miden-stdlib 0.19.1

Miden VM standard library
Documentation
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export.add_unsafe
    swapw.3
    movup.3
    movup.7
    u32overflowing_add
    movup.4
    movup.7
    u32overflowing_add3
    movup.4
    movup.6
    u32overflowing_add3
    movup.4
    movup.5
    u32overflowing_add3
    movdn.12
    swapw.2
    movup.12
    movup.4
    movup.8
    u32overflowing_add3
    movup.4
    movup.7
    u32overflowing_add3
    movup.4
    movup.6
    u32overflowing_add3
    movup.4
    movup.5
    u32overflowing_add3
    drop
end

export.sub_unsafe
    swapw.3
    movup.3
    movup.7
    u32overflowing_sub
    movup.7
    u32overflowing_add
    movup.5
    movup.2
    u32overflowing_sub
    movup.2
    add
    movup.6
    u32overflowing_add
    movup.5
    movup.2
    u32overflowing_sub
    movup.2
    add
    movup.5
    u32overflowing_add
    movup.5
    movup.2
    u32overflowing_sub
    movup.2
    add
    movdn.12
    swapw.2
    movup.12
    movup.4
    u32overflowing_add
    movup.8
    movup.2
    u32overflowing_sub
    movup.2
    add
    movup.4
    u32overflowing_add
    movup.7
    movup.2
    u32overflowing_sub
    movup.2
    add
    movup.4
    u32overflowing_add
    movup.6
    movup.2
    u32overflowing_sub
    movup.2
    add
    movup.5
    movup.5
    movup.2
    u32overflowing_add
    drop
    u32overflowing_sub
    drop
end

export.and
    swapw.3
    movup.3
    movup.7
    u32and
    movup.3
    movup.6
    u32and
    movup.3
    movup.5
    u32and
    movup.3
    movup.4
    u32and
    swapw.2
    movup.3
    movup.7
    u32and
    movup.3
    movup.6
    u32and
    movup.3
    movup.5
    u32and
    movup.3
    movup.4
    u32and
end

export.or
    swapw.3
    movup.3
    movup.7
    u32or
    movup.3
    movup.6
    u32or
    movup.3
    movup.5
    u32or
    movup.3
    movup.4
    u32or
    swapw.2
    movup.3
    movup.7
    u32or
    movup.3
    movup.6
    u32or
    movup.3
    movup.5
    u32or
    movup.3
    movup.4
    u32or
end

export.xor
    swapw.3
    movup.3
    movup.7
    u32xor
    movup.3
    movup.6
    u32xor
    movup.3
    movup.5
    u32xor
    movup.3
    movup.4
    u32xor
    swapw.2
    movup.3
    movup.7
    u32xor
    movup.3
    movup.6
    u32xor
    movup.3
    movup.5
    u32xor
    movup.3
    movup.4
    u32xor
end

export.iszero_unsafe
    eq.0
    repeat.7
        swap
        eq.0
        and
    end
end

export.eq_unsafe
    swapw.3
    eqw
    movdn.8
    dropw
    dropw
    movdn.8
    eqw
    movdn.8
    dropw
    dropw
    and
end

# ===== MULTIPLICATION ============================================================================

proc.mulstep
    movdn.2
    u32overflowing_madd
    movdn.2
    u32overflowing_add
    movup.2
    add
end

proc.mulstep4
    movup.12
    dup.1
    movup.10
    push.0 # start k at 0
    exec.mulstep
    swap
    movdn.9
    dup.1
    movup.9
    movup.13
    swap.3
    exec.mulstep
    swap
    movdn.8
    dup.1
    movup.8
    movup.12
    swap.3
    exec.mulstep
    swap
    movdn.7
    dup.1
    movup.7
    movup.11
    swap.3
    exec.mulstep
    swap
    movdn.6
end

#! Performs addition of two unsigned 256 bit integers discarding the overflow.
#! The input values are assumed to be represented using 32 bit limbs, but this is not checked.
#! Stack transition looks as follows:
#! [b7, b6, b5, b4, b3, b2, b1, b0, a7, a6, a5, a4, a3, a2, a1, a0, ...] -> [c7, c6, c5, c4, c3, c2, c1, c0, ...]
#! where c = (a * b) % 2^256, and a0, b0, and c0 are least significant 32-bit limbs of a, b, and c respectively.
export.mul_unsafe.24
    # Memory storing setup
    loc_storew_be.0
    dropw
    # b[5-8] at 0
    loc_storew_be.4
    # b[0-4] at 1
    push.0 dropw
    # b[0] at top of stack, followed by a[0-7]
    movdn.8
    loc_storew_be.8
    # a[0-4] at 2
    swapw
    loc_storew_be.12
    # a[5-8] at 3
    padw
    loc_storew_be.16
    loc_storew_be.20
    # p at 4 and 5

