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-SECTION 1 FLOATING POINT SOFTWARE PACKAGE TERMS.
-
-From: Microprocessor & Memory Technologies Group
- Semiconductor Products Sector
- 6501 William Cannon Drive West,
- Mail Station OE33, Austin, Texas 78735-8598
-
-To: FLOATING POINT SOFTWARE PACKAGE USERS
-
-Date: August 27, 1993
-
-
-1.1 TITLE TO FLOATING POINT SOFTWARE PACKAGE FPSP
-
-Title to the 68040 Floating Point Software Package, all copies
-thereof (in whole or in part and in any form), and all rights
-therein, including all rights in patents, and copyrights,
-applicable thereto, shall remain vested in MOTOROLA. All
-rights, title and interest in the resulting modifications belong
-to MOTOROLA except where such modifications (a) are made
-solely for use with computer systems manufactured or
-distributed by user; (b) are themselves copyrightable; and (c)
-would not constitute a copyright infringement if not licensed
-hereunder.
-
-
-1.2 DISCLAIMER OF WARRANTY.
-
-THE 68040 FLOATING POINT SOFTWARE PACKAGE is provided on an
-"AS IS" basis and without other warranty except as stated herein.
-
-IN NO EVENT SHALL MOTOROLA BE LIABLE FOR INCIDENTAL OR
-CONSEQUENTIAL DAMAGES ARISING FROM USE OF THE 68040
-FLOATING POINT SOFTWARE PACKAGE. THIS DISCLAIMER OF
-WARRANTY EXTENDS TO ALL USERS OF THE THE 68040 FLOATING
-POINT SOFTWARE PACKAGE AND IS IN LIEU OF ALL WARRANTIES
-WHETHER EXPRESS, IMPLIED, OR STATUTORY, INCLUDING
-IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR
-PARTICULAR PURPOSE.
-
-
-SECTION 2 Release 2.3 Errata
-
-As of this release, the following may be considered an
-errata of the 040 (Mask 20D43B Mask 4D50D and Mask 5D98D) FPSP:
-
- 1. INEX1 reported by inexact conversion of packed source
- operand for a dyadic instruction will not be reported
- by the 040 upon completion of that instruction. This
- errata corresponds to errata "F5" on the 68040 Errata Sheet.
- Fixed in D98D.
-
- 2. FREM and FMOD with packed operands will occasionally
- differ from the 881/2 results by one ulp in the conversion
- of the packed source operand.
-
- 3. INEX2/AINEX are not calculated in the same manner as in the
- 881/882 for some cases in which the result is overflowed.
- Currently, if the operation was an integer move-out, INEX2/AINEX
- is not set for any case.
- In some cases of fscale with integer input, the INEX2 bit will not
- be set on inex calculation.
- Under extended rounding precision, FSCALE results which underflow
- and are inexact may be incorrectly rounded. Inaddition, INEX2
- is not signaled in these cases.
-
- 4. If an Fmove FPn,FPM(this also applies to the FNEG and FABS), is preceded by any floating point operation with a denorm source operand , the FMOVE
- destination (FPm) is incorrectly tagged and may result in silent data
- corruption. A software fix in release 2.2.
-
-
-
-SECTION 3 Software Specification for an MC68040 Floating-
- Point Software Package
-
-The purpose of this section is to provide an overview of
-the floating-point software package (FPSP) for the
-MC68040. The FPSP emulates the floating-point
-instructions of the MC68881/MC68882 which are not provided
-by the MC68040.
-
-
-3.1 DEFINITIONS, ACRONYMS, AND ABBREVIATIONS
-
-FPn - Floating-Point Data Register Source
-FPSP - Floating-Point Software Package
-FPU - Floating-Point Unit
-FPx - Floating-Point Data Register
-See the Glossary of Reference 1 for additional
-definitions.
-
-
-3.2 PRODUCT OVERVIEW
-
-The FPSP adds additional floating-point capabilities to
-the MC68040. A subset of the MC6888x instruction set is
-executed by the MC68040 on-chip FPU. The remaining
-floating-point instructions are emulated in software by
-the FPSP (see Reference 2). There are two types of FPSP:
-one for applications compiled for the MC68881/MC68882 and
-another for applications compiled for the MC68040 (see
-3.8.2 Packaging).
-
-The FPSP provides:
-* Arithmetic and Transcendental Instructions
-* Decimal Conversions
-* Exception Handlers
-* MC68040 Unimplemented Data Type and Data Format Handlers
-There are two types of users: 1) end users who are running
-applications and 2) system integrators who will install
-the package (see 3.8.3 Site Adaptations).
-
-
-3.3 GENERAL CONSTRAINTS
-
-The FPSP satisfies the requirements of the ANSI IEEE
-Standard for Binary Floating-Point Arithmetic 754. The
-FPSP runs old user code unchanged and is transparent for
-old code. The FPSP is easy to modify and install. The
-performance of the transcendental function routines is
-equivalent or superior to that of a 33-MHz
-MC68881/MC68882. The error bound is equivalent or
-superior to the MC68881/MC68882 (see 3.7.2 Accuracy).
-
-
-3.4 ASSUMPTIONS AND DEPENDENCIES
-
-The FPSP can be installed into any operating system. The
-MC68040 FPU shall be implemented as described in Reference
-2. Table 3-1 Lists the functions provided by the MC68040.
-
-
-3.5.2 Exceptions
-
-The main goal of the FPSP exception handlers is to provide
-the user with an easy path to port over existing MC68882
-exception handlers for use with the MC68040. The end
-result is that the FPSP provides an entry point so that
-once this point is reached, there is an indication that
-an IEEE-defined trap condition exist.
-
-
-3.5.2.1 BSUN Ñ BRANCH/SET ON UNORDERED.
-
-On a trap-enabled condition, the FPSP updates the floating-point
-instruction address register (FPIAR) by copying the PC
-value in the pre-instruction stack frame to the FPIAR.
