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https://github.com/taigrr/arduinolibs
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AVR inline assembler speedups for Curve25519 and Ed25519
This commit is contained in:
Rhys Weatherley
parent
33df6a873d
commit
41cc393de5
@ -114,12 +114,12 @@ Ardunino Mega 2560 running at 16 MHz are similar:
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<tr><td>GHASH</td><td align="right">74.59us</td><td align="right">15.91us</td><td align="right">14.79us</td><td align="right">33</td></tr>
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<tr><td>GHASH</td><td align="right">74.59us</td><td align="right">15.91us</td><td align="right">14.79us</td><td align="right">33</td></tr>
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<tr><td colspan="5"> </td></tr>
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<tr><td colspan="5"> </td></tr>
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<tr><td>Public Key Operation</td><td align="right">Time (per operation)</td><td colspan="3">Comment</td></tr>
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<tr><td>Public Key Operation</td><td align="right">Time (per operation)</td><td colspan="3">Comment</td></tr>
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<tr><td>Curve25519::eval()</td><td align="right">3119ms</td><td colspan="3">Raw curve evaluation</td></tr>
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<tr><td>Curve25519::eval()</td><td align="right">2716ms</td><td colspan="3">Raw curve evaluation</td></tr>
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<tr><td>Curve25519::dh1()</td><td align="right">3121ms</td><td colspan="3">First half of Diffie-Hellman key agreement</td></tr>
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<tr><td>Curve25519::dh1()</td><td align="right">2718ms</td><td colspan="3">First half of Diffie-Hellman key agreement</td></tr>
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<tr><td>Curve25519::dh2()</td><td align="right">3120ms</td><td colspan="3">Second half of Diffie-Hellman key agreement</td></tr>
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<tr><td>Curve25519::dh2()</td><td align="right">2717ms</td><td colspan="3">Second half of Diffie-Hellman key agreement</td></tr>
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<tr><td>Ed25519::sign()</td><td align="right">5688ms</td><td colspan="3">Digital signature generation</td></tr>
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<tr><td>Ed25519::sign()</td><td align="right">5148ms</td><td colspan="3">Digital signature generation</td></tr>
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<tr><td>Ed25519::verify()</td><td align="right">9030ms</td><td colspan="3">Digital signature verification</td></tr>
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<tr><td>Ed25519::verify()</td><td align="right">8196ms</td><td colspan="3">Digital signature verification</td></tr>
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<tr><td>Ed25519::derivePublicKey()</td><td align="right">5642ms</td><td colspan="3">Derive a public key from a private key</td></tr>
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<tr><td>Ed25519::derivePublicKey()</td><td align="right">5102ms</td><td colspan="3">Derive a public key from a private key</td></tr>
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</table>
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</table>
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Where a cipher supports more than one key size (such as ChaCha), the values
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Where a cipher supports more than one key size (such as ChaCha), the values
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@ -41,6 +41,11 @@
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* \sa Ed25519
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* \sa Ed25519
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*/
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*/
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// Global switch to enable/disable AVR inline assembly optimizations.
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#if defined(__AVR__)
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#define CURVE25519_ASM_AVR 1
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#endif
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// The overhead of clean() calls in mul(), reduceQuick(), etc can
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// The overhead of clean() calls in mul(), reduceQuick(), etc can
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// add up to a lot of processing time during eval(). Only do such
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// add up to a lot of processing time during eval(). Only do such
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// cleanups if strict mode has been enabled. Other implementations
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// cleanups if strict mode has been enabled. Other implementations
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@ -400,6 +405,7 @@ void Curve25519::reduce(limb_t *result, limb_t *x, uint8_t size)
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The value y is the answer we want for reducing x modulo (2ⁿ - b).
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The value y is the answer we want for reducing x modulo (2ⁿ - b).
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*/
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*/
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#if !defined(CURVE25519_ASM_AVR)
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dlimb_t carry;
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dlimb_t carry;
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uint8_t posn;
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uint8_t posn;
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@ -461,13 +467,173 @@ void Curve25519::reduce(limb_t *result, limb_t *x, uint8_t size)
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for (posn = 0; posn < NUM_LIMBS_256BIT; ++posn) {
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for (posn = 0; posn < NUM_LIMBS_256BIT; ++posn) {
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result[posn] = (x[posn] & nmask) | (x[posn + NUM_LIMBS_256BIT] & mask);
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result[posn] = (x[posn] & nmask) | (x[posn + NUM_LIMBS_256BIT] & mask);
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}
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}
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#else
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__asm__ __volatile__ (
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// Calculate (x mod 2^255) + ((x / 2^255) * 19) which will
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// either produce the answer we want or it will produce a
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// value of the form "answer + j * (2^255 - 19)".
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"ldd r24,Z+31\n" // Extract the high bit of x[31]
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"mov r25,r24\n" // and mask it off
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"andi r25,0x7F\n"
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"std Z+31,r25\n"
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"lsl r24\n" // carry = high bit * 19
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"mov r24,__zero_reg__\n"
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"sbc r24,__zero_reg__\n"
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"andi r24,19\n"
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"mov r25,%1\n" // load "size" into r25
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"ldi r23,38\n" // r23 = 38
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"mov r22,__zero_reg__\n" // r22 = 0 (we're about to destroy r1)
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"1:\n"
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"ld r16,Z\n" // r16 = x[0]
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"ldd r17,Z+32\n" // r17 = x[32]
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"mul r17,r23\n" // r0:r1 = r17 * 38
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"add r0,r24\n" // r0:r1 += carry
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"adc r1,r22\n"
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"add r0,r16\n" // r0:r1 += r16
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"adc r1,r22\n"
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"st Z+,r0\n" // *x++ = r0
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"mov r24,r1\n" // carry = r1
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"dec r25\n" // if (--r25 != 0) loop
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"brne 1b\n"
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// If the size is short, then we need to continue propagating carries.
