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author | Nicolas Pitre <nico@cam.org> | 2004-10-21 04:22:01 +0000 |
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committer | Nicolas Pitre <nico@gcc.gnu.org> | 2004-10-21 04:22:01 +0000 |
commit | 6883a6662fc7728a539230ea1b02efd47815d705 (patch) | |
tree | 9fda943368aa15ad74a4a037362c1ee02af23752 /gcc/config/arm/ieee754-df.S | |
parent | 0aab7a4b725f565fcd1dbc85c798a2dc88914c2c (diff) | |
download | gcc-6883a6662fc7728a539230ea1b02efd47815d705.zip gcc-6883a6662fc7728a539230ea1b02efd47815d705.tar.gz gcc-6883a6662fc7728a539230ea1b02efd47815d705.tar.bz2 |
ieee754-sf.S: Large speed improvements.
* config/arm/ieee754-sf.S: Large speed improvements. Fix NAN handling.
* config/arm/ieee754-df.S: Ditto.
From-SVN: r89364
Diffstat (limited to 'gcc/config/arm/ieee754-df.S')
-rw-r--r-- | gcc/config/arm/ieee754-df.S | 983 |
1 files changed, 461 insertions, 522 deletions
diff --git a/gcc/config/arm/ieee754-df.S b/gcc/config/arm/ieee754-df.S index af32b9e..b9cf52e 100644 --- a/gcc/config/arm/ieee754-df.S +++ b/gcc/config/arm/ieee754-df.S @@ -60,6 +60,7 @@ ARM_FUNC_START negdf2 ARM_FUNC_ALIAS aeabi_dneg negdf2 + @ flip sign bit eor xh, xh, #0x80000000 RET @@ -76,10 +77,10 @@ ARM_FUNC_START aeabi_drsub eor xh, xh, #0x80000000 @ flip sign bit of first arg b 1f - ARM_FUNC_START subdf3 +ARM_FUNC_START subdf3 ARM_FUNC_ALIAS aeabi_dsub subdf3 - @ flip sign bit of second arg - eor yh, yh, #0x80000000 + + eor yh, yh, #0x80000000 @ flip sign bit of second arg #if defined(__thumb__) && !defined(__THUMB_INTERWORK__) b 1f @ Skip Thumb-code prologue #endif @@ -87,36 +88,23 @@ ARM_FUNC_ALIAS aeabi_dsub subdf3 ARM_FUNC_START adddf3 ARM_FUNC_ALIAS aeabi_dadd adddf3 -1: @ Compare both args, return zero if equal but the sign. - teq xl, yl - eoreq ip, xh, yh - teqeq ip, #0x80000000 - beq LSYM(Lad_z) - - @ If first arg is 0 or -0, return second arg. - @ If second arg is 0 or -0, return first arg. - orrs ip, xl, xh, lsl #1 - moveq xl, yl - moveq xh, yh - orrnes ip, yl, yh, lsl #1 - RETc(eq) - - stmfd sp!, {r4, r5, lr} - - @ Mask out exponents. - mov ip, #0x7f000000 - orr ip, ip, #0x00f00000 - and r4, xh, ip - and r5, yh, ip +1: stmfd sp!, {r4, r5, lr} - @ If either of them is 0x7ff, result will be INF or NAN - teq r4, ip - teqne r5, ip - beq LSYM(Lad_i) + @ Look for zeroes, equal values, INF, or NAN. + mov r4, xh, lsl #1 + mov r5, yh, lsl #1 + teq r4, r5 + teqeq xl, yl + orrnes ip, r4, xl + orrnes ip, r5, yl + mvnnes ip, r4, asr #21 + mvnnes ip, r5, asr #21 + beq LSYM(Lad_s) @ Compute exponent difference. Make largest exponent in r4, @ corresponding arg in xh-xl, and positive exponent difference in r5. - subs r5, r5, r4 + mov r4, r4, lsr #21 + rsbs r5, r4, r5, lsr #21 rsblt r5, r5, #0 ble 1f add r4, r4, r5 @@ -127,24 +115,24 @@ ARM_FUNC_ALIAS aeabi_dadd adddf3 eor yl, xl, yl eor yh, xh, yh 1: - @ If exponent difference is too large, return largest argument @ already in xh-xl. We need up to 54 bit to handle proper rounding @ of 0x1p54 - 1.1. - cmp r5, #(54 << 20) + cmp r5, #54 RETLDM "r4, r5" hi @ Convert mantissa to signed integer. tst xh, #0x80000000 - bic xh, xh, ip, lsl #1 - orr xh, xh, #0x00100000 + mov xh, xh, lsl #12 + mov ip, #0x00100000 + orr xh, ip, xh, lsr #12 beq 1f rsbs xl, xl, #0 rsc xh, xh, #0 1: tst yh, #0x80000000 - bic yh, yh, ip, lsl #1 - orr yh, yh, #0x00100000 + mov yh, yh, lsl #12 + orr yh, ip, yh, lsr #12 beq 1f rsbs yl, yl, #0 rsc yh, yh, #0 @@ -154,42 +142,30 @@ ARM_FUNC_ALIAS aeabi_dadd adddf3 teq r4, r5 beq LSYM(Lad_d) LSYM(Lad_x): - @ Scale down second arg with exponent difference. - @ Apply shift one bit left to first arg and the rest to second arg - @ to simplify things later, but only if exponent does not become 0. - mov ip, #0 - movs r5, r5, lsr #20 - beq 3f - teq r4, #(1 << 20) - beq 1f - movs xl, xl, lsl #1 - adc xh, ip, xh, lsl #1 - sub r4, r4, #(1 << 20) - subs r5, r5, #1 - beq 3f - @ Shift yh-yl right per r5, keep leftover bits into ip. -1: rsbs lr, r5, #32 - blt 2f + @ Compensate for the exponent overlapping the mantissa MSB added later + sub r4, r4, #1 + + @ Shift yh-yl right per r5, add to xh-xl, keep leftover bits into ip. + rsbs lr, r5, #32 + blt 1f mov ip, yl, lsl lr - mov yl, yl, lsr r5 - orr yl, yl, yh, lsl lr - mov yh, yh, asr r5 - b 3f -2: sub r5, r5, #32 + adds xl, xl, yl, lsr r5 + adc xh, xh, #0 + adds xl, xl, yh, lsl lr + adcs xh, xh, yh, asr r5 + b 2f +1: sub r5, r5, #32 