-Once this is done, the exceptional frame is restored
-without clearing the exception, and the program flow goes
-to the FPSP provided entry point. At the entry point the
-MC68040 is in an exceptional state, ready to execute the
-user-supplied exception handler.
-
-
-3.5.2.2 SNAN Ñ SIGNALING NOT-A-NUMBER.
-
-On a trap-disabled condition, and if the destination format is B,
-W,or L, then the FPSP stores the most significant 8, 16, or
-32 bits, respectively, of the SNAN mantissa, with the SNAN
-bit set, to the destination. The FPSP discards the
-exceptional frame, then returns to the main program flow
-without entering the FPSP provided entry point, hence the
-user-provided exception handler is not executed.
-
-On a trap-enabled condition, the FPSP checks if the
-destination format is B, W, or L. Then, the FPSP stores
-the most significant 8, 16, or 32 bits, respectively, of
-the SNAN mantissa, with the SNAN bit set, to the
-destination. The FPSP then restores the exceptional frame
-without clearing the exception, and branches to the FPSP
-provided entry point. At the entry point, the MC68040 is
-in an exceptional state, ready to execute the user-
-supplied exception handler.
-
-
-3.5.2.3 OPERR Ñ OPERAND ERROR.
-
-This exception traps through vector number 52.
-Table 3-3 shows the operand errors generated by the MC68040.
-Table 3-4 shows the operand errors generated by the FPSP.
-Note that the FPSP Unimplemented Instruction Handler
-detects and adds to the cases in which OPERR exceptions
-occur. Refer to Table 3-4 for these specific exception-
-causing conditions.
-
-On a trap-disabled condition, the FPSP checks if the
-operand error is caused by an FMOVE to a B, W, or L memory
-or integer data register destination. If it is caused by
-an integer overflow or if the floating-point data register
-to be stored contains infinity, the FPSP stores the
-largest positive or negative integer that can fit in the
-specified destination format size. If the destination is
-integer and the floating-point number to be stored is a
-NAN, then the 8, 16, or 32 most significant bits of the
-NAN significand is stored as a result.
-Next the FPSP checks for a false OPERR condition for an
-FMOVE to memory or integer data register. This condition
-occurs if the operand is equal to the largest negative
-integer representable in its format. The FPSP then stores
-the proper result, discards the exceptional frame, and
-returns to the main program flow without executing the
-user-supplied exception handler.
-
-On a trap-enabled condition, the FPSP does the same
-functions as the above trap-disabled condition, with the
-exception that in the end, the FPSP restores the
-exceptional frame without clearing the exception and
-branches to the FPSP supplied entry point instead of
-returning to the main program flow. At the FPSP supplied
-entry point, the MC68040 is in an exceptional state, ready
-to execute the user-supplied exception handler.
-
-
-
-3.5.2.4 OVFL Ñ OVERFLOW.
-
-This exception traps through vector number 53.
-
-On a trap-disabled case, the FPSP stores the result in the
-destination as determined by the rounding mode at the
-destination as follows:
-
-Rounding Mode Result
- RN Infinity, with the sign of the intermediate result
- RZ Largest magnitude number, with the sign of the
- intermediate result.
- RM For positive overflow, largest positive
- number
- For negative overflow, infinity
- RP For positive overflow, infinity
- For negative overflow, largest negative
- number
-
-The FPSP then clears the appropriate exception bit in
-the frame and restores the non-exceptional frame into
-the MC68040, and then returns to the main program flow.
-
-On a trap-enabled case, the FPSP actions are identical to
-those found in the trap-disabled case, with the exception
-that instead of restoring a non-exceptional frame, the
-original exceptional frame is restored to the MC68040 and
-the FPSP branches to the FPSP supplied entry point. At
-this entry point, the MC68040 is in an exceptional state,
-ready to execute the user-supplied exception handler.
-
-
-3.5.2.5 UNFL Ñ UNDERFLOW.
-
-This exception traps through vector number 51.
-
-On a trap-disabled case, the FPSP stores the result in the
-destination as determined by the rounding mode at the
-destination as follows:
-
- RN Zero with the sign of the intermediate result.
- RZ Zero with the sign of the intermediate result.
- RM For positive underflow, +zero. For negative
- underflow, the smallest denormalized
- negative number.
- RP For positive underflow, the smallest denormalized
- positive number. For negative underflow, -zero.
-
-The FPSP then clears the appropriate exception bit in the
-frame and restores the non-exceptional frame into the
-MC68040, and then returns to the main program flow.
-
-On a trap-enabled case, the FPSP actions are identical to
-those found in the trap-disabled case, with the exception
-that instead of restoring a non-exceptional frame, the
-original exceptional frame is restored to the MC68040 and
-the FPSP branches to the FPSP supplied entry point. At
-this entry point, the MC68040 is in an exceptional state,
-ready to execute the user-supplied exception handler.
-
-
-3.5.2.6 DZ Ñ DIVIDE BY ZERO.
-
-Note that the FPSP Unimplemented Instruction Handler detects
-and adds to the cases in which DZ exceptions occur. Refer to
-Table 3-5 for these specific exception-causing conditions.
-Table 3-6 lists the DZ exceptions generated by the MC68040.
-
-The FPSP is not needed for this exception. The user-
-supplied exception handler is always entered. A system
-call is provided by the FPSP to calculate the exceptional
-operand.
-
-
-3.5.2.7 INEX1/INEX2 Ñ INEXACT RESULT 1/2.
-
-Note that the FPSP Unimplemented Instruction Handler detects
-and allows INEX1 exceptions to occur. Furthermore, many new
-cases of INEX2 exceptions may be generated by the FPSP
-Unimplemented Instruction Handler as well. The INEX1
-exception traps into this handler as well as INEX2
-exceptions.
-
-The FPSP is not needed for this exception. The user-
-supplied exception handler is always entered.
-
-
-3.5.3 Instructions
-
-The following paragraphs describe the arithmetic and
-transcendental instructions supported by the FPSP.