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"ldi r25,32\n"
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"cp %1,r25\n"
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"breq 3f\n"
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"sub r25,%1\n"
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"ld __tmp_reg__,Z\n"
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"add __tmp_reg__,r24\n"
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"st Z+,__tmp_reg__\n"
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"dec r25\n"
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"2:\n"
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"ld __tmp_reg__,Z\n" // *x++ += carry
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"adc __tmp_reg__,r22\n"
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"st Z+,__tmp_reg__\n"
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"dec r25\n"
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"brne 2b\n"
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"mov r24,r22\n" // put the carry back into r24
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"adc r24,r22\n"
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"3:\n"
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"sbiw r30,32\n" // Point Z back to the start of "x"
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// The "j" value may still be too large due to the final carry-out.
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// We must repeat the reduction. If we already have the answer,
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// then this won't do any harm but we must still do the calculation
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// to preserve the overall timing.
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"mul r24,r23\n" // carry *= 38
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"ldd r24,Z+31\n" // Extract the high bit of x[31]
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"mov r25,r24\n" // and mask it off
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"andi r25,0x7F\n"
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"std Z+31,r25\n"
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"lsl r24\n" // carry += high bit * 19
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"mov r24,r22\n"
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"sbc r24,r22\n"
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"andi r24,19\n"
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"add r0,r24\n"
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"adc r1,r22\n" // 9-bit carry is now in r0:r1
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// Propagate the carry through the rest of x.
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"ld r24,Z\n" // x[0]
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"add r0,r24\n"
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"adc r1,r22\n"
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"st Z+,r0\n"
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"ld r24,Z\n" // x[1]
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"add r1,r24\n"
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"st Z+,r1\n"
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"ldi r25,30\n" // x[2..31]
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"4:\n"
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"ld r24,Z\n"
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"adc r24,r22\n"
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"st Z+,r24\n"
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"dec r25\n"
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"brne 4b\n"
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"sbiw r30,32\n" // Point Z back to the start of "x"
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// We destroyed __zero_reg__ (r1) above, so restore its zero value.
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"mov __zero_reg__,r22\n"
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// At this point "x" will either be the answer or it will be the
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// answer plus (2^255 - 19). Perform a trial subtraction which
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// is equivalent to adding 19 and subtracting 2^255. We put the
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// trial answer into the top-most limbs of the original "x" array.
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// We add 19 here; the subtraction of 2^255 occurs in the next step.
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"ldi r24,8\n" // Loop counter.
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"ldi r25,19\n" // carry = 19
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"5:\n"
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"ld r16,Z+\n" // r16:r19:carry = *xx++ + carry
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"ld r17,Z+\n"
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"ld r18,Z+\n"
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"ld r19,Z+\n"
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"add r16,r25\n" // r16:r19:carry += carry
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"adc r17,__zero_reg__\n"
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"adc r18,__zero_reg__\n"
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"adc r19,__zero_reg__\n"
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"mov r25,__zero_reg__\n"
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"adc r25,r25\n"
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"std Z+28,r16\n" // *tt++ = r16:r19
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"std Z+29,r17\n"
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"std Z+30,r18\n"
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"std Z+31,r19\n"
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"dec r24\n"
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"brne 5b\n"
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// Subtract 2^255 from x[32..63] which is equivalent to extracting
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// the top bit and then masking it off. If the top bit is zero
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// then a borrow has occurred and this isn't the answer we want.
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"mov r25,r19\n"
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"andi r19,0x7F\n"
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"std Z+31,r19\n"
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"lsl r25\n"
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"mov r25,__zero_reg__\n"
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"sbc r25,__zero_reg__\n"
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// At this point, r25 is 0 if the original x[0..31] is the answer
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// we want, or 0xFF if x[32..63] is the answer we want. Essentially
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// we need to do a conditional move of either x[0..31] or x[32..63]
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// into "result".
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"sbiw r30,32\n" // Point Z back to x[0].
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"ldi r24,8\n"
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"6:\n"
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"ldd r16,Z+32\n"
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"ldd r17,Z+33\n"
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"ldd r18,Z+34\n"
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"ldd r19,Z+35\n"
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"ld r20,Z+\n"
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"ld r21,Z+\n"
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"ld r22,Z+\n"
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"ld r23,Z+\n"
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"eor r16,r20\n"
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"eor r17,r21\n"
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"eor r18,r22\n"
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"eor r19,r23\n"
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"and r16,r25\n"
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"and r17,r25\n"
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"and r18,r25\n"
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"and r19,r25\n"
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"eor r20,r16\n"
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"eor r21,r17\n"
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"eor r22,r18\n"
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"eor r23,r19\n"
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"st X+,r20\n"
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"st X+,r21\n"
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"st X+,r22\n"
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"st X+,r23\n"
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"dec r24\n"
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"brne 6b\n"
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: : "z"(x), "r"((uint8_t)(size * sizeof(limb_t))), "x"(result)
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: "r16", "r17", "r18", "r19", "r20", "r21", "r22", "r23",
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"r24", "r25"
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);
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#endif
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}
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}
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/**
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/**
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* \brief Quickly reduces a number modulo 2^255 - 19.
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* \brief Quickly reduces a number modulo 2^255 - 19.
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*
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*
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* \param x The number to be reduced, which must be NUM_LIMBS_256BIT
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* \param x The number to be reduced, which must be NUM_LIMBS_256BIT
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( limbs in size and less than or equal to 2 * (2^255 - 19 - 1).
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* limbs in size and less than or equal to 2 * (2^255 - 19 - 1).
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* \return Zero if \a x was greater than or equal to (2^255 - 19).
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* \return Zero if \a x was greater than or equal to (2^255 - 19).
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*
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*
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* The answer is also put into \a x and will consist of NUM_LIMBS_256BIT limbs.
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* The answer is also put into \a x and will consist of NUM_LIMBS_256BIT limbs.
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@ -478,6 +644,7 @@ void Curve25519::reduce(limb_t *result, limb_t *x, uint8_t size)
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*/
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*/
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limb_t Curve25519::reduceQuick(limb_t *x)
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limb_t Curve25519::reduceQuick(limb_t *x)
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{
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{
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#if !defined(CURVE25519_ASM_AVR)
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limb_t temp[NUM_LIMBS_256BIT];
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limb_t temp[NUM_LIMBS_256BIT];
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dlimb_t carry;
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dlimb_t carry;
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uint8_t posn;
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uint8_t posn;
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@ -516,6 +683,84 @@ limb_t Curve25519::reduceQuick(limb_t *x)
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// Return a zero value if we actually subtracted (2^255 - 19) from "x".
