#!/usr/bin/env python
import unittest
from tinygrad.shape.symbolic import Node, MulNode, SumNode, Variable, NumNode, LtNode, sym_render, sym_infer, create_rednode

class TestSymbolic(unittest.TestCase):
  def helper_test_variable(self, v, n, m, s):
    self.assertEqual(v.render(), s)
    self.assertEqual(v.min, n)
    self.assertEqual(v.max, m)

  def test_ge(self):
    self.helper_test_variable(Variable("a", 3, 8)>=77, 0, 0, "0")
    self.helper_test_variable(Variable("a", 3, 8)>=9, 0, 0, "0")
    self.helper_test_variable(Variable("a", 3, 8)>=8, 0, 1, "((a*-1)<-7)")
    self.helper_test_variable(Variable("a", 3, 8)>=4, 0, 1, "((a*-1)<-3)")
    self.helper_test_variable(Variable("a", 3, 8)>=3, 1, 1, "1")
    self.helper_test_variable(Variable("a", 3, 8)>=2, 1, 1, "1")

  def test_lt(self):
    self.helper_test_variable(Variable("a", 3, 8)<77, 1, 1, "1")
    self.helper_test_variable(Variable("a", 3, 8)<9, 1, 1, "1")
    self.helper_test_variable(Variable("a", 3, 8)<8, 0, 1, "(a<8)")
    self.helper_test_variable(Variable("a", 3, 8)<4, 0, 1, "(a<4)")
    self.helper_test_variable(Variable("a", 3, 8)<3, 0, 0, "0")
    self.helper_test_variable(Variable("a", 3, 8)<2, 0, 0, "0")

  def test_ge_divides(self):
    expr = (Variable("idx", 0, 511)*4 + Variable("FLOAT4_INDEX", 0, 3)) < 512
    self.helper_test_variable(expr, 0, 1, "(idx<128)")

  def test_ge_divides_and(self):
    expr = Variable.ands([(Variable("idx1", 0, 511)*4 + Variable("FLOAT4_INDEX", 0, 3)) < 512,
                          (Variable("idx2", 0, 511)*4 + Variable("FLOAT4_INDEX", 0, 3)) < 512])
    self.helper_test_variable(expr, 0, 1, "((idx1<128) and (idx2<128))")
    expr = Variable.ands([(Variable("idx1", 0, 511)*4 + Variable("FLOAT4_INDEX", 0, 3)) < 512,
                          (Variable("idx2", 0, 511)*4 + Variable("FLOAT8_INDEX", 0, 7)) < 512])
    self.helper_test_variable(expr//4, 0, 1, "((((FLOAT8_INDEX//4)+idx2)<128) and ((idx1//4)<32))")

  def test_lt_factors(self):
    expr = Variable.ands([(Variable("idx1", 0, 511)*4 + Variable("FLOAT4_INDEX", 0, 256)) < 512])
    self.helper_test_variable(expr, 0, 1, "(((idx1*4)+FLOAT4_INDEX)<512)")

  def test_div_becomes_num(self):
    assert isinstance(Variable("a", 2, 3)//2, NumNode)

  def test_var_becomes_num(self):
    assert isinstance(Variable("a", 2, 2), NumNode)

  def test_equality(self):
    idx1 = Variable("idx1", 0, 3)
    idx2 = Variable("idx2", 0, 3)
    assert idx1 == idx1
    assert idx1 != idx2
    assert idx1*4 == idx1*4
    assert idx1*4 != idx1*3
    assert idx1*4 != idx1+4
    assert idx1*4 != idx2*4
    assert idx1+idx2 == idx1+idx2
    assert idx1+idx2 == idx2+idx1
    assert idx1+idx2 != idx2

  def test_factorize(self):
    a = Variable("a", 0, 8)
    self.helper_test_variable(a*2+a*3, 0, 8*5, "(a*5)")

  def test_factorize_no_mul(self):
    a = Variable("a", 0, 8)
    self.helper_test_variable(a+a*3, 0, 8*4, "(a*4)")

  def test_neg(self):
    self.helper_test_variable(-Variable("a", 0, 8), -8, 0, "(a*-1)")