-
-
-3.5.3.1 ARITHMETIC.
-
-Table 3-7 shows the arithmetic instructions supported by the FPSP.
-
-
-3.5.3.2 TRANSCENDENTAL.
-
-Table 3-8 shows the transcendental instructions supported by the FPSP.
-
-
-3.6 EXTERNAL INTERFACE REQUIREMENTS
-
-For end users the FPSP is transparent; system Integrators
-will integrate the FPSP into their system. (See 3.8.3.
-Site Adaptations)
-
-For applications compiled for the MC68881/MC68882 the FPSP
-provides kernel routines to support the MC68040
-unimplemented instructions. The MC68040 uses vector
-number 11 for the unimplemented instructions. The MC68040
-stack frames are different for unimplemented
-MC68881/MC68882 instructions and other F-line traps. For
-applications compiled for the MC68040 the unimplemented
-instructions are contained in a library (to avoid the
-F_line trap overhead at runtime).
-
-For both applications the FPSP provides kernel routines to
-support exceptions (vectors 48Ñ54) and unsupported data
-types (vector 55).
-
-
-3.7 PERFORMANCE REQUIREMENTS
-
-The following paragraphs describe the speed, accuracy, and
-compatibility requirements for the FPSP.
-
-
-3.7.1 Speed
-
-The performance of the transcendental function routines is
-equivalent or superior to that of a 33-MHz
-MC68881/MC68882.
-
-
-3.7.2 Accuracy
-
-The following paragraphs describe the arithmetic
-instructions, transcendental instructions, and decimal
-conversions for the FPSP.
-
-
-3.7.2.1 ARITHMETIC INSTRUCTIONS.
-
-The error bound is one-half unit in the last place of the
-destination format in the round-to-nearest mode, and one
-unit in the last place in the other rounding modes.
-
-
-3.7.2.2 TRANSCENDENTAL INSTRUCTIONS.
-
-The error bound is less than 0.502 ulp of double precision.
-
-
-3.7.2.3 DECIMAL CONVERSIONS.
-
-The error bound is 0.97 unit in the last digit of the
-destination precision for the round-to-nearest mode; and
-1.47 units in the last digit of the destination precision for
-the other rounding modes.
-
-
-3.7.3 Compatibility
-
-The FPSP transcendental calculation results are not the
-same as for the MC68881/MC68882. This is because the
-algorithms used by the MC68881/MC68882 (CORDIC) cannot be
-effectively implemented in software. All other
-calculations are identical. The error bound is equivalent
-or superior to the MC68881/MC68882.
-
-
-3.8 OTHER REQUIREMENTS
-
-The following paragraphs describe other requirements for
-the FPSP, such as maintainability, packaging, and site
-adaptations.
-
-
-3.8.1 Maintainability
-
-The speed requirements have forced writing most of the
-package in assembly language.
-
-
-3.8.2 Packaging
-
-There are two versions of the FPSP. The FPSP Kernel
-Version is used to execute pre-existing user object code
-written for the MC68882. This is installed as part of the
-operating system. User applications need not be recompiled
-or modified in any way once the FPSP Kernel Version is
-installed.
-
-The FPSP Library Version is used to compile code that uses
-only the MC68040-implemented floating point instructions.
-The library version provides less overhead than the FPSP
-Kernel Version. Other features of this library includes
-ABI compliance as well as IEEE exception-reporting
-compliant. It is not however, UNIX exception-reporting
-compliant. The FPSP is not yet available in library
-format.
-
-
-3.8.3 Site Adaptations
-
-Some of the entries in the vector table needs to point to
-entry points within the FPSP Kernel Version. For those
-vectors the FPSP displaces, an entry point is provided to
-replace that which it takes. Note that former MC68882
-floating-point exception handlers need to go through minor
-modifications to account for the differences between the
-MC68040 and MC68882 floating point exceptional state
-frames. The FPSP provides skeleton code for each floating-
-point exception handler to aid in porting the MC68882
-floating-point exception handlers.
-
-For systems and applications that never set any of the
-exception bits in the FPCR, or if the former MC68882
-floating-point exception handlers only contain minimum
-code needed to clear the exception and return, no work is
-needed and the FPSP is a drop-in package.
-
-The FPSP Library Version needs to "intercept" the
-appropriate math library calls which use MC68882
-transcendental instructions. Since each site has different
-naming conventions, the FPSP subroutines need to be
-renamed accordingly and recompiled. The resident compiler
-also needs to provide a library path search pattern such
-that the FPSP is given a chance to resolve those
-trancendentals instructions.
-
-
-3.8.4 Stack Area Usage
-
-To achieve code re-entrace, the FPSP allocates context-
-sensitive variables on the stack. The FPSP does not
-require more than 512 bytes on the stack per context. This
-may be an installation concern for UNIX applications in
-which there is a limited UBLOCK area, and that the system
-stack resides there.
-
-
-3.8.5 ROM-based applications
-
-One of the goals of the FPSP Kernel Version is to be able
-to fit in a read-only space of no more than 64 KBytes.
-There are two main sections that need to reside in ROM.
-The text section, and the initialized data section. The
-text section accounts for 65% while the initialized data
-section accounts for 35%.
-
-
-3.9 FPSP KERNEL VERSION INSTALLATION NOTES
-
-The following paragraphs provide the MC68882 users with an
-understanding of the issues involved in porting over the
-FPSP into existing MC68030/MC68882 systems. Once these
-issues are understood, then the actual installation is
-explained.
-
-
-3.9.1 Differences between the MC68040 and MC68882
- Floating-point Exception Handling
-
-The main reason for providing the FPSP is to provide
-MC68882 compatibility. If the installer understands the
-main differences between the MC68882 and MC68040 in the
-area of floating-point exception handlers, skip this
-section and go to the next section.
-
-There are three areas that differ between the MC68040 and
-MC68882.