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// Return a zero value if we actually subtracted (2^255 - 19) from "x".
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return nmask;
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return nmask;
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#else // CURVE25519_ASM_AVR
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limb_t temp[NUM_LIMBS_256BIT];
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uint8_t result;
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__asm__ __volatile__ (
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// Subtract (2^255 - 19) from "x", which is the same as adding 19
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// and then subtracting 2^255.
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"ldi r24,8\n" // Loop counter.
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"ldi r25,19\n" // carry = 19
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"1:\n"
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"ld r16,Z+\n" // r16:r19:carry = *xx++ + carry
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"ld r17,Z+\n"
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"ld r18,Z+\n"
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"ld r19,Z+\n"
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"add r16,r25\n" // r16:r19:carry += carry
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"adc r17,__zero_reg__\n"
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"adc r18,__zero_reg__\n"
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"adc r19,__zero_reg__\n"
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"mov r25,__zero_reg__\n"
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"adc r25,r25\n"
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"st X+,r16\n" // *tt++ = r16:r19
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"st X+,r17\n"
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"st X+,r18\n"
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"st X+,r19\n"
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"dec r24\n"
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"brne 1b\n"
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// Subtract 2^255 from "temp" which is equivalent to extracting
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// the top bit and then masking it off. If the top bit is zero
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// then a borrow has occurred and this isn't the answer we want.
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"mov r25,r19\n"
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"andi r19,0x7F\n"
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"st -X,r19\n"
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"lsl r25\n"
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"mov r25,__zero_reg__\n"
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"sbc r25,__zero_reg__\n"
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// At this point, r25 is 0 if the original "x" is the answer
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// we want, or 0xFF if "temp" is the answer we want. Essentially
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// we need to do a conditional move of "temp" into "x".
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"sbiw r26,31\n" // Point X back to the start of "temp".
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"sbiw r30,32\n" // Point Z back to the start of "x".
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"ldi r24,8\n"
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"2:\n"
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"ld r16,X+\n"
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"ld r17,X+\n"
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"ld r18,X+\n"
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"ld r19,X+\n"
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"ld r20,Z\n"
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"ldd r21,Z+1\n"
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"ldd r22,Z+2\n"
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"ldd r23,Z+3\n"
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"eor r16,r20\n"
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"eor r17,r21\n"
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"eor r18,r22\n"
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"eor r19,r23\n"
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"and r16,r25\n"
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"and r17,r25\n"
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"and r18,r25\n"
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"and r19,r25\n"
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"eor r20,r16\n"
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"eor r21,r17\n"
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"eor r22,r18\n"
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"eor r23,r19\n"
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"st Z+,r20\n"
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"st Z+,r21\n"
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"st Z+,r22\n"
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"st Z+,r23\n"
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"dec r24\n"
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"brne 2b\n"
|
||||||
|
"mov %0,r25\n"
|
||||||
|
: "=r"(result)
|
||||||
|
: "x"(temp), "z"(x)
|
||||||
|
: "r16", "r17", "r18", "r19", "r20", "r21", "r22", "r23",
|
||||||
|
"r24", "r25"
|
||||||
|
);
|
||||||
|
strict_clean(temp);
|
||||||
|
return result;
|
||||||
|
#endif // CURVE25519_ASM_AVR
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -532,6 +777,7 @@ limb_t Curve25519::reduceQuick(limb_t *x)
|
|||||||
*/
|
*/
|
||||||
void Curve25519::mulNoReduce(limb_t *result, const limb_t *x, const limb_t *y)
|
void Curve25519::mulNoReduce(limb_t *result, const limb_t *x, const limb_t *y)
|
||||||
{
|
{
|
||||||
|
#if !defined(CURVE25519_ASM_AVR)
|
||||||
uint8_t i, j;
|
uint8_t i, j;
|
||||||
dlimb_t carry;
|
dlimb_t carry;
|
||||||
limb_t word;
|
limb_t word;
|
||||||
@ -564,6 +810,111 @@ void Curve25519::mulNoReduce(limb_t *result, const limb_t *x, const limb_t *y)
|
|||||||
}
|
}
|
||||||
*rr = (limb_t)carry;
|
*rr = (limb_t)carry;
|
||||||
}
|
}
|
||||||
|
#else
|
||||||
|
__asm__ __volatile__ (
|
||||||
|
// Save Y and copy the "result" pointer into it.
|
||||||
|
"push r28\n"
|
||||||
|
"push r29\n"
|
||||||
|
"mov r28,%A2\n"
|
||||||
|
"mov r29,%B2\n"
|
||||||
|
|
||||||
|
// Multiply the first byte of "x" by y[0..31].