  def test_add_1(self):
    self.helper_test_variable(Variable("a", 0, 8)+1, 1, 9, "(1+a)")

  def test_add_num_1(self):
    self.helper_test_variable(Variable("a", 0, 8)+Variable.num(1), 1, 9, "(1+a)")

  def test_sub_1(self):
    self.helper_test_variable(Variable("a", 0, 8)-1, -1, 7, "(-1+a)")

  def test_sub_num_1(self):
    self.helper_test_variable(Variable("a", 0, 8)-Variable.num(1), -1, 7, "(-1+a)")

  def test_mul_0(self):
    self.helper_test_variable(Variable("a", 0, 8)*0, 0, 0, "0")

  def test_mul_1(self):
    self.helper_test_variable(Variable("a", 0, 8)*1, 0, 8, "a")

  def test_mul_neg_1(self):
    self.helper_test_variable((Variable("a", 0, 2)*-1)//3, -1, 0, "((((a*-1)+3)//3)+-1)")

  def test_mul_2(self):
    self.helper_test_variable(Variable("a", 0, 8)*2, 0, 16, "(a*2)")

  def test_div_1(self):
    self.helper_test_variable(Variable("a", 0, 8)//1, 0, 8, "a")

  def test_mod_1(self):
    self.helper_test_variable(Variable("a", 0, 8)%1, 0, 0, "0")

  def test_add_min_max(self):
    self.helper_test_variable(Variable("a", 0, 8) * 2 + 12, 12, 16+12, "((a*2)+12)")

  def test_div_min_max(self):
    self.helper_test_variable(Variable("a", 0, 7) // 2, 0, 3, "(a//2)")

  def test_div_neg_min_max(self):
    self.helper_test_variable(Variable("a", 0, 7) // -2, -3, 0, "((a//2)*-1)")

  def test_sum_div_min_max(self):
    self.helper_test_variable(Variable.sum([Variable("a", 0, 7), Variable("b", 0, 3)]) // 2, 0, 5, "((a+b)//2)")

  def test_sum_div_factor(self):
    self.helper_test_variable(Variable.sum([Variable("a", 0, 7)*4, Variable("b", 0, 3)*4]) // 2, 0, 20, "((a*2)+(b*2))")

  def test_sum_div_some_factor(self):
    self.helper_test_variable(Variable.sum([Variable("a", 0, 7)*5, Variable("b", 0, 3)*4]) // 2, 0, 23, "(((a*5)//2)+(b*2))")

  def test_sum_div_some_partial_factor(self):
    self.helper_test_variable(Variable.sum([Variable("a", 0, 7)*6, Variable("b", 0, 7)*6]) // 16, 0, 5, "(((a*3)+(b*3))//8)")
    self.helper_test_variable(Variable.sum([Variable.num(16), Variable("a", 0, 7)*6, Variable("b", 0, 7)*6]) // 16, 1, 6, "((((a*3)+(b*3))//8)+1)")

  def test_sum_div_no_factor(self):
    self.helper_test_variable(Variable.sum([Variable("a", 0, 7)*5, Variable("b", 0, 3)*5]) // 2, 0, 25, "(((a*5)+(b*5))//2)")

  def test_mod_factor(self):
    # NOTE: even though the mod max is 50, it can't know this without knowing about the mul
    self.helper_test_variable(Variable.sum([Variable("a", 0, 7)*100, Variable("b", 0, 3)*50]) % 100, 0, 99, "((b*50)%100)")

  def test_mod_to_sub(self):
    # This is mod reduction
    self.helper_test_variable((1+Variable("a",1,2))%2, 0, 1, (Variable("a",1,2)-1).render())

  def test_sum_div_const(self):
    self.helper_test_variable(Variable.sum([Variable("a", 0, 7)*4, Variable.num(3)]) // 4, 0, 7, "a")

  def test_sum_div_const_big(self):
    self.helper_test_variable(Variable.sum([Variable("a", 0, 7)*4, Variable.num(3)]) // 16, 0, 1, "(a//4)")