-
-The first difference is that of unimplemented
-instructions. The FPSP handles this by means of the F-line
-exception handling. This means that if there is an
-existing F-line handler, the FPSP replaces the existing F-
-line exception handler, but provides an alternate entry
-point for the existing F-line handler.
-
-The second difference is unsupported data types. The
-MC68040 provides a new entry point in the vector table,
-therefore no existing handler is replaced by the FPSP.
-There are no installation issues here.
-
-The third difference is that of floating point exception
-differences. This issue is more involved and requires
-further explanations.
-
-The IEEE standard allows the user to enable or disable
-each floating point exception individually. If an
-exceptional condition occurs, the IEEE defines a specific
-action for the trap-disabled condition, and it also
-defines certain specific actions for a trap-enabled
-condition. The IEEE standard however, does not constrain
-the implementation of exception handling; both software
-and hardware can be used.
-
-The MC68882 supports the IEEE exception handling
-compliance totally in hardware. For example, a user-
-disabled (trap disabled) exception will cause the
-specified IEEE defined actions for user-disabled exception
-handling to occur. Similarly, user-enabled exceptions
-will cause the MC68882 to take the exception as defined by
-the IEEE trap enabled case.
-
-The MC68040 provides full IEEE trap-disabled exception
-handling compliance for the INEX and DZ exceptions. Just
-as the MC68882, the MC68040 takes these exceptions only
-for an IEEE trap-enabled condition. Existing MC68882
-handlers have a minimum code requirement as defined by the
-MC68882 User's Manual. As the MC68882 handlers, the
-MC68040 handlers have a minimum code requirement as well.
-The FPSP provides this minimum code requirement.
-
-The MC68040 does not provide full IEEE exception
-compliance on IEEE defined trap-disabled conditions for
-the following exceptions: OVFL, UNFL, OPERR, SNAN. For
-these exceptions, the MC68040 may take an exception even
-on an IEEE-defined trap-disabled condition. The FPSP
-provided exception handlers decide if its job is to
-implement IEEE trap-disabled exception compliance, (and
-therefore not execute the user supplied exception handler)
-or to implement IEEE trap-enabled exception compliance,
-(hence executing the user supplied exception handler). The
-FPSP provides a user entry point so that when this entry
-point is taken an IEEE-defined trap-enabled condition has
-definitely occurred. At this specified entry point, an
-exception handler written for the MC68882 needs to be
-modified to account for MC68040 stack differences, and
-then placed at the user entry point.
-
-As with the MC68882, there is a minimum code requirement
-for the MC68040 handler, but this minimum code is provided
-by the FPSP.
-
-From an installation perspective, the OVFL, UNFL, OPERR,
-SNAN exception handlers are replaced by the FPSP handlers,
-but the FPSP provides an entry point so that MC68882-like
-exception handlers may be written. Furthermore, minimum
-code is provided by the FPSP and can be used as a
-template.
-
-The BSUN exception is different in that unlike the
-previous exception handlers, the difference between the
-MC68882 and MC68040 resides in the IEEE-defined trap
-enabled case. The FPSP handles this by performing the
-patch needed for MC68882 compatibility, and then restoring
-the exception to the MC68040 without performing the
-necessary steps to clear the BSUN exception. The
-exceptional frame is restored into the MC68040 and the
-FPSP branches to the user entry point provided. At this
-entry point, an MC68882-like exception handler written for
-the MC68040 is executed without having to worry about the
-built-in incompatibility. Although this method incurs a
-performance hit, it frees the user-defined exception
-handler from having to write the code needed to implement
-MC68882 code compatibility. As with the other exception
-handlers, the FPSP provides the minimum code needed.
-
-In summary, the FPSP replaces the following exception
-handlers and provides an entry-point for MC68882-like
-exception handlers for these exceptions: OVFL, UNFL,
-OPERR, SNAN, BSUN, F-line.
-
-The FPSP is not needed for the INEX and DZ exception
-handlers, and these exception handlers just need to be
-MC68882-like.
-
-
-3.9.2 Vector Table
-
-The entry point into the FPSP is achieved by having the
-appropriate vector table offset point to a specified entry
-point within the FPSP. For simplicity, all of the FPSP
-main entry points are found in the file skeleton.sa.
-Table 3-9 shows the vector table offset and the
-appropriate labels within the file skeleton.sa that it
-needs to point to. Figure 3-1 shows a flowchart of the
-entry points.
-
-Once the entry point is reached, the user may add some
-user-specific code prior to jumping to the FPSP routines (
-FPSP routines are prefixed by "fpsp_"). After the jump to
-the FPSP routines, the FPSP performs its function and then
-jumps to the FPSP supplied entry points (if needed) found
-in the file skeleton.sa.
-
-
-3.9.3 FPSP Supplied Entry Points
-
-To replace the vector table entries it displaces, the FPSP
-provides an alternate entry point. For simplicity, all of
-the FPSP supplied entry points are found in the file
-skeleton.sa. The FPSP supplied F-line exception entry
-point is straight-forward. An F-line exception handler
-written for an MC68030 can be placed here without
-modifications. The Unsupported Data Type exception handler
-is newly-defined, it does not displace any MC68030/MC68882
-exception handler. Therefore, the FPSP does not provide an
-alternate entry point for this exception.
-
-The alternate entry points have the naming convention such
-that the specified exception handler is prefixed by
-"real_". For instance, the entry point for user-supplied
-BSUN exception handler is named "real_bsun".
-
-For the floating-point exception handlers (BSUN, OPERR,
-SNAN, DZ, OVFL, and UNFL) previously written for an
-MC68882 based system, these handlers need to be modified
-slightly for use with the MC68040. Once these handlers are
-modified, they are then placed in the FPSP provided entry
-points.
-
-
-3.9.4 Extract the Hardware Independent portion of
-the MC68882 handlers
-
-To modify the existing MC68882 handlers, all of the code
-used in accessing the MC68882 generated frame needs to be
-stripped off. The code used in clearing an MC68882
-exception (setting bit 27 of the BIU Flag) needs to be
-stripped off as well. Only the hardware independent
-portions of the MC68882 handlers may be used.
