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// Written in the D programming language.
/**
This is a submodule of $(MREF std, math).
It contains hardware support for floating point numbers.
Copyright: Copyright The D Language Foundation 2000 - 2011.
License: $(HTTP www.boost.org/LICENSE_1_0.txt, Boost License 1.0).
Authors: $(HTTP digitalmars.com, Walter Bright), Don Clugston,
Conversion of CEPHES math library to D by Iain Buclaw and David Nadlinger
Source: $(PHOBOSSRC std/math/hardware.d)
*/
module std.math.hardware;
static import core.stdc.fenv;
version (LDC) import ldc.attributes;
version (X86) version = X86_Any;
version (X86_64) version = X86_Any;
version (PPC) version = PPC_Any;
version (PPC64) version = PPC_Any;
version (MIPS32) version = MIPS_Any;
version (MIPS64) version = MIPS_Any;
version (AArch64) version = ARM_Any;
version (ARM) version = ARM_Any;
version (S390) version = IBMZ_Any;
version (SPARC) version = SPARC_Any;
version (SPARC64) version = SPARC_Any;
version (SystemZ) version = IBMZ_Any;
version (RISCV32) version = RISCV_Any;
version (RISCV64) version = RISCV_Any;
version (D_InlineAsm_X86) version = InlineAsm_X86_Any;
version (D_InlineAsm_X86_64) version = InlineAsm_X86_Any;
version (X86_64) version = StaticallyHaveSSE;
version (X86) version (OSX) version = StaticallyHaveSSE;
version (StaticallyHaveSSE)
{
private enum bool haveSSE = true;
}
else version (X86)
{
static import core.cpuid;
private alias haveSSE = core.cpuid.sse;
}
version (D_SoftFloat)
{
// Some soft float implementations may support IEEE floating flags.
// The implementation here supports hardware flags only and is so currently
// only available for supported targets.
}
else version (X86_Any) version = IeeeFlagsSupport;
else version (PPC_Any) version = IeeeFlagsSupport;
else version (RISCV_Any) version = IeeeFlagsSupport;
else version (MIPS_Any) version = IeeeFlagsSupport;
else version (ARM_Any) version = IeeeFlagsSupport;
// Struct FloatingPointControl is only available if hardware FP units are available.
version (D_HardFloat)
{
// FloatingPointControl.clearExceptions() depends on version IeeeFlagsSupport
version (IeeeFlagsSupport) version = FloatingPointControlSupport;
}
version (IeeeFlagsSupport)
{
/** IEEE exception status flags ('sticky bits')
These flags indicate that an exceptional floating-point condition has occurred.
They indicate that a NaN or an infinity has been generated, that a result
is inexact, or that a signalling NaN has been encountered. If floating-point
exceptions are enabled (unmasked), a hardware exception will be generated
instead of setting these flags.
*/
struct IeeeFlags
{
nothrow @nogc:
private:
// The x87 FPU status register is 16 bits.
// The Pentium SSE2 status register is 32 bits.
// The ARM and PowerPC FPSCR is a 32-bit register.
// The SPARC FSR is a 32bit register (64 bits for SPARC 7 & 8, but high bits are uninteresting).
// The RISC-V (32 & 64 bit) fcsr is 32-bit register.
uint flags;
version (CRuntime_Microsoft)
{
// Microsoft uses hardware-incompatible custom constants in fenv.h (core.stdc.fenv).
// Applies to both x87 status word (16 bits) and SSE2 status word(32 bits).
enum : int
{
INEXACT_MASK = 0x20,
UNDERFLOW_MASK = 0x10,
OVERFLOW_MASK = 0x08,
DIVBYZERO_MASK = 0x04,
INVALID_MASK = 0x01,
EXCEPTIONS_MASK = 0b11_1111
}
// Don't bother about subnormals, they are not supported on most CPUs.