add lr, lr, #32 cmp yl, #1 - adc ip, ip, yh, lsl lr - mov yl, yh, asr r5 - mov yh, yh, asr #32 -3: - @ the actual addition - adds xl, xl, yl - adc xh, xh, yh - + mov ip, yh, lsl lr + orrcs ip, ip, #2 @ 2 not 1, to allow lsr #1 later + adds xl, xl, yh, asr r5 + adcs xh, xh, yh, asr #31 +2: @ We now have a result in xh-xl-ip. - @ Keep absolute value in xh-xl-ip, sign in r5. - ands r5, xh, #0x80000000 + @ Keep absolute value in xh-xl-ip, sign in r5 (the n bit was set above) + and r5, xh, #0x80000000 bpl LSYM(Lad_p) rsbs ip, ip, #0 rscs xl, xl, #0 @@ -198,75 +174,66 @@ LSYM(Lad_x): @ Determine how to normalize the result. LSYM(Lad_p): cmp xh, #0x00100000 - bcc LSYM(Lad_l) + bcc LSYM(Lad_a) cmp xh, #0x00200000 - bcc LSYM(Lad_r0) - cmp xh, #0x00400000 - bcc LSYM(Lad_r1) + bcc LSYM(Lad_e) @ Result needs to be shifted right. movs xh, xh, lsr #1 movs xl, xl, rrx - movs ip, ip, rrx - orrcs ip, ip, #1 - add r4, r4, #(1 << 20) -LSYM(Lad_r1): - movs xh, xh, lsr #1 - movs xl, xl, rrx - movs ip, ip, rrx - orrcs ip, ip, #1 - add r4, r4, #(1 << 20) + mov ip, ip, rrx + add r4, r4, #1 + + @ Make sure we did not bust our exponent. + mov r2, r4, lsl #21 + cmn r2, #(2 << 21) + bcs LSYM(Lad_o) @ Our result is now properly aligned into xh-xl, remaining bits in ip. @ Round with MSB of ip. If halfway between two numbers, round towards @ LSB of xl = 0. -LSYM(Lad_r0): - adds xl, xl, ip, lsr #31 - adc xh, xh, #0 - teq ip, #0x80000000 - biceq xl, xl, #1 - - @ One extreme rounding case may add a new MSB. Adjust exponent. - @ That MSB will be cleared when exponent is merged below. - tst xh, #0x00200000 - addne r4, r4, #(1 << 20) - - @ Make sure we did not bust our exponent. - adds ip, r4, #(1 << 20) - bmi LSYM(Lad_o) - @ Pack final result together. LSYM(Lad_e): - bic xh, xh, #0x00300000 - orr xh, xh, r4 + cmp ip, #0x80000000 + moveqs ip, xl, lsr #1 + adcs xl, xl, #0 + adc xh, xh, r4, lsl #20 orr xh, xh, r5 RETLDM "r4, r5" -LSYM(Lad_l): @ Result must be shifted left and exponent adjusted. - @ No rounding necessary since ip will always be 0. +LSYM(Lad_a): + movs ip, ip, lsl #1 + adcs xl, xl, xl + adc xh, xh, xh + tst xh, #0x00100000 + sub r4, r4, #1 + bne LSYM(Lad_e) + + @ No rounding necessary since ip will always be 0 at this point. +LSYM(Lad_l): + #if __ARM_ARCH__ < 5 teq xh, #0 - movne r3, #-11 - moveq r3, #21 + movne r3, #20 + moveq r3, #52 moveq xh, xl moveq xl, #0 mov r2, xh - movs ip, xh, lsr #16 - moveq r2, r2, lsl #16 - addeq r3, r3, #16 - tst r2, #0xff000000 - moveq r2, r2, lsl #8 - addeq r3, r3, #8 - tst r2, #0xf0000000 - moveq r2, r2, lsl #4 - addeq r3, r3, #4 - tst r2, #0xc0000000 - moveq r2, r2, lsl #2 - addeq r3, r3, #2 - tst r2, #0x80000000 - addeq r3, r3, #1 + cmp r2, #(1 << 16) + movhs r2, r2, lsr #16 + subhs r3, r3, #16 + cmp r2, #(1 << 8) + movhs r2, r2, lsr #8 + subhs r3, r3, #8 + cmp r2, #(1 << 4) + movhs r2, r2, lsr #4 + subhs r3, r3, #4 + cmp r2, #(1 << 2) + subhs r3, r3, #2 + sublo r3, r3, r2, lsr #1 + sub r3, r3, r2, lsr #3 #else @@ -302,13 +269,15 @@ LSYM(Lad_l): movle xl, xl, lsl r2 @ adjust exponent accordingly. -3: subs r4, r4, r3, lsl #20 - bgt LSYM(Lad_e) +3: subs r4, r4, r3 + addge xh, xh, r4, lsl #20 + orrge xh, xh, r5 + RETLDM "r4, r5" ge @ Exponent too small, denormalize result. @ Find out proper shift value. - mvn r4, r4, asr #20 - subs r4, r4, #30 + mvn r4, r4 + subs r4, r4, #31 bge 2f adds r4, r4, #12 bgt 1f @@ -337,23 +306,49 @@ LSYM(Lad_l): RETLDM "r4, r5" @ Adjust exponents for denormalized arguments. + @ Note that r4 must not remain equal to 0. LSYM(Lad_d): teq r4, #0 - eoreq xh, xh, #0x00100000 - addeq r4, r4, #(1 << 20) eor yh, yh, #0x00100000 - subne r5, r5, #(1 << 20) + eoreq xh, xh, #0x00100000 + addeq r4, r4, #1 + subne r5, r5, #1 b LSYM(Lad_x) - @ Result is x - x = 0, unless x = INF or NAN. -LSYM(Lad_z): - sub ip, ip, #0x00100000 @ ip becomes 0x7ff00000 - and r2, xh, ip - teq r2, ip - orreq xh, ip, #0x00080000 + +LSYM(Lad_s): + mvns ip, r4, asr #21 + mvnnes ip, r5, asr #21 + beq LSYM(Lad_i) + + teq r4, r5 + teqeq xl, yl + beq 1f + + @ Result is x + 0.0 = x or 0.0 + y = y. + teq r4, #0 + moveq xh, yh + moveq xl, yl + RETLDM "r4, r5" + +1: teq xh, yh + + @ Result is x - x = 0. movne xh, #0 - mov xl, #0 - RET + movne xl, #0 + RETLDM "r4, r5" ne + + @ Result is x + x = 2x. + movs ip, r4, lsr #21 + bne 2f + movs xl, xl, lsl #1 + adcs xh, xh, xh + orrcs xh, xh, #0x80000000 + RETLDM "r4, r5" +2: adds r4, r4, #(2 << 21) + addcc