-
-To aid the installer in rewriting the MC68882 exception
-handlers, the file skeleton.sa provides the minimum code
-necessary to clear the exception once the specific handler
-is entered.
-
-Once the hardware-independent portion is written, the
-modified MC68882 handlers need to be integrated into the
-portion of the code which is hardware dependent. The
-minimum code needed by each exception handler is already
-provided by the FPSP within the file skeleton.sa. The
-following section describes the mechanics behind the
-written code.
-
-
-3.9.5 MC68040 Minimum Exception Code
-
-This section describes the minimum requirements for the
-user-supplied exception handlers. As mentioned in the
-previous sections, these minimum handlers are provided as
-part of the package, and this section is strictly for the
-user's information only.
-
-As with the MC68882, if all exceptions are always
-disabled, no minimum code is necessary since the FPSP
-guarantees that these FPSP provided entry points are never
-entered on trap-disabled condition. Therefore, for
-existing systems that do not provide exception handlers
-for the MC68882, it is likely that the assumption that all
-exceptions are always disabled is valid, and therefore no
-user-defined MC68040 exception handlers are needed either.
-
-The above paragraph should not be interpreted to mean that
-the FPSP provided exception handlers are unnecessary. On
-the contrary, the FPSP provided exception handlers are
-needed, and that these FPSP exception handlers provide the
-entry points for user-defined exception handlers. Whether
-or not the user-defined MC68040 exception handers are
-needed is the issue being discussed.
-
-Assuming that it is possible that the exceptions are
-enabled at some point, the minimum exception handler is
-similar to that defined for an MC68882. As with the
-MC68882, the MC68040 requires that the first floating
-point instruction be an FSAVE. Unlike the
-MC68882, the MC68040 does not always require an equivalent
-FRESTORE. For an E1 exception, only the FSAVE requirement
-is needed, the state frame may be discarded. The E3
-exception is more similar to that found in an MC68882. As
-with the MC68882, the E3 exception requires an FSAVE, an
-instruction that clears the exception in the resulting
-FSAVE stack, followed by an FRESTORE.
-
-If both E3 and E1 exceptions exist at the same time, then
-the exception is handled as though it were an E3
-exception. After which, the MC68040 re-traps to handle the
-E1 exception.
-
-The E3 exception can only be reported by the following
-exception handlers: OVFL, UNFL, INEX. For these exception
-handlers, this is the minimum code requirement:
- 1) FSAVE
- 2) if E3 bit set, goto (4), else goto (3)
- 3) E1 exception, throw away stack and RTE
- 4) Clear E3 bit, FRESTORE, RTE
-
-The E3 exception cannot be reported by the following
-exception handlers: SNAN, OPERR and DZ. Since only an E1
-exception needs to be handled here, this is the minimum
-code requirement:
- 1) FSAVE
- 2) throw away stack and RTE
-
-For the BSUN exception handler, the minimum code
-requirement is:
- 1) FSAVE
- 2) Do one of 4 methods described in MC68040 User's
- Manual
- 3) throw away stack and RTE
-
-If the above minimum code requirements are not met, then,
-an infinitely looping exception sequence occurs.
-
-
-3.9.6 Mem_read and Mem_write
-
-The mem_write and mem_read subroutines are used by the
-FPSP to read and write from user space. These routines
-perform a UNIX system call to lcopyin and lcopyout. The
-FPSP provides a simple version of lcopyin and lcopyout for
-non-UNIX applications. Installation to UNIX-based systems
-requires that the FPSP provided lcopyin and lcopyout be
-deleted or commented out. For simplicity, these
-subroutines are found in the file skeleton.sa.
-
-The production version of the FPSP is fully re-entrant. If
-a page fault occurs on either a mem_read or mem_write, the
-operating system may perform a page-in operation and still
-allow other processes to use the FPSP.
-
-
-3.9.7 Increasing F-line Handler Performance
-
-The FPSP was written to handle all possible cases of
-MC68040 vs MC68030/MC68882 problem areas. Any performance
-improvement in this handler increases floating-point
-performance. The F-line handling may be made quicker by
-pointing the vector table entry directly into the label
-"fpsp_unimp" found in the file x_unimp.sa, if these
-conditions are met:
-
- 1) That the system never has to execute an FMOVECR
- instruction in which bits 0 to 5 of the F-line word are
- non-zero.
-
- 2) An alternate F-line entry point is unnecessary.
- This optimization saves a total of three instructions. ( 1
- bra, 1 cmpi, 1 beq).
-
-
-3.10 REFERENCES
-
-1. MC68881UM/AD, MC68881/MC68882 Motorola Floating-Point
- Coprocessor User's Manual. Motorola Inc., 1989
-2. M68040UM/AD M68040 32-Bit Microprocessor User's
- Manual, Motorola, Inc.,1992,
-3. MC68020UM/AD, MC68020 32-Bit Microprocessor User's
- Manual, Motorola, Inc., 1990.