// SUBNORMAL_MASK = 0x02;
}
else
{
enum : int
{
INEXACT_MASK = core.stdc.fenv.FE_INEXACT,
UNDERFLOW_MASK = core.stdc.fenv.FE_UNDERFLOW,
OVERFLOW_MASK = core.stdc.fenv.FE_OVERFLOW,
DIVBYZERO_MASK = core.stdc.fenv.FE_DIVBYZERO,
INVALID_MASK = core.stdc.fenv.FE_INVALID,
EXCEPTIONS_MASK = core.stdc.fenv.FE_ALL_EXCEPT,
}
}
static uint getIeeeFlags() @trusted pure
{
version (InlineAsm_X86_Any)
{
ushort sw;
version (LDC)
{
asm pure nothrow @nogc { "fstsw %0" : "=m" (sw); }
}
else
{
asm pure nothrow @nogc { fstsw sw; }
}
// OR the result with the SSE2 status register (MXCSR).
if (haveSSE)
{
uint mxcsr;
version (LDC)
{
asm pure nothrow @nogc { "stmxcsr %0" : "=m" (mxcsr); }
}
else
{
asm pure nothrow @nogc { stmxcsr mxcsr; }
}
return (sw | mxcsr) & EXCEPTIONS_MASK;
}
else return sw & EXCEPTIONS_MASK;
}
else version (LDC)
{
version (PPC_Any)
{
return FloatingPointControl.getControlState();
}
else version (MIPS_Any)
{
return FloatingPointControl.getControlState();
}
else version (AArch64)
{
uint fpsr;
asm pure nothrow @nogc { "mrs %0, FPSR" : "=r" (fpsr); }
return fpsr & 0x1F;
}
else version (ARM)
{
const fpscr = FloatingPointControl.getControlState();
return fpscr & 0x1F;
}
else
assert(0, "Not yet supported");
}
else version (SPARC)
{
/*
int retval;
asm pure nothrow @nogc { st %fsr, retval; }
return retval;
*/
assert(0, "Not yet supported");
}
else version (ARM)
{
assert(false, "Not yet supported.");
}
else version (RISCV_Any)
{
mixin(`
uint result = void;
asm pure nothrow @nogc
{
"frflags %0" : "=r" (result);
}
return result;
`);
}
else
assert(0, "Not yet supported");
}
static void resetIeeeFlags() @trusted
{
version (InlineAsm_X86_Any)
{
version (LDC)
{
asm nothrow @nogc { "fnclex" : : : "fpsw"; }
}
else
{
asm nothrow @nogc
{
fnclex;
}
}
// Also clear exception flags in MXCSR, SSE's control register.
if (haveSSE)
{
uint mxcsr;
version (LDC)
{
asm nothrow @nogc { "stmxcsr %0" : "=m" (mxcsr); }
mxcsr &= ~EXCEPTIONS_MASK;
asm nothrow @nogc { "ldmxcsr %0" : : "m" (mxcsr) : "flags"; }
}
else
{
asm nothrow @nogc { stmxcsr mxcsr; }
mxcsr &= ~EXCEPTIONS_MASK;
asm nothrow @nogc { ldmxcsr mxcsr; }
}
}
}
else version (RISCV_Any)
{
mixin(`
uint newValues = 0x0;
asm pure nothrow @nogc
{
"fsflags %0" : : "r" (newValues);
}
`);
}
else version (LDC)
{
version (PPC_Any)
{
asm pure nothrow @nogc
{
`mtfsb0 3
mtfsb0 4
mtfsb0 5
mtfsb0 6
mtfsb0 7
mtfsb0 8
mtfsb0 9
mtfsb0 10
mtfsb0 11
mtfsb0 12`;
}
}
else version (MIPS_Any)
{
version (D_LP64) enum mask = 0xFFFFFF80u;
else enum mask = 0xFF80u;
const newState = FloatingPointControl.getControlState() & mask;
FloatingPointControl.setControlState(newState);
}
else version (AArch64)
{
uint fpsr;
asm pure nothrow @nogc { "mrs %0, FPSR" : "=r" (fpsr); }
fpsr &= ~0x1F;
asm pure nothrow @nogc { "msr FPSR, %0" : : "r" (fpsr); }
}
else version (ARM)
{
const fpscr = FloatingPointControl.getControlState();
FloatingPointControl.setControlState(fpscr & ~0x1F);
}
else
assert(0, "Not yet supported");
}
else
{
/* SPARC:
int tmpval;
asm pure nothrow @nogc { st %fsr, tmpval; }
tmpval &=0xFFFF_FC00;
asm pure nothrow @nogc { ld tmpval, %fsr; }
*/
assert(0, "Not yet supported");
}
}
public:
/**
* The result cannot be represented exactly, so rounding occurred.