  def test_sum_lt_fold(self):
    self.helper_test_variable(Variable.sum([Variable("a", 0, 7) * 4, Variable("b", 0, 3)]) < 16, 0, 1, "(a<4)")
    self.helper_test_variable(Variable.sum([Variable("a", 0, 7) * 4, Variable("b", 0, 4)]) < 16, 0, 1, "(((a*4)+b)<16)")

  def test_mod_mul(self):
    self.helper_test_variable((Variable("a", 0, 5)*10)%9, 0, 5, "a")

  def test_mod_mod(self):
    self.helper_test_variable((Variable("a", 0, 31)%12)%4, 0, 3, "(a%4)")
    self.helper_test_variable(((4*Variable("a", 0, 31)) % 12) % 4, 0, 0, "0")
    self.helper_test_variable((Variable("a", 0, 31) % 4) % 12, 0, 3, "(a%4)")

  def test_mul_mul(self):
    self.helper_test_variable((Variable("a", 0, 5)*10)*9, 0, 5*10*9, "(a*90)")

  def test_mul_lt(self):
    self.helper_test_variable((Variable("a", 0, 5)*4)<13, 0, 1, "(a<4)")
    self.helper_test_variable((Variable("a", 0, 5)*4)<16, 0, 1, "(a<4)")
    self.helper_test_variable((Variable("a", 0, 5)*4)>11, 0, 1, "((a*-1)<-2)")
    self.helper_test_variable((Variable("a", 0, 5)*4)>12, 0, 1, "((a*-1)<-3)")

  def test_div_div(self):
    self.helper_test_variable((Variable("a", 0, 1800)//10)//9, 0, 20, "(a//90)")

  def test_distribute_mul(self):
    self.helper_test_variable(Variable.sum([Variable("a", 0, 3), Variable("b", 0, 5)])*3, 0, 24, "((a*3)+(b*3))")

  def test_mod_mul_sum(self):
    self.helper_test_variable(Variable.sum([Variable("b", 0, 2), Variable("a", 0, 5)*10])%9, 0, 7, "(a+b)")

  def test_sum_0(self):
    self.helper_test_variable(Variable.sum([Variable("a", 0, 7)]), 0, 7, "a")

  def test_mod_remove(self):
    self.helper_test_variable(Variable("a", 0, 6)%100, 0, 6, "a")

  def test_big_mod(self):
    # NOTE: we no longer support negative variables
    #self.helper_test_variable(Variable("a", -20, 20)%10, -9, 9, "(a%10)")
    #self.helper_test_variable(Variable("a", -20, 0)%10, -9, 0, "(a%10)")
    #self.helper_test_variable(Variable("a", -20, 1)%10, -9, 1, "(a%10)")
    self.helper_test_variable(Variable("a", 0, 20)%10, 0, 9, "(a%10)")
    #self.helper_test_variable(Variable("a", -1, 20)%10, -1, 9, "(a%10)")

  def test_gt_remove(self):
    self.helper_test_variable(Variable("a", 0, 6) >= 25, 0, 0, "0")

  def test_lt_remove(self):
    self.helper_test_variable(Variable("a", 0, 6) < -3, 0, 0, "0")
    self.helper_test_variable(Variable("a", 0, 6) < 3, 0, 1, "(a<3)")
    self.helper_test_variable(Variable("a", 0, 6) < 8, 1, 1, "1")

  def test_lt_sum_remove(self):
    self.helper_test_variable((Variable("a", 0, 6) + 2) < 3, 0, 1, "(a<1)")

  def test_and_fold(self):
    self.helper_test_variable(Variable.ands([Variable.num(0), Variable("a", 0, 1)]), 0, 0, "0")

  def test_and_remove(self):
    self.helper_test_variable(Variable.ands([Variable.num(1), Variable("a", 0, 1)]), 0, 1, "a")

  def test_mod_factor_negative(self):
    self.helper_test_variable(Variable.sum([Variable.num(-29), Variable("a", 0, 10), Variable("b", 0, 10)*28]) % 28, 0, 27, "((27+a)%28)")
    self.helper_test_variable(Variable.sum([Variable.num(-29), Variable("a", 0, 100), Variable("b", 0, 10)*28]) % 28, 0, 27, "((27+a)%28)")

