jubjub-mul.lisp 1.8 KB

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  1. (println "jubjub-mul.lisp")
  2. (def! param4 (scalar "015d8c7f5b43fe33f7891142c001d9251f3abeeb98fad3e87b0dc53c4ebf1891"))
  3. (def! param3 (scalar "15a36d1f0f390d8852a35a8c1908dd87a361ee3fd48fdf77b9819dc82d90607e"))
  4. (def! param2 (scalar "015d8c7f5b43fe33f7891142c001d9251f3abeeb98fad3e87b0dc53c4ebf1891"))
  5. (def! param1 (scalar "15a36d1f0f390d8852a35a8c1908dd87a361ee3fd48fdf77b9819dc82d90607e"))
  6. (setup
  7. (prove
  8. (
  9. (def! double (fn* [val1 val2] (
  10. (def! u11 (alloc "u11" (scalar val1)))
  11. (def! v11 (alloc "v11" (scalar val2)))
  12. (def! U1 (alloc-input "U1" (* u11 v11)))
  13. (enforce
  14. (scalar::one u11)
  15. (scalar::one v11)
  16. (scalar::one U1)
  17. )
  18. )
  19. ))
  20. (def! u1 (alloc "u1" param1))
  21. (def! v1 (alloc "v1" param2))
  22. (def! u2 (alloc "u2" param3))
  23. (def! v2 (alloc "v2" param4))
  24. (def! EDWARDS_D (alloc-const "EDWARDS_D" (scalar "2a9318e74bfa2b48f5fd9207e6bd7fd4292d7f6d37579d2601065fd6d6343eb1")))
  25. (def! U (alloc "U" (* (+ u1 v1) (+ u2 v2))))
  26. (def! A (alloc "A" (* v2 u1)))
  27. (def! B (alloc "B" (* u2 v1)))
  28. (def! C (alloc "C" (* EDWARDS_D (* A B))))
  29. (def! u3 (alloc-input "u3" (/ (+ A B) (+ scalar::one C))))
  30. (def! v3 (alloc-input "v3" (/ (- (- U A) B) (- scalar::one C))))
  31. (double param1 param1)
  32. (
  33. (enforce
  34. ((scalar::one u1) (scalar::one v1))
  35. ((scalar::one u2) (scalar::one v2))
  36. (scalar::one U)
  37. )
  38. (enforce
  39. (EDWARDS_D A)
  40. (scalar::one B)
  41. (scalar::one C)
  42. )
  43. (enforce
  44. ((scalar::one cs::one)(scalar::one C))
  45. (scalar::one u3)
  46. ((scalar::one A) (scalar::one B))
  47. )
  48. (enforce
  49. ((scalar::one cs::one) (scalar::one::neg C))
  50. (scalar::one v3)
  51. ((scalar::one U) (scalar::one::neg A) (scalar::one::neg B))
  52. )
  53. )
  54. )
  55. )
  56. )