* Example: `x = sin(0.1);`
*/
@property bool inexact() @safe const { return (flags & INEXACT_MASK) != 0; }
/**
* A zero was generated by underflow
* Example: `x = real.min*real.epsilon/2;`
*/
@property bool underflow() @safe const { return (flags & UNDERFLOW_MASK) != 0; }
/**
* An infinity was generated by overflow
* Example: `x = real.max*2;`
*/
@property bool overflow() @safe const { return (flags & OVERFLOW_MASK) != 0; }
/**
* An infinity was generated by division by zero
* Example: `x = 3/0.0;`
*/
@property bool divByZero() @safe const { return (flags & DIVBYZERO_MASK) != 0; }
/**
* A machine NaN was generated.
* Example: `x = real.infinity * 0.0;`
*/
@property bool invalid() @safe const { return (flags & INVALID_MASK) != 0; }
}
///
@optStrategy("none") // LDC
@safe unittest
{
import std.math.traits : isNaN;
static void func() {
int a = 10 * 10;
}
pragma(inline, false) static void blockopt(ref real x) {}
real a = 3.5;
// Set all the flags to zero
resetIeeeFlags();
assert(!ieeeFlags.divByZero);
blockopt(a); // avoid constant propagation by the optimizer
// Perform a division by zero.
a /= 0.0L;
assert(a == real.infinity);
assert(ieeeFlags.divByZero);
blockopt(a); // avoid constant propagation by the optimizer
// Create a NaN
a *= 0.0L;
assert(ieeeFlags.invalid);
assert(isNaN(a));
// Check that calling func() has no effect on the
// status flags.
IeeeFlags f = ieeeFlags;
func();
assert(ieeeFlags == f);
}
version (LDC)
{
unittest
{
pragma(msg, "ieeeFlags test disabled, see LDC Issue #888");
}
}
else
@safe unittest
{
import std.meta : AliasSeq;
static struct Test
{
void delegate() @trusted action;
bool function() @trusted ieeeCheck;
}
static foreach (T; AliasSeq!(float, double, real))
{{
T x; /* Needs to be here to trick -O. It would optimize away the
calculations if x were local to the function literals. */
auto tests = [
Test(
() { x = 1; x += 0.1L; },
() => ieeeFlags.inexact
),
Test(
() { x = T.min_normal; x /= T.max; },
() => ieeeFlags.underflow
),
Test(
() { x = T.max; x += T.max; },
() => ieeeFlags.overflow
),
Test(
() { x = 1; x /= 0; },
() => ieeeFlags.divByZero
),
Test(
() { x = 0; x /= 0; },
() => ieeeFlags.invalid
)
];
foreach (test; tests)
{
resetIeeeFlags();
assert(!test.ieeeCheck());
test.action();
assert(test.ieeeCheck());
}
}}
}
/// Set all of the floating-point status flags to false.
void resetIeeeFlags() @trusted nothrow @nogc
{
IeeeFlags.resetIeeeFlags();
}
///
@optStrategy("none") // LDC, required for the IEEE flags check
@safe unittest
{
pragma(inline, false) static void blockopt(ref real x) {}
resetIeeeFlags();
real a = 3.5;
blockopt(a); // avoid constant propagation by the optimizer
a /= 0.0L;
blockopt(a); // avoid constant propagation by the optimizer
assert(a == real.infinity);
assert(ieeeFlags.divByZero);
resetIeeeFlags();
assert(!ieeeFlags.divByZero);
}
/// Returns: snapshot of the current state of the floating-point status flags
@property IeeeFlags ieeeFlags() @trusted pure nothrow @nogc
{
return IeeeFlags(IeeeFlags.getIeeeFlags());
}
///
@optStrategy("none") // LDC, required for the IEEE flags check
@safe nothrow unittest
{
import std.math.traits : isNaN;
pragma(inline, false) static void blockopt(ref real x) {}
resetIeeeFlags();
real a = 3.5;
blockopt(a); // avoid constant propagation by the optimizer
a /= 0.0L;
assert(a == real.infinity);
assert(ieeeFlags.divByZero);
blockopt(a); // avoid constant propagation by the optimizer
a *= 0.0L;
assert(isNaN(a));
assert(ieeeFlags.invalid);
}
} // IeeeFlagsSupport
version (FloatingPointControlSupport)
{
/** Control the Floating point hardware
Change the IEEE754 floating-point rounding mode and the floating-point
hardware exceptions.