  def test_sum_combine_num(self):
    self.helper_test_variable(Variable.sum([Variable.num(29), Variable("a", 0, 10), Variable.num(-23)]), 6, 16, "(6+a)")

  def test_sum_num_hoisted_and_factors_cancel_out(self):
    self.helper_test_variable(Variable.sum([Variable("a", 0, 1) * -4 + 1, Variable("a", 0, 1) * 4]), 1, 1, "1")

  def test_div_factor(self):
    self.helper_test_variable(Variable.sum([Variable.num(-40), Variable("a", 0, 10)*2, Variable("b", 0, 10)*40]) // 40, -1, 9, "(-1+b)")

  def test_mul_div(self):
    self.helper_test_variable((Variable("a", 0, 10)*4)//4, 0, 10, "a")

  def test_mul_div_factor_mul(self):
    self.helper_test_variable((Variable("a", 0, 10)*8)//4, 0, 20, "(a*2)")

  def test_mul_div_factor_div(self):
    self.helper_test_variable((Variable("a", 0, 10)*4)//8, 0, 5, "(a//2)")

  def test_div_remove(self):
    self.helper_test_variable(Variable.sum([Variable("idx0", 0, 127)*4, Variable("idx2", 0, 3)])//4, 0, 127, "idx0")

  def test_div_numerator_negative(self):
    self.helper_test_variable((Variable("idx", 0, 9)*-10)//11, -9, 0, "((((idx*-10)+99)//11)+-9)")

  def test_div_into_mod(self):
    self.helper_test_variable((Variable("idx", 0, 16)*4)%8//4, 0, 1, "(idx%2)")

class TestSymbolicNumeric(unittest.TestCase):
  def helper_test_numeric(self, f):
    # TODO: why are the negative tests broken? (even if we did support negative variables)
    #MIN, MAX = -10, 10
    MIN, MAX = 0, 10
    # one number
    for i in range(MIN, MAX):
      v = f(Variable.num(i))
      #print(i, f(i), v.min, v.max)
      self.assertEqual(v.min, v.max)
      self.assertEqual(v.min, f(i))
    for kmin in range(MIN, MAX):
      for kmax in range(MIN, MAX):
        if kmin > kmax: continue
        v = f(Variable("tmp", kmin, kmax))
        values = [f(rv) for rv in range(kmin, kmax+1)]
        # the min and max may not be exact
        self.assertLessEqual(v.min, min(values))
        self.assertGreaterEqual(v.max, max(values))

  def test_mod_4(self): self.helper_test_numeric(lambda x: (x%4))
  def test_div_4(self): self.helper_test_numeric(lambda x: (x//4))
  def test_plus_1_div_2(self): self.helper_test_numeric(lambda x: (x+1)//2)
  def test_plus_1_mod_2(self): self.helper_test_numeric(lambda x: (x+1)%2)
  def test_times_2(self): self.helper_test_numeric(lambda x: x*2)
  def test_times_2_plus_3(self): self.helper_test_numeric(lambda x: x*2 + 3)
  def test_times_2_plus_3_mod_4(self): self.helper_test_numeric(lambda x: (x*2 + 3)%4)
  def test_times_2_plus_3_div_4(self): self.helper_test_numeric(lambda x: (x*2 + 3)//4)
  def test_times_2_plus_3_div_4_mod_4(self): self.helper_test_numeric(lambda x: ((x*2 + 3)//4)%4)

class TestSymbolicVars(unittest.TestCase):
  def test_simple(self):
    z = NumNode(0)
    a = Variable("a", 0, 10)
    b = Variable("b", 0, 10)
    c = Variable("c", 0, 10)
    assert z.vars() == z.vars() == []
    assert a.vars() == a.vars() == [a]
    m = MulNode(a, 3)
    assert m.vars() == [a]
    s = SumNode([a, b, c])
    assert s.vars() == [a, b, c]

