2022-10-07 15:41:46 -07:00
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// cost: 6 loads + 6 offsets + 5 adds = 6*4 + 6*1 + 5*2 = 40
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%macro load_fp6(offset)
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// stack:
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PUSH $offset
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%add_const(5)
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%mload_kernel_general
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// stack: x5
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PUSH $offset
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%add_const(4)
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%mload_kernel_general
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// stack: x4, x5
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PUSH $offset
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%add_const(3)
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%mload_kernel_general
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// stack: x3, x4, x5
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PUSH $offset
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%add_const(2)
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%mload_kernel_general
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// stack: x2, x3, x4, x5
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PUSH $offset
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%add_const(1)
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%mload_kernel_general
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// stack: x1, x2, x3, x4, x5
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PUSH $offset
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%mload_kernel_general
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// stack: x0, x1, x2, x3, x4, x5
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%endmacro
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// cost: 40
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%macro store_fp6(offset)
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// stack: x0, x1, x2, x3, x4, x5
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PUSH $offset
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%mstore_kernel_general
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// stack: x1, x2, x3, x4, x5
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PUSH $offset
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%add_const(1)
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%mstore_kernel_general
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// stack: x2, x3, x4, x5
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PUSH $offset
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%add_const(2)
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%mstore_kernel_general
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// stack: x3, x4, x5
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PUSH $offset
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%add_const(3)
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%mstore_kernel_general
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// stack: x4, x5
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PUSH $offset
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%add_const(4)
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%mstore_kernel_general
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// stack: x5
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PUSH $offset
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%add_const(5)
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%mstore_kernel_general
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// stack:
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%endmacro
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2022-10-18 11:23:43 -04:00
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// cost: store (40) + i9 (9) = 49
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2022-10-07 18:13:32 -07:00
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%macro store_fp6_sh(offset)
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// stack: x0, x1, x2, x3, x4, x5
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PUSH $offset
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%add_const(2)
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%mstore_kernel_general
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// stack: x1, x2, x3, x4, x5
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PUSH $offset
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%add_const(3)
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%mstore_kernel_general
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// stack: x2, x3, x4, x5
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PUSH $offset
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%add_const(4)
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%mstore_kernel_general
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// stack: x3, x4, x5
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PUSH $offset
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%add_const(5)
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%mstore_kernel_general
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// stack: x4, x5
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%i9
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// stack: y5, y4
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PUSH $offset
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%add_const(1)
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%mstore_kernel_general
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// stack: y4
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PUSH $offset
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%mstore_kernel_general
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// stack:
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%endmacro
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2022-10-18 12:47:31 -04:00
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// cost: 9; note this returns y, x for x + yi
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%macro i9
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// stack: a , b
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DUP2
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DUP2
