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Diffstat (limited to 'xor.in')
| -rw-r--r-- | xor.in | 106 |
1 files changed, 106 insertions, 0 deletions
@@ -0,0 +1,106 @@ +// Agents +// Built-in +// Eraser: delete other agents recursively +// Dup: duplicates other agents recursively + +// Implemented +// Linear(x, int q, int r): represent "q*x + r" +// Concrete(int k): represent a concrete value k +// Symbolic(id): represent the variable id +// Add(out, b): represent the addition (has various steps AddCheckLinear/AddCheckConcrete) +// Mul(out, b): represent the multiplication (has various steps MulCheckLinear/MulCheckConcrete) +// ReLU(out): represent "if x > 0 ? x ; 0" +// Materialize(out): transforms a Linear packet into a final representation of TermAdd/TermMul/TermReLU + +// TODO: add range information to enable ReLU elimination + +// Rules +Linear(x, int q, int r) >< Add(out, b) => b ~ AddCheckLinear(out, x, q, r); + +Concrete(int k) >< Add(out, b) + | k == 0 => out ~ b + | _ => b ~ AddCheckConcrete(out, k); + +Linear(y, int s, int t) >< AddCheckLinear(out, x, int q, int r) + | (q == 0) && (r == 0) && (s == 0) && (t == 0) => out ~ Concrete(0), x ~ Eraser, y ~ Eraser + | (s == 0) && (t == 0) => Linear(x, q, r) ~ Materialize(out), y ~ Eraser + | (q == 0) && (r == 0) => (*L)Linear(y, s, t) ~ Materialize(out), x ~ Eraser + | _ => Linear(x, q, r) ~ Materialize(out_x), (*L)Linear(y, s, t) ~ Materialize(out_y), out ~ Linear(TermAdd(out_x, out_y), 1, 0); + +Concrete(int j) >< AddCheckLinear(out, x, int q, int r) => out ~ Linear(x, q, r + j); + +Linear(y, int s, int t) >< AddCheckConcrete(out, int k) => out ~ Linear(y, s, t + k); + +Concrete(int j) >< AddCheckConcrete(out, int k) + | j == 0 => out ~ Concrete(k) + | _ => out ~ Concrete(k + j); + +Linear(x, int q, int r) >< Mul(out, b) => b ~ MulCheckLinear(out, x, q, r); + +Concrete(int k) >< Mul(out, b) + | k == 0 => b ~ Eraser, out ~ (*L)Concrete(0) + | k == 1 => out ~ b + | _ => b ~ MulCheckConcrete(out, k); + +Linear(y, int s, int t) >< MulCheckLinear(out, x, int q, int r) + | (q == 0) && (r == 0) && (s == 0) && (t == 0) => out ~ Concrete(0), x ~ Eraser, y ~ Eraser + | (s == 0) && (t == 0) => Linear(x, q, r) ~ Materialize(out), y ~ Eraser + | (q == 0) && (r == 0) => (*L)Linear(y, s, t) ~ Materialize(out), x ~ Eraser + | _ => Linear(x, q, r) ~ Materialize(out_x), (*L)Linear(y, s, t) ~ Materialize(out_y), out ~ Linear(TermMul(out_x, out_y), 1, 0); + +Concrete(int j) >< MulCheckLinear(out, x, int q, int r) => out ~ Linear(x, q * j, r * j); + +Linear(y, int s, int t) >< MulCheckConcrete(out, int k) => out ~ Linear(y, s * k, t * k); + +Concrete(int j) >< MulCheckConcrete(out, int k) + | j == 0 => out ~ Concrete(0) + | j == 1 => out ~ Concrete(k) + | _ => out ~ Concrete(k * j); + +Linear(x, int q, int r) >< ReLU(out) => (*L)Linear(x, q, r) ~ Materialize(out_x), out ~ Linear(TermReLU(out_x), 1, 0); + +Concrete(int k) >< ReLU(out) + | k > 0 => out ~ (*L)Concrete(k) + | _ => out ~ Concrete(0); + +Linear(x, int q, int r) >< Materialize(out) + | (q == 0) => out ~ Concrete(r), x ~ Eraser + | (q == 1) && (r == 0) => out ~ x + | (q == 1) && (r != 0) => out ~ TermAdd(x, Concrete(r)) + | (q != 0) && (r == 0) => out ~ TermMul(Concrete(q), x) + | _ => out ~ TermAdd(TermMul(Concrete(q), x), Concrete(r)); + + +// Wiring +Dup(v0, Dup(v1, Dup(v2, v3))) ~ Linear(Symbolic(0), 1, 0); +Mul(v4, Concrete(-693)) ~ v0; +Add(v5, v4) ~ Concrete(-692); +Mul(v6, Concrete(-78)) ~ v1; +Add(v7, v6) ~ Concrete(916); +Mul(v8, Concrete(235)) ~ v2; +Add(v9, v8) ~ Concrete(-424); +Mul(v10, Concrete(181)) ~ v3; +Add(v11, v10) ~ Concrete(202); +Dup(v12, Dup(v13, Dup(v14, v15))) ~ Linear(Symbolic(1), 1, 0); +Mul(v16, Concrete(-674)) ~ v12; +Add(v17, v16) ~ v5; +Mul(v18, Concrete(-97)) ~ v13; +Add(v19, v18) ~ v7; +Mul(v20, Concrete(-572)) ~ v14; +Add(v21, v20) ~ v9; +Mul(v22, Concrete(224)) ~ v15; +Add(v23, v22) ~ v11; +ReLU(v24) ~ v17; +ReLU(v25) ~ v19; +ReLU(v26) ~ v21; +ReLU(v27) ~ v23; +Mul(v28, Concrete(-318)) ~ v24; +Add(v29, v28) ~ Concrete(-89); +Mul(v30, Concrete(587)) ~ v25; +Add(v31, v30) ~ v29; +Mul(v32, Concrete(-250)) ~ v26; +Add(v33, v32) ~ v31; +Mul(v34, Concrete(254)) ~ v27; +Add(v35, v34) ~ v33; +Materialize(result0) ~ v35; +result0;
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