|
||||||
|
"ldi r25,8\n" // loop 8 times: 4 bytes of y each time
|
||||||
|
"clr r24\n" // carry = 0
|
||||||
|
"clr r22\n" // r22 = 0 to replace __zero_reg__
|
||||||
|
"ld r23,X+\n" // r23 = *x++
|
||||||
|
"1:\n"
|
||||||
|
"ld r16,Z\n" // r16 = y[0]
|
||||||
|
"mul r16,r23\n" // r8:r9 = y[0] * r23
|
||||||
|
"movw r8,r0\n"
|
||||||
|
"ldd r16,Z+2\n" // r16 = y[2]
|
||||||
|
"mul r16,r23\n" // r10:r11 = y[2] * r23
|
||||||
|
"movw r10,r0\n"
|
||||||
|
"ldd r16,Z+1\n" // r16 = y[1]
|
||||||
|
"mul r16,r23\n" // r9:r10:r11 += y[1] * r23
|
||||||
|
"add r9,r0\n"
|
||||||
|
"adc r10,r1\n"
|
||||||
|
"adc r11,r22\n"
|
||||||
|
"ldd r16,Z+3\n" // r16 = y[3]
|
||||||
|
"mul r16,r23\n" // r11:r1 += y[3] * r23
|
||||||
|
"add r11,r0\n"
|
||||||
|
"adc r1,r22\n"
|
||||||
|
"add r8,r24\n" // r8:r9:r10:r11:r1 += carry
|
||||||
|
"adc r9,r22\n"
|
||||||
|
"adc r10,r22\n"
|
||||||
|
"adc r11,r22\n"
|
||||||
|
"adc r1,r22\n"
|
||||||
|
"mov r24,r1\n" // carry = r1
|
||||||
|
"st Y+,r8\n" // *rr++ = r8:r9:r10:r11
|
||||||
|
"st Y+,r9\n"
|
||||||
|
"st Y+,r10\n"
|
||||||
|
"st Y+,r11\n"
|
||||||
|
"adiw r30,4\n"
|
||||||
|
"dec r25\n"
|
||||||
|
"brne 1b\n"
|
||||||
|
"st Y+,r24\n" // *rr++ = carry
|
||||||
|
"sbiw r28,32\n" // rr -= 32
|
||||||
|
"sbiw r30,32\n" // Point Z back to the start of y
|
||||||
|
|
||||||
|
// Multiply and add the remaining bytes of "x" by y[0..31].
|
||||||
|
"ldi r21,31\n" // 31 more bytes of x to go.
|
||||||
|
"2:\n"
|
||||||
|
"ldi r25,8\n" // loop 8 times: 4 bytes of y each time
|
||||||
|
"clr r24\n" // carry = 0
|
||||||
|
"ld r23,X+\n" // r23 = *x++
|
||||||
|
"3:\n"
|
||||||
|
"ld r16,Z\n" // r16 = y[0]
|
||||||
|
"mul r16,r23\n" // r8:r9 = y[0] * r23
|
||||||
|
"movw r8,r0\n"
|
||||||
|
"ldd r16,Z+2\n" // r16 = y[2]
|
||||||
|
"mul r16,r23\n" // r10:r11 = y[2] * r23
|
||||||
|
"movw r10,r0\n"
|
||||||
|
"ldd r16,Z+1\n" // r16 = y[1]
|
||||||
|
"mul r16,r23\n" // r9:r10:r11 += y[1] * r23
|
||||||
|
"add r9,r0\n"
|
||||||
|
"adc r10,r1\n"
|
||||||
|
"adc r11,r22\n"
|
||||||
|
"ldd r16,Z+3\n" // r16 = y[3]
|
||||||
|
"mul r16,r23\n" // r11:r1 += y[3] * r23
|
||||||
|
"add r11,r0\n"
|
||||||
|
"adc r1,r22\n"
|
||||||
|
"add r8,r24\n" // r8:r9:r10:r11:r1 += carry
|
||||||
|
"adc r9,r22\n"
|
||||||
|
"adc r10,r22\n"
|
||||||
|
"adc r11,r22\n"
|
||||||
|
"adc r1,r22\n"
|
||||||
|
"ld r16,Y\n" // r8:r9:r10:r11:r1 += rr[0..3]
|
||||||
|
"add r8,r16\n"
|
||||||
|
"ldd r16,Y+1\n"
|
||||||
|
"adc r9,r16\n"
|
||||||
|
"ldd r16,Y+2\n"
|
||||||
|
"adc r10,r16\n"
|
||||||
|
"ldd r16,Y+3\n"
|
||||||
|
"adc r11,r16\n"
|
||||||
|
"adc r1,r22\n"
|
||||||
|
"mov r24,r1\n" // carry = r1
|
||||||
|
"st Y+,r8\n" // *rr++ = r8:r9:r10:r11
|
||||||
|
"st Y+,r9\n"
|
||||||
|
"st Y+,r10\n"
|
||||||
|
"st Y+,r11\n"
|
||||||
|
"adiw r30,4\n"
|
||||||
|
"dec r25\n"
|
||||||
|
"brne 3b\n"
|
||||||
|
"st Y+,r24\n" // *r++ = carry
|
||||||
|
"sbiw r28,32\n" // rr -= 32
|
||||||
|
"sbiw r30,32\n" // Point Z back to the start of y
|
||||||
|
"dec r21\n"
|
||||||
|
"brne 2b\n"
|
||||||
|
|
||||||
|
// Restore Y and __zero_reg__.
|
||||||
|
"pop r29\n"
|
||||||
|
"pop r28\n"
|
||||||
|
"clr __zero_reg__\n"
|
||||||
|
: : "x"(x), "z"(y), "r"(result)
|
||||||
|
: "r8", "r9", "r10", "r11", "r16", "r20", "r21", "r22",
|
||||||
|
"r23", "r24", "r25"
|
||||||
|
);
|
||||||
|
#endif
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -605,6 +956,7 @@ void Curve25519::mul(limb_t *result, const limb_t *x, const limb_t *y)
|
|||||||
*/
|
*/
|
||||||
void Curve25519::mulA24(limb_t *result, const limb_t *x)
|
void Curve25519::mulA24(limb_t *result, const limb_t *x)
|
||||||
{
|
{
|
||||||
|
#if !defined(CURVE25519_ASM_AVR)
|
||||||
// The constant a24 = 121665 (0x1DB41) as a limb array.
|
// The constant a24 = 121665 (0x1DB41) as a limb array.
|
||||||
#if BIGNUMBER_LIMB_8BIT
|
#if BIGNUMBER_LIMB_8BIT
|
||||||
static limb_t const a24[3] PROGMEM = {0x41, 0xDB, 0x01};
|
static limb_t const a24[3] PROGMEM = {0x41, 0xDB, 0x01};
|
||||||
@ -645,6 +997,55 @@ void Curve25519::mulA24(limb_t *result, const limb_t *x)
|
|||||||
}
|
}
|
||||||
*tt = (limb_t)carry;
|
*tt = (limb_t)carry;
|
||||||
}
|
}
|
||||||
|
#else
|
||||||
|
limb_t temp[NUM_LIMBS_512BIT];
|
||||||
|
#define NUM_A24_LIMBS ((3 + sizeof(limb_t) - 1) / sizeof(limb_t))
|
||||||
|
__asm__ __volatile__ (
|
||||||
|
// Load the two low bytes of a24 into r16 and r17.