-4. MC68030UM/AD, MC68030 Enhanced 32-Bit Microprocessor
- User's Manual, Motorola Inc., 1990
-5. ANSI/IEEE Std. 754,1985 Standard for Binary Floating-
- Point Arithmetic
-6. M68000PM/AD REV. 1 Programmer's Reference Manual. Motorola Inc., 1992
-
-
-3.11 Tables and Figures
-
- Table 3-1. Functions Provided by MC68040
- ------------------------------------------------------------------
- Name | Description
- ------------------------------------------------------------------
- FMOVE Move to FPU
- FMOVEM Move Multiple Registers
- FSMOVE Single-Precision Move
- FDMOVE Double-Precision Move
- FCMP Compare
- FABS Absolute Value
- FSABS Single-Precision Absolute Value
- FDABS Double-Precision Absolute Value
- FTST Test
- FNEG Negate
- FSNEG Single-Precision Negate
- FDNEG Double-Precision Negate
- FADD Add
- FSUB Subtract
- FDIV Divide
- FMUL Multiply
- FBcc Branch Conditionally
- FScc Set According to Condition
- FDBcc Test Cond, Dec and Branch
- FTRAPcc Trap Conditionally
- FSADD Single-Precision Add
- FSSUB Single-Precision Subtract
- FSMUL Single-Precision Multiply
- FSDIV Single-Precision Divide
- FDADD Double-Precision Add
- FDSUB Double-Precision Subtract
- FDMUL Double-Precision Multiply
- FDDIV Double-Precision Divide
- FSQRT Square Root
- FSSQRT Single-Precision Square Root
- FDSQRT Double-Precision Square Root
- FNOP No Operation
- FSAVE Save Internal State
- FRESTORE Restore Internal State
- FSGLDIV Single-Precision Divide (68882 compatible)
- FSGLMUL Single-Precision Multiply (68882 compatible)
- ------------------------------------------------------------------
-
-
- Table 3-2. Support for Data Types and Data Formats
- ------------------------------------------------------------------
- | Data Formats
- |----------------------------------------------------
- Data Types | SGL | DBL | EXT | Dec | Byte | Word | Long
- ------------------------------------------------------------------
- Norm * * * @ * * *
- Zero * * * @ * * *
- Infinity * * * @
- NaN * * * @
- Denorm # # @ @
- Unnorm @ @
- ------------------------------------------------------------------
-Notes:
- @ = supported by FPSP
- * = supported by the MC68040 FPU
- # = supported by FPSP after being converted to extended precision by
- MC68040
-
-
- Table 3-3. Operand Errors Handled by the MC68040
- ------------------------------------------------------------------
- Instruction | Conditions Causing Operand Error
- ------------------------------------------------------------------
- FADD ( + inf )+( - inf ) or (- inf )+( + inf )
- FSUB ( + inf )-( + inf ) or (- inf )-(- inf )
- FMUL ( 0 ) x ( inf ) or ( inf ) x ( 0 )
- FDIV 0 / 0 or inf / inf
- FMOVE.BWL Integer overflow, Source is NaN, or Source is inf
- FSQRT Source < 0, Source = - inf
- ------------------------------------------------------------------
-
-
-
- Table 3-4. Operand Errors Generated by the FPSP
- ------------------------------------------------------------------
- Instruction | Condition Causing Operand Error
- ------------------------------------------------------------------
- FSADD ( + inf )+( - inf ) or ( - inf )+( + inf )
- FDADD ( + inf )+( - inf ) or ( - inf )+( + inf )
- FSSUB ( + inf )-( + inf ) or ( - inf )-( - inf )
- FDSUB ( + inf )-( + inf ) or ( - inf )-( - inf )
- FSMUL ( 0 ) x ( inf ) or ( inf ) x ( 0 )
- FDMUL ( 0 ) x ( inf ) or ( inf ) x ( 0 )
- FSDIV 0 / 0 or inf / inf
- FDDIV 0 / 0 or inf / inf
- FCOS Source is +/- inf
- FSIN Source is +/- inf
- FTAN Source is +/- inf
- FACOS Source is +/- inf, > +1, or < -1
- FASIN Source is +/- inf, > +1, or < -1
- FATANH Source is > +1, or < -1, Source = ± inf
- FSINCOS Source is +/- inf
- FGETEXP Source is +/- inf
- FGETMAN Source is +/- inf
- FLOG10 Source is < 0, Source = - inf
- FLOG2 Source is +/- inf, > +1, or < -1
- FLOGN Source is +/- inf, > +1, or < -1
- FLOGNP1 Source is < -1, Source is = - inf
- FMOD FPx is +/- inf or Source is 0, Other Operand is not a
- NaN
- FMOVE to P Result Exponent > 999 (Decimal) or k-Factor > +17
- FREM FPx is +/- inf or Source, Other Operand is not a NaN
- FSCALE Source is +/- inf, Other Operand is not a NaN
- ------------------------------------------------------------------
-
- Table 3-5. DZ Exceptions Generated by the FPSWP
- ------------------------------------------------------------------
-Ê Instruction | Condition Causing DZ Exception
- ------------------------------------------------------------------
- FATANH Source Operand = $ + -$1
- FLOG10 Source Operand = 0
- FLOG2 Source Operand = 0
- FLOGN Source Operand = 0
- FLOGNP1 Source Operand = -1
- FSGLDIV Source Operand = 0 and FPn is not a NaN, Infinity,
- or 0
- ------------------------------------------------------------------
-
-
- Table 3-6. DZ Exceptions Generated by the MC68040
- ------------------------------------------------------------------
- Instruction | Condition Causing DZ Exception
- ------------------------------------------------------------------
- FDIV Source Operand = 0 and FPn is not a NaN, Infinity,
- or 0
- FSDIV Source Operand = 0 and FPn is not a NaN, Infinity,
- or 0
- FDDIV Source Operand = 0 and FPn is not a NaN, Infinity,
- or 0
- ------------------------------------------------------------------
-
-
- Table 3-7. Arithmetic Instructions
- ------------------------------------------------------------------
- Name | Description
- ------------------------------------------------------------------
- FADD* Add
- FSUB* Subtract
- FSADD*+ Single-Precision Add
- FSSUB*+ Single-Precision Subtract
- FDADD*+ Double-Precision Add
- FDSUB*+ Double-Precision Subtract
- FMUL* Multiply
- FDIV* Divide
- FSMUL*+ Single-Precision Multiply
- FSDIV*+ Single-Precision Divide
- FDMUL*+ Double-Precision Multiply
- FDDIV*+ Double-Precision Divide
- FINT Integer Part
- FINTRZ Integer Part (Truncated)
- FABS* Absolute Value
- FNEG* Negate
- FGETEXP Get Exponent
- FGETMAN Get Mantissa
- FTST* Test Operand
- FCMP* Compare
- FREM IEEE Remainder
- FSCALE Scale Exponent
- FMOVE* Move FP data register
- FSMOVE* Single-Precision Move
- FDMOVE* Double-Precision Move
- FSQRT* Square Root
- FSSQRT* Single-Precision Square Root
- FTWOTOX 2 to the X Power
- FMOD Modulo Remainder
- FDSQRT* Double-Precision Square Root
- FDMOD Double-Precision Modulo Remainder
- FSMOD Single-Precision Modulo Remainder
- ------------------------------------------------------------------
-Notes:
- * The FPSP provides these functions for all decimal data formats,
- single, double, and extended denormalized data types, and extended
- unnormalized data types. The MC68040 provides these functions
- for the remaining formats and types (See page 11 of Reference 2).