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// stack: a , b, a , b
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PUSH 9
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MULFP254
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SUBFP254
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// stack: 9a - b, a , b
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SWAP2
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// stack: b , a, 9a - b
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PUSH 9
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MULFP254
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ADDFP254
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// stack: 9b + a, 9a - b
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%endmacro
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2022-10-07 15:41:46 -07:00
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// cost: 6
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%macro dup1_fp6
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2022-10-18 12:04:26 -04:00
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// stack: f: 6
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2022-10-07 15:41:46 -07:00
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DUP6
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DUP6
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DUP6
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DUP6
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DUP6
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DUP6
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2022-10-18 12:04:26 -04:00
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// stack: f: 6, g: 6
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2022-10-07 15:41:46 -07:00
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%endmacro
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// cost: 6
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%macro dup2_fp6
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2022-10-18 12:04:26 -04:00
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// stack: f: 6, g: 6
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2022-10-07 15:41:46 -07:00
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DUP12
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DUP12
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DUP12
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DUP12
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DUP12
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DUP12
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2022-10-18 12:04:26 -04:00
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// stack: g: 6, f: 6, g: 6
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2022-10-07 15:41:46 -07:00
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%endmacro
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// cost: 16
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%macro swap_fp6
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// stack: f0, f1, f2, f3, f4, f5, g0, g1, g2, g3, g4, g5
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SWAP6
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// stack: g0, f1, f2, f3, f4, f5, f0, g1, g2, g3, g4, g5
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SWAP1
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SWAP7
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SWAP1
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// stack: g0, g1, f2, f3, f4, f5, f0, f1, g2, g3, g4, g5
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SWAP2
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SWAP8
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SWAP2
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// stack: g0, g1, g2, f3, f4, f5, f0, f1, f2, g3, g4, g5
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SWAP3
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SWAP9
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SWAP3
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// stack: g0, g1, g2, g3, f4, f5, f0, f1, f2, f3, g4, g5
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SWAP4
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SWAP10
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SWAP4
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// stack: g0, g1, g2, g3, g4, f5, f0, f1, f2, f3, f4, g5
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SWAP5
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SWAP11
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SWAP5
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// stack: g0, g1, g2, g3, g4, g5, f0, f1, f2, f3, f4, f5
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%endmacro
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// cost: 16
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%macro add_fp6
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// stack: f0, f1, f2, f3, f4, f5, g0, g1, g2, g3, g4, g5
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SWAP7
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2022-10-17 11:02:24 -04:00
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ADDFP254
|
2022-10-07 15:41:46 -07:00
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SWAP6
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// stack: f0, f2, f3, f4, f5, g0, h1, g2, g3, g4, g5
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SWAP7
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2022-10-17 11:02:24 -04:00
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ADDFP254
|
2022-10-07 15:41:46 -07:00
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SWAP6
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// stack: f0, f3, f4, f5, g0, h1, h2, g3, g4, g5
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SWAP7
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2022-10-17 11:02:24 -04:00
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ADDFP254
|
2022-10-07 15:41:46 -07:00
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SWAP6
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// stack: f0, f4, f5, g0, h1, h2, h3, g4, g5
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SWAP7
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2022-10-17 11:02:24 -04:00
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ADDFP254
|
2022-10-07 15:41:46 -07:00
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SWAP6