|
||||||
|
// The third byte is 0x01 which we can deal with implicitly.
|
||||||
|
"ldi r16,0x41\n"
|
||||||
|
"ldi r17,0xDB\n"
|
||||||
|
|
||||||
|
// Iterate over the bytes of "x" and multiply each with a24.
|
||||||
|
"ldi r25,32\n" // 32 bytes in "x"
|
||||||
|
"clr r22\n" // r22 = 0
|
||||||
|
"clr r18\n" // r18:r19:r11 = 0 (carry)
|
||||||
|
"clr r19\n"
|
||||||
|
"clr r11\n"
|
||||||
|
"1:\n"
|
||||||
|
"ld r21,X+\n" // r21 = *x++
|
||||||
|
"mul r21,r16\n" // r8:r9 = r21 * a24[0]
|
||||||
|
"movw r8,r0\n"
|
||||||
|
"mul r21,r17\n" // r9:r1 += r21 * a24[1]
|
||||||
|
"add r9,r0\n"
|
||||||
|
"adc r1,r21\n" // r1:r10 += r21 * a24[2] (implicitly 1)
|
||||||
|
"mov r10,r22\n"
|
||||||
|
"adc r10,r22\n"
|
||||||
|
"add r8,r18\n" // r8:r9:r1:r10 += carry
|
||||||
|
"adc r9,r19\n"
|
||||||
|
"adc r1,r11\n"
|
||||||
|
"adc r10,r22\n"
|
||||||
|
"st Z+,r8\n" // *tt++ = r8
|
||||||
|
"mov r18,r9\n" // carry = r9:r1:r10
|
||||||
|
"mov r19,r1\n"
|
||||||
|
"mov r11,r10\n"
|
||||||
|
"dec r25\n"
|
||||||
|
"brne 1b\n"
|
||||||
|
"st Z,r18\n" // *tt = carry
|
||||||
|
"std Z+1,r19\n"
|
||||||
|
"std Z+2,r11\n"
|
||||||
|
#if BIGNUMBER_LIMB_16BIT || BIGNUMBER_LIMB_32BIT
|
||||||
|
"std Z+3,r22\n" // Zero pad to a limb boundary
|
||||||
|
#endif
|
||||||
|
|
||||||
|
// Restore __zero_reg__
|
||||||
|
"clr __zero_reg__\n"
|
||||||
|
|
||||||
|
: : "x"(x), "z"(temp)
|
||||||
|
: "r8", "r9", "r10", "r11", "r16", "r17", "r18", "r19",
|
||||||
|
"r20", "r21", "r22", "r25"
|
||||||
|
);
|
||||||
|
#endif
|
||||||
|
|
||||||
// Reduce the intermediate result modulo 2^255 - 19.
|
// Reduce the intermediate result modulo 2^255 - 19.
|
||||||
reduce(result, temp, NUM_A24_LIMBS);
|
reduce(result, temp, NUM_A24_LIMBS);
|
||||||
@ -668,34 +1069,32 @@ void Curve25519::mul_P(limb_t *result, const limb_t *x, const limb_t *y)
|
|||||||
uint8_t i, j;
|
uint8_t i, j;
|
||||||
dlimb_t carry;
|
dlimb_t carry;
|
||||||
limb_t word;
|
limb_t word;
|
||||||
const limb_t *yy;
|
const limb_t *xx;
|
||||||
limb_t *tt;
|
limb_t *tt;
|
||||||
|
|
||||||
// Multiply the lowest word of x by y.
|
// Multiply the lowest word of y by x.
|
||||||
carry = 0;
|
carry = 0;
|
||||||
word = x[0];
|
word = pgm_read_limb(&(y[0]));
|
||||||
yy = y;
|
xx = x;
|
||||||
tt = temp;
|
tt = temp;
|
||||||
for (i = 0; i < NUM_LIMBS_256BIT; ++i) {
|
for (i = 0; i < NUM_LIMBS_256BIT; ++i) {
|
||||||
carry += ((dlimb_t)(pgm_read_limb(yy))) * word;
|
carry += ((dlimb_t)(*xx++)) * word;
|
||||||
*tt++ = (limb_t)carry;
|
*tt++ = (limb_t)carry;
|
||||||
carry >>= LIMB_BITS;
|
carry >>= LIMB_BITS;
|
||||||
++yy;
|
|
||||||
}
|
}
|
||||||
*tt = (limb_t)carry;
|
*tt = (limb_t)carry;
|
||||||
|
|
||||||
// Multiply and add the remaining words of x by y.
|
// Multiply and add the remaining words of y by x.
|
||||||
for (i = 1; i < NUM_LIMBS_256BIT; ++i) {
|
for (i = 1; i < NUM_LIMBS_256BIT; ++i) {
|
||||||
word = x[i];
|
word = pgm_read_limb(&(y[i]));
|
||||||
carry = 0;
|
carry = 0;
|
||||||
yy = y;
|
xx = x;
|
||||||
tt = temp + i;
|
tt = temp + i;
|
||||||
for (j = 0; j < NUM_LIMBS_256BIT; ++j) {
|
for (j = 0; j < NUM_LIMBS_256BIT; ++j) {
|
||||||
carry += ((dlimb_t)(pgm_read_limb(yy))) * word;
|
carry += ((dlimb_t)(*xx++)) * word;
|
||||||
carry += *tt;
|
carry += *tt;
|
||||||
*tt++ = (limb_t)carry;
|
*tt++ = (limb_t)carry;
|
||||||
carry >>= LIMB_BITS;
|
carry >>= LIMB_BITS;
|
||||||
++yy;
|
|
||||||
}
|
}
|
||||||
*tt = (limb_t)carry;
|
*tt = (limb_t)carry;
|
||||||
}
|
}
|
||||||
@ -717,6 +1116,7 @@ void Curve25519::mul_P(limb_t *result, const limb_t *x, const limb_t *y)
|
|||||||
*/
|
*/
|
||||||
void Curve25519::add(limb_t *result, const limb_t *x, const limb_t *y)
|
void Curve25519::add(limb_t *result, const limb_t *x, const limb_t *y)
|
||||||
{
|
{
|
||||||
|
#if !defined(CURVE25519_ASM_AVR)
|
||||||
dlimb_t carry = 0;
|
dlimb_t carry = 0;
|
||||||
uint8_t posn;
|
uint8_t posn;
|
||||||
limb_t *rr = result;
|
limb_t *rr = result;
|
||||||
@ -728,6 +1128,52 @@ void Curve25519::add(limb_t *result, const limb_t *x, const limb_t *y)
|
|||||||
*rr++ = (limb_t)carry;
|
*rr++ = (limb_t)carry;
|
||||||
carry >>= LIMB_BITS;
|
carry >>= LIMB_BITS;
|
||||||
}
|
}
|
||||||
|
#else // CURVE25519_ASM_AVR
|
||||||
|
__asm__ __volatile__ (
|
||||||
|
// Save Y and copy the "result" pointer into it.
