform the add opnd3 with zero here. + */ + if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) { + if (Is_rounding_mode(ROUNDMINUS)) { + Dbl_or_signs(opnd3p1,resultp1); + } else { + Dbl_and_signs(opnd3p1,resultp1); + } + } + /* + * Now let's check for trapped underflow case. + */ + else if (Dbl_iszero_exponent(opnd3p1) && + Is_underflowtrap_enabled()) { + /* need to normalize results mantissa */ + sign_save = Dbl_signextendedsign(opnd3p1); + result_exponent = 0; + Dbl_leftshiftby1(opnd3p1,opnd3p2); + Dbl_normalize(opnd3p1,opnd3p2,result_exponent); + Dbl_set_sign(opnd3p1,/*using*/sign_save); + Dbl_setwrapped_exponent(opnd3p1,result_exponent, + unfl); + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + /* inexact = FALSE */ + return(OPC_2E_UNDERFLOWEXCEPTION); + } + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } + /* is denormalized, adjust exponent */ + Dbl_clear_signexponent(opnd1p1); + Dbl_leftshiftby1(opnd1p1,opnd1p2); + Dbl_normalize(opnd1p1,opnd1p2,mpy_exponent); + } + /* opnd2 needs to have hidden bit set with msb in hidden bit */ + if (Dbl_isnotzero_exponent(opnd2p1)) { + Dbl_clear_signexponent_set_hidden(opnd2p1); + } + else { + /* check for zero */ + if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) { + /* + * Perform the add opnd3 with zero here. + */ + if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) { + if (Is_rounding_mode(ROUNDMINUS)) { + Dbl_or_signs(opnd3p1,resultp1); + } else { + Dbl_and_signs(opnd3p1,resultp1); + } + } + /* + * Now let's check for trapped underflow case. + */ + else if (Dbl_iszero_exponent(opnd3p1) && + Is_underflowtrap_enabled()) { + /* need to normalize results mantissa */ + sign_save = Dbl_signextendedsign(opnd3p1); + result_exponent = 0; + Dbl_leftshiftby1(opnd3p1,opnd3p2); + Dbl_normalize(opnd3p1,opnd3p2,result_exponent); + Dbl_set_sign(opnd3p1,/*using*/sign_save); + Dbl_setwrapped_exponent(opnd3p1,result_exponent, + unfl); + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + /* inexact = FALSE */ + return(OPC_2E_UNDERFLOWEXCEPTION); + } + Dbl_copytoptr(opnd3p1,opnd3p2,dstptr); + return(NOEXCEPTION); + } + /* is denormalized; want to normalize */ + Dbl_clear_signexponent(opnd2p1); + Dbl_leftshiftby1(opnd2p1,opnd2p2); + Dbl_normalize(opnd2p1,opnd2p2,mpy_exponent); + } + + /* Multiply the first two source mantissas together */ + + /* + * The intermediate result will be kept in tmpres, + * which needs enough room for 106 bits of mantissa, + * so lets call it a Double extended. + */ + Dblext_setzero(tmpresp1,tmpresp2,tmpresp3,tmpresp4); + + /* + * Four bits at a time are inspected in each loop, and a + * simple shift and add multiply algorithm is used. + */ + for (count = DBL_P-1; count >= 0; count -= 4) { + Dblext_rightshiftby4(tmpresp1,tmpresp2,tmpresp3,tmpresp4); + if (Dbit28p2(opnd1p2)) { + /* Fourword_add should be an ADD followed by 3 ADDC's */ + Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4, + opnd2p1<<3 | opnd2p2>>29, opnd2p2<<3, 0, 0); + } + if (Dbit29p2(opnd1p2)) { + Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4, + opnd2p1<<2 | opnd2p2>>30, opnd2p2<<2, 0, 0); + } + if (Dbit30p2(opnd1p2)) { + Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4, + opnd2p1<<1 | opnd2p2>>31, opnd2p2<<1, 0, 0); + } + if (Dbit31p2(opnd1p2)) { + Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4, + opnd2p1, opnd2p2, 0, 0); + } + Dbl_rightshiftby4(opnd1p1,opnd1p2); + } + if (Is_dexthiddenoverflow(tmpresp1)) { + /* result mantissa >= 2 (mantissa overflow) */ + mpy_exponent++; + Dblext_rightshiftby1(tmpresp1,tmpresp2,tmpresp3,tmpresp4); + } + + /* + * Restore the sign of the mpy result which was saved in resultp1. + * The exponent will continue to be kept in mpy_exponent. + */ + Dblext_set_sign(tmpresp1,Dbl_sign(resultp1)); + + /* + * No rounding is required, since the result of the multiply + * is exact in the extended format. + */ + + /* + * Now we are ready to perform the add portion of the operation. + * + * The exponents need to be kept as integers for now, since the + * multiply result might not fit into the exponent field. We + * can't overflow or underflow because of this yet, since the + * add could bring the final result back into range. + */ + add_exponent = Dbl_exponent(opnd3p1); + + /* + * Check for denormalized or zero add operand. + */ + if (add_exponent == 0) { + /* check for zero */ + if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) { + /* right is zero */ + /* Left can't be zero and must be result. + * + * The final result is now in tmpres and mpy_exponent, + * and needs to be rounded and squeezed back into + * double precision format from double extended. + */ + result_exponent = mpy_exponent; + Dblext_copy(tmpresp1,tmpresp2,tmpresp3,tmpresp4, + resultp1,resultp2,resultp3,resultp4); + sign_save = Dbl_signextendedsign(resultp1);/*save sign*/ + goto round; + } + + /* + * Neither are zeroes. + * Adjust exponent and normalize add operand. + */ + sign_save = Dbl_signextendedsign(opnd3p1); /* save sign */ + Dbl_clear_signexponent(opnd3p1); + Dbl_leftshiftby1(opnd3p1,opnd3p2); + Dbl_normalize(opnd3p1,opnd3p2,add_exponent); + Dbl_set_sign(opnd3p1,sign_save); /* restore sign */ + } else { + Dbl_clear_exponent_set_hidden(opnd3p1); + } + /* + * Copy opnd3 to the double extended variable called right. + */ + Dbl_copyto_dblext(opnd3p1,opnd3p2,rightp1,rightp2,rightp3,rightp4); + + /* + * A zero "save" helps discover equal operands (for later), + * and is used in swapping operands (if needed). + */ + Dblext_xortointp1(tmpresp1,rightp1,/*to*/save); + + /* + * Compare magnitude of operands. + */ + Dblext_copytoint_exponentmantissap1(tmpresp1,signlessleft1); + Dblext_copytoint_exponentmantissap1(rightp1,signlessright1); + if (mpy_exponent < add_exponent || mpy_exponent == add_exponent && + Dblext_ismagnitudeless(tmpresp2,rightp2,signlessleft1,signlessright1)){ + /* + * Set the left operand to the larger one by XOR swap. + * First finish the first word "save". + */ + Dblext_xorfromintp1(save,rightp1,/*to*/rightp1); + Dblext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1); + Dblext_swap_lower(tmpresp2,tmpresp3,tmpresp4, + rightp2,rightp3,rightp4); + /* also setup exponents used in rest of routine */ + diff_exponent = add_exponent - mpy_exponent; + result_exponent = add_exponent; + } else { + /* also setup exponents used in rest of routine */ + diff_exponent = mpy_exponent - add_exponent; + result_exponent = mpy_exponent; + } + /* Invariant: left is not smaller than right. */ + + /* + * Special case alignment of operands that would force alignment + * beyond the extent of the extension. A further optimization + * could special case this but only reduces the path length for + * this infrequent case. + */ + if (diff_exponent > DBLEXT_THRESHOLD) { + diff_exponent = DBLEXT_THRESHOLD; + } + + /* Align right operand by shifting it to the right */ + Dblext_clear_sign(rightp1); + Dblext_right_align(rightp1,rightp2,rightp3,rightp4, + /*shifted by*/diff_exponent); + + /* Treat sum and difference of the operands separately. */ + if ((int)save < 0) { + /* + * Difference of the two operands. Overflow can occur if the + * multiply overflowed. A borrow can occur out of the hidden + * bit and force a post normalization phase. + */ + Dblext_subtract(tmpresp1,tmpresp2,tmpresp3,tmpresp4, + rightp1,rightp2,rightp3,rightp4, + resultp1,resultp2,resultp3,resultp4); + sign_save = Dbl_signextendedsign(resultp1); + if (Dbl_iszero_hidden(resultp1)) { + /* Handle normalization */ + /* A straightforward algorithm would now shift the + * result and extension left until the hidden bit + * becomes one. Not all of the extension bits need + * participate in the shift. Only the two most + * significant bits (round and guard) are needed. + * If only a single shift is needed then the guard + * bit becomes a significant low order bit and the + * extension must participate in the rounding. + * If more than a single shift is needed, then all + * bits to the right of the guard bit are zeros, + * and the guard bit may or may not be zero. */ + Dblext_leftshiftby1(resultp1,resultp2,resultp3, + resultp4); + + /* Need to check for a zero result. The sign and + * exponent fields have already been zeroed. The more + * efficient test of the full object can be used. + */ + if (Dblext_iszero(resultp1,resultp2,resultp3,resultp4)) { + /* Must have been "x-x" or "x+(-x)". */ + if (Is_rounding_mode(ROUNDMINUS)) + Dbl_setone_sign(resultp1); + Dbl_copytoptr(resultp1,resultp2,dstptr); + return(NOEXCEPTION); + } + result_exponent--; + + /* Look to see if normalization is finished. */ + if (Dbl_isone_hidden(resultp1)) { + /* No further normalization is needed */ + goto round; + } + + /* Discover first one bit to determine shift amount. + * Use a modified binary search. We have already + * shifted the result one position right and still + * not found a one so the remainder of the extension + * must be zero and simplifies rounding. */ + /* Scan bytes */ + while (Dbl_iszero_hiddenhigh7mantissa(resultp1)) { + Dblext_leftshiftby8(resultp1,resultp2,resultp3,resultp4); + result_exponent -= 8; + } + /* Now narrow it down to the nibble */ + if (Dbl_iszero_hiddenhigh3mantissa(resultp1)) { + /* The lower nibble contains the + * normalizing one */ + Dblext_leftshiftby4(resultp1,resultp2,resultp3,resultp4); + result_exponent -= 4; + } + /* Select case where first bit is set (already + * normalized) otherwise select the proper shift. */ + jumpsize = Dbl_hiddenhigh3mantissa(resultp1); + if (jumpsize <= 7) switch(jumpsize) { + case 1: + Dblext_leftshiftby3(resultp1,resultp2,resultp3, + resultp4); + result_exponent -= 3; + break; + case 2: + case 3: + Dblext_leftshiftby2(resultp1,resultp2,resultp3, + resultp4); + result_exponent -= 2; + break; + case 4: + case 5: + case 6: + case 7: + Dblext_leftshiftby1(resultp1,resultp2,resultp3, + resultp4); + result_exponent -= 1; + break; + } + } /* end if (hidden...)... */ + /* Fall through and round */ + } /* end if (save < 0)... */ + else { + /* Add magnitudes */ + Dblext_addition(tmpresp1,tmpresp2,tmpresp3,tmpresp4, + rightp1,rightp2,rightp3,rightp4, + /*to*/resultp1,resultp2,resultp3,resultp4); + sign_save = Dbl_signextendedsign(resultp1); + if (Dbl_isone_hiddenoverflow(resultp1)) { + /* Prenormalization required. */ + Dblext_arithrightshiftby1(resultp1,resultp2,resultp3, + resultp4); + result_exponent++; + } /* end if hiddenoverflow... */ + } /* end else ...add magnitudes... */ + + /* Round the result. If the extension and lower two words are + * all zeros, then the result is exact. Otherwise round in the + * correct direction. Underflow is possible. If a postnormalization + * is necessary, then the mantissa is all zeros so no shift is needed. + */ + round: + if (result_exponent <= 0 && !Is_underflowtrap_enabled()) { + Dblext_denormalize(resultp1,resultp2,resultp3,resultp4, + result_exponent,is_tiny); + } + Dbl_set_sign(resultp1,/*using*/sign_save); + if (Dblext_isnotzero_mantissap3(resultp3) || + Dblext_isnotzero_mantissap4(resultp4)) { + inexact = TRUE; + switch(Rounding_mode()) { + case ROUNDNEAREST: /* The default. */ + if (Dblext_isone_highp3(resultp3)) { + /* at least 1/2 ulp */ + if (Dblext_isnotzero_low31p3(resultp3) || + Dblext_isnotzero_mantissap4(resultp4) || + Dblext_isone_lowp2(resultp2)) { + /* either exactly half way and odd or + * more than 1/2ulp */ + Dbl_increment(resultp1,resultp2); + } + } + break; + + case ROUNDPLUS: + if (Dbl_iszero_sign(resultp1)) { + /* Round up positive