    # b[0]
    dropw
    swapw
    push.0.0.0.0
    loc_loadw_be.16
    movdnw.2
    movup.12

    exec.mulstep4

    movdn.9
    movdn.9
    swapw
    loc_storew_be.16
    dropw
    push.0.0.0.0
    loc_loadw_be.20
    swapw
    movup.9
    movup.9

    dup.1
    movup.6
    movup.10
    swap.3
    exec.mulstep
    swap
    movdn.5
    dup.1
    movup.5
    movup.9
    swap.3
    exec.mulstep
    swap
    movdn.4
    dup.1
    movup.4
    movup.8
    swap.3
    exec.mulstep
    swap
    movdn.3
    swap
    movup.2
    movup.6
    swap.3
    exec.mulstep

    drop
    loc_storew_be.20
    dropw

    # b[1]
    push.0.0.0.0
    loc_loadw_be.16
    push.0.0.0.0
    loc_loadw_be.20
    movup.7
    dropw
    push.0.0.0.0
    loc_loadw_be.12 push.0.0.0.0
    loc_loadw_be.8 # load the xs
    push.0.0.0.0
    loc_loadw_be.4
    movup.2
    movdn.3
    push.0 dropw # only need b[1]

    exec.mulstep4

    movdn.9
    movdn.9
    swapw
    movdn.3
    push.0.0.0.0
    loc_loadw_be.16
    push.0 dropw # only need p[0]
    movdn.3
    # save p[0-3] to memory, not needed any more
    loc_storew_be.16
    dropw

    push.0.0.0.0
    loc_loadw_be.20
    movup.3
    drop
    swapw
    movup.9
    movup.9

    dup.1
    movup.6
    movup.9
    swap.3
    exec.mulstep
    swap
    movdn.7
    dup.1
    movup.5
    movup.7
    swap.3
    exec.mulstep
    swap
    movdn.5
    swap
    movup.3
    movup.4
    swap.3
    exec.mulstep

    drop
    swap
    drop
    loc_storew_be.20
    dropw

    # b[2]
    push.0.0.0.0
    loc_loadw_be.16
    push.0.0.0.0
    loc_loadw_be.20
    movup.7
    movup.7
    dropw
    push.0.0.0.0
    loc_loadw_be.12 push.0.0.0.0
    loc_loadw_be.8 # load the xs
    push.0.0.0.0
    loc_loadw_be.4
    swap
    movdn.3
    push.0 dropw # only need b[1]

    exec.mulstep4

    movdn.9
    movdn.9
    swapw
    movdn.3
    movdn.3
    push.0.0.0.0
    loc_loadw_be.16
    drop drop
    movdn.3
    movdn.3
    loc_storew_be.16
    dropw

    push.0.0.0.0
    loc_loadw_be.20
    movup.3
    movup.3
    drop
    drop
    swapw
    movup.9
    movup.9

    dup.1
    movup.6
    movup.8
    swap.3
    exec.mulstep
    swap
    movdn.6
    dup.1
    movup.5
    movup.6
    swap.3
    exec.mulstep
    swap
    swap drop
    movdn.3
    drop drop drop
    loc_storew_be.20
    dropw

    # b[3]
    push.0.0.0.0
    loc_loadw_be.16
    push.0.0.0.0
    loc_loadw_be.20

    movup.7 movup.7 movup.7
    dropw
    push.0.0.0.0
    loc_loadw_be.12 push.0.0.0.0
    loc_loadw_be.8

    push.0.0.0.0
    loc_loadw_be.4
    movdn.3
    push.0 dropw

    exec.mulstep4

    movdn.9
    movdn.9

    swapw
    movup.3
    push.0.0.0.0
    loc_loadw_be.16
    drop
    movup.3

    loc_storew_be.16
    dropw
    push.0.0.0.0
    loc_loadw_be.20
    movdn.3
    push.0 dropw
    swapw
    movup.9
    movup.9

    swap
    movup.5
    movup.6
    swap.3
    exec.mulstep

    drop
    movdn.3
    push.0 dropw

    # b[4]
    push.0.0.0.0
    loc_loadw_be.12 push.0.0.0.0
    loc_loadw_be.8 # load the xs
    # OPTIM: don't need a[4-7], but can't use mulstep4 if we don't load

    push.0.0.0.0
    loc_loadw_be.0
    push.0 dropw # b[4]

    exec.mulstep4
    dropw drop drop # OPTIM: don't need a[4-7], but can't use mulstep4 if we don't load

    # b[5]
    push.0.0.0.0
    loc_loadw_be.12
    push.0.0.0.0
    loc_loadw_be.0
    movup.2 movdn.3
    push.0 dropw
    movup.7
    dup.1
    movup.6
    push.0
    exec.mulstep
    swap
    movdn.7
    movup.4
    dup.2
    movup.7
    swap.3
    exec.mulstep
    swap
    movdn.5
    swap
    movup.3
    movup.4
    swap.3
    exec.mulstep
    drop
    swap
    drop

    # b[6]
    push.0.0.0.0
    loc_loadw_be.12
    push.0.0.0.0
    loc_loadw_be.0
    swap
    movdn.3
    push.0 dropw
    movup.6
    dup.1
    movup.6
    push.0
    exec.mulstep
    swap
    movdn.6
    swap
    movup.4
    movup.5
    swap.3
    exec.mulstep
    drop
    movdn.2
    drop drop

    # b[7]
    push.0.0.0.0
    loc_loadw_be.12
    push.0.0.0.0
    loc_loadw_be.0

    movdn.3 push.0 dropw
    movup.4
    movup.5
    movdn.2
    push.0
    exec.mulstep
    drop
    movdn.3
    drop drop drop

    push.0.0.0.0
    loc_loadw_be.16
    swapw
end