xh, xh, #(1 << 20) + RETLDM "r4, r5" cc + and r5, xh, #0x80000000 @ Overflow: return INF. LSYM(Lad_o): @@ -367,19 +362,18 @@ LSYM(Lad_o): @ if yh-yl != INF/NAN: return xh-xl (which is INF/NAN) @ if either is NAN: return NAN @ if opposite sign: return NAN - @ return xh-xl (which is INF or -INF) + @ otherwise return xh-xl (which is INF or -INF) LSYM(Lad_i): - teq r4, ip + mvns ip, r4, asr #21 movne xh, yh movne xl, yl - teqeq r5, ip - RETLDM "r4, r5" ne - + mvneqs ip, r5, asr #21 + movne yh, xh + movne yl, xl orrs r4, xl, xh, lsl #12 - orreqs r4, yl, yh, lsl #12 + orreqs r5, yl, yh, lsl #12 teqeq xh, yh - orrne xh, r5, #0x00080000 - movne xl, #0 + orrne xh, xh, #0x00080000 @ quiet NAN RETLDM "r4, r5" FUNC_END aeabi_dsub @@ -389,14 +383,17 @@ LSYM(Lad_i): ARM_FUNC_START floatunsidf ARM_FUNC_ALIAS aeabi_ui2d floatunsidf + teq r0, #0 moveq r1, #0 RETc(eq) stmfd sp!, {r4, r5, lr} - mov r4, #(0x400 << 20) @ initial exponent - add r4, r4, #((52-1) << 20) + mov r4, #0x400 @ initial exponent + add r4, r4, #(52-1 - 1) mov r5, #0 @ sign bit is 0 + .ifnc xl, r0 mov xl, r0 + .endif mov xh, #0 b LSYM(Lad_l) @@ -405,15 +402,18 @@ ARM_FUNC_ALIAS aeabi_ui2d floatunsidf ARM_FUNC_START floatsidf ARM_FUNC_ALIAS aeabi_i2d floatsidf + teq r0, #0 moveq r1, #0 RETc(eq) stmfd sp!, {r4, r5, lr} - mov r4, #(0x400 << 20) @ initial exponent - add r4, r4, #((52-1) << 20) + mov r4, #0x400 @ initial exponent + add r4, r4, #(52-1 - 1) ands r5, r0, #0x80000000 @ sign bit in r5 rsbmi r0, r0, #0 @ absolute value + .ifnc xl, r0 mov xl, r0 + .endif mov xh, #0 b LSYM(Lad_l) @@ -422,26 +422,23 @@ ARM_FUNC_ALIAS aeabi_i2d floatsidf ARM_FUNC_START extendsfdf2 ARM_FUNC_ALIAS aeabi_f2d extendsfdf2 - - movs r2, r0, lsl #1 - beq 1f @ value is 0.0 or -0.0 + + movs r2, r0, lsl #1 @ toss sign bit mov xh, r2, asr #3 @ stretch exponent mov xh, xh, rrx @ retrieve sign bit mov xl, r2, lsl #28 @ retrieve remaining bits - ands r2, r2, #0xff000000 @ isolate exponent - beq 2f @ exponent was 0 but not mantissa - teq r2, #0xff000000 @ check if INF or NAN + andnes r3, r2, #0xff000000 @ isolate exponent + teqne r3, #0xff000000 @ if not 0, check if INF or NAN eorne xh, xh, #0x38000000 @ fixup exponent otherwise. - RET + RETc(ne) @ and return it. -1: mov xh, r0 - mov xl, #0 - RET + teq r2, #0 @ if actually 0 + teqne r3, #0xff000000 @ or INF or NAN + RETc(eq) @ we are done already. -2: @ value was denormalized. We can normalize it now. + @ value was denormalized. We can normalize it now. stmfd sp!, {r4, r5, lr} - mov r4, #(0x380 << 20) @ setup corresponding exponent - add r4, r4, #(1 << 20) + mov r4, #0x380 @ setup corresponding exponent and r5, xh, #0x80000000 @ move sign bit in r5 bic xh, xh, #0x80000000 b LSYM(Lad_l) @@ -451,76 +448,90 @@ ARM_FUNC_ALIAS aeabi_f2d extendsfdf2 ARM_FUNC_START floatundidf ARM_FUNC_ALIAS aeabi_ul2d floatundidf - + orrs r2, r0, r1 #if !defined (__VFP_FP__) && !defined(__SOFTFP__) mvfeqd f0, #0.0 #endif RETc(eq) + #if !defined (__VFP_FP__) && !defined(__SOFTFP__) @ For hard FPA code we want to return via the tail below so that @ we can return the result in f0 as well as in r0/r1 for backwards @ compatibility. - adr ip, 1f + adr ip, LSYM(f0_ret) stmfd sp!, {r4, r5, ip, lr} #else stmfd sp!, {r4, r5, lr} #endif + mov r5, #0 b 2f ARM_FUNC_START floatdidf ARM_FUNC_ALIAS aeabi_l2d floatdidf + orrs r2, r0, r1 #if !defined (__VFP_FP__) && !defined(__SOFTFP__) mvfeqd f0, #0.0 #endif RETc(eq) + #if !defined (__VFP_FP__) && !defined(__SOFTFP__) @ For hard FPA code we want to return via the tail below so that @ we can return the result in f0 as well as in r0/r1 for backwards @ compatibility. - adr ip, 1f + adr ip, LSYM(f0_ret) stmfd sp!, {r4, r5, ip, lr} #else stmfd sp!, {r4, r5, lr} #endif + ands r5, ah, #0x80000000 @ sign bit in r5 bpl 2f rsbs al, al, #0 rsc ah, ah, #0 2: - mov r4, #(0x400 << 20) @ initial exponent - add r4, r4, #((52 - 1) << 20) -#if !defined (__VFP_FP__) && !defined(__ARMEB__) + mov r4, #0x400 @ initial exponent + add r4, r4, #(52-1 - 1) + @ FPA little-endian: must swap the word order. + .ifnc xh, ah mov ip, al mov xh, ah mov xl, ip -#endif - movs ip, xh, lsr #23 + .endif + + movs ip, xh, lsr #22 beq LSYM(Lad_p) - @ The value's too big. Scale it down a bit... + + @ The value is too big. Scale it down a bit... mov r2, #3 movs ip, ip, lsr #3 addne r2, r2, #3 movs ip, ip, lsr #3 addne r2, r2, #3 + add r2, r2, ip + rsb r3, r2, #32 mov ip, xl, lsl r3 mov xl, xl, lsr