|
||||||
|
"push r28\n"
|
||||||
|
"push r29\n"
|
||||||
|
"mov r28,%A2\n"
|
||||||
|
"mov r29,%B2\n"
|
||||||
|
|
||||||
|
// Unroll the loop to operate on 4 bytes at a time (8 iterations).
|
||||||
|
"ldi r24,8\n" // Loop counter.
|
||||||
|
"clr r25\n" // carry = 0
|
||||||
|
"1:\n"
|
||||||
|
"ld r16,X+\n" // r16:r19 = *x++
|
||||||
|
"ld r17,X+\n"
|
||||||
|
"ld r18,X+\n"
|
||||||
|
"ld r19,X+\n"
|
||||||
|
"ld r20,Z+\n" // r20:r23 = *y++
|
||||||
|
"ld r21,Z+\n"
|
||||||
|
"ld r22,Z+\n"
|
||||||
|
"ld r23,Z+\n"
|
||||||
|
"add r16,r25\n" // r16:r19:carry += carry
|
||||||
|
"adc r17,__zero_reg__\n"
|
||||||
|
"adc r18,__zero_reg__\n"
|
||||||
|
"adc r19,__zero_reg__\n"
|
||||||
|
"mov r25,__zero_reg__\n"
|
||||||
|
"adc r25,r25\n"
|
||||||
|
"add r16,r20\n" // r16:r19:carry += r20:r23
|
||||||
|
"adc r17,r21\n"
|
||||||
|
"adc r18,r22\n"
|
||||||
|
"adc r19,r23\n"
|
||||||
|
"adc r25,__zero_reg__\n"
|
||||||
|
"st Y+,r16\n" // *rr++ = r16:r23
|
||||||
|
"st Y+,r17\n"
|
||||||
|
"st Y+,r18\n"
|
||||||
|
"st Y+,r19\n"
|
||||||
|
"dec r24\n"
|
||||||
|
"brne 1b\n"
|
||||||
|
|
||||||
|
// Restore Y.
|
||||||
|
"pop r29\n"
|
||||||
|
"pop r28\n"
|
||||||
|
: : "x"(x), "z"(y), "r"(result)
|
||||||
|
: "r16", "r17", "r18", "r19", "r20", "r21", "r22", "r23",
|
||||||
|
"r24", "r25"
|
||||||
|
);
|
||||||
|
#endif // CURVE25519_ASM_AVR
|
||||||
|
|
||||||
// Reduce the result using the quick trial subtraction method.
|
// Reduce the result using the quick trial subtraction method.
|
||||||
reduceQuick(result);
|
reduceQuick(result);
|
||||||
@ -745,6 +1191,7 @@ void Curve25519::add(limb_t *result, const limb_t *x, const limb_t *y)
|
|||||||
*/
|
*/
|
||||||
void Curve25519::sub(limb_t *result, const limb_t *x, const limb_t *y)
|
void Curve25519::sub(limb_t *result, const limb_t *x, const limb_t *y)
|
||||||
{
|
{
|
||||||
|
#if !defined(CURVE25519_ASM_AVR)
|
||||||
dlimb_t borrow;
|
dlimb_t borrow;
|
||||||
uint8_t posn;
|
uint8_t posn;
|
||||||
limb_t *rr = result;
|
limb_t *rr = result;
|
||||||
@ -770,6 +1217,81 @@ void Curve25519::sub(limb_t *result, const limb_t *x, const limb_t *y)
|
|||||||
*rr++ = (limb_t)borrow;
|
*rr++ = (limb_t)borrow;
|
||||||
}
|
}
|
||||||
*(--rr) &= ((((limb_t)1) << (LIMB_BITS - 1)) - 1);
|
*(--rr) &= ((((limb_t)1) << (LIMB_BITS - 1)) - 1);
|
||||||
|
#else // CURVE25519_ASM_AVR
|
||||||
|
__asm__ __volatile__ (
|
||||||
|
// Save Y and copy the "result" pointer into it.
|
||||||
|
"push r28\n"
|
||||||
|
"push r29\n"
|
||||||
|
"mov r28,%A2\n"
|
||||||
|
"mov r29,%B2\n"
|
||||||
|
|
||||||
|
// Unroll the sub loop to operate on 4 bytes at a time (8 iterations).
|
||||||
|
"ldi r24,8\n" // Loop counter.