  def test_compound(self):
    a = Variable("a", 0, 10)
    b = Variable("b", 0, 10)
    c = Variable("c", 0, 10)
    assert (a + b * c).vars() == [a, b, c]
    assert (a % 3 + b // 5).vars() == [a, b]
    assert (a + b + c - a).vars() == [b, c]

class TestSymbolicMinMax(unittest.TestCase):
  def test_min_max_known(self):
    a = Variable("a", 1, 8)
    assert max(1, a) == max(a, 1) == a
    assert min(1, a) == min(a, 1) == 1

class TestSymRender(unittest.TestCase):
  def test_sym_render(self):
    a = Variable("a", 1, 8)
    b = Variable("b", 1, 10)
    assert sym_render(a) == "a"
    assert sym_render(1) == "1"
    assert sym_render(a+1) == "(1+a)"
    assert sym_render(a*b) == "(a*b)"

class TestSymInfer(unittest.TestCase):
  def test_sym_infer(self):
    a = Variable("a", 0, 10)
    b = Variable("b", 0, 10)
    c = Variable("c", 0, 10)
    var_vals = {a: 2, b: 3, c: 4}
    assert sym_infer(5, var_vals) == 5
    assert sym_infer(a, var_vals) == 2
    assert sym_infer(b, var_vals) == 3
    assert sym_infer(a+b, var_vals) == 5
    assert sym_infer(a-b, var_vals) == -1
    assert sym_infer(a+b+c, var_vals) == 9
    assert sym_infer(a*b, var_vals) == 6
    assert sym_infer(a*b+c, var_vals) == 10

class TestSymbolicSymbolicOps(unittest.TestCase):
  def test_node_divmod_node(self):
    i = Variable("i", 1, 10)
    idx0 = Variable("idx0", 0, i*3-1)
    assert NumNode(0) // (Variable("i", 1, 10)*128) == 0
    assert NumNode(0) % (Variable("i", 1, 10)*128) == 0
    assert NumNode(127) // (Variable("i", 1, 10)*128) == 0
    assert NumNode(127) % (Variable("i", 1, 10)*128) == 127
    assert 127 // (Variable("i", 1, 10)*128) == 0
    assert 127 % (Variable("i", 1, 10)*128) == 127
    assert NumNode(128) // (Variable("i", 1, 10)*128 + 128) == 0
    assert NumNode(128) % (Variable("i", 1, 10)*128 + 128) == 128
    assert 128 // (Variable("i", 1, 10)*128 + 128) == 0
    assert 128 % (Variable("i", 1, 10)*128 + 128) == 128
    assert 0 // (Variable("i", 1, 10)*128) == 0
    assert 0 % (Variable("i", 1, 10)*128) == 0
    assert idx0 // (i*3) == 0
    assert idx0 % (i*3) == idx0
    assert i // i == 1
    assert i % i == 0
    assert 128 // NumNode(4) == 32
    assert 128 % NumNode(4) == 0
    assert NumNode(128) // NumNode(4) == 32
    assert NumNode(128) % NumNode(4) == 0

  def test_mulnode_divmod_node(self):
    i = Variable("i", 1, 10)
    idx0 = Variable("idx0", 0, 31)
    assert (idx0*(i*4+4)) // (i+1) == (idx0*4)
    assert (idx0*(i*4+4)) % (i+1) == 0
    assert (idx0*i) % i == 0

  def test_sumnode_divmod_sumnode(self):
    i = Variable("i", 1, 10)
    idx0 = Variable("idx0", 0, 7)
    idx1 = Variable("idx1", 0, 3)
    idx2 = Variable("idx2", 0, i)
    assert (idx0*(i*4+4)+idx1*(i+1)+idx2) // (i+1) == idx0*4+idx1
    assert (idx0*(i*4+4)+idx1*(i+1)+idx2) % (i+1) == idx2
    assert (i+1) // (i*128+128) == 0
    assert (i+1) % (i*128+128) == (i+1)
    assert (i+1+idx2) // (i+1) == 1
    assert (i+1+idx2) % (i+1) == idx2
    assert (idx0*(i*4+4)+i+1+idx2) // (i+1) == idx0*4+1
    assert (idx0*(i*4+4)+i+1+idx2) % (i+1) == idx2
    assert (i*128+128)*2 // (i*128+128) == 2
    assert (i*128+128)*2 % (i*128+128) == 0