r2 orr xl, xl, xh, lsl r3 mov xh, xh, lsr r2 - add r4, r4, r2, lsl #20 + add r4, r4, r2 b LSYM(Lad_p) + #if !defined (__VFP_FP__) && !defined(__SOFTFP__) -1: + @ Legacy code expects the result to be returned in f0. Copy it @ there as well. +LSYM(f0_ret): stmfd sp!, {r0, r1} ldfd f0, [sp], #8 RETLDM + #endif + FUNC_END floatdidf FUNC_END aeabi_l2d FUNC_END floatundidf @@ -534,46 +545,38 @@ ARM_FUNC_START muldf3 ARM_FUNC_ALIAS aeabi_dmul muldf3 stmfd sp!, {r4, r5, r6, lr} - @ Mask out exponents. - mov ip, #0x7f000000 - orr ip, ip, #0x00f00000 - and r4, xh, ip - and r5, yh, ip - - @ Trap any INF/NAN. - teq r4, ip + @ Mask out exponents, trap any zero/denormal/INF/NAN. + mov ip, #0xff + orr ip, ip, #0x700 + ands r4, ip, xh, lsr #20 + andnes r5, ip, yh, lsr #20 + teqne r4, ip teqne r5, ip - beq LSYM(Lml_s) + bleq LSYM(Lml_s) - @ Trap any multiplication by 0. - orrs r6, xl, xh, lsl #1 - orrnes r6, yl, yh, lsl #1 - beq LSYM(Lml_z) - - @ Shift exponents right one bit to make room for overflow bit. - @ If either of them is 0, scale denormalized arguments off line. - @ Then add both exponents together. - movs r4, r4, lsr #1 - teqne r5, #0 - beq LSYM(Lml_d) -LSYM(Lml_x): - add r4, r4, r5, asr #1 - - @ Preserve final sign in r4 along with exponent for now. - teq xh, yh - orrmi r4, r4, #0x8000 + @ Add exponents together + add r4, r4, r5 + + @ Determine final sign. + eor r6, xh, yh @ Convert mantissa to unsigned integer. - bic xh, xh, ip, lsl #1 - bic yh, yh, ip, lsl #1 + @ If power of two, branch to a separate path. + bic xh, xh, ip, lsl #21 + bic yh, yh, ip, lsl #21 + orrs r5, xl, xh, lsl #12 + orrnes r5, yl, yh, lsl #12 orr xh, xh, #0x00100000 orr yh, yh, #0x00100000 + beq LSYM(Lml_1) #if __ARM_ARCH__ < 4 + @ Put sign bit in r6, which will be restored in yl later. + and r6, r6, #0x80000000 + @ Well, no way to make it shorter without the umull instruction. - @ We must perform that 53 x 53 bit multiplication by hand. - stmfd sp!, {r7, r8, r9, sl, fp} + stmfd sp!, {r6, r7, r8, r9, sl, fp} mov r7, xl, lsr #16 mov r8, yl, lsr #16 mov r9, xh, lsr #16 @@ -625,92 +628,83 @@ LSYM(Lml_x): mul fp, xh, yh adcs r5, r5, fp adc r6, r6, #0 - ldmfd sp!, {r7, r8, r9, sl, fp} + ldmfd sp!, {yl, r7, r8, r9, sl, fp} #else - @ Here is the actual multiplication: 53 bits * 53 bits -> 106 bits. + @ Here is the actual multiplication. umull ip, lr, xl, yl mov r5, #0 - umlal lr, r5, xl, yh umlal lr, r5, xh, yl + and yl, r6, #0x80000000 + umlal lr, r5, xl, yh mov r6, #0 umlal r5, r6, xh, yh #endif @ The LSBs in ip are only significant for the final rounding. - @ Fold them into one bit of lr. + @ Fold them into lr. teq ip, #0 orrne lr, lr, #1 - @ Put final sign in xh. - mov xh, r4, lsl #16 - bic r4, r4, #0x8000 - - @ Adjust result if one extra MSB appeared (one of four times). - tst r6, #(1 << 9) - beq 1f - add r4, r4, #(1 << 19) - movs r6, r6, lsr #1 - movs r5, r5, rrx - movs lr, lr, rrx - orrcs lr, lr, #1 -1: - @ Scale back to 53 bits. - @ xh contains sign bit already. - orr xh, xh, r6, lsl #12 - orr xh, xh, r5, lsr #20 - mov xl, r5, lsl #12 - orr xl, xl, lr, lsr #20 - - @ Apply exponent bias, check range for underflow. - sub r4, r4, #0x00f80000 - subs r4, r4, #0x1f000000 - ble LSYM(Lml_u) - - @ Round the result. - movs lr, lr, lsl #12 - bpl 1f - adds xl, xl, #1 - adc xh, xh, #0 - teq lr, #0x80000000 - biceq xl, xl, #1 - - @ Rounding may have produced an extra MSB here. - @ The extra bit is cleared before merging the exponent below. - tst xh, #0x00200000 - addne r4, r4, #(1 << 19) + @ Adjust result upon the MSB position. + sub r4, r4, #0xff + cmp r6, #(1 << (20-11)) + sbc r4, r4, #0x300 + bcs 1f + movs lr, lr, lsl #1 + adcs r5, r5, r5 + adc r6, r6, r6 1: - @ Check exponent for overflow. - adds ip, r4, #(1 << 19) - tst ip, #(1 << 30) - bne LSYM(Lml_o) - - @ Add final exponent. - bic xh, xh, #0x00300000 - orr xh, xh, r4, lsl #1 + @ Shift to final position, add sign to result. + orr xh, yl, r6, lsl #11 + orr xh, xh, r5, lsr #21 + mov xl, r5, lsl #11 + orr xl, xl, lr, lsr #21 + mov lr, lr, lsl #11 + + @ Check exponent range for under/overflow. + subs ip, r4, #(254 - 1) + cmphi ip, #0x700 + bhi LSYM(Lml_u) + + @ Round the result, merge final exponent. + cmp lr, #0x80000000 + moveqs lr, xl, lsr #1 + adcs xl, xl, #0 + adc xh, xh, r4, lsl #20 RETLDM "r4, r5, r6" - @ Result is 0, but determine sign anyway. -LSYM(Lml_z): + @ Multiplication by 0x1p*: let''s shortcut a lot of code. +LSYM(Lml_1): + and