|
||||||
|
"clr r25\n" // borrow = 0
|
||||||
|
"1:\n"
|
||||||
|
"ld r16,X+\n" // r16:r19 = *x++
|
||||||
|
"ld r17,X+\n"
|
||||||
|
"ld r18,X+\n"
|
||||||
|
"ld r19,X+\n"
|
||||||
|
"ld r20,Z+\n" // r20:r23 = *y++
|
||||||
|
"ld r21,Z+\n"
|
||||||
|
"ld r22,Z+\n"
|
||||||
|
"ld r23,Z+\n"
|
||||||
|
"sub r16,r25\n" // r16:r19:borrow -= borrow
|
||||||
|
"sbc r17,__zero_reg__\n"
|
||||||
|
"sbc r18,__zero_reg__\n"
|
||||||
|
"sbc r19,__zero_reg__\n"
|
||||||
|
"mov r25,__zero_reg__\n"
|
||||||
|
"sbc r25,__zero_reg__\n"
|
||||||
|
"sub r16,r20\n" // r16:r19:borrow -= r20:r23
|
||||||
|
"sbc r17,r21\n"
|
||||||
|
"sbc r18,r22\n"
|
||||||
|
"sbc r19,r23\n"
|
||||||
|
"sbc r25,__zero_reg__\n"
|
||||||
|
"st Y+,r16\n" // *rr++ = r16:r23
|
||||||
|
"st Y+,r17\n"
|
||||||
|
"st Y+,r18\n"
|
||||||
|
"st Y+,r19\n"
|
||||||
|
"andi r25,1\n" // Only need the bottom bit of the borrow
|
||||||
|
"dec r24\n"
|
||||||
|
"brne 1b\n"
|
||||||
|
|
||||||
|
// If there was a borrow, then we need to add 2^255 - 19 back.
|
||||||
|
// We conditionally subtract 19 and then mask off the high bit.
|
||||||
|
"neg r25\n" // borrow = mask(borrow) & 19
|
||||||
|
"andi r25,19\n"
|
||||||
|
"sbiw r28,32\n" // Point Y back to the start of "result"
|
||||||
|
"ldi r24,8\n"
|
||||||
|
"2:\n"
|
||||||
|
"ld r16,Y\n" // r16:r19 = *rr
|
||||||
|
"ldd r17,Y+1\n"
|
||||||
|
"ldd r18,Y+2\n"
|
||||||
|
"ldd r19,Y+3\n"
|
||||||
|
"sub r16,r25\n"
|
||||||
|
"sbc r17,__zero_reg__\n" // r16:r19:borrow -= borrow
|
||||||
|
"sbc r18,__zero_reg__\n"
|
||||||
|
"sbc r19,__zero_reg__\n"
|
||||||
|
"mov r25,__zero_reg__\n"
|
||||||
|
"sbc r25,__zero_reg__\n"
|
||||||
|
"andi r25,1\n"
|
||||||
|
"st Y+,r16\n" // *r++ = r16:r19
|
||||||
|
"st Y+,r17\n"
|
||||||
|
"st Y+,r18\n"
|
||||||
|
"st Y+,r19\n"
|
||||||
|
"dec r24\n"
|
||||||
|
"brne 2b\n"
|
||||||
|
"andi r19,0x7F\n" // Mask off the high bit in the last byte
|
||||||
|
"sbiw r28,1\n"
|
||||||
|
"st Y,r19\n"
|
||||||
|
|
||||||
|
// Restore Y.
|
||||||
|
"pop r29\n"
|
||||||
|
"pop r28\n"
|
||||||
|
: : "x"(x), "z"(y), "r"(result)
|
||||||
|
: "r16", "r17", "r18", "r19", "r20", "r21", "r22", "r23",
|
||||||
|
"r24", "r25"
|
||||||
|
);
|
||||||
|
#endif // CURVE25519_ASM_AVR
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -786,6 +1308,7 @@ void Curve25519::sub(limb_t *result, const limb_t *x, const limb_t *y)
|
|||||||
*/
|
*/
|
||||||
void Curve25519::cswap(limb_t select, limb_t *x, limb_t *y)
|
void Curve25519::cswap(limb_t select, limb_t *x, limb_t *y)
|
||||||
{
|
{
|
||||||
|
#if !defined(CURVE25519_ASM_AVR)
|
||||||
uint8_t posn;
|
uint8_t posn;
|
||||||
limb_t dummy;
|
limb_t dummy;
|
||||||
limb_t sel;
|
limb_t sel;
|
||||||
@ -802,6 +1325,73 @@ void Curve25519::cswap(limb_t select, limb_t *x, limb_t *y)
|
|||||||
x[posn] ^= dummy;
|
x[posn] ^= dummy;
|
||||||
y[posn] ^= dummy;
|
y[posn] ^= dummy;
|
||||||
}
|
}
|
||||||
|
#else // CURVE25519_ASM_AVR
|
||||||
|
__asm__ __volatile__ (
|
||||||
|
// Combine all bytes from "select" into one and then turn
|
||||||
|
// that byte into the "sel" mask in r24.
|
||||||
|
"clr r24\n"
|
||||||
|
#if BIGNUMBER_LIMB_8BIT
|
||||||
|
"sub r24,%2\n"
|
||||||
|
#elif BIGNUMBER_LIMB_16BIT
|
||||||
|
"or %A2,%B2\n"
|
||||||
|
"sub r24,%A2\n"
|
||||||
|
#elif BIGNUMBER_LIMB_32BIT
|
||||||
|
"or %A2,%B2\n"
|
||||||
|
"or %A2,%C2\n"
|
||||||
|
"or %A2,%D2\n"
|
||||||
|
"sub r24,%A2\n"
|
||||||
|
#endif
|
||||||
|
"mov r24,__zero_reg__\n"
|
||||||
|
"sbc r24,r24\n"
|
||||||
|
|
||||||
|
// Perform the conditional swap 4 bytes at a time.
