将CTE应用于递归查询

我正在尝试应用CTE和递归查询.数据库是MariaDB 10.2或更高版本.

业务规则如下:

账户可以是持股或投资组合.

控股包含一定数量的资金.

控股可以是活跃的和不活跃的.

投资组合包含零个或多个账户,这些账户可以属于多个投资组合.

在确定投资组合的价值时,每个账户的总价值乘以"权重"因子.

我的架构如下(注释char用于id类型仅用于说明目的,但我将真正使用int):

CREATE TABLE IF NOT EXISTS accounts (
  id CHAR(4) NOT NULL,
  name VARCHAR(45) NOT NULL,
  type ENUM('holding', 'portfolio') NULL,
  PRIMARY KEY (id))
ENGINE = InnoDB;

CREATE TABLE IF NOT EXISTS holdings (
  accounts_id CHAR(4) NOT NULL,
  value DECIMAL(6,2) NOT NULL,
  active TINYINT NOT NULL,
  PRIMARY KEY (accounts_id),
  CONSTRAINT fk_holdings_accounts
    FOREIGN KEY (accounts_id)
    REFERENCES accounts (id)
    ON DELETE NO ACTION
    ON UPDATE NO ACTION)
ENGINE = InnoDB;

CREATE TABLE IF NOT EXISTS portfolios (
  accounts_id CHAR(4) NOT NULL,
  PRIMARY KEY (accounts_id),
  CONSTRAINT fk_portfolios_accounts1
    FOREIGN KEY (accounts_id)
    REFERENCES accounts (id)
    ON DELETE NO ACTION
    ON UPDATE NO ACTION)
ENGINE = InnoDB;

CREATE TABLE IF NOT EXISTS portfolios_has_accounts (
  portfolios_id CHAR(4) NOT NULL,
  accounts_id CHAR(4) NOT NULL,
  weight DECIMAL(4,2) NOT NULL,
  PRIMARY KEY (portfolios_id, accounts_id),
  INDEX fk_portfolios_has_accounts_accounts1_idx (accounts_id ASC),
  INDEX fk_portfolios_has_accounts_portfolios1_idx (portfolios_id ASC),
  CONSTRAINT fk_portfolios_has_accounts_portfolios1
    FOREIGN KEY (portfolios_id)
    REFERENCES portfolios (accounts_id)
    ON DELETE NO ACTION
    ON UPDATE NO ACTION,
  CONSTRAINT fk_portfolios_has_accounts_accounts1
    FOREIGN KEY (accounts_id)
    REFERENCES accounts (id)
    ON DELETE NO ACTION
    ON UPDATE NO ACTION)
ENGINE = InnoDB;

样本数据如下:

INSERT INTO accounts(id,name,type) VALUES ('p1','portfolio1','portfolio'),('p2','portfolio2','portfolio'),('p3','portfolio3','portfolio'),('h1','holding1','holding'),('h2','holding2','holding'),('h3','holding3','holding'),('h4','holding4','holding');
INSERT INTO holdings(accounts_id,value,active) VALUES ('h1','50','1'),('h2','40','0'),('h3','70','1'),('h4','40','1');
INSERT INTO portfolios(accounts_id) VALUES ('p1'),('p2'),('p3');
INSERT INTO portfolios_has_accounts(portfolios_id,accounts_id,weight) VALUES ('p1','h1','1'),('p1','p2','0.5'),('p2','h2','2'),('p2','p3','1'),('p3','h3','2'),('p3','h4','0.5');

账户

id  name        type
p1  portfolio1  portfolio
p2  portfolio2  portfolio
p3  portfolio3  portfolio
h1  holding1    holding
h2  holding2    holding
h3  holding3    holding
h4  holding4    holding

投资组合

portfolios_id
p1
p2
p3

增持

id value active
h1  50   1
h2  40   0
h3  70   1
h4  40   1

portfolios_has_accounts

portfolios_id   accounts_id weight
p1               h1         1
p1               p2         0.5
p2               h2         2
p2               p3         1
p3               h3         2
p3               h4         0.5

我的目标是找到:

查找仅包含有效馆藏的所有帐户.给定样本数据,它是p3,h1,h3和h4.不包括p2,因为它包括不活跃的h2,并且因为它包括p2而不包括p1.

投资组合p1的总价值.给出样本数据,它是170:1*50 + 0.5*(2*40 + 1*(2*70 + 0.5*40))

持有量乘以的常数导致投资组合p1的总价值.给出样本数据,它们如下(注意1*h1 + 1*h2 + 1*h3 + 0.25*h4 = 170)

.

id  weight
h1  1
h2  1
h3  1
h4  .25

我怎么能做到这一点？