r6, r6, #0x80000000 + orr xh, r6, xh + orr xl, xl, yl eor xh, xh, yh -LSYM(Ldv_z): - bic xh, xh, #0x7fffffff - mov xl, #0 - RETLDM "r4, r5, r6" + subs r4, r4, ip, lsr #1 + rsbgts r5, r4, ip + orrgt xh, xh, r4, lsl #20 + RETLDM "r4, r5, r6" gt + + @ Under/overflow: fix things up for the code below. + orr xh, xh, #0x00100000 + mov lr, #0 + subs r4, r4, #1 - @ Check if denormalized result is possible, otherwise return signed 0. LSYM(Lml_u): - cmn r4, #(53 << 19) + @ Overflow? + bgt LSYM(Lml_o) + + @ Check if denormalized result is possible, otherwise return signed 0. + cmn r4, #(53 + 1) movle xl, #0 bicle xh, xh, #0x7fffffff RETLDM "r4, r5, r6" le @ Find out proper shift value. -LSYM(Lml_r): - mvn r4, r4, asr #19 - subs r4, r4, #30 + rsb r4, r4, #0 + subs r4, r4, #32 bge 2f adds r4, r4, #12 bgt 1f @@ -721,14 +715,12 @@ LSYM(Lml_r): mov r3, xl, lsl r5 mov xl, xl, lsr r4 orr xl, xl, xh, lsl r5 - movs xh, xh, lsl #1 - mov xh, xh, lsr r4 - mov xh, xh, rrx + and r2, xh, #0x80000000 + bic xh, xh, #0x80000000 adds xl, xl, r3, lsr #31 - adc xh, xh, #0 - teq lr, #0 - teqeq r3, #0x80000000 - biceq xl, xl, #1 + adc xh, r2, xh, lsr r4 + orrs lr, lr, r3, lsl #1 + biceq xl, xl, r3, lsr #31 RETLDM "r4, r5, r6" @ shift result right of 21 to 31 bits, or left 11 to 1 bits after @@ -741,53 +733,70 @@ LSYM(Lml_r): bic xh, xh, #0x7fffffff adds xl, xl, r3, lsr #31 adc xh, xh, #0 - teq lr, #0 - teqeq r3, #0x80000000 - biceq xl, xl, #1 + orrs lr, lr, r3, lsl #1 + biceq xl, xl, r3, lsr #31 RETLDM "r4, r5, r6" @ Shift value right of 32 to 64 bits, or 0 to 32 bits after a switch @ from xh to xl. Leftover bits are in r3-r6-lr for rounding. 2: rsb r5, r4, #32 - mov r6, xl, lsl r5 + orr lr, lr, xl, lsl r5 mov r3, xl, lsr r4 orr r3, r3, xh, lsl r5 mov xl, xh, lsr r4 bic xh, xh, #0x7fffffff bic xl, xl, xh, lsr r4 add xl, xl, r3, lsr #31 - orrs r6, r6, lr - teqeq r3, #0x80000000 - biceq xl, xl, #1 + orrs lr, lr, r3, lsl #1 + biceq xl, xl, r3, lsr #31 RETLDM "r4, r5, r6" @ One or both arguments are denormalized. @ Scale them leftwards and preserve sign bit. LSYM(Lml_d): - mov lr, #0 teq r4, #0 bne 2f and r6, xh, #0x80000000 1: movs xl, xl, lsl #1 - adc xh, lr, xh, lsl #1 + adc xh, xh, xh tst xh, #0x00100000 - subeq r4, r4, #(1 << 19) + subeq r4, r4, #1 beq 1b orr xh, xh, r6 teq r5, #0 - bne LSYM(Lml_x) + movne pc, lr 2: and r6, yh, #0x80000000 3: movs yl, yl, lsl #1 - adc yh, lr, yh, lsl #1 + adc yh, yh, yh tst yh, #0x00100000 - subeq r5, r5, #(1 << 20) + subeq r5, r5, #1 beq 3b orr yh, yh, r6 - b LSYM(Lml_x) + mov pc, lr - @ One or both args are INF or NAN. LSYM(Lml_s): + @ Isolate the INF and NAN cases away + teq r4, ip + and r5, ip, yh, lsr #20 + teqne r5, ip + beq 1f + + @ Here, one or more arguments are either denormalized or zero. + orrs r6, xl, xh, lsl #1 + orrnes r6, yl, yh, lsl #1 + bne LSYM(Lml_d) + + @ Result is 0, but determine sign anyway. +LSYM(Lml_z): + eor xh, xh, yh + bic xh, xh, #0x7fffffff + mov xl, #0 + RETLDM "r4, r5, r6" + +1: @ One or both args are INF or NAN. orrs r6, xl, xh, lsl #1 + moveq xl, yl + moveq xh, yh orrnes r6, yl, yh, lsl #1 beq LSYM(Lml_n) @ 0 * INF or INF * 0 -> NAN teq r4, ip @@ -797,6 +806,8 @@ LSYM(Lml_s): 1: teq r5, ip bne LSYM(Lml_i) orrs r6, yl, yh, lsl #12 + movne xl, yl + movne xh, yh bne LSYM(Lml_n) @ <anything> * NAN -> NAN @ Result is INF, but we need to determine its sign. @@ -811,9 +822,9 @@ LSYM(Lml_o): mov xl, #0 RETLDM "r4, r5, r6" - @ Return NAN. + @ Return a quiet NAN. LSYM(Lml_n): - mov xh, #0x7f000000 + orr xh, xh, #0x7f000000 orr xh, xh, #0x00f80000 RETLDM "r4, r5, r6" @@ -825,41 +836,31 @@ ARM_FUNC_ALIAS aeabi_ddiv divdf3 stmfd sp!, {r4, r5, r6, lr} - @ Mask out exponents. - mov ip, #0x7f000000 - orr ip, ip, #0x00f00000 - and r4, xh, ip - and r5, yh, ip - - @ Trap any INF/NAN or zeroes. - teq r4, ip + @ Mask out exponents, trap any zero/denormal/INF/NAN. + mov ip, #0xff + orr ip, ip, #0x700 + ands r4, ip, xh, lsr #20 + andnes r5, ip, yh, lsr #20 + teqne r4, ip teqne r5, ip - orrnes r6, xl, xh, lsl #1 - orrnes r6, yl, yh, lsl #1 - beq LSYM(Ldv_s) + bleq LSYM(Ldv_s) - @ Shift exponents right one bit to make room for overflow bit. - @ If either of them is 0, scale denormalized arguments off line. - @ Then substract divisor exponent from dividend''s. - movs r4, r4, lsr #1 - teqne r5, #0 - beq LSYM(Ldv_d) -LSYM(Ldv_x): - sub r4, r4, r5, asr #1 + @ Substract divisor exponent from dividend''s. + sub r4, r4, r5 @ Preserve final sign into lr. eor lr, xh, yh @ Convert mantissa to unsigned integer. @ Dividend -> r5-r6, divisor -> yh-yl. - mov r5, #0x10000000 + orrs r5, yl, yh, lsl #12 + mov xh, xh, lsl #12 + beq LSYM(Ldv_1) mov yh, yh, lsl #12 + mov r5, #0x10000000 orr yh, r5, yh, lsr #4 orr yh, yh, yl, lsr #24 - movs yl, yl, lsl #8 - mov xh, xh, lsl #12 - teqeq yh, r5 - beq LSYM(Ldv_1) + mov yl, yl, lsl #8 orr r5, r5, xh, lsr #4 orr r5, r5, xl, lsr #24 mov r6, xl, lsl #8 @@ -868,21 +869,15 @@ LSYM(Ldv_x): and xh, lr, #0x80000000 @ Ensure result will land to known bit position. + @ Apply exponent bias accordingly. cmp r5, yh cmpeq r6, yl + adc r4, r4, #(255 - 2) + add r4, r4, #0x300 bcs 1f - sub r4, r4, #(1 << 19) movs yh, yh, lsr #1 mov yl, yl, rrx 1: - @ Apply exponent bias, check range for over/underflow. - add r4, r4, #0x1f000000 - add r4, r4, #0x00f80000 - cmn r4, #(53 << 19) - ble LSYM(Ldv_z) - cmp r4, ip, lsr #1 - bge LSYM(Lml_o) - @ Perform first substraction to align result to a nibble. subs r6, r6, yl sbc r5, r5, yh @@ -944,73 +939,42 @@ LSYM(Ldv_x): orreq xh, xh, xl moveq xl, #0 3: - @ Check if denormalized result is needed. - cmp r4, #0 - ble LSYM(Ldv_u) + @ Check exponent range for under/overflow. + subs ip, r4, #(254 - 1) + cmphi ip, #0x700 + bhi LSYM(Lml_u) - @ Apply proper rounding. + @ Round the result, merge final exponent. subs ip, r5, yh subeqs ip, r6, yl + moveqs ip, xl, lsr #1 adcs xl, xl, #0 - adc xh, xh, #0 - teq ip, #0 - biceq xl, xl, #1 - - @ Add exponent to result. - bic xh, xh, #0x00100000 - orr xh, xh, r4, lsl #1 + adc xh, xh, r4, lsl #20 RETLDM "r4, r5, r6" @ Division by 0x1p*: shortcut a lot of code. LSYM(Ldv_1): and lr, lr, #0x80000000 orr xh, lr, xh, lsr #12 - add r4, r4, #0x1f000000 - add r4, r4, #0x00f80000 - cmp r4, ip, lsr #1 - bge LSYM(Lml_o) - cmp r4, #0 - orrgt xh, xh, r4, lsl #1 + adds r4, r4, ip, lsr #1 + rsbgts r5, r4, ip + orrgt xh, xh, r4, lsl #20 RETLDM "r4, r5, r6" gt - cmn r4, #(53 << 19) - ble LSYM(Ldv_z) orr xh, xh, #0x00100000 mov lr, #0 - b LSYM(Lml_r) + subs r4, r4, #1 + b LSYM(Lml_u) - @ Result must be denormalized: put remainder in lr for - @ rounding considerations. + @ Result mightt need to be denormalized: put remainder bits + @ in lr for rounding considerations. LSYM(Ldv_u): orr lr, r5, r6 - b LSYM(Lml_r) - - @ One or both arguments are denormalized. - @ Scale them leftwards and preserve sign bit. -LSYM(Ldv_d): - mov lr, #0 - teq r4, #0 - bne 2f - and r6, xh, #0x80000000 -1: movs xl, xl, lsl #1 - adc xh, lr, xh, lsl #1 - tst xh, #0x00100000 - subeq r4, r4, #(1 << 19) - beq 1b - orr xh, xh, r6 - teq r5, #0 - bne LSYM(Ldv_x) -2: and r6, yh, #0x80000000 -3: movs yl, yl, lsl #1 - adc yh, lr, yh, lsl #1 - tst yh, #0x00100000 - subeq r5, r5, #(1 << 20) - beq 3b - orr yh, yh, r6 - b LSYM(Ldv_x) + b LSYM(Lml_u) @ One or both arguments is either INF, NAN or zero. LSYM(Ldv_s): + and r5, ip, yh, lsr #20 teq r4, ip teqeq r5, ip beq LSYM(Lml_n) @ INF/NAN / INF/NAN -> NAN @@ -1018,13 +982,23 @@ LSYM(Ldv_s): bne 1f orrs r4, xl, xh, lsl #12 bne LSYM(Lml_n) @ NAN / <anything> -> NAN - b LSYM(Lml_i) @ INF / <anything> -> INF + teq r5, ip + bne LSYM(Lml_i) @ INF / <anything> -> INF + mov xl, yl + mov xh, yh + b LSYM(Lml_n) @ INF / (INF or NAN) -> NAN 1: teq r5, ip bne 2f orrs r5, yl, yh, lsl #12 - bne LSYM(Lml_n) @ <anything> / NAN -> NAN - b LSYM(Lml_z) @ <anything> / INF -> 0 -2: @ One or both arguments are 0. + beq LSYM(Lml_z) @ <anything> / INF -> 0 + mov xl, yl + mov xh, yh + b LSYM(Lml_n) @ <anything> / NAN -> NAN +2: @ If both are non-zero, we need to normalize and resume above. + orrs r6, xl, xh, lsl #1 + orrnes r6, yl, yh, lsl #1 + bne LSYM(Lml_d) + @ One or both arguments are 0. orrs r4, xl, xh, lsl #1 bne LSYM(Lml_i) @ <non_zero> / 0 -> INF orrs r5, yl, yh, lsl #1 @@ -1038,6 +1012,8 @@ LSYM(Ldv_s): #ifdef L_cmpdf2 +@ Note: only r0 (return value) and ip are clobbered here. + ARM_FUNC_START gtdf2 ARM_FUNC_ALIAS gedf2 gtdf2 mov ip, #-1 @@ -1053,15 +1029,13 @@ ARM_FUNC_ALIAS nedf2 cmpdf2 ARM_FUNC_ALIAS eqdf2 cmpdf2 mov ip, #1 @ how should we specify unordered here? -1: stmfd sp!, {r4, r5, lr} +1: str ip, [sp, #-4] @ Trap any INF/NAN first. - mov lr, #0x7f000000 - orr lr, lr, #0x00f00000 - and r4, xh, lr - and r5, yh, lr - teq r4, lr - teqne r5, lr + mov ip, xh, lsl #1 + mvns ip, ip, asr #21 + mov ip, yh, lsl #1 + mvnnes ip, ip, asr #21 beq 3f @ Test for equality. @@ -1071,37 +1045,37 @@ ARM_FUNC_ALIAS