- + Additional functions which are not provided by the MC68881/MC68882.
-
-
- Table 3-8. Transcendental Instructions
- ------------------------------------------------------------------
- Name | Description
- ------------------------------------------------------------------
- FCOS Cosine
- FSIN Sine
- FACOS Arc Cosine
- FASIN Arc Sine
- FCOSH Hyperbolic Cosine
- FSINH Hyperbolic Sine
- FSINCOS Simultaneous Sine & Cosine
- FATAN Arc Tangent
- FTAN Tangent
- FATANH Hyperbolic Arc Tan
- FTANH Hyperbolic Tangent
- FLOG10 Log Base 10
- FLOG2 Log Base 2
- FLOGNP1 Log Base e of (x+1)
- FLOGN Log Base e
- FETOXM1 (e to the x Power) -1
- FETOX e to the x Power
- FTWOTOX 2 to the x Power
- FTENTOX 10 to the x Power
- ------------------------------------------------------------------
-
-
- Table 3-9. FPSP Provided Entry Points
- ------------------------------------------------------------------
- Exception Type | Vector Table | FPSP entry | User entry
- | (offset) | point | point
- ------------------------------------------------------------------
- F-line unimplemented vector 11 ($2C) fline real_fline
- float instruction
- ------------------------------------------------------------------
- Branch or set on vector 48 ($20) bsun real_bsun
- unordered
- ------------------------------------------------------------------
- Inexact vector 49 ($C4) inex real_inex
- ------------------------------------------------------------------
- Divide-by-zero vector 50 ($C8) dz real_dz
- ------------------------------------------------------------------
- Underflow vector 51 ($CC) unfl real_unfl
- ------------------------------------------------------------------
- Operand error vector 52 ($D0) operr real_operr
- ------------------------------------------------------------------
- Overflow vector 53 ($D4) ovfl real_ovfl
- ------------------------------------------------------------------
- Signalling Not-A- vector 54 ($D8) snan real_snan
- Number
- ------------------------------------------------------------------
- Unsupported data type vector 55 ($DC) unsupp
- ------------------------------------------------------------------
-
-
- File: skeleton.sa
- |---------------------|
- | | File: x_unfl.sa
- | | |----------------------|
- VECTOR | | | |
- TABLE | | /->|fpsp_unfl: |
- |------------| /->|unfl: | | | . |
- | | | | jmp fpsp_unfl ----|-/ | . |
- | | | | | | . |
-vbr+$cc |addr of unfl|-/ | | | HANDLE NON-MASKABLE |
- | | |real_unfl: <--------|--\ | EXCEPTION CONDITION |
- | | | . | | | . |
- | | | . | | | . |
- | | | . | | | . |
- | | | USER TRAP HANDLER | | | |
- |------------| | . | | | if FPCR Exception |
- | . | | | Byte UNFL bit set,|
- | . | \-|-- jmp real_unfl |
- |rte . | | else rte |
- | | |----------------------|
- |---------------------|
- Figure 3-1 FPSP Entry Points
-
-
-
-SECTION 4 FPSP Library Version
-
-4.1 When to use the FPSP Library Version.
-
-The FPSP Library Version is intended to provide better performance for
-trancendental instructions. It gets its performance by avoiding the
-overhead involved in F-line trap emulation, as used by the Unimplemented
-Instruction Handler. The FPSP Library Version is optional, and user code
-needs to be recompiled to make use of it.
-
-
-4.2 Installation Notes
-
-The library version of the FPSP can be built by running 'make libFPSP.a'
-from either the Makefile (for asm syntax) or fpsp.mk (for as syntax).
-The 'make convert' step in Makefile will build both kernel and library .s
-files from the .sa sources. Change the SYS= and PREFIX= variables
-in Makefile BEFORE running 'make convert'. Three templates are supplied
-for building the library version: GEN, CI5 and R3V6. The GEN templates
-generate entry points for single, double and extended precision routines and
-provide the closest emulation of the kernel FPSP. The CI5 and R3V6
-templates are faster, but discard most of the condition code and control
-register handling, and only provide the double precision entry points.
-
-The entry point names are contained in L_LIST. Change the first 3
-entries of each line to suit your system.
-
-
-4.3 Differences in the library version:
-
- 1.) Single and Double precision SNAN's will not generate an SNAN
- exception because they are converted to extended precision
- and doing so causes them to turn into non-signalling NAN's.
-
- Example: facos.d 7ff7_ffff_ffff_ffff snan
-
- 2.) An enabled Inexact exception may not be taken in all cases.
-
- Example: facos.x 000000000000000000000001 d inex2
- fint.x 403d_0000_aaaa_aaaa_aaaa_ffff inex2
-
- 3.) The return value in fp0 is undefined when an enabled OPERR or DZ
- exception ocurrs. In the kernel FPSP, the destination register
- is unchanged.
-
- 4.)fscale does not return the right result when an underflow ocurrs.
- The problem is that the t_unfl code in the l_support.sa file
- cannot exactly mimic the kernel FPSP version because the incoming
- FPCR is not in the same place every time.
-
-
-4.4 Changes in the library version of FPSP rel 2.3:
-
- A floating point exception occurs when a transcendentals called twice.