By default, the rounding mode is roundToNearest and all hardware exceptions
are disabled. For most applications, debugging is easier if the $(I division
by zero), $(I overflow), and $(I invalid operation) exceptions are enabled.
These three are combined into a $(I severeExceptions) value for convenience.
Note in particular that if $(I invalidException) is enabled, a hardware trap
will be generated whenever an uninitialized floating-point variable is used.
All changes are temporary. The previous state is restored at the
end of the scope.
Example:
----
{
FloatingPointControl fpctrl;
// Enable hardware exceptions for division by zero, overflow to infinity,
// invalid operations, and uninitialized floating-point variables.
fpctrl.enableExceptions(FloatingPointControl.severeExceptions);
// This will generate a hardware exception, if x is a
// default-initialized floating point variable:
real x; // Add `= 0` or even `= real.nan` to not throw the exception.
real y = x * 3.0;
// The exception is only thrown for default-uninitialized NaN-s.
// NaN-s with other payload are valid:
real z = y * real.nan; // ok
// The set hardware exceptions and rounding modes will be disabled when
// leaving this scope.
}
----
*/
struct FloatingPointControl
{
nothrow @nogc:
alias RoundingMode = uint; ///
version (StdDdoc)
{
enum : RoundingMode
{
/** IEEE rounding modes.
* The default mode is roundToNearest.
*
* roundingMask = A mask of all rounding modes.
*/
roundToNearest,
roundDown, /// ditto
roundUp, /// ditto
roundToZero, /// ditto
roundingMask, /// ditto
}
}
else version (CRuntime_Microsoft)
{
// Microsoft uses hardware-incompatible custom constants in fenv.h (core.stdc.fenv).
enum : RoundingMode
{
roundToNearest = 0x0000,
roundDown = 0x0400,
roundUp = 0x0800,
roundToZero = 0x0C00,
roundingMask = roundToNearest | roundDown
| roundUp | roundToZero,
}
}
else
{
enum : RoundingMode
{
roundToNearest = core.stdc.fenv.FE_TONEAREST,
roundDown = core.stdc.fenv.FE_DOWNWARD,
roundUp = core.stdc.fenv.FE_UPWARD,
roundToZero = core.stdc.fenv.FE_TOWARDZERO,
roundingMask = roundToNearest | roundDown
| roundUp | roundToZero,
}
}
/***
* Change the floating-point hardware rounding mode
*
* Changing the rounding mode in the middle of a function can interfere
* with optimizations of floating point expressions, as the optimizer assumes
* that the rounding mode does not change.
* It is best to change the rounding mode only at the
* beginning of the function, and keep it until the function returns.
* It is also best to add the line:
* ---
* pragma(inline, false);
* ---
* as the first line of the function so it will not get inlined.
* Params:
* newMode = the new rounding mode
*/
@property void rounding(RoundingMode newMode) @trusted
{
initialize();
setControlState((getControlState() & (-1 - roundingMask)) | (newMode & roundingMask));
}
/// Returns: the currently active rounding mode
@property static RoundingMode rounding() @trusted pure
{
return cast(RoundingMode)(getControlState() & roundingMask);
}
alias ExceptionMask = uint; ///
version (StdDdoc)
{
enum : ExceptionMask
{
/** IEEE hardware exceptions.
* By default, all exceptions are masked (disabled).
*
* severeExceptions = The overflow, division by zero, and invalid
* exceptions.