results */ + Dbl_increment(resultp1,resultp2); + } + break; + + case ROUNDMINUS: + if (Dbl_isone_sign(resultp1)) { + /* Round down negative results */ + Dbl_increment(resultp1,resultp2); + } + + case ROUNDZERO:; + /* truncate is simple */ + } /* end switch... */ + if (Dbl_isone_hiddenoverflow(resultp1)) result_exponent++; + } + if (result_exponent >= DBL_INFINITY_EXPONENT) { + /* Overflow */ + if (Is_overflowtrap_enabled()) { + /* + * Adjust bias of result + */ + Dbl_setwrapped_exponent(resultp1,result_exponent,ovfl); + Dbl_copytoptr(resultp1,resultp2,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) + return (OPC_2E_OVERFLOWEXCEPTION | + OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return (OPC_2E_OVERFLOWEXCEPTION); + } + inexact = TRUE; + Set_overflowflag(); + Dbl_setoverflow(resultp1,resultp2); + } else if (result_exponent <= 0) { /* underflow case */ + if (Is_underflowtrap_enabled()) { + /* + * Adjust bias of result + */ + Dbl_setwrapped_exponent(resultp1,result_exponent,unfl); + Dbl_copytoptr(resultp1,resultp2,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) + return (OPC_2E_UNDERFLOWEXCEPTION | + OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return(OPC_2E_UNDERFLOWEXCEPTION); + } + else if (inexact && is_tiny) Set_underflowflag(); + } + else Dbl_set_exponent(resultp1,result_exponent); + Dbl_copytoptr(resultp1,resultp2,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return(NOEXCEPTION); +} + +/* + * Single Floating-point Multiply Fused Add + */ + +sgl_fmpyfadd(src1ptr,src2ptr,src3ptr,status,dstptr) + +sgl_floating_point *src1ptr, *src2ptr, *src3ptr, *dstptr; +unsigned int *status; +{ + unsigned int opnd1, opnd2, opnd3; + register unsigned int tmpresp1, tmpresp2; + unsigned int rightp1, rightp2; + unsigned int resultp1, resultp2 = 0; + register int mpy_exponent, add_exponent, count; + boolean inexact = FALSE, is_tiny = FALSE; + + unsigned int signlessleft1, signlessright1, save; + register int result_exponent, diff_exponent; + int sign_save, jumpsize; + + Sgl_copyfromptr(src1ptr,opnd1); + Sgl_copyfromptr(src2ptr,opnd2); + Sgl_copyfromptr(src3ptr,opnd3); + + /* + * set sign bit of result of multiply + */ + if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) + Sgl_setnegativezero(resultp1); + else Sgl_setzero(resultp1); + + /* + * Generate multiply exponent + */ + mpy_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS; + + /* + * check first operand for NaN's or infinity + */ + if (Sgl_isinfinity_exponent(opnd1)) { + if (Sgl_iszero_mantissa(opnd1)) { + if (Sgl_isnotnan(opnd2) && Sgl_isnotnan(opnd3)) { + if (Sgl_iszero_exponentmantissa(opnd2)) { + /* + * invalid since operands are infinity + * and zero + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Sgl_makequietnan(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + /* + * Check third operand for infinity with a + * sign opposite of the multiply result + */ + if (Sgl_isinfinity(opnd3) && + (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) { + /* + * invalid since attempting a magnitude + * subtraction of infinities + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Sgl_makequietnan(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + + /* + * return infinity + */ + Sgl_setinfinity_exponentmantissa(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + } + else { + /* + * is NaN; signaling or quiet? + */ + if (Sgl_isone_signaling(opnd1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd1); + } + /* + * is second operand a signaling NaN? + */ + else if (Sgl_is_signalingnan(opnd2)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd2); + Sgl_copytoptr(opnd2,dstptr); + return(NOEXCEPTION); + } + /* + * is third operand a signaling NaN? + */ + else if (Sgl_is_signalingnan(opnd3)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd3); + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } + /* + * return quiet NaN + */ + Sgl_copytoptr(opnd1,dstptr); + return(NOEXCEPTION); + } + } + + /* + * check second operand for NaN's or infinity + */ + if (Sgl_isinfinity_exponent(opnd2)) { + if (Sgl_iszero_mantissa(opnd2)) { + if (Sgl_isnotnan(opnd3)) { + if (Sgl_iszero_exponentmantissa(opnd1)) { + /* + * invalid since multiply operands are + * zero & infinity + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Sgl_makequietnan(opnd2); + Sgl_copytoptr(opnd2,dstptr); + return(NOEXCEPTION); + } + + /* + * Check third operand for infinity with a + * sign opposite of the multiply result + */ + if (Sgl_isinfinity(opnd3) && + (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) { + /* + * invalid since attempting a magnitude + * subtraction of infinities + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Sgl_makequietnan(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + + /* + * return infinity + */ + Sgl_setinfinity_exponentmantissa(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + } + else { + /* + * is NaN; signaling or quiet? + */ + if (Sgl_isone_signaling(opnd2)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd2); + } + /* + * is third operand a signaling NaN? + */ + else if (Sgl_is_signalingnan(opnd3)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd3); + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } + /* + * return quiet NaN + */ + Sgl_copytoptr(opnd2,dstptr); + return(NOEXCEPTION); + } + } + + /* + * check third operand for NaN's or infinity + */ + if (Sgl_isinfinity_exponent(opnd3)) { + if (Sgl_iszero_mantissa(opnd3)) { + /* return infinity */ + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } else { + /* + * is NaN; signaling or quiet? + */ + if (Sgl_isone_signaling(opnd3)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd3); + } + /* + * return quiet NaN + */ + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } + } + + /* + * Generate multiply mantissa + */ + if (Sgl_isnotzero_exponent(opnd1)) { + /* set hidden bit */ + Sgl_clear_signexponent_set_hidden(opnd1); + } + else { + /* check for zero */ + if (Sgl_iszero_mantissa(opnd1)) { + /* + * Perform the add opnd3 with zero here. + */ + if (Sgl_iszero_exponentmantissa(opnd3)) { + if (Is_rounding_mode(ROUNDMINUS)) { + Sgl_or_signs(opnd3,resultp1); + } else { + Sgl_and_signs(opnd3,resultp1); + } + } + /* + * Now let's check for trapped underflow case. + */ + else if (Sgl_iszero_exponent(opnd3) && + Is_underflowtrap_enabled()) { + /* need to normalize results mantissa */ + sign_save = Sgl_signextendedsign(opnd3); + result_exponent = 0; + Sgl_leftshiftby1(opnd3); + Sgl_normalize(opnd3,result_exponent); + Sgl_set_sign(opnd3,/*using*/sign_save); + Sgl_setwrapped_exponent(opnd3,result_exponent, + unfl); + Sgl_copytoptr(opnd3,dstptr); + /* inexact = FALSE */ + return(OPC_2E_UNDERFLOWEXCEPTION); + } + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } + /* is denormalized, adjust exponent */ + Sgl_clear_signexponent(opnd1); + Sgl_leftshiftby1(opnd1); + Sgl_normalize(opnd1,mpy_exponent); + } + /* opnd2 needs to have hidden bit set with msb in hidden bit */ + if (Sgl_isnotzero_exponent(opnd2)) { + Sgl_clear_signexponent_set_hidden(opnd2); + } + else { + /* check for zero */ + if (Sgl_iszero_mantissa(opnd2)) { + /* + * Perform the add opnd3 with zero here. + */ + if (Sgl_iszero_exponentmantissa(opnd3)) { + if (Is_rounding_mode(ROUNDMINUS)) { + Sgl_or_signs(opnd3,resultp1); + } else { + Sgl_and_signs(opnd3,resultp1); + } + } + /* + * Now let's check for trapped underflow case. + */ + else if (Sgl_iszero_exponent(opnd3) && + Is_underflowtrap_enabled()) { + /* need to normalize results mantissa */ + sign_save = Sgl_signextendedsign(opnd3); + result_exponent = 0; + Sgl_leftshiftby1(opnd3); + Sgl_normalize(opnd3,result_exponent); + Sgl_set_sign(opnd3,/*using*/sign_save); + Sgl_setwrapped_exponent(opnd3,result_exponent, + unfl); + Sgl_copytoptr(opnd3,dstptr); + /* inexact = FALSE */ + return(OPC_2E_UNDERFLOWEXCEPTION); + } + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } + /* is denormalized; want to normalize */ + Sgl_clear_signexponent(opnd2); + Sgl_leftshiftby1(opnd2); + Sgl_normalize(opnd2,mpy_exponent); + } + + /* Multiply the first two source mantissas together */ + + /* + * The intermediate result will be kept in tmpres, + * which needs enough room for 106 bits of mantissa, + * so lets call it a Double extended. + */ + Sglext_setzero(tmpresp1,tmpresp2); + + /* + * Four bits at a time are inspected in each loop, and a + * simple shift and add multiply algorithm is used. + */ + for (count = SGL_P-1; count >= 0; count -= 4) { + Sglext_rightshiftby4(tmpresp1,tmpresp2); + if (Sbit28(opnd1)) { + /* Twoword_add should be an ADD followed by 2 ADDC's */ + Twoword_add(tmpresp1, tmpresp2, opnd2<<3, 0); + } + if (Sbit29(opnd1)) { + Twoword_add(tmpresp1, tmpresp2, opnd2<<2, 0); + } + if (Sbit30(opnd1)) { + Twoword_add(tmpresp1, tmpresp2, opnd2<<1, 0); + } + if (Sbit31(opnd1)) { + Twoword_add(tmpresp1, tmpresp2, opnd2, 0); + } + Sgl_rightshiftby4(opnd1); + } + if (Is_sexthiddenoverflow(tmpresp1)) { + /* result mantissa >= 2 (mantissa overflow) */ + mpy_exponent++; + Sglext_rightshiftby4(tmpresp1,tmpresp2); + } else { + Sglext_rightshiftby3(tmpresp1,tmpresp2); + } + + /* + * Restore the sign of the mpy result which was saved in resultp1. + * The exponent will continue to be kept in mpy_exponent. + */ + Sglext_set_sign(tmpresp1,Sgl_sign(resultp1)); + + /* + * No rounding is required, since the result of the multiply + * is exact in the extended format. + */ + + /* + * Now we are ready to perform the add portion of the operation. + * + * The exponents need to be kept as integers for now, since the + * multiply result might not fit into the exponent field. We + * can't overflow or underflow because of this yet, since the + * add could bring the final result back into range. + */ + add_exponent = Sgl_exponent(opnd3); + + /* + * Check for denormalized or zero add operand. + */ + if (add_exponent == 0) { + /* check for zero */ + if (Sgl_iszero_mantissa(opnd3)) { + /* right is zero */ + /* Left can't be zero and must be result. + * + * The final result is now in tmpres and mpy_exponent, + * and needs to be rounded and squeezed back into + * double precision format from double extended. + */ + result_exponent = mpy_exponent; + Sglext_copy(tmpresp1,tmpresp2,resultp1,resultp2); + sign_save = Sgl_signextendedsign(resultp1);/*save sign*/ + goto round; + } + + /* + * Neither are zeroes. + * Adjust exponent and normalize add operand. + */ + sign_save = Sgl_signextendedsign(opnd3); /* save sign */ + Sgl_clear_signexponent(opnd3); + Sgl_leftshiftby1(opnd3); + Sgl_normalize(opnd3,add_exponent); + Sgl_set_sign(opnd3,sign_save); /* restore sign */ + } else { + Sgl_clear_exponent_set_hidden(opnd3); + } + /* + * Copy opnd3 to the double extended variable called right. + */ + Sgl_copyto_sglext(opnd3,rightp1,rightp2); + + /* + * A zero "save" helps discover equal operands (for later), + * and is used in swapping operands (if needed). + */ + Sglext_xortointp1(tmpresp1,rightp1,/*to*/save); + + /* + * Compare magnitude of operands. + */ + Sglext_copytoint_exponentmantissa(tmpresp1,signlessleft1); + Sglext_copytoint_exponentmantissa(rightp1,signlessright1); + if (mpy_exponent < add_exponent || mpy_exponent == add_exponent && + Sglext_ismagnitudeless(signlessleft1,signlessright1)) { + /* + * Set the left operand to the larger one by XOR swap. + * First finish the first word "save". + */ + Sglext_xorfromintp1(save,rightp1,/*to*/rightp1); + Sglext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1); + Sglext_swap_lower(tmpresp2,rightp2); + /* also