- example: main()
- { double d;
- d= 0.0;
- x = facosd(0.0);
- y = facosd(d);
- }
- This is fixed in release 2.2 of FPSP.
- A followup on the above bug was to restore the fpcr beforw it unlinks.
- This is fixed in release 2.3 of FPSP.
-
-
-4.5 Performance
-
-Overall, the library version is twice as fast as the kernel code.
-
-
-APPENDIX A BUG TEMPLATE
-
-Use the template below when reporting bugs.
-
-Any fields designated with an asterick (*) can be left blank.
-When complete, please fax the report to the following
-phone number :
-
- (800) 248-8567
-
-To assist you in filling out this form, a description of each field follows
-the template.
-Should you have any questions, please fax us at the above number.
-----------------------------------------------------------------------------
-
-Problem# (0-0000)
-
-Key Words
-
-Severity (1,2,3)
-
-Customer Description
-
-Long Description
-
-System Description
-
-Date Reported
-
-Reported By
-
-Phone
-
-*Resolved?
-
-*Date Resolved
-
-*Who fixed
-
-*Correction Description
-
-*Modules Affected
-
-Problem Release/Load
-
-*Test suite passed
-
-*sccs version control
-
----------------------------------------------------------------------------
-
-The following is a brief description of how to use the bug report template.
-
----------------------------------------------------------------------------
-
-Problem# (0-0000) You may include a number that you will use internally
- to track this bug. We will log it but assign our own
- # to track your bug repair. Please choose one person
- as the individual to send in all bug reports for your
- firm. This should help avoid confusion and ensure a
- smooth working relationship.
-
-Key Words Indicate the key terms associated with this bug
- report. For example: fpcr, denorm
-
-Severity (1,2,3,4,5) This indicates the severity of the bug.
- The following descriptions are taken from AT&T test
- document:
- 1: an error that causes the FPSP to crash and no
- further work can be done. An error that causes gross
- deviations of results. Non-waiverable compliance
- violations are also severity 1.
- 2: an error that represents a substantial deviation in
- the functionality of the FPSP or deviation from
- IEEE 754 standard.
- 3: an error that represents a deviation in the
- functionality. However, the customer is able to
- implement a workaround to this problem.
- 4: an error that represents a minor deviation or
- incorrect documentation.
- 5: a request for product enhancement.
-
-
-Customer Description This is a brief description of the problem.
-
-Long Description This is a more detailed description of the problem.
- This could contain a short code fragment, a
- suggested fix for the bug or reference a longer
- file with this type of information in it.
-
-System Description This is a brief description of your system.
-
-Date Reported MM/DD/YY
-
-Reported By Your name
-
-Phone Enter your telephone number including the
- area code.
-
-*Resolved? Enter "yes" or "no" only.
-
-*Date Resolved When the bug is fixed the date it was fixed
- will be entered by us in this field.
-
-*Who fixed Name of the person who fixed the bug.
-
-*Correction Description When the bug is fixed we will enter a
- description of the fix in this field.
-
-*Modules Affected When the bug is fixed we will enter the
- module name.
-
-
-Problem Release/Load Enter the release or load information in this
- field. This information should be on the label
- for the tape that was sent to you.
-
-*Test suite passed You do not need to fill out this field. This is
- the test suite file that we use to verify bugs
- and/or fixes.
-
-*sccs version control You do not need to fill out this field. This is
- the sccs version that contains the fix.
-
diff --git a/sys/arch/m68k/fpsp/README.source b/sys/arch/m68k/fpsp/README.source
deleted file mode 100644
index 62e44b38ffc1..000000000000
--- a/sys/arch/m68k/fpsp/README.source
+++ /dev/null
@@ -1,5 +0,0 @@
-The source for the Motorola FPSP (Floating Point Software Package) was ported
-to gas by Eric Norum at the University of Saskatchewan. It is available
-by anonymous ftp from:
- ftp.usask.ca /pub/software/fpsp/fpsp_gas.tar.gz
-
diff --git a/sys/arch/m68k/fpsp/README_FIRST b/sys/arch/m68k/fpsp/README_FIRST
deleted file mode 100644
index d2961a60496f..000000000000
--- a/sys/arch/m68k/fpsp/README_FIRST
+++ /dev/null
@@ -1,40 +0,0 @@
-I got the FPSP source from the Motorola BBS and have converted it
-to GNU GAS format.
-
-The three subdirectories are:
- src_asm FPSP source from the Motorola BBS.
- src_as FPSP source from the Motorola BBS.
- src_gas FPSP source in GNU GAS format. I did this by
- running some `flex' lexical analyzers on the
- src_asm files.
-
-A big thanks goes out to Michael Hitch (osymh@gemini.oscs.montana.edu) for
-solving the problem I had with some operations locking up. The problem
-was that there were some branch instructions in gen_except.s that
-were `word' when they should have been `long'.
-
-I had to make a little tweak to gas version 2.1.1 to get it to assemble.
-Around line 2190 of tc-m68k.c you have to change a `#if 0' to `#if 1':
-=============================================================================
- /* We gotta put out some float */
-#if 1
- if (seg (opP->con1) != SEG_BIG)
- {
- int_to_gen (nextword);
- gen_to_words (words, baseo, (long int) outro);
- for (wordp = words; baseo--; wordp++)
- addword (*wordp);
- break;
- } /* Its BIG */
-#else
- if (seg (opP->con1) != big_section)
- {
- abort ();
- }
-#endif
-=============================================================================
-
-Eric Norum eric@skatter.usask.ca
-Saskatchewan Accelerator Laboratory
-University of Saskatchewan
-Saskatoon, Canada. NeXTMail accepted.
diff --git a/sys/arch/m68k/fpsp/fpsp.U b/sys/arch/m68k/fpsp/fpsp.U
deleted file mode 100644
index 3f0f6c30bb2c..000000000000
--- a/sys/arch/m68k/fpsp/fpsp.U
+++ /dev/null
@@ -1,1089 +0,0 @@
-begin 644 fpsp.o
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