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// stack: f0, f5, g0, h1, h2, h3, h4, g5
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SWAP7
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2022-10-17 11:02:24 -04:00
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ADDFP254
|
2022-10-07 15:41:46 -07:00
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SWAP6
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// stack: f0, g0, h1, h2, h3, h4, h5
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2022-10-17 11:02:24 -04:00
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ADDFP254
|
2022-10-07 15:41:46 -07:00
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// stack: h0, h1, h2, h3, h4, h5
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%endmacro
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|
2022-10-19 10:31:43 -04:00
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// *reversed argument subtraction* cost: 17
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2022-10-07 15:41:46 -07:00
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%macro bus_fp6
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// stack: f0, f1, f2, f3, f4, f5, g0, g1, g2, g3, g4, g5
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SWAP7
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2022-10-17 11:02:24 -04:00
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SUBFP254
|
2022-10-07 15:41:46 -07:00
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SWAP6
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// stack: f0, f2, f3, f4, f5, g0, h1, g2, g3, g4, g5
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SWAP7
|
2022-10-17 11:02:24 -04:00
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SUBFP254
|
2022-10-07 15:41:46 -07:00
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SWAP6
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// stack: f0, f3, f4, f5, g0, h1, h2, g3, g4, g5
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SWAP7
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2022-10-17 11:02:24 -04:00
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SUBFP254
|
2022-10-07 15:41:46 -07:00
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SWAP6
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// stack: f0, f4, f5, g0, h1, h2, h3, g4, g5
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SWAP7
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2022-10-17 11:02:24 -04:00
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SUBFP254
|
2022-10-07 15:41:46 -07:00
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SWAP6
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// stack: f0, f5, g0, h1, h2, h3, h4, g5
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SWAP7
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2022-10-17 11:02:24 -04:00
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SUBFP254
|
2022-10-07 15:41:46 -07:00
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SWAP6
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// stack: f0, g0, h1, h2, h3, h4, h5
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2022-10-17 15:58:56 -04:00
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SWAP1
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2022-10-17 11:02:24 -04:00
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SUBFP254
|
2022-10-07 15:41:46 -07:00
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// stack: h0, h1, h2, h3, h4, h5
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%endmacro
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2022-10-18 00:21:12 -04:00
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// cost: 156
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%macro mul_fp6
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/// C = C0 + C1t + C2t^2
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/// = (c0 + c0_i) + (c1 + c1_i)t + (c2 + c2_i)t^2
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///
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/// D = D0 + D1t + D2t^2
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/// = (d0 + d0_i) + (d1 + d1_i)t + (d2 + d2_i)t^2
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///
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2022-10-19 10:31:43 -04:00
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/// E = E0 + E1t + E2t^2 = CD
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///
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2022-10-18 00:21:12 -04:00
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/// initial stack: c0, c0_, c1, c1_, c2, c2_, d0, d0_, d1, d1_, d2, d2_
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/// final stack: e0, e0_, e1, e1_, e2, e2_
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/// E0 = C0D0 + i9(C1D2 + C2D1)
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///
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/// C0D0 = (c0d0 - c0_d0_) + (c0d0_ + c0_d0)i
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///
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/// C1D2 = (c1d2 - c1_d2_) + (c1d2_ + c1_d2)i
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|
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/// C2D1 = (c2d1 - c2_d1_) + (c2d1_ + c2_d1)i
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|
|
///
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|
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|
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/// CDX = C1D2 + C2D1
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/// = (c1d2 + c2d1 - c1_d2_ - c2_d1_) + (c1d2_ + c1_d2 + c2d1_ + c2_d1)i
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|
|
///
|
|
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|
|
/// i9(CDX) = (9CDX - CDX_) + (CDX + 9CDX_)i
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|
|
///
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|
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|
|
/// E0 = 9CDX - CDX_ + C0D0
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|
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|
|
/// E0_ = 9CDX_ + CDX + C0D0_
|
|
|
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|
|
2022-10-19 10:31:43 -04:00
|
|
|
// make CDX_ = c1d2_ + c1_d2 + c2d1_ + c2_d1
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP12
|
|
|
|
|
DUP4
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP12
|
|
|
|
|
DUP6
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