eqdf2 cmpdf2 teqne xh, yh @ or xh == yh teqeq xl, yl @ and xl == yl moveq r0, #0 @ then equal. - RETLDM "r4, r5" eq + RETc(eq) - @ Check for sign difference. - teq xh, yh - movmi r0, xh, asr #31 - orrmi r0, r0, #1 - RETLDM "r4, r5" mi + @ Clear C flag + cmn r0, #0 - @ Compare exponents. - cmp r4, r5 + @ Compare sign, + teq xh, yh - @ Compare mantissa if exponents are equal. - moveq xh, xh, lsl #12 - cmpeq xh, yh, lsl #12 + @ Compare values if same sign + cmppl xh, yh cmpeq xl, yl + + @ Result: movcs r0, yh, asr #31 mvncc r0, yh, asr #31 orr r0, r0, #1 - RETLDM "r4, r5" + RET @ Look for a NAN. -3: teq r4, lr +3: mov ip, xh, lsl #1 + mvns ip, ip, asr #21 bne 4f - orrs xl, xl, xh, lsl #12 + orrs ip, xl, xh, lsl #12 bne 5f @ x is NAN -4: teq r5, lr +4: mov ip, yh, lsl #1 + mvns ip, ip, asr #21 bne 2b - orrs yl, yl, yh, lsl #12 + orrs ip, yl, yh, lsl #12 beq 2b @ y is not NAN -5: mov r0, ip @ return unordered code from ip - RETLDM "r4, r5" +5: ldr r0, [sp, #-4] @ unordered return code + RET FUNC_END gedf2 FUNC_END gtdf2 @@ -1112,6 +1086,7 @@ ARM_FUNC_ALIAS eqdf2 cmpdf2 FUNC_END cmpdf2 ARM_FUNC_START aeabi_cdrcmple + mov ip, r0 mov r0, r2 mov r2, ip @@ -1122,85 +1097,95 @@ ARM_FUNC_START aeabi_cdrcmple ARM_FUNC_START aeabi_cdcmpeq ARM_FUNC_ALIAS aeabi_cdcmple aeabi_cdcmpeq + @ The status-returning routines are required to preserve all @ registers except ip, lr, and cpsr. -6: stmfd sp!, {r0, r1, r2, r3, lr} +6: stmfd sp!, {r0, lr} ARM_CALL cmpdf2 @ Set the Z flag correctly, and the C flag unconditionally. cmp r0, #0 @ Clear the C flag if the return value was -1, indicating @ that the first operand was smaller than the second. cmnmi r0, #0 - RETLDM "r0, r1, r2, r3" + RETLDM "r0" + FUNC_END aeabi_cdcmple FUNC_END aeabi_cdcmpeq + FUNC_END aeabi_cdrcmple ARM_FUNC_START aeabi_dcmpeq + str lr, [sp, #-4]! ARM_CALL aeabi_cdcmple moveq r0, #1 @ Equal to. movne r0, #0 @ Less than, greater than, or unordered. RETLDM + FUNC_END aeabi_dcmpeq ARM_FUNC_START aeabi_dcmplt + str lr, [sp, #-4]! ARM_CALL aeabi_cdcmple movcc r0, #1 @ Less than. movcs r0, #0 @ Equal to, greater than, or unordered. RETLDM + FUNC_END aeabi_dcmplt ARM_FUNC_START aeabi_dcmple + str lr, [sp, #-4]! ARM_CALL aeabi_cdcmple movls r0, #1 @ Less than or equal to. movhi r0, #0 @ Greater than or unordered. RETLDM + FUNC_END aeabi_dcmple ARM_FUNC_START aeabi_dcmpge + str lr, [sp, #-4]! ARM_CALL aeabi_cdrcmple movls r0, #1 @ Operand 2 is less than or equal to operand 1. movhi r0, #0 @ Operand 2 greater than operand 1, or unordered. RETLDM + FUNC_END aeabi_dcmpge ARM_FUNC_START aeabi_dcmpgt + str lr, [sp, #-4]! ARM_CALL aeabi_cdrcmple movcc r0, #1 @ Operand 2 is less than operand 1. movcs r0, #0 @ Operand 2 is greater than or equal to operand 1, @ or they are unordered. RETLDM + FUNC_END aeabi_dcmpgt - + #endif /* L_cmpdf2 */ #ifdef L_unorddf2 ARM_FUNC_START unorddf2 ARM_FUNC_ALIAS aeabi_dcmpun unorddf2 - - str lr, [sp, #-4]! - mov ip, #0x7f000000 - orr ip, ip, #0x00f00000 - and lr, xh, ip - teq lr, ip + + mov ip, xh, lsl #1 + mvns ip, ip, asr #21 bne 1f - orrs xl, xl, xh, lsl #12 + orrs ip, xl, xh, lsl #12 bne 3f @ x is NAN -1: and lr, yh, ip - teq lr, ip +1: mov ip, yh, lsl #1 + mvns ip, ip, asr #21 bne 2f - orrs yl, yl, yh, lsl #12 + orrs ip, yl, yh, lsl #12 bne 3f @ y is NAN 2: mov r0, #0 @ arguments are ordered. - RETLDM + RET 3: mov r0, #1 @ arguments are unordered. - RETLDM + RET FUNC_END aeabi_dcmpun FUNC_END unorddf2 @@ -1211,31 +1196,22 @@ ARM_FUNC_ALIAS aeabi_dcmpun unorddf2 ARM_FUNC_START fixdfsi ARM_FUNC_ALIAS aeabi_d2iz fixdfsi - orrs ip, xl, xh, lsl #1 - beq 1f @ value is 0. - - mov r3, r3, rrx @ preserve C flag (the actual sign) @ check exponent range. - mov ip, #0x7f000000 - orr ip, ip, #0x00f00000 - and r2, xh, ip - teq r2, ip - beq 2f @ value is INF or NAN - bic ip, ip, #0x40000000 - cmp r2, ip - bcc 1f @ value is too small - add ip, ip, #(31 << 20) - cmp r2, ip - bcs 3f @ value is too large - - rsb r2, r2, ip - mov ip, xh, lsl #11 - orr ip, ip, #0x80000000 - orr ip, ip, xl, lsr #21 - mov r2, r2, lsr #20 - tst r3, #0x80000000 @ the sign bit - mov r0, ip, lsr r2 + mov r2, xh, lsl #1 + adds r2, r2, #(1 << 21) + bcs 2f @ value is INF or NAN + bpl 1f @ value is too small + mov r3, #(0xfffffc00 + 31) + subs r2, r3, r2, asr #21 + bls 3f @ value is too large + + @ scale value + mov r3, xh, lsl #11 + orr r3, r3, #0x80000000 + orr r3, r3, xl, lsr #21 + tst xh, #0x80000000 @ the sign bit + mov