setup exponents used in rest of routine */ + diff_exponent = add_exponent - mpy_exponent; + result_exponent = add_exponent; + } else { + /* also setup exponents used in rest of routine */ + diff_exponent = mpy_exponent - add_exponent; + result_exponent = mpy_exponent; + } + /* Invariant: left is not smaller than right. */ + + /* + * Special case alignment of operands that would force alignment + * beyond the extent of the extension. A further optimization + * could special case this but only reduces the path length for + * this infrequent case. + */ + if (diff_exponent > SGLEXT_THRESHOLD) { + diff_exponent = SGLEXT_THRESHOLD; + } + + /* Align right operand by shifting it to the right */ + Sglext_clear_sign(rightp1); + Sglext_right_align(rightp1,rightp2,/*shifted by*/diff_exponent); + + /* Treat sum and difference of the operands separately. */ + if ((int)save < 0) { + /* + * Difference of the two operands. Overflow can occur if the + * multiply overflowed. A borrow can occur out of the hidden + * bit and force a post normalization phase. + */ + Sglext_subtract(tmpresp1,tmpresp2, rightp1,rightp2, + resultp1,resultp2); + sign_save = Sgl_signextendedsign(resultp1); + if (Sgl_iszero_hidden(resultp1)) { + /* Handle normalization */ + /* A straightforward algorithm would now shift the + * result and extension left until the hidden bit + * becomes one. Not all of the extension bits need + * participate in the shift. Only the two most + * significant bits (round and guard) are needed. + * If only a single shift is needed then the guard + * bit becomes a significant low order bit and the + * extension must participate in the rounding. + * If more than a single shift is needed, then all + * bits to the right of the guard bit are zeros, + * and the guard bit may or may not be zero. */ + Sglext_leftshiftby1(resultp1,resultp2); + + /* Need to check for a zero result. The sign and + * exponent fields have already been zeroed. The more + * efficient test of the full object can be used. + */ + if (Sglext_iszero(resultp1,resultp2)) { + /* Must have been "x-x" or "x+(-x)". */ + if (Is_rounding_mode(ROUNDMINUS)) + Sgl_setone_sign(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + result_exponent--; + + /* Look to see if normalization is finished. */ + if (Sgl_isone_hidden(resultp1)) { + /* No further normalization is needed */ + goto round; + } + + /* Discover first one bit to determine shift amount. + * Use a modified binary search. We have already + * shifted the result one position right and still + * not found a one so the remainder of the extension + * must be zero and simplifies rounding. */ + /* Scan bytes */ + while (Sgl_iszero_hiddenhigh7mantissa(resultp1)) { + Sglext_leftshiftby8(resultp1,resultp2); + result_exponent -= 8; + } + /* Now narrow it down to the nibble */ + if (Sgl_iszero_hiddenhigh3mantissa(resultp1)) { + /* The lower nibble contains the + * normalizing one */ + Sglext_leftshiftby4(resultp1,resultp2); + result_exponent -= 4; + } + /* Select case where first bit is set (already + * normalized) otherwise select the proper shift. */ + jumpsize = Sgl_hiddenhigh3mantissa(resultp1); + if (jumpsize <= 7) switch(jumpsize) { + case 1: + Sglext_leftshiftby3(resultp1,resultp2); + result_exponent -= 3; + break; + case 2: + case 3: + Sglext_leftshiftby2(resultp1,resultp2); + result_exponent -= 2; + break; + case 4: + case 5: + case 6: + case 7: + Sglext_leftshiftby1(resultp1,resultp2); + result_exponent -= 1; + break; + } + } /* end if (hidden...)... */ + /* Fall through and round */ + } /* end if (save < 0)... */ + else { + /* Add magnitudes */ + Sglext_addition(tmpresp1,tmpresp2, + rightp1,rightp2, /*to*/resultp1,resultp2); + sign_save = Sgl_signextendedsign(resultp1); + if (Sgl_isone_hiddenoverflow(resultp1)) { + /* Prenormalization required. */ + Sglext_arithrightshiftby1(resultp1,resultp2); + result_exponent++; + } /* end if hiddenoverflow... */ + } /* end else ...add magnitudes... */ + + /* Round the result. If the extension and lower two words are + * all zeros, then the result is exact. Otherwise round in the + * correct direction. Underflow is possible. If a postnormalization + * is necessary, then the mantissa is all zeros so no shift is needed. + */ + round: + if (result_exponent <= 0 && !Is_underflowtrap_enabled()) { + Sglext_denormalize(resultp1,resultp2,result_exponent,is_tiny); + } + Sgl_set_sign(resultp1,/*using*/sign_save); + if (Sglext_isnotzero_mantissap2(resultp2)) { + inexact = TRUE; + switch(Rounding_mode()) { + case ROUNDNEAREST: /* The default. */ + if (Sglext_isone_highp2(resultp2)) { + /* at least 1/2 ulp */ + if (Sglext_isnotzero_low31p2(resultp2) || + Sglext_isone_lowp1(resultp1)) { + /* either exactly half way and odd or + * more than 1/2ulp */ + Sgl_increment(resultp1); + } + } + break; + + case ROUNDPLUS: + if (Sgl_iszero_sign(resultp1)) { + /* Round up positive results */ + Sgl_increment(resultp1); + } + break; + + case ROUNDMINUS: + if (Sgl_isone_sign(resultp1)) { + /* Round down negative results */ + Sgl_increment(resultp1); + } + + case ROUNDZERO:; + /* truncate is simple */ + } /* end switch... */ + if (Sgl_isone_hiddenoverflow(resultp1)) result_exponent++; + } + if (result_exponent >= SGL_INFINITY_EXPONENT) { + /* Overflow */ + if (Is_overflowtrap_enabled()) { + /* + * Adjust bias of result + */ + Sgl_setwrapped_exponent(resultp1,result_exponent,ovfl); + Sgl_copytoptr(resultp1,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) + return (OPC_2E_OVERFLOWEXCEPTION | + OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return (OPC_2E_OVERFLOWEXCEPTION); + } + inexact = TRUE; + Set_overflowflag(); + Sgl_setoverflow(resultp1); + } else