*/
subnormalException,
inexactException, /// ditto
underflowException, /// ditto
overflowException, /// ditto
divByZeroException, /// ditto
invalidException, /// ditto
severeExceptions, /// ditto
allExceptions, /// ditto
}
}
else version (ARM_Any)
{
enum : ExceptionMask
{
subnormalException = 0x8000,
inexactException = 0x1000,
underflowException = 0x0800,
overflowException = 0x0400,
divByZeroException = 0x0200,
invalidException = 0x0100,
severeExceptions = overflowException | divByZeroException
| invalidException,
allExceptions = severeExceptions | underflowException
| inexactException | subnormalException,
}
}
else version (PPC_Any)
{
enum : ExceptionMask
{
inexactException = 0x0008,
divByZeroException = 0x0010,
underflowException = 0x0020,
overflowException = 0x0040,
invalidException = 0x0080,
severeExceptions = overflowException | divByZeroException
| invalidException,
allExceptions = severeExceptions | underflowException
| inexactException,
}
}
else version (RISCV_Any)
{
enum : ExceptionMask
{
inexactException = 0x01,
divByZeroException = 0x02,
underflowException = 0x04,
overflowException = 0x08,
invalidException = 0x10,
severeExceptions = overflowException | divByZeroException
| invalidException,
allExceptions = severeExceptions | underflowException
| inexactException,
}
}
else version (HPPA)
{
enum : ExceptionMask
{
inexactException = 0x01,
underflowException = 0x02,
overflowException = 0x04,
divByZeroException = 0x08,
invalidException = 0x10,
severeExceptions = overflowException | divByZeroException
| invalidException,
allExceptions = severeExceptions | underflowException
| inexactException,
}
}
else version (MIPS_Any)
{
enum : ExceptionMask
{
inexactException = 0x0080,
divByZeroException = 0x0400,
overflowException = 0x0200,
underflowException = 0x0100,
invalidException = 0x0800,
severeExceptions = overflowException | divByZeroException
| invalidException,
allExceptions = severeExceptions | underflowException
| inexactException,
}
}
else version (SPARC_Any)
{
enum : ExceptionMask
{
inexactException = 0x0800000,
divByZeroException = 0x1000000,
overflowException = 0x4000000,
underflowException = 0x2000000,
invalidException = 0x8000000,
severeExceptions = overflowException | divByZeroException
| invalidException,
allExceptions = severeExceptions | underflowException
| inexactException,
}
}
else version (IBMZ_Any)
{
enum : ExceptionMask
{
inexactException = 0x08000000,
divByZeroException = 0x40000000,
overflowException = 0x20000000,
underflowException = 0x10000000,
invalidException = 0x80000000,
severeExceptions = overflowException | divByZeroException
| invalidException,
allExceptions = severeExceptions | underflowException
| inexactException,
}
}
else version (X86_Any)
{
enum : ExceptionMask
{
inexactException = 0x20,
underflowException = 0x10,
overflowException = 0x08,
divByZeroException = 0x04,
subnormalException = 0x02,
invalidException = 0x01,
severeExceptions = overflowException | divByZeroException
| invalidException,
allExceptions = severeExceptions | underflowException
| inexactException | subnormalException,
}
}
else
static assert(false, "Not implemented for this architecture");
version (ARM_Any)
{
static bool hasExceptionTraps_impl() @safe
{
auto oldState = getControlState();
// If exceptions are not supported, we set the bit but read it back as zero
// https://sourceware.org/ml/libc-ports/2012-06/msg00091.html
setControlState(oldState | divByZeroException);
immutable result = (getControlState() & allExceptions) != 0;
setControlState(oldState);
return result;
}
}
/// Returns: true if the current FPU supports exception trapping
@property static bool hasExceptionTraps() @safe pure
{
version (X86_Any)
return true;
else version (PPC_Any)
return true;
else version (MIPS_Any)
return true;
else version (ARM_Any)
{
// The hasExceptionTraps_impl function is basically pure,
// as it restores all global state
auto fptr = ( () @trusted => cast(bool function() @safe
pure nothrow @nogc)&hasExceptionTraps_impl)();
return fptr();
}
else
assert(0, "Not yet supported");
}
/// Enable (unmask) specific hardware exceptions. Multiple exceptions may be ORed together.
void enableExceptions(ExceptionMask exceptions) @trusted
{
assert(hasExceptionTraps);
initialize();
version (X86_Any)
setControlState(getControlState() & ~(exceptions & allExceptions));
else
setControlState(getControlState() | (exceptions & allExceptions));
}
/// Disable (mask) specific hardware exceptions. Multiple exceptions may be ORed together.
void disableExceptions(ExceptionMask exceptions) @trusted
{
assert(hasExceptionTraps);
initialize();
version (X86_Any)
setControlState(getControlState() | (exceptions & allExceptions));
else
setControlState(getControlState() & ~(exceptions & allExceptions));
}
/// Returns: the exceptions which are currently enabled (unmasked)
@property static ExceptionMask enabledExceptions() @trusted pure
{
assert(hasExceptionTraps);
version (X86_Any)
return (getControlState() & allExceptions) ^ allExceptions;
else
return (getControlState() & allExceptions);
}
/// Clear all pending exceptions, then restore the original exception state and rounding mode.
