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-rw-r--r--plugin/auth_ed25519/ref10/sc_reduce.c275
1 files changed, 275 insertions, 0 deletions
diff --git a/plugin/auth_ed25519/ref10/sc_reduce.c b/plugin/auth_ed25519/ref10/sc_reduce.c
new file mode 100644
index 00000000..d01f5a57
--- /dev/null
+++ b/plugin/auth_ed25519/ref10/sc_reduce.c
@@ -0,0 +1,275 @@
+#include "sc.h"
+#include "crypto_int64.h"
+#include "crypto_uint32.h"
+#include "crypto_uint64.h"
+
+static crypto_uint64 load_3(const unsigned char *in)
+{
+ crypto_uint64 result;
+ result = (crypto_uint64) in[0];
+ result |= ((crypto_uint64) in[1]) << 8;
+ result |= ((crypto_uint64) in[2]) << 16;
+ return result;
+}
+
+static crypto_uint64 load_4(const unsigned char *in)
+{
+ crypto_uint64 result;
+ result = (crypto_uint64) in[0];
+ result |= ((crypto_uint64) in[1]) << 8;
+ result |= ((crypto_uint64) in[2]) << 16;
+ result |= ((crypto_uint64) in[3]) << 24;
+ return result;
+}
+
+/*
+Input:
+ s[0]+256*s[1]+...+256^63*s[63] = s
+
+Output:
+ s[0]+256*s[1]+...+256^31*s[31] = s mod l
+ where l = 2^252 + 27742317777372353535851937790883648493.
+ Overwrites s in place.
+*/
+
+void sc_reduce(unsigned char *s)
+{
+ crypto_int64 s0 = 2097151 & load_3(s);
+ crypto_int64 s1 = 2097151 & (load_4(s + 2) >> 5);
+ crypto_int64 s2 = 2097151 & (load_3(s + 5) >> 2);
+ crypto_int64 s3 = 2097151 & (load_4(s + 7) >> 7);
+ crypto_int64 s4 = 2097151 & (load_4(s + 10) >> 4);
+ crypto_int64 s5 = 2097151 & (load_3(s + 13) >> 1);
+ crypto_int64 s6 = 2097151 & (load_4(s + 15) >> 6);
+ crypto_int64 s7 = 2097151 & (load_3(s + 18) >> 3);
+ crypto_int64 s8 = 2097151 & load_3(s + 21);
+ crypto_int64 s9 = 2097151 & (load_4(s + 23) >> 5);
+ crypto_int64 s10 = 2097151 & (load_3(s + 26) >> 2);
+ crypto_int64 s11 = 2097151 & (load_4(s + 28) >> 7);
+ crypto_int64 s12 = 2097151 & (load_4(s + 31) >> 4);
+ crypto_int64 s13 = 2097151 & (load_3(s + 34) >> 1);
+ crypto_int64 s14 = 2097151 & (load_4(s + 36) >> 6);
+ crypto_int64 s15 = 2097151 & (load_3(s + 39) >> 3);
+ crypto_int64 s16 = 2097151 & load_3(s + 42);
+ crypto_int64 s17 = 2097151 & (load_4(s + 44) >> 5);
+ crypto_int64 s18 = 2097151 & (load_3(s + 47) >> 2);
+ crypto_int64 s19 = 2097151 & (load_4(s + 49) >> 7);
+ crypto_int64 s20 = 2097151 & (load_4(s + 52) >> 4);
+ crypto_int64 s21 = 2097151 & (load_3(s + 55) >> 1);
+ crypto_int64 s22 = 2097151 & (load_4(s + 57) >> 6);
+ crypto_int64 s23 = (load_4(s + 60) >> 3);
+ crypto_int64 carry0;
+ crypto_int64 carry1;
+ crypto_int64 carry2;
+ crypto_int64 carry3;
+ crypto_int64 carry4;
+ crypto_int64 carry5;
+ crypto_int64 carry6;
+ crypto_int64 carry7;
+ crypto_int64 carry8;
+ crypto_int64 carry9;
+ crypto_int64 carry10;
+ crypto_int64 carry11;
+ crypto_int64 carry12;
+ crypto_int64 carry13;
+ crypto_int64 carry14;
+ crypto_int64 carry15;
+ crypto_int64 carry16;
+
+ s11 += s23 * 666643;
+ s12 += s23 * 470296;
+ s13 += s23 * 654183;
+ s14 -= s23 * 997805;
+ s15 += s23 * 136657;
+ s16 -= s23 * 683901;
+ s23 = 0;
+
+ s10 += s22 * 666643;
+ s11 += s22 * 470296;
+ s12 += s22 * 654183;
+ s13 -= s22 * 997805;
+ s14 += s22 * 136657;
+ s15 -= s22 * 683901;
+ s22 = 0;
+
+ s9 += s21 * 666643;
+ s10 += s21 * 470296;
+ s11 += s21 * 654183;
+ s12 -= s21 * 997805;
+ s13 += s21 * 136657;
+ s14 -= s21 * 683901;
+ s21 = 0;
+
+ s8 += s20 * 666643;
+ s9 += s20 * 470296;
+ s10 += s20 * 654183;
+ s11 -= s20 * 997805;
+ s12 += s20 * 136657;
+ s13 -= s20 * 683901;
+ s20 = 0;
+
+ s7 += s19 * 666643;
+ s8 += s19 * 470296;
+ s9 += s19 * 654183;
+ s10 -= s19 * 997805;
+ s11 += s19 * 136657;
+ s12 -= s19 * 683901;
+ s19 = 0;
+
+ s6 += s18 * 666643;
+ s7 += s18 * 470296;
+ s8 += s18 * 654183;
+ s9 -= s18 * 997805;
+ s10 += s18 * 136657;
+ s11 -= s18 * 683901;
+ s18 = 0;
+
+ carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
+ carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
+ carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
+ carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
+ carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
+ carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;
+
+ carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
+ carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
+ carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
+ carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
+ carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;
+
+ s5 += s17 * 666643;
+ s6 += s17 * 470296;
+ s7 += s17 * 654183;
+ s8 -= s17 * 997805;
+ s9 += s17 * 136657;
+ s10 -= s17 * 683901;
+ s17 = 0;
+
+ s4 += s16 * 666643;
+ s5 += s16 * 470296;
+ s6 += s16 * 654183;
+ s7 -= s16 * 997805;
+ s8 += s16 * 136657;
+ s9 -= s16 * 683901;
+ s16 = 0;
+
+ s3 += s15 * 666643;
+ s4 += s15 * 470296;
+ s5 += s15 * 654183;
+ s6 -= s15 * 997805;
+ s7 += s15 * 136657;
+ s8 -= s15 * 683901;
+ s15 = 0;
+
+ s2 += s14 * 666643;
+ s3 += s14 * 470296;
+ s4 += s14 * 654183;
+ s5 -= s14 * 997805;
+ s6 += s14 * 136657;
+ s7 -= s14 * 683901;
+ s14 = 0;
+
+ s1 += s13 * 666643;
+ s2 += s13 * 470296;
+ s3 += s13 * 654183;
+ s4 -= s13 * 997805;
+ s5 += s13 * 136657;
+ s6 -= s13 * 683901;
+ s13 = 0;
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
+ carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
+ carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
+ carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
+ carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
+ carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
+
+ carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
+ carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
+ carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
+ carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
+ carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
+ carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
+ carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
+ carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
+ carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
+ carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
+ carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
+ carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
+ carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
+ carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
+ carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
+ carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
+ carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
+ carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
+ carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
+ carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
+ carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
+ carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
+ carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
+ carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
+ carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
+ carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
+ carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
+
+ s[0] = s0 >> 0;
+ s[1] = s0 >> 8;
+ s[2] = (s0 >> 16) | (s1 << 5);
+ s[3] = s1 >> 3;
+ s[4] = s1 >> 11;
+ s[5] = (s1 >> 19) | (s2 << 2);
+ s[6] = s2 >> 6;
+ s[7] = (s2 >> 14) | (s3 << 7);
+ s[8] = s3 >> 1;
+ s[9] = s3 >> 9;
+ s[10] = (s3 >> 17) | (s4 << 4);
+ s[11] = s4 >> 4;
+ s[12] = s4 >> 12;
+ s[13] = (s4 >> 20) | (s5 << 1);
+ s[14] = s5 >> 7;
+ s[15] = (s5 >> 15) | (s6 << 6);
+ s[16] = s6 >> 2;
+ s[17] = s6 >> 10;
+ s[18] = (s6 >> 18) | (s7 << 3);
+ s[19] = s7 >> 5;
+ s[20] = s7 >> 13;
+ s[21] = s8 >> 0;
+ s[22] = s8 >> 8;
+ s[23] = (s8 >> 16) | (s9 << 5);
+ s[24] = s9 >> 3;
+ s[25] = s9 >> 11;
+ s[26] = (s9 >> 19) | (s10 << 2);
+ s[27] = s10 >> 6;
+ s[28] = (s10 >> 14) | (s11 << 7);
+ s[29] = s11 >> 1;
+ s[30] = s11 >> 9;
+ s[31] = s11 >> 17;
+}