DUP11
|
|
|
|
|
DUP7
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
DUP10
|
|
|
|
|
DUP8
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// make C0D0_ = c0d0_ + c0_d0
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP9
|
|
|
|
|
DUP3
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP9
|
|
|
|
|
DUP5
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// make CDX = c1d2 + c2d1 - c1_d2_ - c2_d1_
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP12
|
|
|
|
|
DUP9
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP15
|
|
|
|
|
DUP8
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
DUP14
|
|
|
|
|
DUP7
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP13
|
|
|
|
|
DUP10
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
SUBFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// make C0D0 = c0d0 - c0_d0_
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP11
|
|
|
|
|
DUP6
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP11
|
|
|
|
|
DUP6
|
|
|
|
|
MULFP254
|
|
|
|
|
SUBFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
|
|
|
|
|
// stack: C0D0 , CDX , C0D0_, CDX_
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP4
|
|
|
|
|
DUP3
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: CDX , CDX_ , C0D0 , CDX , C0D0_, CDX_
|
2022-10-18 00:21:12 -04:00
|
|
|
PUSH 9
|
|
|
|
|
MULFP254
|
|
|
|
|
SUBFP254
|
|
|
|
|
ADDFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: E0 = 9CDX - CDX_ + C0D0 , CDX , C0D0_, CDX_
|
2022-10-18 00:21:12 -04:00
|
|
|
SWAP15
|
|
|
|
|
SWAP3
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: CDX_ , CDX , C0D0_
|
2022-10-18 00:21:12 -04:00
|
|
|
PUSH 9
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
ADDFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: E0_ = 9CDX_ + CDX + C0D0_
|
2022-10-18 00:21:12 -04:00
|
|
|
SWAP9
|
|
|
|
|
|
|
|
|
|
/// E1 = C0D1 + C1D0 + i9(C2D2)
|
|
|
|
|
///
|
|
|
|
|
/// C0D1 = (c0d1 - c0_d1_) + (c0d1_ + c0_d1)i
|
|
|
|
|
/// C1D0 = (c1d0 - c1_d0_) + (c1d0_ + c1_d0)i
|
|
|
|
|
///
|
2022-10-19 10:31:43 -04:00
|
|
|
/// CD01 = c0d1 + c1d0 - (c0_d1_ + c1_d0_)
|
|
|
|
|
/// CD01_ = c0d1_ + c0_d1 + c1d0_ + c1_d0
|
|
|
|
|
///
|
2022-10-18 00:21:12 -04:00
|
|
|
/// C2D2 = (c2d2 - c2_d2_) + (c2d2_ + c2_d2)i
|
|
|
|
|
/// i9(C2D2) = (9C2D2 - C2D2_) + (C2D2 + 9C2D2_)i
|
|
|
|
|
///
|
2022-10-19 10:31:43 -04:00
|
|
|
/// E1 = 9C2D2 - C2D2_ + CD01
|
|
|
|
|
/// E1_ = C2D2 + 9C2D2_ + CD01_
|
2022-10-18 00:21:12 -04:00
|
|
|
|
2022-10-19 10:31:43 -04:00
|
|
|
// make C2D2_ = c2d2_ + c2_d2
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP13
|
|
|
|
|
DUP9
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP3
|
|
|
|
|
DUP9
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// make C2D2 = c2d2 - c2_d2_
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP3
|
|
|
|
|
DUP10
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP15
|
|
|
|
|
DUP10
|
|
|
|
|
MULFP254
|
|
|
|
|
SUBFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// make C0D0 = c0d1 + c1d0 - (c0_d1_ + c1_d0_)
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP3
|
|
|
|
|
DUP9
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP15
|
|
|
|
|
DUP8
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
DUP12
|
|
|
|
|
DUP9
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP15
|
|
|
|
|
DUP8
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
SUBFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: C0D0, C2D2, C2D2_
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP3
|
|
|
|
|
DUP3
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: C2D2 , C2D2_ , C0D0, C2D2, C2D2_
|
2022-10-18 00:21:12 -04:00
|
|
|
PUSH 9
|
|
|
|
|
MULFP254
|
|
|
|
|
SUBFP254
|
|
|
|
|
ADDFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: E1 = 9C2D2 - C2D2_ + C0D0, C2D2, C2D2_
|
2022-10-18 00:21:12 -04:00
|
|
|
SWAP13
|
|
|
|
|
SWAP2
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: C2D2_, C2D2
|
2022-10-18 00:21:12 -04:00
|
|
|
PUSH 9
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
// stack: 9C2D2_ + C2D2
|
2022-10-19 10:31:43 -04:00
|
|
|
// make CD01_ = c0d1_ + c0_d1 + c1d0_ + c1_d0
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP11
|
|
|
|
|
DUP9
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP4
|
|
|
|
|
DUP9
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
DUP3
|
|
|
|
|
DUP8
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
DUP15
|
|
|
|
|
DUP7
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: CD01_ , 9C2D2_ + C2D2
|
2022-10-18 00:21:12 -04:00
|
|
|
ADDFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: E1_ = CD01_ + 9C2D2_ + C2D2
|
2022-10-18 00:21:12 -04:00
|
|
|
SWAP13
|
2022-10-18 12:47:31 -04:00
|
|
|
|
2022-10-18 00:21:12 -04:00
|
|
|
/// E2 = C0D2 + C1D1 + C2D0
|
|
|
|
|
///
|
|
|
|
|
/// C0D2 = (c0d2 - c0_d2_) + (c0d2_ + c0_d2)i
|
|
|
|
|
/// C1D1 = (c1d1 - c1_d1_) + (c1d1_ + c1_d1)i
|
|
|
|
|
/// C2D0 = (c2d0 - c2_d0_) + (c2d0_ + c2_d0)i
|
|
|
|
|
///
|
|
|
|
|
/// E2 = c0d2 + c1d1 + c2d0 - (c0_d2_ + c1_d1_ + c2_d0_)
|
|
|
|
|
/// E2_ = c0d2_ + c0_d2 + c1d1_ + c1_d1 + c2d0_ + c2_d0
|
2022-10-18 12:04:26 -04:00
|
|
|
|
2022-10-19 10:31:43 -04:00
|
|
|
// make c0_d2_ + c1_d1_ + c2_d0_
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP3
|
|
|
|
|
DUP11
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP2
|
|
|
|
|
DUP10
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
DUP5
|
|
|
|
|
DUP8
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// make c0d2 + c1d1 + c2d0
|
2022-10-18 00:21:12 -04:00
|
|
|
DUP16
|
|
|
|
|
DUP7
|
|
|
|
|
MULFP254
|
|
|
|
|
DUP4
|
|
|
|
|
DUP10
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
DUP13
|
|
|
|
|
DUP12
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: c0d2 + c1d1 + c2d0 , c0_d2_ + c1_d1_ + c2_d0_
|
2022-10-18 00:21:12 -04:00
|
|
|
SUBFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: E2 = c0d2 + c1d1 + c2d0 - (c0_d2_ + c1_d1_ + c2_d0_)
|
2022-10-18 00:21:12 -04:00
|
|
|
SWAP15
|
2022-10-19 10:31:43 -04:00
|
|
|
// make c0d2_ + c0_d2 + c1d1_ + c1_d1 + c2d0_ + c2_d0
|
2022-10-18 00:21:12 -04:00
|
|
|
SWAP7
|
|
|
|
|
MULFP254
|
|
|
|
|
SWAP7
|
|
|
|
|
MULFP254
|
|
|
|
|
SWAP7
|
|
|
|
|
MULFP254
|
|
|
|
|
SWAP2
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
SWAP2
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
ADDFP254
|
|
|
|
|
SWAP2
|
|
|
|
|
MULFP254
|
|
|
|
|
ADDFP254
|
2022-10-19 10:31:43 -04:00
|
|
|
// stack: E2_ = c0d2_ + c0_d2 + c1d1_ + c1_d1 + c2d0_ + c2_d0
|
2022-10-18 00:21:12 -04:00
|
|
|
SWAP5
|
|
|
|
|
%endmacro
|