~this() @trusted
{
clearExceptions();
if (initialized)
setControlState(savedState);
}
private:
ControlState savedState;
bool initialized = false;
version (ARM_Any)
{
alias ControlState = uint;
}
else version (HPPA)
{
alias ControlState = uint;
}
else version (PPC_Any)
{
alias ControlState = uint;
}
else version (RISCV_Any)
{
alias ControlState = uint;
}
else version (MIPS_Any)
{
alias ControlState = uint;
}
else version (SPARC_Any)
{
alias ControlState = ulong;
}
else version (IBMZ_Any)
{
alias ControlState = uint;
}
else version (X86_Any)
{
alias ControlState = ushort;
}
else
static assert(false, "Not implemented for this architecture");
void initialize() @safe
{
// BUG: This works around the absence of this() constructors.
if (initialized) return;
clearExceptions();
savedState = getControlState();
initialized = true;
}
// Clear all pending exceptions
static void clearExceptions() @safe
{
version (LDC)
{
version (X86_Any)
{
resetIeeeFlags();
}
else version (PPC_Any)
{
asm pure nothrow @nogc @safe
{
`mtfsb0 24
mtfsb0 25
mtfsb0 26
mtfsb0 27
mtfsb0 28`;
}
}
else version (MIPS_Any)
{
version (D_LP64) enum mask = 0xFFFFF07Fu;
else enum mask = 0xF07Fu;
const cs = getControlState();
setControlState(cs & mask);
}
else version (ARM_Any)
{
resetIeeeFlags();
}
else
static assert(false, "Not implemented for this architecture");
}
else version (IeeeFlagsSupport)
resetIeeeFlags();
else
static assert(false, "Not implemented for this architecture");
}
// Read from the control register
package(std.math) static ControlState getControlState() @trusted pure
{
version (LDC)
{
ControlState cont;
version (X86)
{
asm pure nothrow @nogc
{
`xor %%eax, %%eax
fstcw %0`
: "=m" (cont)
:
: "eax";
}
}
else version (X86_64)
{
asm pure nothrow @nogc
{
`xor %%rax, %%rax
fstcw %0`
: "=m" (cont)
:
: "rax";
}
}
else version (PPC_Any)
{
double fspr;
asm pure nothrow @nogc { "mffs %0" : "=f" (fspr); }
cont = cast(ControlState) *cast(ulong*) &fspr;
}
else version (MIPS_Any)
{
asm pure nothrow @nogc
{
`.set noat
cfc1 %0, $31
.set at`
: "=r" (cont);
}
}
else version (AArch64)
{
asm pure nothrow @nogc { "mrs %0, FPCR" : "=r" (cont); }
}
else version (ARM)
{
asm pure nothrow @nogc { "vmrs %0, FPSCR" : "=r" (cont); }
}
else
assert(0, "Not yet supported");
return cont;
}
else version (D_InlineAsm_X86)
{
short cont;
asm pure nothrow @nogc
{
xor EAX, EAX;
fstcw cont;
}
return cont;
}
else version (D_InlineAsm_X86_64)
{
short cont;
asm pure nothrow @nogc
{
xor RAX, RAX;
fstcw cont;
}
return cont;
}
else version (RISCV_Any)
{
mixin(`
ControlState cont;
asm pure nothrow @nogc
{
"frcsr %0" : "=r" (cont);
}
return cont;
`);
}
else
assert(0, "Not yet supported");
}
// Set the control register
package(std.math) static void setControlState(ControlState newState) @trusted
{
version (InlineAsm_X86_Any)
{
version (LDC)
{
asm nothrow @nogc
{
`fclex
fldcw %0`
:
: "m" (newState)
: "fpsw";
}
}
else
{
asm nothrow @nogc
{
fclex;
fldcw newState;
}
}
// Also update MXCSR, SSE's control register.
if (haveSSE)
{
uint mxcsr;
version (LDC)
{
asm nothrow @nogc { "stmxcsr %0" : "=m" (mxcsr); }
}
else
{
asm nothrow @nogc { stmxcsr mxcsr; }
}
/* In the FPU control register, rounding mode is in bits 10 and
11. In MXCSR it's in bits 13 and 14. */
mxcsr &= ~(roundingMask << 3); // delete old rounding mode
mxcsr |= (newState & roundingMask) << 3; // write new rounding mode
/* In the FPU control register, masks are bits 0 through 5.