r0, r3, lsr r2 rsbne r0, r0, #0 RET @@ -1243,8 +1219,8 @@ ARM_FUNC_ALIAS aeabi_d2iz fixdfsi RET 2: orrs xl, xl, xh, lsl #12 - bne 4f @ r0 is NAN. -3: ands r0, r3, #0x80000000 @ the sign bit + bne 4f @ x is NAN. +3: ands r0, xh, #0x80000000 @ the sign bit moveq r0, #0x7fffffff @ maximum signed positive si RET @@ -1260,29 +1236,22 @@ ARM_FUNC_ALIAS aeabi_d2iz fixdfsi ARM_FUNC_START fixunsdfsi ARM_FUNC_ALIAS aeabi_d2uiz fixunsdfsi - orrs ip, xl, xh, lsl #1 - movcss r0, #0 @ value is negative - RETc(eq) @ or 0 (xl, xh overlap r0) @ check exponent range. - mov ip, #0x7f000000 - orr ip, ip, #0x00f00000 - and r2, xh, ip - teq r2, ip - beq 2f @ value is INF or NAN - bic ip, ip, #0x40000000 - cmp r2, ip - bcc 1f @ value is too small - add ip, ip, #(31 << 20) - cmp r2, ip - bhi 3f @ value is too large - - rsb r2, r2, ip - mov ip, xh, lsl #11 - orr ip, ip, #0x80000000 - orr ip, ip, xl, lsr #21 - mov r2, r2, lsr #20 - mov r0, ip, lsr r2 + movs r2, xh, lsl #1 + bcs 1f @ value is negative + adds r2, r2, #(1 << 21) + bcs 2f @ value is INF or NAN + bpl 1f @ value is too small + mov r3, #(0xfffffc00 + 31) + subs r2, r3, r2, asr #21 + bmi 3f @ value is too large + + @ scale value + mov r3, xh, lsl #11 + orr r3, r3, #0x80000000 + orr r3, r3, xl, lsr #21 + mov r0, r3, lsr r2 RET 1: mov r0, #0 @@ -1305,90 +1274,60 @@ ARM_FUNC_ALIAS aeabi_d2uiz fixunsdfsi ARM_FUNC_START truncdfsf2 ARM_FUNC_ALIAS aeabi_d2f truncdfsf2 - orrs r2, xl, xh, lsl #1 - moveq r0, r2, rrx - RETc(eq) @ value is 0.0 or -0.0 - + @ check exponent range. - mov ip, #0x7f000000 - orr ip, ip, #0x00f00000 - and r2, ip, xh - teq r2, ip - beq 2f @ value is INF or NAN - bic xh, xh, ip - cmp r2, #(0x380 << 20) - bls 4f @ value is too small - - @ shift and round mantissa -1: movs r3, xl, lsr #29 - adc r3, r3, xh, lsl #3 - - @ if halfway between two numbers, round towards LSB = 0. - mov xl, xl, lsl #3 - teq xl, #0x80000000 - biceq r3, r3, #1 - - @ rounding might have created an extra MSB. If so adjust exponent. - tst r3, #0x00800000 - addne r2, r2, #(1 << 20) - bicne r3, r3, #0x00800000 - - @ check exponent for overflow - mov ip, #(0x400 << 20) - orr ip, ip, #(0x07f << 20) - cmp r2, ip - bcs 3f @ overflow - - @ adjust exponent, merge with sign bit and mantissa. - movs xh, xh, lsl #1 - mov r2, r2, lsl #4 - orr r0, r3, r2, rrx - eor r0, r0, #0x40000000 + mov r2, xh, lsl #1 + subs r3, r2, #((1023 - 127) << 21) + subcss ip, r3, #(1 << 21) + rsbcss ip, ip, #(254 << 21) + bls 2f @ value is out of range + +1: @ shift and round mantissa + and ip, xh, #0x80000000 + mov r2, xl, lsl #3 + orr xl, ip, xl, lsr #29 + cmp r2, #0x80000000 + adc r0, xl, r3, lsl #2 + biceq r0, r0, #1 RET -2: @ chech for NAN - orrs xl, xl, xh, lsl #12 - movne r0, #0x7f000000 - orrne r0, r0, #0x00c00000 - RETc(ne) @ return NAN +2: @ either overflow or underflow + tst xh, #0x40000000 + bne 3f @ overflow -3: @ return INF with sign - and r0, xh, #0x80000000 - orr r0, r0, #0x7f000000 - orr r0, r0, #0x00800000 - RET + @ check if denormalized value is possible + adds r2, r3, #(23 << 21) + andlt r0, xh, #0x80000000 @ too small, return signed 0. + RETc(lt) -4: @ check if denormalized value is possible - subs r2, r2, #((0x380 - 24) << 20) - andle r0, xh, #0x80000000 @ too small, return signed 0. - RETc(le) - @ denormalize value so we can resume with the code above afterwards. orr xh, xh, #0x00100000 - mov r2, r2, lsr #20 - rsb r2, r2, #25 - cmp r2, #20 - bgt 6f - + mov r2, r2, lsr #21 + rsb r2, r2, #24 rsb ip, r2, #32 - mov r3, xl, lsl ip + movs r3, xl, lsl ip mov xl, xl, lsr r2 - orr xl, xl, xh, lsl ip - movs xh, xh, lsl #1 - mov xh, xh, lsr r2 - mov xh, xh, rrx -5: teq r3, #0 @ fold r3 bits into the LSB - orrne xl, xl, #1 @ for rounding considerations. - mov r2, #(0x380 << 20) @ equivalent to the 0 float exponent + orrne xl, xl, #1 @ fold r3 for rounding considerations. + mov r3, xh, lsl #11 + mov r3, r3, lsr #11 + orr xl, xl, r3, lsl ip + mov r3, r3, lsr r2 + mov r3, r3, lsl #1 b 1b -6: rsb r2, r2, #(12 + 20) - rsb ip, r2, #32 - mov r3, xl, lsl r2 - mov xl, xl, lsr ip - orr xl, xl, xh, lsl r2 - and xh, xh, #0x80000000 - b 5b +3: @ chech for NAN + mvns r3, r2, asr #21 + bne 5f @ simple overflow + orrs r3, xl, xh, lsl #12 + movne r0, #0x7f000000 + orrne r0, r0, #0x00c00000 + RETc(ne) @ return NAN + +5: @ return INF with sign + and r0, xh, #0x80000000 + orr r0, r0, #0x7f000000 + orr r0, r0, #0x00800000 + RET FUNC_END aeabi_d2f FUNC_END truncdfsf2 |