if (result_exponent <= 0) { /* underflow case */ + if (Is_underflowtrap_enabled()) { + /* + * Adjust bias of result + */ + Sgl_setwrapped_exponent(resultp1,result_exponent,unfl); + Sgl_copytoptr(resultp1,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) + return (OPC_2E_UNDERFLOWEXCEPTION | + OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return(OPC_2E_UNDERFLOWEXCEPTION); + } + else if (inexact && is_tiny) Set_underflowflag(); + } + else Sgl_set_exponent(resultp1,result_exponent); + Sgl_copytoptr(resultp1,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return(NOEXCEPTION); +} + +/* + * Single Floating-point Multiply Negate Fused Add + */ + +sgl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr) + +sgl_floating_point *src1ptr, *src2ptr, *src3ptr, *dstptr; +unsigned int *status; +{ + unsigned int opnd1, opnd2, opnd3; + register unsigned int tmpresp1, tmpresp2; + unsigned int rightp1, rightp2; + unsigned int resultp1, resultp2 = 0; + register int mpy_exponent, add_exponent, count; + boolean inexact = FALSE, is_tiny = FALSE; + + unsigned int signlessleft1, signlessright1, save; + register int result_exponent, diff_exponent; + int sign_save, jumpsize; + + Sgl_copyfromptr(src1ptr,opnd1); + Sgl_copyfromptr(src2ptr,opnd2); + Sgl_copyfromptr(src3ptr,opnd3); + + /* + * set sign bit of result of multiply + */ + if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) + Sgl_setzero(resultp1); + else + Sgl_setnegativezero(resultp1); + + /* + * Generate multiply exponent + */ + mpy_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS; + + /* + * check first operand for NaN's or infinity + */ + if (Sgl_isinfinity_exponent(opnd1)) { + if (Sgl_iszero_mantissa(opnd1)) { + if (Sgl_isnotnan(opnd2) && Sgl_isnotnan(opnd3)) { + if (Sgl_iszero_exponentmantissa(opnd2)) { + /* + * invalid since operands are infinity + * and zero + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Sgl_makequietnan(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + /* + * Check third operand for infinity with a + * sign opposite of the multiply result + */ + if (Sgl_isinfinity(opnd3) && + (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) { + /* + * invalid since attempting a magnitude + * subtraction of infinities + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Sgl_makequietnan(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + + /* + * return infinity + */ + Sgl_setinfinity_exponentmantissa(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + } + else { + /* + * is NaN; signaling or quiet? + */ + if (Sgl_isone_signaling(opnd1)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd1); + } + /* + * is second operand a signaling NaN? + */ + else if (Sgl_is_signalingnan(opnd2)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd2); + Sgl_copytoptr(opnd2,dstptr); + return(NOEXCEPTION); + } + /* + * is third operand a signaling NaN? + */ + else if (Sgl_is_signalingnan(opnd3)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd3); + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } + /* + * return quiet NaN + */ + Sgl_copytoptr(opnd1,dstptr); + return(NOEXCEPTION); + } + } + + /* + * check second operand for NaN's or infinity + */ + if (Sgl_isinfinity_exponent(opnd2)) { + if (Sgl_iszero_mantissa(opnd2)) { + if (Sgl_isnotnan(opnd3)) { + if (Sgl_iszero_exponentmantissa(opnd1)) { + /* + * invalid since multiply operands are + * zero & infinity + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Sgl_makequietnan(opnd2); + Sgl_copytoptr(opnd2,dstptr); + return(NOEXCEPTION); + } + + /* + * Check third operand for infinity with a + * sign opposite of the multiply result + */ + if (Sgl_isinfinity(opnd3) && + (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) { + /* + * invalid since attempting a magnitude + * subtraction of infinities + */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + Set_invalidflag(); + Sgl_makequietnan(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + + /* + * return infinity + */ + Sgl_setinfinity_exponentmantissa(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + } + else { + /* + * is NaN; signaling or quiet? + */ + if (Sgl_isone_signaling(opnd2)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd2); + } + /* + * is third operand a signaling NaN? + */ + else if (Sgl_is_signalingnan(opnd3)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd3); + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } + /* + * return quiet NaN + */ + Sgl_copytoptr(opnd2,dstptr); + return(NOEXCEPTION); + } + } + + /* + * check third operand for NaN's or infinity + */ + if (Sgl_isinfinity_exponent(opnd3)) { + if (Sgl_iszero_mantissa(opnd3)) { + /* return infinity */ + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } else { + /* + * is NaN; signaling or quiet? + */ + if (Sgl_isone_signaling(opnd3)) { + /* trap if INVALIDTRAP enabled */ + if (Is_invalidtrap_enabled()) + return(OPC_2E_INVALIDEXCEPTION); + /* make NaN quiet */ + Set_invalidflag(); + Sgl_set_quiet(opnd3); + } + /* + * return quiet NaN + */ + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } + } + + /* + * Generate multiply mantissa + */ + if (Sgl_isnotzero_exponent(opnd1)) { + /* set hidden bit */ + Sgl_clear_signexponent_set_hidden(opnd1); + } + else { + /* check for zero */ + if (Sgl_iszero_mantissa(opnd1)) { + /* + * Perform the add opnd3 with zero here. + */ + if (Sgl_iszero_exponentmantissa(opnd3)) { + if (Is_rounding_mode(ROUNDMINUS)) { + Sgl_or_signs(opnd3,resultp1); + } else { + Sgl_and_signs(opnd3,resultp1); + } + } + /* + * Now let's check for trapped underflow case. + */ + else if (Sgl_iszero_exponent(opnd3) && + Is_underflowtrap_enabled()) { + /* need to normalize results mantissa */ + sign_save = Sgl_signextendedsign(opnd3); + result_exponent = 0; + Sgl_leftshiftby1(opnd3); + Sgl_normalize(opnd3,result_exponent); + Sgl_set_sign(opnd3,/*using*/sign_save); + Sgl_setwrapped_exponent(opnd3,result_exponent, + unfl); + Sgl_copytoptr(opnd3,dstptr); + /* inexact = FALSE */ + return(OPC_2E_UNDERFLOWEXCEPTION); + } + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } + /* is denormalized, adjust exponent */ + Sgl_clear_signexponent(opnd1); + Sgl_leftshiftby1(opnd1); + Sgl_normalize(opnd1,mpy_exponent); + } + /* opnd2 needs to have hidden bit set with msb in hidden bit */ + if (Sgl_isnotzero_exponent(opnd2)) { + Sgl_clear_signexponent_set_hidden(opnd2); + } + else { + /* check for zero */ + if (Sgl_iszero_mantissa(opnd2)) { + /* + * Perform the add opnd3 with zero here. + */ + if (Sgl_iszero_exponentmantissa(opnd3)) { + if (Is_rounding_mode(ROUNDMINUS)) { + Sgl_or_signs(opnd3,resultp1); + } else { + Sgl_and_signs(opnd3,resultp1); + } + } + /* + * Now let's check for trapped underflow case. + */ + else if (Sgl_iszero_exponent(opnd3) && + Is_underflowtrap_enabled()) { + /* need to normalize results mantissa */ + sign_save = Sgl_signextendedsign(opnd3); + result_exponent = 0; + Sgl_leftshiftby1(opnd3); + Sgl_normalize(opnd3,result_exponent); + Sgl_set_sign(opnd3,/*using*/sign_save); + Sgl_setwrapped_exponent(opnd3,result_exponent, + unfl); + Sgl_copytoptr(opnd3,dstptr); + /* inexact = FALSE */ + return(OPC_2E_UNDERFLOWEXCEPTION); + } + Sgl_copytoptr(opnd3,dstptr); + return(NOEXCEPTION); + } + /* is denormalized; want to normalize */ + Sgl_clear_signexponent(opnd2); + Sgl_leftshiftby1(opnd2); + Sgl_normalize(opnd2,mpy_exponent); + } + + /* Multiply the first two source mantissas together */ + + /* + * The intermediate result will be kept in tmpres, + * which needs enough room for 106 bits of mantissa, + * so lets call it a Double extended. + */ + Sglext_setzero(tmpresp1,tmpresp2); + + /* + * Four bits at a time are inspected in each loop, and a + * simple shift and add multiply algorithm is used. + */ + for (count = SGL_P-1; count >= 0; count -= 4) { + Sglext_rightshiftby4(tmpresp1,tmpresp2); + if (Sbit28(opnd1)) { + /* Twoword_add should be an ADD followed by 2 ADDC's */ + Twoword_add(tmpresp1, tmpresp2, opnd2<<3, 0); + } + if (Sbit29(opnd1)) { + Twoword_add(tmpresp1, tmpresp2, opnd2<<2, 0); + } + if (Sbit30(opnd1)) { + Twoword_add(tmpresp1, tmpresp2, opnd2<<1, 0); + } + if (Sbit31(opnd1)) { + Twoword_add(tmpresp1, tmpresp2, opnd2, 0); + } + Sgl_rightshiftby4(opnd1); + } + if (Is_sexthiddenoverflow(tmpresp1)) { + /* result mantissa >= 2 (mantissa overflow) */ + mpy_exponent++; + Sglext_rightshiftby4(tmpresp1,tmpresp2); + } else { + Sglext_rightshiftby3(tmpresp1,tmpresp2); + } + + /* + * Restore the sign of the mpy result which was saved in resultp1. + * The exponent will continue to be kept in mpy_exponent. + */ + Sglext_set_sign(tmpresp1,Sgl_sign(resultp1)); + + /* + * No rounding is required, since the result of the multiply + * is exact in the extended format. + */ + + /* + * Now we are ready to perform the add portion of the operation. + * + * The exponents need to be kept as integers for now, since the + * multiply result might not fit into the exponent field. We + * can't overflow or underflow because of this yet, since the + * add could bring the final result back into range. + */ + add_exponent = Sgl_exponent(opnd3); + + /* + * Check for denormalized or zero add operand. + */ + if (add_exponent == 0) { + /* check for zero */ + if (Sgl_iszero_mantissa(opnd3)) { + /* right is zero */ + /* Left can't be zero and must be result. + * + * The final result is now in tmpres and mpy_exponent, + * and needs to be rounded and squeezed back into + * double precision format from double extended. + */ + result_exponent = mpy_exponent; + Sglext_copy(tmpresp1,tmpresp2,resultp1,resultp2); + sign_save = Sgl_signextendedsign(resultp1);/*save sign*/ + goto round; + } + + /* + * Neither are zeroes. + * Adjust exponent and normalize add operand. + */ + sign_save = Sgl_signextendedsign(opnd3); /* save sign */ + Sgl_clear_signexponent(opnd3); + Sgl_leftshiftby1(opnd3); + Sgl_normalize(opnd3,add_exponent); + Sgl_set_sign(opnd3,sign_save); /* restore sign */ + } else { + Sgl_clear_exponent_set_hidden(opnd3); + } + /* + * Copy opnd3 to the double extended variable called right. + */ + Sgl_copyto_sglext(opnd3,rightp1,rightp2); + + /* + * A zero "save" helps discover equal operands (for later), + * and is used in swapping operands (if needed). + */ + Sglext_xortointp1(tmpresp1,rightp1,/*to*/save); + + /* + * Compare magnitude of operands. + */ + Sglext_copytoint_exponentmantissa(tmpresp1,signlessleft1); + Sglext_copytoint_exponentmantissa(rightp1,signlessright1); + if (mpy_exponent < add_exponent || mpy_exponent == add_exponent && + Sglext_ismagnitudeless(signlessleft1,signlessright1)) { + /* + * Set the left operand to the larger one by XOR swap. + * First finish the first word "save". + */ + Sglext_xorfromintp1(save,rightp1,/*to*/rightp1); + Sglext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1); + Sglext_swap_lower(tmpresp2,rightp2); + /* also setup exponents used in rest of routine */ + diff_exponent = add_exponent - mpy_exponent; + result_exponent = add_exponent; + } else { + /* also setup exponents used in rest of routine */ + diff_exponent = mpy_exponent - add_exponent; + result_exponent = mpy_exponent; + } + /* Invariant: left is not smaller than right. */ + + /* + * Special case alignment of operands that would force alignment + * beyond the extent of the extension. A further optimization + * could special case this but only reduces the path length for + * this infrequent case. + */ + if (diff_exponent > SGLEXT_THRESHOLD) { + diff_exponent = SGLEXT_THRESHOLD; + } + + /* Align right operand by shifting it to the right */ + Sglext_clear_sign(rightp1); + Sglext_right_align(rightp1,rightp2,/*shifted by*/diff_exponent); + + /* Treat sum and difference of the operands separately. */ + if ((int)save < 0) { + /* + * Difference of the two operands. Overflow can occur if the + * multiply overflowed. A borrow can occur out of the hidden + * bit and force a post normalization phase. + */ + Sglext_subtract(tmpresp1,tmpresp2, rightp1,rightp2, + resultp1,resultp2); + sign_save = Sgl_signextendedsign(resultp1); + if (Sgl_iszero_hidden(resultp1)) { + /* Handle normalization */ + /* A straightforward algorithm would now shift the + * result and extension left until the hidden bit + * becomes one. Not all of the extension bits need + * participate in the shift. Only the two most + * significant bits (round and guard) are needed. + * If only a single shift is needed then the guard + * bit becomes a significant low order bit and the + * extension must participate in the rounding. + * If more than a single shift is needed, then all + * bits to the right of the guard bit are zeros, + * and the guard bit may or may not be zero. */ + Sglext_leftshiftby1(resultp1,resultp2); + + /* Need to check for a zero result. The sign and + * exponent fields have already been zeroed. The more + * efficient test of the full object can be used. + */ + if (Sglext_iszero(resultp1,resultp2)) { + /* Must have been "x-x" or "x+(-x)". */ + if (Is_rounding_mode(ROUNDMINUS)) + Sgl_setone_sign(resultp1); + Sgl_copytoptr(resultp1,dstptr); + return(NOEXCEPTION); + } + result_exponent--; + + /* Look to see if normalization is finished. */ + if (Sgl_isone_hidden(resultp1)) { + /* No further normalization is needed */ + goto round; + } + + /* Discover first one bit to determine shift amount. + * Use a modified binary search. We have already + * shifted the result one position right and still + * not found a one so the remainder of the extension + * must be zero and simplifies rounding. */ + /* Scan bytes */ + while (Sgl_iszero_hiddenhigh7mantissa(resultp1)) { + Sglext_leftshiftby8(resultp1,resultp2); + result_exponent -= 8; + } + /* Now narrow it down to the nibble */ + if (Sgl_iszero_hiddenhigh3mantissa(resultp1)) { + /* The lower nibble contains the + * normalizing one */ + Sglext_leftshiftby4(resultp1,resultp2); + result_exponent -= 4; + } + /* Select case where first bit is set (already + * normalized) otherwise select the proper shift. */ + jumpsize = Sgl_hiddenhigh3mantissa(resultp1); + if (jumpsize <= 7) switch(jumpsize) { + case 1: + Sglext_leftshiftby3(resultp1,resultp2); + result_exponent -= 3; + break; + case 2: + case 3: + Sglext_leftshiftby2(resultp1,resultp2); + result_exponent -= 2; + break; + case 4: + case 5: + case 6: + case 7: + Sglext_leftshiftby1(resultp1,resultp2); + result_exponent -= 1; + break; + } + } /* end if (hidden...)... */ + /* Fall through and round */ + } /* end if (save < 0)... */ + else { + /* Add magnitudes */ + Sglext_addition(tmpresp1,tmpresp2, + rightp1,rightp2, /*to*/resultp1,resultp2); + sign_save = Sgl_signextendedsign(resultp1); + if (Sgl_isone_hiddenoverflow(resultp1)) { + /* Prenormalization required. */ + Sglext_arithrightshiftby1(resultp1,resultp2); + result_exponent++; + } /* end if hiddenoverflow... */ + } /* end else ...add magnitudes... */ + + /* Round the result. If the extension and lower two words are + * all zeros, then the result is exact. Otherwise round in the + * correct direction. Underflow is possible. If a postnormalization + * is necessary, then the mantissa is all zeros so no shift is needed. + */ + round: + if (result_exponent <= 0 && !Is_underflowtrap_enabled()) { + Sglext_denormalize(resultp1,resultp2,result_exponent,is_tiny); + } + Sgl_set_sign(resultp1,/*using*/sign_save); + if (Sglext_isnotzero_mantissap2(resultp2)) { + inexact = TRUE; + switch(Rounding_mode()) { + case ROUNDNEAREST: /* The default. */ + if (Sglext_isone_highp2(resultp2)) { + /* at least 1/2 ulp */ + if (Sglext_isnotzero_low31p2(resultp2) || + Sglext_isone_lowp1(resultp1)) { + /* either exactly half way and odd or + * more than 1/2ulp */ + Sgl_increment(resultp1); + } + } + break; + + case ROUNDPLUS: + if (Sgl_iszero_sign(resultp1)) { + /* Round up positive results */ + Sgl_increment(resultp1); + } + break; + + case ROUNDMINUS: + if (Sgl_isone_sign(resultp1)) { + /* Round down negative results */ + Sgl_increment(resultp1); + } + + case ROUNDZERO:; + /* truncate is simple */ + } /* end switch... */ + if (Sgl_isone_hiddenoverflow(resultp1)) result_exponent++; + } + if (result_exponent >= SGL_INFINITY_EXPONENT) { + /* Overflow */ + if (Is_overflowtrap_enabled()) { + /* + * Adjust bias of result + */ + Sgl_setwrapped_exponent(resultp1,result_exponent,ovfl); + Sgl_copytoptr(resultp1,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) + return (OPC_2E_OVERFLOWEXCEPTION | + OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return (OPC_2E_OVERFLOWEXCEPTION); + } + inexact = TRUE; + Set_overflowflag(); + Sgl_setoverflow(resultp1); + } else if (result_exponent <= 0) { /* underflow case */ + if (Is_underflowtrap_enabled()) { + /* + * Adjust bias of result + */ + Sgl_setwrapped_exponent(resultp1,result_exponent,unfl); + Sgl_copytoptr(resultp1,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) + return (OPC_2E_UNDERFLOWEXCEPTION | + OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return(OPC_2E_UNDERFLOWEXCEPTION); + } + else if (inexact && is_tiny) Set_underflowflag(); + } + else Sgl_set_exponent(resultp1,result_exponent); + Sgl_copytoptr(resultp1,dstptr); + if (inexact) + if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION); + else Set_inexactflag(); + return(NOEXCEPTION); +} + |