In MXCSR they're 7 through 12. */
mxcsr &= ~(allExceptions << 7); // delete old masks
mxcsr |= (newState & allExceptions) << 7; // write new exception masks
version (LDC)
{
asm nothrow @nogc { "ldmxcsr %0" : : "m" (mxcsr) : "flags"; }
}
else
{
asm nothrow @nogc { ldmxcsr mxcsr; }
}
}
}
else version (RISCV_Any)
{
mixin(`
asm pure nothrow @nogc
{
"fscsr %0" : : "r" (newState);
}
`);
}
else version (LDC)
{
version (PPC_Any)
{
ulong tmpState = newState;
double fspr = *cast(double*) &tmpState;
asm nothrow @nogc { "mtfsf 0x0f, %0" : : "f" (fspr); }
}
else version (MIPS_Any)
{
asm nothrow @nogc
{
`.set noat
ctc1 %0, $31
.set at`
:
: "r" (newState);
}
}
else version (AArch64)
{
asm nothrow @nogc { "msr FPCR, %0" : : "r" (newState); }
}
else version (ARM)
{
asm nothrow @nogc { "vmsr FPSCR, %0" : : "r" (newState); }
}
else
assert(0, "Not yet supported");
}
else
assert(0, "Not yet supported");
}
}
///
@optStrategy("none") // LDC
@safe unittest
{
import std.math.rounding : lrint;
FloatingPointControl fpctrl;
fpctrl.rounding = FloatingPointControl.roundDown;
assert(lrint(1.5) == 1.0);
fpctrl.rounding = FloatingPointControl.roundUp;
assert(lrint(1.4) == 2.0);
fpctrl.rounding = FloatingPointControl.roundToNearest;
assert(lrint(1.5) == 2.0);
}
@safe unittest
{
void ensureDefaults()
{
assert(FloatingPointControl.rounding
== FloatingPointControl.roundToNearest);
if (FloatingPointControl.hasExceptionTraps)
assert(FloatingPointControl.enabledExceptions == 0);
}
{
FloatingPointControl ctrl;
}
ensureDefaults();
{
FloatingPointControl ctrl;
ctrl.rounding = FloatingPointControl.roundDown;
assert(FloatingPointControl.rounding == FloatingPointControl.roundDown);
}
ensureDefaults();
if (FloatingPointControl.hasExceptionTraps)
{
FloatingPointControl ctrl;
ctrl.enableExceptions(FloatingPointControl.divByZeroException
| FloatingPointControl.overflowException);
assert(ctrl.enabledExceptions ==
(FloatingPointControl.divByZeroException
| FloatingPointControl.overflowException));
ctrl.rounding = FloatingPointControl.roundUp;
assert(FloatingPointControl.rounding == FloatingPointControl.roundUp);
}
ensureDefaults();
}
version (LDC)
{
// TODO: most likely issue #888 again, verify
// Linux x86_64: debug works, release fails
// Win64: debug and release fail
}
else
@safe unittest // rounding
{
import std.meta : AliasSeq;
static T addRound(T)(uint rm)
{
pragma(inline, false) static void blockopt(ref T x) {}
pragma(inline, false);
FloatingPointControl fpctrl;
fpctrl.rounding = rm;
T x = 1;
blockopt(x); // avoid constant propagation by the optimizer
x += 0.1L;
return x;
}
static T subRound(T)(uint rm)
{
pragma(inline, false) static void blockopt(ref T x) {}
pragma(inline, false);
FloatingPointControl fpctrl;
fpctrl.rounding = rm;
T x = -1;
blockopt(x); // avoid constant propagation by the optimizer
x -= 0.1L;
return x;
}
static foreach (T; AliasSeq!(float, double, real))
{{
/* Be careful with changing the rounding mode, it interferes
* with common subexpressions. Changing rounding modes should
* be done with separate functions that are not inlined.
*/
{
T u = addRound!(T)(FloatingPointControl.roundUp);
T d = addRound!(T)(FloatingPointControl.roundDown);
T z = addRound!(T)(FloatingPointControl.roundToZero);
assert(u > d);
assert(z == d);
}
{
T u = subRound!(T)(FloatingPointControl.roundUp);
T d = subRound!(T)(FloatingPointControl.roundDown);
T z = subRound!(T)(FloatingPointControl.roundToZero);
assert(u > d);
assert(z == u);
}
}}
}
}
|