|
||||||
|
"ldi r25,8\n"
|
||||||
|
"1:\n"
|
||||||
|
"ld r16,X+\n" // r16:r19 = *x
|
||||||
|
"ld r17,X+\n"
|
||||||
|
"ld r18,X+\n"
|
||||||
|
"ld r19,X\n"
|
||||||
|
"ld r20,Z\n" // r20:r23 = *y
|
||||||
|
"ldd r21,Z+1\n"
|
||||||
|
"ldd r22,Z+2\n"
|
||||||
|
"ldd r23,Z+3\n"
|
||||||
|
"mov r12,r16\n" // r12:r15 = (r16:r19 ^ r20:r23) & sel
|
||||||
|
"mov r13,r17\n"
|
||||||
|
"mov r14,r18\n"
|
||||||
|
"mov r15,r19\n"
|
||||||
|
"eor r12,r20\n"
|
||||||
|
"eor r13,r21\n"
|
||||||
|
"eor r14,r22\n"
|
||||||
|
"eor r15,r23\n"
|
||||||
|
"and r12,r24\n"
|
||||||
|
"and r13,r24\n"
|
||||||
|
"and r14,r24\n"
|
||||||
|
"and r15,r24\n"
|
||||||
|
"eor r16,r12\n" // r16:r19 ^= r12:r15
|
||||||
|
"eor r17,r13\n"
|
||||||
|
"eor r18,r14\n"
|
||||||
|
"eor r19,r15\n"
|
||||||
|
"eor r20,r12\n" // r20:r23 ^= r12:r15
|
||||||
|
"eor r21,r13\n"
|
||||||
|
"eor r22,r14\n"
|
||||||
|
"eor r23,r15\n"
|
||||||
|
"st X,r19\n" // *x++ = r16:r19
|
||||||
|
"st -X,r18\n"
|
||||||
|
"st -X,r17\n"
|
||||||
|
"st -X,r16\n"
|
||||||
|
"adiw r26,4\n"
|
||||||
|
"st Z+,r20\n" // *y++ = r20:r23
|
||||||
|
"st Z+,r21\n"
|
||||||
|
"st Z+,r22\n"
|
||||||
|
"st Z+,r23\n"
|
||||||
|
"dec r25\n"
|
||||||
|
"brne 1b\n"
|
||||||
|
|
||||||
|
: : "x"(x), "z"(y), "r"(select)
|
||||||
|
: "r12", "r13", "r14", "r15", "r16", "r17", "r18", "r19",
|
||||||
|
"r20", "r21", "r22", "r23", "r24", "r25"
|
||||||
|
);
|
||||||
|
#endif // CURVE25519_ASM_AVR
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -818,6 +1408,7 @@ void Curve25519::cswap(limb_t select, limb_t *x, limb_t *y)
|
|||||||
*/
|
*/
|
||||||
void Curve25519::cmove(limb_t select, limb_t *x, const limb_t *y)
|
void Curve25519::cmove(limb_t select, limb_t *x, const limb_t *y)
|
||||||
{
|
{
|
||||||
|
#if !defined(CURVE25519_ASM_AVR)
|
||||||
uint8_t posn;
|
uint8_t posn;
|
||||||
limb_t dummy;
|
limb_t dummy;
|
||||||
limb_t sel;
|
limb_t sel;
|
||||||
@ -832,6 +1423,61 @@ void Curve25519::cmove(limb_t select, limb_t *x, const limb_t *y)
|
|||||||
dummy = sel & (x[posn] ^ y[posn]);
|
dummy = sel & (x[posn] ^ y[posn]);
|
||||||
x[posn] ^= dummy;
|
x[posn] ^= dummy;
|
||||||
}
|
}
|
||||||
|
#else // CURVE25519_ASM_AVR
|
||||||
|
__asm__ __volatile__ (
|
||||||
|
// Combine all bytes from "select" into one and then turn
|
||||||
|
// that byte into the "sel" mask in r24.
|
||||||
|
"clr r24\n"
|
||||||
|
#if BIGNUMBER_LIMB_8BIT
|
||||||
|
"sub r24,%2\n"
|
||||||
|
#elif BIGNUMBER_LIMB_16BIT
|
||||||
|
"or %A2,%B2\n"
|
||||||
|
"sub r24,%A2\n"
|
||||||
|
#elif BIGNUMBER_LIMB_32BIT
|
||||||
|
"or %A2,%B2\n"
|
||||||
|
"or %A2,%C2\n"
|
||||||
|
"or %A2,%D2\n"
|
||||||
|
"sub r24,%A2\n"
|
||||||
|
#endif
|
||||||
|
"mov r24,__zero_reg__\n"
|
||||||
|
"sbc r24,r24\n"
|
||||||
|
|
||||||
|
// Perform the conditional move 4 bytes at a time.
|
||||||
|
"ldi r25,8\n"
|
||||||
|
"1:\n"
|
||||||
|
"ld r16,X+\n" // r16:r19 = *x
|
||||||
|
"ld r17,X+\n"
|
||||||
|
"ld r18,X+\n"
|
||||||
|
"ld r19,X\n"
|
||||||
|
"ld r20,Z+\n" // r20:r23 = *y++
|
||||||
|
"ld r21,Z+\n"
|
||||||
|
"ld r22,Z+\n"
|
||||||
|
"ld r23,Z+\n"
|
||||||
|
"eor r20,r16\n" // r20:r23 = (r16:r19 ^ r20:r23) & sel
|
||||||
|
"eor r21,r17\n"
|
||||||
|
"eor r22,r18\n"
|
||||||
|
"eor r23,r19\n"
|
||||||
|
"and r20,r24\n"
|
||||||
|
"and r21,r24\n"
|
||||||
|
"and r22,r24\n"
|
||||||
|
"and r23,r24\n"
|
||||||
|
"eor r16,r20\n" // r16:r19 ^= r20:r23
|
||||||
|
"eor r17,r21\n"
|
||||||
|
"eor r18,r22\n"
|
||||||
|
"eor r19,r23\n"
|
||||||
|
"st X,r19\n" // *x++ = r16:r19
|
||||||
|
"st -X,r18\n"
|
||||||
|
"st -X,r17\n"
|
||||||
|
"st -X,r16\n"
|
||||||
|
"adiw r26,4\n"
|
||||||
|
"dec r25\n"
|
||||||
|
"brne 1b\n"
|
||||||
|
|
||||||
|
: : "x"(x), "z"(y), "r"(select)
|
||||||
|
: "r16", "r17", "r18", "r19", "r20", "r21", "r22", "r23",
|
||||||
|
"r24", "r25"
|
||||||
|
);
|
||||||
|
#endif // CURVE25519_ASM_AVR
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
|
|||||||
Loading…
x
Reference in New Issue
Block a user