  def test_sumnode_divmod_sumnode_complex(self):
    i = Variable("i", 1, 1024)
    gidx0 = Variable("gidx0", 0, i)
    lidx1 = Variable("lidx1", 0, 7)
    ridx2 = Variable("ridx1", 0, 31)
    assert ((i*128+128)*2 + gidx0*128 + lidx1*(i*512+512) + ridx2*4) // (i*128+128) == 2 + lidx1*4
    assert ((i*128+128)*2 + gidx0*128 + lidx1*(i*512+512) + ridx2*4) % (i*128+128) == gidx0*128 + ridx2*4
    assert ((gidx0*128+i*128+ridx2*4+129)) // (i*128+128) == 1
    assert ((gidx0*128+i*128+ridx2*4+129)) % (i*128+128) == gidx0*128 + ridx2*4 + 1
    assert (ridx2*(i*4+4)+1+i+gidx0) // (i*128+128) == 0
    assert (ridx2*(i*4+4)+1+i+gidx0) % (i*128+128) == (ridx2*(i*4+4)+1+i+gidx0)

  def test_node_lt_node(self):
    a = Variable("a", 1, 5)
    b = Variable("b", 6, 9)
    c = Variable("c", 1, 10)
    d = Variable("d", 5, 10)
    # if the value is always the same, it folds to num
    assert (a < b) == 1
    assert (b < a) == 0
    assert (d < a) == 0
    # if it remains as a LtNode, bool is always true and (min, max) == (0, 1)
    assert isinstance((a < c), LtNode) and (a < c).min == 0 and (a < c).max == 1
    assert a < c
    assert isinstance((a > c), LtNode) and (a > c).min == 0 and (a > c).max == 1
    # same when comparing with a constant
    assert a < 3 and (a < 3).min == 0 and (a < 3).max == 1
    assert a > 3 and (a > 3).min == 0 and (a > 3).max == 1

  def test_num_node_mul_node(self):
    a = Variable("a", 1, 5)
    b = NumNode(2) * a
    assert b == a * 2
    assert isinstance(b, MulNode)
    b = NumNode(1) * a
    assert b == a
    assert isinstance(b, Variable)
    b = NumNode(0) * a
    assert b == 0
    assert isinstance(b, NumNode)

  def test_num_node_expand(self):
    a = NumNode(42)
    assert a.expand() == [a]

  def test_variable_expand(self):
    a = Variable("a", 5, 7)
    assert a.expand() == [a]

  def test_variable_expand_expr_none(self):
    a = Variable(None, 5, 7)
    assert a.expand() == [NumNode(5), NumNode(6), NumNode(7)]

  def test_mul_node_expand(self):
    a = Variable(None, 5, 7)
    m = MulNode(a, 3)
    assert m.expand() == [NumNode(15), NumNode(18), NumNode(21)]

    b = Variable("b", 1, 3)
    n = MulNode(b, 3)
    assert n.expand() == [Variable("b", 1, 3)*3]

  def test_sum_node_expand(self):
    a = Variable(None, 1, 3)
    b = Variable("b", 5, 7)

    s1 = create_rednode(SumNode, [a, b])
    assert s1.expand() == [Variable.sum([NumNode(i),b]) for i in range(1,4)]

  def test_multi_expand(self):
    a = Variable("a", 1, 3)
    b = Variable("b", 14, 17)
    s1 = create_rednode(SumNode, [a, b])
    # expand increments earlier variables faster than later variables (as specified in the argument)
    # this behavior was just copied from before, no idea why this should be true
    assert s1.expand((a, b)) == [NumNode(x + y) for x in range(b.min, b.max + 1) for y in range(a.min, a.max + 1)]

  def test_substitute(self):
    a = Variable(None, 1, 3)
    b = a + 1
    c = b.substitute({a: NumNode(1)})
    assert c == NumNode(2)


if __name__ == '__main__':
  unittest.main()